diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-Zn4DW4Cgv0.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-Zn4DW4Cgv0.srt new file mode 100644 index 0000000000000000000000000000000000000000..52cb583f1945394e6a7aacf67ba83c29a6ddc7fb --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/-Zn4DW4Cgv0.srt @@ -0,0 +1,1518 @@ + +1 +00:00:02,630 --> 00:00:05,890 +بسم الله الرحمن الرحيم بنستكمل مع محاضرات ال + +2 +00:00:05,890 --> 00:00:12,310 +Geometric Optics وتوقفنا عند ال Prismatic Effect of + +3 +00:00:12,310 --> 00:00:18,450 +lenses must be + +4 +00:00:18,450 --> 00:00:21,730 +anticipated in the design of bifocal lenses to + +5 +00:00:21,730 --> 00:00:26,170 +minimize image displacement and image jump. Image + +6 +00:00:26,170 --> 00:00:27,710 +displacement and image jump. + +7 +00:00:36,740 --> 00:00:42,720 +The bifocal is the center of the addition from the + +8 +00:00:42,720 --> 00:00:47,260 +center of the distance segment The center of the + +9 +00:00:47,260 --> 00:00:49,760 +near segment and the center of the distance + +10 +00:00:49,760 --> 00:00:52,700 +segment when they are close to each other there is + +11 +00:00:52,700 --> 00:00:56,140 +no image displacement or image jump while when + +12 +00:00:56,140 --> 00:00:59,100 +they are away from each other there can be image + +13 +00:00:59,100 --> 00:01:04,240 +displacement or image jump and consequently I have + +14 +00:01:04,240 --> 00:01:07,110 +the flat top bifocal most suitable for this The + +15 +00:01:07,110 --> 00:01:09,690 +subject, especially when we talk about the plus + +16 +00:01:09,690 --> 00:01:12,430 +lenses When we talk about the plus lenses, let's + +17 +00:01:12,430 --> 00:01:18,850 +continue now also the prismatic effect I mean, + +18 +00:01:19,090 --> 00:01:23,490 +what are also its benefits that I can benefit from + +19 +00:01:23,490 --> 00:01:25,790 +the prismatic effect of lenses I mean, how do I + +20 +00:01:25,790 --> 00:01:29,550 +make the lens of the glasses work not only as a + +21 +00:01:29,550 --> 00:01:33,390 +lens, but also work as a prism Work as a prism + +22 +00:01:33,650 --> 00:01:37,090 +بيفيدني هدفي إيش؟ إنه العدسة بتاعة النضارة، + +23 +00:01:37,090 --> 00:01:40,990 +الإنسان لابس و لابس نضارة، فكيف أخلي العدسة تشتغل + +24 +00:01:40,990 --> 00:01:47,290 +كعدسة، كrefractive يعني tool، يعني أداء + +25 +00:01:47,290 --> 00:01:51,290 +للrefraction، لتثبيت الأشعة وعمل focus إليها على + +26 +00:01:51,290 --> 00:01:56,170 +الشبكة، وكيف إنها تشتغل في نفس الوقت كprism، كيف + +27 +00:01:56,170 --> 00:01:59,910 +ده بيتم؟ The clinician can induce prismatic effect + +28 +00:02:00,550 --> 00:02:04,890 +in an ordinary spectacle, في نضارة عادية in an + +29 +00:02:04,890 --> 00:02:08,870 +ordinary spectacle lens كيف؟ simply ببساطة by de + +30 +00:02:08,870 --> 00:02:11,990 +-centering the lens in the frame so that the + +31 +00:02:11,990 --> 00:02:15,630 +visual axis in the primary position does not pass + +32 +00:02:15,630 --> 00:02:19,870 +through the optical center of the spectacle lens + +33 +00:02:19,870 --> 00:02:21,490 +كيف هذا الكلام بيتم؟ + +34 +00:02:24,040 --> 00:02:26,940 +Here I have the template which is the lens before + +35 +00:02:26,940 --> 00:02:29,940 +it is cut and becomes suitable for the frame of + +36 +00:02:29,940 --> 00:02:32,460 +the scooter The template is of course larger than + +37 +00:02:32,460 --> 00:02:35,300 +its diameter which is the lens for example I want + +38 +00:02:35,300 --> 00:02:38,360 +to put here a plus five lens in the frame I will + +39 +00:02:38,360 --> 00:02:40,740 +not bring it all and put it I have to cut it I + +40 +00:02:40,740 --> 00:02:42,780 +will make it edging Edging and this is in the + +41 +00:02:42,780 --> 00:02:45,460 +dispensing that is studied in detail This is the + +42 +00:02:45,460 --> 00:02:51,940 +template's center I want to bring this frame Its + +43 +00:02:51,940 --> 00:02:55,600 +dimensionsand I cut the cap, I cut the glass or + +44 +00:02:55,600 --> 00:02:58,260 +the lens itself, I cut it so that the center is in + +45 +00:02:58,260 --> 00:03:01,580 +the middle the center should be in the middle so + +46 +00:03:01,580 --> 00:03:06,060 +that the pupil comes exactly in the center exactly + +47 +00:03:06,060 --> 00:03:11,720 +in the center and therefore .. exactly .. the + +48 +00:03:11,720 --> 00:03:15,660 +center of the .. of the lens should come exactly + +49 +00:03:15,660 --> 00:03:17,760 +.. of course this happens when you cut .. sorry + +50 +00:03:19,800 --> 00:03:23,600 +هذا الجزء مش لازم، بس هناخد هذا الجزء اللي هو + +51 +00:03:23,600 --> 00:03:29,180 +مناسب لل friend، يعني تقطع من الكل و بيكتفي بهذا + +52 +00:03:29,180 --> 00:03:36,220 +الجزء طيب، أنا عاد بدي أجوس بشكل بحيث أنه يكون + +53 +00:03:36,220 --> 00:03:39,780 +عندي decentration عشان أحصل على prismatic effect، + +54 +00:03:39,780 --> 00:03:43,120 +decentration عشان أحصل على prismatic effect طبعا + +55 +00:03:43,120 --> 00:03:46,700 +النضارة، العين، عين الإنسان اللي لابس النضارة هضل + +56 +00:03:46,700 --> 00:03:53,040 +.. هضل تطلع من منتصف ال frame من منتصف ال frame + +57 +00:03:53,040 --> 00:04:00,980 +بينما ال center هنا ال center هنا أزيح عشان يكون + +58 +00:04:00,980 --> 00:04:07,040 +الصورة أوضح اذا + +59 +00:04:07,040 --> 00:04:12,830 +العين هتضل تتطلع من مص ال frame While the center of + +60 +00:04:12,830 --> 00:04:15,490 +the lens is fixed in the frame, which is the + +61 +00:04:15,490 --> 00:04:18,270 +glasses, the center is coming out temporarily + +62 +00:04:18,270 --> 00:04:23,230 +Okay, it can be cut in the following way + +63 +00:04:34,890 --> 00:04:38,430 +طبعا لما بيلبس النظارة هيكون العين في نص ال frame + +64 +00:04:38,430 --> 00:04:43,750 +هنا ال center بتاع العدسة اللي انجسط لجوا يعني ال + +65 +00:04:43,750 --> 00:04:48,710 +center صارله decentration in in decentration او + +66 +00:04:48,710 --> 00:04:53,490 +inward decentration طيب مثال اخر ممكن انا اجس + +67 +00:04:53,490 --> 00:04:58,910 +الشابلونة بالطريقة التالية دائما + +68 +00:04:58,910 --> 00:05:04,500 +و ابدا العين هتضلها في نص ال frameالان ال center + +69 +00:05:04,500 --> 00:05:08,800 +وين صار، الان ال center صار في الأسفل، اذا حسب انا + +70 +00:05:08,800 --> 00:05:12,020 +طريقة جثي لها وهذا مشروع في ال dispensing بشكل + +71 +00:05:12,020 --> 00:05:15,720 +بشكل ممتاز، طيب ممكن انا اعمل decentralization + +72 +00:05:15,720 --> 00:05:18,300 +مركب، يعني ايش decentralization مركب؟ نشوف المنظر + +73 +00:05:18,300 --> 00:05:24,440 +هذا، انا هجث الشبلونة بالشكل هذا، برضه العين + +74 +00:05:24,440 --> 00:05:31,590 +هتضلها تتطلع في نص ال frame The eye will come out + +75 +00:05:31,590 --> 00:05:33,290 +from the middle of the frame, so it doesn't come + +76 +00:05:33,290 --> 00:05:35,390 +out from the center of the lens because the center + +77 +00:05:35,390 --> 00:05:40,530 +of the lens has out and up decentration Out and up + +78 +00:05:40,530 --> 00:05:45,570 +decentration, it became in the outer corner and + +79 +00:05:45,570 --> 00:05:51,570 +the top of this lens So the center of the lens + +80 +00:05:51,570 --> 00:05:54,330 +became here Okay, also among the complex things + +81 +00:05:58,520 --> 00:06:06,100 +ممكن اجس الشبلونة بالشكل هذا بحيث انه يكون عندى ال + +82 +00:06:06,100 --> 00:06:09,540 +.. طبعا الين هتبطلع من نص ال frame هنا ال center + +83 +00:06:09,540 --> 00:06:15,120 +وزيح لجوا و للأعلى in and up decentration طب ماليش + +84 +00:06:15,120 --> 00:06:19,800 +الهدف من كل هذا الكلام؟ طب ماليش معناه يعني اجس + +85 +00:06:19,800 --> 00:06:24,240 +الشبلونة من النص و يكون ال center في النص + +86 +00:06:27,850 --> 00:06:32,070 +ويتطلع من خلال الـSyntax، بنقول أحيانا إحنا بنحتاج + +87 +00:06:32,070 --> 00:06:35,800 +لprismatic effect We need the prismatic effect + +88 +00:06:35,800 --> 00:06:38,040 +Instead of describing a pair of glasses, they + +89 +00:06:38,040 --> 00:06:41,760 +should wear glasses that have refractive error So + +90 +00:06:41,760 --> 00:06:44,040 +instead of describing a pair of glasses with a + +91 +00:06:44,040 --> 00:06:47,400 +prism in front of them, we want the same lens to + +92 +00:06:47,400 --> 00:06:51,100 +work as a lens and as a prism at the same time + +93 +00:06:51,100 --> 00:06:54,160 +How? By the law of decentration If we don't do + +94 +00:06:54,160 --> 00:06:58,420 +this, the visual axis or the eye will keep looking + +95 +00:06:58,420 --> 00:07:01,220 +through the center It is known that the prismatic + +96 +00:07:01,220 --> 00:07:05,320 +effect at the center is zero إن العدسة في كل + +97 +00:07:05,320 --> 00:07:09,660 +نقاطها، في كل أجزائها ممكن تشتغل كprism بالإضافة + +98 +00:07:09,660 --> 00:07:14,280 +لكونها عدسة، بس إلا في نقطة واحدة مش ممكن تشتغل + +99 +00:07:14,280 --> 00:07:18,540 +كprism، اللي هي في ال center، في ال center، + +100 +00:07:18,540 --> 00:07:21,800 +فبالتالي In the optical center, the pupil can't + +101 +00:07:21,800 --> 00:07:26,520 +stay up, so we need to move the optical center to + +102 +00:07:26,520 --> 00:07:29,880 +get a prismatic effect in a certain direction So + +103 +00:07:29,880 --> 00:07:34,380 +if we want base up, base down, base in, base out, + +104 +00:07:34,640 --> 00:07:36,200 +depending on what we want, depending on whether + +105 +00:07:36,200 --> 00:07:40,400 +the lens is minus or plus Okay, so sometimes we + +106 +00:07:40,400 --> 00:07:45,620 +need to get a prismatic effect from the lens Okay, + +107 +00:07:45,940 --> 00:07:49,460 +what's the use of this prismatic effect? What's + +108 +00:07:49,460 --> 00:07:53,120 +the use of it? We want to see this simple example + +109 +00:07:53,120 --> 00:07:57,640 +that we have And + +110 +00:07:57,640 --> 00:08:01,500 +this example explains many things Let's say I have + +111 +00:08:01,500 --> 00:08:04,720 +a straight eye, let's draw it + +112 +00:08:13,520 --> 00:08:16,100 +هي عين التانية اللي هي واحدة يمين واحدة شمال + +113 +00:09:23,250 --> 00:09:26,370 +This eye is straight, this eye is slightly iso, + +114 +00:09:26,910 --> 00:09:29,650 +slightly iso, it has a simple circle, it has a + +115 +00:09:29,650 --> 00:09:33,190 +refractive error, and as long as there is a simple + +116 +00:09:33,190 --> 00:09:37,210 +circle, we say as follows, this is the fovea, we + +117 +00:09:37,210 --> 00:09:37,690 +mark it + +118 +00:10:18,890 --> 00:10:23,650 +So, I have the fovea here straight on the target, + +119 +00:10:23,770 --> 00:10:32,190 +we draw a target This is the + +120 +00:10:32,190 --> 00:10:37,050 +object that the two eyes are looking at Now, in + +121 +00:10:37,050 --> 00:10:39,970 +order for the person to regain the binocular + +122 +00:10:39,970 --> 00:10:43,570 +single vision, like this light circle I can use a + +123 +00:10:43,570 --> 00:10:43,850 +simple prism + +124 +00:11:03,660 --> 00:11:08,820 +With a simple prism in + +125 +00:11:08,820 --> 00:11:12,380 +front of + +126 +00:11:12,380 --> 00:11:18,180 +the eye, what will happen to it? Before the prism + +127 +00:11:18,180 --> 00:11:22,040 +stops, it will remove the prism, the rays of the + +128 +00:11:22,040 --> 00:11:26,800 +object will fall directly on the fovea here + +129 +00:11:40,030 --> 00:11:49,670 +alphobia and here it falls it + +130 +00:11:49,670 --> 00:11:53,290 +falls from the object to nasal retina to nasal + +131 +00:11:53,290 --> 00:11:57,130 +retina because it has esophotopia esotropia okay + +132 +00:11:57,130 --> 00:12:03,020 +when I go and add the prism the prismit will move + +133 +00:12:03,020 --> 00:12:10,940 +the rays towards it's base instead of falling on + +134 +00:12:10,940 --> 00:12:16,160 +the nitrogen here it will move it towards the base + +135 +00:12:16,160 --> 00:12:19,360 +and bring it to the fovea it will bring it to the + +136 +00:12:19,360 --> 00:12:24,120 +fovea and it will become + +137 +00:12:24,120 --> 00:12:29,880 +as if with the help of this prism The image was + +138 +00:12:29,880 --> 00:12:34,360 +dropped on points similar to the network of the + +139 +00:12:34,360 --> 00:12:36,620 +two eyes on the fovea and the fovea correspond to + +140 +00:12:36,620 --> 00:12:43,040 +the retinal points. As a result, the work of the + +141 +00:12:43,040 --> 00:12:45,240 +two eyes as a team is restored. The binocular + +142 +00:12:45,240 --> 00:12:47,100 +single video is restored. So with the help of this + +143 +00:12:47,100 --> 00:12:50,960 +prism, provided that it is light. Okay. This + +144 +00:12:50,960 --> 00:12:53,700 +person has a refractive error. I want to wear + +145 +00:12:53,700 --> 00:12:56,320 +glasses and wear a prism above the glasses in + +146 +00:12:56,320 --> 00:12:59,950 +front of one of the two eyes.It can happen to me + +147 +00:12:59,950 --> 00:13:04,270 +that I have a problem So instead of wearing + +148 +00:13:04,270 --> 00:13:06,110 +glasses and above the glasses in front of the + +149 +00:13:06,110 --> 00:13:08,490 +glasses there is a prism It means that I can do + +150 +00:13:08,490 --> 00:13:13,670 +decentration in the optical center Decentration in + +151 +00:13:13,670 --> 00:13:17,630 +order to get a base out of the prism Or + +152 +00:13:17,630 --> 00:13:20,510 +decentration in order to get a base in the prism + +153 +00:13:20,510 --> 00:13:25,250 +in the case of exotropia Or to get a base down the + +154 +00:13:25,250 --> 00:13:27,210 +prism in the case of hypertropia and so on + +155 +00:13:29,320 --> 00:13:34,660 +Leprismatic effect of lenses بأستخدمه عشان أحاول + +156 +00:13:34,660 --> 00:13:40,020 +أعدل طبعا مش جماليا وظيفيا واضح أنه جماليا أنه + +157 +00:13:40,020 --> 00:13:43,240 +العين لازالت فيها حوال لجوا بس وهي فيها حوال + +158 +00:13:43,240 --> 00:13:47,440 +بمساعدة لبرزم وكأنه لبرزم بعوض عن زاوية الحوال + +159 +00:13:47,440 --> 00:13:50,820 +ويسقط الصورة على ال corresponding ال fovea من ال + +160 +00:13:50,820 --> 00:13:52,080 +corresponding معها + +161 +00:13:54,420 --> 00:13:57,540 +The fovea in the left eye that corresponds to it + +162 +00:13:57,540 --> 00:14:00,220 +naturally is the fovea in the right eye With the + +163 +00:14:00,220 --> 00:14:05,240 +help of this prism, the pictures were dropped on + +164 +00:14:05,240 --> 00:14:11,480 +corresponding retinal areas So this gives me a + +165 +00:14:11,480 --> 00:14:16,840 +slight angle of rotation Now we come to talk about + +166 +00:14:16,840 --> 00:14:24,370 +another issue We say as usual If I used the prism + +167 +00:14:24,370 --> 00:14:29,150 +or .. or I mean .. let's make it short because + +168 +00:14:29,150 --> 00:14:32,750 +this is a detail in the topic around it We say, + +169 +00:14:32,870 --> 00:14:35,110 +can I use it only in front of the eye around it? + +170 +00:14:35,150 --> 00:14:40,400 +No, I can use it أمام العين السليمة أو أمام العين + +171 +00:14:40,400 --> 00:14:43,220 +اللي فيها الحوال أو أقسم قوة ال prism مثلا بالزمني + +172 +00:14:43,220 --> 00:14:47,540 +ستة prism ضيوبة أقسمه تلاتة و تلاتة بس ضروري اتجاه + +173 +00:14:47,540 --> 00:14:52,300 +ال base يكون صحيح اتجاه ال base صحيح الحوال الأنسي + +174 +00:14:52,300 --> 00:14:57,050 +لما العين بتدخل لجوا بده base out Based out, + +175 +00:14:57,110 --> 00:14:59,510 +whether in front of two eyes or in front of both + +176 +00:14:59,510 --> 00:15:02,350 +eyes And the wild animal needs a base in, and so + +177 +00:15:02,350 --> 00:15:06,750 +on Now we want to take an example to see how this + +178 +00:15:06,750 --> 00:15:20,270 +case is explained Let's say an example Let's + +179 +00:15:20,270 --> 00:15:24,930 +say Child, eight years old + +180 +00:15:28,680 --> 00:15:38,920 +with left esotropia measuring + +181 +00:15:38,920 --> 00:15:44,960 +5 + +182 +00:15:44,960 --> 00:15:50,380 +prism diopters his + +183 +00:15:50,380 --> 00:15:54,340 +refraction or + +184 +00:15:54,340 --> 00:15:57,080 +refractive error is + +185 +00:15:59,650 --> 00:16:03,670 +right eye plus + +186 +00:16:03,670 --> 00:16:14,050 +one diopter and left eye plus + +187 +00:16:14,050 --> 00:16:21,610 +five diopters what + +188 +00:16:21,610 --> 00:16:23,950 +amount + +189 +00:16:25,520 --> 00:16:35,580 +of spectacle of lens decentration and + +190 +00:16:35,580 --> 00:16:44,260 +in what direction should + +191 +00:16:44,260 --> 00:16:49,760 +what amount of lens decentration and in what + +192 +00:16:49,760 --> 00:16:57,350 +direction should this be doneيعني نيجي نقول + +193 +00:16:57,350 --> 00:17:04,510 +كالقاتل عشان + +194 +00:17:04,51 + +223 +00:19:58,760 --> 00:20:00,620 +esotropia means that the eye is inside or inwards, + +224 +00:20:00,820 --> 00:20:04,760 +of course, What is the prism that needs to be + +225 +00:20:04,760 --> 00:20:08,880 +treated? So that we can give a very simple + +226 +00:20:08,880 --> 00:20:12,600 +information. If + +227 +00:20:12,600 --> 00:20:15,480 +we assume that the prism, the top of it, the top + +228 +00:20:15,480 --> 00:20:18,520 +of it, is like an arrow pointing towards the nose. + +229 +00:20:18,520 --> 00:20:22,540 +And if we assume that this prism is an arrow, or + +230 +00:20:22,540 --> 00:20:25,540 +the top of an arrow, it's like pointing towards + +231 +00:20:25,540 --> 00:20:31,200 +the inside, towards the nose. So, always and never + +232 +00:20:33,210 --> 00:20:38,270 +When I use prisms to fix a small quantity, on + +233 +00:20:38,270 --> 00:20:41,090 +duty of course, not for beauty. For beauty, the + +234 +00:20:41,090 --> 00:20:43,330 +eye will stay inside even if he is wearing a + +235 +00:20:43,330 --> 00:20:47,930 +prism. Okay, when I want to fix a simple + +236 +00:20:47,930 --> 00:20:51,070 +esotropia on duty, I see where the circle is + +237 +00:20:51,070 --> 00:20:53,810 +directed, I make the apex towards the direction of + +238 +00:20:53,810 --> 00:20:56,450 +the circle. Towards the direction of the circle. + +239 +00:20:56,550 --> 00:20:58,270 +Okay, this eye is directed inside, which means + +240 +00:20:58,270 --> 00:21:02,640 +towards the apex. No, inside, but we don't call the + +241 +00:21:02,640 --> 00:21:04,900 +prism by the name of the apex, we call it by the + +242 +00:21:04,900 --> 00:21:07,460 +name of the base, as long as the apex is inside, + +243 +00:21:07,660 --> 00:21:13,590 +the base is out, the base is out, so to get a + +244 +00:21:13,590 --> 00:21:15,450 +functional treatment for this small amount of + +245 +00:21:15,450 --> 00:21:19,490 +esotropia, must be done without using a prism. + +246 +00:21:19,490 --> 00:21:22,170 +Without using a prism, it will emit a small amount + +247 +00:21:22,170 --> 00:21:23,410 +of radiation, depending on its strength of course, + +248 +00:21:23,490 --> 00:21:27,990 +a weak prism is required to cure esotropia which + +249 +00:21:27,990 --> 00:21:30,790 +is a small amount of radiation. Five diopters in a + +250 +00:21:30,790 --> 00:21:33,130 +prism, this is considered a small amount of + +251 +00:21:33,130 --> 00:21:34,770 +radiation. A small amount of radiation a person + +252 +00:21:34,770 --> 00:21:36,170 +might say, how is it a small amount of radiation? + +253 +00:21:36,310 --> 00:21:40,370 +But we need to go back very quickly to see the + +254 +00:21:40,370 --> 00:21:44,070 +number of prisms that we measure around. + +255 +00:21:44,070 --> 00:21:47,450 +ببدأ من وين؟ و بنتهيأ وين؟ + +256 +00:21:54,310 --> 00:21:56,990 +This is a group of prisms, this is the smallest + +257 +00:21:56,990 --> 00:22:00,530 +prism, 5 diopters, 5 diopters, and the largest one + +258 +00:22:00,530 --> 00:22:03,150 +is 60 prisms. Of course, there are prisms that + +259 +00:22:03,150 --> 00:22:07,290 +start from one, but the 5, here the 5 does not + +260 +00:22:07,290 --> 00:22:10,790 +exist, the 4 exists and the 6 prism exists. The 5 + +261 +00:22:10,790 --> 00:22:14,090 +is considered small compared to many prism forces + +262 +00:22:14,090 --> 00:22:18,010 +larger than it in the world of air measurement. So + +263 +00:22:18,010 --> 00:22:20,630 +5 diopters is a small amount that can be achieved + +264 +00:22:20,630 --> 00:22:26,630 +by decentration. Now I ask myself, Question, I + +265 +00:22:26,630 --> 00:22:29,290 +answered it, it was the first question. The prism + +266 +00:22:29,290 --> 00:22:32,930 +that I want to use, where is its base? Where is + +267 +00:22:32,930 --> 00:22:38,110 +its base? The base is supposed to be outside. The + +268 +00:22:38,110 --> 00:22:41,490 +base is supposed to be outside, okay. So I want a + +269 +00:22:41,490 --> 00:22:45,450 +base out prism. Okay, where do I do the + +270 +00:22:45,450 --> 00:22:48,830 +decentration? Do I do it inside or outside? We say + +271 +00:22:48,830 --> 00:22:53,610 +as follows: + +272 +00:22:53,610 --> 00:22:58,050 +العدسة ال plus 5 ديوتر مقطعها هيكون كالتالي بدنا + +273 +00:22:58,050 --> 00:23:02,730 +نشوف مقطعها هذا مقطع رأسي بالزمن في ال vertical + +274 +00:23:02,730 --> 00:23:07,310 +decentration. هذا مقطع أفقي بالزمن في ال horizontal + +275 +00:23:07,310 --> 00:23:10,290 +decentration. إيش يعني horizontal decentration يعني + +276 +00:23:10,290 --> 00:23:13,650 +بده أحصل على base out ولا base in, base out ولا + +277 +00:23:13,650 --> 00:23:21,620 +base in. نشوف كيف بدنا بدون تعبئة و بدنا. The circle + +278 +00:23:21,620 --> 00:23:24,780 +should be special like this. This is a yellow + +279 +00:23:24,780 --> 00:23:29,720 +circle. We put this prism in front of the eye. The + +280 +00:23:29,720 --> 00:23:31,460 +center is supposed to come to the top of the pupil + +281 +00:23:31,460 --> 00:23:37,080 +exactly. But if I move the center out a little bit + +282 +00:23:37,080 --> 00:23:39,460 +The pupil will come to the top of the part of the + +283 +00:23:39,460 --> 00:23:46,060 +lens that works as a prism once again. + +284 +00:23:46,060 --> 00:23:51,240 +عادة العدسة بتكون في النص, العدسة مفروض انها تكون بالنص, نفرض + +285 +00:23:51,240 --> 00:23:57,180 +هذه العدسة قوتها plus 5 ديوبتر قوتها plus 5 ديوبتر + +286 +00:23:57,180 --> 00:24:01,240 +وانا عشان.. عشان اعالج.. + +287 +00:24:04,000 --> 00:24:07,000 +The esotropia, I said I want a base or a prism + +288 +00:24:07,000 --> 00:24:09,460 +Okay, this is the center of the lens. This is the + +289 +00:24:09,460 --> 00:24:12,260 +center where I'm holding the printed or holding + +290 +00:24:12,260 --> 00:24:14,120 +the lens, the horizontal piece. This is my + +291 +00:24:14,120 --> 00:24:17,500 +horizontal piece in the lens. In the plus lens, + +292 +00:24:17,980 --> 00:24:20,920 +which is plus five, This is my horizontal piece in + +293 +00:24:20,920 --> 00:24:23,540 +it. And this is my vertical piece, not necessarily. + +294 +00:24:23,540 --> 00:24:28,200 +When I point the lens from the middle vertically + +295 +00:24:30,840 --> 00:24:34,680 +It will look like this. The red part in the middle + +296 +00:24:34,680 --> 00:24:37,640 +and the edges will be precise. When I cut the + +297 +00:24:37,640 --> 00:24:41,780 +horizontal lens. How does it mean that I cut + +298 +00:24:41,780 --> 00:24:44,720 +horizontally? It means that I cut like this. It + +299 +00:24:44,720 --> 00:24:46,620 +means that I take a rectangular piece with this + +300 +00:24:46,620 --> 00:24:49,800 +shape. Also, it should be the lowest point with + +301 +00:24:49,800 --> 00:24:53,320 +the middle point. Why did I take this view and not + +302 +00:24:53,320 --> 00:24:56,520 +the other view? Because I want horizontal + +303 +00:24:56,520 --> 00:25:00,900 +decentration to take a base out or base in. But in + +304 +00:25:00,900 --> 00:25:05,660 +this example, I want a base out prism. Okay. This + +305 +00:25:05,660 --> 00:25:10,940 +is a piece, and stop the lens, then I put the lens + +306 +00:25:10,940 --> 00:25:14,740 +exactly on top of the eye, okay? I say, if I move + +307 +00:25:14,740 --> 00:25:16,940 +the center, this is the center, I hold the lens + +308 +00:25:16,940 --> 00:25:20,480 +from the optical center of it, if I move it + +309 +00:25:20,480 --> 00:25:25,220 +inside, I will have a Bayesian effect, the pupil + +310 +00:25:25,220 --> 00:25:30,120 +of the eye will be on top of the eye, part of the + +311 +00:25:30,120 --> 00:25:34,340 +lens works as a base or in, this is not required. + +312 +00:25:35,030 --> 00:25:38,110 +This is the opposite of what is required. Now, if I shift the center + +313 +00:25:38,110 --> 00:25:42,270 +outwards, the optical center becomes outside, the eye + +314 +00:25:42,270 --> 00:25:46,570 +is looking through part of the lens whose base + +315 +00:25:46,570 --> 00:25:49,910 +is where, works as a prism. The base of it is where, out. If + +316 +00:25:49,910 --> 00:25:55,470 +it is necessary that decentration in what direction should be + +317 +00:25:55,470 --> 00:26:00,190 +this done? In out direction, out decentration. + +318 +00:26:00,190 --> 00:26:06,590 +The first answer, the first part of the answer: That I want... this is + +319 +00:26:06,590 --> 00:26:12,430 +number one in the answer, out decentration. + +320 +00:26:12,430 --> 00:26:16,090 +Decentration. So, + +321 +00:26:18,930 --> 00:26:23,450 +the first point in the answer is out-de-centration + +322 +00:26:23,450 --> 00:26:27,590 +Okay, + +323 +00:26:27,750 --> 00:26:31,090 +the second thing is how many? Millimeter, two millimeter, + +324 +00:26:31,090 --> 00:26:39,290 +three millimeter, we say: The prismatic effect is + +325 +00:26:39,290 --> 00:26:47,610 +equal + +326 +00:26:47,610 --> 00:26:54,930 +to H divided by D. H + +327 +00:26:54,930 --> 00:26:57,050 +is the distance under the light that I don't know. I + +328 +00:26:57,050 --> 00:27:03,350 +want a prismatic effect of 5 prism diopters. H is + +329 +00:27:03,350 --> 00:27:12,470 +unknown in the diopter of the lens, 5. 5 + +330 +00:27:12,470 --> 00:27:16,350 +diopters, the lens on the left has 5 diopters, and + +331 +00:27:16,350 --> 00:27:23,090 +I need 5 prism diopters. So, H is equal to 5 by 5 + +332 +00:27:23,090 --> 00:27:44,500 +which is equal to 1 centimeter. The lens + +333 +00:27:44,500 --> 00:27:57,440 +before the left eye should be decentred + +334 +00:28:01,200 --> 00:28:07,740 +outward by one centimeter, a distance of one + +335 +00:28:07,740 --> 00:28:11,380 +centimeter. This is a typical and complete answer. At that time + +336 +00:28:11,380 --> 00:28:16,610 +the rays here, it will break the lens of the prism or + +337 +00:28:16,610 --> 00:28:19,470 +the lens that will work not only as a lens, it will + +338 +00:28:19,470 --> 00:28:21,890 +work as a lens plus five diopters and at the same + +339 +00:28:21,890 --> 00:28:25,030 +time as a prism five prism diopters, so it will + +340 +00:28:25,030 --> 00:28:27,210 +happen of course here. I will not break the rays + +341 +00:28:27,210 --> 00:28:29,750 +that is, to save time, and the rays will be directed + +342 +00:28:29,750 --> 00:28:35,150 +that way and then break the lens or break the + +343 +00:28:35,150 --> 00:28:37,030 +prism towards the base, so it will come to the + +344 +00:28:37,030 --> 00:28:40,210 +fovea. So it became fovea with fovea corresponding + +345 +00:28:40,210 --> 00:28:44,650 +retinal points, or on similar areas of the network, + +346 +00:28:45,090 --> 00:28:48,670 +so this is how the job was restored or those who + +347 +00:28:48,670 --> 00:28:53,810 +now work as a team. We confirm again that the + +348 +00:28:53,810 --> 00:28:58,830 +decentration, the decentration is not, is not + +349 +00:28:58,830 --> 00:29:06,170 +to... It means the aesthetic shape of the air. When + +350 +00:29:06,170 --> 00:29:09,070 +I do lens decentration, the air will remain + +351 +00:29:09,070 --> 00:29:12,470 +visible, but professionally, the two eyes will + +352 +00:29:12,470 --> 00:29:15,490 +return to their work as a team, and they will be + +353 +00:29:15,490 --> 00:29:19,110 +directed in space as if they are moderators, + +354 +00:29:19,530 --> 00:29:21,610 +aesthetically they don't look like moderators, but + +355 +00:29:21,610 --> 00:29:25,110 +as if they are moderators completely, as if they + +356 +00:29:25,110 --> 00:29:28,390 +are moderators completely. So, this example will + +357 +00:29:28,390 --> 00:29:32,010 +follow examples in the 80s on the Moodle page + +358 +00:29:32,010 --> 00:29:35,570 +which is once for in, and once for out, once for + +359 +00:29:35,570 --> 00:29:38,830 +vertical, once for up, and once for down, until it + +360 +00:29:38,830 --> 00:29:41,990 +is trained on it and once combined or compound + +361 +00:29:41,990 --> 00:29:45,750 +decentration, out and up, or out and down, for the + +362 +00:29:45,750 --> 00:29:51,690 +center of the person. Okay, now I am the lens. It + +363 +00:29:51,690 --> 00:29:54,830 +does not have decentration, I went. I want to work + +364 +00:29:54,830 --> 00:29:59,290 +in it, decentration, we finished the example that we + +365 +00:29:59,290 --> 00:30:06,750 +made. Now, I want to make a decentration in it. This + +366 +00:30:06,750 --> 00:30:08,830 +is how I made the decentration. Where is the + +367 +00:30:08,830 --> 00:30:11,910 +center? Of course, the eye should be in the middle + +368 +00:30:11,910 --> 00:30:14,950 +of the frame, the person is looking, and wearing his + +369 +00:30:14,950 --> 00:30:16,850 +glasses from the middle of the frame. This is how + +370 +00:30:16,850 --> 00:30:22,320 +the center became decentered out and up. For example + +371 +00:30:22,320 --> 00:30:25,040 +out, for example eight millimeters, up four + +372 +00:30:25,040 --> 00:30:27,620 +millimeters, as much as we want, we do the + +373 +00:30:27,620 --> 00:30:34,010 +decentration. Okay, now these glasses. The patient + +374 +00:30:34,010 --> 00:30:36,150 +came to me, he had decentration done to him. It + +375 +00:30:36,150 --> 00:30:37,890 +was the first time I saw the patient, the first + +376 +00:30:37,890 --> 00:30:41,330 +time, and he told me that my glasses work like + +377 +00:30:41,330 --> 00:30:45,430 +glasses, and in the same way as a prism. Look at + +378 +00:30:45,430 --> 00:30:50,110 +how strong the glasses are on the lensmeter, and + +379 +00:30:50,110 --> 00:30:55,030 +look at how strong the prism is, which occurs in + +380 +00:30:55,030 --> 00:30:57,490 +these glasses, or the prismatic effect of this + +381 +00:30:57,490 --> 00:31:00,450 +glasses as a result of removing the center of it. + +382 +00:31:00,450 --> 00:31:03,750 +What do we do? Of course, we read the prismatic + +383 +00:31:03,750 --> 00:31:06,910 +force in the center of the frame. In the center of + +384 +00:31:06,910 --> 00:31:10,170 +the frame exactly. We read the prismatic force, I + +385 +00:31:10,170 --> 00:31:12,810 +don't go and look for the optical center of the + +386 +00:31:12,810 --> 00:31:16,970 +lens. No, I, and the patient, look straight ahead, I + +387 +00:31:16,970 --> 00:31:21,540 +get a marker. + +388 +00:31:21,540 --> 00:31:21,580 + + +389 +00:31:21,580 --> 00:31:28,180 +جلم لباد او شيء من هذا القبيل جلم لباد + +390 +00:31:28,180 --> 00:31:31,080 +لباد او شيء من هذا القبيل جرم لباد او شيء من هذا + +391 +00:31:31,080 --> 00:31:32,720 +القبيل جرم لباد او شيء من هذا القبيل جرم لباد او + +392 +00:31:32,720 --> 00:31:34,260 +شيء من هذا القبيل جرم لباد او شيء من هذا القبيل + +393 +00:31:34,260 --> 00:31:38,820 +جرم لباد او شيء من هذا القبيل جرم لباد او شيء من + +394 +00:31:38,820 --> 00:31:39,740 +هذا القبيل جرم لباد او شيء من هذا القبيل جرم لباد + +395 +00:31:39,740 --> 00:31:41,490 +جرم لباد او شيء من هذا القبيل جرم. In the left lens + +396 +00:31:41,490 --> 00:31:44,570 +there is a decentration, and it is required of the + +397 +00:31:44,570 --> 00:31:47,230 +specialist to determine the value of the prism + +398 +00:31:47,230 --> 00:31:50,210 +resulting from the decentration. That makes the + +399 +00:31:50,210 --> 00:31:55,210 +patient look straight ahead. Looking straight ahead + +400 +00:31:55,210 --> 00:31:58,650 +to a specific target. And it teaches about the top + +401 +00:31:58,650 --> 00:32:01,610 +of the nose exactly. That is, about the top of the + +402 +00:32:01,610 --> 00:32:04,310 +visual axis, from the area that the pupil looks at + +403 +00:32:04,310 --> 00:32:07,470 +Here it will be achieved... it will be achieved... + +404 +00:32:07,470 --> 00:32:12,540 +which is... the power of the lens and also the + +405 +00:32:12,540 --> 00:32:14,780 +power of the prism, also the power of the prism + +406 +00:32:14,780 --> 00:32:21,160 +before, of course. When we bring the lens, we teach + +407 +00:32:21,160 --> 00:32:23,820 +it to the patient's eyes, then we bring it to the + +408 +00:32:23,8 \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/0Ca8cjsIysc_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/0Ca8cjsIysc_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..49ef20eb48e6c597877404bbdc2697cd7fd9379c --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/0Ca8cjsIysc_raw.srt @@ -0,0 +1,780 @@ +1 +00:00:01,570 --> 00:00:06,430 +بسم الله الرحمن الرحيم فينا مسألة اليوم برضه على + +2 +00:00:06,430 --> 00:00:12,350 +ال virtual object And we have a body that is one + +3 +00:00:12,350 --> 00:00:15,270 +meter away from the first lens. The force of the + +4 +00:00:15,270 --> 00:00:18,110 +first lens is plus three diopters. The distance + +5 +00:00:18,110 --> 00:00:20,270 +between the first and second lens is twenty-five + +6 +00:00:20,270 --> 00:00:23,130 +centimeters. The force of the second lens is plus + +7 +00:00:23,130 --> 00:00:24,830 +one diopters. The required distance between the + +8 +00:00:24,830 --> 00:00:28,450 +final image is the total transphase magnification. + +9 +00:00:28,710 --> 00:00:31,930 +The first rule is that we deal with each lens one + +10 +00:00:31,930 --> 00:00:32,210 +by one. + +11 +00:00:35,320 --> 00:00:38,580 +We will separate the two lenses between the two + +12 +00:00:38,580 --> 00:00:46,820 +lenses To make it possible to deal with each lens + +13 +00:00:46,820 --> 00:00:52,220 +one by one And we will try to delete the second + +14 +00:00:52,220 --> 00:00:59,820 +lens Temporarily + +15 +00:00:59,820 --> 00:01:00,480 +as if + +16 +00:01:11,010 --> 00:01:20,250 +so that we can deal with each lens one by one here + +17 +00:01:20,250 --> 00:01:23,990 +I have a list of examples we solve it and then we + +18 +00:01:23,990 --> 00:01:29,730 +see how the situation is for us now I have a body + +19 +00:01:29,730 --> 00:01:32,190 +with a distance of one meter, the lens plus three + +20 +00:01:32,190 --> 00:01:40,030 +diopters so we have a lenssorry, a body 1 meter + +21 +00:01:40,030 --> 00:01:50,130 +away from the lens, let's see the first picture U + +22 +00:01:50,130 --> 00:01:56,310 +is equal to negative N divided by O and + +23 +00:01:56,310 --> 00:01:58,710 +it is equal to negative, of course, because the + +24 +00:01:58,710 --> 00:02:02,070 +rays are divergent from the real body negative 1 + +25 +00:02:02,070 --> 00:02:05,170 +divided by O is equal to 1 meter and it is equal + +26 +00:02:05,170 --> 00:02:10,370 +to negative 1 diopterminus one diopter, quickly I + +27 +00:02:10,370 --> 00:02:15,470 +go and put on the front of the lens minus one + +28 +00:02:15,470 --> 00:02:19,210 +diopter because the rays will reach the body with + +29 +00:02:19,210 --> 00:02:24,660 +a fluctuation of one diopterThe lens will emit 1 + +30 +00:02:24,660 --> 00:02:28,480 +diopter to cancel the oscillation Let's see what + +31 +00:02:28,480 --> 00:02:33,600 +will happen to the oscillation after it leaves the + +32 +00:02:33,600 --> 00:02:40,300 +lens u plus power equals v u minus one diopter + +33 +00:02:40,300 --> 00:02:50,100 +power three diopters equals v then v equals plus + +34 +00:02:50,100 --> 00:02:53,700 +two dioptersplus 2 diopter means that the rays + +35 +00:02:53,700 --> 00:02:57,240 +that will come out of the lens will be positive + +36 +00:02:57,240 --> 00:03:03,460 +virgins or collected in the amount of 2 diopter so + +37 +00:03:03,460 --> 00:03:08,100 +it will form a real image somewhere in the space + +38 +00:03:08,100 --> 00:03:12,580 +to know where it is we have to get the I we + +39 +00:03:12,580 --> 00:03:19,460 +continue here we say V is equal to unconditional + +40 +00:03:19,460 --> 00:03:20,200 +over I + +41 +00:03:23,920 --> 00:03:34,100 +So I is equal to V divided by 1 + +42 +00:03:34,100 --> 00:03:40,380 +divided by V which is plus 2 diopter which is + +43 +00:03:40,380 --> 00:03:46,820 +equal to plus half and the diopter is one meter + +44 +00:03:46,820 --> 00:03:49,980 +minus one which is one meter + +45 +00:03:56,160 --> 00:03:59,140 +plus half a meter, plus half a meter, it is + +46 +00:03:59,140 --> 00:04:01,440 +necessary to calculate the distances correctly now + +47 +00:04:01,440 --> 00:04:04,340 +I want to move away a little bit and say here + +48 +00:04:04,340 --> 00:04:07,640 +about 25 centimeters which is a quarter of a + +49 +00:04:07,640 --> 00:04:09,460 +meter, here also 25 centimeters, which means that + +50 +00:04:09,460 --> 00:04:12,120 +the picture will be formed in this place in this + +51 +00:04:12,120 --> 00:04:16,880 +place, we will go and draw this picture in the + +52 +00:04:16,880 --> 00:04:20,580 +place that we pointed out to him and we will draw + +53 +00:04:20,580 --> 00:04:23,860 +it a little bit because after a while we will say + +54 +00:04:23,860 --> 00:04:24,280 +why + +55 +00:04:40,750 --> 00:04:45,890 +so this image is 50 cm away from the lens so from + +56 +00:04:45,890 --> 00:04:49,650 +the first lens to the second lens is 50 cm before + +57 +00:04:49,650 --> 00:04:52,150 +we show the second lens and deal with it we bring + +58 +00:04:52,150 --> 00:05:01,210 +the TM1 TM1 is equal to U over V is equal to U + +59 +00:05:01,210 --> 00:05:06,810 +minus one this is greater over V plus two this is + +60 +00:05:06,810 --> 00:05:15,860 +greater and is equal toof course x minus half, x + +61 +00:05:15,860 --> 00:05:17,680 +minus half and the denominator with the + +62 +00:05:17,680 --> 00:05:22,580 +denominator they say what does x minus half mean? + +63 +00:05:22,580 --> 00:05:27,300 +it means the picture is upside down and half of + +64 +00:05:27,300 --> 00:05:30,360 +the object is upside down + +65 +00:05:35,630 --> 00:05:38,690 +means that the height is half of the height of the + +66 +00:05:38,690 --> 00:05:41,950 +object and half of the height of the object and + +67 +00:05:41,950 --> 00:05:43,850 +half of the height of the object this is how we + +68 +00:05:43,850 --> 00:05:45,630 +finish the work with the first lens, we want to + +69 +00:05:45,630 --> 00:05:51,090 +say as follows now we want to remove the tools + +70 +00:05:51,090 --> 00:05:57,390 +that we covered in them we say as follows since + +71 +00:05:57,390 --> 00:06:03,980 +the first pictureاللي هنعتبرها جسم للعدسة التانية + +72 +00:06:03,980 --> 00:06:09,040 +تبعد خمسين صانطي عن العدسة الأولى اللى كونتها يعني + +73 +00:06:09,040 --> 00:06:12,440 +مسافة من هنا لهنا خمسين صانطي والمسافة بين + +74 +00:06:12,440 --> 00:06:16,940 +العدستين خمسة وعشرين صانطي اذا المسافة بين العدسة + +75 +00:06:16,940 --> 00:06:22,720 +التانية بين العدسة التانية والجسم بتاعها اللى هى + +76 +00:06:22,720 --> 00:06:26,600 +عيمينها جاى المرة هاى اللى هى ال virtual object + +77 +00:06:27,790 --> 00:06:34,570 +also 25, 25 and 25 means 50 cm this is the first + +78 +00:06:34,570 --> 00:06:36,890 +picture which is the body number 2, the body + +79 +00:06:36,890 --> 00:06:42,070 +number 2 I will draw me in two colors + +80 +00:06:57,220 --> 00:06:59,720 +I'm going to try it out. This is itself in two + +81 +00:06:59,720 --> 00:07:02,720 +colors. Why two colors? Because I'm going to say + +82 +00:07:02,720 --> 00:07:07,080 +something else. Colors help a lot in understanding + +83 +00:07:07,080 --> 00:07:13,820 +the topic.باللونين الأصفر و الأزرق كإني بقول طالما + +84 +00:07:13,820 --> 00:07:17,080 +اللون الأزرق موجود معناته هذا صورة بتاعة العدسة + +85 +00:07:17,080 --> 00:07:22,920 +الأولى الزرقى اللى ميعطينها اللون أزرق و في نفس + +86 +00:07:22,920 --> 00:07:27,860 +الوقت جسم للعدسة الصفر جسم للعدسة الصفر طيب الآن + +87 +00:07:27,860 --> 00:07:32,080 +هذه الصورة خلينا نحكي عنها كصورة كيف اتكونت بتجمع + +88 +00:07:32,080 --> 00:07:37,120 +الأشعة يعني الأشعة رايحة تتجمع عشان اتكونهاالأشيعة + +89 +00:07:37,120 --> 00:07:42,920 +رايحة تتجمع عشان تتكونها إذا الأشيعة و هي رايحة + +90 +00:07:42,920 --> 00:07:46,740 +تتكونهاit has been collected to form the first + +91 +00:07:46,740 --> 00:07:50,260 +image of the first lens which we will consider as + +92 +00:07:50,260 --> 00:07:53,180 +the body of the second lens but before it is + +93 +00:07:53,180 --> 00:07:56,120 +formed it will collide with the second lens which + +94 +00:07:56,120 --> 00:07:58,420 +is convergent and we said that light if it + +95 +00:07:58,420 --> 00:08:01,160 +collides with any lens in front of it means that + +96 +00:08:01,160 --> 00:08:03,280 +it is coming from a virtual object because the + +97 +00:08:03,280 --> 00:08:09,660 +real object must be a divergent light from it now + +98 +00:08:09,660 --> 00:08:13,130 +let's separate the second lensor sorry the first + +99 +00:08:13,130 --> 00:08:15,890 +lens from the second lens and we start to draw + +100 +00:08:15,890 --> 00:08:21,530 +with each other with the second lens we want to + +101 +00:08:21,530 --> 00:08:27,070 +hide it to help us please use a piece of A4 paper + +102 +00:08:27,070 --> 00:08:30,150 +so that we don't get confused between the lenses + +103 +00:08:30,150 --> 00:08:33,470 +this is my body on the right this time and we want + +104 +00:08:33,470 --> 00:08:38,090 +to draw in the way that we are used to we say you + +105 +00:08:39,980 --> 00:08:45,420 +تساوي زائد انعلاوة Why plus? Because the light is + +106 +00:08:45,420 --> 00:08:49,520 +convergent ويساوي + +107 +00:08:49,520 --> 00:08:55,280 +.. ويساوي + +108 +00:08:55,280 --> 00:09:01,420 +زائد واحد او خمسة وعشرين صنطي خمسة وعشرين صنطي + +109 +00:09:01,420 --> 00:09:02,400 +يعني ربع متر + +110 +00:09:09,260 --> 00:09:16,120 +one over a quarter of a meter one over a quarter + +111 +00:09:16,120 --> 00:09:23,200 +of a meter and + +112 +00:09:23,200 --> 00:09:30,300 +it equals plus four diopters plus four diopters + +113 +00:09:30,300 --> 00:09:35,320 +quickly I put on the front of the lens plus four + +114 +00:09:35,320 --> 00:09:40,650 +diopters which means that the lightthat the light + +115 +00:09:40,650 --> 00:09:44,310 +will collide with the front of the lens which is + +116 +00:09:44,310 --> 00:09:49,210 +composed of 4 diodes plus 4 diodes + +117 +00:10:01,150 --> 00:10:05,590 +ضوق وصل للسطح الأمام من العدسة الصفراء، متجمع + +118 +00:10:05,590 --> 00:10:09,010 +بمقدار أربعة ديوبتر، و أضافت قوتها لتجمعه، فتجمع + +119 +00:10:09,010 --> 00:10:10,430 +بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و + +120 +00:10:10,430 --> 00:10:15,490 +أضافت قوتها لتجمعه، فتجمع بزيادة، و أضافت قوتها + +121 +00:10:15,490 --> 00:10:18,210 +لتجمعه، فتجمع بزيادة، و أضافت قوتها لتجمعه، فتجمع + +122 +00:10:18,210 --> 00:10:23,430 +بزيادة، و أضافت قوتها لتجمعه، فتجمع بزيادة، و + +123 +00:10:23,430 --> 00:10:28,610 +أضافت قوتها لتجمعه، فتجمع بزيادة، و أضU plus 4 + +124 +00:10:28,610 --> 00:10:37,810 +diopter plus 1 diopter is equal to V so V is equal + +125 +00:10:37,810 --> 00:10:43,590 +to plus 5 diopter plus 5 diopter quickly, on the + +126 +00:10:43,590 --> 00:10:46,490 +front surface of the lens, sorry the back surface + +127 +00:10:46,490 --> 00:10:50,430 +plus 5 diopter, it's like I'm saying that the + +128 +00:10:50,430 --> 00:10:57,910 +lightentered with 4 diopters and came out with 5 + +129 +00:10:57,910 --> 00:11:01,650 +diopters, which is more than the total because it + +130 +00:11:01,650 --> 00:11:04,850 +has been added to the power of the lens as long as + +131 +00:11:04,850 --> 00:11:07,830 +it is collected, it will form a real picture where + +132 +00:11:07,830 --> 00:11:15,750 +it happens v is equal to i is + +133 +00:11:15,750 --> 00:11:19,110 +equal to + +134 +00:11:20,720 --> 00:11:31,580 +ويساوي واحد على plus خمسة ديوبتر ويساوي plus اتنين + +135 +00:11:31,580 --> 00:11:38,160 +من عشرة متر اتنين من عشرة متر يعني عشرين سانت يعني + +136 +00:11:38,160 --> 00:11:43,100 +عشرين سانت الصورة النهائية الصورة النهائية هتكون + +137 +00:11:43,100 --> 00:11:50,830 +عشرين سانت اذا ملاحظينانا رسمتها باللون الأصفر + +138 +00:11:50,830 --> 00:11:55,970 +فقط، يعني صورة العدسة، صورة العدسة التانية، صورة + +139 +00:11:55,970 --> 00:12:01,650 +العدسة التانية هتكون على بعد عشرين سانتي من + +140 +00:12:01,650 --> 00:12:05,090 +العدسة، الجسم بتاع، بتاع العدسة التانية على بعد + +141 +00:12:05,090 --> 00:12:08,650 +خمسة وعشرين سانتي، و الصورة على بعد عشرين سانتي، + +142 +00:12:08,650 --> 00:12:11,930 +اذا الصورة أقرب من الجسم، التانين على اليمين، + +143 +00:12:11,930 --> 00:12:14,130 +التانين على اليمين، اذا الصورة على بعد + +144 +00:12:18,550 --> 00:12:22,350 +2 from 10 meters to the right, plus of course Ok, + +145 +00:12:22,450 --> 00:12:33,890 +let's get the TM2 TM2, + +146 +00:12:34,030 --> 00:12:42,370 +the magnification equals U over V equals U plus 4 + +147 +00:12:42,370 --> 00:12:50,600 +diopters and V plus 5 dioptersSo, plus four is + +148 +00:12:50,600 --> 00:12:54,340 +better than plus five, which is better and is + +149 +00:12:54,340 --> 00:13:01,500 +equal to x plus eight + +150 +00:13:01,500 --> 00:13:06,240 +out of ten. What does x plus eight out of ten + +151 +00:13:06,240 --> 00:13:10,520 +mean? The picture is regular. Regular. What does + +152 +00:13:10,520 --> 00:13:14,580 +regular mean? Like its object.إذا هو تحت ال + +153 +00:13:14,580 --> 00:13:18,560 +optical axis، هي تحت ال optical axis، إذا هو فوق + +154 +00:13:18,560 --> 00:13:22,460 +ال optical axis، معناته هي فوق ال optical axis، + +155 +00:13:22,460 --> 00:13:28,320 +فبالتالي معتدلا، انشوف هذا الكلام، هاي الصورة، هاي + +156 +00:13:28,320 --> 00:13:35,350 +الصورةlike its object, which is drawn in two + +157 +00:13:35,350 --> 00:13:38,210 +colors, which is drawn in two colors and shorter + +158 +00:13:38,210 --> 00:13:41,210 +than it or eight-tenths of it, four-fifths of its + +159 +00:13:41,210 --> 00:13:43,790 +length, if it is ten centimeters, it is eight + +160 +00:13:43,790 --> 00:13:46,310 +centimeters, eight out of ten, look at the TM + +161 +00:13:46,310 --> 00:13:46,790 +total + +162 +00:14:16,980 --> 00:14:25,080 +It is equal to Tm1 times Tm2 minus half multiplied + +163 +00:14:25,080 --> 00:14:31,080 +by plus eight tenths + +164 +00:14:31,080 --> 00:14:37,020 +It is equal to x minus minus multiplied by plus + +165 +00:14:37,020 --> 00:14:39,120 +multiplied by minus and half multiplied by eight + +166 +00:14:39,120 --> 00:14:43,320 +tenths gives me four tenths So the final + +167 +00:14:43,320 --> 00:14:54,270 +multiplicationThe final exponent is x + +168 +00:14:54,270 --> 00:14:57,230 +minus four out of ten. Why x minus four out of + +169 +00:14:57,230 --> 00:15:01,110 +ten? Because this doesn't have a need. And this + +170 +00:15:01,110 --> 00:15:04,670 +doesn't have a need. Now I have completed the + +171 +00:15:04,670 --> 00:15:06,930 +problem. This is the first picture, which is the + +172 +00:15:06,930 --> 00:15:07,130 +dimensions. + +173 +00:15:10,920 --> 00:15:12,920 +virtual object for the second lens which is the + +174 +00:15:12,920 --> 00:15:14,300 +final image + +175 +00:15:19,820 --> 00:15:22,640 +So, the final magnification, which is the last + +176 +00:15:22,640 --> 00:15:25,700 +image, is inverted for the original body, and four + +177 +00:15:25,700 --> 00:15:28,780 +tenths. So, if it is ten centimeters high, it will + +178 +00:15:28,780 --> 00:15:33,420 +be four centimeters high. Four centimeters high. + +179 +00:15:34,420 --> 00:15:40,180 +So, this issue should be clear to me. Some + +180 +00:15:40,180 --> 00:15:43,700 +questions may arise, especially in exams. For + +181 +00:15:43,700 --> 00:15:46,570 +example, the distance between the original bodyعن + +182 +00:15:46,570 --> 00:15:49,510 +الصورة النهائية The distance between the original + +183 +00:15:49,510 --> 00:15:51,690 +body and the final image. We need to calculate + +184 +00:15:51,690 --> 00:15:55,250 +meter and twenty-five centimeters. This is one + +185 +00:15:55,250 --> 00:15:57,310 +meter and twenty-five centimeters. And the + +186 +00:15:57,310 --> 00:15:59,650 +distance here is twenty centimeters. Two out of + +187 +00:15:59,650 --> 00:16:02,850 +ten meters. This twenty-five centimeters is the + +188 +00:16:02,850 --> 00:16:03,330 +distance + +189 +00:16:13,110 --> 00:16:16,390 +between the body of the second lens and the second + +190 +00:16:16,390 --> 00:16:19,530 +lens while the final image is away from the + +191 +00:16:19,530 --> 00:16:22,770 +original body the following distances one meter we + +192 +00:16:22,770 --> 00:16:25,870 +add twenty-five centimeters and we add twenty + +193 +00:16:25,870 --> 00:16:28,310 +centimeters twenty-five and twenty means forty + +194 +00:16:28,310 --> 00:16:30,270 +-five centimeters so one meter and forty-five + +195 +00:16:30,270 --> 00:16:33,810 +centimeters one meter and forty-five centimeters + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..b08fec3c2329f2fa0f103c9082de395ea045d1e6 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2BZ4a5vb3gE_raw.srt @@ -0,0 +1,1564 @@ +1 +00:00:01,550 --> 00:00:04,690 +بسم الله الرحمن الرحيم بنواصل محاضرات ال geometric + +2 +00:00:04,690 --> 00:00:09,510 +optics وحكينا المرة الماضية عن the versions of + +3 +00:00:09,510 --> 00:00:13,110 +light الحالة التشتتية للضوء وقولنا الضوء بيوجد على + +4 +00:00:13,110 --> 00:00:17,820 +تلت حالات لا رابع لها ان يكون متشتت, divergentإذا + +5 +00:00:17,820 --> 00:00:20,860 +كانوا صادر من real object، من object حقيقي زي + +6 +00:00:20,860 --> 00:00:24,620 +الشمعة، زي الشمس، زي المصباح الكهربائي، بيكون + +7 +00:00:24,620 --> 00:00:27,660 +متشتت في جميع الإتجاهات، و ساعتها بيقول ال + +8 +00:00:27,660 --> 00:00:30,900 +versions negative، ال versions تعطيه negative، + +9 +00:00:30,900 --> 00:00:34,450 +الحالة التشتتية تعطيه negative أو divergentor to + +10 +00:00:34,450 --> 00:00:37,510 +come from a place very far away and say about it + +11 +00:00:37,510 --> 00:00:42,050 +or to be parallel to each other, parallel light, + +12 +00:00:42,190 --> 00:00:43,830 +we say its divergence is zero, it is neither + +13 +00:00:43,830 --> 00:00:47,510 +negative nor positive or to be out of a lens going + +14 +00:00:47,510 --> 00:00:50,010 +to form the image, that is, it gathers to form the + +15 +00:00:50,010 --> 00:00:52,690 +imageو ساعتها ال .. ال .. ال .. ال versions بتاع + +16 +00:00:52,690 --> 00:00:56,710 +ال light بيكون positive أو convergent light وقولنا + +17 +00:00:56,710 --> 00:00:59,790 +ال versions بتوربطوا علاقة مع المسافة ال versions + +18 +00:00:59,790 --> 00:01:03,810 +بتاع ال light الحالة التشتتية للضوء بتختلف اختلاف + +19 +00:01:03,810 --> 00:01:07,230 +مسافة اللي .. اللي قطعها الضوء وقولنا ال .. ال + +20 +00:01:07,230 --> 00:01:10,830 +versions حقيقة هو عبارة لما يحسب و يساوي ال + +21 +00:01:10,830 --> 00:01:14,150 +reciprocal of the distance of the distance يعني + +22 +00:01:14,150 --> 00:01:18,130 +لما نقول احسب ال versions بتاع ال light احسب ال + +23 +00:01:18,130 --> 00:01:22,460 +versions بتاع ال lightWe say that the vergence of + +24 +00:01:22,460 --> 00:01:28,960 +the light is equal to one over the distance, one + +25 +00:01:28,960 --> 00:01:31,460 +over the distance For example, the light emitted + +26 +00:01:31,460 --> 00:01:36,040 +from an object a certain distance This distance, + +27 +00:01:37,680 --> 00:01:40,600 +to calculate the vergence of the light, vergence + +28 +00:01:42,520 --> 00:01:48,080 +يساوي واحد على ال distance، ال distance اللي قطعها + +29 +00:01:48,080 --> 00:01:52,060 +ال ضُق، واحد على ال distance، يعني لما بنجيب مثلا + +30 +00:01:52,060 --> 00:01:57,810 +صورة، بنقول الضُقIt started from object point, cut + +31 +00:01:57,810 --> 00:02:00,550 +a distance, for example, at this point, at this + +32 +00:02:00,550 --> 00:02:05,130 +limit that I'm pointing at, we say, cut a distance + +33 +00:02:05,130 --> 00:02:08,710 +of two meters, which means one over two meters, + +34 +00:02:08,830 --> 00:02:14,450 +one over two meters is equal to half a meter minus + +35 +00:02:14,450 --> 00:02:18,810 +one If we add up, we have to calculate the + +36 +00:02:18,810 --> 00:02:27,650 +versions of lightOn a distance of 2 meters, we say + +37 +00:02:27,650 --> 00:02:31,430 +1 First, we put a minus sign because this is a + +38 +00:02:31,430 --> 00:02:34,650 +divergent light A divergent light takes a minus + +39 +00:02:34,650 --> 00:02:41,710 +sign We say 1 on a distance of 2 meters I get the + +40 +00:02:41,710 --> 00:02:47,230 +result half minus half meter + +41 +00:02:47,230 --> 00:02:48,970 +plus minus one + +42 +00:02:56,360 --> 00:02:57,620 +I'll get minus one + +43 +00:03:14,240 --> 00:03:19,040 +Okay, so minus half meter minus one. If the + +44 +00:03:19,040 --> 00:03:21,920 +distance was four meters, we say minus one over + +45 +00:03:21,920 --> 00:03:26,260 +four meters minus one. Okay, if I have the other + +46 +00:03:26,260 --> 00:03:29,500 +side of the lens, the light is collected, for + +47 +00:03:29,500 --> 00:03:32,140 +example, I have the light collected and it will + +48 +00:03:32,140 --> 00:03:33,020 +form the image + +49 +00:03:43,540 --> 00:03:47,880 +it's going to create the image as the drawing will + +50 +00:03:47,880 --> 00:03:51,800 +show now + +51 +00:03:51,800 --> 00:03:58,000 +and + +52 +00:03:58,000 --> 00:04:04,080 +at this line or at this distance in spacedial of + +53 +00:04:04,080 --> 00:04:07,180 +light ..dial of light .. to get it to converge .. + +54 +00:04:07,180 --> 00:04:10,580 +it is converging .. convergent light ..dial of + +55 +00:04:10,580 --> 00:04:12,100 +light is half a meter .. so the distance from here + +56 +00:04:12,100 --> 00:04:14,080 +to the image is half a meter .. how much the + +57 +00:04:14,080 --> 00:04:18,120 +divergence of light at this point .. we will say + +58 +00:04:18,120 --> 00:04:24,800 +as the following .. divergence of distance is + +59 +00:04:24,800 --> 00:04:30,370 +equal to one over the distanceNow we calculate the + +60 +00:04:30,370 --> 00:04:32,010 +distance not from the object but from the image + +61 +00:04:32,010 --> 00:04:34,670 +because now we are on the other side and we are + +62 +00:04:34,670 --> 00:04:37,310 +working with the image and it is equal to one of + +63 +00:04:37,310 --> 00:04:39,350 +course plus why plus because the light is + +64 +00:04:39,350 --> 00:04:42,930 +convergent if it is on the side of the object and + +65 +00:04:42,930 --> 00:04:45,410 +the light is divergent we give it a minus sign if + +66 +00:04:45,410 --> 00:04:49,090 +it is convergent we give it a plus sign half a + +67 +00:04:49,090 --> 00:04:50,650 +meter is left this distance is half a meter and it + +68 +00:04:50,650 --> 00:04:55,790 +forms the image so one plus one over half a meter + +69 +00:05:00,710 --> 00:05:09,850 +and it's equal to two meters minus one meters + +70 +00:05:09,850 --> 00:05:18,290 +minus one meters minus + +71 +00:05:18,290 --> 00:05:20,210 +one meters minus one meters minus one meters minus + +72 +00:05:20,210 --> 00:05:20,270 +one meters minus one meters minus one meters minus + +73 +00:05:20,270 --> 00:05:20,270 +one meters minus one meters minus one meters minus + +74 +00:05:20,270 --> 00:05:21,790 +one meters minus one meters minus one meters minus + +75 +00:05:21,790 --> 00:05:21,990 +one meters minus one meters minus one meters minus + +76 +00:05:21,990 --> 00:05:22,810 +one meters minus one meters minus one meters minus + +77 +00:05:22,810 --> 00:05:23,910 +one meters minus one meters minus one meters minus + +78 +00:05:23,910 --> 00:05:27,990 +one meters minus one meters minus one meters minus + +79 +00:05:27,990 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +80 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +81 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +82 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +83 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +84 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +85 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +86 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +87 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +88 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +89 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +90 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +91 +00:05:29,930 --> 00:05:29,930 +one meters minus one meters minus one meters minus + +92 +00:05:29,930 --> 00:05:29,970 +one meters minus one meters minus one meters minus + +93 +00:05:29,970 --> 00:05:30,150 +one meters minus one meters minus one meters minus + +94 +00:05:30,150 --> 00:05:32,390 +one meters minusAnd it's convergent, I give it a + +95 +00:05:32,390 --> 00:05:34,990 +plus sign Of course, when it's away from the + +96 +00:05:34,990 --> 00:05:36,970 +object and it's scattered, I have to calculate the + +97 +00:05:36,970 --> 00:05:39,570 +distance from the object to the point I want to + +98 +00:05:39,570 --> 00:05:43,570 +calculate Okay, now for example I have a third + +99 +00:05:43,570 --> 00:05:46,850 +example With the same drawing, we say the light + +100 +00:05:46,850 --> 00:05:55,090 +came out of the object The object is three meters + +101 +00:05:55,090 --> 00:05:55,990 +away from + +102 +00:05:59,450 --> 00:06:01,210 +or let's say without using a triangle, let's say + +103 +00:06:01,210 --> 00:06:06,350 +twenty centimeters let's say the distance is + +104 +00:06:06,350 --> 00:06:10,270 +twenty centimeters that is, from the object to the + +105 +00:06:10,270 --> 00:06:12,790 +lens is twenty centimeters we want to calculate + +106 +00:06:12,790 --> 00:06:16,510 +the vergence what is the vergence of light at the + +107 +00:06:16,510 --> 00:06:18,490 +surface of the lens at the surface of the lens, we + +108 +00:06:18,490 --> 00:06:22,990 +say as follows the + +109 +00:06:22,990 --> 00:06:25,830 +vergence equals + +110 +00:06:27,530 --> 00:06:31,810 +one over the distance, the object distance over + +111 +00:06:31,810 --> 00:06:35,530 +the distance or + +112 +00:06:35,530 --> 00:06:39,770 +between two objects I can say over O, why O? No, + +113 +00:06:40,170 --> 00:06:44,480 +why O? Becauseالمسافة اللى بدنا نحسب عندها هذه + +114 +00:06:44,480 --> 00:06:48,160 +المسافة هي ال object ال object point وهى سطح + +115 +00:06:48,160 --> 00:06:51,960 +العدسة بدنا نحسب ال divergence بتاع الدوء لما وصل + +116 +00:06:51,960 --> 00:06:55,220 +لسطح العدسة يعنى جاطع من مسافة ال object ال object + +117 +00:06:55,220 --> 00:07:01,540 +distance يعني واحد على اول ويساويone over of + +118 +00:07:01,540 --> 00:07:04,480 +course here must must not forget the sign because + +119 +00:07:04,480 --> 00:07:08,160 +it is a divergent line must put minus and minus + +120 +00:07:08,160 --> 00:07:11,240 +one because it is divergent of course over the + +121 +00:07:11,240 --> 00:07:13,680 +distance twenty centimeters must turn into a meter + +122 +00:07:13,680 --> 00:07:20,500 +two out of ten meters and is equal to one over two + +123 +00:07:20,500 --> 00:07:26,100 +out of ten and is equal to minus five meters minus + +124 +00:07:26,100 --> 00:07:27,560 +one meters minus + +125 +00:07:36,160 --> 00:07:40,360 +meteros minus one Okay, so I can calculate the + +126 +00:07:40,360 --> 00:07:43,420 +vergence of the light at any point away from the + +127 +00:07:43,420 --> 00:07:47,400 +object I calculate one away from the object Even + +128 +00:07:47,400 --> 00:07:49,420 +if we reach the surface of the mirror And I can + +129 +00:07:49,420 --> 00:07:52,680 +calculate the vergence of the light that is going + +130 +00:07:52,680 --> 00:07:55,980 +to form the image at any distance Of course, I + +131 +00:07:55,980 --> 00:07:57,860 +calculate the distance of this distance from the + +132 +00:07:57,860 --> 00:08:01,520 +image I can calculate at this distance + +133 +00:08:06,110 --> 00:08:10,670 +or the distance is high or at the distance is high + +134 +00:08:10,670 --> 00:08:13,950 +So how do I calculate the inverse of the distance, + +135 +00:08:14,070 --> 00:08:17,510 +one over the distance? So the complex case of + +136 +00:08:17,510 --> 00:08:19,890 +light, whether negative or positive, that is, + +137 +00:08:19,990 --> 00:08:24,470 +whether divergent or convergent is calculated by + +138 +00:08:24,470 --> 00:08:27,710 +the heart of the distance away from the object or + +139 +00:08:27,710 --> 00:08:30,950 +the heart of the distance away from the image Now + +140 +00:08:30,950 --> 00:08:31,330 +the scientists + +141 +00:08:34,880 --> 00:08:39,600 +It's a matter of meter squared minus one, it's a + +142 +00:08:39,600 --> 00:08:43,360 +long word, meter squared minus one is a long word, + +143 +00:08:43,960 --> 00:08:45,880 +so they got to know that the meter squared minus + +144 +00:08:45,880 --> 00:08:48,760 +one, we want to call it the diopter, so here I + +145 +00:08:48,760 --> 00:08:51,700 +have minus half meter squared minus one, which + +146 +00:08:51,700 --> 00:08:58,480 +means minus half diopter + +147 +00:09:02,750 --> 00:09:10,870 +here 2 meters minus 1 which is plus 2 + +148 +00:09:10,870 --> 00:09:17,450 +diopters which is equal to plus 2 diopters which + +149 +00:09:17,450 --> 00:09:23,730 +is equal to minus 5 meters minus 1 which is equal + +150 +00:09:23,730 --> 00:09:29,890 +to minus 5 diopters a person might wonder how the + +151 +00:09:29,890 --> 00:09:33,040 +power of the lens can measure the dioptersand the + +152 +00:09:33,040 --> 00:09:35,280 +fluctuating state of the light is measured by the + +153 +00:09:35,280 --> 00:09:37,440 +diode. On the contrary, this is very logical + +154 +00:09:37,440 --> 00:09:40,480 +because the lens's function is to change the + +155 +00:09:40,480 --> 00:09:43,560 +fluctuating state of the light. If we look at this + +156 +00:09:43,560 --> 00:09:46,420 +scene, the light before entering the lens was + +157 +00:09:46,420 --> 00:09:49,060 +fluctuating, when it came out of the lens it was + +158 +00:09:49,060 --> 00:09:51,960 +collected. In other words, the divergence of the + +159 +00:09:51,960 --> 00:09:55,820 +light was negative, it became after it came out of + +160 +00:09:55,820 --> 00:09:57,920 +the lens, it is the same light that entered the + +161 +00:09:57,920 --> 00:10:00,640 +lens that came out of the lens. + +162 +00:10:05,260 --> 00:10:09,720 +So, the lens is nothing but a tool .. a tool to + +163 +00:10:09,720 --> 00:10:13,780 +change the fluctuating state of light If the light + +164 +00:10:13,780 --> 00:10:16,620 +was divergent, that is, negative divergence, it + +165 +00:10:16,620 --> 00:10:19,180 +became convergent, that is, positive divergence It + +166 +00:10:19,180 --> 00:10:22,300 +can sometimes be negative, of course, as long as + +167 +00:10:22,300 --> 00:10:24,560 +it comes from a real object, it must be negative, + +168 +00:10:24,700 --> 00:10:28,680 +okay? That is, divergent, and make it parallel In + +169 +00:10:28,680 --> 00:10:33,210 +other words, the fluctuating state ..it changes + +170 +00:10:33,210 --> 00:10:35,030 +with the power of the lens, which means that the + +171 +00:10:35,030 --> 00:10:37,690 +lens is responsible for changing the fluctuating + +172 +00:10:37,690 --> 00:10:40,650 +state of light, so it is natural that the + +173 +00:10:40,650 --> 00:10:44,170 +fluctuating state is measured with the diopter and + +174 +00:10:44,170 --> 00:10:47,170 +the force that affects it is measured with the + +175 +00:10:47,170 --> 00:10:53,110 +diopter if we imagine for example that + +176 +00:10:53,110 --> 00:10:56,230 +the + +177 +00:10:56,230 --> 00:10:59,990 +fluctuating light is a coin, for example, a + +178 +00:10:59,990 --> 00:11:06,130 +thousand dollar coinوفي شيء مثلا له قيمة مثلا قطعة + +179 +00:11:06,130 --> 00:11:13,670 +ذهبية بالها تستخدم في سداد هذا الدينWe say that a + +180 +00:11:13,670 --> 00:11:16,950 +piece of gold is valued in dollars. I can value it + +181 +00:11:16,950 --> 00:11:19,730 +in dollars because a piece of gold is equal to + +182 +00:11:19,730 --> 00:11:24,450 +1500 dollars. So 1000 out of 1500 will pay off the + +183 +00:11:24,450 --> 00:11:29,270 +debt and 500 will remain to benefit from it in + +184 +00:11:29,270 --> 00:11:31,730 +buying something else. This is an example of + +185 +00:11:31,730 --> 00:11:33,730 +simplifying the situation. The conflicting + +186 +00:11:33,730 --> 00:11:37,950 +situation was divergent. The things that made this + +187 +00:11:37,950 --> 00:11:41,920 +tool that we call optical system or lensIt is the + +188 +00:11:41,920 --> 00:11:44,280 +combination of two things that changed the state + +189 +00:11:44,280 --> 00:11:46,740 +of light from fluctuating to accumulating, so it + +190 +00:11:46,740 --> 00:11:49,220 +is natural that its force is measured in the + +191 +00:11:49,220 --> 00:11:52,620 +diopter and it is evaluated in the diopter as we + +192 +00:11:52,620 --> 00:11:55,540 +evaluated the golden piece in the dollar, the + +193 +00:11:55,540 --> 00:11:57,240 +force of the lens is evaluated in the diopter + +194 +00:11:57,240 --> 00:12:00,480 +because the fluctuating state of light is measured + +195 +00:12:00,480 --> 00:12:05,500 +in the diopter or in the meter minus oneThis is + +196 +00:12:05,500 --> 00:12:08,860 +for the subject of vergence, that vergence is the + +197 +00:12:08,860 --> 00:12:11,660 +inverse of distance The distances that are used in + +198 +00:12:11,660 --> 00:12:13,600 +the science of geometric optics You can find the + +199 +00:12:13,600 --> 00:12:16,320 +object at a distance of 4 meters, 2 meters, 1 + +200 +00:12:16,320 --> 00:12:18,820 +meter, half a meter, third meter, quarter meter, + +201 +00:12:19,600 --> 00:12:22,400 +five meters Of course, when you calculate the + +202 +00:12:22,400 --> 00:12:25,460 +vergence of light at these distances I want to + +203 +00:12:25,460 --> 00:12:27,960 +invert these distances The four meters becomes a + +204 +00:12:27,960 --> 00:12:30,780 +quarter meter minus one The two meters are + +205 +00:12:30,780 --> 00:12:33,260 +inverted one by two, that is, half a meter minus + +206 +00:12:33,260 --> 00:12:37,350 +oneone meter is reversed and one meter is minus + +207 +00:12:37,350 --> 00:12:41,210 +one and so on and so forth So this means that the + +208 +00:12:41,210 --> 00:12:43,230 +divergence is the inverse of the distance and also + +209 +00:12:43,230 --> 00:12:45,750 +the distance is the inverse of the divergence When + +210 +00:12:45,750 --> 00:12:48,270 +we say divergence equals one over the distance, + +211 +00:12:48,830 --> 00:12:55,130 +also the distance equals + +212 +00:12:55,130 --> 00:13:01,320 +one over the divergencethis will help me that + +213 +00:13:01,320 --> 00:13:04,040 +distance is equal to one over divergence we say as + +214 +00:13:04,040 --> 00:13:09,500 +follows if I have an example a practical example + +215 +00:13:09,500 --> 00:13:16,340 +we say we + +216 +00:13:16,340 --> 00:13:19,080 +want to know where is the object located this is + +217 +00:13:19,080 --> 00:13:27,140 +my optical system and this is my point + +218 +00:13:27,140 --> 00:13:34,380 +source or objectThe light has not yet reached the + +219 +00:13:34,380 --> 00:13:41,140 +surface of the lens, but we chose a point from the + +220 +00:13:41,140 --> 00:13:48,240 +gap The + +221 +00:13:48,240 --> 00:13:50,520 +light is scattered in all directions, including + +222 +00:13:50,520 --> 00:13:56,400 +the rays that + +223 +00:13:56,400 --> 00:14:01,250 +will enter the lenswe say at the point from the + +224 +00:14:01,250 --> 00:14:05,230 +space that I will point to at this point at this + +225 +00:14:05,230 --> 00:14:09,830 +point the vergence was equal to the vergence was + +226 +00:14:09,830 --> 00:14:17,070 +equal to minus + +227 +00:14:17,070 --> 00:14:27,340 +four diopters four diopterswe want to know how far + +228 +00:14:27,340 --> 00:14:30,660 +the object is from this distance in space from + +229 +00:14:30,660 --> 00:14:34,600 +this point, from this line of space how far the + +230 +00:14:34,600 --> 00:14:41,800 +object is, we say as follows as the divergence of + +231 +00:14:41,800 --> 00:14:46,480 +the distance the distance of the object away from + +232 +00:14:46,480 --> 00:14:48,780 +this line is equal to the inverse of the + +233 +00:14:48,780 --> 00:14:55,260 +divergence one over the divergence and equalsone + +234 +00:14:55,260 --> 00:15:01,880 +over minus four, the diopter I will return to + +235 +00:15:01,880 --> 00:15:11,240 +meter minus one meter minus one meter minus one + +236 +00:15:28,560 --> 00:15:38,740 +Okay, and it equals 1 + +237 +00:15:38,740 --> 00:15:49,180 +over minus 4 equals Now we enlarge it again + +238 +00:15:49,180 --> 00:15:54,040 +equals + +239 +00:15:58,640 --> 00:16:03,720 +minus quarter meter + +240 +00:16:03,720 --> 00:16:06,960 +and one meter minus one when you go up it becomes + +241 +00:16:06,960 --> 00:16:11,380 +minus quarter meter here minus means + +242 +00:16:12,500 --> 00:16:14,440 +the distance to the left because I want to + +243 +00:16:14,440 --> 00:16:16,320 +calculate the distance I want the distance as long + +244 +00:16:16,320 --> 00:16:18,580 +as the distance turned out to be minus then the + +245 +00:16:18,580 --> 00:16:21,600 +distance of the object to the left of the line + +246 +00:16:21,600 --> 00:16:24,540 +that I put in the space is a quarter of a meter + +247 +00:16:24,540 --> 00:16:27,920 +while this minus is minus four diopters or minus + +248 +00:16:27,920 --> 00:16:30,520 +four times minus one this is because of the + +249 +00:16:30,520 --> 00:16:32,860 +fluctuating state of light I'm talking about + +250 +00:16:32,860 --> 00:16:35,160 +virgins, virgins is the fluctuating state of + +251 +00:16:35,160 --> 00:16:36,920 +light, light is fluctuating so I give it a minus + +252 +00:16:36,920 --> 00:16:41,200 +signفإذا إذا عرفت المسافة بقدر أعرف ال versions + +253 +00:16:41,200 --> 00:16:43,840 +بتاع ال light و إذا عرفت ال versions بقدر أعرف + +254 +00:16:43,840 --> 00:16:49,600 +المسافة بتاعة ال object أو حتى المسافة بتاعة ال + +255 +00:16:49,600 --> 00:16:54,020 +image فبالتالي for convenience عشان يكون الأمر + +256 +00:16:54,020 --> 00:16:57,840 +أسهل في التعبير بدل ما نضل نقول متر قص ناقص واحد + +257 +00:16:57,840 --> 00:17:01,870 +يعني نلفظ الأربع كلماتالعلماء اتفقوا انه كلمة + +258 +00:17:01,870 --> 00:17:06,230 +meter قص ناقص واحد بدهم يعطوها كلمة او يسموها باسم + +259 +00:17:06,230 --> 00:17:11,810 +diopter ويرمزولها بالرمز D As light travels away + +260 +00:17:11,810 --> 00:17:16,630 +from an object point or toward an image point, its + +261 +00:17:16,630 --> 00:17:21,410 +divergence constantly changes كل ما سافر بعيدا عن + +262 +00:17:21,410 --> 00:17:26,680 +ال objectOr towards the image, the vergence of the + +263 +00:17:26,680 --> 00:17:29,880 +image changes, why? Because the distance changes + +264 +00:17:29,880 --> 00:17:33,580 +and as long as the vergence and the distance have + +265 +00:17:33,580 --> 00:17:35,980 +a relation, then it is true that it is opposite, + +266 +00:17:36,120 --> 00:17:39,980 +but if one changes, the other will change, if one + +267 +00:17:39,980 --> 00:17:42,680 +changes, because if the distance changes, the + +268 +00:17:42,680 --> 00:17:46,020 +vergence of light must change Let's come here to + +269 +00:17:46,020 --> 00:17:47,440 +an example, we say as follows + +270 +00:17:52,420 --> 00:17:55,780 +On a distance of 10 cm, divergence is minus 10 + +271 +00:17:55,780 --> 00:17:59,640 +diopters 10 cm is 1 out of 10 meters, if you + +272 +00:17:59,640 --> 00:18:02,500 +invert it, if you invert this distance which is 1 + +273 +00:18:02,500 --> 00:18:05,040 +out of 10 meters, 1 out of 1 out of 10 meters, you + +274 +00:18:05,040 --> 00:18:08,020 +get 10 diopters Why did we put minus? Because the + +275 +00:18:08,020 --> 00:18:10,720 +light is divergent, divergent, okay? Divergent + +276 +00:18:10,720 --> 00:18:14,500 +Okay, on a distance of, for example, a quarter of + +277 +00:18:14,500 --> 00:18:18,210 +a meterone over a quarter equals four, this is a + +278 +00:18:18,210 --> 00:18:20,370 +diopter, why do we put a minus on it? Because the + +279 +00:18:20,370 --> 00:18:22,430 +light is distorted and so on and so forth, + +280 +00:18:22,630 --> 00:18:27,910 +therefore, the more the distance that the light + +281 +00:18:27,910 --> 00:18:30,190 +travels away from the object, the more the + +282 +00:18:30,190 --> 00:18:34,610 +divergence of it changesAnd also this speech also + +283 +00:18:34,610 --> 00:18:38,930 +towards the image, the same thing, whenever the + +284 +00:18:38,930 --> 00:18:41,790 +distance changes towards the image, near or far, + +285 +00:18:42,010 --> 00:18:43,910 +the vergence changes, because the vergence and the + +286 +00:18:43,910 --> 00:18:47,390 +distance have a relation, it's a reverse relation, + +287 +00:18:47,510 --> 00:18:51,090 +but if one changes, the other will changeTo + +288 +00:18:51,090 --> 00:18:53,870 +calculate the divergence of light at any point, + +289 +00:18:54,010 --> 00:18:56,910 +one must know the location of the object or image + +290 +00:18:56,910 --> 00:18:57,250 +point + +291 +00:19:07,600 --> 00:19:10,220 +Conversely, if one knows the divergence at + +292 +00:19:10,220 --> 00:19:12,960 +selected point, the position of the object or + +293 +00:19:12,960 --> 00:19:16,260 +image point can be determined. As we said before + +294 +00:19:16,260 --> 00:19:20,160 +in the example, the divergence at this point is + +295 +00:19:20,160 --> 00:19:22,720 +minus four diopters. Where is the object? We + +296 +00:19:22,720 --> 00:19:25,570 +calculated that it is minus four diopters.Whether + +297 +00:19:25,570 --> 00:19:27,410 +we know the vergence, we can determine the + +298 +00:19:27,410 --> 00:19:30,990 +distance, or we know the distance, we can show the + +299 +00:19:30,990 --> 00:19:34,590 +vergence, that is, we can point to one another, to + +300 +00:19:34,590 --> 00:19:37,930 +one another Now there is a term other than the + +301 +00:19:37,930 --> 00:19:40,310 +vergence, it is called reduced vergence, the + +302 +00:19:40,310 --> 00:19:43,810 +shortened vergence or shortened Of course, a + +303 +00:19:43,810 --> 00:19:46,630 +person may at first think that the shortened + +304 +00:19:46,630 --> 00:19:52,930 +vergence isDigitally, it is less than the normal + +305 +00:19:52,930 --> 00:19:57,110 +vergence So, reduced vergence is less than the + +306 +00:19:57,110 --> 00:20:01,610 +normal vergence Of course, this is not correct, it + +307 +00:20:01,610 --> 00:20:03,710 +is the opposite of what is correct We say reduced + +308 +00:20:03,710 --> 00:20:07,510 +vergence is vergence multiplied by refractive + +309 +00:20:07,510 --> 00:20:11,530 +index of the medium Okay, let's say this is a new + +310 +00:20:11,530 --> 00:20:15,870 +chip We + +311 +00:20:15,870 --> 00:20:19,030 +say reduced vergence, the abbreviated vergence + +312 +00:20:21,900 --> 00:20:24,880 +is equal to the normal vergence, which is the + +313 +00:20:24,880 --> 00:20:27,720 +fluctuating state of light, multiplied by the + +314 +00:20:27,720 --> 00:20:31,520 +refractive index of the medium in which the light + +315 +00:20:31,520 --> 00:20:34,540 +occurs. In other words, if the light I have + +316 +00:20:34,540 --> 00:20:43,560 +happens in water, the reduced vergence is equal + +317 +00:20:43,560 --> 00:20:48,580 +to the vergence, of course for water, multiplied + +318 +00:20:48,580 --> 00:20:52,050 +byrefractive index of science is equal to 1.3 out + +319 +00:20:52,050 --> 00:20:55,630 +of 10 if you multiply any value by 1.3 out of 10, + +320 +00:20:55,770 --> 00:20:57,730 +the value of the result will be greater than the + +321 +00:20:57,730 --> 00:21:02,990 +basic value to explain this issue, we need to say + +322 +00:21:02,990 --> 00:21:09,210 +as follows here we have an example we draw a + +323 +00:21:09,210 --> 00:21:10,370 +single refracting surface + +324 +00:21:22,600 --> 00:21:34,020 +this light is going to + +325 +00:21:34,020 --> 00:21:44,380 +go this is + +326 +00:21:44,380 --> 00:21:47,500 +my single refracting service and this is my rays + +327 +00:21:47,500 --> 00:21:50,840 +going to form rays + +328 +00:21:57,890 --> 00:22:00,050 +It came from an object and it's going to form an + +329 +00:22:00,050 --> 00:22:04,070 +image And + +330 +00:22:04,070 --> 00:22:15,710 +it's going to form an image Now + +331 +00:22:15,710 --> 00:22:18,010 +we want to calculate the divergence of light at + +332 +00:22:18,010 --> 00:22:18,750 +this distance + +333 +00:22:25,290 --> 00:22:30,630 +this distance is one meter away from the edge this + +334 +00:22:30,630 --> 00:22:38,610 +distance is one meter away from the edge from + +335 +00:22:38,610 --> 00:22:41,850 +here, the light is still accumulating it will + +336 +00:22:41,850 --> 00:22:45,530 +eventually form an edge inside the glass how much + +337 +00:22:45,530 --> 00:22:48,190 +is the divergence? divergence is the inverse of + +338 +00:22:48,190 --> 00:22:50,330 +the distance divergence + +339 +00:23:01,580 --> 00:23:13,200 +I want to + +340 +00:23:13,200 --> 00:23:14,660 +calculate the reduced versions + +341 +00:23:21,160 --> 00:23:24,280 +is equal to the vergence itself which is plus one + +342 +00:23:24,280 --> 00:23:29,520 +diopter which we saw a while ago in this upper + +343 +00:23:29,520 --> 00:23:32,740 +line multiplied by the refractive index of the + +344 +00:23:32,740 --> 00:23:36,740 +glass which is one and a half for example is equal + +345 +00:23:36,740 --> 00:23:43,870 +to plus one and a halfDiode, from this example it + +346 +00:23:43,870 --> 00:23:47,410 +becomes very clear that the reduced vergence, its + +347 +00:23:47,410 --> 00:23:49,570 +name is vergence, its value is supposed to be + +348 +00:23:49,570 --> 00:23:51,490 +less, but it is clear that its value is higher + +349 +00:23:51,490 --> 00:23:55,530 +than the vergence itself Okay, now we need to know + +350 +00:23:55,530 --> 00:23:59,870 +exactly that the reduced vergencereduced versions + +351 +00:23:59,870 --> 00:24:03,070 +دائما و أبدا بيكون أعلى من ال versions معادة في + +352 +00:24:03,070 --> 00:24:06,930 +حالة واحدة إذا الضوء يسري في الفراغ، لو حسبتله ال + +353 +00:24:06,930 --> 00:24:10,590 +versions، هيطلعله قيمة، لو حسبتله ال reduced + +354 +00:24:10,590 --> 00:24:13,590 +versions، هتطلع نفس القيمة، ليش؟ لأنه الآن تعطي + +355 +00:24:13,590 --> 00:24:17,450 +الفراغ واحد، فلما نضرب أي قيمة في واحد، بتضلها زي + +356 +00:24:17,450 --> 00:24:20,810 +ما هيBut in the rest of the things, in water, in + +357 +00:24:20,810 --> 00:24:25,130 +glass, in any optical medium, the reduced vergence + +358 +00:24:25,130 --> 00:24:27,990 +will have a numerical value higher than the + +359 +00:24:27,990 --> 00:24:32,210 +vergence, so why? Because it is always higher than + +360 +00:24:32,210 --> 00:24:36,310 +one which is in space Okay, why do scientists call + +361 +00:24:36,310 --> 00:24:39,660 +it reduced vergence? Actually the name is wrongو + +362 +00:24:39,660 --> 00:24:44,680 +لكن الاسم متجذر تاريخيا لدرجة ان العلماء تركوه زي + +363 +00:24:44,680 --> 00:24:50,500 +ما هو و يعني هو متعارف عليه من زمان قديم و متجذر + +364 +00:24:50,500 --> 00:24:55,870 +تاريخيا لدرجة انه صعب تغيره، صعب تغيره، اذاreduced + +365 +00:24:55,870 --> 00:24:59,330 +vergence is vergence multiplied مضروبا في + +366 +00:24:59,330 --> 00:25:02,670 +refractive index of the median. This term is + +367 +00:25:02,670 --> 00:25:06,010 +confusing هذا المصطلح reduced vergence ال vergence + +368 +00:25:06,010 --> 00:25:10,750 +المختصر او المختزل بخربط ليش لأنه reduced vergence + +369 +00:25:10,750 --> 00:25:14,480 +رقميا اعلى من ال vergence نفسهاحنا في الطبيعة لما + +370 +00:25:14,480 --> 00:25:18,980 +نقول إشي مختزل أو مختصر نقول ملخص أو مختزل يعني + +371 +00:25:18,980 --> 00:25:22,680 +واحد اختزل كتاب 500 صفحة لما بنسمع كلمة اختزل + +372 +00:25:22,680 --> 00:25:26,540 +معناته عدد الصفحات قل بس هنا في هذه القضية ال + +373 +00:25:26,540 --> 00:25:30,340 +reduced versions دائما أكبر من ال virgins هنا ضريب + +374 +00:25:30,340 --> 00:25:36,480 +لمثال أنه لما بيكون في أشعة متجمعة و رايحة على بعد + +375 +00:25:36,480 --> 00:25:40,850 +مترmeter from the image, the reduced vergence will + +376 +00:25:40,850 --> 00:25:43,550 +be plus one diopter and the reduced vergence will + +377 +00:25:43,550 --> 00:25:45,950 +be one and a half diopters as we explained in the + +378 +00:25:45,950 --> 00:25:49,330 +drawing and calculated it very clearly so + +379 +00:25:49,330 --> 00:25:53,230 +confusing or not, whether you get confused or not, + +380 +00:25:53,570 --> 00:25:58,530 +the term reduced vergence is + +381 +00:25:58,530 --> 00:26:01,290 +too well-intentioned to be changed + +382 +00:26:05,290 --> 00:26:10,190 +Changed يعني متجذر جدا لدرجة لا يمكن تغييره + +383 +00:26:10,190 --> 00:26:13,230 +فبالتالي بدنا نفهم أنه رقميا ال reduced versions + +384 +00:26:13,230 --> 00:26:17,970 +أكبر من ال versions أكبر من ال versions المرة + +385 +00:26:17,970 --> 00:26:22,890 +القادمة هنعرف يعني كيف أنه ال lens makers equation + +386 +00:26:22,890 --> 00:26:28,830 +ممكن أنا أعبر عنها أعبر عنهابطريقة ال versions + +387 +00:26:28,830 --> 00:26:33,670 +اللي احنا شرحناها بطريقة الحالة التشتتية للضوء + +388 +00:26:33,670 --> 00:26:37,330 +بطريقة الحالة يعني المرة الجاية كيف أصيغ ال lens + +389 +00:26:37,330 --> 00:26:43,150 +makers equation مرة أخرى بس من مفهوم أو من رؤية ال + +390 +00:26:43,150 --> 00:26:46,170 +versions of light و يعطيكم العافية والسلام عليكم + +391 +00:26:46,170 --> 00:26:47,730 +ورحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2oRzk38-n14_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2oRzk38-n14_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..4afe1e95df95016c2f990700b921192707a7fbae --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/2oRzk38-n14_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2473, "start": 1.53, "end": 24.73, "text": "In the name of God, Most Gracious, Most Merciful. 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على", "probability": 0.41259765625}, {"start": 648.74, "end": 648.86, "word": " ال", "probability": 0.95068359375}, {"start": 648.86, "end": 649.58, "word": " paraxial", "probability": 0.97412109375}, {"start": 649.58, "end": 650.02, "word": " rays", "probability": 0.935546875}], "temperature": 1.0}, {"id": 30, "seek": 67572, "start": 651.12, "end": 675.72, "text": "Power is not applicable لأ يمكن يعني تطبيق كلمة power على ال non-paraxial regions of the corner. In the paraxial region imaging is stigmatic ال paraxial rays focus to a common point بس ال paraxial ray وعددها قليل even for spherical surfaces outside the paraxial region rays do not focus to a single point", "tokens": [46057, 307, 406, 21142, 5296, 10721, 7251, 43020, 37495, 22653, 6055, 9566, 21292, 4587, 9122, 19528, 3660, 1347, 15844, 2423, 2107, 12, 48978, 87, 831, 10682, 295, 264, 4538, 13, 682, 264, 1690, 87, 831, 4458, 25036, 307, 342, 20181, 2399, 2423, 1690, 87, 831, 24417, 1879, 281, 257, 2689, 935, 4724, 3794, 2423, 1690, 87, 831, 18592, 4032, 22488, 3215, 11296, 12174, 20292, 1211, 754, 337, 37300, 16130, 2380, 264, 1690, 87, 831, 4458, 24417, 360, 406, 1879, 281, 257, 2167, 935], "avg_logprob": -0.23456100995341936, "compression_ratio": 1.5357142857142858, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 651.12, "end": 651.48, "word": "Power", "probability": 0.7138671875}, {"start": 651.48, "end": 651.8, "word": " is", "probability": 0.953125}, {"start": 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0.92431640625}, {"start": 668.04, "end": 669.0, "word": " even", "probability": 0.5107421875}, {"start": 669.0, "end": 669.32, "word": " for", "probability": 0.93359375}, {"start": 669.32, "end": 669.84, "word": " spherical", "probability": 0.94384765625}, {"start": 669.84, "end": 670.54, "word": " surfaces", "probability": 0.95751953125}, {"start": 670.54, "end": 671.28, "word": " outside", "probability": 0.81494140625}, {"start": 671.28, "end": 671.6, "word": " the", "probability": 0.9208984375}, {"start": 671.6, "end": 672.24, "word": " paraxial", "probability": 0.9352213541666666}, {"start": 672.24, "end": 672.76, "word": " region", "probability": 0.9248046875}, {"start": 672.76, "end": 673.52, "word": " rays", "probability": 0.53466796875}, {"start": 673.52, "end": 673.74, "word": " do", "probability": 0.97265625}, {"start": 673.74, "end": 674.02, "word": " not", "probability": 0.958984375}, {"start": 674.02, "end": 674.56, "word": " focus", "probability": 0.962890625}, {"start": 674.56, "end": 674.74, "word": " to", "probability": 0.958984375}, {"start": 674.74, "end": 674.92, "word": " a", "probability": 0.97314453125}, {"start": 674.92, "end": 675.24, "word": " single", "probability": 0.94384765625}, {"start": 675.24, "end": 675.72, "word": " point", "probability": 0.97216796875}], "temperature": 1.0}, {"id": 31, "seek": 69628, "start": 680.28, "end": 696.28, "text": "Paraxial rays focus on single point, but non-paraxial rays focus on various locations", "tokens": [46087, 2797, 831, 24417, 1879, 322, 2167, 935, 11, 457, 2107, 12, 2181, 2797, 831, 24417, 1879, 322, 3683, 9253], "avg_logprob": -0.6555059410276867, "compression_ratio": 1.1971830985915493, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 680.28, "end": 681.68, "word": "Paraxial", "probability": 0.7291666666666666}, {"start": 681.68, "end": 681.68, "word": " rays", "probability": 0.70751953125}, {"start": 681.68, "end": 682.44, "word": " focus", "probability": 0.13232421875}, {"start": 682.44, "end": 683.62, "word": " on", "probability": 0.587890625}, {"start": 683.62, "end": 684.9, "word": " single", "probability": 0.677734375}, {"start": 684.9, "end": 685.42, "word": " point,", "probability": 0.63720703125}, {"start": 685.5, "end": 688.82, "word": " but", "probability": 0.228515625}, {"start": 688.82, "end": 692.22, "word": " non", "probability": 0.488525390625}, {"start": 692.22, "end": 693.08, "word": "-paraxial", "probability": 0.83270263671875}, {"start": 693.08, "end": 693.4, "word": " rays", "probability": 0.81640625}, {"start": 693.4, "end": 694.12, "word": " focus", "probability": 0.72021484375}, {"start": 694.12, "end": 695.2, "word": " on", "probability": 0.64794921875}, {"start": 695.2, "end": 695.52, "word": " various", "probability": 0.2919921875}, {"start": 695.52, "end": 696.28, "word": " locations", "probability": 0.492919921875}], "temperature": 1.0}, {"id": 32, "seek": 72626, "start": 700.12, "end": 726.26, "text": "طبعا الأشعة ككل مع بعضها بتعطيني صورة مش stigmatic لإنه مش كل الأشعة بتكون focus to a single point إذا .. إذا ال para axial rays focus to a single point بينما ال non para axial ray اللي عددها أكبر بتعطيني point spread function يعني مش stigmatic imaging .. مش stigmatic imaging", "tokens": [9566, 3555, 3615, 995, 16247, 8592, 27884, 9122, 28820, 20449, 45030, 11242, 11296, 39894, 3615, 9566, 1829, 22653, 20328, 13063, 3660, 37893, 342, 20181, 2399, 5296, 28814, 1863, 3224, 37893, 28242, 16247, 8592, 27884, 39894, 30544, 1879, 281, 257, 2167, 935, 11933, 15730, 4386, 11933, 15730, 2423, 1690, 46851, 24417, 1879, 281, 257, 2167, 935, 49374, 15042, 2423, 2107, 1690, 46851, 18592, 13672, 1829, 6225, 3215, 3215, 11296, 5551, 4117, 26890, 39894, 3615, 9566, 1829, 22653, 935, 3974, 2445, 37495, 22653, 37893, 342, 20181, 2399, 25036, 4386, 37893, 342, 20181, 2399, 25036], "avg_logprob": -0.22244623143185852, "compression_ratio": 1.7836538461538463, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 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"end": 713.78, "word": " axial", "probability": 0.515625}, {"start": 713.78, "end": 714.2, "word": " rays", "probability": 0.73388671875}, {"start": 714.2, "end": 714.9, "word": " focus", "probability": 0.8916015625}, {"start": 714.9, "end": 715.16, "word": " to", "probability": 0.98095703125}, {"start": 715.16, "end": 715.34, "word": " a", "probability": 0.9736328125}, {"start": 715.34, "end": 715.64, "word": " single", "probability": 0.9580078125}, {"start": 715.64, "end": 716.02, "word": " point", "probability": 0.98046875}, {"start": 716.02, "end": 716.44, "word": " بينما", "probability": 0.766845703125}, {"start": 716.44, "end": 716.6, "word": " ال", "probability": 0.9384765625}, {"start": 716.6, "end": 716.76, "word": " non", "probability": 0.837890625}, {"start": 716.76, "end": 717.04, "word": " para", "probability": 0.56103515625}, {"start": 717.04, "end": 717.4, "word": " axial", "probability": 0.86865234375}, {"start": 717.4, "end": 717.68, "word": " ray", "probability": 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0.47119140625}, {"start": 724.88, "end": 725.02, "word": " مش", "probability": 0.86669921875}, {"start": 725.02, "end": 725.7, "word": " stigmatic", "probability": 0.8240559895833334}, {"start": 725.7, "end": 726.26, "word": " imaging", "probability": 0.912109375}], "temperature": 1.0}, {"id": 33, "seek": 73785, "start": 728.69, "end": 737.85, "text": "That is, away from the para-axial region, rays do not focus as predicted when the lensmaker's equation is used", "tokens": [6390, 307, 11, 1314, 490, 264, 1690, 12, 2797, 831, 4458, 11, 24417, 360, 406, 1879, 382, 19147, 562, 264, 6765, 18821, 311, 5367, 307, 1143], "avg_logprob": -0.26880787699310865, "compression_ratio": 1.1458333333333333, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 728.69, "end": 729.11, "word": "That", "probability": 0.2841796875}, {"start": 729.11, "end": 729.49, "word": " is,", "probability": 0.90625}, {"start": 729.83, "end": 730.05, "word": " away", "probability": 0.70068359375}, {"start": 730.05, "end": 730.43, "word": " from", "probability": 0.89404296875}, {"start": 730.43, "end": 730.67, "word": " the", "probability": 0.8974609375}, {"start": 730.67, "end": 730.89, "word": " para", "probability": 0.7470703125}, {"start": 730.89, "end": 731.33, "word": "-axial", "probability": 0.76318359375}, {"start": 731.33, "end": 731.75, "word": " region,", "probability": 0.88818359375}, {"start": 731.89, "end": 732.25, "word": " rays", "probability": 0.94873046875}, {"start": 732.25, "end": 732.61, "word": " do", "probability": 0.94384765625}, {"start": 732.61, "end": 732.87, "word": " not", "probability": 0.94677734375}, {"start": 732.87, "end": 733.37, "word": " focus", "probability": 0.9521484375}, {"start": 733.37, "end": 733.71, "word": " as", "probability": 0.96533203125}, {"start": 733.71, "end": 734.33, "word": " predicted", "probability": 0.837890625}, {"start": 734.33, "end": 734.61, "word": " when", "probability": 0.9169921875}, {"start": 734.61, "end": 734.79, "word": " the", "probability": 0.92236328125}, {"start": 734.79, "end": 735.57, "word": " lensmaker's", "probability": 0.6739908854166666}, {"start": 735.57, "end": 736.41, "word": " equation", "probability": 0.96142578125}, {"start": 736.41, "end": 737.43, "word": " is", "probability": 0.943359375}, {"start": 737.43, "end": 737.85, "word": " used", "probability": 0.9365234375}], "temperature": 1.0}, {"id": 34, "seek": 76233, "start": 742.45, "end": 762.33, "text": "I use it to say where is the image of the x-ray, if I take this example and apply lens maker equation minus n over o plus condition minus n over r equals n condition over i, it will give me the location of the image here", "tokens": [40, 764, 309, 281, 584, 689, 307, 264, 3256, 295, 264, 2031, 12, 3458, 11, 498, 286, 747, 341, 1365, 293, 3079, 6765, 17127, 5367, 3175, 297, 670, 277, 1804, 4188, 3175, 297, 670, 367, 6915, 297, 4188, 670, 741, 11, 309, 486, 976, 385, 264, 4914, 295, 264, 3256, 510], "avg_logprob": 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{"id": 35, "seek": 78350, "start": 762.88, "end": 783.5, "text": "Where did the focus go to the para-axial ray? Because the lensmakers equation was produced by using the para-axial rays. So it will give me the image that formed at this point and not give me the place where the focus went to the non-para-axial ray", "tokens": [14436, 630, 264, 1879, 352, 281, 264, 1690, 12, 2797, 831, 18592, 30, 1436, 264, 6765, 15870, 5367, 390, 7126, 538, 1228, 264, 1690, 12, 2797, 831, 24417, 13, 407, 309, 486, 976, 385, 264, 3256, 300, 8693, 412, 341, 935, 293, 406, 976, 385, 264, 1081, 689, 264, 1879, 1437, 281, 264, 2107, 12, 48978, 12, 2797, 831, 18592], "avg_logprob": -0.5471311240899758, "compression_ratio": 1.6103896103896105, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 762.88, "end": 763.24, "word": "Where", "probability": 0.1951904296875}, {"start": 763.24, "end": 763.58, "word": " did", "probability": 0.2371826171875}, {"start": 763.58, "end": 763.64, "word": " the", "probability": 0.60400390625}, {"start": 763.64, "end": 763.96, "word": " focus", "probability": 0.83349609375}, {"start": 763.96, "end": 764.06, "word": " go", "probability": 0.29248046875}, 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83447, "start": 811.77, "end": 834.47, "text": "to show how both simple lenses and complex optical systems are modeled. Of course here, this topic was prepared in previous lectures by taking a detailed idea of what is called first order optics. We will use the principles of first order optics and the lens makers equation", "tokens": [1353, 855, 577, 1293, 2199, 18059, 293, 3997, 20674, 3652, 366, 37140, 13, 2720, 1164, 510, 11, 341, 4829, 390, 4927, 294, 3894, 16564, 538, 1940, 257, 9942, 1558, 295, 437, 307, 1219, 700, 1668, 42599, 13, 492, 486, 764, 264, 9156, 295, 700, 1668, 42599, 293, 264, 6765, 19323, 5367], "avg_logprob": -0.43900239868805957, "compression_ratio": 1.5393258426966292, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 811.77, "end": 811.91, "word": "to", "probability": 0.5751953125}, {"start": 811.91, "end": 812.15, "word": " show", "probability": 0.94091796875}, {"start": 812.15, "end": 812.43, "word": " how", "probability": 0.90576171875}, {"start": 812.43, "end": 812.79, "word": " both", "probability": 0.89501953125}, {"start": 812.79, "end": 813.23, "word": " simple", "probability": 0.93359375}, {"start": 813.23, "end": 813.67, "word": " lenses", "probability": 0.90380859375}, {"start": 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We say as follows, before we rush into the answer", "tokens": [21520, 291, 536, 264, 47387, 510, 544, 11, 420, 264, 47387, 510, 544, 30, 492, 584, 382, 10002, 11, 949, 321, 9300, 666, 264, 1867], "avg_logprob": -0.5606971107996427, "compression_ratio": 1.3529411764705883, "no_speech_prob": 0.0, "words": [{"start": 1596.31, "end": 1596.67, "word": "Or", "probability": 0.1795654296875}, {"start": 1596.67, "end": 1596.77, "word": " you", "probability": 0.2415771484375}, {"start": 1596.77, "end": 1596.95, "word": " see", "probability": 0.62158203125}, {"start": 1596.95, "end": 1597.23, "word": " the", "probability": 0.5673828125}, {"start": 1597.23, "end": 1597.85, "word": " divergence", "probability": 0.9765625}, {"start": 1597.85, "end": 1598.41, "word": " here", "probability": 0.7158203125}, {"start": 1598.41, "end": 1598.85, "word": " more,", "probability": 0.724609375}, {"start": 1599.83, "end": 1600.17, "word": " or", "probability": 0.71142578125}, {"start": 1600.17, "end": 1600.73, "word": " the", "probability": 0.49609375}, {"start": 1600.73, "end": 1601.39, "word": " divergence", "probability": 0.9833984375}, {"start": 1601.39, "end": 1601.81, "word": " here", "probability": 0.76611328125}, {"start": 1601.81, "end": 1602.21, "word": " more?", "probability": 0.89404296875}, {"start": 1602.45, "end": 1602.75, "word": " We", "probability": 0.63623046875}, {"start": 1602.75, "end": 1603.01, "word": " say", "probability": 0.7822265625}, {"start": 1603.01, "end": 1603.15, "word": " as", "probability": 0.662109375}, {"start": 1603.15, "end": 1603.47, "word": " follows,", "probability": 0.7060546875}, {"start": 1603.83, "end": 1604.27, "word": " before", "probability": 0.841796875}, {"start": 1604.27, "end": 1604.51, "word": " we", "probability": 0.55712890625}, {"start": 1604.51, "end": 1604.91, "word": " rush", "probability": 0.55029296875}, {"start": 1604.91, "end": 1605.15, "word": " into", "probability": 0.2291259765625}, {"start": 1605.15, "end": 1605.25, "word": " the", "probability": 0.62939453125}, {"start": 1605.25, "end": 1605.65, "word": " answer", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 71, "seek": 163383, "start": 1606.63, "end": 1633.83, "text": "Before we rush into the answer, we want to say how to calculate divergence? 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of rays between them, we forget the red rays, these red rays belong to the second example, or the second part of the experiment when we moved the lens away, I'm drawing them in red, it's not our topic now Now, there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here, and there are rays here", "tokens": [392, 563, 2967, 295, 24417, 1296, 552, 11, 321, 2870, 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Of course, one and two and three and four must enter the optical system, otherwise they will be outside the comparison, away from the comparison. So, the closer we are to the object, the more divergent the rays will be. 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The rays one and two or three and four? It is clear that one and two, one and two, more divergence than three and four In other words, when we approach the lens, a place close to the object, these rays will gather more divergence When we move away from the lens, when we move away from the lens", "tokens": [6455, 567, 15700, 544, 47387, 30, 440, 24417, 472, 293, 732, 420, 1045, 293, 1451, 30, 467, 307, 1850, 300, 472, 293, 732, 11, 472, 293, 732, 11, 544, 47387, 813, 1045, 293, 1451, 682, 661, 2283, 11, 562, 321, 3109, 264, 6765, 11, 257, 1081, 1998, 281, 264, 2657, 11, 613, 24417, 486, 5448, 544, 47387, 1133, 321, 1286, 1314, 490, 264, 6765, 11, 562, 321, 1286, 1314, 490, 264, 6765], "avg_logprob": -0.31827912265307284, "compression_ratio": 1.9518072289156627, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1743.62, "end": 1743.98, "word": "So", "probability": 0.6416015625}, {"start": 1743.98, "end": 1744.26, "word": " who", "probability": 0.56201171875}, {"start": 1744.26, "end": 1744.74, "word": " reads", 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To think about this topic and to prove it, let's go back and see the simulation of the bending of light. 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The ray is undeviated. Light changes speed as it crosses the interface, but does not change direction.", "tokens": [2278, 20674, 9226, 307, 45353, 278, 2643, 13, 440, 18592, 307, 40981, 4917, 770, 13, 8279, 2962, 3073, 382, 309, 28467, 264, 9226, 11, 457, 775, 406, 1319, 3513, 13], "avg_logprob": -0.37928428380720075, "compression_ratio": 1.3125, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 405.44, "end": 405.7, "word": "The", "probability": 0.490966796875}, {"start": 405.7, "end": 406.1, "word": " optical", "probability": 0.8759765625}, {"start": 406.1, "end": 406.86, "word": " interface", "probability": 0.90283203125}, {"start": 406.86, "end": 408.06, "word": " is", "probability": 0.160400390625}, {"start": 408.06, "end": 411.14, "word": " refracting", "probability": 0.5906982421875}, {"start": 411.14, "end": 411.56, "word": " service.", "probability": 0.56298828125}, {"start": 413.56, "end": 413.7, "word": " The", "probability": 0.3330078125}, {"start": 413.7, "end": 413.94, "word": " ray", "probability": 0.90576171875}, {"start": 413.94, "end": 414.32, "word": " is", "probability": 0.8583984375}, {"start": 414.32, "end": 415.22, "word": " undeviated.", "probability": 0.7759602864583334}, {"start": 420.02, "end": 420.66, "word": " Light", "probability": 0.7119140625}, {"start": 420.66, "end": 421.2, "word": " changes", "probability": 0.83154296875}, {"start": 421.2, "end": 421.86, "word": " speed", "probability": 0.84765625}, {"start": 421.86, "end": 422.26, "word": " as", "probability": 0.94482421875}, {"start": 422.26, "end": 422.52, "word": " it", "probability": 0.94873046875}, {"start": 422.52, "end": 422.88, "word": " crosses", "probability": 0.82763671875}, {"start": 422.88, "end": 423.16, "word": " the", "probability": 0.90185546875}, {"start": 423.16, "end": 423.82, "word": " interface,", "probability": 0.8916015625}, {"start": 424.26, "end": 424.34, "word": " but", "probability": 0.9228515625}, {"start": 424.34, "end": 424.64, "word": " does", "probability": 0.927734375}, {"start": 424.64, "end": 424.94, "word": " not", "probability": 0.9521484375}, {"start": 424.94, "end": 425.46, "word": " change", "probability": 0.90576171875}, {"start": 425.46, "end": 426.06, "word": " direction.", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 17, "seek": 45749, "start": 432.77, "end": 457.49, "text": "If it was going to the middle, less in density, the light would be faster But it does not change in direction And that's why if we want to define refraction, what exactly is it? It is the change in the speed of light when it moves from one center to another It may change in direction and may not change in direction When does it not change in direction when the fall is vertical?", "tokens": [8031, 309, 390, 516, 281, 264, 2808, 11, 1570, 294, 10305, 11, 264, 1442, 576, 312, 4663, 583, 309, 775, 406, 1319, 294, 3513, 400, 300, 311, 983, 498, 321, 528, 281, 6964, 1895, 26766, 11, 437, 2293, 307, 309, 30, 467, 307, 264, 1319, 294, 264, 3073, 295, 1442, 562, 309, 6067, 490, 472, 3056, 281, 1071, 467, 815, 1319, 294, 3513, 293, 815, 406, 1319, 294, 3513, 1133, 775, 309, 406, 1319, 294, 3513, 562, 264, 2100, 307, 9429, 30], "avg_logprob": -0.5097891709890711, "compression_ratio": 1.8269230769230769, "no_speech_prob": 3.814697265625e-06, "words": [{"start": 432.77, "end": 433.03, "word": "If", "probability": 0.51513671875}, {"start": 433.03, "end": 433.29, "word": " it", "probability": 0.495849609375}, {"start": 433.29, "end": 433.29, "word": " was", "probability": 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does not change direction. When the drop is not vertical, it changes with the direction, it changes. Here the angle is 11.4 degrees and here the angle is 7.6 degrees. If the direction does not change, the angle should be equal to this angle. 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The critical angle is the angle of fall .. is the angle of fall", "tokens": [6455, 11, 437, 307, 264, 4924, 5802, 30, 440, 4924, 5802, 307, 264, 5802, 295, 2100, 4386, 307, 264, 5802, 295, 2100], "avg_logprob": -0.30587637165318365, "compression_ratio": 1.6101694915254237, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 808.16, "end": 808.54, "word": "So,", "probability": 0.56298828125}, {"start": 808.78, "end": 809.08, "word": " what", "probability": 0.9296875}, {"start": 809.08, "end": 809.34, "word": " is", "probability": 0.8662109375}, {"start": 809.34, "end": 809.5, "word": " the", "probability": 0.485595703125}, {"start": 809.5, "end": 809.9, "word": " critical", "probability": 0.93310546875}, {"start": 809.9, "end": 810.46, "word": " angle?", "probability": 0.91845703125}, {"start": 811.06, "end": 811.34, "word": " The", "probability": 0.8564453125}, {"start": 811.34, "end": 811.78, "word": " critical", "probability": 0.92333984375}, {"start": 811.78, "end": 812.26, "word": " angle", "probability": 0.89111328125}, {"start": 812.26, "end": 812.54, "word": " is", "probability": 0.9169921875}, {"start": 812.54, "end": 813.04, "word": " the", "probability": 0.634765625}, {"start": 813.04, "end": 813.04, "word": " angle", "probability": 0.74853515625}, {"start": 813.04, "end": 813.22, "word": " of", "probability": 0.9560546875}, {"start": 813.22, "end": 813.56, "word": " fall", "probability": 0.426025390625}, {"start": 813.56, "end": 814.82, "word": " ..", "probability": 0.6171875}, {"start": 814.82, "end": 816.24, "word": " is", "probability": 0.414306640625}, {"start": 816.24, "end": 816.5, "word": " the", "probability": 0.9365234375}, {"start": 816.5, "end": 816.62, "word": " angle", "probability": 0.89404296875}, {"start": 816.62, "end": 816.86, "word": " of", "probability": 0.9697265625}, {"start": 816.86, "end": 817.12, "word": " fall", "probability": 0.8427734375}], "temperature": 1.0}, {"id": 32, "seek": 84401, "start": 817.71, "end": 844.01, "text": "بتعطيني زاوية انكسار مقدارها تسعين درجة What does it mean to have an angle of contraction of 90 degrees? 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Okay, so the curved angle is the angle of fall θI. Okay, but what distinguishes it from the rest of the angles of fall? What distinguishes it from the rest of the angles of fall is that it creates an angle of deflection with a magnitude of 90 degrees. With a magnitude of 90 degrees. 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Of course, the law of reflection governs its direction. θI is equal to θR. There are no rays passing through. 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The critical angle is the angle of fall that makes the angle of deflection 90 degrees. Of course, here it is not 90 degrees. 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angle critical angle السؤال يا ترى بقدر أحدد قيمة ال critical angle للمواد المختلفة؟ بنقول نعم إذا the law of reflection governs the direction of the reflected ray", "tokens": [3794, 995, 34268, 11296, 5296, 15042, 7251, 24401, 12984, 23758, 4032, 1829, 9381, 49628, 25124, 3615, 45761, 9673, 1863, 4117, 3794, 2288, 13672, 1829, 41850, 4724, 10721, 8592, 2288, 47356, 7251, 7435, 16572, 15844, 21136, 9566, 5016, 27188, 33546, 1211, 8608, 995, 34268, 11296, 4724, 38251, 1829, 30767, 995, 2407, 10632, 21136, 4587, 2407, 9566, 4924, 5802, 4924, 5802, 21136, 33604, 6027, 35186, 6055, 2288, 7578, 4724, 28543, 2288, 5551, 24401, 3215, 12174, 32640, 3660, 2423, 4924, 5802, 5296, 19528, 14407, 3215, 9673, 46456, 46538, 3660, 22807, 44945, 39648, 8717, 25957, 11933, 15730, 264, 2101, 295, 12914, 1980, 82, 264, 3513, 295, 264, 15502, 18592], "avg_logprob": -0.16833725965247964, "compression_ratio": 1.685483870967742, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1008.04, "end": 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Why? Because it did not go to the second substance. It began to run on the surface. It grazes on the surface. It grazes on the surface. As a result, it came to a distance at the optical interface. I cannot say that it moved to the second substance or returned to the first substance, which is the glass that came from it. And here, this drawing shows that this is the case. 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Sometimes I consider this to be the critical angle. 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Any rays, all the rays that fall at an angle greater than the critical angle, it must be at an angle greater than the critical angle, all of them will have an internal reflection, internal means in the same substance, and all of them means if 100,000 rays fall from me", "tokens": [3748, 775, 309, 914, 30, 2639, 24417, 11, 439, 264, 24417, 300, 2100, 412, 364, 5802, 5044, 813, 264, 4924, 5802, 11, 309, 1633, 312, 412, 364, 5802, 5044, 813, 264, 4924, 5802, 11, 439, 295, 552, 486, 362, 364, 6920, 12914, 11, 6920, 1355, 294, 264, 912, 12961, 11, 293, 439, 295, 552, 1355, 498, 2319, 11, 1360, 24417, 2100, 490, 385], "avg_logprob": -0.4865722577087581, "compression_ratio": 1.8636363636363635, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 1506.82, "end": 1507.14, "word": "What", "probability": 0.3427734375}, {"start": 1507.14, "end": 1507.82, "word": " does", "probability": 0.60498046875}, {"start": 1507.82, "end": 1507.92, "word": " it", "probability": 0.5380859375}, 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0000000000000000000000000000000000000000..f86ddb6cea2c5e064dfd6a8258473dd667de5037 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY.srt @@ -0,0 +1,1324 @@ + +1 +00:00:01,890 --> 00:00:06,990 +بسم الله الرحمن الرحيم، مرحبا بيكم في المحاضرة + +2 +00:00:06,990 --> 00:00:11,770 +التالتة من البصريات الهندسية، اتوقفنا عند imaging + +3 +00:00:11,770 --> 00:00:17,850 +with lenses and mirrors، يعني التصوير باستعمال + +4 +00:00:17,850 --> 00:00:23,600 +العدسات أو المرايا ك optical systems. Today we are + +5 +00:00:23,600 --> 00:00:25,800 +going to repeat and repeat the pinhole experiment, + +6 +00:00:26,300 --> 00:00:27,980 +but instead of putting a pinhole, we are going to + +7 +00:00:27,980 --> 00:00:32,660 +put a lens plus 6 diopter or plus 5 diopter. Of + +8 +00:00:32,660 --> 00:00:36,760 +course, this plus 6 is short for the word diopter. + +9 +00:00:37,020 --> 00:00:38,920 +The diopter is a unit of measurement of the power + +10 +00:00:38,920 --> 00:00:43,040 +of the lens. If it is plus, it is a positive lens. + +11 +00:00:43,220 --> 00:00:47,020 +If it is minus, it is a negative lens. So repeat + +12 +00:00:47,020 --> 00:00:50,120 +the pinhole imaging demonstration. Let's just + +13 +00:00:50,120 --> 00:00:53,700 +remember the experience of the pinhole. The + +14 +00:00:53,700 --> 00:01:00,600 +experience of the pinhole is, excuse me, + +15 +00:01:01,140 --> 00:01:06,040 +we put a candle and a piece of paper that we use to + +16 +00:01:06,040 --> 00:01:10,240 +make holes in the pinhole, and there's a receipt + +17 +00:01:10,240 --> 00:01:12,180 +paper here. It's not written of course, but here + +18 +00:01:12,180 --> 00:01:15,900 +it's a upside down picture of the candle's flame, + +19 +00:01:16,060 --> 00:01:18,740 +of the candle's flame. Of course, we.. the only + +20 +00:01:18,740 --> 00:01:20,540 +thing that we're going to change is that instead + +21 +00:01:20,540 --> 00:01:23,280 +of the pinhole, the candle will remain a candle + +22 +00:01:23,280 --> 00:01:25,620 +and the receipt paper that we're going to print on + +23 +00:01:25,620 --> 00:01:29,670 +it will remain the same. بس هنشيل ورقة القصدير و + +24 +00:01:29,670 --> 00:01:35,750 +نستبدلها بعدسة عشان نشوف هل نحصل على صورة أفضل من + +25 +00:01:35,750 --> 00:01:39,630 +ال pinhole ولا على نفس الوضع، اذا repeat the + +26 +00:01:39,630 --> 00:01:45,400 +pinhole imaging demonstration but replace with plus + +27 +00:01:45,400 --> 00:01:50,020 +6 diopter spherical trial lens and note the + +28 +00:01:50,020 --> 00:01:56,700 +improvement in the image. Vary + +29 +00:01:56,700 --> 00:02:00,300 +the + +30 +00:02:00,300 --> 00:02:04,440 +distances among the candle lens and paper, and + +31 +00:02:04,440 --> 00:02:07,300 +observe the variety of different image + +32 +00:02:07,300 --> 00:02:11,120 +characteristics that can be obtained. يعني لو غيرنا + +33 +00:02:11,120 --> 00:02:16,380 +المسافة بين الشمعة و العدسة و ورقة التلقي، اللي ال + +34 +00:02:16,380 --> 00:02:20,080 +candle و ال lens و ال paper، هنلاحظ أنه تغيرت + +35 +00:02:20,080 --> 00:02:27,240 +الصفات بتاعة الصورة. يعني بتغير هذه المسافات يعني + +36 +00:02:27,240 --> 00:02:30,480 +الصورة مرة كبرت مرة صغرت مرة صارت أوضح مرة صارت + +37 +00:02:30,480 --> 00:02:37,520 +أقل وضوحا، بس بتظلها دائما و أبدا أوضح بكتير من + +38 +00:02:37,520 --> 00:02:42,470 +الصورة باستخدام ال pinhole. Different lenses provide + +39 +00:02:42,470 --> 00:02:46,230 +an even broader range of images. لو انا استخدمت + +40 +00:02:46,230 --> 00:02:50,770 +عدسات تانية غير ال plus 6, plus 5, plus 7, plus 12, + +41 +00:02:50,770 --> 00:02:55,790 +plus 20, plus 1, plus 2, يعني لو غيرت في قوة العدسات + +42 +00:02:55,790 --> 00:03:00,830 +أو بمعنى اخر قوة ال optical system، هحصل على يعني + +43 +00:03:00,830 --> 00:03:06,040 +صور بصفات different, but all these pictures will + +44 +00:03:06,040 --> 00:03:11,400 +remain much clearer than if I used pinhole and its + +45 +00:03:11,400 --> 00:03:15,920 +clarity enables us to see it in a way that is very + +46 +00:03:15,920 --> 00:03:17,640 +clear, very clear. + +47 +00:03:20,650 --> 00:03:25,510 +This is the drawing that represents or simulates + +48 +00:03:25,510 --> 00:03:28,650 +the experiment that we just talked about which + +49 +00:03:28,650 --> 00:03:30,470 +here is the candle that we will represent with an + +50 +00:03:30,470 --> 00:03:33,250 +arrow. This is the lens which is the plus 6 diopter + +51 +00:03:33,250 --> 00:03:36,490 +or any other force, and here is the receipt paper. + +52 +00:03:36,590 --> 00:03:39,750 +It is not drawn, but it is drawn that I have + +53 +00:03:39,750 --> 00:03:44,410 +formed a upside down picture of the candle, of the + +54 +00:03:44,410 --> 00:03:49,630 +candle's flame. Now we want to do a comparison with + +55 +00:03:49,630 --> 00:03:56,490 +the pinhole. The lens allows much more light from + +56 +00:03:56,490 --> 00:04:01,110 +each object point to traverse the lens, and + +57 +00:04:01,110 --> 00:04:05,670 +ultimately contribute to the Image. Now if we take + +58 +00:04:05,670 --> 00:04:08,470 +an example or to compare between the picture of + +59 +00:04:08,470 --> 00:04:12,850 +the pinhole and the picture of the lens, we say + +60 +00:04:12,850 --> 00:04:15,390 +that we will take the point which is at the top of + +61 +00:04:15,390 --> 00:04:17,930 +the candlelight, we talked about the point that + +62 +00:04:17,930 --> 00:04:21,770 +spreads hundreds of thousands of rays. وفرضنا جدلا + +63 +00:04:21,770 --> 00:04:25,790 +أنّه لو قلنا أنه بنطلق من النقطة A فقط، وهذا بنطبق + +64 +00:04:25,790 --> 00:04:30,470 +على كل نقاط ال object، لو بنطلق من النقطة A مليون + +65 +00:04:30,470 --> 00:04:34,570 +شعاع، هيكون نصيب ال pinhole من المليون شعاع مثلا + +66 +00:04:34,570 --> 00:04:40,130 +خمسمائة شعاع. خمسمائة شعاع هدول هيتجمعوا ويكونوا + +67 +00:04:40,130 --> 00:04:44,350 +لإيه شرطة.. إيه شرطة اللي هي صورة A, وقولنا + +68 +00:04:44,350 --> 00:04:49,130 +الخمسمائة شعاع يعتبر عددهم جليل جدا جدا بالنسبة + +69 +00:04:49,130 --> 00:04:52,990 +للمليون شعاع. تقريبا نص في الألف عددهم. احنا بنضرب + +70 +00:04:52,990 --> 00:04:56,370 +الأمثلة هاي مش أرقام دقيقة، ولكن لتقريب المفهوم. + +71 +00:04:56,630 --> 00:05:01,410 +فساعتها A شرطة هتكون أقل وضوحا بكثير من A هذا + +72 +00:05:01,410 --> 00:05:06,070 +الكلام نفسه بدنا نرجع نطبقه على نفس النقطة بس + +73 +00:05:06,070 --> 00:05:10,230 +باستعمال العدسة. هاي النقطة A اللي قمة لها بالشامعة. + +74 +00:05:10,840 --> 00:05:15,980 +الان انطلق منها مليون شعاع فرضا في جميع الاتجاهات، + +75 +00:05:15,980 --> 00:05:20,340 +يا ترى الأشعاع اللي هتدخل في العدسة، الحزمة الكبيرة + +76 +00:05:20,340 --> 00:05:23,460 +جدا هذه اللي هتدخل في العدسة، نفرض انه دخل في + +77 +00:05:23,460 --> 00:05:28,160 +العدسة ميتين ألف شعاع، يعني تقريبا خمس الأشعع اللي + +78 +00:05:28,160 --> 00:05:32,840 +انطلقت، اللي انطلقت من النقطة A، يعني انطلق منها + +79 +00:05:32,840 --> 00:05:37,880 +في جميع الاتجاهات مليون. دخل من المليون ميتين ألف، + +80 +00:05:37,880 --> 00:05:41,910 +يعني الخمس in the lens, and these five collected the + +81 +00:05:41,910 --> 00:05:45,750 +lens to form the image of point A which is A + +82 +00:05:45,750 --> 00:05:48,890 +condition, of course, A condition here took two + +83 +00:05:48,890 --> 00:05:51,570 +hundred thousand rays, and A condition in pinhole + +84 +00:05:51,570 --> 00:05:54,590 +took five hundred rays. Of course, the image of the + +85 +00:05:54,590 --> 00:05:58,550 +lens will be much clearer because the lens allows + +86 +00:05:58,550 --> 00:06:03,590 +for a larger quantity or size than the rays in + +87 +00:06:03,590 --> 00:06:10,910 +this B, so the lens allows much more light from each + +88 +00:06:10,910 --> 00:06:13,570 +object point. We talked about the point A, but + +89 +00:06:13,570 --> 00:06:16,810 +this applies to every point in the object. It + +90 +00:06:16,810 --> 00:06:21,490 +allows to traverse the lens, and ultimately + +91 +00:06:21,490 --> 00:06:25,040 +contribute to the image. Is to participate in the + +92 +00:06:25,040 --> 00:06:27,600 +formation of the image. Of course, each point, the + +93 +00:06:27,600 --> 00:06:30,160 +rays emitted from it will form the image of the + +94 +00:06:30,160 --> 00:06:35,420 +point. A set of images of all points equals a + +95 +00:06:35,420 --> 00:06:38,200 +complete image. Generally, in a general picture, + +96 +00:06:38,380 --> 00:06:41,220 +and this is the basis, lenses produce better + +97 +00:06:41,220 --> 00:06:46,920 +images than do pinholes. The lenses give me better + +98 +00:06:46,920 --> 00:06:51,160 +pictures or more quality than pinholes, and for + +99 +00:06:51,160 --> 00:06:55,750 +that reason the lenses have been used a lot in our + +100 +00:06:55,750 --> 00:06:58,850 +practical life, and the clearest example of this + +101 +00:06:58,850 --> 00:07:02,090 +is that those who have a visual impairment go and + +102 +00:07:02,090 --> 00:07:06,250 +wear lenses to clarify the image in relation to + +103 +00:07:06,250 --> 00:07:10,500 +them. These are some applications most common in + +104 +00:07:10,500 --> 00:07:14,000 +our practical life, which is the use of glasses, + +105 +00:07:14,220 --> 00:07:16,560 +and there are also other things such as sticky + +106 +00:07:16,560 --> 00:07:21,240 +lenses, and so on. Now this picture illustrates the + +107 +00:07:21,240 --> 00:07:25,010 +experience. We fixed the candle. And this is a + +108 +00:07:25,010 --> 00:07:28,270 +candle, this is a lens carrying a carrier, and + +109 +00:07:28,270 --> 00:07:31,370 +this is the receipt paper. We say candle paper or + +110 +00:07:31,370 --> 00:07:36,550 +A4 paper. And notice a picture with a candle, with + +111 +00:07:36,550 --> 00:07:40,050 +a very clear candle. If we change the distances + +112 +00:07:40,050 --> 00:07:42,590 +between the candle and the lens, which is the + +113 +00:07:42,590 --> 00:07:44,950 +object, and the lens, which is the optical system, + +114 +00:07:45,010 --> 00:07:47,390 +and the receipt paper, which is the receipt of the + +115 +00:07:47,390 --> 00:07:50,870 +image, we get different attributes of the image + +116 +00:07:51,010 --> 00:07:53,350 +once you find the picture bigger, once you find it + +117 +00:07:53,350 --> 00:07:55,910 +smaller, once you find it more focused, more + +118 +00:07:55,910 --> 00:08:00,530 +focused, and clear, once you find it less clear. + +119 +00:08:00,850 --> 00:08:03,630 +One can ask, what is the source? This is the source + +120 +00:08:03,630 --> 00:08:06,930 +for measuring distances, for measuring distances + +121 +00:08:06,930 --> 00:08:09,810 +and doing calculations to know the size of the + +122 +00:08:09,810 --> 00:08:12,170 +image, and the distance of the image from the + +123 +00:08:12,170 --> 00:08:14,430 +optical system, and the distance of the object from + +124 +00:08:14,430 --> 00:08:16,270 +the optical system. Because these are measurements + +125 +00:08:16,270 --> 00:08:19,810 +that we are going to measure later on. So the + +126 +00:08:19,810 --> 00:08:24,650 +lenses experience, as an optical system, results in + +127 +00:08:24,650 --> 00:08:29,470 +lenses, lenses, and also mirrors. These words apply + +128 +00:08:29,470 --> 00:08:33,630 +to mirrors. Lenses, and mirrors make images better + +129 +00:08:33,630 --> 00:08:37,190 +quality, and more quality, and better than pinhole + +130 +00:08:37,420 --> 00:08:41,900 +والهم استخدامات في حياتنا العملية بشكل كبير، بشكل + +131 +00:08:41,900 --> 00:08:45,720 +كبير. طيب، هل العدسات بلا عيوب؟ What are the + +132 +00:08:45,720 --> 00:08:48,880 +disadvantages of lenses? What are the + +133 +00:08:48,880 --> 00:08:54,080 +disadvantages of lenses? طبعا في عيب واحد أو عيب + +134 +00:08:54,080 --> 00:08:59,010 +كبير للعدسات انه image only in one location. يعني ال + +135 +00:08:59,010 --> 00:09:03,530 +image بتكون واضحة في مسافة معينة لو جدمنا عن هذه + +136 +00:09:03,530 --> 00:09:07,350 +المسافة أو بعدنا عن هذه المسافة، يعني اتلقينا و + +137 +00:09:07,350 --> 00:09:10,790 +بورقة التلقي. يعني نفرض ان الصورة هنا عندى واضحة زى + +138 +00:09:10,790 --> 00:09:15,890 +التجربة بتدلنى لو جدمتلى اربعة خمسة سانتي للامام Or + +139 +00:09:15,890 --> 00:09:21,330 +she moved 4-5 cm back, we find that the picture is + +140 +00:09:21,330 --> 00:09:25,550 +no longer useful in + +141 +00:09:25,550 --> 00:09:30,290 +a practical way. For example, a person has .. قصر + +142 +00:09:30,290 --> 00:09:35,130 +نظر درجتين .. قصر نظر درجتين .. لازم يلبس .. لازم + +143 +00:09:35,130 --> 00:09:41,030 +يلبس غالبا عدسة minus 2 عشان الصورة تسير على + +144 +00:09:41,030 --> 00:09:44,730 +الشبكية. الشبكية في هذه اللحظة بتكون هي ورقة تلقي + +145 +00:09:44,730 --> 00:09:51,970 +الصورة طب نفرض أنه قرر يلبس مثلا بدل ال minus 2 + +146 +00:09:51,970 --> 00:09:56,280 +length, قرر يلبس plus 2. Of course, the plus two lens + +147 +00:09:56,280 --> 00:09:59,700 +will form a picture, but this picture is in a + +148 +00:09:59,700 --> 00:10:01,560 +different place from the network location, and + +149 +00:10:01,560 --> 00:10:04,420 +therefore it will feel that things are not clear + +150 +00:10:04,420 --> 00:10:09,860 +to him. Why? Because every lens forms a .. if we + +151 +00:10:09,860 --> 00:10:10,960 +establish the circumstances of the experiment, + +152 +00:10:11,060 --> 00:10:12,260 +what are the circumstances of the experiment? That + +153 +00:10:12,260 --> 00:10:17,370 +the object is in the same place, and the receipt + +154 +00:10:17,370 --> 00:10:20,630 +paper should be in the same place, but I changed + +155 +00:10:20,630 --> 00:10:23,030 +the power of the lens. So that it differs from one + +156 +00:10:23,030 --> 00:10:25,290 +lens to another. We will find that one of the + +157 +00:10:25,290 --> 00:10:28,790 +lenses was clear. The picture, and the rest of the + +158 +00:10:28,790 --> 00:10:32,130 +lenses, the pictures are not clear. Because the + +159 +00:10:32,130 --> 00:10:34,470 +lenses, one of their shortcomings is that they + +160 +00:10:34,470 --> 00:10:39,010 +form a picture in one place only. If I hold the + +161 +00:10:39,010 --> 00:10:41,610 +receipt paper at this place, then the picture will + +162 +00:10:41,610 --> 00:10:43,910 +be clear, I move forward from it or move back from + +163 +00:10:43,910 --> 00:10:47,440 +it sometimes the picture is not clear. While the + +164 +00:10:47,440 --> 00:10:49,660 +pinhole, wherever I want to pick up the picture, + +165 +00:10:50,020 --> 00:10:51,940 +and it is generally the pinhole. The picture is + +166 +00:10:51,940 --> 00:10:54,760 +not clear from its origin, regardless of where I + +167 +00:10:54,760 --> 00:10:58,220 +stood after the pinhole with my pick-up paper + +168 +00:10:58,220 --> 00:11:00,440 +whether I stood a centimeter, ten centimeters, + +169 +00:11:00,620 --> 00:11:02,540 +meter, half a meter. The picture is not clear in + +170 +00:11:02,540 --> 00:11:06,860 +all cases. While in lenses, the picture is clear in + +171 +00:11:06,860 --> 00:11:10,190 +a certain place. And this place is what the lens + +172 +00:11:10,190 --> 00:11:14,090 +forms in its image. Of course, this place varies + +173 +00:11:14,090 --> 00:11:16,810 +from lens to lens according to the strength of the + +174 +00:11:16,810 --> 00:11:20,750 +lens. The mirrors produce images in much the same + +175 +00:11:20,750 --> 00:11:24,870 +way as lenses. The mirrors, whether they are level + +176 +00:11:24,870 --> 00:11:27,070 +mirrors, or flat mirrors, or bottom mirrors, make + +177 +00:11:27,070 --> 00:11:29,650 +pictures of the object, which is a candle or + +178 +00:11:29,650 --> 00:11:32,230 +something similar. They make pictures in the same + +179 +00:11:32,230 --> 00:11:35,150 +way and with the same idea. But the mirrors, we + +180 +00:11:35,150 --> 00:11:37,190 +will delay talking about them for the rest of the + +181 +00:11:37,190 --> 00:11:41,980 +lecture. و هنركز غالبا على العدسات، وهيجي وقت لل + +182 +00:11:41,980 --> 00:11:47,900 +mirror في المحاضرات الأخيرة. Now let's move to + +183 +00:11:47,900 --> 00:11:50,720 +something new that we will get to know that most + +184 +00:11:50,720 --> 00:11:55,090 +optical systems are rotationally symmetrical about + +185 +00:11:55,090 --> 00:11:58,950 +their long axis. This axis of symmetry is the + +186 +00:11:58,950 --> 00:12:02,530 +optical axis. Although the human eye is not truly + +187 +00:12:02,530 --> 00:12:05,910 +rotationally symmetric, it is nearly symmetric + +188 +00:12:05,910 --> 00:12:12,830 +What does this mean? This means that most of + +223 +00:14:26,740 --> 00:14:29,980 +symmetric, in other words, we will say that the + +224 +00:14:29,980 --> 00:14:34,300 +eye has a visual axis or optical axis and we deal + +225 +00:14:34,300 --> 00:14:37,180 +with it as if it is a lens exactly like the lenses + +226 +00:14:37,180 --> 00:14:41,040 +in the factory. To simplify the matter, for the purpose + +227 +00:14:41,040 --> 00:14:44,140 +of simplifying the matter, then most optical + +228 +00:14:44,140 --> 00:14:47,580 +systems are rotationally symmetric about their + +229 +00:14:47,580 --> 00:14:51,440 +long axis, this axis of symmetry is the optical + +230 +00:14:51,440 --> 00:14:55,160 +axis, although the human eye is not truly + +231 +00:14:55,160 --> 00:14:56,800 +rotationally symmetric, meaning that there are + +232 +00:14:56,800 --> 00:14:59,060 +subtle differences in strength, and this is not a + +233 +00:14:59,060 --> 00:15:00,700 +weakness in the human eye, on the contrary, this + +234 +00:15:00,700 --> 00:15:06,540 +is from the wisdom in creation to many things + +235 +00:15:06,540 --> 00:15:10,250 +outside the field of our lecture, of course, although + +236 +00:15:10,250 --> 00:15:12,950 +it is not truly symmetric, rotationally symmetric, + +237 +00:15:13,070 --> 00:15:17,690 +it is nearly symmetric. Now, from now on, from now + +238 +00:15:17,690 --> 00:15:23,550 +on, we will start any topic from the topics of + +239 +00:15:23,550 --> 00:15:28,560 +engineering vision. انه نرسم خط مستقيم أفقي و بعدين + +240 +00:15:28,560 --> 00:15:33,660 +نرسم العدسة يعني بيبدأ رسم ال .. المسألة كلها من + +241 +00:15:33,660 --> 00:15:38,140 +رسم ال optical axis. برسم ال optical axis، برسم + +242 +00:15:38,140 --> 00:15:41,840 +العدسة، بعدين برسم ال object، بمثل ال object + +243 +00:15:41,840 --> 00:15:45,900 +بساهم، بساهم زي ما انتوا شايفين. وأيضا بنمثل ال + +244 +00:15:45,900 --> 00:15:50,740 +image بسهم. طبعا بنرسم ال optical axis ال .. ال .. + +245 +00:15:50,740 --> 00:15:54,940 +ال .. ال object بده يرسم ابتدا من ال optical axis + +246 +00:15:54,940 --> 00:16:00,790 +يعني الشامعة جالسة الآن، جالسة on the optical axis + +247 +00:16:00,790 --> 00:16:04,570 +of the lens, this is the optical axis of the lens, + +248 +00:16:04,710 --> 00:16:06,810 +of the lens, the lens is an optical system and + +249 +00:16:06,810 --> 00:16:10,330 +every optical system or most optical systems have + +250 +00:16:10,330 --> 00:16:13,250 +an optical axis. Also the beginning of the drawing + +251 +00:16:13,250 --> 00:16:15,690 +image is from the optical axis, which means this + +252 +00:16:15,690 --> 00:16:18,690 +is a reference line. This is a reference line, we + +253 +00:16:18,690 --> 00:16:20,670 +will draw on it the object, we will draw on it the + +254 +00:16:20,670 --> 00:16:22,630 +image regardless of whether the image is upside + +255 +00:16:22,630 --> 00:16:27,390 +down or upside down. So this is the starting point + +256 +00:16:27,390 --> 00:16:32,790 +of any problem in Geometric Optics. Now we want to + +257 +00:16:32,790 --> 00:16:37,260 +start the journey from now. We have an object and we + +258 +00:16:37,260 --> 00:16:39,680 +want to make a picture of it. We have an object and + +259 +00:16:39,680 --> 00:16:41,220 +we want to make a picture of it. In order to make a + +260 +00:16:41,220 --> 00:16:43,500 +picture of the object, we need an optical system + +261 +00:16:43,500 --> 00:16:46,700 +We said that there are three elements in our + +262 +00:16:46,700 --> 00:16:49,840 +journey and in our journey, object, which is the + +263 +00:16:49,840 --> 00:16:54,060 +body, optical system, which is the camera, and the + +264 +00:16:54,060 --> 00:16:57,260 +image that we will receive on a receipt paper. The + +265 +00:16:57,260 --> 00:16:59,220 +object, we will start talking about the object, + +266 +00:16:59,420 --> 00:17:02,650 +which is the beginning of the journey. The object + +267 +00:17:02,650 --> 00:17:05,590 +characteristics, the attributes of the object, any + +268 +00:17:05,590 --> 00:17:07,870 +object in the world, when we talk about its + +269 +00:17:07,870 --> 00:17:10,710 +attributes, two or three of its attributes are + +270 +00:17:10,710 --> 00:17:14,570 +important in the science of geometric optics. The + +271 +00:17:14,570 --> 00:17:17,570 +first thing is its location with respect to the + +272 +00:17:17,570 --> 00:17:24,730 +imaging system. I mean, I have this + +273 +00:17:24,730 --> 00:17:28,890 +object, which is a candle, this object, okay, this + +274 +00:17:28,890 --> 00:17:33,650 +object. لما بنقول ما صفات هذا ال object صفتين لا + +275 +00:17:33,650 --> 00:17:37,450 +ثالثة لهم ال location، الموقع، الموقع بالنسبة + +276 +00:17:37,450 --> 00:17:43,590 +لمين؟ بالنسبة لجهاز التصوير، بنقول مثلا ال object + +277 +00:17:43,590 --> 00:17:47,210 +بيبعد عن جهاز التصوير عشرين صنطة or half a meter, + +278 +00:17:47,810 --> 00:17:51,970 +or two meters, or five hundred meters, or three + +279 +00:17:51,970 --> 00:17:54,890 +quarters of a meter, or ten centimeters, or one + +280 +00:17:54,890 --> 00:17:56,430 +centimeter, or five millimeters + +281 +00:18:18,750 --> 00:18:23,530 +It is the location with respect to the imaging + +282 +00:18:23,530 --> 00:18:26,290 +system or the optical system. The second + +283 +00:18:26,290 --> 00:18:31,030 +characteristic of objects is luminosity. Luminosity + +284 +00:18:31,030 --> 00:18:35,470 +if they produce their own light. If not, they only + +285 +00:18:35,470 --> 00:18:38,910 +can be imaged if they are reflective and + +286 +00:18:38,910 --> 00:18:42,510 +illuminated. We said that objects with respect to + +287 +00:18:42,510 --> 00:18:48,220 +luminosity or the light emitted from them إذا كان + +288 +00:18:48,220 --> 00:18:53,180 +ال object .. الأجسام ككل تنقسم لقسمين، إما produce + +289 +00:18:53,180 --> 00:18:55,980 +their own light، يعني بتصدر ضوءها الذاتي، تلاقي + +290 +00:18:55,980 --> 00:19:00,560 +الشامعة قبل شوية احنا، الشامعة هي نفسها أو لها + +291 +00:19:00,560 --> 00:19:04,820 +بالشامعة .. لها بالشامعة، هو نفسه بيصدر ضوء الخاص، + +292 +00:19:04,820 --> 00:19:09,370 +طيب الان نيجي لجسم الشامعة، جسم الشامعة بيستخدش ضوء + +293 +00:19:09,370 --> 00:19:13,850 +الخاص، بيصبط عليه ضوء الغرفة أو ضوء اللهب أو ضوء + +294 +00:19:13,850 --> 00:19:19,350 +الشمس إلى آخره، و هذا الضوء اللي بيصبط عليه، لازم + +295 +00:19:19,350 --> 00:19:25,690 +جسم الشامعة يعكس الضوء، تمام؟ يعكس الضوء، اذا عشان + +296 +00:19:25,690 --> 00:19:31,420 +أشوف أي object في الدنيالازم يكون إما مضيق بذاته + +297 +00:19:31,420 --> 00:19:35,320 +produce their own light ينتج ضوء خاص بنفسه زي + +298 +00:19:35,320 --> 00:19:40,820 +الشمس زي الشمعة زي النار زي أي إشي مضيق. If not .. + +299 +00:19:40,820 --> 00:19:45,060 +طب إذا هو مش مضيق كيف أنا بقدر أشوفه لازم يكون فيه + +300 +00:19:45,060 --> 00:19:50,940 +صفتين تانيات أول صفة منه illuminated مضاء و + +301 +00:19:50,940 --> 00:19:55,120 +reflective عاكس إيش يعني مضاء و عاكس؟ يعني جسم + +302 +00:19:55,120 --> 00:19:57,960 +الإنسان لما بيقف أمام المرأة و المرأة تعتبر + +303 +00:19:57,960 --> 00:20:01,620 +optical system بدي يسقط عليه ضوء النهار سواء ضوء + +304 +00:20:01,620 --> 00:20:06,440 +غرفة ضوء شمس إلى آخره إذا صار illuminated صار مضاء + +305 +00:20:07,590 --> 00:20:10,870 +not luminous, luminous is dimmed, illuminated is + +306 +00:20:10,870 --> 00:20:15,050 +dimmed. So illuminated is not enough, it is not + +307 +00:20:15,050 --> 00:20:17,350 +enough that it is dimmed, it must be reflected + +308 +00:20:17,350 --> 00:20:20,030 +Reflected so that the light that falls on it + +309 +00:20:20,030 --> 00:20:23,530 +reflects from his body towards the mirror or + +310 +00:20:23,530 --> 00:20:26,250 +towards the lens or towards any optical system. + +311 +00:20:26,250 --> 00:20:31,010 +What is our proof of that? A person walks in the + +312 +00:20:31,010 --> 00:20:35,730 +market in front of a storefront glass, very clean, + +313 +00:20:36,490 --> 00:20:39,170 +very shiny, sometimes you imagine that the glass + +314 +00:20:39,170 --> 00:20:43,570 +is not there. So what happened? What happened is + +315 +00:20:43,570 --> 00:20:46,770 +that the light of the sun or of the day fell on + +316 +00:20:46,770 --> 00:20:50,790 +the clean, shiny glass and so on and pierced it + +317 +00:20:50,790 --> 00:20:55,250 +and nothing was reflected from it. هذا الجزاز اللي + +318 +00:20:55,250 --> 00:20:58,930 +مانعكسش منه أي شيء لما أنا بتطلع بعيني مانعكس من + +319 +00:20:58,930 --> 00:21:02,770 +الجزاز، من واجهة الزجاجية أو من اللوح الجزاز، + +320 +00:21:02,770 --> 00:21:06,730 +مانعكس باتجاه عيني، فهتخيل أنه مافيش حاجة عشان + +321 +00:21:06,730 --> 00:21:10,130 +أشوف الجزاز لازم يعكس جزء من الأشعة اللي اخترقته، + +322 +00:21:10,130 --> 00:21:13,870 +يعكس جزء ولو بسيط باتجاه عيني عشان أشعر أنه فيه + +323 +00:21:13,870 --> 00:21:18,590 +جزاز موجود. وبالتالي ضروري جدا الجسم إما يكون مضيق + +324 +00:21:18,590 --> 00:21:22,410 +بذاته أو مضاء وعاكس أو مضاء وعاكس. + +325 +00:21:25,290 --> 00:21:27,730 +The properties of objects have two properties, + +326 +00:21:28,270 --> 00:21:32,450 +location and luminosity. Location is its location + +327 +00:21:32,450 --> 00:21:36,960 +for the optical system. For the optical system, for + +328 +00:21:36,960 --> 00:21:40,200 +the camera, or the camera machine, which is the + +329 +00:21:40,200 --> 00:21:43,320 +lens, or the pinhole, or the mirror, or whatever. + +330 +00:21:43,320 --> 00:21:46,960 +So location is the first attribute I describe the + +331 +00:21:46,960 --> 00:21:48,900 +object in, the second attribute is luminosity, I + +332 +00:21:48,900 --> 00:21:53,820 +want to say that the body is distracted by itself, + +333 +00:21:54,620 --> 00:21:57,040 +or I say distracted and opposite, that's how I + +334 +00:21:57,040 --> 00:22:00,760 +make a complete description of the object. We come + +335 +00:22:00,760 --> 00:22:04,800 +here and apply these words to the drawing. Here we + +336 +00:22:04,800 --> 00:22:07,520 +say if I want to talk about the object, which is + +337 +00:22:07,520 --> 00:22:09,980 +the candle, I say .. let's talk about the flame of + +338 +00:22:09,980 --> 00:22:11,520 +the candle and forget about the body of the + +339 +00:22:11,520 --> 00:22:14,080 +candle, we say .. the flame of the candle as a + +340 +00:22:14,080 --> 00:22:18,380 +body is narrowed by itself, this is one thing. The + +341 +00:22:18,380 --> 00:22:20,340 +second thing is that it is away from the optical + +342 +00:22:20,340 --> 00:22:24,200 +system 20 centimeters. Okay, let's talk only about + +343 +00:22:24,200 --> 00:22:26,800 +the body of the candle. We say .. the body of the + +344 +00:22:26,800 --> 00:22:28,420 +candle, the first attribute is away from 20 + +345 +00:22:28,420 --> 00:22:31,790 +centimeters طلب لها بالشمع عشرين صنطي، هذا أيضا + +346 +00:22:31,790 --> 00:22:35,390 +عشرين صنطي، اذا في الموقع التانين، نفرض هدول جسمين + +347 +00:22:35,390 --> 00:22:39,830 +مختلفين، نفرض جدلا ان هدول جسمين مختلفين، هذا مضيق + +348 +00:22:39,830 --> 00:22:45,510 +بذاته يبعد عشرين صنطي، هذا أيضا يبعد عشرين صنطي، + +349 +00:22:45,510 --> 00:22:50,050 +ولكنه مضاء وعاكس، مضاء وعاكس، اش اللي عرفنا انه + +350 +00:22:50,050 --> 00:22:54,230 +مضاء وعاكس، هتكونله صورة هنا، لو ماتكوناتلوش صورة + +351 +00:22:54,230 --> 00:22:58,860 +هنا، معناته احنا مش شايفينه، طب احنا شايفينه. Okay, + +352 +00:22:58,900 --> 00:23:01,980 +do you see how we forget this optical system? We + +353 +00:23:01,980 --> 00:23:04,160 +look at it with our eyes, and our eyes also have + +354 +00:23:04,160 --> 00:23:06,280 +another optical system, other than this optical + +355 +00:23:06,280 --> 00:23:09,120 +system. As long as we see it with our eyes, it + +356 +00:23:09,120 --> 00:23:12,240 +means it fell on the body of the candle and + +357 +00:23:12,240 --> 00:23:14,820 +reflected towards the eye, the eye has an optical + +358 +00:23:14,820 --> 00:23:17,600 +system, the cornea and the lens, okay? And what is + +359 +00:23:17,600 --> 00:23:22,150 +the reception paper for the eye? اللي هي الشبكية, + +360 +00:23:22,450 --> 00:23:25,630 +احنا بنحكي عن العين ك optical system بنقصد فيه + +361 +00:23:25,630 --> 00:23:30,310 +القرانية و العدسة اللي هم بيشتغلوا كعدسات بيجمعوا + +362 +00:23:30,310 --> 00:23:35,690 +الإضاءة و الشبكية هي ورقة تلقي لل image و هيك احنا + +363 +00:23:35,690 --> 00:23:39,610 +بنتوقف عند ال image characteristics اللي هنحكي + +364 +00:23:39,610 --> 00:23:42,690 +عنها المرة القادمة و يعطيكوا العافية و السلام + +365 +00:23:42,690 --> 00:23:44,110 +عليكم و رحمة الله وبركاته diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..2010f04d6ae715b33736774b214a6a136d902aa3 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_postprocess.srt @@ -0,0 +1,1460 @@ +1 +00:00:01,890 --> 00:00:06,990 +بسم الله الرحمن الرحيم، مرحبا بيكم في المحاضرة + +2 +00:00:06,990 --> 00:00:11,770 +التالتة من البصريات الأندسية، اتوقفنا عند imaging + +3 +00:00:11,770 --> 00:00:17,850 +with lenses and mirrors، يعني التصوير باستعمال + +4 +00:00:17,850 --> 00:00:23,600 +العدسات أو المرايا ك optical systemsToday we are + +5 +00:00:23,600 --> 00:00:25,800 +going to repeat and repeat the pinhole experiment, + +6 +00:00:26,300 --> 00:00:27,980 +but instead of putting a pinhole, we are going to + +7 +00:00:27,980 --> 00:00:32,660 +put a lens plus 6 diopter or plus 5 diopter. Of + +8 +00:00:32,660 --> 00:00:36,760 +course, this plus 6 is short for the word diopter. + +9 +00:00:37,020 --> 00:00:38,920 +The diopter is a unit of measurement of the power + +10 +00:00:38,920 --> 00:00:43,040 +of the lens. If it is plus, it is a positive lens. + +11 +00:00:43,220 --> 00:00:47,020 +If it is minus, it is a negative lens.So repeat + +12 +00:00:47,020 --> 00:00:50,120 +the pinhole imaging demonstration Let's just + +13 +00:00:50,120 --> 00:00:53,700 +remember the experience of the pinhole The + +14 +00:00:53,700 --> 00:01:00,600 +experience of the pinhole is excuse me, + +15 +00:01:01,140 --> 00:01:06,040 +we put a candleand a piece of paper that we use to + +16 +00:01:06,040 --> 00:01:10,240 +make holes in the pinhole and there's a receipt + +17 +00:01:10,240 --> 00:01:12,180 +paper here, it's not written of course, but here + +18 +00:01:12,180 --> 00:01:15,900 +it's a upside down picture of the candle's flame, + +19 +00:01:16,060 --> 00:01:18,740 +of the candle's flame Of course, we .. the only + +20 +00:01:18,740 --> 00:01:20,540 +thing that we're going to change is that instead + +21 +00:01:20,540 --> 00:01:23,280 +of the pinhole, the candle will remain a candle + +22 +00:01:23,280 --> 00:01:25,620 +and the receipt paper that we're going to print on + +23 +00:01:25,620 --> 00:01:29,670 +it will remain the sameبس هنشيل ورقة القصدير و + +24 +00:01:29,670 --> 00:01:35,750 +نستبدلها بعدسة عشان نشوف هل نحصل على صورة أفضل من + +25 +00:01:35,750 --> 00:01:39,630 +ال pinhole ولا على نفس الوضع، اذا repeat the + +26 +00:01:39,630 --> 00:01:45,400 +pinhole imaging demonstrationbut replace with plus + +27 +00:01:45,400 --> 00:01:50,020 +6 diopter spherical trial lens and note the + +28 +00:01:50,020 --> 00:01:56,700 +improvement in the image vary + +29 +00:01:56,700 --> 00:02:00,300 +the + +30 +00:02:00,300 --> 00:02:04,440 +distances among the candle lens and paper and + +31 +00:02:04,440 --> 00:02:07,300 +observe the variety of different image + +32 +00:02:07,300 --> 00:02:11,120 +characteristics that can be obtainedيعني لو غيرنا + +33 +00:02:11,120 --> 00:02:16,380 +المسافة بين الشمعة و العدسة و ورقة التلقي، اللي ال + +34 +00:02:16,380 --> 00:02:20,080 +candle و ال lens و ال paper، هنلاحظ أنه تغيرت + +35 +00:02:20,080 --> 00:02:27,240 +الصفات بتاعة الصورةيعني بتغير هذه المسافات يعني + +36 +00:02:27,240 --> 00:02:30,480 +الصورة مرة كبرت مرة صغرت مرة صارت أوضح مرة صارت + +37 +00:02:30,480 --> 00:02:37,520 +أقل وضوحا بس بتظلها دائما و أبدا أوضح بكتير من + +38 +00:02:37,520 --> 00:02:42,470 +الصورة باستخدام ال pinholedifferent lenses provide + +39 +00:02:42,470 --> 00:02:46,230 +an even broader range of images لو انا استخدمت + +40 +00:02:46,230 --> 00:02:50,770 +عدسات تانية غير ال plus 6 plus 5 plus 7 plus 12 + +41 +00:02:50,770 --> 00:02:55,790 +plus 20 plus 1 plus 2 يعني لو غيرت في قوة العدسات + +42 +00:02:55,790 --> 00:03:00,830 +او بمعنى اخر قوة ال optical system هحصل على يعني + +43 +00:03:00,830 --> 00:03:06,040 +صور بصفاتdifferent, but all these pictures will + +44 +00:03:06,040 --> 00:03:11,400 +remain much clearer than if I used pinhole and its + +45 +00:03:11,400 --> 00:03:15,920 +clarity enables us to see it in a way that is very + +46 +00:03:15,920 --> 00:03:17,640 +clear, very clear + +47 +00:03:20,650 --> 00:03:25,510 +This is the drawing that represents or simulates + +48 +00:03:25,510 --> 00:03:28,650 +the experiment that we just talked about which + +49 +00:03:28,650 --> 00:03:30,470 +here is the candle that we will represent with an + +50 +00:03:30,470 --> 00:03:33,250 +arrow This is the lens which is the plus 6 diopter + +51 +00:03:33,250 --> 00:03:36,490 +or any other force And here is the receipt paper, + +52 +00:03:36,590 --> 00:03:39,750 +it is not drawn, but it is drawn that I have + +53 +00:03:39,750 --> 00:03:44,410 +formed a upside down picture of the candle, of the + +54 +00:03:44,410 --> 00:03:49,630 +candle's flame Now we want to do a comparisonwith + +55 +00:03:49,630 --> 00:03:56,490 +the pinhole. The lens allows much more light from + +56 +00:03:56,490 --> 00:04:01,110 +each object point to traverse the lens and + +57 +00:04:01,110 --> 00:04:05,670 +ultimately contribute to theImage. Now if we take + +58 +00:04:05,670 --> 00:04:08,470 +an example or to compare between the picture of + +59 +00:04:08,470 --> 00:04:12,850 +the pinhole and the picture of the lens, we say + +60 +00:04:12,850 --> 00:04:15,390 +that we will take the point which is at the top of + +61 +00:04:15,390 --> 00:04:17,930 +the candlelight, we talked about the point that + +62 +00:04:17,930 --> 00:04:21,770 +spreads hundreds of thousands of raysوفرضنا جدلا + +63 +00:04:21,770 --> 00:04:25,790 +أنه لو قلنا أنه بنطلق من النقطة A فقط، وهذا بنطبق + +64 +00:04:25,790 --> 00:04:30,470 +على كل نقاط ال object، لو بنطلق من النقطة A مليون + +65 +00:04:30,470 --> 00:04:34,570 +شعاع، هيكون نصيب ال pinhole من المليون شعاع مثلا + +66 +00:04:34,570 --> 00:04:40,130 +خمسمائة شعاعخمسمائة شعاع هدول هيتجمعوا ويكونوا + +67 +00:04:40,130 --> 00:04:44,350 +لإيه شرط .. إيه شرطة اللي هي صورة A وقولنا + +68 +00:04:44,350 --> 00:04:49,130 +الخمسمائة شعاع يعتبر عددهم جليل جدا جدا بالنسبة + +69 +00:04:49,130 --> 00:04:52,990 +للمليون شعاع تقريبا نص في الألف عددهم، احنا بنضرب + +70 +00:04:52,990 --> 00:04:56,370 +الأمثلة هاي مش أرقام دقيقة ولكن لتقريب المفهوم + +71 +00:04:56,630 --> 00:05:01,410 +فساعتها A شرطة هتكون أقل وضوحا بكثير من A هذا + +72 +00:05:01,410 --> 00:05:06,070 +الكلام نفسه بدنا نرجع نطبقه على نفس النقطة بس + +73 +00:05:06,070 --> 00:05:10,230 +باستعمال العدسة هاي النقطة A اللي قمة لها بالشامعة + +74 +00:05:10,840 --> 00:05:15,980 +الان انطلق منها مليون شعاع فرضا في جميع الاتجاهات، + +75 +00:05:15,980 --> 00:05:20,340 +يا ترى الأشعع اللي هتدخل في العدسة، الحزمة الكبيرة + +76 +00:05:20,340 --> 00:05:23,460 +جدا هذه اللي هتدخل في العدسة، نفرض انه دخل في + +77 +00:05:23,460 --> 00:05:28,160 +العدسة ميتين ألف شعاع، يعني تقريبا خمس الأشعع اللي + +78 +00:05:28,160 --> 00:05:32,840 +انطلقت، اللي انطلقت من النقطة A، يعني انطلق منها + +79 +00:05:32,840 --> 00:05:37,880 +في جميع الاتجاهات مليون، دخل من المليون ميتين ألف، + +80 +00:05:37,880 --> 00:05:41,910 +يعني الخمسin the lens and these five collected the + +81 +00:05:41,910 --> 00:05:45,750 +lens to form the image of point A which is A + +82 +00:05:45,750 --> 00:05:48,890 +condition of course A condition here took two + +83 +00:05:48,890 --> 00:05:51,570 +hundred thousand rays and A condition in pinhole + +84 +00:05:51,570 --> 00:05:54,590 +took five hundred rays of course the image of the + +85 +00:05:54,590 --> 00:05:58,550 +lens will be much clearer because the lens allows + +86 +00:05:58,550 --> 00:06:03,590 +for a larger quantity or size than the rays in + +87 +00:06:03,590 --> 00:06:10,910 +this B soThe lens allows much more light from each + +88 +00:06:10,910 --> 00:06:13,570 +object point, we talked about the point A, but + +89 +00:06:13,570 --> 00:06:16,810 +this applies to every point in the object, it + +90 +00:06:16,810 --> 00:06:21,490 +allows to traverse the lens and ultimately + +91 +00:06:21,490 --> 00:06:25,040 +contributeto the image is to participate in the + +92 +00:06:25,040 --> 00:06:27,600 +formation of the image. Of course, each point, the + +93 +00:06:27,600 --> 00:06:30,160 +rays emitted from it will form the image of the + +94 +00:06:30,160 --> 00:06:35,420 +point. A set of images of all points equals a + +95 +00:06:35,420 --> 00:06:38,200 +complete image. Generally, in a general picture, + +96 +00:06:38,380 --> 00:06:41,220 +and this is the basis, lenses produce better + +97 +00:06:41,220 --> 00:06:46,920 +images than do pinholes. The lenses give me better + +98 +00:06:46,920 --> 00:06:51,160 +pictures or more quality than pinholes, and for + +99 +00:06:51,160 --> 00:06:55,750 +that reasonThe lenses have been used a lot in our + +100 +00:06:55,750 --> 00:06:58,850 +practical life, and the clearest example of this + +101 +00:06:58,850 --> 00:07:02,090 +is that those who have a visual impairment go and + +102 +00:07:02,090 --> 00:07:06,250 +wear lenses to clarify the image in relation to + +103 +00:07:06,250 --> 00:07:10,500 +them, these are some applicationsmost common in + +104 +00:07:10,500 --> 00:07:14,000 +our practical life, which is the use of glasses, + +105 +00:07:14,220 --> 00:07:16,560 +and there are also other things such as sticky + +106 +00:07:16,560 --> 00:07:21,240 +lenses and so on. Now this picture illustrates the + +107 +00:07:21,240 --> 00:07:25,010 +experience. We fixed the candle.And this is a + +108 +00:07:25,010 --> 00:07:28,270 +candle, this is a lens carrying a carrier, and + +109 +00:07:28,270 --> 00:07:31,370 +this is the receipt paper, we say candle paper or + +110 +00:07:31,370 --> 00:07:36,550 +A4 paper And notice a picture with a candle, with + +111 +00:07:36,550 --> 00:07:40,050 +a very clear candle If we change the distances + +112 +00:07:40,050 --> 00:07:42,590 +between the candle and the lens, which is the + +113 +00:07:42,590 --> 00:07:44,950 +object, and the lens, which is the optical system, + +114 +00:07:45,010 --> 00:07:47,390 +and the receipt paper, which is the receipt of the + +115 +00:07:47,390 --> 00:07:50,870 +image, we get different attributes of the image + +116 +00:07:51,010 --> 00:07:53,350 +once you find the picture bigger, once you find it + +117 +00:07:53,350 --> 00:07:55,910 +smaller, once you find it more focused, more + +118 +00:07:55,910 --> 00:08:00,530 +focused and clear, once you find it less clear. + +119 +00:08:00,850 --> 00:08:03,630 +One can ask what is the source? This is the source + +120 +00:08:03,630 --> 00:08:06,930 +for measuring distances, for measuring distances + +121 +00:08:06,930 --> 00:08:09,810 +and doing calculationsto know the size of the + +122 +00:08:09,810 --> 00:08:12,170 +image and the distance of the image from the + +123 +00:08:12,170 --> 00:08:14,430 +optical system and the distance of the object from + +124 +00:08:14,430 --> 00:08:16,270 +the optical system because these are measurements + +125 +00:08:16,270 --> 00:08:19,810 +that we are going to measure later on So the + +126 +00:08:19,810 --> 00:08:24,650 +lenses experience as an optical system results in + +127 +00:08:24,650 --> 00:08:29,470 +lenses, lenses and also mirrors, these words apply + +128 +00:08:29,470 --> 00:08:33,630 +to mirrors lenses and mirrors make images better + +129 +00:08:33,630 --> 00:08:37,190 +quality and more quality and better than pinhole + +130 +00:08:37,420 --> 00:08:41,900 +والهم استخدامات في حياتنا العملية بشكل كبير، بشكل + +131 +00:08:41,900 --> 00:08:45,720 +كبير طيب، هل العدسات بلا عيوب؟ What are the + +132 +00:08:45,720 --> 00:08:48,880 +disadvantages of lenses? What are the + +133 +00:08:48,880 --> 00:08:54,080 +disadvantages of lenses؟ طبعا في عيب واحد أو عيب + +134 +00:08:54,080 --> 00:08:59,010 +كبير للعدساتانه image only in one location يعني ال + +135 +00:08:59,010 --> 00:09:03,530 +image بتكون واضحة في مسافة معينة لو جدمنا عن هذه + +136 +00:09:03,530 --> 00:09:07,350 +المسافة او بعدنا عن هذه المسافة يعني اتلقينا و + +137 +00:09:07,350 --> 00:09:10,790 +بورقة التلقي يعني نفرض ان الصورة هنا عندى واضحة زى + +138 +00:09:10,790 --> 00:09:15,890 +التجربة بتدلنى لو جدمتلى اربعة خمسة سانتي للامامOr + +139 +00:09:15,890 --> 00:09:21,330 +she moved 4-5 cm back, we find that the picture is + +140 +00:09:21,330 --> 00:09:25,550 +no longer useful in + +141 +00:09:25,550 --> 00:09:30,290 +a practical way For example, a person has ..قصر + +142 +00:09:30,290 --> 00:09:35,130 +نظر درجتين .. قصر نظر درجتين .. لازم يلبس .. لازم + +143 +00:09:35,130 --> 00:09:41,030 +يلبس غالبا عدسة minus 2 عشان الصورة تسير على + +144 +00:09:41,030 --> 00:09:44,730 +الشبكية الشبكية في هذه اللحظة بتكون هي ورقة تلقي + +145 +00:09:44,730 --> 00:09:51,970 +الصورة طب نفرض أنه قرر يلبس مثلا بدل ال minus 2 + +146 +00:09:51,970 --> 00:09:56,280 +length قرر يلبس plus 2Of course, the plus two lens + +147 +00:09:56,280 --> 00:09:59,700 +will form a picture, but this picture is in a + +148 +00:09:59,700 --> 00:10:01,560 +different place from the network location, and + +149 +00:10:01,560 --> 00:10:04,420 +therefore it will feel that things are not clear + +150 +00:10:04,420 --> 00:10:09,860 +to him Why? Because every lens forms a .. if we + +151 +00:10:09,860 --> 00:10:10,960 +establish the circumstances of the experiment, + +152 +00:10:11,060 --> 00:10:12,260 +what are the circumstances of the experiment? That + +153 +00:10:12,260 --> 00:10:17,370 +the object is in the same placeAnd the receipt + +154 +00:10:17,370 --> 00:10:20,630 +paper should be in the same place, but I changed + +155 +00:10:20,630 --> 00:10:23,030 +the power of the lens So that it differs from one + +156 +00:10:23,030 --> 00:10:25,290 +lens to another, we will find that one of the + +157 +00:10:25,290 --> 00:10:28,790 +lenses was clear The picture, and the rest of the + +158 +00:10:28,790 --> 00:10:32,130 +lenses, the pictures are not clear because the + +159 +00:10:32,130 --> 00:10:34,470 +lenses, one of their shortcomings is that they + +160 +00:10:34,470 --> 00:10:39,010 +form a picture in one place Only if I hold the + +161 +00:10:39,010 --> 00:10:41,610 +receipt paper at this place, then the picture will + +162 +00:10:41,610 --> 00:10:43,910 +be clear, I move forward from it or move back from + +163 +00:10:43,910 --> 00:10:47,440 +itSometimes the picture is not clear, while the + +164 +00:10:47,440 --> 00:10:49,660 +pinhole, wherever I want to pick up the picture, + +165 +00:10:50,020 --> 00:10:51,940 +and it is generally the pinhole, the picture is + +166 +00:10:51,940 --> 00:10:54,760 +not clear from its origin, regardless of where I + +167 +00:10:54,760 --> 00:10:58,220 +stood after the pinhole with my pick-up paper + +168 +00:10:58,220 --> 00:11:00,440 +Whether I stood a centimeter, ten centimeters, + +169 +00:11:00,620 --> 00:11:02,540 +meter, half a meter, the picture is not clear in + +170 +00:11:02,540 --> 00:11:06,860 +all cases While in lenses, the picture is clear in + +171 +00:11:06,860 --> 00:11:10,190 +a certain placeAnd this place is what the lens + +172 +00:11:10,190 --> 00:11:14,090 +forms in its image Of course, this place varies + +173 +00:11:14,090 --> 00:11:16,810 +from lens to lens according to the strength of the + +174 +00:11:16,810 --> 00:11:20,750 +lens The mirrors produce images in much the same + +175 +00:11:20,750 --> 00:11:24,870 +way as lenses The mirrors, whether they are level + +176 +00:11:24,870 --> 00:11:27,070 +mirrors, or flat mirrors, or bottom mirrors, make + +177 +00:11:27,070 --> 00:11:29,650 +pictures of the object, which is a candle or + +178 +00:11:29,650 --> 00:11:32,230 +something similar They make pictures in the same + +179 +00:11:32,230 --> 00:11:35,150 +way and with the same idea But the mirrors, we + +180 +00:11:35,150 --> 00:11:37,190 +will delay talking about them for the rest of the + +181 +00:11:37,190 --> 00:11:41,980 +lectureوهنركز غالبا على العدسات وهيجي وقت لل + +182 +00:11:41,980 --> 00:11:47,900 +mirror في المحاضرات الأخيرة Now let's move to + +183 +00:11:47,900 --> 00:11:50,720 +something new that we will get to know that most + +184 +00:11:50,720 --> 00:11:55,090 +optical systems are rotationally symmetricabout + +185 +00:11:55,090 --> 00:11:58,950 +their long axis This axis of symmetry is the + +186 +00:11:58,950 --> 00:12:02,530 +optical axis Although the human eye is not truly + +187 +00:12:02,530 --> 00:12:05,910 +rotationally symmetric, it is nearly symmetric + +188 +00:12:05,910 --> 00:12:12,830 +What does this mean? This means that most of the + +189 +00:12:12,830 --> 00:12:18,010 +optical systemsare rotationally symmetric. This is + +190 +00:12:18,010 --> 00:12:19,930 +an optical system. The lens is considered an + +191 +00:12:19,930 --> 00:12:21,850 +optical system. Why is it considered an optical + +192 +00:12:21,850 --> 00:12:25,950 +system? Because it can form a picture. We said + +193 +00:12:25,950 --> 00:12:28,130 +that anything that can form a picture is an + +194 +00:12:28,130 --> 00:12:35,850 +optical system. Now most optical systems have a + +195 +00:12:35,850 --> 00:12:41,220 +long axisand mostly it has a long axis which is + +196 +00:12:41,220 --> 00:12:47,300 +the line that I'm pointing at this axis, the + +197 +00:12:47,300 --> 00:12:51,120 +points of the optical system around which the axis + +198 +00:12:51,120 --> 00:12:54,400 +rotates are rotationally symmetric which means if + +199 +00:12:54,400 --> 00:12:58,820 +we bring a point C for example below this line in + +200 +00:12:58,820 --> 00:13:02,840 +the drawing about half a centimeter below it and + +201 +00:13:02,840 --> 00:13:07,440 +the point Chalf a centimeter higher and the two + +202 +00:13:07,440 --> 00:13:13,080 +points on our right and the two points on our left + +203 +00:13:13,080 --> 00:13:17,580 +are all half a centimeter away from this long axis + +204 +00:13:17,580 --> 00:13:19,600 +then we will find that these two points are + +205 +00:13:19,600 --> 00:13:22,480 +parallel in the force of the radius of the rays + +206 +00:13:22,480 --> 00:13:27,880 +this axis this axis of symmetry is called the + +207 +00:13:27,880 --> 00:13:30,320 +optical axis + +208 +00:13:33,440 --> 00:13:37,280 +Most optical systems are rotationally symmetric + +209 +00:13:37,280 --> 00:13:39,180 +about their long axis + +210 +00:13:43,390 --> 00:13:46,450 +The eye differs from the human eye in that it is + +211 +00:13:46,450 --> 00:13:49,550 +not a circle that rotates, the eye has an axis, it + +212 +00:13:49,550 --> 00:13:52,710 +has an axis, okay? As an optical system it has an + +213 +00:13:52,710 --> 00:13:57,010 +axis, but we do not find that every point of the + +214 +00:13:57,010 --> 00:14:00,290 +eye as an optical system, we do not find it + +215 +00:14:00,290 --> 00:14:03,450 +symmetric, that is, it can be a point higher than + +216 +00:14:03,450 --> 00:14:05,790 +the axis of the eye by half a centimeter or three + +217 +00:14:05,790 --> 00:14:09,700 +millimeters and another point similar to itBelow + +218 +00:14:09,700 --> 00:14:12,600 +this axis of three millimeters, we may not find + +219 +00:14:12,600 --> 00:14:15,580 +any inequalities in strength, we may find some + +220 +00:14:15,580 --> 00:14:20,220 +difference in their strength as a lens or in + +221 +00:14:20,220 --> 00:14:23,360 +breaking the rays that pass through them But + +222 +00:14:23,360 --> 00:14:26,740 +scientists in geometric optics say it is nearly + +223 +00:14:26,740 --> 00:14:29,980 +symmetric, in other words, we will say that the + +224 +00:14:29,980 --> 00:14:34,300 +eye has a visual axis or optical axis and we deal + +225 +00:14:34,300 --> 00:14:37,180 +with it as if it is a lens exactly like the lenses + +226 +00:14:37,180 --> 00:14:41,040 +in the factorysimplify the matter, for the purpose + +227 +00:14:41,040 --> 00:14:44,140 +of simplifying the matter, then most optical + +228 +00:14:44,140 --> 00:14:47,580 +systems are rotationally symmetric about their + +229 +00:14:47,580 --> 00:14:51,440 +long axis, this axis of symmetry is the optical + +230 +00:14:51,440 --> 00:14:55,160 +axis, although the human eye is not truly + +231 +00:14:55,160 --> 00:14:56,800 +rotationally symmetric, meaning that there are + +232 +00:14:56,800 --> 00:14:59,060 +simple differences in strength, and this is not a + +233 +00:14:59,060 --> 00:15:00,700 +weakness in the human eye, on the contrary, this + +234 +00:15:00,700 --> 00:15:06,540 +is from the wisdom in creation to many things + +235 +00:15:06,540 --> 00:15:10,250 +outside the fieldour lecture, of course, although + +236 +00:15:10,250 --> 00:15:12,950 +it is not truly symmetric, rotationally symmetric, + +237 +00:15:13,070 --> 00:15:17,690 +it is nearly symmetric Now, from now on, from now + +238 +00:15:17,690 --> 00:15:23,550 +on, we will start any topic from the topics of + +239 +00:15:23,550 --> 00:15:28,560 +engineering visionانه نرسم خط مستقيم أفقي و بعدين + +240 +00:15:28,560 --> 00:15:33,660 +نرسم العدسة يعني بيبدأ رسم ال .. المسألة كلها من + +241 +00:15:33,660 --> 00:15:38,140 +رسم ال optical axis برسم ال optical axis، برسم + +242 +00:15:38,140 --> 00:15:41,840 +العدسة، بعدين برسم ال object، بمثل ال object + +243 +00:15:41,840 --> 00:15:45,900 +بساهم، بساهم زي ما انتوا شايفينوأيضا بنمثل ال + +244 +00:15:45,900 --> 00:15:50,740 +image بسهم. طبعا بنرسم ال optical axis ال .. ال .. + +245 +00:15:50,740 --> 00:15:54,940 +ال .. ال object بده يرسم ابتدا من ال optical axis + +246 +00:15:54,940 --> 00:16:00,790 +يعني الشامعة جالسة الآن، جالسةon the optical axis + +247 +00:16:00,790 --> 00:16:04,570 +of the lens, this is the optical axis of the lens, + +248 +00:16:04,710 --> 00:16:06,810 +of the lens, the lens is an optical system and + +249 +00:16:06,810 --> 00:16:10,330 +every optical system or most optical systems have + +250 +00:16:10,330 --> 00:16:13,250 +an optical axis Also the beginning of the drawing + +251 +00:16:13,250 --> 00:16:15,690 +image is from the optical axis, which means this + +252 +00:16:15,690 --> 00:16:18,690 +is a reference lineThis is a reference line, we + +253 +00:16:18,690 --> 00:16:20,670 +will draw on it the object, we will draw on it the + +254 +00:16:20,670 --> 00:16:22,630 +image regardless of whether the image is upside + +255 +00:16:22,630 --> 00:16:27,390 +down or upside down So this is the starting point + +256 +00:16:27,390 --> 00:16:32,790 +of any problem in Geometric Optics Now we want to + +257 +00:16:32,790 --> 00:16:37,260 +start the journey from nowWe have an object and we + +258 +00:16:37,260 --> 00:16:39,680 +want to make a picture of it We have an object and + +259 +00:16:39,680 --> 00:16:41,220 +we want to make a picture of it In order to make a + +260 +00:16:41,220 --> 00:16:43,500 +picture of the object, we need an optical system + +261 +00:16:43,500 --> 00:16:46,700 +We said that there are three elements in our + +262 +00:16:46,700 --> 00:16:49,840 +journey and in our journey, object, which is the + +263 +00:16:49,840 --> 00:16:54,060 +body, optical system, which is the camera, and the + +264 +00:16:54,060 --> 00:16:57,260 +image that we will receive on a receipt paper The + +265 +00:16:57,260 --> 00:16:59,220 +object, we will start talking about the object, + +266 +00:16:59,420 --> 00:17:02,650 +which is the beginning of the journeyThe object + +267 +00:17:02,650 --> 00:17:05,590 +characteristics, the attributes of the object, any + +268 +00:17:05,590 --> 00:17:07,870 +object in the world, when we talk about its + +269 +00:17:07,870 --> 00:17:10,710 +attributes, two or three of its attributes are + +270 +00:17:10,710 --> 00:17:14,570 +important in the science of geometric optics. The + +271 +00:17:14,570 --> 00:17:17,570 +first thing is by location with respect to the + +272 +00:17:17,570 --> 00:17:24,730 +imaging system. I mean, I have this + +273 +00:17:24,730 --> 00:17:28,890 +object, which is a candle, this object, okay, this + +274 +00:17:28,890 --> 00:17:33,650 +objectلما بنقول ما صفات هذا ال object صفتين لا + +275 +00:17:33,650 --> 00:17:37,450 +ثالثة لهم ال location، الموقع، الموقع بالنسبة + +276 +00:17:37,450 --> 00:17:43,590 +لمين؟ بالنسبة لجهاز التصوير، بنقول مثلا ال object + +277 +00:17:43,590 --> 00:17:47,210 +بيبعد عن جهاز التصوير عشرين صنطةor half a meter, + +278 +00:17:47,810 --> 00:17:51,970 +or two meters, or five hundred meters, or three + +279 +00:17:51,970 --> 00:17:54,890 +quarters of a meter, or ten centimeters, or one + +280 +00:17:54,890 --> 00:17:56,430 +centimeter, or five millimeters + +281 +00:18:18,750 --> 00:18:23,530 +It is the location with respect to the imaging + +282 +00:18:23,530 --> 00:18:26,290 +system or the optical system The second + +283 +00:18:26,290 --> 00:18:31,030 +characteristic of objects is luminosity luminosity + +284 +00:18:31,030 --> 00:18:35,470 +if they produce their own light if not, they only + +285 +00:18:35,470 --> 00:18:38,910 +can be imaged if they are reflective and + +286 +00:18:38,910 --> 00:18:42,510 +illuminated We said that objects with respect to + +287 +00:18:42,510 --> 00:18:48,220 +luminosity or the light emitted from themإذا كان + +288 +00:18:48,220 --> 00:18:53,180 +ال object .. الأجسام ككل تنقسم لقسمين، إما produce + +289 +00:18:53,180 --> 00:18:55,980 +their own light، يعني بتصدر ضوءها الذاتي، تلاقي + +290 +00:18:55,980 --> 00:19:00,560 +الشامعة قبل شوية احنا، الشامعة هي نفسها أو لها + +291 +00:19:00,560 --> 00:19:04,820 +بالشامعة .. لها بالشامعة، هو نفسه بيصدر ضوء الخاص، + +292 +00:19:04,820 --> 00:19:09,370 +طيبالان نيجي لجسم الشامعة، جسم الشامعة بيستخدش ضوء + +293 +00:19:09,370 --> 00:19:13,850 +الخاص، بيصبط عليه ضوء الغرفة أو ضوء اللهب أو ضوء + +294 +00:19:13,850 --> 00:19:19,350 +الشمس إلى آخره، و هذا الضوء اللي بيصبط عليه، لازم + +295 +00:19:19,350 --> 00:19:25,690 +جسم الشامعة يعكس الضوء، تمام؟ يعكس الضوء، اذا عشان + +296 +00:19:25,690 --> 00:19:31,420 +أشوف أي object في الدنيالازم يكون إما مضيق بذاته + +297 +00:19:31,420 --> 00:19:35,320 +produce their own light ينتج ضوء خاص بنفسه زي + +298 +00:19:35,320 --> 00:19:40,820 +الشمس زي الشمعة زي النار زي أي إشي مضيقIf not .. + +299 +00:19:40,820 --> 00:19:45,060 +طب إذا هو مش مضيق كيف أنا بقدر أشوفه لازم يكون فيه + +300 +00:19:45,060 --> 00:19:50,940 +صفتين تانيات أول صفة منه illuminated مضاء و + +301 +00:19:50,940 --> 00:19:55,120 +reflective عاكس إيش يعني مضاء و عاكس؟ يعني جسم + +302 +00:19:55,120 --> 00:19:57,960 +الإنسان لما بيقف أمام المرأة و المرأة تعتبر + +303 +00:19:57,960 --> 00:20:01,620 +optical system بدي يسقط عليه ضوء النهار سواء ضوء + +304 +00:20:01,620 --> 00:20:06,440 +غرفة ضوء شمس إلى آخره إذا صار illuminated صار مضاء + +305 +00:20:07,590 --> 00:20:10,870 +not luminous, luminous is dimmed, illuminated is + +306 +00:20:10,870 --> 00:20:15,050 +dimmed So illuminated is not enough, it is not + +307 +00:20:15,050 --> 00:20:17,350 +enough that it is dimmed, it must be reflected + +308 +00:20:17,350 --> 00:20:20,030 +Reflected so that the light that falls on it + +309 +00:20:20,030 --> 00:20:23,530 +reflects from his body towards the mirror or + +310 +00:20:23,530 --> 00:20:26,250 +towards the lens or towards any optical system + +311 +00:20:26,250 --> 00:20:31,010 +What is our proof of that? A person walks in the + +312 +00:20:31,010 --> 00:20:35,730 +market in front of a storefrontglass, very clean, + +313 +00:20:36,490 --> 00:20:39,170 +very shiny, sometimes you imagine that the glass + +314 +00:20:39,170 --> 00:20:43,570 +is not there So what happened? What happened is + +315 +00:20:43,570 --> 00:20:46,770 +that the light of the sun or of the day fell on + +316 +00:20:46,770 --> 00:20:50,790 +the clean, shiny glass and so on and pierced it + +317 +00:20:50,790 --> 00:20:55,250 +and nothing was reflected from itهذا الجزاز اللي + +318 +00:20:55,250 --> 00:20:58,930 +مانعكسش منه أي شيء لما أنا بتطلع بعيني مانعكس من + +319 +00:20:58,930 --> 00:21:02,770 +الجزاز، من واجهة الزجاجية أو من اللوح الجزاز، + +320 +00:21:02,770 --> 00:21:06,730 +مانعكس باتجاه عيني، فهتخيل أنه مافيش حاجة عشان + +321 +00:21:06,730 --> 00:21:10,130 +أشوف الجزاز لازم يعكس جزء من الأشعة اللي اخترقته، + +322 +00:21:10,130 --> 00:21:13,870 +يعكس جزء ولو بسيط باتجاه عيني عشان أشعر أنه فيه + +323 +00:21:13,870 --> 00:21:18,590 +جزاز موجود وبالتالي ضروري جدا الجسم إما يكون مضيق + +324 +00:21:18,590 --> 00:21:22,410 +بذاته أو مضاء وعاكس أو مضاء وعاكس + +325 +00:21:25,290 --> 00:21:27,730 +The properties of objects have two properties, + +326 +00:21:28,270 --> 00:21:32,450 +location and luminosity. Location is its location + +327 +00:21:32,450 --> 00:21:36,960 +for the optical systemFor the optical system, for + +328 +00:21:36,960 --> 00:21:40,200 +the camera, or the camera machine, which is the + +329 +00:21:40,200 --> 00:21:43,320 +lens, or the pinhole, or the mirror, or whatever + +330 +00:21:43,320 --> 00:21:46,960 +So location is the first attribute I describe the + +331 +00:21:46,960 --> 00:21:48,900 +object in, the second attribute is luminosity, I + +332 +00:21:48,900 --> 00:21:53,820 +want to say that the body is distracted by itself, + +333 +00:21:54,620 --> 00:21:57,040 +or I say distracted and opposite, that's how I + +334 +00:21:57,040 --> 00:22:00,760 +make a complete description of the objectWe come + +335 +00:22:00,760 --> 00:22:04,800 +here and apply these words to the drawing. Here we + +336 +00:22:04,800 --> 00:22:07,520 +say if I want to talk about the object, which is + +337 +00:22:07,520 --> 00:22:09,980 +the candle, I say .. let's talk about the flame of + +338 +00:22:09,980 --> 00:22:11,520 +the candle and forget about the body of the + +339 +00:22:11,520 --> 00:22:14,080 +candle, we say .. the flame of the candle as a + +340 +00:22:14,080 --> 00:22:18,380 +body is narrowed by itself, this is one thing. The + +341 +00:22:18,380 --> 00:22:20,340 +second thing is that it is away from the optical + +342 +00:22:20,340 --> 00:22:24,200 +system 20 centimeters. Okay, let's talk only about + +343 +00:22:24,200 --> 00:22:26,800 +the body of the candle. We say .. the body of the + +344 +00:22:26,800 --> 00:22:28,420 +candle, the first attribute is away from 20 + +345 +00:22:28,420 --> 00:22:31,790 +centimetersطلب لها بالشمع عشرين صنطي، هذا أيضا + +346 +00:22:31,790 --> 00:22:35,390 +عشرين صنطي، اذا في الموقع التانين، نفرض هدول جسمين + +347 +00:22:35,390 --> 00:22:39,830 +مختلفين، نفرض جدلا ان هدول جسمين مختلفين، هذا مضيق + +348 +00:22:39,830 --> 00:22:45,510 +بذاته يبعد عشرين صنطي، هذا أيضا يبعد عشرين صنطي، + +349 +00:22:45,510 --> 00:22:50,050 +ولكنه مضاء وعاكس، مضاء وعاكس، اش اللي عرفنا انه + +350 +00:22:50,050 --> 00:22:54,230 +مضاء وعاكس، هتكونله صورة هنا، لو ماتكوناتلوش صورة + +351 +00:22:54,230 --> 00:22:58,860 +هنا، معناته احنا مش شايفينه، طب احنا شايفينهOkay, + +352 +00:22:58,900 --> 00:23:01,980 +do you see how we forget this optical system? We + +353 +00:23:01,980 --> 00:23:04,160 +look at it with our eyes, and our eyes also have + +354 +00:23:04,160 --> 00:23:06,280 +another optical system, other than this optical + +355 +00:23:06,280 --> 00:23:09,120 +system As long as we see it with our eyes, it + +356 +00:23:09,120 --> 00:23:12,240 +means it fell on the body of the candle and + +357 +00:23:12,240 --> 00:23:14,820 +reflected towards the eye, the eye has an optical + +358 +00:23:14,820 --> 00:23:17,600 +system, the cornea and the lens, okay? And what is + +359 +00:23:17,600 --> 00:23:22,150 +the reception paper for the eye?اللي هي الشبكية, + +360 +00:23:22,450 --> 00:23:25,630 +احنا بنحكي عن العين ك optical system بنقصد فيه + +361 +00:23:25,630 --> 00:23:30,310 +القرانية و العدسة اللي هم بيشتغلوا كعدسات بيجمعوا + +362 +00:23:30,310 --> 00:23:35,690 +الإضاءة و الشبكية هي ورقة تلقي لل image و هيك احنا + +363 +00:23:35,690 --> 00:23:39,610 +بنتوقف عند ال image characteristics اللي هنحكي + +364 +00:23:39,610 --> 00:23:42,690 +عنها المرة القادمة و يعطيكوا العافية و السلام + +365 +00:23:42,690 --> 00:23:44,110 +عليكم و رحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..994c26b7013f9176887e4e828ec29253f9b1fdce --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2173, "start": 1.89, "end": 21.73, "text": "بسم الله الرحمن الرحيم، مرحبا بيكم في المحاضرة التالتة من البصريات الأندسية، اتوقفنا عند imaging with lenses and mirrors، يعني التصوير باستعمال العدسات أو المرايا ك optical systems", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 12399, 3714, 2288, 5016, 3555, 995, 4724, 1829, 24793, 8978, 9673, 5016, 46958, 25720, 16712, 6027, 2655, 3660, 9154, 29739, 9381, 16572, 9307, 16247, 41260, 3794, 10632, 12399, 1975, 2655, 30543, 5172, 8315, 43242, 25036, 365, 18059, 293, 24238, 12399, 37495, 22653, 16712, 9381, 2407, 13546, 4724, 995, 14851, 25957, 6027, 18863, 3215, 3794, 9307, 34051, 9673, 23557, 25528, 9122, 20674, 3652], "avg_logprob": -0.12109374648167028, "compression_ratio": 1.5208333333333333, "no_speech_prob": 1.239776611328125e-05, "words": [{"start": 1.89, "end": 2.21, "word": "بسم", "probability": 0.58453369140625}, {"start": 2.21, "end": 2.39, "word": " الله", "probability": 0.95068359375}, {"start": 2.39, "end": 2.75, "word": " الرحمن", "probability": 0.9044596354166666}, {"start": 2.75, "end": 4.27, "word": " الرحيم،", "probability": 0.782684326171875}, {"start": 4.27, "end": 5.01, "word": " مرحبا", "probability": 0.94921875}, {"start": 5.01, "end": 5.55, "word": " بيكم", "probability": 0.9241536458333334}, {"start": 5.55, "end": 6.07, "word": " في", "probability": 0.94921875}, {"start": 6.07, "end": 6.99, "word": " المحاضرة", "probability": 0.9813232421875}, {"start": 6.99, "end": 7.67, "word": " التالتة", "probability": 0.958984375}, {"start": 7.67, "end": 8.25, "word": " من", "probability": 0.99365234375}, {"start": 8.25, "end": 9.29, "word": " البصريات", "probability": 0.991455078125}, {"start": 9.29, "end": 10.57, "word": " الأندسية،", "probability": 0.90625}, {"start": 10.57, "end": 11.09, "word": " اتوقفنا", "probability": 0.8712890625}, {"start": 11.09, "end": 11.35, "word": " عند", "probability": 0.9501953125}, {"start": 11.35, "end": 11.77, "word": " imaging", "probability": 0.8427734375}, {"start": 11.77, "end": 12.17, "word": " with", "probability": 0.92919921875}, {"start": 12.17, "end": 12.73, "word": " lenses", "probability": 0.86376953125}, {"start": 12.73, "end": 13.71, "word": " and", "probability": 0.8349609375}, {"start": 13.71, "end": 15.13, "word": " mirrors،", "probability": 0.73486328125}, {"start": 15.13, "end": 16.11, "word": " يعني", "probability": 0.735107421875}, {"start": 16.11, "end": 16.83, "word": " التصوير", "probability": 0.977783203125}, {"start": 16.83, "end": 17.85, "word": " باستعمال", "probability": 0.984765625}, {"start": 17.85, "end": 18.95, "word": " العدسات", "probability": 0.9820556640625}, {"start": 18.95, "end": 19.21, "word": " أو", "probability": 0.82568359375}, {"start": 19.21, "end": 19.83, "word": " المرايا", "probability": 0.9510091145833334}, {"start": 19.83, "end": 20.39, "word": " ك", "probability": 0.9873046875}, {"start": 20.39, "end": 20.79, "word": " optical", "probability": 0.830078125}, {"start": 20.79, "end": 21.73, "word": " systems", "probability": 0.89208984375}], "temperature": 1.0}, {"id": 2, "seek": 4470, "start": 22.76, "end": 44.7, "text": "Today we are going to repeat and repeat the pinhole experiment, but instead of putting a pinhole, we are going to put a lens plus 6 diopter or plus 5 diopter. 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Of course, each point, the rays emitted from it will form the image of the point. A set of images of all points equals a complete image. Generally, in a general picture, and this is the basis, lenses produce better images than do pinholes. 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Now this picture illustrates the experience. We fixed the candle.", "tokens": [1761, 2689, 294, 527, 8496, 993, 11, 597, 307, 264, 764, 295, 10812, 11, 293, 456, 366, 611, 661, 721, 1270, 382, 14470, 18059, 293, 370, 322, 13, 823, 341, 3036, 41718, 264, 1752, 13, 492, 6806, 264, 17968, 13], "avg_logprob": -0.6154725609756098, "compression_ratio": 1.4057971014492754, "no_speech_prob": 0.0002930164337158203, "words": [{"start": 429.08, "end": 429.76, "word": "most", "probability": 0.1756591796875}, {"start": 429.76, "end": 430.26, "word": " common", "probability": 0.298828125}, {"start": 430.26, "end": 430.5, "word": " in", "probability": 0.334716796875}, {"start": 430.5, "end": 431.7, "word": " our", "probability": 0.8349609375}, {"start": 431.7, "end": 432.5, "word": " practical", "probability": 0.239990234375}, {"start": 432.5, "end": 432.7, "word": " life,", "probability": 0.65625}, {"start": 432.8, "end": 432.86, "word": " which", "probability": 0.66845703125}, {"start": 432.86, "end": 433.0, "word": " is", "probability": 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One can ask what is the source? This is the source for measuring distances, for measuring distances and doing calculations", "tokens": [26015, 291, 915, 264, 3036, 3801, 11, 1564, 291, 915, 309, 4356, 11, 1564, 291, 915, 309, 544, 5178, 11, 544, 5178, 293, 1850, 11, 1564, 291, 915, 309, 1570, 1850, 13, 1485, 393, 1029, 437, 307, 264, 4009, 30, 639, 307, 264, 4009, 337, 13389, 22182, 11, 337, 13389, 22182, 293, 884, 20448], "avg_logprob": -0.45113636905496773, "compression_ratio": 1.9, "no_speech_prob": 5.942583084106445e-05, "words": [{"start": 471.01, "end": 471.47, "word": "once", "probability": 0.54052734375}, {"start": 471.47, "end": 471.73, "word": " you", "probability": 0.3701171875}, {"start": 471.73, "end": 472.13, "word": " find", "probability": 0.404296875}, {"start": 472.13, "end": 472.21, "word": " the", "probability": 0.60205078125}, {"start": 472.21, "end": 472.21, "word": " picture", "probability": 0.3759765625}, {"start": 472.21, "end": 472.65, "word": " bigger,", "probability": 0.7529296875}, 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34, "seek": 71396, "start": 697.76, "end": 713.96, "text": "وهنركز غالبا على العدسات وهيجي وقت لل mirror في المحاضرات الأخيرة Now let's move to something new that we will get to know that most optical systems are rotationally symmetric", "tokens": [2407, 3224, 1863, 31747, 11622, 32771, 6027, 3555, 995, 15844, 18863, 3215, 3794, 9307, 4032, 3224, 1829, 7435, 1829, 4032, 38149, 24976, 8013, 8978, 9673, 5016, 46958, 2288, 9307, 16247, 9778, 48923, 823, 718, 311, 1286, 281, 746, 777, 300, 321, 486, 483, 281, 458, 300, 881, 20674, 3652, 366, 12447, 379, 32330], "avg_logprob": -0.26403357640460684, "compression_ratio": 1.2513966480446927, "no_speech_prob": 4.351139068603516e-06, "words": [{"start": 697.76, "end": 698.56, "word": "وهنركز", "probability": 0.710888671875}, {"start": 698.56, "end": 699.28, "word": " غالبا", "probability": 0.98291015625}, {"start": 699.28, "end": 699.9, "word": " على", "probability": 0.87353515625}, {"start": 699.9, "end": 700.82, "word": " العدسات", 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We look at it with our eyes, and our eyes also have another optical system, other than this optical system As long as we see it with our eyes, it means it fell on the body of the candle and reflected towards the eye, the eye has an optical system, the cornea and the lens, okay? 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{"start": 1417.33, "end": 1417.71, "word": " image", "probability": 0.9306640625}, {"start": 1417.71, "end": 1418.73, "word": " characteristics", "probability": 0.91015625}, {"start": 1418.73, "end": 1419.17, "word": " اللي", "probability": 0.957763671875}, {"start": 1419.17, "end": 1419.61, "word": " هنحكي", "probability": 0.9470703125}, {"start": 1419.61, "end": 1419.83, "word": " عنها", "probability": 0.99462890625}, {"start": 1419.83, "end": 1420.17, "word": " المرة", "probability": 0.96435546875}, {"start": 1420.17, "end": 1420.75, "word": " القادمة", "probability": 0.9905598958333334}, {"start": 1420.75, "end": 1421.19, "word": " و", "probability": 0.8046875}, {"start": 1421.19, "end": 1421.63, "word": " يعطيكوا", "probability": 0.870703125}, {"start": 1421.63, "end": 1422.17, "word": " العافية", "probability": 0.978515625}, {"start": 1422.17, "end": 1422.37, "word": " و", "probability": 0.755859375}, {"start": 1422.37, "end": 1422.69, "word": " السلام", "probability": 0.95849609375}, {"start": 1422.69, "end": 1423.11, "word": " عليكم", "probability": 0.93017578125}, {"start": 1423.11, "end": 1423.23, "word": " و", "probability": 0.998046875}, {"start": 1423.23, "end": 1423.51, "word": " رحمة", "probability": 0.8610026041666666}, {"start": 1423.51, "end": 1423.65, "word": " الله", "probability": 0.96337890625}, {"start": 1423.65, "end": 1424.11, "word": " وبركاته", "probability": 0.87607421875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1424.056625, "duration_after_vad": 1400.3631249999983} \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..2010f04d6ae715b33736774b214a6a136d902aa3 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/3U5GGv7fUMY_raw.srt @@ -0,0 +1,1460 @@ +1 +00:00:01,890 --> 00:00:06,990 +بسم الله الرحمن الرحيم، مرحبا بيكم في المحاضرة + +2 +00:00:06,990 --> 00:00:11,770 +التالتة من البصريات الأندسية، اتوقفنا عند imaging + +3 +00:00:11,770 --> 00:00:17,850 +with lenses and mirrors، يعني التصوير باستعمال + +4 +00:00:17,850 --> 00:00:23,600 +العدسات أو المرايا ك optical systemsToday we are + +5 +00:00:23,600 --> 00:00:25,800 +going to repeat and repeat the pinhole experiment, + +6 +00:00:26,300 --> 00:00:27,980 +but instead of putting a pinhole, we are going to + +7 +00:00:27,980 --> 00:00:32,660 +put a lens plus 6 diopter or plus 5 diopter. Of + +8 +00:00:32,660 --> 00:00:36,760 +course, this plus 6 is short for the word diopter. + +9 +00:00:37,020 --> 00:00:38,920 +The diopter is a unit of measurement of the power + +10 +00:00:38,920 --> 00:00:43,040 +of the lens. If it is plus, it is a positive lens. + +11 +00:00:43,220 --> 00:00:47,020 +If it is minus, it is a negative lens.So repeat + +12 +00:00:47,020 --> 00:00:50,120 +the pinhole imaging demonstration Let's just + +13 +00:00:50,120 --> 00:00:53,700 +remember the experience of the pinhole The + +14 +00:00:53,700 --> 00:01:00,600 +experience of the pinhole is excuse me, + +15 +00:01:01,140 --> 00:01:06,040 +we put a candleand a piece of paper that we use to + +16 +00:01:06,040 --> 00:01:10,240 +make holes in the pinhole and there's a receipt + +17 +00:01:10,240 --> 00:01:12,180 +paper here, it's not written of course, but here + +18 +00:01:12,180 --> 00:01:15,900 +it's a upside down picture of the candle's flame, + +19 +00:01:16,060 --> 00:01:18,740 +of the candle's flame Of course, we .. the only + +20 +00:01:18,740 --> 00:01:20,540 +thing that we're going to change is that instead + +21 +00:01:20,540 --> 00:01:23,280 +of the pinhole, the candle will remain a candle + +22 +00:01:23,280 --> 00:01:25,620 +and the receipt paper that we're going to print on + +23 +00:01:25,620 --> 00:01:29,670 +it will remain the sameبس هنشيل ورقة القصدير و + +24 +00:01:29,670 --> 00:01:35,750 +نستبدلها بعدسة عشان نشوف هل نحصل على صورة أفضل من + +25 +00:01:35,750 --> 00:01:39,630 +ال pinhole ولا على نفس الوضع، اذا repeat the + +26 +00:01:39,630 --> 00:01:45,400 +pinhole imaging demonstrationbut replace with plus + +27 +00:01:45,400 --> 00:01:50,020 +6 diopter spherical trial lens and note the + +28 +00:01:50,020 --> 00:01:56,700 +improvement in the image vary + +29 +00:01:56,700 --> 00:02:00,300 +the + +30 +00:02:00,300 --> 00:02:04,440 +distances among the candle lens and paper and + +31 +00:02:04,440 --> 00:02:07,300 +observe the variety of different image + +32 +00:02:07,300 --> 00:02:11,120 +characteristics that can be obtainedيعني لو غيرنا + +33 +00:02:11,120 --> 00:02:16,380 +المسافة بين الشمعة و العدسة و ورقة التلقي، اللي ال + +34 +00:02:16,380 --> 00:02:20,080 +candle و ال lens و ال paper، هنلاحظ أنه تغيرت + +35 +00:02:20,080 --> 00:02:27,240 +الصفات بتاعة الصورةيعني بتغير هذه المسافات يعني + +36 +00:02:27,240 --> 00:02:30,480 +الصورة مرة كبرت مرة صغرت مرة صارت أوضح مرة صارت + +37 +00:02:30,480 --> 00:02:37,520 +أقل وضوحا بس بتظلها دائما و أبدا أوضح بكتير من + +38 +00:02:37,520 --> 00:02:42,470 +الصورة باستخدام ال pinholedifferent lenses provide + +39 +00:02:42,470 --> 00:02:46,230 +an even broader range of images لو انا استخدمت + +40 +00:02:46,230 --> 00:02:50,770 +عدسات تانية غير ال plus 6 plus 5 plus 7 plus 12 + +41 +00:02:50,770 --> 00:02:55,790 +plus 20 plus 1 plus 2 يعني لو غيرت في قوة العدسات + +42 +00:02:55,790 --> 00:03:00,830 +او بمعنى اخر قوة ال optical system هحصل على يعني + +43 +00:03:00,830 --> 00:03:06,040 +صور بصفاتdifferent, but all these pictures will + +44 +00:03:06,040 --> 00:03:11,400 +remain much clearer than if I used pinhole and its + +45 +00:03:11,400 --> 00:03:15,920 +clarity enables us to see it in a way that is very + +46 +00:03:15,920 --> 00:03:17,640 +clear, very clear + +47 +00:03:20,650 --> 00:03:25,510 +This is the drawing that represents or simulates + +48 +00:03:25,510 --> 00:03:28,650 +the experiment that we just talked about which + +49 +00:03:28,650 --> 00:03:30,470 +here is the candle that we will represent with an + +50 +00:03:30,470 --> 00:03:33,250 +arrow This is the lens which is the plus 6 diopter + +51 +00:03:33,250 --> 00:03:36,490 +or any other force And here is the receipt paper, + +52 +00:03:36,590 --> 00:03:39,750 +it is not drawn, but it is drawn that I have + +53 +00:03:39,750 --> 00:03:44,410 +formed a upside down picture of the candle, of the + +54 +00:03:44,410 --> 00:03:49,630 +candle's flame Now we want to do a comparisonwith + +55 +00:03:49,630 --> 00:03:56,490 +the pinhole. The lens allows much more light from + +56 +00:03:56,490 --> 00:04:01,110 +each object point to traverse the lens and + +57 +00:04:01,110 --> 00:04:05,670 +ultimately contribute to theImage. Now if we take + +58 +00:04:05,670 --> 00:04:08,470 +an example or to compare between the picture of + +59 +00:04:08,470 --> 00:04:12,850 +the pinhole and the picture of the lens, we say + +60 +00:04:12,850 --> 00:04:15,390 +that we will take the point which is at the top of + +61 +00:04:15,390 --> 00:04:17,930 +the candlelight, we talked about the point that + +62 +00:04:17,930 --> 00:04:21,770 +spreads hundreds of thousands of raysوفرضنا جدلا + +63 +00:04:21,770 --> 00:04:25,790 +أنه لو قلنا أنه بنطلق من النقطة A فقط، وهذا بنطبق + +64 +00:04:25,790 --> 00:04:30,470 +على كل نقاط ال object، لو بنطلق من النقطة A مليون + +65 +00:04:30,470 --> 00:04:34,570 +شعاع، هيكون نصيب ال pinhole من المليون شعاع مثلا + +66 +00:04:34,570 --> 00:04:40,130 +خمسمائة شعاعخمسمائة شعاع هدول هيتجمعوا ويكونوا + +67 +00:04:40,130 --> 00:04:44,350 +لإيه شرط .. إيه شرطة اللي هي صورة A وقولنا + +68 +00:04:44,350 --> 00:04:49,130 +الخمسمائة شعاع يعتبر عددهم جليل جدا جدا بالنسبة + +69 +00:04:49,130 --> 00:04:52,990 +للمليون شعاع تقريبا نص في الألف عددهم، احنا بنضرب + +70 +00:04:52,990 --> 00:04:56,370 +الأمثلة هاي مش أرقام دقيقة ولكن لتقريب المفهوم + +71 +00:04:56,630 --> 00:05:01,410 +فساعتها A شرطة هتكون أقل وضوحا بكثير من A هذا + +72 +00:05:01,410 --> 00:05:06,070 +الكلام نفسه بدنا نرجع نطبقه على نفس النقطة بس + +73 +00:05:06,070 --> 00:05:10,230 +باستعمال العدسة هاي النقطة A اللي قمة لها بالشامعة + +74 +00:05:10,840 --> 00:05:15,980 +الان انطلق منها مليون شعاع فرضا في جميع الاتجاهات، + +75 +00:05:15,980 --> 00:05:20,340 +يا ترى الأشعع اللي هتدخل في العدسة، الحزمة الكبيرة + +76 +00:05:20,340 --> 00:05:23,460 +جدا هذه اللي هتدخل في العدسة، نفرض انه دخل في + +77 +00:05:23,460 --> 00:05:28,160 +العدسة ميتين ألف شعاع، يعني تقريبا خمس الأشعع اللي + +78 +00:05:28,160 --> 00:05:32,840 +انطلقت، اللي انطلقت من النقطة A، يعني انطلق منها + +79 +00:05:32,840 --> 00:05:37,880 +في جميع الاتجاهات مليون، دخل من المليون ميتين ألف، + +80 +00:05:37,880 --> 00:05:41,910 +يعني الخمسin the lens and these five collected the + +81 +00:05:41,910 --> 00:05:45,750 +lens to form the image of point A which is A + +82 +00:05:45,750 --> 00:05:48,890 +condition of course A condition here took two + +83 +00:05:48,890 --> 00:05:51,570 +hundred thousand rays and A condition in pinhole + +84 +00:05:51,570 --> 00:05:54,590 +took five hundred rays of course the image of the + +85 +00:05:54,590 --> 00:05:58,550 +lens will be much clearer because the lens allows + +86 +00:05:58,550 --> 00:06:03,590 +for a larger quantity or size than the rays in + +87 +00:06:03,590 --> 00:06:10,910 +this B soThe lens allows much more light from each + +88 +00:06:10,910 --> 00:06:13,570 +object point, we talked about the point A, but + +89 +00:06:13,570 --> 00:06:16,810 +this applies to every point in the object, it + +90 +00:06:16,810 --> 00:06:21,490 +allows to traverse the lens and ultimately + +91 +00:06:21,490 --> 00:06:25,040 +contributeto the image is to participate in the + +92 +00:06:25,040 --> 00:06:27,600 +formation of the image. Of course, each point, the + +93 +00:06:27,600 --> 00:06:30,160 +rays emitted from it will form the image of the + +94 +00:06:30,160 --> 00:06:35,420 +point. A set of images of all points equals a + +95 +00:06:35,420 --> 00:06:38,200 +complete image. Generally, in a general picture, + +96 +00:06:38,380 --> 00:06:41,220 +and this is the basis, lenses produce better + +97 +00:06:41,220 --> 00:06:46,920 +images than do pinholes. The lenses give me better + +98 +00:06:46,920 --> 00:06:51,160 +pictures or more quality than pinholes, and for + +99 +00:06:51,160 --> 00:06:55,750 +that reasonThe lenses have been used a lot in our + +100 +00:06:55,750 --> 00:06:58,850 +practical life, and the clearest example of this + +101 +00:06:58,850 --> 00:07:02,090 +is that those who have a visual impairment go and + +102 +00:07:02,090 --> 00:07:06,250 +wear lenses to clarify the image in relation to + +103 +00:07:06,250 --> 00:07:10,500 +them, these are some applicationsmost common in + +104 +00:07:10,500 --> 00:07:14,000 +our practical life, which is the use of glasses, + +105 +00:07:14,220 --> 00:07:16,560 +and there are also other things such as sticky + +106 +00:07:16,560 --> 00:07:21,240 +lenses and so on. Now this picture illustrates the + +107 +00:07:21,240 --> 00:07:25,010 +experience. We fixed the candle.And this is a + +108 +00:07:25,010 --> 00:07:28,270 +candle, this is a lens carrying a carrier, and + +109 +00:07:28,270 --> 00:07:31,370 +this is the receipt paper, we say candle paper or + +110 +00:07:31,370 --> 00:07:36,550 +A4 paper And notice a picture with a candle, with + +111 +00:07:36,550 --> 00:07:40,050 +a very clear candle If we change the distances + +112 +00:07:40,050 --> 00:07:42,590 +between the candle and the lens, which is the + +113 +00:07:42,590 --> 00:07:44,950 +object, and the lens, which is the optical system, + +114 +00:07:45,010 --> 00:07:47,390 +and the receipt paper, which is the receipt of the + +115 +00:07:47,390 --> 00:07:50,870 +image, we get different attributes of the image + +116 +00:07:51,010 --> 00:07:53,350 +once you find the picture bigger, once you find it + +117 +00:07:53,350 --> 00:07:55,910 +smaller, once you find it more focused, more + +118 +00:07:55,910 --> 00:08:00,530 +focused and clear, once you find it less clear. + +119 +00:08:00,850 --> 00:08:03,630 +One can ask what is the source? This is the source + +120 +00:08:03,630 --> 00:08:06,930 +for measuring distances, for measuring distances + +121 +00:08:06,930 --> 00:08:09,810 +and doing calculationsto know the size of the + +122 +00:08:09,810 --> 00:08:12,170 +image and the distance of the image from the + +123 +00:08:12,170 --> 00:08:14,430 +optical system and the distance of the object from + +124 +00:08:14,430 --> 00:08:16,270 +the optical system because these are measurements + +125 +00:08:16,270 --> 00:08:19,810 +that we are going to measure later on So the + +126 +00:08:19,810 --> 00:08:24,650 +lenses experience as an optical system results in + +127 +00:08:24,650 --> 00:08:29,470 +lenses, lenses and also mirrors, these words apply + +128 +00:08:29,470 --> 00:08:33,630 +to mirrors lenses and mirrors make images better + +129 +00:08:33,630 --> 00:08:37,190 +quality and more quality and better than pinhole + +130 +00:08:37,420 --> 00:08:41,900 +والهم استخدامات في حياتنا العملية بشكل كبير، بشكل + +131 +00:08:41,900 --> 00:08:45,720 +كبير طيب، هل العدسات بلا عيوب؟ What are the + +132 +00:08:45,720 --> 00:08:48,880 +disadvantages of lenses? What are the + +133 +00:08:48,880 --> 00:08:54,080 +disadvantages of lenses؟ طبعا في عيب واحد أو عيب + +134 +00:08:54,080 --> 00:08:59,010 +كبير للعدساتانه image only in one location يعني ال + +135 +00:08:59,010 --> 00:09:03,530 +image بتكون واضحة في مسافة معينة لو جدمنا عن هذه + +136 +00:09:03,530 --> 00:09:07,350 +المسافة او بعدنا عن هذه المسافة يعني اتلقينا و + +137 +00:09:07,350 --> 00:09:10,790 +بورقة التلقي يعني نفرض ان الصورة هنا عندى واضحة زى + +138 +00:09:10,790 --> 00:09:15,890 +التجربة بتدلنى لو جدمتلى اربعة خمسة سانتي للامامOr + +139 +00:09:15,890 --> 00:09:21,330 +she moved 4-5 cm back, we find that the picture is + +140 +00:09:21,330 --> 00:09:25,550 +no longer useful in + +141 +00:09:25,550 --> 00:09:30,290 +a practical way For example, a person has ..قصر + +142 +00:09:30,290 --> 00:09:35,130 +نظر درجتين .. قصر نظر درجتين .. لازم يلبس .. لازم + +143 +00:09:35,130 --> 00:09:41,030 +يلبس غالبا عدسة minus 2 عشان الصورة تسير على + +144 +00:09:41,030 --> 00:09:44,730 +الشبكية الشبكية في هذه اللحظة بتكون هي ورقة تلقي + +145 +00:09:44,730 --> 00:09:51,970 +الصورة طب نفرض أنه قرر يلبس مثلا بدل ال minus 2 + +146 +00:09:51,970 --> 00:09:56,280 +length قرر يلبس plus 2Of course, the plus two lens + +147 +00:09:56,280 --> 00:09:59,700 +will form a picture, but this picture is in a + +148 +00:09:59,700 --> 00:10:01,560 +different place from the network location, and + +149 +00:10:01,560 --> 00:10:04,420 +therefore it will feel that things are not clear + +150 +00:10:04,420 --> 00:10:09,860 +to him Why? Because every lens forms a .. if we + +151 +00:10:09,860 --> 00:10:10,960 +establish the circumstances of the experiment, + +152 +00:10:11,060 --> 00:10:12,260 +what are the circumstances of the experiment? That + +153 +00:10:12,260 --> 00:10:17,370 +the object is in the same placeAnd the receipt + +154 +00:10:17,370 --> 00:10:20,630 +paper should be in the same place, but I changed + +155 +00:10:20,630 --> 00:10:23,030 +the power of the lens So that it differs from one + +156 +00:10:23,030 --> 00:10:25,290 +lens to another, we will find that one of the + +157 +00:10:25,290 --> 00:10:28,790 +lenses was clear The picture, and the rest of the + +158 +00:10:28,790 --> 00:10:32,130 +lenses, the pictures are not clear because the + +159 +00:10:32,130 --> 00:10:34,470 +lenses, one of their shortcomings is that they + +160 +00:10:34,470 --> 00:10:39,010 +form a picture in one place Only if I hold the + +161 +00:10:39,010 --> 00:10:41,610 +receipt paper at this place, then the picture will + +162 +00:10:41,610 --> 00:10:43,910 +be clear, I move forward from it or move back from + +163 +00:10:43,910 --> 00:10:47,440 +itSometimes the picture is not clear, while the + +164 +00:10:47,440 --> 00:10:49,660 +pinhole, wherever I want to pick up the picture, + +165 +00:10:50,020 --> 00:10:51,940 +and it is generally the pinhole, the picture is + +166 +00:10:51,940 --> 00:10:54,760 +not clear from its origin, regardless of where I + +167 +00:10:54,760 --> 00:10:58,220 +stood after the pinhole with my pick-up paper + +168 +00:10:58,220 --> 00:11:00,440 +Whether I stood a centimeter, ten centimeters, + +169 +00:11:00,620 --> 00:11:02,540 +meter, half a meter, the picture is not clear in + +170 +00:11:02,540 --> 00:11:06,860 +all cases While in lenses, the picture is clear in + +171 +00:11:06,860 --> 00:11:10,190 +a certain placeAnd this place is what the lens + +172 +00:11:10,190 --> 00:11:14,090 +forms in its image Of course, this place varies + +173 +00:11:14,090 --> 00:11:16,810 +from lens to lens according to the strength of the + +174 +00:11:16,810 --> 00:11:20,750 +lens The mirrors produce images in much the same + +175 +00:11:20,750 --> 00:11:24,870 +way as lenses The mirrors, whether they are level + +176 +00:11:24,870 --> 00:11:27,070 +mirrors, or flat mirrors, or bottom mirrors, make + +177 +00:11:27,070 --> 00:11:29,650 +pictures of the object, which is a candle or + +178 +00:11:29,650 --> 00:11:32,230 +something similar They make pictures in the same + +179 +00:11:32,230 --> 00:11:35,150 +way and with the same idea But the mirrors, we + +180 +00:11:35,150 --> 00:11:37,190 +will delay talking about them for the rest of the + +181 +00:11:37,190 --> 00:11:41,980 +lectureوهنركز غالبا على العدسات وهيجي وقت لل + +182 +00:11:41,980 --> 00:11:47,900 +mirror في المحاضرات الأخيرة Now let's move to + +183 +00:11:47,900 --> 00:11:50,720 +something new that we will get to know that most + +184 +00:11:50,720 --> 00:11:55,090 +optical systems are rotationally symmetricabout + +185 +00:11:55,090 --> 00:11:58,950 +their long axis This axis of symmetry is the + +186 +00:11:58,950 --> 00:12:02,530 +optical axis Although the human eye is not truly + +187 +00:12:02,530 --> 00:12:05,910 +rotationally symmetric, it is nearly symmetric + +188 +00:12:05,910 --> 00:12:12,830 +What does this mean? This means that most of the + +189 +00:12:12,830 --> 00:12:18,010 +optical systemsare rotationally symmetric. This is + +190 +00:12:18,010 --> 00:12:19,930 +an optical system. The lens is considered an + +191 +00:12:19,930 --> 00:12:21,850 +optical system. Why is it considered an optical + +192 +00:12:21,850 --> 00:12:25,950 +system? Because it can form a picture. We said + +193 +00:12:25,950 --> 00:12:28,130 +that anything that can form a picture is an + +194 +00:12:28,130 --> 00:12:35,850 +optical system. Now most optical systems have a + +195 +00:12:35,850 --> 00:12:41,220 +long axisand mostly it has a long axis which is + +196 +00:12:41,220 --> 00:12:47,300 +the line that I'm pointing at this axis, the + +197 +00:12:47,300 --> 00:12:51,120 +points of the optical system around which the axis + +198 +00:12:51,120 --> 00:12:54,400 +rotates are rotationally symmetric which means if + +199 +00:12:54,400 --> 00:12:58,820 +we bring a point C for example below this line in + +200 +00:12:58,820 --> 00:13:02,840 +the drawing about half a centimeter below it and + +201 +00:13:02,840 --> 00:13:07,440 +the point Chalf a centimeter higher and the two + +202 +00:13:07,440 --> 00:13:13,080 +points on our right and the two points on our left + +203 +00:13:13,080 --> 00:13:17,580 +are all half a centimeter away from this long axis + +204 +00:13:17,580 --> 00:13:19,600 +then we will find that these two points are + +205 +00:13:19,600 --> 00:13:22,480 +parallel in the force of the radius of the rays + +206 +00:13:22,480 --> 00:13:27,880 +this axis this axis of symmetry is called the + +207 +00:13:27,880 --> 00:13:30,320 +optical axis + +208 +00:13:33,440 --> 00:13:37,280 +Most optical systems are rotationally symmetric + +209 +00:13:37,280 --> 00:13:39,180 +about their long axis + +210 +00:13:43,390 --> 00:13:46,450 +The eye differs from the human eye in that it is + +211 +00:13:46,450 --> 00:13:49,550 +not a circle that rotates, the eye has an axis, it + +212 +00:13:49,550 --> 00:13:52,710 +has an axis, okay? As an optical system it has an + +213 +00:13:52,710 --> 00:13:57,010 +axis, but we do not find that every point of the + +214 +00:13:57,010 --> 00:14:00,290 +eye as an optical system, we do not find it + +215 +00:14:00,290 --> 00:14:03,450 +symmetric, that is, it can be a point higher than + +216 +00:14:03,450 --> 00:14:05,790 +the axis of the eye by half a centimeter or three + +217 +00:14:05,790 --> 00:14:09,700 +millimeters and another point similar to itBelow + +218 +00:14:09,700 --> 00:14:12,600 +this axis of three millimeters, we may not find + +219 +00:14:12,600 --> 00:14:15,580 +any inequalities in strength, we may find some + +220 +00:14:15,580 --> 00:14:20,220 +difference in their strength as a lens or in + +221 +00:14:20,220 --> 00:14:23,360 +breaking the rays that pass through them But + +222 +00:14:23,360 --> 00:14:26,740 +scientists in geometric optics say it is nearly + +223 +00:14:26,740 --> 00:14:29,980 +symmetric, in other words, we will say that the + +224 +00:14:29,980 --> 00:14:34,300 +eye has a visual axis or optical axis and we deal + +225 +00:14:34,300 --> 00:14:37,180 +with it as if it is a lens exactly like the lenses + +226 +00:14:37,180 --> 00:14:41,040 +in the factorysimplify the matter, for the purpose + +227 +00:14:41,040 --> 00:14:44,140 +of simplifying the matter, then most optical + +228 +00:14:44,140 --> 00:14:47,580 +systems are rotationally symmetric about their + +229 +00:14:47,580 --> 00:14:51,440 +long axis, this axis of symmetry is the optical + +230 +00:14:51,440 --> 00:14:55,160 +axis, although the human eye is not truly + +231 +00:14:55,160 --> 00:14:56,800 +rotationally symmetric, meaning that there are + +232 +00:14:56,800 --> 00:14:59,060 +simple differences in strength, and this is not a + +233 +00:14:59,060 --> 00:15:00,700 +weakness in the human eye, on the contrary, this + +234 +00:15:00,700 --> 00:15:06,540 +is from the wisdom in creation to many things + +235 +00:15:06,540 --> 00:15:10,250 +outside the fieldour lecture, of course, although + +236 +00:15:10,250 --> 00:15:12,950 +it is not truly symmetric, rotationally symmetric, + +237 +00:15:13,070 --> 00:15:17,690 +it is nearly symmetric Now, from now on, from now + +238 +00:15:17,690 --> 00:15:23,550 +on, we will start any topic from the topics of + +239 +00:15:23,550 --> 00:15:28,560 +engineering visionانه نرسم خط مستقيم أفقي و بعدين + +240 +00:15:28,560 --> 00:15:33,660 +نرسم العدسة يعني بيبدأ رسم ال .. المسألة كلها من + +241 +00:15:33,660 --> 00:15:38,140 +رسم ال optical axis برسم ال optical axis، برسم + +242 +00:15:38,140 --> 00:15:41,840 +العدسة، بعدين برسم ال object، بمثل ال object + +243 +00:15:41,840 --> 00:15:45,900 +بساهم، بساهم زي ما انتوا شايفينوأيضا بنمثل ال + +244 +00:15:45,900 --> 00:15:50,740 +image بسهم. طبعا بنرسم ال optical axis ال .. ال .. + +245 +00:15:50,740 --> 00:15:54,940 +ال .. ال object بده يرسم ابتدا من ال optical axis + +246 +00:15:54,940 --> 00:16:00,790 +يعني الشامعة جالسة الآن، جالسةon the optical axis + +247 +00:16:00,790 --> 00:16:04,570 +of the lens, this is the optical axis of the lens, + +248 +00:16:04,710 --> 00:16:06,810 +of the lens, the lens is an optical system and + +249 +00:16:06,810 --> 00:16:10,330 +every optical system or most optical systems have + +250 +00:16:10,330 --> 00:16:13,250 +an optical axis Also the beginning of the drawing + +251 +00:16:13,250 --> 00:16:15,690 +image is from the optical axis, which means this + +252 +00:16:15,690 --> 00:16:18,690 +is a reference lineThis is a reference line, we + +253 +00:16:18,690 --> 00:16:20,670 +will draw on it the object, we will draw on it the + +254 +00:16:20,670 --> 00:16:22,630 +image regardless of whether the image is upside + +255 +00:16:22,630 --> 00:16:27,390 +down or upside down So this is the starting point + +256 +00:16:27,390 --> 00:16:32,790 +of any problem in Geometric Optics Now we want to + +257 +00:16:32,790 --> 00:16:37,260 +start the journey from nowWe have an object and we + +258 +00:16:37,260 --> 00:16:39,680 +want to make a picture of it We have an object and + +259 +00:16:39,680 --> 00:16:41,220 +we want to make a picture of it In order to make a + +260 +00:16:41,220 --> 00:16:43,500 +picture of the object, we need an optical system + +261 +00:16:43,500 --> 00:16:46,700 +We said that there are three elements in our + +262 +00:16:46,700 --> 00:16:49,840 +journey and in our journey, object, which is the + +263 +00:16:49,840 --> 00:16:54,060 +body, optical system, which is the camera, and the + +264 +00:16:54,060 --> 00:16:57,260 +image that we will receive on a receipt paper The + +265 +00:16:57,260 --> 00:16:59,220 +object, we will start talking about the object, + +266 +00:16:59,420 --> 00:17:02,650 +which is the beginning of the journeyThe object + +267 +00:17:02,650 --> 00:17:05,590 +characteristics, the attributes of the object, any + +268 +00:17:05,590 --> 00:17:07,870 +object in the world, when we talk about its + +269 +00:17:07,870 --> 00:17:10,710 +attributes, two or three of its attributes are + +270 +00:17:10,710 --> 00:17:14,570 +important in the science of geometric optics. The + +271 +00:17:14,570 --> 00:17:17,570 +first thing is by location with respect to the + +272 +00:17:17,570 --> 00:17:24,730 +imaging system. I mean, I have this + +273 +00:17:24,730 --> 00:17:28,890 +object, which is a candle, this object, okay, this + +274 +00:17:28,890 --> 00:17:33,650 +objectلما بنقول ما صفات هذا ال object صفتين لا + +275 +00:17:33,650 --> 00:17:37,450 +ثالثة لهم ال location، الموقع، الموقع بالنسبة + +276 +00:17:37,450 --> 00:17:43,590 +لمين؟ بالنسبة لجهاز التصوير، بنقول مثلا ال object + +277 +00:17:43,590 --> 00:17:47,210 +بيبعد عن جهاز التصوير عشرين صنطةor half a meter, + +278 +00:17:47,810 --> 00:17:51,970 +or two meters, or five hundred meters, or three + +279 +00:17:51,970 --> 00:17:54,890 +quarters of a meter, or ten centimeters, or one + +280 +00:17:54,890 --> 00:17:56,430 +centimeter, or five millimeters + +281 +00:18:18,750 --> 00:18:23,530 +It is the location with respect to the imaging + +282 +00:18:23,530 --> 00:18:26,290 +system or the optical system The second + +283 +00:18:26,290 --> 00:18:31,030 +characteristic of objects is luminosity luminosity + +284 +00:18:31,030 --> 00:18:35,470 +if they produce their own light if not, they only + +285 +00:18:35,470 --> 00:18:38,910 +can be imaged if they are reflective and + +286 +00:18:38,910 --> 00:18:42,510 +illuminated We said that objects with respect to + +287 +00:18:42,510 --> 00:18:48,220 +luminosity or the light emitted from themإذا كان + +288 +00:18:48,220 --> 00:18:53,180 +ال object .. الأجسام ككل تنقسم لقسمين، إما produce + +289 +00:18:53,180 --> 00:18:55,980 +their own light، يعني بتصدر ضوءها الذاتي، تلاقي + +290 +00:18:55,980 --> 00:19:00,560 +الشامعة قبل شوية احنا، الشامعة هي نفسها أو لها + +291 +00:19:00,560 --> 00:19:04,820 +بالشامعة .. لها بالشامعة، هو نفسه بيصدر ضوء الخاص، + +292 +00:19:04,820 --> 00:19:09,370 +طيبالان نيجي لجسم الشامعة، جسم الشامعة بيستخدش ضوء + +293 +00:19:09,370 --> 00:19:13,850 +الخاص، بيصبط عليه ضوء الغرفة أو ضوء اللهب أو ضوء + +294 +00:19:13,850 --> 00:19:19,350 +الشمس إلى آخره، و هذا الضوء اللي بيصبط عليه، لازم + +295 +00:19:19,350 --> 00:19:25,690 +جسم الشامعة يعكس الضوء، تمام؟ يعكس الضوء، اذا عشان + +296 +00:19:25,690 --> 00:19:31,420 +أشوف أي object في الدنيالازم يكون إما مضيق بذاته + +297 +00:19:31,420 --> 00:19:35,320 +produce their own light ينتج ضوء خاص بنفسه زي + +298 +00:19:35,320 --> 00:19:40,820 +الشمس زي الشمعة زي النار زي أي إشي مضيقIf not .. + +299 +00:19:40,820 --> 00:19:45,060 +طب إذا هو مش مضيق كيف أنا بقدر أشوفه لازم يكون فيه + +300 +00:19:45,060 --> 00:19:50,940 +صفتين تانيات أول صفة منه illuminated مضاء و + +301 +00:19:50,940 --> 00:19:55,120 +reflective عاكس إيش يعني مضاء و عاكس؟ يعني جسم + +302 +00:19:55,120 --> 00:19:57,960 +الإنسان لما بيقف أمام المرأة و المرأة تعتبر + +303 +00:19:57,960 --> 00:20:01,620 +optical system بدي يسقط عليه ضوء النهار سواء ضوء + +304 +00:20:01,620 --> 00:20:06,440 +غرفة ضوء شمس إلى آخره إذا صار illuminated صار مضاء + +305 +00:20:07,590 --> 00:20:10,870 +not luminous, luminous is dimmed, illuminated is + +306 +00:20:10,870 --> 00:20:15,050 +dimmed So illuminated is not enough, it is not + +307 +00:20:15,050 --> 00:20:17,350 +enough that it is dimmed, it must be reflected + +308 +00:20:17,350 --> 00:20:20,030 +Reflected so that the light that falls on it + +309 +00:20:20,030 --> 00:20:23,530 +reflects from his body towards the mirror or + +310 +00:20:23,530 --> 00:20:26,250 +towards the lens or towards any optical system + +311 +00:20:26,250 --> 00:20:31,010 +What is our proof of that? A person walks in the + +312 +00:20:31,010 --> 00:20:35,730 +market in front of a storefrontglass, very clean, + +313 +00:20:36,490 --> 00:20:39,170 +very shiny, sometimes you imagine that the glass + +314 +00:20:39,170 --> 00:20:43,570 +is not there So what happened? What happened is + +315 +00:20:43,570 --> 00:20:46,770 +that the light of the sun or of the day fell on + +316 +00:20:46,770 --> 00:20:50,790 +the clean, shiny glass and so on and pierced it + +317 +00:20:50,790 --> 00:20:55,250 +and nothing was reflected from itهذا الجزاز اللي + +318 +00:20:55,250 --> 00:20:58,930 +مانعكسش منه أي شيء لما أنا بتطلع بعيني مانعكس من + +319 +00:20:58,930 --> 00:21:02,770 +الجزاز، من واجهة الزجاجية أو من اللوح الجزاز، + +320 +00:21:02,770 --> 00:21:06,730 +مانعكس باتجاه عيني، فهتخيل أنه مافيش حاجة عشان + +321 +00:21:06,730 --> 00:21:10,130 +أشوف الجزاز لازم يعكس جزء من الأشعة اللي اخترقته، + +322 +00:21:10,130 --> 00:21:13,870 +يعكس جزء ولو بسيط باتجاه عيني عشان أشعر أنه فيه + +323 +00:21:13,870 --> 00:21:18,590 +جزاز موجود وبالتالي ضروري جدا الجسم إما يكون مضيق + +324 +00:21:18,590 --> 00:21:22,410 +بذاته أو مضاء وعاكس أو مضاء وعاكس + +325 +00:21:25,290 --> 00:21:27,730 +The properties of objects have two properties, + +326 +00:21:28,270 --> 00:21:32,450 +location and luminosity. Location is its location + +327 +00:21:32,450 --> 00:21:36,960 +for the optical systemFor the optical system, for + +328 +00:21:36,960 --> 00:21:40,200 +the camera, or the camera machine, which is the + +329 +00:21:40,200 --> 00:21:43,320 +lens, or the pinhole, or the mirror, or whatever + +330 +00:21:43,320 --> 00:21:46,960 +So location is the first attribute I describe the + +331 +00:21:46,960 --> 00:21:48,900 +object in, the second attribute is luminosity, I + +332 +00:21:48,900 --> 00:21:53,820 +want to say that the body is distracted by itself, + +333 +00:21:54,620 --> 00:21:57,040 +or I say distracted and opposite, that's how I + +334 +00:21:57,040 --> 00:22:00,760 +make a complete description of the objectWe come + +335 +00:22:00,760 --> 00:22:04,800 +here and apply these words to the drawing. Here we + +336 +00:22:04,800 --> 00:22:07,520 +say if I want to talk about the object, which is + +337 +00:22:07,520 --> 00:22:09,980 +the candle, I say .. let's talk about the flame of + +338 +00:22:09,980 --> 00:22:11,520 +the candle and forget about the body of the + +339 +00:22:11,520 --> 00:22:14,080 +candle, we say .. the flame of the candle as a + +340 +00:22:14,080 --> 00:22:18,380 +body is narrowed by itself, this is one thing. The + +341 +00:22:18,380 --> 00:22:20,340 +second thing is that it is away from the optical + +342 +00:22:20,340 --> 00:22:24,200 +system 20 centimeters. Okay, let's talk only about + +343 +00:22:24,200 --> 00:22:26,800 +the body of the candle. We say .. the body of the + +344 +00:22:26,800 --> 00:22:28,420 +candle, the first attribute is away from 20 + +345 +00:22:28,420 --> 00:22:31,790 +centimetersطلب لها بالشمع عشرين صنطي، هذا أيضا + +346 +00:22:31,790 --> 00:22:35,390 +عشرين صنطي، اذا في الموقع التانين، نفرض هدول جسمين + +347 +00:22:35,390 --> 00:22:39,830 +مختلفين، نفرض جدلا ان هدول جسمين مختلفين، هذا مضيق + +348 +00:22:39,830 --> 00:22:45,510 +بذاته يبعد عشرين صنطي، هذا أيضا يبعد عشرين صنطي، + +349 +00:22:45,510 --> 00:22:50,050 +ولكنه مضاء وعاكس، مضاء وعاكس، اش اللي عرفنا انه + +350 +00:22:50,050 --> 00:22:54,230 +مضاء وعاكس، هتكونله صورة هنا، لو ماتكوناتلوش صورة + +351 +00:22:54,230 --> 00:22:58,860 +هنا، معناته احنا مش شايفينه، طب احنا شايفينهOkay, + +352 +00:22:58,900 --> 00:23:01,980 +do you see how we forget this optical system? We + +353 +00:23:01,980 --> 00:23:04,160 +look at it with our eyes, and our eyes also have + +354 +00:23:04,160 --> 00:23:06,280 +another optical system, other than this optical + +355 +00:23:06,280 --> 00:23:09,120 +system As long as we see it with our eyes, it + +356 +00:23:09,120 --> 00:23:12,240 +means it fell on the body of the candle and + +357 +00:23:12,240 --> 00:23:14,820 +reflected towards the eye, the eye has an optical + +358 +00:23:14,820 --> 00:23:17,600 +system, the cornea and the lens, okay? And what is + +359 +00:23:17,600 --> 00:23:22,150 +the reception paper for the eye?اللي هي الشبكية, + +360 +00:23:22,450 --> 00:23:25,630 +احنا بنحكي عن العين ك optical system بنقصد فيه + +361 +00:23:25,630 --> 00:23:30,310 +القرانية و العدسة اللي هم بيشتغلوا كعدسات بيجمعوا + +362 +00:23:30,310 --> 00:23:35,690 +الإضاءة و الشبكية هي ورقة تلقي لل image و هيك احنا + +363 +00:23:35,690 --> 00:23:39,610 +بنتوقف عند ال image characteristics اللي هنحكي + +364 +00:23:39,610 --> 00:23:42,690 +عنها المرة القادمة و يعطيكوا العافية و السلام + +365 +00:23:42,690 --> 00:23:44,110 +عليكم و رحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4bzN82L3BD0_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4bzN82L3BD0_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..d15187bc47b799ce89d9f3a4fd01372a290789f6 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4bzN82L3BD0_postprocess.srt @@ -0,0 +1,760 @@ +1 +00:00:01,430 --> 00:00:04,870 +بسم الله الرحمن الرحيم عنا مسألة ع موضوع ال + +2 +00:00:04,870 --> 00:00:09,630 +virtual object ع موضوع ال virtual object عندي عدسة + +3 +00:00:09,630 --> 00:00:14,070 +قوتها plus 5 و نص diopter يقف أمامها على الشمال + +4 +00:00:14,070 --> 00:00:17,530 +على بعد عشرين سانتي object first object ريال + +5 +00:00:17,530 --> 00:00:21,640 +objectthen there is a meter with a lens with a + +6 +00:00:21,640 --> 00:00:24,700 +power of plus one diopter which requires the final + +7 +00:00:24,700 --> 00:00:28,160 +image and the total transfer magnification we go + +8 +00:00:28,160 --> 00:00:31,180 +back to our rule, dealing with each lens one by + +9 +00:00:31,180 --> 00:00:36,280 +one dealing with each lens one by one we will + +10 +00:00:36,280 --> 00:00:38,500 +separate this and + +11 +00:00:43,200 --> 00:00:47,820 +We will deal with each lens one by one, we say as + +12 +00:00:47,820 --> 00:00:56,360 +follows Deal + +13 +00:00:56,360 --> 00:01:01,400 +with the first lens, a body 20 cm away from it, + +14 +00:01:01,760 --> 00:01:06,100 +we say U is equal to minus N by O + +15 +00:01:08,850 --> 00:01:13,630 +ليش ناقص لإن الضوء divergent ويساوي ناقص واحد على + +16 +00:01:13,630 --> 00:01:17,470 +العشرين سانتي اللي هي مسافة ال object اللي هي + +17 +00:01:17,470 --> 00:01:22,050 +اتنين من عشرة متر ويساوي + +18 +00:01:22,050 --> 00:01:28,090 +ناقص خمسة والمتر في المقام بيطلع بيصير متر و ناقص + +19 +00:01:28,090 --> 00:01:34,610 +واحد يعني ديوتر إذا ال U ال U ناقص خمسة ديوتر + +20 +00:01:37,010 --> 00:01:41,170 +minus 5 diopter put it on the front surface of the + +21 +00:01:41,170 --> 00:01:46,070 +lens the + +22 +00:01:46,070 --> 00:01:50,350 +light reached a wavelength of 5 diopter wavelength + +23 +00:01:50,350 --> 00:01:54,470 +of 5 diopter the power of the lens is 5.5 how much + +24 +00:01:54,470 --> 00:01:58,250 +power will remain with the lens to collect this + +25 +00:01:58,250 --> 00:02:01,090 +light we will go to the equation of the fin lens + +26 +00:02:01,090 --> 00:02:09,750 +equation which is u plus power equalsthe U minus 5 + +27 +00:02:09,750 --> 00:02:20,030 +diopter and the power plus 5.5 diopter equals + +28 +00:02:20,030 --> 00:02:28,270 +V so V equals plus 0.5 diopter plus 0.5 means it + +29 +00:02:28,270 --> 00:02:32,750 +remains with the lens 0.5 diopterThis plus and a + +30 +00:02:32,750 --> 00:02:34,510 +half means that the light will come out as a + +31 +00:02:34,510 --> 00:02:38,350 +cluster after it was scattered inside in the + +32 +00:02:38,350 --> 00:02:44,050 +amount of plus and a half diodes This is what we + +33 +00:02:44,050 --> 00:02:53,130 +put on the back of the lens Now, + +34 +00:02:53,850 --> 00:02:56,570 +as long as the light is a cluster, thenIt will + +35 +00:02:56,570 --> 00:02:59,250 +give me a real picture. I want to know where the + +36 +00:02:59,250 --> 00:03:03,050 +air is in the vacuum. We say V is equal to + +37 +00:03:03,050 --> 00:03:09,970 +conditional on I So + +38 +00:03:09,970 --> 00:03:19,430 +I is equal to conditional on V And it is equal to + +39 +00:03:19,430 --> 00:03:24,210 +conditional one, we are in the air, on V plus half + +40 +00:03:24,210 --> 00:03:24,830 +a diopter + +41 +00:03:31,360 --> 00:03:37,220 +ويساوي واحد ع plus نص plus اتنين والديوبتر متر او + +42 +00:03:37,220 --> 00:03:41,080 +ناقص واحد في المقام لما بيطلع لفوق بيسير متر اذا + +43 +00:03:41,080 --> 00:03:45,320 +الصورة ع بعد اتنين متر لليمين طالما plus اذا + +44 +00:03:45,320 --> 00:03:49,500 +لليمين من العدسة العدسة مين الأولى احنا بنتعامل مع + +45 +00:03:49,500 --> 00:03:54,300 +العدسة الأولى اذا plus اتنين متر لازم احط موقع + +46 +00:03:54,300 --> 00:03:58,740 +الصورة المسافة بين العدسة الأولى و التانية مترBut + +47 +00:03:58,740 --> 00:04:02,640 +the picture of the first lens is two meters away + +48 +00:04:02,640 --> 00:04:05,040 +from the first lens. So it needs a meter here and + +49 +00:04:05,040 --> 00:04:13,380 +another meter and another meter. So I + +50 +00:04:13,380 --> 00:04:16,820 +will take the picture awayanother meter from the + +51 +00:04:16,820 --> 00:04:19,480 +second lens because it is two meters away from the + +52 +00:04:19,480 --> 00:04:22,580 +first lens and I will flip the picture, why? + +53 +00:04:22,620 --> 00:04:25,980 +because the picture will look twisted as we will + +54 +00:04:25,980 --> 00:04:29,460 +see later if you notice I drew a big picture on + +55 +00:04:29,460 --> 00:04:33,060 +the end we + +56 +00:04:33,060 --> 00:04:37,700 +will know why in a while drawing sometimes helps a + +57 +00:04:37,700 --> 00:04:45,960 +lot in a person to reach a resultهي على بعد متر من + +58 +00:04:45,960 --> 00:04:49,260 +العدسة التانية وعبعد مترين من العدسة الأولى اللى + +59 +00:04:49,260 --> 00:04:52,120 +كونتها هنا واحد متر + +60 +00:04:58,640 --> 00:05:02,240 +we will make the color of the image blue and the + +61 +00:05:02,240 --> 00:05:04,420 +color of the body blue and the lens blue to say + +62 +00:05:04,420 --> 00:05:07,720 +this is the picture of the first lens this is the + +63 +00:05:07,720 --> 00:05:10,800 +picture of the first lens why I drew it in a very + +64 +00:05:10,800 --> 00:05:13,060 +big way we will know from the transference + +65 +00:05:13,060 --> 00:05:15,480 +magnification why it is big and why it is twisted + +66 +00:05:15,480 --> 00:05:21,000 +we say TM1 we + +67 +00:05:21,000 --> 00:05:21,860 +go back to the + +68 +00:05:34,160 --> 00:05:44,200 +TM1 is equal to U over V is equal to U minus 5 + +69 +00:05:44,200 --> 00:05:54,920 +diopter and V plus half diopter is + +70 +00:05:54,920 --> 00:06:00,140 +equal toMinus on plus, of course X because it's + +71 +00:06:00,140 --> 00:06:05,160 +big Minus, minus on plus, minus Five on half, ten + +72 +00:06:05,160 --> 00:06:09,920 +I get X minus ten and the diopter with the diopter + +73 +00:06:09,920 --> 00:06:16,060 +goes Let's give it another color + +74 +00:06:16,060 --> 00:06:21,940 +Let's + +75 +00:06:21,940 --> 00:06:23,280 +say, then + +76 +00:06:29,420 --> 00:06:33,280 +x minus 10, the first picture is bigger than its + +77 +00:06:33,280 --> 00:06:37,100 +body by 10 times and it is upside down compared to + +78 +00:06:37,100 --> 00:06:40,800 +it and it is upside down compared to it we .. the + +79 +00:06:40,800 --> 00:06:43,300 +.. the .. the view is supposed to be handy in the + +80 +00:06:43,300 --> 00:06:52,000 +following way when + +81 +00:06:52,000 --> 00:06:54,060 +I start dealing with each lens one by one + +82 +00:07:09,250 --> 00:07:12,850 +It should look like what we see. It's one lens, + +83 +00:07:13,470 --> 00:07:17,390 +one body and one image. Now that we're done with + +84 +00:07:17,390 --> 00:07:20,870 +the first lens, we want to deal with the second + +85 +00:07:20,870 --> 00:07:21,490 +lens. + +86 +00:07:29,180 --> 00:07:33,220 +this is my second lens and this is my body which + +87 +00:07:33,220 --> 00:07:36,820 +is the first lens image but the light will come + +88 +00:07:36,820 --> 00:07:42,860 +out divergent from the first lens towards the + +89 +00:07:42,860 --> 00:07:48,120 +formation of an image towards + +90 +00:07:48,120 --> 00:07:52,060 +the formation of an image this image before it + +91 +00:07:52,060 --> 00:07:54,700 +catches up it becomes a real image because of the + +92 +00:07:54,700 --> 00:07:59,590 +light because of the v in the plusbecause the V is + +93 +00:07:59,590 --> 00:08:04,430 +in the plus sign Before it was formed here, it + +94 +00:08:04,430 --> 00:08:07,070 +collided in the surface of the other lens and it + +95 +00:08:07,070 --> 00:08:10,250 +is convergent So as long as it is convergent, then + +96 +00:08:10,250 --> 00:08:12,810 +the U is in the plus sign, so the body of this + +97 +00:08:12,810 --> 00:08:16,930 +lens is virtual Why virtual? Because the real body + +98 +00:08:16,930 --> 00:08:20,210 +is alwaysAlways, whether it's a real thing or a + +99 +00:08:20,210 --> 00:08:23,790 +picture taken by a divergent light, if it reaches + +100 +00:08:23,790 --> 00:08:26,870 +the surface in front of the lens, a divergent + +101 +00:08:26,870 --> 00:08:30,530 +light, then the object is real, this lens If it + +102 +00:08:30,530 --> 00:08:32,630 +reaches a convergent light, then the object of + +103 +00:08:32,630 --> 00:08:40,980 +this lensSo the light will reach the + +104 +00:08:40,980 --> 00:08:49,640 +front of the + +105 +00:08:49,640 --> 00:08:53,220 +lens convergent from this body + +106 +00:09:04,430 --> 00:09:10,490 +one plus one equals plus one over one why plus? + +107 +00:09:11,070 --> 00:09:14,550 +because the light is convergent it will clash on + +108 +00:09:14,550 --> 00:09:16,970 +the surface, this is convergent and not divergent + +109 +00:09:16,970 --> 00:09:19,630 +and when the light is convergent, we give it a + +110 +00:09:19,630 --> 00:09:22,030 +plus sign and when it is divergent, we give it a + +111 +00:09:22,030 --> 00:09:28,190 +minus sign we say plus one over the distance of + +112 +00:09:28,190 --> 00:09:30,270 +the object how much? the object of the lens will + +113 +00:09:30,270 --> 00:09:34,360 +have a distance of how much? one meter plus one + +114 +00:09:34,360 --> 00:09:46,120 +meter y + +115 +00:09:46,120 --> 00:09:54,900 +equals plus + +116 +00:09:54,900 --> 00:10:03,930 +one diopter plus one diopterSo, U plus one diode + +117 +00:10:03,930 --> 00:10:11,970 +The + +118 +00:10:11,970 --> 00:10:15,270 +front surface of the lens will light up by + +119 +00:10:15,270 --> 00:10:20,190 +collecting one diode The lens will find a + +120 +00:10:20,190 --> 00:10:23,450 +collector and will put its power with it The + +121 +00:10:23,450 --> 00:10:25,210 +collector of the light will increase in its + +122 +00:10:25,210 --> 00:10:28,310 +collection So, according to the thin lens equation + +123 +00:10:29,300 --> 00:10:36,960 +u plus power equals vthe u plus one diopter plus + +124 +00:10:36,960 --> 00:10:44,360 +the power one diopter equals v so v equals plus + +125 +00:10:44,360 --> 00:10:49,240 +two diopters plus two diopters v equals plus two + +126 +00:10:49,240 --> 00:10:53,360 +diopters now we have to write the back side of the + +127 +00:10:53,360 --> 00:10:57,600 +lens that the light was inside the one diopter + +128 +00:10:57,600 --> 00:10:59,740 +cluster and came out of the two diopters cluster + +129 +00:11:05,770 --> 00:11:07,830 +As long as the light comes out as a cluster, it + +130 +00:11:07,830 --> 00:11:14,730 +will form a real picture Where it is, we say V is + +131 +00:11:14,730 --> 00:11:21,810 +equal to conditional on I So + +132 +00:11:21,810 --> 00:11:29,670 +I is equal to conditional on V And + +133 +00:11:29,670 --> 00:11:38,930 +it is equal to 1 over plus 2 diopterIt is equal to + +134 +00:11:38,930 --> 00:11:43,910 +plus one by two and a half And how can a meter be + +135 +00:11:43,910 --> 00:11:46,510 +minus one when it turns out to be plus half a + +136 +00:11:46,510 --> 00:11:46,770 +meter? + +137 +00:11:50,270 --> 00:11:59,010 +One moment So + +138 +00:11:59,010 --> 00:12:05,230 +plus half a meter This + +139 +00:12:05,230 --> 00:12:06,210 +is the distance of the number image + +140 +00:12:09,220 --> 00:12:13,260 +So it's half a meter away from the lens. We'll + +141 +00:12:13,260 --> 00:12:17,180 +draw it with the yellow color, which is the + +142 +00:12:17,180 --> 00:12:19,620 +picture of the lens, which is the final picture + +143 +00:12:50,220 --> 00:12:55,420 +that's how our final image became complete here + +144 +00:12:55,420 --> 00:13:00,200 +the distance is half meter which + +145 +00:13:00,200 --> 00:13:11,900 +is 50 cm square of + +146 +00:13:11,900 --> 00:13:15,810 +course the imagecommon how common if it is under + +147 +00:13:15,810 --> 00:13:18,090 +the optical lattice? common with respect to its + +148 +00:13:18,090 --> 00:13:21,070 +body this is its body which is the shape of the + +149 +00:13:21,070 --> 00:13:23,450 +first lens let's calculate the second transphase + +150 +00:13:23,450 --> 00:13:36,690 +magnification Tm2 + +151 +00:13:36,690 --> 00:13:41,450 +equals U over V equals + +152 +00:13:42,980 --> 00:13:49,280 +the u plus one is greater than the v plus two is + +153 +00:13:49,280 --> 00:13:56,640 +greater than and equals x plus on plus plus and + +154 +00:13:56,640 --> 00:14:01,780 +one on two and a half x plus half means the + +155 +00:14:01,780 --> 00:14:05,100 +picture is regular like a body the body is going + +156 +00:14:05,100 --> 00:14:07,700 +down so it is regular like it + +157 +00:14:17,130 --> 00:14:22,670 +وجد نص ارتفاع و جد نص ارتفاع Now we have to + +158 +00:14:22,670 --> 00:14:26,830 +calculate the total TM Total + +159 +00:14:45,080 --> 00:14:53,600 +Tm is equal to Tm1 times Tm2 Tm1 minus 10 times + +160 +00:14:53,600 --> 00:15:00,040 +Tm2 plus half is + +161 +00:15:00,040 --> 00:15:09,900 +equal to x minus 5 x minus 5 What does Tm total + +162 +00:15:09,900 --> 00:15:11,360 +mean? x minus 5 + +163 +00:15:20,320 --> 00:15:23,120 +Total x minus 5 is the final picture + +164 +00:15:26,570 --> 00:15:30,110 +Turned upside down for the first object, five + +165 +00:15:30,110 --> 00:15:34,090 +times its height If its height is five, five + +166 +00:15:34,090 --> 00:15:36,870 +centimeters, the final image is twenty-five + +167 +00:15:36,870 --> 00:15:40,350 +centimeters If it is ten centimeters, it is fifty + +168 +00:15:40,350 --> 00:15:42,910 +centimeters, five times the height of the first + +169 +00:15:42,910 --> 00:15:47,610 +body This is how the problem ends If someone asks + +170 +00:15:47,610 --> 00:15:51,730 +me, for example, we have two images and two bodies + +171 +00:15:53,000 --> 00:15:56,120 +الصورة الأولى جسم للعدسة التانية وطبعا و الجسم + +172 +00:15:56,120 --> 00:16:00,580 +الأول ما هو جسم مش صورة الجسم الأول و الجسم التانى + +173 +00:16:00,580 --> 00:16:06,660 +مين فيهم virtual و مين فيهم real بنقول بنطلع على + +174 +00:16:06,660 --> 00:16:11,750 +ال U ال U هنا minus إذا إن هذا الجسم حقيقيالـU هنا + +175 +00:16:11,750 --> 00:16:17,410 +plus معناته هذا الجسم virtual، تخيلي، طيب الصورتين + +176 +00:16:17,410 --> 00:16:21,970 +حقيقيات ولا تخيليات؟ بنبطلع على ال V، إذا ال V في + +177 +00:16:21,970 --> 00:16:24,710 +ال plus، هى ال V بتاعة العدسة الأولى في ال plus، + +178 +00:16:24,710 --> 00:16:28,390 +إذا الصورة الأولى realوال V هنا في ال plus إذا + +179 +00:16:28,390 --> 00:16:33,490 +الصورة هذه أيضا real إذا الصورتين real بس الجسمين + +180 +00:16:33,490 --> 00:16:37,710 +واحد حقيقي واحد تخيلي طيب نيجي نحكي عن الصورة + +181 +00:16:37,710 --> 00:16:41,770 +الأولى هل هي صورة حقيقية؟ أه صورة حقيقية لإن ال V + +182 +00:16:41,770 --> 00:16:46,990 +ال V plus V plus يعني الأشياء هتتجمع إذا هتتجمع في + +183 +00:16:46,990 --> 00:16:51,590 +صورة حقيقية، هاي صورة العدسة الأولىهي صورة حقيقية + +184 +00:16:51,590 --> 00:16:56,090 +و لكنها في نفس الوقت جسم تخيلي، ليش جسم تخيلي؟ لأن + +185 +00:16:56,090 --> 00:17:01,490 +الأشعة اللي رايحة تكون هذه الصورة و هي رايحة و + +186 +00:17:01,490 --> 00:17:04,390 +متجمعة، ضربت في العدسة التانية، إذا هتضرب و هي + +187 +00:17:04,390 --> 00:17:09,390 +متجمعة، مش و هي متفارقة، إذا الصورة الأولى صورة + +188 +00:17:09,390 --> 00:17:14,410 +حقيقية و في نفس الوقت جسم تخيلي، جسم تخيلي، هيك + +189 +00:17:14,410 --> 00:17:17,330 +بتنتهي المسألة و يعطيكم العافية والسلام عليكم + +190 +00:17:17,330 --> 00:17:19,110 +ورحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4iidAXN1jGY_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4iidAXN1jGY_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..10470d6b248ce4444968839765957aaea6caeff3 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4iidAXN1jGY_raw.srt @@ -0,0 +1,2220 @@ +1 +00:00:00,960 --> 00:00:04,500 +بسم الله الرحمن الرحيم، بنكمل مع محاضرات الـ + +2 +00:00:04,500 --> 00:00:09,220 +Geometric Optics واتحدثنا المرة الماضية عن كيف ال + +3 +00:00:09,220 --> 00:00:14,300 +astigmatic lens أو ال spherical lens بتكون صورة + +4 +00:00:14,300 --> 00:00:19,500 +فرقية عبارة عن conoid of a star لكل نقطة من نقاط + +5 +00:00:19,500 --> 00:00:22,940 +ال objectAnd we learned how to determine the first + +6 +00:00:22,940 --> 00:00:25,880 +focal line and the second focal line and the + +7 +00:00:25,880 --> 00:00:30,040 +location of the circle of least confusion Now we + +8 +00:00:30,040 --> 00:00:34,540 +will talk more about the astigmatic lens or the + +9 +00:00:34,540 --> 00:00:37,520 +spherocylindrical lens and we will say why we call + +10 +00:00:37,520 --> 00:00:40,580 +astigmatic lens sometimes or most of the time + +11 +00:00:40,580 --> 00:00:45,100 +spherocylindrical lens First of all, its name + +12 +00:00:45,100 --> 00:00:48,340 +astigmatic lens astigmatic lens means lens that + +13 +00:00:48,340 --> 00:00:51,860 +does not give meit doesn't give me a stigmatic + +14 +00:00:51,860 --> 00:00:55,260 +imaging but the image itself is more stigmatic + +15 +00:00:55,260 --> 00:01:00,500 +because the meridians have different forces but + +16 +00:01:00,500 --> 00:01:04,420 +the difference in force is regular and expected + +17 +00:01:04,420 --> 00:01:07,600 +from a weaker meridian to a stronger meridian and + +18 +00:01:07,600 --> 00:01:09,800 +what's between them is the average force or from a + +19 +00:01:09,800 --> 00:01:13,360 +stronger meridian to a weaker meridian Why did we + +20 +00:01:13,360 --> 00:01:13,540 +name it? + +21 +00:01:23,070 --> 00:01:27,590 +The simplest form of astigmatic lens is a + +22 +00:01:27,590 --> 00:01:29,030 +planocylindrical lens + +23 +00:01:33,860 --> 00:01:37,440 +What gives me Conoid of Sturb is called + +24 +00:01:37,440 --> 00:01:43,340 +Planocylindrical Lens, either Planoplus + +25 +00:01:43,340 --> 00:01:51,240 +or Planominus, as this view shows Let's + +26 +00:01:51,240 --> 00:01:56,220 +go to the magnifying glass This is my Planoconvex, + +27 +00:01:56,580 --> 00:02:01,960 +this is called PlanoplusCurved from one side, this + +28 +00:02:01,960 --> 00:02:04,540 +surface is curved, and the back surface that we + +29 +00:02:04,540 --> 00:02:07,800 +don't see is flat, that's why it's called plano + +30 +00:02:07,800 --> 00:02:12,060 +convex Of course, every cylindrical lens has axis, + +31 +00:02:12,160 --> 00:02:15,660 +it has a vertical axis, as we see in the drawing, + +32 +00:02:15,780 --> 00:02:19,420 +which is the dotted line When you enter the beam + +33 +00:02:19,420 --> 00:02:22,600 +of rays in it, when you enter the beam of rays in + +34 +00:02:22,600 --> 00:02:27,360 +itIt makes focal line, not focal point, focal + +35 +00:02:27,360 --> 00:02:33,840 +line, not focal point, so consequently I have a + +36 +00:02:33,840 --> 00:02:37,500 +focal line, focal line, whether the optical band + +37 +00:02:37,500 --> 00:02:41,200 +came horizontally or vertically, it makes a focal + +38 +00:02:41,200 --> 00:02:48,480 +line, this focal lineالو اتجاه معين في الفرار الو + +39 +00:02:48,480 --> 00:02:51,740 +اتجاه معين في الفرار What is the direction? The + +40 +00:02:51,740 --> 00:02:54,480 +direction is in line with the axis of the cylinder + +41 +00:02:54,480 --> 00:02:58,040 +عمودي على اتجاه قوة السليندر عمودي على اتجاه قوة + +42 +00:02:58,040 --> 00:02:58,220 +السليندر The force of the cylinder is the force of + +43 +00:02:58,220 --> 00:03:00,620 +the cylinder قوة السليندر قوة السليندر The force + +44 +00:03:00,620 --> 00:03:01,040 +of the cylinder is the force of the cylinder يعني + +45 +00:03:01,040 --> 00:03:04,340 +لو جونا جديش القوة على هذا المحور اللي متفق مع ال + +46 +00:03:04,340 --> 00:03:05,080 +axis الصفر يعني if we say how much force is on + +47 +00:03:05,080 --> 00:03:05,080 +this axis which is in line with the axis zero + +48 +00:03:05,080 --> 00:03:08,740 +بينما الانحناع على عمودي while the inclination is + +49 +00:03:08,740 --> 00:03:10,490 +perpendicular to the axison the direction of the + +50 +00:03:10,490 --> 00:03:12,150 +cylinder. The direction of the cylinder here is + +51 +00:03:12,150 --> 00:03:14,590 +vertical, so the force of the cylinder is + +52 +00:03:14,590 --> 00:03:16,570 +horizontal. The force of the cylinder is + +53 +00:03:16,570 --> 00:03:18,490 +horizontal because these rays that come + +54 +00:03:18,490 --> 00:03:22,050 +horizontally are collected in a way .. in a way .. + +55 +00:03:22,050 --> 00:03:25,870 +that is, each horizontal axis acts as if it is a + +56 +00:03:25,870 --> 00:03:28,130 +lens for itself. So this is the horizontal axis. + +57 +00:03:28,410 --> 00:03:31,350 +The beam of the horizontal rays collected the rays + +58 +00:03:31,350 --> 00:03:33,850 +in a point here, the next beam collected it in a + +59 +00:03:33,850 --> 00:03:36,330 +point here, the next beam collected it in a point + +60 +00:03:36,330 --> 00:03:41,310 +hereطبعا هذه الحزم هي أمثلة وإنما مليئة بالحزم + +61 +00:03:41,310 --> 00:03:45,890 +فبالتالي بيصير عندي focal line لو .. لو يعني حبيت + +62 +00:03:45,890 --> 00:03:49,310 +أعرف مكانه في القرار هذا ال focal line هلاحظ أنه + +63 +00:03:49,310 --> 00:03:54,110 +باتجاه ال axis بتاع ال cylinder .. بتجاه ال axis + +64 +00:03:54,110 --> 00:03:57,990 +بتاع ال cylinder فبالتالي هذه القضية بدأتكون + +65 +00:03:57,990 --> 00:03:59,050 +مفهومة هنا + +66 +00:04:04,190 --> 00:04:08,790 +الاشعع اللي دخلت أو حزم الأشعع اللي دخلت .. حزم + +67 +00:04:08,790 --> 00:04:13,230 +الأشعع اللي اتدخلت اتشتتت، اذا الصورة virtual على + +68 +00:04:13,230 --> 00:04:19,130 +امتدادات الأشعع هتعطيني أيضا vertical lineis + +69 +00:04:19,130 --> 00:04:24,150 +aligned with the axis of the cylinder regardless + +70 +00:04:24,150 --> 00:04:27,530 +of whether the pencil of light is horizontal or + +71 +00:04:27,530 --> 00:04:32,090 +vertical as we see in the picture virtual also in + +72 +00:04:32,090 --> 00:04:34,130 +the form of a focal line in the form of a focal + +73 +00:04:34,130 --> 00:04:39,350 +line here is an example of a plano-convex and a + +74 +00:04:39,350 --> 00:04:42,230 +plano-concave cylinder if we took a rectangular + +75 +00:04:42,230 --> 00:04:44,030 +piece of it there would be a surface of it and the + +76 +00:04:44,030 --> 00:04:48,280 +bottom surface is flat and the surfaceبالسطح ال .. + +77 +00:04:48,280 --> 00:04:53,380 +ال .. الأعلى هنا محدد فإذا هي plano convex هنا + +78 +00:04:53,380 --> 00:04:57,280 +plano السطح الأسفل concave plano concave + +79 +00:04:57,280 --> 00:05:01,540 +cylindrical lens طبعا هذه أبسط نوع من الastigmatic + +80 +00:05:01,540 --> 00:05:06,560 +lens طبعا كل astigmatic lens سواء plano cylinder + +81 +00:05:06,560 --> 00:05:09,800 +أو مش plano أو sphero cylinder أو sphero cylinder + +82 +00:05:11,070 --> 00:05:16,610 +It has axis, it has axis, so this axis, this axis, + +83 +00:05:16,910 --> 00:05:19,570 +as I point out here, it comes in length, and here + +84 +00:05:19,570 --> 00:05:22,410 +this axis also comes in length. The force of the + +85 +00:05:22,410 --> 00:05:28,390 +planus cylinderAlong the axis is zero. قوة الـ + +86 +00:05:28,390 --> 00:05:31,890 +planar .. يعني لا تعمل كعدسة، okay؟ إنها صفر، يعني + +87 +00:05:31,890 --> 00:05:35,410 +.. يعني الأشعة .. الأشعة .. لو تصورنا أشعة ضوئية + +88 +00:05:35,410 --> 00:05:38,550 +هتدخل من النقطة هاي ونقطة هاي ونقطة هاي ونقطة هاي + +89 +00:05:38,550 --> 00:05:42,030 +ونقطة هاي، لن يحدث لها شيءOn the other hand, a ray + +90 +00:05:42,030 --> 00:05:46,790 +of light enters vertically towards the axis, this + +91 +00:05:46,790 --> 00:05:48,650 +is what will become either convergence or + +92 +00:05:48,650 --> 00:05:51,290 +divergence, depending on the type of light. If the + +93 +00:05:51,290 --> 00:05:54,890 +light enters in a curve, it will also have a + +94 +00:05:54,890 --> 00:05:55,450 +refraction. + +95 +00:05:58,160 --> 00:06:02,380 +applied to the axis of the cylinder, nothing will + +96 +00:06:02,380 --> 00:06:07,560 +happen to it, nothing will happen to it, so this + +97 +00:06:07,560 --> 00:06:14,600 +is something that we must know, we must know it I + +98 +00:06:14,600 --> 00:06:18,580 +also have an example of that, I also have an + +99 +00:06:18,580 --> 00:06:25,860 +example of that, we want to see the raysthe object + +100 +00:06:25,860 --> 00:06:30,720 +is represented by cross this is object and this is + +101 +00:06:30,720 --> 00:06:36,280 +plano convex cylinder why did they choose cross + +102 +00:06:36,280 --> 00:06:39,260 +object here? because a belt, this horizontal belt + +103 +00:06:39,260 --> 00:06:44,140 +that I'm pointing at will enter the cylinder + +104 +00:06:44,140 --> 00:06:47,700 +aligned to the axis this is the horizontal axis of + +105 +00:06:47,700 --> 00:06:51,580 +the cylinder coming if I go back to draw it to + +106 +00:06:51,580 --> 00:06:52,100 +make it clear + +107 +00:06:55,170 --> 00:06:57,250 +Or let's draw a rectangle in the direction of the + +108 +00:06:57,250 --> 00:07:01,590 +arrow And + +109 +00:07:01,590 --> 00:07:07,110 +adjust it after that This + +110 +00:07:07,110 --> 00:07:09,950 +is the axis of the cylinder This is the axis of + +111 +00:07:09,950 --> 00:07:13,750 +the cylinder So the horizontal axis, let's draw it + +112 +00:07:13,750 --> 00:07:19,850 +reddish And with dotted points To distinguish it + +113 +00:07:19,850 --> 00:07:25,980 +from ... This is the axis of the cylinderWe say + +114 +00:07:25,980 --> 00:07:29,100 +the longitudinal axis to the plano .. to the plano + +115 +00:07:29,100 --> 00:07:32,360 +convex or the cylindrical lens to the plus + +116 +00:07:32,360 --> 00:07:36,160 +cylindrical lens They chose here in this example + +117 +00:07:36,160 --> 00:07:38,940 +that the object should have a cross, why? Because + +118 +00:07:38,940 --> 00:07:43,120 +if someone pushes the cross, the rays from him + +119 +00:07:43,120 --> 00:07:46,280 +will be a horizontal line applied to the + +120 +00:07:46,280 --> 00:07:49,900 +cylindrical lens Let's see what happened here in + +121 +00:07:49,900 --> 00:07:53,640 +the pictureNo matter how big the image is, the + +122 +00:07:53,640 --> 00:07:56,560 +image here is the same size, the same size, the + +123 +00:07:56,560 --> 00:07:58,260 +horizontal arm is the same size, it doesn't have + +124 +00:07:58,260 --> 00:08:00,720 +any refraction It's as if it didn't pass through + +125 +00:08:00,720 --> 00:08:04,460 +the lens because the power of the cylinder at its + +126 +00:08:04,460 --> 00:08:09,950 +axis is zeroWhile the other vertical arm entered + +127 +00:08:09,950 --> 00:08:14,310 +vertically towards the axis of the cylinder So + +128 +00:08:14,310 --> 00:08:17,730 +here the rays started to gather, its shape became + +129 +00:08:17,730 --> 00:08:21,790 +smaller because it became focusing Also again it + +130 +00:08:21,790 --> 00:08:24,210 +became smaller because it gathered more, then it + +131 +00:08:24,210 --> 00:08:26,710 +became point here, became point here The greatest + +132 +00:08:26,710 --> 00:08:30,730 +force of the cylinder in the meridian vertical + +133 +00:08:30,730 --> 00:08:37,010 +axis, in the vertical meridian axisنفس المثال، نفس + +134 +00:08:37,010 --> 00:08:42,290 +المثال، بس على plano concave cylinder، على plano + +135 +00:08:42,290 --> 00:08:48,890 +concave cylinder، ناخد ال axis من هنا، نعمله نسخ، + +136 +00:08:48,890 --> 00:08:54,450 +و هنا نحطله لسخ، + +137 +00:08:54,450 --> 00:08:59,250 +هاي ال axis بتاع ال plano concave cylinder، ال + +138 +00:08:59,250 --> 00:09:04,100 +plano concave cylinder، طيبنمشي مع الذراع الأفقي + +139 +00:09:04,100 --> 00:09:06,980 +لل object ال object عبارة عن ال cross الذراع + +140 +00:09:06,980 --> 00:09:11,820 +الأفقي له دخلت الأشعة منه مطابقة مع ال axis بتاع + +141 +00:09:11,820 --> 00:09:15,860 +ال cylinder وكأنها مادخلتش من أي عدسة طوله واحد + +142 +00:09:15,860 --> 00:09:20,240 +يعني مافي أي مشكلة بينما قوة ال plano concave ال + +143 +00:09:20,240 --> 00:09:24,990 +plano concaveBetshattet, but for it to happen, the + +144 +00:09:24,990 --> 00:09:28,490 +rays must enter from any other area than the axis. + +145 +00:09:28,550 --> 00:09:30,990 +The axis has no pole. The axis has no pole. + +146 +00:09:51,820 --> 00:09:56,740 +الان الذراع العمودي الأشعة منه دخلت عمودي على + +147 +00:09:56,740 --> 00:10:00,540 +اتجاه ال cylinder طالما هذه بتشتت، اذا بده يكبر، + +148 +00:10:00,540 --> 00:10:04,800 +يتشتت، يكبر، يكبر، فبالتالي صارله refraction حتى + +149 +00:10:04,800 --> 00:10:08,920 +لو تشتيت أو تجميع، اذا قوة ال cylinder أو قوة ال + +150 +00:10:08,920 --> 00:10:13,220 +plano cylinder عمودية على ال axis بتاعها طيب، ممكن + +151 +00:10:13,220 --> 00:10:17,080 +انسان يسأل سؤال، طيب عمودية على ال axis بتاعها، + +152 +00:10:17,080 --> 00:10:22,830 +ولكن في نقطة مهمةThis is the axis of the cylinder. + +153 +00:10:23,250 --> 00:10:26,330 +Its force is zero. And my vertical axis is the + +154 +00:10:26,330 --> 00:10:29,410 +full power. What's between them? The power is + +155 +00:10:29,410 --> 00:10:36,010 +gradually decreasing from zero to zero. Here, the + +156 +00:10:36,010 --> 00:10:38,690 +force of the plan and convex cylinder is zero at + +157 +00:10:38,690 --> 00:10:42,390 +this axis. If we move the axis a little, this is + +158 +00:10:42,390 --> 00:10:43,470 +the axis of the cylinder. + +159 +00:10:52,660 --> 00:10:55,880 +Now this axis, if we turn it, if we say how much + +160 +00:10:55,880 --> 00:11:01,280 +force is here? If we move 10 degrees from the axis + +161 +00:11:01,280 --> 00:11:02,860 +of the cylinder, is there force? Yes, there is + +162 +00:11:02,860 --> 00:11:06,100 +force, but it is weak. If we move another 10 + +163 +00:11:06,100 --> 00:11:10,140 +degrees, it starts to be strong. We move 10 + +164 +00:11:10,140 --> 00:11:14,340 +degrees until we reach how much the power of the + +165 +00:11:14,340 --> 00:11:19,540 +cylinder in the meridian perpendicular to the axis + +166 +00:11:19,540 --> 00:11:23,820 +of the cylinder is the maximum power.the maximum + +167 +00:11:23,820 --> 00:11:29,480 +power if someone came and told us that this plus + +168 +00:11:29,480 --> 00:11:33,020 +cylinder or plano convex cylinder has a power of + +169 +00:11:33,020 --> 00:11:47,280 +plus three diopters plus three diopters plus + +170 +00:11:47,280 --> 00:11:49,640 +three diopters I understand from this + +171 +00:11:49,640 --> 00:11:51,180 +automatically we must understand from this + +172 +00:11:51,180 --> 00:11:57,550 +automaticallyWhere is its axis? Its axis is the + +173 +00:11:57,550 --> 00:12:02,370 +blue one, so its force at the axis is zero And the + +174 +00:12:02,370 --> 00:12:04,750 +force will keep decreasing, zero, for example, + +175 +00:12:04,870 --> 00:12:08,550 +plus half, plus one, plus two, one and a half, + +176 +00:12:08,630 --> 00:12:12,170 +plus two, plus two and a half, until we reach the + +177 +00:12:12,170 --> 00:12:14,870 +vertical axis, which will have a force plus three + +178 +00:12:14,870 --> 00:12:20,030 +When we give a force to any astigmatic lensOr any + +179 +00:12:20,030 --> 00:12:24,610 +plano cylindrical, whether plus or minus, we mean + +180 +00:12:24,610 --> 00:12:27,870 +in this force the maximum power in the vertical + +181 +00:12:27,870 --> 00:12:31,580 +axis over its axisThe maximum power in the + +182 +00:12:31,580 --> 00:12:34,720 +vertical axis over its axis. So it is necessary to + +183 +00:12:34,720 --> 00:12:38,020 +understand this issue. When we move away from the + +184 +00:12:38,020 --> 00:12:41,100 +vertical axis over the cylinder axis, the force + +185 +00:12:41,100 --> 00:12:43,800 +decreases and decreases. We get closer to the axis + +186 +00:12:43,800 --> 00:12:47,860 +of the lens. At the axis of the lens, at the + +187 +00:12:47,860 --> 00:12:52,870 +equivalent meridianالمنطبق على ال axis بتاع ال + +188 +00:12:52,870 --> 00:12:56,430 +cylinder القوة صفر، قوة هذه ال cylinder صفر بمعنى + +189 +00:12:56,430 --> 00:13:05,010 +كأنه مش عدسة، كأنه مش عدسة، كأنه مش + +190 +00:13:05,010 --> 00:13:10,850 +عدسة، كأنه مش عدسة، كأنه مش عدسة، كأنه مش عدسة، + +191 +00:13:10,850 --> 00:13:11,670 +كأنه مش عدسة، كأنه مش عدسة، كأنه مش عدسة، كأنه مش + +192 +00:13:11,670 --> 00:13:11,910 +عدسة، كأنه مش عدسة، كأنه مش عدسة، كأنه مش عدسة، + +193 +00:13:11,910 --> 00:13:11,910 +كأنه مش عدسة، كأنه مش عدسة، كأنه مش عدسة، كأنه مش + +194 +00:13:11,910 --> 00:13:16,230 +عدسة، كأنه مش عدسة، كانه مش عدسة، كانه مش عدسة، + +195 +00:13:16,230 --> 00:13:23,670 +كانه مش عدسة، كانis an example of high power + +196 +00:13:23,670 --> 00:13:27,170 +cylindrical or clinically useful cylindrical + +197 +00:13:27,170 --> 00:13:29,570 +leads. This is the Maddox rod. This is the Maddox + +198 +00:13:29,570 --> 00:13:33,030 +rod. There are clearer pictures. This is the + +199 +00:13:33,030 --> 00:13:37,610 +Maddox rod. Each part of these parts, here I am + +200 +00:13:37,610 --> 00:13:41,590 +pointing to a part, here is another part, is a + +201 +00:13:41,590 --> 00:13:45,410 +planoconvex cylinder.Plano, convex, cylinder. The + +202 +00:13:45,410 --> 00:13:48,330 +back surface of Maddox Road is flat because it's + +203 +00:13:48,330 --> 00:13:51,910 +plano. The front surface is slanted because each + +204 +00:13:51,910 --> 00:13:55,930 +one is a plano convex. Plano from behind and from + +205 +00:13:55,930 --> 00:14:00,970 +the front convex as we see. I have a cylinder, + +206 +00:14:01,210 --> 00:14:06,710 +two, three, four, fiveSix, of course, high power. + +207 +00:14:06,830 --> 00:14:10,890 +High power means it can be plus ten, plus fifteen, + +208 +00:14:11,050 --> 00:14:14,390 +etc. Okay? So therefore, of course, here the + +209 +00:14:14,390 --> 00:14:18,130 +letter M stands for Maddox, and this sign, the + +210 +00:14:18,130 --> 00:14:20,870 +black line, stands for the axis of the cylinder. + +211 +00:14:21,010 --> 00:14:24,230 +One axis. Here it is vertical. I can rotate the + +212 +00:14:24,230 --> 00:14:27,650 +Maddox and put it horizontally. Of course, of + +213 +00:14:27,650 --> 00:14:32,920 +courseبعطيني focal line، بعطيني focal line، هذا ال + +214 +00:14:32,920 --> 00:14:36,480 +focal line بيكون عمودي على اتجاه ال cylinder، + +215 +00:14:36,480 --> 00:14:41,660 +عمودي على اتجاه ال cylinder، باتجاهي، لما بمسك ال + +216 +00:14:41,660 --> 00:14:45,900 +Maddox rod بشكل عمودي، بيعطيني خط أفقي، لما بمسك + +217 +00:14:45,900 --> 00:14:49,800 +ال Maddox rod باتجاه أفقي، بيعطيني خط أفقيpoint + +218 +00:14:49,800 --> 00:14:53,640 +source of light. So when I light up a dim point or + +219 +00:14:53,640 --> 00:14:57,760 +a torch or a laser, I see through it the medox, + +220 +00:14:57,880 --> 00:15:01,320 +through the medox that this laser spot turned into + +221 +00:15:01,320 --> 00:15:04,360 +a line when the light passes through the medox, + +222 +00:15:04,420 --> 00:15:09,080 +when the light passes through the medoxالآن احنا + +223 +00:15:09,080 --> 00:15:12,720 +قولنا أبسط شيء Le Plano Convex و Le Plano Concave + +224 +00:15:12,720 --> 00:15:15,840 +او Le Plano Cylinder احنا بدنا شيء مش بسيط، بدنا + +225 +00:15:15,840 --> 00:15:18,760 +شيء أكتر اللي هو Le Sphero Cylinder .. Le Sphero + +226 +00:15:18,760 --> 00:15:22,680 +Cylinder طب .. قبل ما نحكي عن Le Sphero Cylinder + +227 +00:15:22,680 --> 00:15:27,900 +.. Le Plano Cylinder ..بقدر اعتبرها سفير و سلندر + +228 +00:15:27,900 --> 00:15:32,180 +بقوة + +229 +00:15:32,180 --> 00:15:38,900 +السفير فيها صفر بقوة السفير فيها صفر بقوة السفير + +230 +00:15:38,900 --> 00:15:43,140 +فيها صفر بقوة السفير فيها صفر بقوة السفير فيها صفر + +231 +00:15:43,140 --> 00:15:45,960 +بقوة السفير فيها صفر بقوة السفير فيها صفر بقوة + +232 +00:15:45,960 --> 00:15:46,720 +السفير فيها صفر بقوة السفير فيها صفر بقوة السفير + +233 +00:15:46,720 --> 00:15:48,220 +فيها صفر بقوة السفير فيها صفر بقوة السفير فيها صفر + +234 +00:15:48,220 --> 00:15:52,060 +بقوة السفير فيها صفر بقوة السفير فيها صفر بقوة + +235 +00:15:52,060 --> 00:15:52,100 +السفير فيها صفر بقوة السفير فيها صفر بقوة السفير + +236 +00:15:52,100 --> 00:15:54,980 +فيها صفر بقوة السSo, planocylindrical lens is a + +237 +00:15:54,980 --> 00:15:58,960 +kind of sphere and cylindrical lens, but the force + +238 +00:15:58,960 --> 00:16:02,200 +of the sphere is zero, the force of the sphere is + +239 +00:16:02,200 --> 00:16:06,980 +zero, so this case should be clear Now, the + +240 +00:16:06,980 --> 00:16:15,180 +general form of an astigmatic lens, which + +241 +00:16:15,180 --> 00:16:19,400 +is considered a sphere and cylindrical lens + +242 +00:16:23,800 --> 00:16:28,500 +which might be likened to the surface of a curved + +243 +00:16:28,500 --> 00:16:30,280 +barrier or American football. + +244 +00:16:35,340 --> 00:16:44,800 +which is curved football or American football Why + +245 +00:16:44,800 --> 00:16:50,840 +are we here similar to these two things? We want + +246 +00:16:50,840 --> 00:16:54,240 +to say as follows, here there is a curve, but + +247 +00:16:54,240 --> 00:16:57,050 +there is no curve behind itHere there is a curve, + +248 +00:16:57,570 --> 00:17:00,750 +but there is no curve here. If a person stands on + +249 +00:17:00,750 --> 00:17:03,890 +this point, a very small person, a micro-human, + +250 +00:17:04,490 --> 00:17:10,830 +and walks here, he will walk on a flat line. But + +251 +00:17:10,830 --> 00:17:13,670 +if he tries to go right or left, he will slip or + +252 +00:17:13,670 --> 00:17:17,230 +slip, because there is a curve here and a curve + +253 +00:17:17,230 --> 00:17:20,650 +here. The curve has this shape, not this shape. + +254 +00:17:21,570 --> 00:17:27,090 +This has no curve. While here, I have this curved, + +255 +00:17:27,410 --> 00:17:31,250 +these lines. There is a vertical curve and there + +256 +00:17:31,250 --> 00:17:34,450 +is also a horizontal curve. Here, the horizontal + +257 +00:17:34,450 --> 00:17:39,250 +curve is horizontal, not vertical. Not vertical. I + +258 +00:17:39,250 --> 00:17:41,710 +mean, there is a curve in this direction and there + +259 +00:17:41,710 --> 00:17:45,370 +is no curve in this direction. Also for the + +260 +00:17:45,370 --> 00:17:45,910 +concave + +261 +00:17:49,000 --> 00:17:55,940 +لو حد وجف هنا، هنا مافي انحناء، مافي انحناء، لو + +262 +00:17:55,940 --> 00:18:00,180 +جبت كورة معدنية صغيرة وضعتها دي لبلان و concave + +263 +00:18:00,180 --> 00:18:02,780 +cylindrical lens وضعتها على الطاولة و حطيت هي في + +264 +00:18:02,780 --> 00:18:08,110 +النص، مش هتنزلق لا للأمام ولا للخلفBut if you put + +265 +00:18:08,110 --> 00:18:11,690 +it here, it will go down towards the curve. So + +266 +00:18:11,690 --> 00:18:14,230 +here there is a curve, but there is no curve here. + +267 +00:18:14,350 --> 00:18:17,290 +Here is the same thing. Here there is a curve, but + +268 +00:18:17,290 --> 00:18:19,550 +there is no curve here. So this axis does not have + +269 +00:18:19,550 --> 00:18:21,530 +a curve. It does not have a curve because its + +270 +00:18:21,530 --> 00:18:24,230 +force is zero. And here there is no curve because + +271 +00:18:24,230 --> 00:18:28,330 +its force is zero. So it is very important to be + +272 +00:18:28,330 --> 00:18:33,010 +clear about this issue.The sphere and cylindrical + +273 +00:18:33,010 --> 00:18:36,190 +lens of the curve are on two axes. This is the + +274 +00:18:36,190 --> 00:18:40,110 +axis. Here, for the barrel, the vertical axis is + +275 +00:18:40,110 --> 00:18:42,950 +curved and the horizontal axis is curved with a + +276 +00:18:42,950 --> 00:18:45,550 +different curve. That's why the sphere and + +277 +00:18:45,550 --> 00:18:48,190 +cylindrical lens. If this is curved and this is + +278 +00:18:48,190 --> 00:18:50,870 +curved to the same degree, this is a sphere. It + +279 +00:18:50,870 --> 00:18:53,890 +was a whole ball. Here is the same thing. Here is + +280 +00:18:53,890 --> 00:18:56,090 +the same thing. If we imagine this straight line + +281 +00:18:57,910 --> 00:18:59,630 +It's the horizontal meridian. This is the + +282 +00:18:59,630 --> 00:19:04,990 +inclination. This is the inclination. And the + +283 +00:19:04,990 --> 00:19:07,690 +vertical inclination is of course more inclined. + +284 +00:19:08,290 --> 00:19:11,230 +It's more inclined. This is more inclined than + +285 +00:19:11,230 --> 00:19:14,830 +this. So this is similar to the American football. + +286 +00:19:15,210 --> 00:19:17,670 +There is a more obvious example from our general + +287 +00:19:17,670 --> 00:19:25,160 +life.ثمرة الشمام، بس .. بس في ثمار شمام كروية، بس + +288 +00:19:25,160 --> 00:19:28,120 +احنا بنقصد فيها اللي مش كروية، اللي هي ال .. ال .. + +289 +00:19:28,120 --> 00:19:33,480 +ال .. المتمددة قليلة، هنا في انحناع للسطح هذا، + +290 +00:19:33,480 --> 00:19:37,260 +الانحناع ال vertical، بيختلف عن انحناع ال + +291 +00:19:37,260 --> 00:19:41,200 +horizontal، هذا الانحناع ال vertical أكثر تحدبا و + +292 +00:19:41,200 --> 00:19:46,700 +أكثر انحناع من .. لإنه نصف قطره أقل، و هنا أقل + +293 +00:19:46,700 --> 00:19:51,620 +تحدبا لإنه نصف قطره أكترSo this is the general + +294 +00:19:51,620 --> 00:19:54,940 +shape of the astigmatic cervix. In other words, if + +295 +00:19:54,940 --> 00:19:57,720 +you bring a piece of chicken that looks like a + +296 +00:19:57,720 --> 00:20:00,360 +chamomile fruit in this shape, it will be + +297 +00:20:00,360 --> 00:20:03,440 +considered a spherocylindrical lens. Also, the + +298 +00:20:03,440 --> 00:20:08,440 +barrel here shows that there is a horizontal and a + +299 +00:20:08,440 --> 00:20:13,780 +vertical axis. The vertical axis is half its + +300 +00:20:13,780 --> 00:20:18,040 +diameter, R2, which is part of the ball.Horizontal + +301 +00:20:18,040 --> 00:20:22,160 +inclination is a part of another circle. A circle + +302 +00:20:22,160 --> 00:20:27,320 +that is more inclined than half a foot. So the + +303 +00:20:27,320 --> 00:20:30,760 +meridians of the greatest and least curvature and + +304 +00:20:30,760 --> 00:20:33,700 +therefore the meridians of the greatest and least + +305 +00:20:33,700 --> 00:20:38,220 +power of an astigmatic lens are known as the + +306 +00:20:38,220 --> 00:20:41,900 +principal meridians of that service or lens. So I + +307 +00:20:41,900 --> 00:20:46,600 +have this.This is the horizontal meridian. Or + +308 +00:20:46,600 --> 00:20:49,680 +let's go back to here. Here, the meridian has a + +309 +00:20:49,680 --> 00:20:52,480 +steep slope. And here, the meridian has a slope + +310 +00:20:52,480 --> 00:20:55,020 +less than a slope. This is called the principle + +311 +00:20:55,020 --> 00:20:56,900 +meridian and this is called the principle + +312 +00:20:56,900 --> 00:21:00,920 +meridian. In regular astigmatism or in regular + +313 +00:21:00,920 --> 00:21:04,080 +astigmatic service, the two meridians, the + +314 +00:21:04,080 --> 00:21:08,140 +strongest and the weakest, must have a 90 degree + +315 +00:21:08,140 --> 00:21:13,400 +angle between them.Although spherocylindrical lens + +316 +00:21:13,400 --> 00:21:16,800 +may be thought of as the combination of two + +317 +00:21:16,800 --> 00:21:21,300 +planocylindrical or two planocylinders, it is more + +318 +00:21:21,300 --> 00:21:24,560 +convenient to think of it as the combination of a + +319 +00:21:24,560 --> 00:21:27,280 +spherical lens and cylindrical lens. + +320 +00:21:31,930 --> 00:21:35,130 +The astigmatic lens or the spherocylindrical lens + +321 +00:21:35,130 --> 00:21:41,550 +can be imagined to be composed of two cylinders + +322 +00:21:41,550 --> 00:21:45,730 +and these two cylinders are perpendicular to each + +323 +00:21:45,730 --> 00:21:52,130 +other But most commonly it is considered a sphere + +324 +00:21:52,130 --> 00:21:55,610 +with a cylinder Why is this? Why is this? We want + +325 +00:21:55,610 --> 00:21:56,370 +to say as usual + +326 +00:22:02,420 --> 00:22:06,280 +في مثال عندي هنا بيوضح القضية هاي، هاي أنا عندي + +327 +00:22:06,280 --> 00:22:10,760 +cylindrical lensthis cylindrical lens I want to + +328 +00:22:10,760 --> 00:22:13,040 +imagine that each meridian of the meridians that I + +329 +00:22:13,040 --> 00:22:15,500 +have, whether it is aligned with the axis or + +330 +00:22:15,500 --> 00:22:17,600 +perpendicular to the axis or whatever is between + +331 +00:22:17,600 --> 00:22:19,940 +them I want to imagine that they are here and they + +332 +00:22:19,940 --> 00:22:25,360 +represent me as if I have here the meridians of + +333 +00:22:25,360 --> 00:22:28,520 +this lens as if this lens is in the frame of the + +334 +00:22:28,520 --> 00:22:33,600 +glasses and as if I am looking at it directly this + +335 +00:22:33,600 --> 00:22:34,800 +is the axis of 180 + +336 +00:22:37,810 --> 00:22:40,770 +this is the 90 degree angle, this is the 45 degree + +337 +00:22:40,770 --> 00:22:43,190 +angle, and this is the 135 degree angle. Let's + +338 +00:22:43,190 --> 00:22:45,330 +suppose that the axis of the cylinder, which I + +339 +00:22:45,330 --> 00:22:50,630 +drew with the deep yellow color. Let's imagine + +340 +00:22:50,630 --> 00:22:53,330 +that it is shaped like this. It is applied to the + +341 +00:22:53,330 --> 00:22:58,250 +180 degree angle. This is a plane convex lens. + +342 +00:23:00,370 --> 00:23:07,350 +وبدنا نتخيل إنه جاي على الـ 180 ال axis بتاع ال + +343 +00:23:07,350 --> 00:23:12,970 +cylinder هذا بيقدّي إلى إنه، + +344 +00:23:12,970 --> 00:23:15,610 +في هنا بس بدنا نعدّل الرسم شوية + +345 +00:23:36,100 --> 00:23:57,640 +To make the drawing correct We + +346 +00:23:57,640 --> 00:24:00,700 +put the lens in the trial frame in front of the + +347 +00:24:00,700 --> 00:24:04,160 +patient's eyes Its power is plus three diopters We + +348 +00:24:04,160 --> 00:24:12,290 +put it like thisYes, so that its axis in the trial + +349 +00:24:12,290 --> 00:24:17,790 +frame is exactly 180 degrees. So its force on this + +350 +00:24:17,790 --> 00:24:20,290 +axis is zero, because this axis is aligned with + +351 +00:24:20,290 --> 00:24:23,970 +the axis of the cylinder. Okay, we removed it from + +352 +00:24:23,970 --> 00:24:26,410 +the lens bag and its force is plus three. Yes, + +353 +00:24:26,490 --> 00:24:31,210 +plus three will work this lens as plus three on + +354 +00:24:31,210 --> 00:24:34,750 +axis ninety.So you will work on the 90th axis as + +355 +00:24:34,750 --> 00:24:38,570 +plus 3. Okay, the axis next to 90 is less than it. + +356 +00:24:38,870 --> 00:24:41,730 +The axis next to it is less than it, less than it, + +357 +00:24:41,770 --> 00:24:45,430 +less than it. So this lens, which is written on it + +358 +00:24:45,430 --> 00:24:49,750 +plus 3 cylinders, plus 3 diopter cylinders, its + +359 +00:24:49,750 --> 00:24:53,250 +force is plus 3 diopters completely at the 90th + +360 +00:24:53,250 --> 00:24:56,990 +axis. At the axis, for example, 75 can give me two + +361 +00:24:56,990 --> 00:25:00,630 +and a half diopters.قوتها يعني تعمل كعدسة ك .. + +362 +00:25:00,630 --> 00:25:03,830 +قوتها plus two and a half ده يبتدى، عند المحور + +363 +00:25:03,830 --> 00:25:07,330 +خمسة واربعين هتعمل كعدسة plus واحد و نص ده يبتدى، + +364 +00:25:07,330 --> 00:25:10,650 +عند المحور مية و تمانين هتعمل كعدسة صفر ده يبتدى، + +365 +00:25:10,650 --> 00:25:15,690 +يعني كأنها مش موجودة، طيب، إذا هادي العدسة حطيها، + +366 +00:25:15,690 --> 00:25:19,590 +طيب، لو أنا عندي عدسة تانية حطيت محورها على + +367 +00:25:19,590 --> 00:25:24,620 +التسعين، بس قوتها بتختلفAlso planocylinder, + +368 +00:25:24,940 --> 00:25:27,880 +planocylinder, for example plus two planocylinder, + +369 +00:25:28,000 --> 00:25:31,620 +I put it on ninety, and plus three diopter + +370 +00:25:31,620 --> 00:25:34,200 +cylinder, I put it on one hundred and eighty So + +371 +00:25:34,200 --> 00:25:38,880 +these in their group work as spherocylindrical + +372 +00:25:38,880 --> 00:25:43,120 +lens, as spherocylindrical lens, why? Because we + +373 +00:25:43,120 --> 00:25:43,300 +say + +374 +00:25:46,230 --> 00:25:50,610 +The first lens + +375 +00:25:50,610 --> 00:25:52,030 +has a force of zero at one hundred and eighty + +376 +00:25:52,030 --> 00:25:55,410 +degrees The + +377 +00:25:55,410 --> 00:26:02,090 +second lens has a force of plus two degrees at one + +378 +00:26:02,090 --> 00:26:04,450 +hundred and eighty degrees The forces of the two + +379 +00:26:04,450 --> 00:26:06,810 +lenses are different from each other + +380 +00:26:12,110 --> 00:26:18,250 +We can consider them as two planocylinders that + +381 +00:26:18,250 --> 00:26:23,350 +are perpendicular to each other Or more commonly, + +382 +00:26:23,670 --> 00:26:26,870 +we can consider them as a combination of spherical + +383 +00:26:26,870 --> 00:26:29,710 +lens and cylindrical lens Let's see an example + +384 +00:26:29,710 --> 00:26:30,950 +that explains this better + +385 +00:26:34,450 --> 00:26:40,250 +I have, for example, a lens that has a different + +386 +00:26:40,250 --> 00:26:43,830 +force than the meridian Astigmatic lens Astigmatic + +387 +00:26:43,830 --> 00:26:47,250 +lens The force of this meridian in the astigmatic + +388 +00:26:47,250 --> 00:26:50,130 +lens, we found it to be plus one We measured it on + +389 +00:26:50,130 --> 00:26:53,350 +a lensmeter, on a lens measuring device This axis, + +390 +00:26:54,230 --> 00:26:56,630 +this axis, we found its force to be plus one + +391 +00:26:56,630 --> 00:26:59,990 +diopter And this axis, we found its force to be + +392 +00:26:59,990 --> 00:27:04,390 +plus four dioptersوالمحاور اللي بينهم مثلا plus + +393 +00:27:04,390 --> 00:27:07,970 +واحد و نص plus اتنين plus اتنين و نص plus تلاتة + +394 +00:27:07,970 --> 00:27:13,590 +plus تلاتة و نص plus اربع، اذا فش اي محور، فش اي + +395 +00:27:13,590 --> 00:27:20,120 +محور quota صفرOkay, if we wanted to say that any + +396 +00:27:20,120 --> 00:27:25,120 +kind of astigmatic lenses, it's better to call + +397 +00:27:25,120 --> 00:27:27,520 +them spherocylindrical lenses I represented all + +398 +00:27:27,520 --> 00:27:34,020 +these circles with the graph that we see aboveThe + +399 +00:27:34,020 --> 00:27:37,080 +axis is 180 and its force is plus 1. Of course, + +400 +00:27:37,600 --> 00:27:40,140 +the force is measured by the sum. The more the + +401 +00:27:40,140 --> 00:27:41,020 +force increases, the more the contribution + +402 +00:27:41,020 --> 00:27:44,040 +increases. The axis is 180 and its force is plus + +403 +00:27:44,040 --> 00:27:47,240 +1. The next axis is closer to 90 and its force + +404 +00:27:47,240 --> 00:27:49,120 +increases because this is a regular astigmatism. + +405 +00:27:49,810 --> 00:27:52,590 +This is regular astigmatism. And the meridians + +406 +00:27:52,590 --> 00:27:56,510 +force starts from the weakest to the strongest, + +407 +00:27:56,990 --> 00:27:59,650 +gradually, regularly, or from the strongest to the + +408 +00:27:59,650 --> 00:28:03,330 +weakest, gradually, also, gradually, regularly. I + +409 +00:28:03,330 --> 00:28:06,710 +can say, first of all, that 180 plus 1 will + +410 +00:28:06,710 --> 00:28:12,130 +contribute to the force of the meridian, which is + +411 +00:28:12,130 --> 00:28:17,270 +180. Okay, on axis 15 degrees, the force is one + +412 +00:28:17,270 --> 00:28:22,380 +and a half.On axis 30 degrees, the force is 2 On + +413 +00:28:22,380 --> 00:28:27,820 +axis 45 degrees, the force is 2.5 On axis 60 + +414 +00:28:27,820 --> 00:28:32,720 +degrees, the force is 3 On axis 75 degrees, the + +415 +00:28:32,720 --> 00:28:36,140 +force is 3.5 On axis 90 degrees, the force is 4 as + +416 +00:28:36,140 --> 00:28:39,600 +we can see So there is an average progression We + +417 +00:28:39,600 --> 00:28:45,660 +can say as follows If we put a square with a plus + +418 +00:28:45,660 --> 00:28:52,430 +signلو حطينا سفير plus واحد وكأنه .. وكأنه بنقول + +419 +00:28:52,430 --> 00:28:56,090 +كل meridian انت قوتك plus واحد وانت قوتك plus واحد + +420 +00:28:56,090 --> 00:28:59,090 +وانت قوتك plus واحد وانت .. العند هنا يعني وانت + +421 +00:28:59,090 --> 00:29:02,370 +قوتك plus واحد وانت قوتك plus واحد وانت قوتك plus + +422 +00:29:02,370 --> 00:29:07,170 +واحد .. اذا بقدر اعتبر انه هذه عدسة عبارة هنجسمها + +423 +00:29:07,170 --> 00:29:12,880 +نصيةSphere is plus one which includes the power of + +424 +00:29:12,880 --> 00:29:15,860 +the sphere in every meridian plus one Here plus + +425 +00:29:15,860 --> 00:29:18,840 +one, here plus one, here plus one, here plus one, + +426 +00:29:18,920 --> 00:29:20,960 +here plus one, here plus one, here plus one, here + +427 +00:29:20,960 --> 00:29:20,960 +plus one, here plus one, here plus one, here plus + +428 +00:29:20,960 --> 00:29:20,960 +one, here plus one, here plus one, here plus one, + +429 +00:29:20,960 --> 00:29:20,960 +here plus one, here plus one, here plus one, here + +430 +00:29:20,960 --> 00:29:20,960 +plus one, here plus one, here plus one, here plus + +431 +00:29:20,960 --> 00:29:20,960 +one, here plus one, here plus one, here plus one, + +432 +00:29:21,060 --> 00:29:21,260 +here plus one, here plus one, here plus one, here + +433 +00:29:21,260 --> 00:29:21,260 +plus one, here plus one, here plus one, here plus + +434 +00:29:21,260 --> 00:29:21,760 +one, here plus one, here plus one, here plus one, + +435 +00:29:22,220 --> 00:29:23,000 +here plus one, here plus one, here plus one, here + +436 +00:29:23,000 --> 00:29:23,000 +plus one, here plus one, here plus one, here plus + +437 +00:29:23,000 --> 00:29:23,000 +one, here plus one, here plus one, here plus one, + +438 +00:29:23,000 --> 00:29:23,000 +here plus one, here plus one, here plus one, here + +439 +00:29:23,000 --> 00:29:24,880 +plus one, here plus one, here plus one, here plus + +440 +00:29:24,880 --> 00:29:28,760 +one, here plusوهدا بزيد واحد عن ال plus واحد وهدا + +441 +00:29:28,760 --> 00:29:32,420 +بزيد واحد و نص عن ال plus واحد وهدا بزيد اتنين عن + +442 +00:29:32,420 --> 00:29:35,080 +ال plus واحد وهدا بزيد اتنين و نص عن ال plus واحد + +443 +00:29:35,080 --> 00:29:38,300 +وهدا بزيد تلاتة عن ال plus واحد يعني هدا عبارة عن + +444 +00:29:38,300 --> 00:29:42,750 +ال plus واحدAnd above plus one, plus three means + +445 +00:29:42,750 --> 00:29:47,150 +plus four So, I can say that this lens, this lens + +446 +00:29:47,150 --> 00:29:50,490 +that we took out meridian from it plus one And the + +447 +00:29:50,490 --> 00:29:52,910 +strongest meridian plus four which is vertical on + +448 +00:29:52,910 --> 00:29:58,410 +it As if this lens is two lenses, sphere is plus + +449 +00:29:58,410 --> 00:30:02,970 +one for all meridian And cylinder which is what + +450 +00:30:02,970 --> 00:30:07,220 +remains, what remains, so here the sphereAnd + +451 +00:30:07,220 --> 00:30:10,820 +here's the cylinder As if I'm saying I have this + +452 +00:30:10,820 --> 00:30:16,560 +lens It's two lenses Two lenses But first I have + +453 +00:30:16,560 --> 00:30:21,040 +to take the drawing here To make the idea more + +454 +00:30:21,040 --> 00:30:26,340 +clear This + +455 +00:30:26,340 --> 00:30:33,040 +lens which is the astigmatic lens I + +456 +00:30:33,040 --> 00:30:34,560 +can imagine it to be equal + +457 +00:30:39,460 --> 00:30:42,060 +And I want to enlarge the word equal or symbol + +458 +00:30:42,060 --> 00:30:48,260 +equal to make the idea more clear + +459 +00:30:48,260 --> 00:30:53,280 +This + +460 +00:30:53,280 --> 00:30:53,780 +is equal + +461 +00:31:08,990 --> 00:31:13,930 +Plus one sphere When + +462 +00:31:13,930 --> 00:31:20,390 +we say plus one means plus one diopter sphere + +463 +00:31:36,970 --> 00:31:39,250 +Add this to make it an extra sphere + +464 +00:32:09,790 --> 00:32:13,090 +I'm going to add distance, plus cylinder + +465 +00:32:56,090 --> 00:32:59,970 +Plus a cylinder whose force on the horizontal + +466 +00:32:59,970 --> 00:33:01,270 +meridian is zero. + +467 +00:33:04,190 --> 00:33:05,710 +Zero diopter. + +468 +00:33:14,310 --> 00:33:18,450 +And on the vertical axis plus three diopters. + +469 +00:33:28,440 --> 00:33:36,600 +Let's go to the big picture. So, when I have a + +470 +00:33:36,600 --> 00:33:41,680 +lens, one meridian has a certain force, and + +471 +00:33:41,680 --> 00:33:44,520 +another meridian has a stronger or weaker force, + +472 +00:33:44,840 --> 00:33:47,220 +but none of them is zero, this is considered a + +473 +00:33:47,220 --> 00:33:51,860 +sphero-cylindrical lens, which is the general form + +474 +00:33:51,860 --> 00:33:56,090 +of the astigmatic lens.Of course, we said that the + +475 +00:33:56,090 --> 00:34:07,150 +planocylindrical lens has a vertical force towards + +476 +00:34:07,150 --> 00:34:11,790 +its axis and its axis has zero force if we move + +477 +00:34:11,790 --> 00:34:15,370 +away from its axis, its force increases and + +478 +00:34:15,370 --> 00:34:18,790 +increases from zero to a certain value + +479 +00:34:23,740 --> 00:34:26,820 +The force of any plano-cylindrical lens, whether + +480 +00:34:26,820 --> 00:34:33,560 +plano-concave or plano-convex, when + +481 +00:34:33,560 --> 00:34:37,200 +its axis is zero, away from the axis, it increases + +482 +00:34:37,200 --> 00:34:39,180 +and increases and increases. When we walk on the + +483 +00:34:39,180 --> 00:34:42,700 +meridian, the vertical axis, it has its maximum + +484 +00:34:42,700 --> 00:34:45,500 +force as it is equivalent to the force of the + +485 +00:34:45,500 --> 00:34:53,020 +number written on it. Okay, now I have a lensThe + +486 +00:34:53,020 --> 00:34:56,400 +weakest meridian in it has power, not zero, that + +487 +00:34:56,400 --> 00:34:59,600 +is, this is not a plano cylinder, but this is + +488 +00:34:59,600 --> 00:35:01,980 +considered a spherocylinder. How did we consider + +489 +00:35:01,980 --> 00:35:06,420 +it a sphere?أضعف meridian قوته plus واحد، ال + +490 +00:35:06,420 --> 00:35:09,740 +meridian التاني قوته plus واحد وربع مثلا، واحد + +491 +00:35:09,740 --> 00:35:13,640 +ومصر، واحد وتلت اربع، لغاية ما نصل لأربع، لو إنسان + +492 +00:35:13,640 --> 00:35:19,100 +قلنا معاه يعني عشرة دنانير، إنسان آخر معاه خمستاشر + +493 +00:35:19,100 --> 00:35:22,300 +دينار، إنسان تالت معاه عشرين، إنسان رابع معاه خمسة + +494 +00:35:22,300 --> 00:35:27,440 +وعشرين، إنسان خامس معاه تلتين، بقولهم كلهم، كلكم + +495 +00:35:27,440 --> 00:35:32,320 +معاكم عشر دنانيرو بعدين الشخص رقم اتنين، الشخص رقم + +496 +00:35:32,320 --> 00:35:36,320 +اتنين عنده زيادة عن العشر دنانير، مثلا خمس دنانير، + +497 +00:35:36,320 --> 00:35:40,240 +الشخص رقم تلاتة عنده زيادة و هكذا، فهنا لما بلاجي + +498 +00:35:40,240 --> 00:35:44,040 +a stigmatic lens و كل ال meridians بتاعتها في إلها + +499 +00:35:44,040 --> 00:35:47,540 +قوة، مفيش صفير، مقدرش أسميها plan و cylinder، + +500 +00:35:47,540 --> 00:35:51,300 +وإنما إيش أفضل اسم بناسب إلها sphere و cylinder، + +501 +00:35:51,300 --> 00:35:56,100 +يعني انه كأنه كلهمOr as if this lens is a sphere + +502 +00:35:56,100 --> 00:35:58,740 +with a force of one diopter Why sphere? Because + +503 +00:35:58,740 --> 00:36:01,460 +all meridians in the sphere have a force of one + +504 +00:36:01,460 --> 00:36:05,040 +diopter It will be of the same force Plus in front + +505 +00:36:05,040 --> 00:36:07,360 +of it a cylinder As if it is a combination of a + +506 +00:36:07,360 --> 00:36:12,680 +sphere and a cylinder The cylinder here is from + +507 +00:36:12,680 --> 00:36:15,720 +zero Plan and cylinder of course Sphere with plan + +508 +00:36:15,720 --> 00:36:17,800 +and cylinder So they call them sphere and cylinder + +509 +00:36:17,800 --> 00:36:24,790 +Zero plus one plus two plus threeOkay? Why zero + +510 +00:36:24,790 --> 00:36:27,690 +here? Because we .. this meridian took its place + +511 +00:36:27,690 --> 00:36:31,050 +in the sphere I mean .. I mean .. the sphere at + +512 +00:36:31,050 --> 00:36:33,110 +one hundred and eighty its force is one deuterium + +513 +00:36:33,110 --> 00:36:36,930 +So this is to clarify the idea .. to clarify the + +514 +00:36:36,930 --> 00:36:41,150 +idea Here, of course, which is the trial frame + +515 +00:36:41,150 --> 00:36:44,790 +that explains the meridians and how we deal with + +516 +00:36:44,790 --> 00:36:47,490 +the meridians in the trial frame Of course, the + +517 +00:36:47,490 --> 00:36:49,430 +trial frame may not be very clear here + +518 +00:37:03,840 --> 00:37:07,120 +Trial frames have different shapes and types, and + +519 +00:37:07,120 --> 00:37:11,440 +I will show you some examples here for example I + +520 +00:37:11,440 --> 00:37:15,340 +have axis 90 and I want to point out that 0 and + +521 +00:37:15,340 --> 00:37:18,340 +180 are the same thing, the opposite of 0 is the + +522 +00:37:18,340 --> 00:37:21,120 +opposite of 180, the opposite of 0 is the opposite + +523 +00:37:21,120 --> 00:37:23,700 +of 180, so it is necessary to pay attention to + +524 +00:37:23,700 --> 00:37:25,100 +this issue + +525 +00:37:41,600 --> 00:37:46,100 +this is the trial frame and these are its axes of + +526 +00:37:46,100 --> 00:37:56,860 +course axis 0 is 180 from 0 to 90 to 180 here from + +527 +00:37:56,860 --> 00:38:04,280 +0 to 90 to 180 of course these axes are numerated + +528 +00:38:04,280 --> 00:38:06,760 +not because of spherical lens spherical lens does + +529 +00:38:06,760 --> 00:38:11,990 +not require numerationكيف ما نحطت مايلهاش محور + +530 +00:38:11,990 --> 00:38:15,590 +اقوى من محور فكل المحاور متساوية وانما هذا الترقيم + +531 +00:38:15,590 --> 00:38:19,510 +عشان ال cylindrical lens نحط ال axis بتاعها بشكل + +532 +00:38:19,510 --> 00:38:23,410 +صحيح the zero meridian is the same as the مية و + +533 +00:38:23,410 --> 00:38:27,710 +تمانين meridian and the hundred eighty degree + +534 +00:38:27,710 --> 00:38:31,470 +notation is always used for this meridian طيب احنا + +535 +00:38:31,470 --> 00:38:34,390 +قلنا الصفر هو المية و تمانين ولكن لما انا بدى اكتب + +536 +00:38:34,390 --> 00:38:40,500 +وصفة لنضارة لما بدى اكتب وصفة لنضارةFor example, + +537 +00:38:40,760 --> 00:38:45,260 +let's say plus + +538 +00:38:45,260 --> 00:38:50,860 +three spheres plus three diopter spheres with + +539 +00:38:50,860 --> 00:38:57,180 +minus two diopter cylinders in axis, that is, we + +540 +00:38:57,180 --> 00:38:59,900 +want to put the diopter cylinder in axis, let's + +541 +00:38:59,900 --> 00:39:03,020 +not say zero, let's say one hundred and eighty + +542 +00:39:03,020 --> 00:39:07,770 +degrees one hundred and eighty degreesSo + +543 +00:39:07,770 --> 00:39:14,230 +therefore, when we have the axis on zero, we say + +544 +00:39:14,230 --> 00:39:19,430 +axis 180, as this book explains When I want to + +545 +00:39:19,430 --> 00:39:22,210 +write a description, I say the value of the + +546 +00:39:22,210 --> 00:39:25,230 +sphere, the value of the cylinder whether in plus + +547 +00:39:25,230 --> 00:39:27,670 +or minus, depending on whether it is plano concave + +548 +00:39:27,670 --> 00:39:30,930 +or plano convex In the axis, when it is zero, I + +549 +00:39:30,930 --> 00:39:36,000 +have to write 180I have to write 180 degrees to + +550 +00:39:36,000 --> 00:39:46,500 +make things clear to make things clear what + +551 +00:39:46,500 --> 00:39:47,820 +are the forms? + +552 +00:39:57,400 --> 00:40:01,840 +اللي ممكن اكتب عليها اللي هو ال power تاعت ال + +553 +00:40:01,840 --> 00:40:04,080 +spherical cylindrical lens هذا المرة القادمة + +554 +00:40:04,080 --> 00:40:07,720 +هنتعرف عليه ويعطيكم العافية والسلام عليكم ورحمة + +555 +00:40:07,720 --> 00:40:09,040 +الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4xAHpFxG_gw_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/4xAHpFxG_gw_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..04193ad50cdb1b6425b48a377b63e4ae02bd7b00 --- /dev/null +++ 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point there is a specific image point these objects and image points that are similar to each other or pictures of each other we call them conjugate or corresponding object and image points", "tokens": [6780, 1184, 2657, 307, 18204, 295, 364, 13785, 1230, 295, 1359, 2793, 300, 393, 312, 4888, 382, 935, 7139, 337, 1442, 1184, 935, 294, 264, 2657, 575, 1080, 1065, 3256, 420, 3256, 294, 264, 3256, 370, 337, 633, 2657, 935, 456, 307, 257, 2685, 3256, 935, 613, 6565, 293, 3256, 2793, 300, 366, 2531, 281, 1184, 661, 420, 5242, 295, 1184, 661, 321, 818, 552, 45064, 420, 11760, 2657, 293, 3256, 2793], "avg_logprob": -0.3827054892500786, "compression_ratio": 1.9948979591836735, "no_speech_prob": 9.5367431640625e-06, "words": [{"start": 29.02, "end": 29.4, "word": "that", "probability": 0.306396484375}, {"start": 29.4, "end": 29.8, "word": " each", "probability": 0.43896484375}, {"start": 29.8, "end": 30.24, "word": " object", "probability": 0.927734375}, {"start": 30.24, "end": 30.38, "word": " 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التجربة اللى جمنا فيها اللى تجربة ال pinhole لو احنا جيبنا ورقة القصدير وثقبناها ثقوب متعددة بعدد الثقوب هيتكون عندى صور لأنه من A مثلا من A هتكون pencil of light دخل في الثقب الأول pencil آخر of light دخل في الثقب التانى pencil تالد دخل في الثقب التالد", "tokens": [7035, 312, 11750, 11, 7251, 43020, 4724, 10721, 2304, 7649, 3714, 15040, 5016, 19913, 3660, 13095, 365, 5447, 14094, 2423, 7649, 45164, 10874, 1829, 8315, 1975, 5016, 8315, 12174, 12610, 8315, 16712, 7435, 25513, 3660, 13672, 7578, 10874, 2304, 8315, 8978, 11296, 13672, 7578, 6055, 7435, 25513, 3660, 2423, 5447, 14094, 45164, 1975, 5016, 8315, 10874, 1829, 3555, 8315, 4032, 2288, 28671, 25062, 9381, 3215, 13546, 4032, 12984, 4587, 3555, 8315, 11296, 38637, 4587, 37746, 44650, 22488, 41891, 45030, 3215, 3215, 6024, 104, 4587, 37746, 8032, 36081, 30544, 43242, 7578, 20328, 13063, 5296, 33456, 3224, 9154, 316, 50113, 15040, 9154, 316, 8032, 2655, 30544, 10985, 295, 1442, 11778, 9778, 1211, 8978, 6024, 104, 4587, 3555, 16247, 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So, several pinholes yield several images", "tokens": [3555, 28543, 2288, 19446, 31439, 3714, 29245, 23328, 18871, 16254, 6225, 3215, 3215, 38637, 4587, 37746, 8978, 4032, 2288, 28671, 25062, 9381, 3215, 13546, 12399, 4724, 28543, 2288, 19446, 4724, 5016, 36520, 15844, 6225, 3215, 3215, 44650, 37983, 2288, 9154, 31767, 13063, 3660, 13, 407, 11, 2940, 5447, 37894, 11257, 2940, 5267], "avg_logprob": -0.14770046495041758, "compression_ratio": 1.3108108108108107, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 799.52, "end": 800.26, "word": "بقدر", "probability": 0.9581705729166666}, {"start": 800.26, "end": 800.44, "word": " ما", "probability": 0.96923828125}, {"start": 800.44, "end": 800.72, "word": " هو", "probability": 0.99072265625}, {"start": 800.72, "end": 801.18, "word": " موجود", "probability": 0.9781901041666666}, {"start": 801.18, "end": 801.54, "word": " عندي", "probability": 0.7039794921875}, {"start": 801.54, "end": 801.98, "word": " عدد", "probability": 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a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5Bo-T07tCcM.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5Bo-T07tCcM.srt new file mode 100644 index 0000000000000000000000000000000000000000..379463e3d78c71408fb0f7edf88567546dbda5e5 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5Bo-T07tCcM.srt @@ -0,0 +1,1482 @@ + +1 +00:00:01,640 --> 00:00:04,700 +بسم الله الرحمن الرحيم، بنواصل محاضرات الـ + +2 +00:00:04,700 --> 00:00:07,380 +Geometric Optics، ووصلنا لموضوع الـ Gaussian + +3 +00:00:07,380 --> 00:00:11,340 +Reduction أو الـ Gaussian Reduction. Thus far, we + +4 +00:00:11,340 --> 00:00:13,900 +have discussed the properties of a single optical + +5 +00:00:13,900 --> 00:00:17,550 +system. The treatment of refractive errors usually + +6 +00:00:17,550 --> 00:00:21,010 +involves adding a lens to an existing optical + +7 +00:00:21,010 --> 00:00:24,310 +system, the patient's eye. When we were in + +8 +00:00:24,310 --> 00:00:27,450 +previous discussions and lectures, we were + +9 +00:00:27,450 --> 00:00:31,690 +discussing single optical systems. Now, when it + +10 +00:00:31,690 --> 00:00:34,490 +comes to the treatment of refractive errors, such + +11 +00:00:34,490 --> 00:00:38,530 +as myopia, hypermetropia, and astigmatism, we add + +12 +00:00:38,530 --> 00:00:43,810 +a lens. We are adding a lens to an existing optical + +13 +00:00:43,810 --> 00:00:47,070 +system لأ optical system موجود بالأساس وهو عين + +14 +00:00:47,070 --> 00:00:50,630 +المريض وطبعا لما بنقول عين المريض بنقصد في optical + +15 +00:00:50,630 --> 00:00:54,090 +system مكوّن من الكورنيا ومن ال crystalline lens + +16 +00:00:54,090 --> 00:00:58,910 +Gaussian reduction describes what happens when two + +17 +00:00:58,910 --> 00:01:01,870 +optical systems such as the correcting lens and + +18 +00:01:01,870 --> 00:01:07,900 +the eye are combined. معروف أنهكل optical system + +19 +00:01:07,900 --> 00:01:11,040 +لحال العين ك optical system و ال correcting lens + +20 +00:01:11,040 --> 00:01:15,300 +سواء plus أو minus سواء cylindrical lens أو sphero + +21 +00:01:15,300 --> 00:01:19,400 +cylindrical lens تعتبر optical lens لحال كل + +22 +00:01:19,400 --> 00:01:22,800 +optical system لوحده له three pairs of cardinal + +23 +00:01:22,800 --> 00:01:26,120 +points of cardinal points اللي هو two nodal و two + +24 +00:01:26,120 --> 00:01:32,610 +focal و two principal points. لما بنضيف two optical + +25 +00:01:32,610 --> 00:01:35,950 +system لبعض من البعض، إيش اللي بيحصل عندي؟ اللي + +26 +00:01:35,950 --> 00:01:39,670 +بيحصل عندي إنه أنا بصير عندي new optical system، + +27 +00:01:39,670 --> 00:01:43,350 +إله طاقم جديد من ال cardinal points. When two + +28 +00:01:43,350 --> 00:01:47,790 +optical systems each with its own cardinal points + +29 +00:01:47,790 --> 00:01:51,210 +are combined، a totally new، بنأكد على كلمة + +30 +00:01:51,210 --> 00:01:56,000 +totally new بمعنى إنه جديد جدا. A totally new + +31 +00:01:56,000 --> 00:02:01,300 +optical system is created. يعني بيصبح عندي optical + +32 +00:02:01,300 --> 00:02:05,940 +system جديد بأعمله توصيف بواسطة new set of + +33 +00:02:05,940 --> 00:02:10,220 +cardinal points. يعني إله يعني تلت أزواج من ال + +34 +00:02:10,220 --> 00:02:12,920 +reference points أو تلت أزواج من ال cardinal + +35 +00:02:12,920 --> 00:02:14,800 +points تختلف عن + +36 +00:02:19,730 --> 00:02:22,950 +The thick lens equation is used to reduce the two + +37 +00:02:22,950 --> 00:02:26,550 +individual systems to a single system with its own + +38 +00:02:26,550 --> 00:02:28,450 +set of cardinal points. + +39 +00:02:33,190 --> 00:02:38,870 +عشان ال .. ال .. ال new optical system يعني يوصفوه + +40 +00:02:38,870 --> 00:02:43,450 +.. إيش يعني يوصفوه؟ يعني يحددوا أماكن ال focal + +41 +00:02:43,450 --> 00:02:47,350 +points بتاعته و ال nodal points بتاعته و ال + +42 +00:02:47,350 --> 00:02:51,390 +principal points. Typically, the combined systems' + +43 +00:02:51,590 --> 00:02:54,650 +cardinal points and power differ from those of + +44 +00:02:54,650 --> 00:02:58,210 +either of the individual systems. يعني ما حد يتخيل + +45 +00:03:03,400 --> 00:03:08,840 +No one can imagine that the + +46 +00:03:08,840 --> 00:03:12,360 +new optical system is a combination of cardinal + +47 +00:03:12,360 --> 00:03:13,020 +points. No. + +48 +00:03:23,140 --> 00:03:25,640 +I will try to see a picture to describe this case. + +49 +00:03:28,980 --> 00:03:32,840 +This is my eye. The eye is an optical system and + +50 +00:03:32,840 --> 00:03:36,140 +the lens is a different optical system from it. The + +51 +00:03:36,140 --> 00:03:39,160 +lens itself has three pairs of cardinal points. It + +52 +00:03:39,160 --> 00:03:42,600 +has focal points, nodal points and principal + +53 +00:03:42,600 --> 00:03:48,020 +points. And the eye itself has principal points, + +54 +00:03:48,140 --> 00:03:51,220 +nodal points and focal points. When both join + +55 +00:03:51,220 --> 00:03:55,700 +together بعملهم combination بمعنى أنه بلبس المريض + +56 +00:03:55,700 --> 00:03:59,820 +العدسة أو بلبس النضارة بصير عندي a new optical + +57 +00:03:59,820 --> 00:04:03,040 +system عبارة عن عدسة minus مثلا زي ما الرسمها + +58 +00:04:03,040 --> 00:04:07,280 +بتوضح cornea and lens فبالتالي هذا ال new optical + +59 +00:04:07,280 --> 00:04:11,500 +system له three new pairs of cardinal points. يعني + +60 +00:04:11,500 --> 00:04:15,300 +ماجيش أخد ال anterior focal point مثلا من العدسة + +61 +00:04:15,810 --> 00:04:18,030 +and the posterior focal point from the eye. No, + +62 +00:04:18,390 --> 00:04:23,610 +but I will have a new group of cardinal points. + +63 +00:04:23,610 --> 00:04:26,810 +Typically the combined optical, the combined + +64 +00:04:26,810 --> 00:04:30,150 +systems cardinal points and power, the cardinal + +65 +00:04:30,150 --> 00:04:33,640 +points of the new system and its power is different + +66 +00:04:33,640 --> 00:04:39,660 +from the previous two components, which are the + +67 +00:04:39,660 --> 00:04:43,440 +eye as an optical system and the lens as an + +68 +00:04:43,440 --> 00:04:45,600 +optical system. It is completely different from + +69 +00:04:45,600 --> 00:04:46,540 +them to the new system. + +70 +00:04:49,150 --> 00:04:52,050 +Clinically, Gaussian reduction is most important + +71 +00:04:52,050 --> 00:04:54,770 +in conjunction with the correction of ametropias + +72 +00:04:54,770 --> 00:04:58,430 +and in the calculation of IOL + +73 +00:05:08,540 --> 00:05:10,520 +The power of the lens that is produced after the + +74 +00:05:10,520 --> 00:05:12,340 +production of white water becomes very important + +75 +00:05:12,340 --> 00:05:17,320 +for Gaussian reduction to determine the cardinal + +76 +00:05:17,320 --> 00:05:20,980 +points of the new system. + +77 +00:05:22,960 --> 00:05:26,420 +This is for Gaussian reduction. We come today to + +78 +00:05:26,420 --> 00:05:29,990 +another topic which is the Knaps law. Knapp's law, + +79 +00:05:30,510 --> 00:05:35,510 +the beta principle and the lensmeter. One problem + +80 +00:05:35,510 --> 00:05:38,230 +in treating refractive errors is that the + +81 +00:05:38,230 --> 00:05:41,050 +correcting lens often changes the size of the + +82 +00:05:41,050 --> 00:05:41,930 +original image. + +83 +00:05:54,360 --> 00:05:58,720 +لما بحط عدسة أمام العين ممكن حجم الصورة على ال + +84 +00:05:58,720 --> 00:06:03,060 +retina يكون مختلف لأنه العدسة اللي أنا بحطها سواء + +85 +00:06:03,060 --> 00:06:06,620 +plus أو minus ممكن تعمل magnification أو + +86 +00:06:06,620 --> 00:06:10,140 +minification. فبالتالي if the retinal image in one + +87 +00:06:10,140 --> 00:06:14,140 +eye differs in size from that on the other eye the + +88 +00:06:14,140 --> 00:06:16,780 +difference is usually tolerated by the patient + +89 +00:06:16,780 --> 00:06:19,540 +unless different. + +90 +00:06:24,920 --> 00:06:36,200 +different retinal image size بمعنى + +91 +00:06:36,200 --> 00:06:44,120 +آخر لو أخدنا الصورة I ربما تكون معبرة يعني نحاول + +92 +00:06:44,120 --> 00:06:45,480 +ننسخها و نكبرها. + +93 +00:07:11,590 --> 00:07:13,530 +this is a picture of a human, it will come to the + +94 +00:07:13,530 --> 00:07:18,930 +network if I have ... if I have ... of course here + +95 +00:07:18,930 --> 00:07:22,790 +this is for another topic, but when the size of + +96 +00:07:22,790 --> 00:07:32,370 +the picture is different on the network this + +97 +00:07:32,370 --> 00:07:36,970 +is the size of the picture highlighted in blue, the + +98 +00:07:36,970 --> 00:07:40,490 +size of the picture here. It's totally different + +99 +00:07:40,490 --> 00:07:41,950 +from the size of the picture here. The size of the + +100 +00:07:41,950 --> 00:07:44,310 +picture here is much larger. Let's assume that + +101 +00:07:44,310 --> 00:07:46,510 +here is the right eye and here is the left eye. So + +102 +00:07:46,510 --> 00:07:49,610 +when the retinal image size is different, the + +103 +00:07:49,610 --> 00:07:53,410 +brain can only handle small differences. That is, + +104 +00:07:53,410 --> 00:07:56,430 +for adults, it can handle up to 8% difference in + +105 +00:07:56,430 --> 00:08:00,040 +the height of the picture. And for children it's up + +106 +00:08:00,040 --> 00:08:02,880 +to 12%. If it's more than that, so this picture is + +107 +00:08:02,880 --> 00:08:06,800 +twice or three quarters bigger than this picture, + +108 +00:08:07,300 --> 00:08:10,060 +so it's going to be double. So what makes a + +109 +00:08:10,060 --> 00:08:13,380 +picture big and small? The correcting lens that I + +110 +00:08:13,380 --> 00:08:18,260 +use might do minification or magnification, يعني + +111 +00:08:18,260 --> 00:08:23,080 +ممكن تصغر صورة أو تكبر صورة بسبب ال difference في + +112 +00:08:23,080 --> 00:08:25,960 +ال refractive error between the two eyes. فبالتالي + +113 +00:08:25,960 --> 00:08:29,500 +هذه هي الفكرة. So the adult brain can fuse retinal + +114 +00:08:29,500 --> 00:08:34,080 +images that differ in size by as much as تمانية في + +115 +00:08:34,080 --> 00:08:37,660 +المية. The child's brain can handle an even + +116 +00:08:37,660 --> 00:08:43,150 +greater disparity. بمعنى آخر المخ الإنسان البالغ، + +117 +00:08:43,150 --> 00:08:46,510 +دماغ الإنسان البالغ بقدر .. بقدر يدمج صورتين من + +118 +00:08:46,510 --> 00:08:51,290 +العين تان إذا كان الفارق في حجم الصور ما .. لا + +119 +00:08:51,290 --> 00:08:53,810 +يزيد عن تمانية في المية، يعني واحدة أكبر من واحدة + +120 +00:08:53,810 --> 00:08:57,210 +بتمانية في المية، سبعة في المية، خمسة في المية. Or + +121 +00:08:57,210 --> 00:09:02,610 +smaller than that value, but more than 8% is double. + +122 +00:09:02,610 --> 00:09:07,110 +For the child's brain, the child's brain can bear + +123 +00:09:07,110 --> 00:09:10,910 +bigger differences. I mean, some studies say that + +124 +00:09:10,910 --> 00:09:15,850 +up to 12% can bear differences in the size of the + +125 +00:09:15,850 --> 00:09:18,690 +retinal image size. What causes the retinal image + +126 +00:09:18,690 --> 00:09:22,840 +size? Difference, low correction of refractive + +127 +00:09:22,840 --> 00:09:26,040 +error. When I have an unequal refractive error in + +128 +00:09:26,040 --> 00:09:29,480 +both eyes, for example, eye plus one and eye plus + +129 +00:09:29,480 --> 00:09:35,120 +seven, and I fix this issue, then when I use plus + +130 +00:09:35,120 --> 00:09:37,660 +seven in front of the eye that has hypermetropia + +131 +00:09:37,660 --> 00:09:41,240 +plus seven, it will do magnification greater than + +132 +00:09:41,240 --> 00:09:44,410 +what it does to plus one. فبالتالي و ايضا في ال + +133 +00:09:44,410 --> 00:09:47,470 +minus هذا الكلام برضه صحيح هتكون التصغير كل ما + +134 +00:09:47,470 --> 00:09:53,470 +كبرت العدسة بيكون عندها minification اكتر. طيب اجا + +135 +00:09:53,470 --> 00:09:58,490 +العالم Knaps و حط قانون عشان يحل المشكلة هاي عشان + +136 +00:09:58,490 --> 00:10:03,570 +يحل المشكلة هاي. ماذا ينص او على ماذا ينص قانون + +137 +00:10:03,570 --> 00:10:07,820 +Knaps? According to Knapp's law, the size of retinal + +138 +00:10:07,820 --> 00:10:11,300 +image does not change when the center of the + +139 +00:10:11,300 --> 00:10:16,080 +correcting lens, or, to be precise, the posterior + +140 +00:10:16,080 --> 00:10:20,040 +nodal point of the correcting lens coincides with + +141 +00:10:20,040 --> 00:10:22,280 +the anterior focal point of the eye. + +142 +00:10:25,820 --> 00:10:28,220 +Even if the refractive error is different between + +143 +00:10:28,220 --> 00:10:30,480 +the two lenses, and we want to testify that the + +144 +00:10:30,480 --> 00:10:34,920 +glasses with their different lenses are enlarged + +145 +00:10:34,920 --> 00:10:36,880 +or reduced, we want the image size to remain + +146 +00:10:36,880 --> 00:10:40,380 +constant, and we want to put a condition. We say, the + +147 +00:10:40,380 --> 00:10:46,440 +retinal image size does not change when the center + +148 +00:10:51,440 --> 00:11:01,840 +When the center of the correcting lens coincides + +149 +00:11:01,840 --> 00:11:05,120 +with the anterior focal point of the eye. + +150 +00:11:16,800 --> 00:11:20,240 +وهي عندنا ال nodal point بتاعتها ال nodal point + +151 +00:11:20,240 --> 00:11:23,620 +بتاعتها هاد ال nodal point بتاعت ال correcting + +152 +00:11:23,620 --> 00:11:28,320 +lens ال posterior nodal point وممكن تكون منطبق على + +153 +00:11:28,320 --> 00:11:30,900 +ال anterior nodal point بس مش هاد موضوعنا ال + +154 +00:11:30,900 --> 00:11:34,280 +posterior nodal point بتاعت ال correcting lens و + +155 +00:11:34,280 --> 00:11:39,560 +ال anterior focal focus ال FA بتاعت ال eye هم في + +156 +00:11:39,560 --> 00:11:44,420 +نفس المكان في الفرار. طيب لما الشعاق بيجي from the + +157 +00:11:44,420 --> 00:11:47,080 +object that a person looks at wearing his glasses. + +158 +00:11:48,730 --> 00:11:51,590 +The light that enters the nodal point does not + +159 +00:11:51,590 --> 00:11:54,370 +change its path, as we know, whatever world you go + +160 +00:11:54,370 --> 00:11:57,030 +to, there is no refraction. The light that enters + +161 +00:11:57,030 --> 00:12:00,750 +the nodal point does not change its path for this + +162 +00:12:00,750 --> 00:12:04,450 +lens. Okay, it's true that it entered the nodal + +163 +00:12:04,450 --> 00:12:07,670 +point of the lens, but at the same time it passed + +164 +00:12:07,670 --> 00:12:11,230 +through the F-A of the eye, so F-A of the eye + +165 +00:12:11,230 --> 00:12:13,170 +means that when it wants to exit, it wants to exit + +166 +00:12:13,170 --> 00:12:16,250 +from the lens, and the lens parallel to the optical + +167 +00:12:16,250 --> 00:12:21,150 +axis. موازي لل optical axis يعني لو ال retina هنا + +168 +00:12:21,150 --> 00:12:26,050 +الحجم بتاعه هيك لو ال retina هنا الحجم بتاعه هيك + +169 +00:12:26,050 --> 00:12:29,170 +لو ال retina هنا الحجم بتاعه هيك بمعنى أخر لما + +170 +00:12:29,170 --> 00:12:31,950 +العين بتكون كبيرة جدا ال size بتاعها كبير و هذا + +171 +00:12:31,950 --> 00:12:36,210 +بنلاقيه في الmiopia يعني لما بتكون العين miopic ال + +172 +00:12:36,210 --> 00:12:42,430 +image بتضالها بنفس الحجم لما بتكون M-trop. It's the + +173 +00:12:42,430 --> 00:12:46,030 +same size. When the eye is short, hypermetropian, + +174 +00:12:46,130 --> 00:12:49,570 +it's known that the short eye with hypermetropian + +175 +00:12:49,570 --> 00:12:54,010 +axial length is short, also the retinal image size + +176 +00:12:54,010 --> 00:13:02,820 +does not differ. It is very important that the + +177 +00:13:02,820 --> 00:13:06,880 +nodal point of the lens that gives correction to + +178 +00:13:06,880 --> 00:13:09,800 +the refractive error and the focal point of the + +179 +00:13:09,800 --> 00:13:12,760 +eye to be adjacent to each other. + +180 +00:13:16,800 --> 00:13:20,720 +For example, if the eye have identical refractive + +181 +00:13:20,720 --> 00:13:24,520 +power and differ only in axial length, then + +182 +00:13:24,520 --> 00:13:28,000 +placing the lens at the anterior focal point of + +183 +00:13:28,000 --> 00:13:32,060 +each eye will produce retinal image identical in + +184 +00:13:32,060 --> 00:13:32,280 +size. + +185 +00:13:35,300 --> 00:13:40,400 +However, it is rare that the difference between the + +186 +00:13:40,400 --> 00:13:45,040 +eyes are purely, or is purely axial. In addition, the + +187 +00:13:45,040 --> 00:13:47,920 +un .. I mean .. Now, we want to talk about this + +188 +00:13:47,920 --> 00:13:49,880 +word that we talked about a while ago about the + +189 +00:13:49,880 --> 00:13:55,100 +Knapp's law, a very good word, Knapp's law only + +190 +00:13:55,100 --> 00:13:59,420 +applies to axial ametropia. What does axial + +191 +00:13:59,420 --> 00:14:01,780 +ametropia mean? It is a refractive error resulting + +192 +00:14:01,780 --> 00:14:08,430 +from the length of the eye. Either it's too long, so + +193 +00:14:08,430 --> 00:14:11,270 +it gives me myopia or too short, so it gives me + +1 + +223 +00:15:53,730 --> 00:15:57,150 +assume that there is a person who has axial + +224 +00:15:57,150 --> 00:15:58,970 +refractive error and the strength of the eye in + +225 +00:15:58,970 --> 00:16:02,330 +the right eye and the left eye is normal, but the + +226 +00:16:02,330 --> 00:16:05,430 +right eye is much longer, so it became myopia + +227 +00:16:05,430 --> 00:16:08,110 +because of its length, because of its length, and + +228 +00:16:08,110 --> 00:16:12,370 +we say okay, let's apply Knapp's law. We put the + +229 +00:16:12,370 --> 00:16:17,190 +correcting lens on the anterior focal point of the + +230 +00:16:17,190 --> 00:16:22,310 +eye. The anterior focal point is about 17 mm away + +231 +00:16:22,310 --> 00:16:25,110 +from the eye. The vertex distance of the lens + +232 +00:16:25,110 --> 00:16:29,340 +should be Back Vertex Distance, or BVD, and this is + +233 +00:16:29,340 --> 00:16:32,020 +in refraction. All students studying visual arts + +234 +00:16:32,020 --> 00:16:34,860 +or visual arts students study this in refraction. + +235 +00:16:35,300 --> 00:16:39,540 +The BVD is usually around 12 mm and sometimes 10 + +236 +00:16:39,540 --> 00:16:45,750 +mm, around 10 to 12 mm. أما إن أحط النضارة الـ back + +237 +00:16:45,750 --> 00:16:50,790 +vertex تاعتها على بعد 17 ملي، هذه مشكلة تانية، + +238 +00:16:50,790 --> 00:16:56,670 +وطبعا هذه من ناحية عملية صعبة، من ناحية عملية، + +239 +00:16:56,670 --> 00:16:59,810 +يعني تطبيقها صعب. In addition, the anterior focal + +240 +00:16:59,810 --> 00:17:03,910 +point of the eye is approximately 17 mili in front + +241 +00:17:03,910 --> 00:17:08,550 +of the cornea. Although it is possible to wear + +242 +00:17:08,550 --> 00:17:13,350 +glasses, so the spectacle lens is 17mm in front of + +243 +00:17:13,350 --> 00:17:19,570 +the eye. يعني ممكن ينعمل .. ممكن ينعمل glasses back + +244 +00:17:19,570 --> 00:17:25,750 +vertex distance تقريبا 17mm ولكن most people + +245 +00:17:25,750 --> 00:17:29,090 +prefer to wear them at a corneal vertex distance + +246 +00:17:29,090 --> 00:17:34,090 +من 10 إلى 15mm والمعتاد عندنا تقريبا 12mm. + +247 +00:17:36,730 --> 00:17:39,870 +Because the clinician is rarely certain that any + +248 +00:17:39,870 --> 00:17:43,670 +ametropia is purely axial, Knapp's law has limited + +249 +00:17:43,670 --> 00:17:48,290 +clinical application. Because when we check the + +250 +00:17:48,290 --> 00:17:51,110 +refractive error, we usually check the O2 + +251 +00:17:51,110 --> 00:17:54,850 +refractometer or the retinoscope as an objective + +252 +00:17:54,850 --> 00:17:57,550 +refraction and we do not measure the axial length + +253 +00:17:57,550 --> 00:18:00,670 +of the eye, so if a person has a refractive error, + +254 +00:18:00,770 --> 00:18:03,090 +we say he has a refractive error, but we do not + +255 +00:18:03,090 --> 00:18:04,790 +say what the details are, whether it is a + +256 +00:18:04,790 --> 00:18:07,570 +refractive error as a result of the increase or + +257 +00:18:07,570 --> 00:18:10,310 +decrease in eye strength, or that the length of + +258 +00:18:10,310 --> 00:18:14,600 +the eye طويل أو قصير. هذا الكلام ما بنفصل فيه ولما + +259 +00:18:14,600 --> 00:18:19,280 +بنقول غالبا ك .. كوادر طبية سواء طباء عيون أو + +260 +00:18:19,280 --> 00:18:21,940 +خصائين بصريات بنقول إن والله عنده refractive error + +261 +00:18:21,940 --> 00:18:26,260 +مثلا تلت درجات hypermetropia، درجتين astigmatism، + +262 +00:18:26,260 --> 00:18:29,640 +خمس درجات myopia، بس ما بنقولش هل ال myopia axial، + +263 +00:18:29,640 --> 00:18:33,900 +يعني نتجة عن طول مفرط للعين، ولا إنه قوة العين + +264 +00:18:33,900 --> 00:18:38,650 +كrefraction. In case of nuclear sclerosis, the + +265 +00:18:38,650 --> 00:18:44,250 +refractive index is high. We don't talk about this + +266 +00:18:44,250 --> 00:18:46,330 +in detail except rarely. + +267 +00:18:48,900 --> 00:18:51,220 +Since the situation is such that because the + +268 +00:18:51,220 --> 00:18:55,480 +clinician is rarely certain that any ametropia is + +269 +00:18:55,480 --> 00:18:58,780 +purely axial, Knapp's law has limited clinical + +270 +00:18:58,780 --> 00:19:02,360 +application. Unfortunately, although the benefits + +271 +00:19:02,360 --> 00:19:05,500 +of Knapp's law is that it really preserves the + +272 +00:19:05,500 --> 00:19:08,860 +retinal image size does not change, but there are + +273 +00:19:08,860 --> 00:19:11,820 +difficulties to face. The first difficulty is that + +274 +00:19:11,820 --> 00:19:14,560 +not all refractive errors are axial. Second + +275 +00:19:14,560 --> 00:19:18,120 +difficulty, it's hard to wear glasses, it's hard, + +276 +00:19:18,280 --> 00:19:20,740 +it's not normal that the glasses should be at the + +277 +00:19:20,740 --> 00:19:24,140 +back vertex, 17 millimeters away from the eye. + +278 +00:19:24,140 --> 00:19:27,460 +Third thing, when we examine children or any + +279 +00:19:27,460 --> 00:19:29,600 +patient, we don't differentiate between the + +280 +00:19:29,600 --> 00:19:32,260 +refractive error they have, whether it's axial or + +281 +00:19:32,260 --> 00:19:38,560 +not axial, therefore applications or or or did not + +282 +00:19:38,560 --> 00:19:43,660 +find the NAPS law. NAPS law applications in the + +283 +00:19:43,660 --> 00:19:46,400 +practical life with the patient. In the practical + +284 +00:19:46,400 --> 00:19:49,760 +life with the patient, but there are other benefits + +285 +00:19:49,760 --> 00:19:53,320 +from NAPS law. We will talk about it shortly, God + +286 +00:19:53,320 --> 00:19:59,220 +willing. Among NAPS law applications, the manual + +287 +00:19:59,220 --> 00:20:03,020 +lensmeter. The lensmeter is a device that measures + +288 +00:20:03,020 --> 00:20:06,140 +the strength of lenses and glasses that we use. + +289 +00:20:06,400 --> 00:20:07,580 +Some of them are manual and some of them are + +290 +00:20:07,580 --> 00:20:11,300 +automatic. Manual lensmeters make use of the same + +291 +00:20:11,300 --> 00:20:16,480 +principle, although for an entirely different + +292 +00:20:16,480 --> 00:20:20,240 +reason, in order to measure the strength of the + +293 +00:20:20,240 --> 00:20:23,540 +lens. There, we used to use them as glasses so + +294 +00:20:23,540 --> 00:20:26,580 +that the size of the retinal image would not + +295 +00:20:26,580 --> 00:20:27,920 +differ between the two eyes. + +296 +00:20:37,560 --> 00:20:41,980 +لما بطبق NAPSLOW على .. لما بطبق NAPSLOW على ال + +297 +00:20:41,980 --> 00:20:46,920 +lens meters, when applied to lens meters, NAPSLOW is + +298 +00:20:46,920 --> 00:20:50,320 +called Bédel principle. لما بنطبقه على ال lens + +299 +00:20:50,320 --> 00:20:54,040 +meter, أصبح اسمه مش NAPSLOW, أصبح اسمه Bédel + +300 +00:20:54,040 --> 00:21:01,100 +principle, مبدأ Bédel, و هو نفسه NAPSLOW. This is a + +301 +00:21:01,100 --> 00:21:04,180 +point. So when it is applied to the lensmeter, it + +302 +00:21:04,180 --> 00:21:07,500 +is called Badal Principle. Let's see what is meant + +303 +00:21:07,500 --> 00:21:10,980 +by Badal Principle. Badal Optometer, which + +304 +00:21:10,980 --> 00:21:13,060 +operates on the Badal Principle, the Badal + +305 +00:21:13,060 --> 00:21:17,300 +Optometer utilizes plus lens placed so that its + +306 +00:21:17,300 --> 00:21:20,900 +posterior focal plane is coincident with the + +307 +00:21:20,900 --> 00:21:25,890 +anterior focal plane of the eye. The Blast Lens + +308 +00:21:25,890 --> 00:21:30,950 +that we use in the Lens Meter, which is called + +309 +00:21:30,950 --> 00:21:33,810 +Gradal Optometer. This is the Blast Lens, this is + +310 +00:21:33,810 --> 00:21:37,790 +its FP, its posterior focus, which is applied to + +311 +00:21:37,790 --> 00:21:41,560 +the anterior focus of the eye. This F here is the + +312 +00:21:41,560 --> 00:21:45,360 +point FA of the eye and it is in the same way FB + +313 +00:21:45,360 --> 00:21:47,900 +of the lens of the device which is the Pedal + +314 +00:21:47,900 --> 00:21:51,320 +Optometer. The parallel rays that pass through the + +315 +00:21:51,320 --> 00:21:53,180 +head of the object, regardless of the distance of + +316 +00:21:53,180 --> 00:21:56,320 +the object, that is, I can try the object or move + +317 +00:21:56,320 --> 00:22:00,860 +it up or down in the lens meter. And it is meant in + +318 +00:22:00,860 --> 00:22:05,340 +the object of the glasses. So the rays that are + +319 +00:22:05,340 --> 00:22:08,500 +parallel to the optical axis will break and will + +320 +00:22:08,500 --> 00:22:11,960 +enter the FB of the lens at the same time it will + +321 +00:22:11,960 --> 00:22:14,780 +enter the FA of the eye and what enters the FA of + +322 +00:22:14,780 --> 00:22:16,600 +the optical system will come out parallel. + +323 +00:22:20,580 --> 00:22:23,820 +The retinal image size on the surface of the + +324 +00:22:23,820 --> 00:22:26,540 +retina in my eye as an examiner, I want to see the + +325 +00:22:26,540 --> 00:22:30,120 +power of the lens, whether I sent the object or + +326 +00:22:30,120 --> 00:22:35,400 +tried it, that is, the lens or the glasses, the + +327 +00:22:35,400 --> 00:22:39,580 +spectacles that are placed on the nose in the + +328 +00:22:39,580 --> 00:22:42,910 +lensmeter whether I raised it or lowered it, Or I + +329 +00:22:42,910 --> 00:22:47,690 +moved it up or down towards the lens, its size + +330 +00:22:47,690 --> 00:22:50,510 +remained, it didn't grow or shrink, its size + +331 +00:22:50,510 --> 00:22:57,590 +remained on my network as examiner one and the + +332 +00:22:57,590 --> 00:23:01,160 +other. It makes it easier for me to do the test. So + +333 +00:23:01,160 --> 00:23:04,340 +the beta of the optometer has the focal plane + +334 +00:23:04,340 --> 00:23:07,940 +coincident with the anterior focal plane of the + +335 +00:23:07,940 --> 00:23:11,020 +eye. So here is the posterior focal plane of the + +336 +00:23:11,020 --> 00:23:18,480 +lens and the anterior focal plane of the + +337 +00:23:18,480 --> 00:23:18,820 +eye. + +338 +00:23:22,730 --> 00:23:26,150 +And the posterior focal plane of the lens. So this + +339 +00:23:26,150 --> 00:23:28,630 +is one of the applications of NAPS logo, but with + +340 +00:23:28,630 --> 00:23:33,930 +a slight modification. We said that the nodal point + +341 +00:23:33,930 --> 00:23:37,370 +of the lens should be applied to the anterior + +342 +00:23:37,370 --> 00:23:39,590 +focal point of the eye. Here, there is a simple + +343 +00:23:39,590 --> 00:23:43,150 +modification, the anterior focal point and the + +344 +00:23:43,150 --> 00:23:45,490 +posterior focal point of the lens are adjacent to + +345 +00:23:45,490 --> 00:23:49,290 +each other. So, NAB's law is modified to a simple + +346 +00:23:49,290 --> 00:23:52,230 +modification called Bédel's principle. So, Bédel's + +347 +00:23:52,230 --> 00:23:56,630 +principle. There is another application. One type + +348 +00:23:56,630 --> 00:24:00,250 +of optometers used for performing objective + +349 +00:24:00,250 --> 00:24:03,610 +refraction is based on variation of NAB's law + +350 +00:24:03,610 --> 00:24:06,690 +wherein the posterior focal plane of the + +351 +00:24:06,690 --> 00:24:09,970 +correcting lens coincides with the anterior nodal + +352 +00:24:09,970 --> 00:24:11,590 +point of the eye. Another modification. + +353 +00:24:17,550 --> 00:24:22,070 +Posterior focus of the lens is equivalent to the + +354 +00:24:22,070 --> 00:24:25,910 +anterior nodal point of the eye. Retinal image size + +355 +00:24:25,910 --> 00:24:32,090 +remains the same. Posterior focus of the lens is + +356 +00:24:32,090 --> 00:24:39,650 +equivalent to the anterior nodal point of the eye. F + +357 +00:24:39,650 --> 00:24:43,430 +Sharta, which is the posterior focus of the lens, + +358 +00:24:43,710 --> 00:24:46,780 +all the rays are parallel. Each parallel radiation + +359 +00:24:46,780 --> 00:24:50,040 +of the optical axis will pass through FB, but here + +360 +00:24:50,040 --> 00:24:55,180 +FB is inside the eye, the FB lens is applied to + +361 +00:24:55,180 --> 00:24:57,300 +the nodal point. Of course, the nodal point is + +362 +00:24:57,300 --> 00:24:59,100 +extended in the eye because here the middle is + +363 +00:24:59,100 --> 00:25:01,720 +higher than the air density, so the nodal points + +364 +00:25:01,720 --> 00:25:04,380 +are extended towards the middle of the axis, so + +365 +00:25:04,380 --> 00:25:07,900 +the nodal points will be inside the eye, and this + +366 +00:25:07,900 --> 00:25:12,940 +is called a nagel optometer. We got two apps for + +367 +00:25:12,940 --> 00:25:17,100 +NAPS, the first one is called Beta Le Principle. + +368 +00:25:17,100 --> 00:25:21,240 +The posterior focus FB of the lens is applied to + +369 +00:25:21,240 --> 00:25:26,410 +the FA of the eye. The second application, FB of the + +370 +00:25:26,410 --> 00:25:29,370 +lens is applied to the nodal point of the eye to + +371 +00:25:29,370 --> 00:25:31,770 +the anterior nodal point of the eye, and in all + +372 +00:25:31,770 --> 00:25:36,310 +cases to keep the image size one no matter how far + +373 +00:25:36,310 --> 00:25:38,970 +the object is, which is the glasses that I check + +374 +00:25:38,970 --> 00:25:41,770 +its strength, the glasses that I check its strength + +375 +00:25:41,770 --> 00:25:44,990 +whether they are back or close, remains the size of + +376 +00:25:44,990 --> 00:25:48,670 +the image on my retina one, so. + +377 +00:25:54,000 --> 00:25:56,840 +The posterior focal plane of the correcting lens + +378 +00:25:56,840 --> 00:25:59,820 +coincides with the anterior nodal point of the + +379 +00:25:59,820 --> 00:26:03,220 +eye. The effect is the same. The other is one. + +380 +00:26:03,560 --> 00:26:07,420 +Retinal image size remains constant. In this + +381 +00:26:07,420 --> 00:26:10,000 +application, the law is called optometer + +382 +00:26:10,000 --> 00:26:10,580 +principle. + +383 +00:26:13,250 --> 00:26:17,450 +Bédel principle, here I call it optometer + +384 +00:26:17,450 --> 00:26:22,230 +principle. So when FB of the lens is applied to + +385 +00:26:22,230 --> 00:26:25,190 +the nodal point, this is the optometer principle. + +386 +00:26:25,590 --> 00:26:29,250 +When FB of the lens is applied to FA of the eye, + +387 +00:26:29,410 --> 00:26:33,190 +this is the Bédel principle. Also, a third benefit + +388 +00:26:33,190 --> 00:26:40,200 +from it. The optical engineers use a variation of + +389 +00:26:40,200 --> 00:26:43,640 +Knapp's law. This variation is called + +390 +00:26:43,640 --> 00:26:47,600 +telecentricity. The goal of telecentricity is to + +391 +00:26:47,600 --> 00:26:52,320 +improve the performance of telescopes and + +392 +00:26:52,320 --> 00:26:57,620 +microscopes. بغض النظر بغض النظر, regardless of the + +393 +00:26:57,620 --> 00:27:00,920 +name, سواء سميته telecentricity, سواء سميته pedal + +394 +00:27:00,920 --> 00:27:04,520 +principle, سواء سميته optometer principle, سواء + +395 +00:27:04,520 --> 00:27:07,640 +سميته NABS, اللي هو بغض النظر عن الاسم, the + +396 +00:27:07,640 --> 00:27:11,540 +principle remains the same. يعني هو نفس المبدأ بدون + +397 +00:27:11,540 --> 00:27:15,700 +أي تغير. هو نفس المبدأ بدون أي تغير. هتنتهي المحاضرة + +398 +00:27:15,700 --> 00:27:19,480 +عند هذه النقطة, ويعطيكم العافية والسلام عليكم ورحمة + +399 +00:27:19,480 --> 00:27:20,740 +الله وبركاته. diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0.srt new file mode 100644 index 0000000000000000000000000000000000000000..fdef8955801243d163fa4d2b8610b484d6f7b683 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0.srt @@ -0,0 +1,180 @@ + +1 +00:00:03,950 --> 00:00:06,010 +Now we have an example that we will solve using + +2 +00:00:06,010 --> 00:00:09,730 +the Lensmakers equation. We have an object on the + +3 +00:00:09,730 --> 00:00:13,010 +left of the spherical refracting surface at 50 cm. + +4 +00:00:13,610 --> 00:00:17,290 +We have an image inside the glass, also at a + +5 +00:00:17,290 --> 00:00:19,550 +distance of 50 cm from the spherical refracting + +6 +00:00:19,550 --> 00:00:25,090 +surface. The n is equal to 1.5 and the n of the + +7 +00:00:25,090 --> 00:00:27,590 +air is equal to refractive index 1. The only thing + +8 +00:00:27,590 --> 00:00:29,570 +that is unknown is that we have to find half of + +9 +00:00:29,570 --> 00:00:33,090 +the single refracting surface which is R. What is + +10 +00:00:33,090 --> 00:00:37,270 +R? We apply the lens maker equation minus N over O + +11 +00:00:37,270 --> 00:00:44,710 +plus N minus R equals N minus R over I minus 1 + +12 +00:00:44,710 --> 00:00:47,530 +over O which is 50 centimeters which is 5 out of + +13 +00:00:47,530 --> 00:00:51,290 +10 meters. The measurements must be in meters. N + +14 +00:00:51,290 --> 00:00:55,950 +minus N which is 1.5 minus 1 over R which is + +15 +00:00:55,950 --> 00:01:01,390 +present equals N minus 1.5 over I which is the + +16 +00:01:01,390 --> 00:01:03,330 +distance between the two points is 10 meters the + +17 +00:01:03,330 --> 00:01:06,170 +distance between the two points is 10 meters the + +18 +00:01:06,170 --> 00:01:10,170 +distance between the two points is 10 meters the + +19 +00:01:10,170 --> 00:01:10,230 +distance between the two points is 10 meters the + +20 +00:01:10,230 --> 00:01:10,250 +distance between the two points is 10 meters the + +21 +00:01:10,250 --> 00:01:10,350 +distance between the two points is 10 meters the + +22 +00:01:10,350 --> 00:01:10,570 +distance between the two points is 10 meters the + +23 +00:01:10,570 --> 00:01:10,770 +distance between the two points is 10 meters the + +24 +00:01:10,770 --> 00:01:11,070 +distance between the two points is 10 meters the + +25 +00:01:11,070 --> 00:01:12,270 +distance between the two points is 10 meters the + +26 +00:01:12,270 --> 00:01:12,890 +distance between the two points is 10 meters the + +27 +00:01:12,890 --> 00:01:13,150 +distance between the two points is 10 meters the + +28 +00:01:13,150 --> 00:01:15,750 +distance between the two points is 10 meters the + +29 +00:01:15,750 --> 00:01:17,010 +distance between the two points is 10 meters the + +30 +00:01:17,010 --> 00:01:27,190 +distance between the two points is 10 + +31 +00:01:29,640 --> 00:01:34,780 +نص على R لها دل قيمة هى القيمة هنكلها عنها هى تانى + +32 +00:01:34,780 --> 00:01:39,700 +تساوي تلاتة متر أصناقس واحد زاقف هى اللى صارت + +33 +00:01:39,700 --> 00:01:44,520 +بالزاقف هننطبق عنها هى تانى اتنين متر أصناقس واحد + +34 +00:01:44,520 --> 00:01:58,430 +نكمل بنقول نص على R تساوي 3,2,5,1,2,3,2,5,1,2,3,2,3 + +35 +00:01:58,430 --> 00:02:01,470 +,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2 + +36 +00:02:01,470 --> 00:02:09,050 +,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3 + +37 +00:02:09,050 --> 00:02:10,910 +,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2,3,2, + +38 +00:02:11,800 --> 00:02:15,660 +meter plus minus one half over five is equal to + +39 +00:02:15,660 --> 00:02:18,500 +one out of ten and meter plus minus one when it + +40 +00:02:18,500 --> 00:02:21,520 +comes out, it becomes a calm meter, one out of ten + +41 +00:02:21,520 --> 00:02:24,600 +meters, which is ten centimeters. So, half of the + +42 +00:02:24,600 --> 00:02:26,860 +diameter of the spherical refracting surface is + +43 +00:02:26,860 --> 00:02:29,640 +ten centimeters. Yes, here it is equal to ten + +44 +00:02:29,640 --> 00:02:32,200 +centimeters. And this is the complete story. May + +45 +00:02:32,200 --> 00:02:34,660 +God give you health and peace, may God's mercy be diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..af3703396e9c373ac64dd57045e0805dda92d95a --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/5CUCwjpHdM0_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3137, "start": 3.95, "end": 31.37, "text": " Now we have an example that we will solve using the Lensmakers equation. We have an object on the left of the spherical refracting surface at 50 cm. We have an image inside the glass, also at a distance of 50 cm from the spherical refracting surface. The n is equal to 1.5 and the n of the air is equal to refractive index 1. 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What is R? We apply the lens maker equation minus N over O plus N minus R equals N minus R over I minus 1 over O which is 50 centimeters which is 5 out of 10 meters. The measurements must be in meters. 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But we are going to take another method. I brought it with me and you brought it with you. It is called algebraic algebra. 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a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw.srt new file mode 100644 index 0000000000000000000000000000000000000000..7867a87b334e5975bb36033f6e04267d746fa520 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw.srt @@ -0,0 +1,867 @@ + +1 +00:00:01,910 --> 00:00:04,990 +بسم الله الرحمن الرحيم، بنواصل محاضرات الـ + +2 +00:00:04,990 --> 00:00:09,110 +Geometric Optics، ووصلنا عند موضوع Paraxial Ray + +3 +00:00:09,110 --> 00:00:14,190 +Tracing Through Concave Spherical Lenses، وبمعنى + +4 +00:00:14,190 --> 00:00:18,630 +تتبع الأشعة المارة من الـ Concave Spherical Lenses + +5 +00:00:18,630 --> 00:00:22,140 +أو الـ Minus Spherical Lenses، بنذكر أنه احنا In + +6 +00:00:22,140 --> 00:00:26,140 +the previous lectures, we followed the rays in the + +7 +00:00:26,140 --> 00:00:28,440 +plus lens and we said that in order to reach the + +8 +00:00:28,440 --> 00:00:33,600 +image, we must draw two rays, as we see in the + +9 +00:00:33,600 --> 00:00:37,340 +image if we go to the magnifying glass. The first + +10 +00:00:37,340 --> 00:00:40,480 +ray is equal to the optical axis, which is the red + +11 +00:00:40,480 --> 00:00:43,640 +color, when it leaves the plus lens, it passes + +12 +00:00:43,640 --> 00:00:46,440 +through the FB, the posterior focus, and keeps + +13 +00:00:46,440 --> 00:00:49,880 +going to the plus optical infinity. The second ray + +14 +00:00:49,880 --> 00:00:52,040 +passes through the FA, which is the yellow color. + +15 +00:00:53,070 --> 00:00:55,150 +As long as it passes through the F-A axis, it is + +16 +00:00:55,150 --> 00:00:57,210 +very important that it is parallel to the optical + +17 +00:00:57,210 --> 00:01:00,670 +axis. The intersection of the two rays that passes + +18 +00:01:00,670 --> 00:01:02,890 +through the F-B axis and is parallel determines + +19 +00:01:02,890 --> 00:01:06,310 +the image point. If it starts from A, it + +20 +00:01:06,310 --> 00:01:09,230 +determines A as a condition. When I drop a column + +21 +00:01:09,230 --> 00:01:11,870 +from it, this is the image or the height of the + +22 +00:01:11,870 --> 00:01:13,910 +image. The image will be in this area. The third + +23 +00:01:13,910 --> 00:01:17,210 +ray is the central ray or the chief ray that + +24 +00:01:17,210 --> 00:01:20,600 +passes through the nodal point. مفروض إنه يمر في + +25 +00:01:20,600 --> 00:01:23,940 +نقطة تقاطع الشعاع الأول والتاني اللي هو الشعاعين + +26 +00:01:23,940 --> 00:01:29,640 +الأحمر والأصفر فهذا هو ..The rules that we put or + +27 +00:01:29,640 --> 00:01:33,620 +that scientists concluded in tracking the para + +28 +00:01:33,620 --> 00:01:39,320 +-axial ray or rays through convex lens. The same + +29 +00:01:39,320 --> 00:01:45,100 +rules apply to the concave lenses with some simple + +30 +00:01:45,100 --> 00:01:46,480 +adjustments. What are the adjustments? The + +31 +00:01:46,480 --> 00:01:48,120 +adjustments because it is known that the concave + +32 +00:01:48,120 --> 00:01:52,730 +lens has a back and FP in front, so they are + +33 +00:01:52,730 --> 00:01:56,710 +reversed compared to the plus lenses, but the + +34 +00:01:56,710 --> 00:02:01,390 +rules are the same. We say para-axial ray tracing + +35 +00:02:01,390 --> 00:02:09,320 +through concave spherical lenses, the principles of + +36 +00:02:09,320 --> 00:02:12,960 +para-axial ray tracing are the same for concave + +37 +00:02:12,960 --> 00:02:19,160 +spherical lenses as for convex spherical lenses if + +38 +00:02:19,160 --> 00:02:26,400 +we have for example a lens minus two diopter lens, + +39 +00:02:26,400 --> 00:02:32,540 +its fa is fifty centimeters behind the lens, behind + +40 +00:02:32,540 --> 00:02:35,900 +the lens, behind the lens means that the fa is on + +41 +00:02:35,900 --> 00:02:39,620 +the right and the b is on the left. أول شيء by + +42 +00:02:39,620 --> 00:02:43,320 +definition, by definition a ray of light directed + +43 +00:02:43,320 --> 00:02:47,180 +through FA will exits the lens parallel to the + +44 +00:02:47,180 --> 00:02:51,900 +optical axis. أي .. أي شعاع .. أي شعاع بيمر في ال + +45 +00:02:51,900 --> 00:02:56,680 +FA أو مش بيمر في ال FA بيكون directed باتجاه ال FA + +46 +00:02:56,680 --> 00:03:02,570 +موجه باتجاه ال FA سوف يخرج من العدسة equal to the + +47 +00:03:02,570 --> 00:03:05,670 +optical axis, let's see where this radiation is, + +48 +00:03:05,930 --> 00:03:09,330 +in the plus lens, in the plus lens, FA in front, + +49 +00:03:09,450 --> 00:03:11,290 +so the radiation that really passes through it, + +50 +00:03:11,390 --> 00:03:14,230 +that really passes through it, will come out equal + +51 +00:03:14,230 --> 00:03:18,880 +to the optical axis, while in the concave lens. The + +52 +00:03:18,880 --> 00:03:22,580 +beam that is going towards it, if left without + +53 +00:03:22,580 --> 00:03:25,640 +lens, will pass through this point and will come + +54 +00:03:25,640 --> 00:03:28,180 +out parallel. This point is the fa of the minus + +55 +00:03:28,180 --> 00:03:31,000 +lens. So in the case of the plus lens, we say that + +56 +00:03:31,000 --> 00:03:34,020 +the beam that passes through the fa will come out + +57 +00:03:34,020 --> 00:03:37,280 +parallel. In the case of the minus lens, the beam + +58 +00:03:37,280 --> 00:03:40,520 +that is directed towards F-A, it will not follow + +59 +00:03:40,520 --> 00:03:41,900 +its trajectory because it will collide with the + +60 +00:03:41,900 --> 00:03:44,540 +lens. The beam that is directed towards F-A will + +61 +00:03:44,540 --> 00:03:46,980 +come out parallel. Let's see in the simulation how + +62 +00:03:46,980 --> 00:03:51,620 +this is going to happen. I have a lens. Of course, + +63 +00:03:51,680 --> 00:03:56,360 +the lens is minus five, minus five. Therefore, we + +64 +00:03:56,360 --> 00:04:02,290 +want the focal point to be F-A behind, here. On a + +65 +00:04:02,290 --> 00:04:08,270 +distance of 20 cm and Fp on a distance of 20 cm on + +66 +00:04:08,270 --> 00:04:13,990 +the left. Fp here at 700 at the point 700 and Fp at + +67 +00:04:13,990 --> 00:04:18,310 +the point 300. Both are 20 cm away from the lens + +68 +00:04:18,310 --> 00:04:21,710 +because the lens has a force of 5 diopters minus 5. + +69 +00:04:21,710 --> 00:04:26,170 +Why? Because the focal length is minus 200 mm, that + +70 +00:04:26,170 --> 00:04:29,890 +is 20 cm. Let's see if I have rays + +71 +00:04:33,570 --> 00:04:40,710 +or lightning passes through the + +72 +00:04:40,710 --> 00:04:42,170 +point F-A, means that it passes through the point + +73 +00:04:42,170 --> 00:04:51,890 +700. Let's + +74 +00:04:51,890 --> 00:04:56,450 +see the extension of this lightning, this is for + +75 +00:04:56,450 --> 00:05:00,310 +the back extension, for the back. Let's go back + +76 +00:05:04,340 --> 00:05:08,800 +ال extension بتاع هذا الشعاع بيمر مئة بالمئة بيمر + +77 +00:05:08,800 --> 00:05:18,440 +في النقطة سبعمية، بالنقطة سبعمية، بمعنى آخر، + +78 +00:05:18,440 --> 00:05:23,300 +كيف عرف أنه بيمر في النقطة سبعمية؟ لإنه خرج موازي + +79 +00:05:23,300 --> 00:05:27,860 +من .. موازي لل optical axis، موازي لل optical axis. + +80 +00:05:33,830 --> 00:05:43,810 +Okay, so, no, it's away from being parallel. Okay, + +81 +00:05:44,310 --> 00:05:46,950 +it's parallel from the lens, why? Because it's + +82 +00:05:46,950 --> 00:05:49,470 +directed towards the face, this is the first rule, + +83 +00:05:49,570 --> 00:05:53,730 +the first rule, if the beam is directed towards + +84 +00:05:53,730 --> 00:05:57,370 +the face, it's parallel, it's parallel, let's + +85 +00:05:57,370 --> 00:06:02,240 +continue. Similarly, a virtual object in the + +86 +00:06:02,240 --> 00:06:06,440 +anterior focal plane of a concave lens will image + +87 +00:06:06,440 --> 00:06:07,740 +to plus infinity. + +88 +00:06:20,070 --> 00:06:23,430 +This ray is a convergent ray, if we imagine that + +89 +00:06:23,430 --> 00:06:26,170 +the optical axis is a ray and this is a ray, these + +90 +00:06:26,170 --> 00:06:28,690 +are convergent rays, which means that the object + +91 +00:06:28,690 --> 00:06:30,670 +here is a virtual object, as long as the + +92 +00:06:30,670 --> 00:06:35,470 +convergent ray is a virtual object present at the + +93 +00:06:35,470 --> 00:06:39,960 +anterior focal plane, the image will be in the plus + +94 +00:06:39,960 --> 00:06:43,500 +infinity, in the plus infinity. Of course, virtual + +95 +00:06:43,500 --> 00:06:49,740 +object, which is a convergent, which is supposed + +96 +00:06:49,740 --> 00:06:54,480 +to come from a convergent lens, a plus convergent + +97 +00:06:54,480 --> 00:06:57,080 +lens, will form an image here. In the anterior + +98 +00:06:57,080 --> 00:07:00,540 +focal plane of the minus lens. Of course, any + +99 +00:07:00,540 --> 00:07:03,520 +virtual object in the anterior focal plane exists. + +100 +00:07:04,640 --> 00:07:06,940 +And if I have a minus lens in the anterior focal + +101 +00:07:06,940 --> 00:07:10,000 +plane of the minus lens, the image of this virtual + +102 +00:07:10,000 --> 00:07:16,480 +object will be in the plus optical infinity. So, + +103 +00:07:16,980 --> 00:07:20,500 +similarly, a virtual object in the anterior focal + +104 +00:07:20,500 --> 00:07:24,400 +plane of a concave lens will image at plus + +105 +00:07:24,400 --> 00:07:26,920 +infinity. Okay, let's come to the second + +106 +00:07:26,920 --> 00:07:30,180 +radiation, a light or ray of light entering the + +107 +00:07:30,180 --> 00:07:34,930 +lensparallel to the optical axis will pass through + +108 +00:07:34,930 --> 00:07:39,670 +the posterior focus after exiting the lens, let's + +109 +00:07:39,670 --> 00:07:44,170 +see this on the plus lens, how if I have a beam + +110 +00:07:44,170 --> 00:07:46,750 +parallel to the optical axis when it comes out of + +111 +00:07:46,750 --> 00:07:53,510 +the lens it enters FB in the minus lens. In the + +112 +00:07:53,510 --> 00:07:58,530 +minus lens, if parallel to the optical axis, when it + +113 +00:07:58,530 --> 00:08:01,930 +comes out of the lens, it is distorted. Its length + +114 +00:08:01,930 --> 00:08:05,230 +goes into FB. Its length goes into FB. Let's see + +115 +00:08:05,230 --> 00:08:08,690 +this issue in simulation. Let's say we have a + +116 +00:08:08,690 --> 00:08:12,310 +parallel beam. Let's bring another ray. This is a + +117 +00:08:12,310 --> 00:08:13,730 +single ray and this is its duplication. + +118 +00:08:16,870 --> 00:08:21,050 +Let's make it parallel to the optical axis. + +119 +00:08:27,080 --> 00:08:32,080 +Let's see its length. Exactly it entered the point + +120 +00:08:32,080 --> 00:08:36,320 +300. Exactly it entered the point 300 which is in + +121 +00:08:36,320 --> 00:08:38,920 +the posterior focus of the minus lens. We said that + +122 +00:08:38,920 --> 00:08:43,000 +the posterior focus is 20 cm away. Let's go back to + +123 +00:08:43,000 --> 00:08:47,200 +this step to clarify things for us. So, the first + +124 +00:08:47,200 --> 00:08:55,190 +ray is directed towards F-A. Directed, it doesn't go + +125 +00:08:55,190 --> 00:09:00,130 +through FA, but it's directed towards FA, it's + +126 +00:09:00,130 --> 00:09:03,170 +equal to the optical axis. Second example, it's + +127 +00:09:03,170 --> 00:09:05,610 +equal to the optical axis, it's equal to the + +128 +00:09:05,610 --> 00:09:09,070 +optical axis. When it comes out of the lens, it's + +129 +00:09:09,070 --> 00:09:12,290 +tilted, its extension enters FB, its extension + +130 +00:09:12,290 --> 00:09:14,630 +enters FB. Now + +131 +00:09:19,190 --> 00:09:22,870 +Similarly, real object at minus optical infinity + +132 +00:09:22,870 --> 00:09:26,370 +will produce virtual image in the posterior focal + +133 +00:09:26,370 --> 00:09:29,810 +plane of a concave lens. يعني لما بيكون عندي + +134 +00:09:29,810 --> 00:09:36,550 +virtual object .. virtual .. او real object عفوا + +135 +00:09:36,550 --> 00:09:40,530 +real object في ال minus optical infinity جاية منه + +136 +00:09:40,530 --> 00:09:44,240 +الأشعة. The minus lens is overshadowed by the minus + +137 +00:09:44,240 --> 00:09:47,520 +lens, resulting in a virtual image in the + +138 +00:09:47,520 --> 00:09:52,440 +posterior focal plane. + +139 +00:09:52,440 --> 00:09:56,600 +Now, it is very important that the third beam, + +140 +00:10:00,300 --> 00:10:06,500 +which passes through the nodal point, it doesn't + +141 +00:10:06,500 --> 00:10:09,080 +change its direction. So there is a parallel beam + +142 +00:10:09,080 --> 00:10:12,700 +to the optical axis that is stretched. The beam is + +143 +00:10:12,700 --> 00:10:14,520 +parallel to the optical axis that is stretched. + +144 +00:10:15,020 --> 00:10:19,600 +Its length enters FB. The second beam is directed + +145 +00:10:19,600 --> 00:10:25,160 +towards FA. It comes out parallel. The third beam + +146 +00:10:25,160 --> 00:10:27,740 +passes through the nodal point. Nothing happens to + +147 +00:10:27,740 --> 00:10:33,160 +it. The three rays that came out of the minus lens. + +148 +00:10:34,230 --> 00:10:37,070 +This is the first ray and the second and the third. + +149 +00:10:37,070 --> 00:10:40,270 +Divergent ray, so the image is virtual and cannot + +150 +00:10:40,270 --> 00:10:43,490 +form a real image. Where would it be if we extend + +151 +00:10:43,490 --> 00:10:47,130 +these three rays to meet at one point? We will see + +152 +00:10:47,130 --> 00:10:51,670 +this in the simulation, but we must add the third + +153 +00:10:51,670 --> 00:10:59,210 +ray. Duplicate + +154 +00:10:59,210 --> 00:11:06,790 +it and make it more than nodal point, these are the + +155 +00:11:06,790 --> 00:11:12,690 +three rays now we draw the object. This is my + +156 +00:11:12,690 --> 00:11:25,390 +object which is .. no, we + +157 +00:11:25,390 --> 00:11:31,350 +use the blocker to draw the object. + +158 +00:11:43,940 --> 00:11:47,000 +This is the object with the brown color. We want to + +159 +00:11:47,000 --> 00:11:52,780 +see where the image should be formed. The image is + +160 +00:11:52,780 --> 00:11:55,520 +formed on the extensions of these different + +161 +00:11:55,520 --> 00:11:57,860 +elements. This extension to the back, and this + +162 +00:11:57,860 --> 00:12:00,080 +extension to the back, and this extension to the + +163 +00:12:00,080 --> 00:12:06,040 +back. We come here and make a duplication of the + +164 +00:12:06,040 --> 00:12:06,580 +blocker. + +165 +00:12:20,540 --> 00:12:28,700 +هذه الصورة مصدرة virtual erect مصدرة virtual erect + +166 +00:12:28,700 --> 00:12:35,280 +إذن + +167 +00:12:35,280 --> 00:12:41,450 +هذه الصورة، هذه الجسم. And this is the picture. The + +168 +00:12:41,450 --> 00:12:44,310 +picture consists of the rays that came out + +169 +00:12:44,310 --> 00:12:47,190 +separately from the minus lens. As the picture I + +170 +00:12:47,190 --> 00:12:51,910 +have here shows. As the picture I have here shows. I + +171 +00:12:51,910 --> 00:12:54,390 +have the first ray parallel to the optical axis, + +172 +00:12:54,570 --> 00:12:57,690 +it comes out, it spreads, its range goes into FB. + +173 +00:12:57,690 --> 00:13:02,130 +The second ray is directed towards FA, it did not + +174 +00:13:02,130 --> 00:13:05,410 +enter FA, but it is directed towards FA. It will + +175 +00:13:05,410 --> 00:13:07,170 +collide with the lens, so it will come out + +176 +00:13:07,170 --> 00:13:11,040 +parallel. The third ray will enter the nodal point + +177 +00:13:11,040 --> 00:13:13,720 +and will not change its path. The first, second + +178 +00:13:13,720 --> 00:13:16,000 +and third rays are divergent rays, so the image is + +179 +00:13:16,000 --> 00:13:18,480 +virtual. Where does the image meet? Does it need + +180 +00:13:18,480 --> 00:13:20,380 +calculations? No, it does not need calculations. + +181 +00:13:20,860 --> 00:13:22,560 +It only needs to be extended and the drawing + +182 +00:13:22,560 --> 00:13:24,340 +should be accurate. If the drawing is accurate, + +183 +00:13:24,540 --> 00:13:28,450 +the rays will meet at one point. Things that are + +184 +00:13:28,450 --> 00:13:32,950 +backward will meet in one point, this is the place + +185 +00:13:32,950 --> 00:13:35,770 +of the image, this is the place of the image so + +186 +00:13:35,770 --> 00:13:41,050 +this case must be very clear, must be clear, this is + +187 +00:13:41,050 --> 00:13:46,450 +an example of minus or para axial ray tracing + +188 +00:13:46,450 --> 00:13:52,070 +using minus spherical lens. Minus spherical lens. + +189 +00:13:52,070 --> 00:13:54,550 +Let's see if they give examples or not. + +190 +00:14:01,130 --> 00:14:06,250 +Let's take the example of the minus 2 diopter lens + +191 +00:14:06,250 --> 00:14:14,830 +and see how it works. I + +192 +00:14:14,830 --> 00:14:20,370 +have + +193 +00:14:20,370 --> + +223 +00:17:57,180 --> 00:18:02,080 +nodal point will not change its path, will not + +224 +00:18:02,080 --> 00:18:03,120 +change its path + +225 +00:18:07,170 --> 00:18:10,370 +Okay, now we're going to do the extension of the + +226 +00:18:10,370 --> 00:18:13,170 +three rays. We're going to see that the three rays + +227 +00:18:13,170 --> 00:18:19,050 +make a vertical picture, that is upright, virtual, + +228 +00:18:20,050 --> 00:18:22,910 +minified. How do we know it's minified? Of course, + +229 +00:18:23,450 --> 00:18:31,870 +it's a miniature compared to the body. This + +230 +00:18:31,870 --> 00:18:34,330 +is the body, put it in its right place + +231 +00:18:53,580 --> 00:19:03,620 +this is the height of the body and this is the + +232 +00:19:03,620 --> 00:19:05,660 +picture, we will put the picture in its correct + +233 +00:19:05,660 --> 00:19:08,260 +place too, but we will make it smaller + +234 +00:19:28,770 --> 00:19:33,670 +So, the rule says that regardless of the location + +235 +00:19:33,670 --> 00:19:38,750 +of the body, whether it is inside FP or outside + +236 +00:19:38,750 --> 00:19:42,870 +FP, or wherever, always the picture under the + +237 +00:19:42,870 --> 00:19:48,030 +minus lens will be miniatured and customizable and + +238 +00:19:48,030 --> 00:19:50,910 +virtual, miniatured and customizable and virtual, + +239 +00:19:51,130 --> 00:19:52,790 +and consequently you will have + +240 +00:19:55,780 --> 00:20:01,020 +The image is always miniatured and virtual, so + +241 +00:20:01,020 --> 00:20:06,460 +this image is called the minus lens, and I can + +242 +00:20:06,460 --> 00:20:09,420 +raise the image and divide it by the height of the + +243 +00:20:09,420 --> 00:20:13,140 +object, and I get the transference magnification, + +244 +00:20:13,220 --> 00:20:18,040 +transference magnification. We stop at the lecture + +245 +00:20:18,040 --> 00:20:21,400 +of objects and images at infinity, and God bless + +246 +00:20:21,400 --> 00:20:22,960 +you and peace be upon you diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..967c08282e22d96d5500a1f6275cfa8655a0e17b --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_postprocess.srt @@ -0,0 +1,984 @@ +1 +00:00:01,910 --> 00:00:04,990 +بسم الله الرحمن الرحيم، بنواصل محاضرات الـ + +2 +00:00:04,990 --> 00:00:09,110 +Geometric Optics، ووصلنا عند موضوع Paraxial Ray + +3 +00:00:09,110 --> 00:00:14,190 +Tracing Through Concave Spherical Lenses، وبمعنى + +4 +00:00:14,190 --> 00:00:18,630 +تتبع الأشعة المارة من الـ Concave Spherical Lenses + +5 +00:00:18,630 --> 00:00:22,140 +أو الـ Minus Spherical Lenses، بنذكر أنه احناIn + +6 +00:00:22,140 --> 00:00:26,140 +the previous lectures, we followed the rays in the + +7 +00:00:26,140 --> 00:00:28,440 +plus lens and we said that in order to reach the + +8 +00:00:28,440 --> 00:00:33,600 +image, we must draw two rays, as we see in the + +9 +00:00:33,600 --> 00:00:37,340 +image if we go to the magnifying glassThe first + +10 +00:00:37,340 --> 00:00:40,480 +ray is equal to the optical axis, which is the red + +11 +00:00:40,480 --> 00:00:43,640 +color, when it leaves the plus lens, it passes + +12 +00:00:43,640 --> 00:00:46,440 +through the FB, the posterior focus, and keeps + +13 +00:00:46,440 --> 00:00:49,880 +going to the plus optical infinity. The second ray + +14 +00:00:49,880 --> 00:00:52,040 +passes through the FA, which is the yellow color. + +15 +00:00:53,070 --> 00:00:55,150 +As long as it passes through the F-A axis, it is + +16 +00:00:55,150 --> 00:00:57,210 +very important that it is parallel to the optical + +17 +00:00:57,210 --> 00:01:00,670 +axis. The intersection of the two rays that passes + +18 +00:01:00,670 --> 00:01:02,890 +through the F-B axis and is parallel determines + +19 +00:01:02,890 --> 00:01:06,310 +the image point. If it starts from A, it + +20 +00:01:06,310 --> 00:01:09,230 +determines A as a condition. When I drop a column + +21 +00:01:09,230 --> 00:01:11,870 +from it, this is the image or the height of the + +22 +00:01:11,870 --> 00:01:13,910 +image. The image will be in this area. The third + +23 +00:01:13,910 --> 00:01:17,210 +ray is the central ray or the chief ray that + +24 +00:01:17,210 --> 00:01:20,600 +passes through the nodal point.مفروض إنه يمر في + +25 +00:01:20,600 --> 00:01:23,940 +نقطة تقاطع الشعاع الأول والتاني اللي هو الشعاعين + +26 +00:01:23,940 --> 00:01:29,640 +الأحمر والأصفر فهذا هو ..The rules that we put or + +27 +00:01:29,640 --> 00:01:33,620 +that scientists concluded in tracking the para + +28 +00:01:33,620 --> 00:01:39,320 +-axial ray or rays through convex lens The same + +29 +00:01:39,320 --> 00:01:45,100 +rules apply to the concave lenses with some simple + +30 +00:01:45,100 --> 00:01:46,480 +adjustments What are the adjustments? The + +31 +00:01:46,480 --> 00:01:48,120 +adjustments because it is known that the concave + +32 +00:01:48,120 --> 00:01:52,730 +lens has a backand FP in front, so they are + +33 +00:01:52,730 --> 00:01:56,710 +reversed compared to the plus lenses, but the + +34 +00:01:56,710 --> 00:02:01,390 +rules are the same. We say para-axial ray tracing + +35 +00:02:01,390 --> 00:02:09,320 +through concave spherical lenses, the principlesof + +36 +00:02:09,320 --> 00:02:12,960 +para-axial ray tracing are the same for concave + +37 +00:02:12,960 --> 00:02:19,160 +spherical lenses as for convex spherical lenses if + +38 +00:02:19,160 --> 00:02:26,400 +we have for example a lens minus two diopter lens + +39 +00:02:26,400 --> 00:02:32,540 +its fa is fifty centimeters behind the lens behind + +40 +00:02:32,540 --> 00:02:35,900 +the lens behind the lens means that the fa is on + +41 +00:02:35,900 --> 00:02:39,620 +the right and the b is on the leftأول شيء by + +42 +00:02:39,620 --> 00:02:43,320 +definition by definition a ray of light directed + +43 +00:02:43,320 --> 00:02:47,180 +through FA will exits the lens parallel to the + +44 +00:02:47,180 --> 00:02:51,900 +optical axis أي .. أي شعاع .. أي شعاع بيمر في ال + +45 +00:02:51,900 --> 00:02:56,680 +FA أو مش بيمر في ال FA بيكون directed باتجاه ال FA + +46 +00:02:56,680 --> 00:03:02,570 +موجه باتجاه ال FA سوف يخرج من العدسةequal to the + +47 +00:03:02,570 --> 00:03:05,670 +optical axis, let's see where this radiation is, + +48 +00:03:05,930 --> 00:03:09,330 +in the plus lens, in the plus lens, FA in front, + +49 +00:03:09,450 --> 00:03:11,290 +so the radiation that really passes through it, + +50 +00:03:11,390 --> 00:03:14,230 +that really passes through it, will come out equal + +51 +00:03:14,230 --> 00:03:18,880 +to the optical axis, while in the concave lensThe + +52 +00:03:18,880 --> 00:03:22,580 +beam that is going towards it, if left without + +53 +00:03:22,580 --> 00:03:25,640 +lens, will pass through this point and will come + +54 +00:03:25,640 --> 00:03:28,180 +out parallel. This point is the fa of the minus + +55 +00:03:28,180 --> 00:03:31,000 +lens. So in the case of the plus lens, we say that + +56 +00:03:31,000 --> 00:03:34,020 +the beam that passes through the fa will come out + +57 +00:03:34,020 --> 00:03:37,280 +parallel. In the case of the minus lens,The beam + +58 +00:03:37,280 --> 00:03:40,520 +that is directed towards F-A, it will not follow + +59 +00:03:40,520 --> 00:03:41,900 +its trajectory because it will collide with the + +60 +00:03:41,900 --> 00:03:44,540 +lens The beam that is directed towards F-A will + +61 +00:03:44,540 --> 00:03:46,980 +come out parallel Let's see in the simulation how + +62 +00:03:46,980 --> 00:03:51,620 +this is going to happen I have a lens Of course, + +63 +00:03:51,680 --> 00:03:56,360 +the lens is minus five, minus five Therefore, we + +64 +00:03:56,360 --> 00:04:02,290 +want the focal point to be F-A behind, hereOn a + +65 +00:04:02,290 --> 00:04:08,270 +distance of 20 cm and Fp on a distance of 20 cm on + +66 +00:04:08,270 --> 00:04:13,990 +the left Fp here at 700 at the point 700 and Fp at + +67 +00:04:13,990 --> 00:04:18,310 +the point 300 both are 20 cm away from the lens + +68 +00:04:18,310 --> 00:04:21,710 +because the lens has a force of 5 diopters minus 5 + +69 +00:04:21,710 --> 00:04:26,170 +why? because the focal length is minus 200 mm that + +70 +00:04:26,170 --> 00:04:29,890 +is 20 cm let's see if I have rays + +71 +00:04:33,570 --> 00:04:40,710 +or lightning passes through the + +72 +00:04:40,710 --> 00:04:42,170 +point F A means that it passes through the point + +73 +00:04:42,170 --> 00:04:51,890 +700 let's + +74 +00:04:51,890 --> 00:04:56,450 +see the extension of this lightning this is for + +75 +00:04:56,450 --> 00:05:00,310 +the back extension for the back let's go back + +76 +00:05:04,340 --> 00:05:08,800 +ال extension بتاع هذا الشعاع بيمر مئة بالمئة بيمر + +77 +00:05:08,800 --> 00:05:18,440 +في النقطة سبعمية، بالنقطة سبعمية، بمعنى آخر، + +78 +00:05:18,440 --> 00:05:23,300 +كيف عرف أنه بيمر في النقطة سبعمية؟ لإنه خرج موازي + +79 +00:05:23,300 --> 00:05:27,860 +من .. موازي لل optical axis، موازي لل optical axis + +80 +00:05:33,830 --> 00:05:43,810 +Okay, so, no, it's away from being parallel Okay, + +81 +00:05:44,310 --> 00:05:46,950 +it's parallel from the lens, why? Because it's + +82 +00:05:46,950 --> 00:05:49,470 +directed towards the face, this is the first rule, + +83 +00:05:49,570 --> 00:05:53,730 +the first rule, if the beam is directed towards + +84 +00:05:53,730 --> 00:05:57,370 +the face, it's parallel, it's parallel, let's + +85 +00:05:57,370 --> 00:06:02,240 +continueSimilarly, a virtual object in the + +86 +00:06:02,240 --> 00:06:06,440 +anterior focal plane of a concave lens will image + +87 +00:06:06,440 --> 00:06:07,740 +to plus infinity. + +88 +00:06:20,070 --> 00:06:23,430 +This ray is a convergent ray, if we imagine that + +89 +00:06:23,430 --> 00:06:26,170 +the optical axis is a ray and this is a ray, these + +90 +00:06:26,170 --> 00:06:28,690 +are convergent rays, which means that the object + +91 +00:06:28,690 --> 00:06:30,670 +here is a virtual object, as long as the + +92 +00:06:30,670 --> 00:06:35,470 +convergent ray is a virtual object present at the + +93 +00:06:35,470 --> 00:06:39,960 +anterior focal planeThe image will be in the plus + +94 +00:06:39,960 --> 00:06:43,500 +infinity, in the plus infinity Of course, virtual + +95 +00:06:43,500 --> 00:06:49,740 +object, which is a convergent, which is supposed + +96 +00:06:49,740 --> 00:06:54,480 +to come from a convergent lens, a plus convergent + +97 +00:06:54,480 --> 00:06:57,080 +lens, will form an image here In the anterior + +98 +00:06:57,080 --> 00:07:00,540 +focal plane of the minus lens Of course, any + +99 +00:07:00,540 --> 00:07:03,520 +virtual object in the anterior focal plane exists + +100 +00:07:04,640 --> 00:07:06,940 +And if I have a minus lens in the anterior focal + +101 +00:07:06,940 --> 00:07:10,000 +plane of the minus lens, the image of this virtual + +102 +00:07:10,000 --> 00:07:16,480 +object will be in the plus optical infinity. So, + +103 +00:07:16,980 --> 00:07:20,500 +similarly, a virtual object in the anterior focal + +104 +00:07:20,500 --> 00:07:24,400 +plane of a concave lens will image at plus + +105 +00:07:24,400 --> 00:07:26,920 +infinity. Okay, let's come to the second + +106 +00:07:26,920 --> 00:07:30,180 +radiation, a light or ray of light entering the + +107 +00:07:30,180 --> 00:07:34,930 +lensparallel to the optical axis will pass through + +108 +00:07:34,930 --> 00:07:39,670 +the posterior focus after exiting the lens let's + +109 +00:07:39,670 --> 00:07:44,170 +see this on the plus lens how if I have a beam + +110 +00:07:44,170 --> 00:07:46,750 +parallel to the optical axis when it comes out of + +111 +00:07:46,750 --> 00:07:53,510 +the lens it enters FB in the minus lens in the + +112 +00:07:53,510 --> 00:07:58,530 +minus lens ifParallel to the optical axis, when it + +113 +00:07:58,530 --> 00:08:01,930 +comes out of the lens, it is distorted. Its length + +114 +00:08:01,930 --> 00:08:05,230 +goes into FB. Its length goes into FB. Let's see + +115 +00:08:05,230 --> 00:08:08,690 +this issue in simulation. Let's say we have a + +116 +00:08:08,690 --> 00:08:12,310 +parallel beam. Let's bring another ray. This is a + +117 +00:08:12,310 --> 00:08:13,730 +single ray and this is its duplication. + +118 +00:08:16,870 --> 00:08:21,050 +Let's make it parallel to the optical axis. + +119 +00:08:27,080 --> 00:08:32,080 +Let's see its length Exactly it entered the point + +120 +00:08:32,080 --> 00:08:36,320 +300 exactly it entered the point 300 which is in + +121 +00:08:36,320 --> 00:08:38,920 +the posterior focus of the minus lens We said that + +122 +00:08:38,920 --> 00:08:43,000 +the posterior focus is 20 cm away Let's go back to + +123 +00:08:43,000 --> 00:08:47,200 +this step to clarify things for us So, the first + +124 +00:08:47,200 --> 00:08:55,190 +ray is directed towards F ADirected, it doesn't go + +125 +00:08:55,190 --> 00:09:00,130 +through FA, but it's directed towards FA, it's + +126 +00:09:00,130 --> 00:09:03,170 +equal to the optical axis Second example, it's + +127 +00:09:03,170 --> 00:09:05,610 +equal to the optical axis, it's equal to the + +128 +00:09:05,610 --> 00:09:09,070 +optical axis When it comes out of the lens, it's + +129 +00:09:09,070 --> 00:09:12,290 +tilted, its extension enters FB, its extension + +130 +00:09:12,290 --> 00:09:14,630 +enters FB Now + +131 +00:09:19,190 --> 00:09:22,870 +Similarly, real object at minus optical infinity + +132 +00:09:22,870 --> 00:09:26,370 +will produce virtual image in the posterior focal + +133 +00:09:26,370 --> 00:09:29,810 +plane of a concave lens يعني لما بيكون عندي + +134 +00:09:29,810 --> 00:09:36,550 +virtual object .. virtual .. او real object عفوا + +135 +00:09:36,550 --> 00:09:40,530 +real object في ال minus optical infinity جاية منه + +136 +00:09:40,530 --> 00:09:44,240 +الأشعةThe minus lens is overshadowed by the minus + +137 +00:09:44,240 --> 00:09:47,520 +lens, resulting in a virtual image in the + +138 +00:09:47,520 --> 00:09:52,440 +posterior focal plane + +139 +00:09:52,440 --> 00:09:56,600 +Now, it is very important that the third beam, + +140 +00:10:00,300 --> 00:10:06,500 +which passes through the nodal pointIt doesn't + +141 +00:10:06,500 --> 00:10:09,080 +change its direction. So there is a parallel beam + +142 +00:10:09,080 --> 00:10:12,700 +to the optical axis that is stretched. The beam is + +143 +00:10:12,700 --> 00:10:14,520 +parallel to the optical axis that is stretched. + +144 +00:10:15,020 --> 00:10:19,600 +Its length enters FB. The second beam is directed + +145 +00:10:19,600 --> 00:10:25,160 +towards FA. It comes out parallel. The third beam + +146 +00:10:25,160 --> 00:10:27,740 +passes through the nodal point. Nothing happens to + +147 +00:10:27,740 --> 00:10:33,160 +it. The three rays that came out of the minus lens + +148 +00:10:34,230 --> 00:10:37,070 +This is the first ray and the second and the third + +149 +00:10:37,070 --> 00:10:40,270 +Divergent ray, so the image is virtual and cannot + +150 +00:10:40,270 --> 00:10:43,490 +form a real image Where would it be if we extend + +151 +00:10:43,490 --> 00:10:47,130 +these three rays to meet at one point? We will see + +152 +00:10:47,130 --> 00:10:51,670 +this in the simulation, but we must add the third + +153 +00:10:51,670 --> 00:10:59,210 +ray Duplicate + +154 +00:10:59,210 --> 00:11:06,790 +itand make it more than nodal point these are the + +155 +00:11:06,790 --> 00:11:12,690 +three rays now we draw the object this is my + +156 +00:11:12,690 --> 00:11:25,390 +object which is .. no we + +157 +00:11:25,390 --> 00:11:31,350 +use the blocker to draw the object + +158 +00:11:43,940 --> 00:11:47,000 +This is the object with the brown color We want to + +159 +00:11:47,000 --> 00:11:52,780 +see where the image should be formed The image is + +160 +00:11:52,780 --> 00:11:55,520 +formed on the extensions of these different + +161 +00:11:55,520 --> 00:11:57,860 +elements This extension to the back, and this + +162 +00:11:57,860 --> 00:12:00,080 +extension to the back, and this extension to the + +163 +00:12:00,080 --> 00:12:06,040 +back We come here and make a duplication of the + +164 +00:12:06,040 --> 00:12:06,580 +blocker + +165 +00:12:20,540 --> 00:12:28,700 +هذه الصورة مصدرة virtual erect مصدرة virtual erect + +166 +00:12:28,700 --> 00:12:35,280 +إذن + +167 +00:12:35,280 --> 00:12:41,450 +هذه الصورة، هذه الجسمAnd this is the picture The + +168 +00:12:41,450 --> 00:12:44,310 +picture consists of the rays that came out + +169 +00:12:44,310 --> 00:12:47,190 +separately from the minus lens As the picture I + +170 +00:12:47,190 --> 00:12:51,910 +have here shows As the picture I have here shows I + +171 +00:12:51,910 --> 00:12:54,390 +have the first ray parallel to the optical axis, + +172 +00:12:54,570 --> 00:12:57,690 +it comes out, it spreads, its range goes into FB + +173 +00:12:57,690 --> 00:13:02,130 +The second ray is directed towards FA, it did not + +174 +00:13:02,130 --> 00:13:05,410 +enter FA, but it is directed towards FA It will + +175 +00:13:05,410 --> 00:13:07,170 +collide with the lens, so it will come out + +176 +00:13:07,170 --> 00:13:11,040 +parallelThe third ray will enter the nodal point + +177 +00:13:11,040 --> 00:13:13,720 +and will not change its path. The first, second + +178 +00:13:13,720 --> 00:13:16,000 +and third rays are divergent rays, so the image is + +179 +00:13:16,000 --> 00:13:18,480 +virtual. Where does the image meet? Does it need + +180 +00:13:18,480 --> 00:13:20,380 +calculations? No, it does not need calculations. + +181 +00:13:20,860 --> 00:13:22,560 +It only needs to be extended and the drawing + +182 +00:13:22,560 --> 00:13:24,340 +should be accurate. If the drawing is accurate, + +183 +00:13:24,540 --> 00:13:28,450 +the rays will meet at one point.things that are + +184 +00:13:28,450 --> 00:13:32,950 +backward will meet in one point this is the place + +185 +00:13:32,950 --> 00:13:35,770 +of the image this is the place of the image so + +186 +00:13:35,770 --> 00:13:41,050 +this case must be very clear must be clear this is + +187 +00:13:41,050 --> 00:13:46,450 +an example of minus or para axial ray tracing + +188 +00:13:46,450 --> 00:13:52,070 +using minus spherical lens minus spherical lens + +189 +00:13:52,070 --> 00:13:54,550 +let's see if they give examples or not + +190 +00:14:01,130 --> 00:14:06,250 +Let's take the example of the minus 2 diopter lens + +191 +00:14:06,250 --> 00:14:14,830 +and see how it works I + +192 +00:14:14,830 --> 00:14:20,370 +have + +193 +00:14:20,370 --> 00:14:25,630 +a minus 2 diopter lens The F-A is 50 cm behind the + +194 +00:14:25,630 --> 00:14:31,560 +lens and the F-B is 50 cm in front of the lenssee + +195 +00:14:31,560 --> 00:14:42,080 +the object on any distance it's + +196 +00:14:42,080 --> 00:14:44,120 +not a problem the object's distance it's not a + +197 +00:14:44,120 --> 00:14:45,360 +problem the object's distance because it's going + +198 +00:14:45,360 --> 00:14:48,900 +to be small no matter the object's distance let's + +199 +00:14:48,900 --> 00:14:53,200 +see how it's going to be here I have grid and here + +200 +00:14:53,200 --> 00:14:53,780 +I have ruler + +201 +00:15:13,970 --> 00:15:20,590 +this is ruler now + +202 +00:15:20,590 --> 00:15:29,490 +we want to put minus lens this + +203 +00:15:29,490 --> 00:15:35,310 +is plus lens minus + +204 +00:15:35,310 --> 00:15:41,490 +2 so the focal length is 50cm which is minus 500 + +205 +00:16:13,910 --> 00:16:21,070 +-500 means from + +206 +00:16:21,070 --> 00:16:25,550 +100 to 600 which is 500 we want to see how the + +207 +00:16:25,550 --> 00:16:31,910 +three rays will form a single ray let's say this + +208 +00:16:31,910 --> 00:16:32,910 +is a parallel single ray + +209 +00:16:42,880 --> 00:16:48,220 +parallel to the optical axis we see the extension + +210 +00:16:48,220 --> 00:16:52,500 +means that we are not yet parallel to the optical + +211 +00:16:52,500 --> 00:16:56,340 +axis until the extension is fixed that's why we + +212 +00:16:56,340 --> 00:17:00,380 +are parallel to the optical axis that's why it + +213 +00:17:00,380 --> 00:17:02,880 +passes through the point 100 which is 50 cm away + +214 +00:17:02,880 --> 00:17:06,920 +so parallel is flattened and its extension passes + +215 +00:17:06,920 --> 00:17:11,400 +through FB now we need to go back from the + +216 +00:17:11,400 --> 00:17:12,300 +extension a little bit + +217 +00:17:24,440 --> 00:17:32,660 +Okay, now we want the second ray to + +218 +00:17:32,660 --> 00:17:36,220 +be directed towards F + +219 +00:17:44,300 --> 00:17:46,960 +It was directed towards FA, it was directed + +220 +00:17:46,960 --> 00:17:49,420 +towards how it found out that the rays came out + +221 +00:17:49,420 --> 00:17:52,320 +parallel to the optical axis, parallel to the + +222 +00:17:52,320 --> 00:17:57,180 +optical axis The third ray that passes through the + +223 +00:17:57,180 --> 00:18:02,080 +nodal point will not change its path, will not + +224 +00:18:02,080 --> 00:18:03,120 +change its path + +225 +00:18:07,170 --> 00:18:10,370 +Okay, now we're going to do the extension of the + +226 +00:18:10,370 --> 00:18:13,170 +three rays We're going to see that the three rays + +227 +00:18:13,170 --> 00:18:19,050 +make a vertical picture, that is upright, virtual, + +228 +00:18:20,050 --> 00:18:22,910 +minified How do we know it's minified? Of course, + +229 +00:18:23,450 --> 00:18:31,870 +it's a miniature compared to the body This + +230 +00:18:31,870 --> 00:18:34,330 +is the body, put it in its right place + +231 +00:18:53,580 --> 00:19:03,620 +this is the height of the body and this is the + +232 +00:19:03,620 --> 00:19:05,660 +picture, we will put the picture in its correct + +233 +00:19:05,660 --> 00:19:08,260 +place too, but we will make it smaller + +234 +00:19:28,770 --> 00:19:33,670 +So, the rule says that regardless of the location + +235 +00:19:33,670 --> 00:19:38,750 +of the body, whether it is inside FP or outside + +236 +00:19:38,750 --> 00:19:42,870 +FP, or wherever, always the picture under the + +237 +00:19:42,870 --> 00:19:48,030 +minus lens will be miniatured and customizable and + +238 +00:19:48,030 --> 00:19:50,910 +virtual, miniatured and customizable and virtual, + +239 +00:19:51,130 --> 00:19:52,790 +and consequently you will have + +240 +00:19:55,780 --> 00:20:01,020 +The image is always miniatured and virtual, so + +241 +00:20:01,020 --> 00:20:06,460 +this image is called the minus lens, and I can + +242 +00:20:06,460 --> 00:20:09,420 +raise the image and divide it by the height of the + +243 +00:20:09,420 --> 00:20:13,140 +object, and I get the transference magnification, + +244 +00:20:13,220 --> 00:20:18,040 +transference magnification We stop at the lecture + +245 +00:20:18,040 --> 00:20:21,400 +of objects and images at infinity, and God bless + +246 +00:20:21,400 --> 00:20:22,960 +you and peace be upon you + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..8d2d99f409d6410e1b58042088b166ec382c45ea --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/6FQ8w-AkhPw_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2135, "start": 1.91, "end": 21.35, "text": "بسم الله الرحمن الرحيم، بنواصل محاضرات الـ Geometric Optics، 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{"id": 29, "seek": 69135, "start": 662.17, "end": 691.35, "text": "and make it more than nodal point these are the three rays now we draw the object this is my object which is .. no we use the blocker to draw the object", "tokens": [474, 652, 309, 544, 813, 15224, 304, 935, 613, 366, 264, 1045, 24417, 586, 321, 2642, 264, 2657, 341, 307, 452, 2657, 597, 307, 4386, 572, 321, 764, 264, 3461, 260, 281, 2642, 264, 2657], "avg_logprob": -0.52604165342119, "compression_ratio": 1.504950495049505, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 662.17, "end": 662.41, "word": "and", "probability": 0.312255859375}, {"start": 662.41, "end": 662.69, "word": " make", "probability": 0.1766357421875}, {"start": 662.69, "end": 662.87, "word": " it", "probability": 0.76513671875}, {"start": 662.87, "end": 663.05, "word": " more", "probability": 0.2626953125}, {"start": 663.05, "end": 663.29, "word": " than", "probability": 0.479736328125}, {"start": 663.29, "end": 663.83, "word": " 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The first, second and third rays are divergent rays, so the image is virtual. Where does the image meet? Does it need calculations? No, it does not need calculations. It only needs to be extended and the drawing should be accurate. 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"probability": 0.95458984375}], "temperature": 1.0}, {"id": 34, "seek": 83455, "start": 807.65, "end": 834.55, "text": "things that are backward will meet in one point this is the place of the image this is the place of the image so this case must be very clear must be clear this is an example of minus or para axial ray tracing using minus spherical lens minus spherical lens let's see if they give examples or not", "tokens": [825, 82, 300, 366, 23897, 486, 1677, 294, 472, 935, 341, 307, 264, 1081, 295, 264, 3256, 341, 307, 264, 1081, 295, 264, 3256, 370, 341, 1389, 1633, 312, 588, 1850, 1633, 312, 1850, 341, 307, 364, 1365, 295, 3175, 420, 1690, 46851, 18592, 25262, 1228, 3175, 37300, 6765, 3175, 37300, 6765, 718, 311, 536, 498, 436, 976, 5110, 420, 406], "avg_logprob": -0.5604838478949762, "compression_ratio": 1.9096774193548387, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 807.65, "end": 808.33, "word": "things", "probability": 0.486480712890625}, {"start": 808.33, 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1032.3, "text": "parallel to the optical axis we see the extension means that we are not yet parallel to the optical axis until the extension is fixed that's why we are parallel to the optical axis that's why it passes through the point 100 which is 50 cm away so parallel is flattened and its extension passes through FB now we need to go back from the extension a little bit", "tokens": [2181, 336, 338, 281, 264, 20674, 10298, 321, 536, 264, 10320, 1355, 300, 321, 366, 406, 1939, 8952, 281, 264, 20674, 10298, 1826, 264, 10320, 307, 6806, 300, 311, 983, 321, 366, 8952, 281, 264, 20674, 10298, 300, 311, 983, 309, 11335, 807, 264, 935, 2319, 597, 307, 2625, 14668, 1314, 370, 8952, 307, 24183, 292, 293, 1080, 10320, 11335, 807, 479, 33, 586, 321, 643, 281, 352, 646, 490, 264, 10320, 257, 707, 857], "avg_logprob": -0.5460526402059355, "compression_ratio": 2.039772727272727, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 1002.88, "end": 1003.52, "word": "parallel", 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says that regardless of the location of the body, whether it is inside FP or outside FP, or wherever, always the picture under the minus lens will be miniatured and customizable and virtual, miniatured and customizable and virtual, and consequently you will have", "tokens": [6455, 11, 264, 4978, 1619, 300, 10060, 295, 264, 4914, 295, 264, 1772, 11, 1968, 309, 307, 1854, 36655, 420, 2380, 36655, 11, 420, 8660, 11, 1009, 264, 3036, 833, 264, 3175, 6765, 486, 312, 923, 7676, 3831, 293, 2375, 590, 712, 293, 6374, 11, 923, 7676, 3831, 293, 2375, 590, 712, 293, 6374, 11, 293, 47259, 291, 486, 362], "avg_logprob": -0.5763319672131147, "compression_ratio": 1.729559748427673, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 1168.7699999999998, "end": 1169.6499999999999, "word": "So,", "probability": 0.33056640625}, {"start": 1169.6499999999999, "end": 1170.53, "word": " the", "probability": 0.489501953125}, {"start": 1170.53, "end": 1170.75, "word": " rule", "probability": 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0.5712890625}, {"start": 1176.37, "end": 1176.67, "word": " inside", "probability": 0.78369140625}, {"start": 1176.67, "end": 1177.29, "word": " FP", "probability": 0.147705078125}, {"start": 1177.29, "end": 1178.35, "word": " or", "probability": 0.7822265625}, {"start": 1178.35, "end": 1178.75, "word": " outside", "probability": 0.77734375}, {"start": 1178.75, "end": 1179.51, "word": " FP,", "probability": 0.85693359375}, {"start": 1180.11, "end": 1180.33, "word": " or", "probability": 0.82275390625}, {"start": 1180.33, "end": 1181.09, "word": " wherever,", "probability": 0.71875}, {"start": 1181.61, "end": 1181.99, "word": " always", "probability": 0.59716796875}, {"start": 1181.99, "end": 1182.15, "word": " the", "probability": 0.77734375}, {"start": 1182.15, "end": 1182.37, "word": " picture", "probability": 0.425537109375}, {"start": 1182.37, "end": 1182.69, "word": " under", "probability": 0.51806640625}, {"start": 1182.69, "end": 1182.87, "word": " the", "probability": 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at infinity, and God bless you and peace be upon you", "tokens": [2278, 3256, 307, 1009, 923, 7676, 3831, 293, 6374, 11, 370, 341, 3256, 307, 1219, 264, 3175, 6765, 11, 293, 286, 393, 5300, 264, 3256, 293, 9845, 309, 538, 264, 6681, 295, 264, 2657, 11, 293, 286, 483, 264, 5003, 655, 4944, 3774, 11, 5003, 655, 4944, 3774, 492, 1590, 412, 264, 7991, 295, 6565, 293, 5267, 412, 13202, 11, 293, 1265, 5227, 291, 293, 4336, 312, 3564, 291], "avg_logprob": -0.6433035722800664, "compression_ratio": 1.7243243243243243, "no_speech_prob": 3.0994415283203125e-06, "words": [{"start": 1195.78, "end": 1196.08, "word": "The", "probability": 0.199951171875}, {"start": 1196.08, "end": 1196.28, "word": " image", "probability": 0.35205078125}, {"start": 1196.28, "end": 1196.46, "word": " is", "probability": 0.79833984375}, {"start": 1196.46, "end": 1196.9, "word": " always", "probability": 0.736328125}, {"start": 1196.9, "end": 1197.6, "word": " miniatured", "probability": 0.3985799153645833}, {"start": 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object,", "probability": 0.919921875}, {"start": 1210.5, "end": 1210.7, "word": " and", "probability": 0.70751953125}, {"start": 1210.7, "end": 1210.86, "word": " I", "probability": 0.39892578125}, {"start": 1210.86, "end": 1211.16, "word": " get", "probability": 0.6787109375}, {"start": 1211.16, "end": 1211.58, "word": " the", "probability": 0.4560546875}, {"start": 1211.58, "end": 1212.38, "word": " transference", "probability": 0.34246826171875}, {"start": 1212.38, "end": 1213.14, "word": " magnification,", "probability": 0.9462890625}, {"start": 1213.22, "end": 1213.98, "word": " transference", "probability": 0.863525390625}, {"start": 1213.98, "end": 1214.72, "word": " magnification", "probability": 0.979736328125}, {"start": 1214.72, "end": 1215.68, "word": " We", "probability": 0.3486328125}, {"start": 1215.68, "end": 1216.12, "word": " stop", "probability": 0.62646484375}, {"start": 1216.12, "end": 1216.74, "word": " at", "probability": 0.603515625}, {"start": 1216.74, "end": 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"word": " and", "probability": 0.334716796875}, {"start": 1222.1, "end": 1222.38, "word": " peace", "probability": 0.701171875}, {"start": 1222.38, "end": 1222.64, "word": " be", "probability": 0.6787109375}, {"start": 1222.64, "end": 1222.66, "word": " upon", "probability": 0.8095703125}, {"start": 1222.66, "end": 1222.96, "word": " you", "probability": 0.970703125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1225.061625, "duration_after_vad": 1040.9299999999994} \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/71kk9HL3q08_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/71kk9HL3q08_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..adf0b23b30be936969d1b71dec77a346ed0a459b --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/71kk9HL3q08_postprocess.srt @@ -0,0 +1,2664 @@ +1 +00:00:02,610 --> 00:00:05,910 +بسم الله الرحمن الرحيم بنواصل محاضرات البصريات + +2 +00:00:05,910 --> 00:00:09,710 +الهندسية موضوعنا اليوم عن ال focal points and + +3 +00:00:09,710 --> 00:00:14,710 +planesBefore we talk about it, let's remember some + +4 +00:00:14,710 --> 00:00:19,970 +reference points that we used in Geometric Optics + +5 +00:00:19,970 --> 00:00:23,550 +from the beginning of this course Let's say that + +6 +00:00:23,550 --> 00:00:26,890 +we had two nodal points, the anterior nodal point + +7 +00:00:26,890 --> 00:00:29,310 +and the posterior nodal point And we said that any + +8 +00:00:29,310 --> 00:00:32,210 +ray that enters the anterior nodal point, exits + +9 +00:00:32,210 --> 00:00:35,300 +the posterior nodal pointand that the angle of + +10 +00:00:35,300 --> 00:00:37,720 +entry and exit with the optical axis is equal to + +11 +00:00:37,720 --> 00:00:39,480 +the angle of entry and exit with the optical axis. + +12 +00:00:40,080 --> 00:00:43,780 +These reference points helped me in many things. + +13 +00:00:44,320 --> 00:00:49,220 +One of them is that the transference magnification + +14 +00:00:49,220 --> 00:00:51,300 +is equal to the image height over the object + +15 +00:00:51,300 --> 00:00:53,420 +height and is also equal to the image distance + +16 +00:00:53,420 --> 00:00:57,660 +over the object distance.وإنه إذا انطبقت ال + +17 +00:00:57,660 --> 00:01:00,460 +anterior nodal point على ال posterior nodal point + +18 +00:01:00,460 --> 00:01:03,160 +فالشعاع اللي بيمرم ال anterior nodal point ما + +19 +00:01:03,160 --> 00:01:07,800 +بيغير اتجاهه و بيظل عبر العدسة undeviated, + +20 +00:01:07,880 --> 00:01:12,500 +undeviated أيضا مرت علينا ال principal points + +21 +00:01:15,250 --> 00:01:18,670 +which calculates the image distance and object + +22 +00:01:18,670 --> 00:01:21,230 +distance where I have anterior principal point and + +23 +00:01:21,230 --> 00:01:24,670 +posterior principal point and also as a reference, + +24 +00:01:24,830 --> 00:01:27,890 +we talked about the optical axis and we said that + +25 +00:01:27,890 --> 00:01:29,510 +everything is above the optical axis + +26 +00:01:36,550 --> 00:01:39,990 +Today we will talk about two reference points + +27 +00:01:39,990 --> 00:01:44,190 +again to complete three pairs of reference points + +28 +00:01:44,190 --> 00:01:48,310 +which are nodal pointsand the principal points and + +29 +00:01:48,310 --> 00:01:51,770 +today we will talk about the focal points actually + +30 +00:01:51,770 --> 00:01:55,990 +the focal points are a pair of points located on + +31 +00:01:55,990 --> 00:01:59,490 +the optical axis located on the optical axis of + +32 +00:01:59,490 --> 00:02:03,870 +any optical system or any lens so they are two + +33 +00:02:03,870 --> 00:02:06,170 +points, there is anterior focal point and + +34 +00:02:06,170 --> 00:02:10,790 +posterior focal pointThese anterior focal points + +35 +00:02:10,790 --> 00:02:16,590 +and posterior focal points are reference points + +36 +00:02:16,590 --> 00:02:19,530 +that have something special from other points. As + +37 +00:02:19,530 --> 00:02:22,290 +we said nodal points, what makes them special? + +38 +00:02:22,410 --> 00:02:26,570 +What makes nodal points special is thatThe rays + +39 +00:02:26,570 --> 00:02:29,790 +that come from any point in the object like point + +40 +00:02:29,790 --> 00:02:33,310 +A and enter the anterior nodal point plus its + +41 +00:02:33,310 --> 00:02:37,090 +entry with the optical axis plus its exit from the + +42 +00:02:37,090 --> 00:02:41,270 +posterior nodal point with the optical axis This + +43 +00:02:41,270 --> 00:02:43,790 +is the feature of nodal points What are the focal + +44 +00:02:43,790 --> 00:02:46,430 +points of this feature? First of all, I have two + +45 +00:02:46,430 --> 00:02:49,190 +focal points anterior focal point and posterior + +46 +00:02:49,190 --> 00:02:55,640 +focal point I have for example plusFive diopter + +47 +00:02:55,640 --> 00:03:00,500 +lens In the drawing that we will see later It has + +48 +00:03:00,500 --> 00:03:03,440 +anterior focal point They call it the primary + +49 +00:03:03,440 --> 00:03:07,100 +focal point Or anterior focal point In short, FA + +50 +00:03:07,100 --> 00:03:11,560 +or F anterior How do we calculate its distance? It + +51 +00:03:11,560 --> 00:03:15,200 +is present on the optical axisWe divide the + +52 +00:03:15,200 --> 00:03:18,880 +refractive index of the air by the power of the + +53 +00:03:18,880 --> 00:03:23,160 +lens 1 by 5 diopters which is 5 meters which is 20 + +54 +00:03:23,160 --> 00:03:26,380 +centimeters to the left 20 centimeters to the left + +55 +00:03:26,380 --> 00:03:30,950 +Also when we want to getThe posterior focal point, + +56 +00:03:31,070 --> 00:03:35,370 +or FP, is divided by the refractive index, which + +57 +00:03:35,370 --> 00:03:41,650 +is 5 meters, which is 1 over 5 diopters. So it is + +58 +00:03:41,650 --> 00:03:49,130 +20 cm away from the left and 20 cm away from the + +59 +00:03:49,130 --> 00:03:54,450 +right. The plus 5 diopter lens in the following + +60 +00:03:54,450 --> 00:03:59,410 +figure has an anterior primary focal point.Fa that + +61 +00:03:59,410 --> 00:04:02,630 +is one over five equals two out of ten meters and + +62 +00:04:02,630 --> 00:04:06,250 +equals twenty centimeters in front of the lens + +63 +00:04:11,370 --> 00:04:12,950 +What is the difference between anterior and + +64 +00:04:12,950 --> 00:04:15,170 +posterior nodal points? Why did scientists say + +65 +00:04:15,170 --> 00:04:17,870 +that this is one of the reference points? Or this + +66 +00:04:17,870 --> 00:04:20,250 +point is different from the rest of the points on + +67 +00:04:20,250 --> 00:04:23,630 +the optical axis? Like when we talked about nodal + +68 +00:04:23,630 --> 00:04:26,530 +points, anterior nodal and posterior nodal, we + +69 +00:04:26,530 --> 00:04:28,950 +said that they have a difference By God, if a ray + +70 +00:04:28,950 --> 00:04:32,670 +enters the anterior nodal point, it will exit the + +71 +00:04:32,670 --> 00:04:35,690 +posterior nodal point and go to form the point + +72 +00:04:35,690 --> 00:04:38,340 +imageIn addition to the other rays, but this ray + +73 +00:04:38,340 --> 00:04:41,460 +is characterized by its angle with the optical + +74 +00:04:41,460 --> 00:04:44,080 +axis is equal to the angle of its exit with the + +75 +00:04:44,080 --> 00:04:46,360 +optical axis As we said at the beginning of the + +76 +00:04:46,360 --> 00:04:50,340 +lecture on engineering vision Okay, today we are + +77 +00:04:50,340 --> 00:04:53,100 +going to talk about the anterior focal point and + +78 +00:04:53,100 --> 00:04:55,800 +the posterior focal point or what are the features + +79 +00:04:55,800 --> 00:04:59,260 +in them We want to see the feature by definition + +80 +00:04:59,260 --> 00:05:05,470 +light emanatingFrom F-A exits the lens collimated + +81 +00:05:05,470 --> 00:05:10,390 +and comes to a focus at plus optical infinity ما + +82 +00:05:10,390 --> 00:05:14,310 +معناه هذا الكلام؟ انه لو في عندى مصدر نقاطى للضوء، + +83 +00:05:14,310 --> 00:05:20,720 +ضوء صادر من عند F-Ameans that the point source of + +84 +00:05:20,720 --> 00:05:23,860 +light that is coming to the f-axis these rays that + +85 +00:05:23,860 --> 00:05:27,020 +will enter the lens will all come out of the lens + +86 +00:05:27,020 --> 00:05:31,060 +collimated collimated means parallel to each other + +87 +00:05:31,060 --> 00:05:35,120 +and comes to a focus at plus optical infinity + +88 +00:05:35,120 --> 00:05:37,540 +let's see a simulation that explains this issue + +89 +00:05:37,540 --> 00:05:42,940 +let's say this is a grid okay and this is my point + +90 +00:05:42,940 --> 00:05:44,100 +source of light + +91 +00:05:46,830 --> 00:05:51,030 +high point source of light we want to limit some + +92 +00:05:51,030 --> 00:05:52,810 +of the light so that it does not disturb our + +93 +00:05:52,810 --> 00:06:03,110 +vision we make duplication for the barrier we + +94 +00:06:03,110 --> 00:06:07,510 +want to limit some of the light so that the idea + +95 +00:06:07,510 --> 00:06:13,110 +is clear the + +96 +00:06:13,110 --> 00:06:16,460 +density of the light we want to reduce itLet's say + +97 +00:06:16,460 --> 00:06:22,240 +I have 8 candles + +98 +00:06:22,240 --> 00:06:30,120 +Let's say I have 8 candles Let's say I have 8 + +99 +00:06:30,120 --> 00:06:30,660 +candles Let's say I have 8 candles Let's say I + +100 +00:06:30,660 --> 00:06:30,680 +candles Let's say I have 8 candles Let's say I + +101 +00:06:30,680 --> 00:06:30,820 +have 8 candles Let's say I have 8 candles Let's + +102 +00:06:30,820 --> 00:06:30,860 +Let's say I have 8 candles Let's say I have 8 + +103 +00:06:30,860 --> 00:06:30,880 +candles Let's say I have 8 candles Let's say I + +104 +00:06:30,880 --> 00:06:32,300 +say I have 8 candles Let's say I have 8 candles + +105 +00:06:32,300 --> 00:06:36,820 +Let's say I have 8 candles Let's say I have 8 + +106 +00:06:36,820 --> 00:06:40,500 +candles Let's say I have 8 candles + +107 +00:06:43,530 --> 00:06:47,390 +Or she walks with us to pee This ruler measures in + +108 +00:06:47,390 --> 00:06:49,210 +millimeters, that is, every 100 millimeters is 10 + +109 +00:06:49,210 --> 00:06:53,930 +centimeters We choose the lens in such a way that + +110 +00:06:53,930 --> 00:06:58,270 +this is the ideal lens This is the ideal lens We + +111 +00:06:58,270 --> 00:07:00,010 +want the distance of this arrow to be 20 + +112 +00:07:00,010 --> 00:07:05,410 +centimeters Because F A is 20 centimeters awayThe + +113 +00:07:05,410 --> 00:07:09,430 +focal length of a plus 5 diopter lens is 20 cm 20 + +114 +00:07:09,430 --> 00:07:11,730 +cm is the focal length of the front camera lens or + +115 +00:07:11,730 --> 00:07:14,850 +the focal length of the camera lens So we want to + +116 +00:07:14,850 --> 00:07:18,830 +choose it so that its focal length is 100 mm, + +117 +00:07:19,010 --> 00:07:22,190 +which is 10 cm No, we want 20 cm, which is 200 mm + +118 +00:07:22,190 --> 00:07:26,190 +This became the focal length of the lens 200 mm + +119 +00:07:26,190 --> 00:07:31,370 +Now we want to put it at a distance of 20 cm, + +120 +00:07:31,610 --> 00:07:32,390 +which is 200 mm + +121 +00:07:39,930 --> 00:07:43,830 +This is a light source, point source of light, + +122 +00:07:44,070 --> 00:07:49,270 +point source of light, and this is a lens with a + +123 +00:07:49,270 --> 00:07:51,750 +focal length of twenty centimeters We put the + +124 +00:07:51,750 --> 00:07:57,070 +point of source of light at the focal length of F + +125 +00:07:57,070 --> 00:08:00,610 +-AWhy? To see what is the difference between F and + +126 +00:08:00,610 --> 00:08:03,390 +A. What is the difference between F and A? Ok, we + +127 +00:08:03,390 --> 00:08:07,590 +say that this lens, F and A is 20 cm away from it. + +128 +00:08:08,050 --> 00:08:10,730 +If there is an emanating source of light from it, + +129 +00:08:12,170 --> 00:08:15,470 +and this source exists at F and A,all the light + +130 +00:08:15,470 --> 00:08:18,230 +that enters the lens will go out parallel to each + +131 +00:08:18,230 --> 00:08:20,790 +other and parallel to the optical axis if we + +132 +00:08:20,790 --> 00:08:22,990 +imagine this is the optical axis the middle line + +133 +00:08:22,990 --> 00:08:26,470 +all parallel to each other and will go to the plus + +134 +00:08:26,470 --> 00:08:30,150 +optical infinity here on the right of the lens we + +135 +00:08:30,150 --> 00:08:33,610 +call it plus this distance plus as long as the + +136 +00:08:33,610 --> 00:08:37,310 +parallel lines do not meet no matter how much they + +137 +00:08:37,310 --> 00:08:40,770 +extend in the term as a term we say that in the + +138 +00:08:40,770 --> 00:08:44,090 +geometric optics it will form a pictureBut in the + +139 +00:08:44,090 --> 00:08:47,170 +plus optical infinity, which means in infinity, + +140 +00:08:47,310 --> 00:08:51,430 +the image is in infinity So this is a feature + +141 +00:08:51,430 --> 00:08:54,090 +specific to FA How do we know it's a feature + +142 +00:08:54,090 --> 00:08:56,290 +specific to FA? We want to make the light reflect + +143 +00:08:56,290 --> 00:09:01,230 +See, + +144 +00:09:01,730 --> 00:09:05,950 +the distance is farther than 20 cm, which means + +145 +00:09:05,950 --> 00:09:11,280 +farther than FA, FA here, FA hereFFA here, so + +146 +00:09:11,280 --> 00:09:15,180 +therefore the rays are not parallel. Well, if we + +147 +00:09:15,180 --> 00:09:22,800 +tried, the rays became divergent. We made the rays + +148 +00:09:22,800 --> 00:09:25,060 +convergent, what comes out of the lens will be + +149 +00:09:25,060 --> 00:09:29,100 +convergent. Okay, we tried a lot, the rays will + +150 +00:09:29,100 --> 00:09:31,740 +become divergent. Okay, what is the advantage of + +151 +00:09:31,740 --> 00:09:37,060 +putting?Point source of light is 20 cm away from + +152 +00:09:37,060 --> 00:09:37,740 +the front of the eye, which means it is present on + +153 +00:09:37,740 --> 00:09:39,380 +the front of the eye, which means it is present on + +154 +00:09:39,380 --> 00:09:47,700 +the front of the eye, which means it + +155 +00:09:47,700 --> 00:09:50,240 +is present on the front of the eyeAny light + +156 +00:09:50,240 --> 00:09:54,340 +emitted from its place will be equal to each other + +157 +00:09:54,340 --> 00:09:58,040 +and equal to the optical axis Equal to each other + +158 +00:09:58,040 --> 00:10:01,660 +and equal to the optical axis And it will form a + +159 +00:10:01,660 --> 00:10:04,340 +picture in the plus optical infinity + +160 +00:10:06,790 --> 00:10:13,030 +By definition, light emanating from FA exits the + +161 +00:10:13,030 --> 00:10:19,490 +lens collimated and comes to a focus at plus + +162 +00:10:19,490 --> 00:10:24,250 +optical infinity طب ممكن سان يقول هل هذه بالحسابات + +163 +00:10:24,250 --> 00:10:28,030 +بتظبط معانا؟ بنقول نعم بالحسابات بتظبط معانا و + +164 +00:10:28,030 --> 00:10:33,230 +هنضيف شريحة عشان نحسب هذه القضية عشان نحسب هذه + +165 +00:10:33,230 --> 00:10:34,850 +القضية بنقول كالقادة + +166 +00:10:37,570 --> 00:10:44,270 +عندي عدسة plus خمسة, هاي ال optical axis عدسة + +167 +00:10:44,270 --> 00:10:49,330 +plus خمسة و + +168 +00:10:49,330 --> 00:10:53,470 +ال plus خمسة معروف زي ما قولنا قبل شوية انه ال + +169 +00:10:53,470 --> 00:11:00,070 +anterior focus بتاعها على شمالها بعشرين + +170 +00:11:00,070 --> 00:11:06,450 +عفوا هدي لغة عربية plus خمسة diopter + +171 +00:11:09,180 --> 00:11:13,720 +بنقول كالقاتى انه FA بتبعد عشرين سانتي يعني لو + +172 +00:11:13,720 --> 00:11:21,660 +تصورنا انه في عندى object على FA جاي object على FA + +173 +00:11:21,660 --> 00:11:29,600 +هذا + +174 +00:11:29,600 --> 00:11:34,640 +ال objectHow much is his U? How much is his U? To + +175 +00:11:34,640 --> 00:11:37,920 +know the picture that will be formed, we say U is + +176 +00:11:37,920 --> 00:11:43,880 +equal to negative N over O and is equal to + +177 +00:11:43,880 --> 00:11:47,800 +negative 1 over 20 centimeters which is at a + +178 +00:11:47,800 --> 00:11:49,420 +distance of F A and F A is at a distance of 20 + +179 +00:11:49,420 --> 00:11:55,280 +centimeters, so 1 over 2 of 10 meters and is equal + +180 +00:11:55,280 --> 00:12:02,460 +to negative 5 diodesSo U is less than 5 diopters U + +181 +00:12:02,460 --> 00:12:05,520 +is less than 5 diopters I will record it on the + +182 +00:12:05,520 --> 00:12:09,920 +front of the lens I will say less than 5 diopters + +183 +00:12:09,920 --> 00:12:13,160 +Now + +184 +00:12:13,160 --> 00:12:16,920 +if the rays of this object fluctuates by 5 + +185 +00:12:16,920 --> 00:12:20,280 +diopters We will see how it fluctuates and how + +186 +00:12:20,280 --> 00:12:24,260 +much it fluctuates We will say U plus power equals + +187 +00:12:24,260 --> 00:12:26,100 +V + +188 +00:12:27,710 --> 00:12:36,170 +the u minus 5 diopter plus the power 5 diopter is + +189 +00:12:36,170 --> 00:12:45,330 +equal to v so v is equal to zero what does v zero + +190 +00:12:45,330 --> 00:12:48,790 +mean? it means that things are neither convergent + +191 +00:12:48,790 --> 00:12:51,610 +nor divergent but parallel to each other + +192 +00:12:57,370 --> 00:13:04,750 +Uncharted on I Uncharted + +193 +00:13:04,750 --> 00:13:08,130 +on I Uncharted on I Uncharted on I Uncharted on I + +194 +00:13:08,130 --> 00:13:09,110 +Uncharted on I Uncharted on I Uncharted on I + +195 +00:13:09,110 --> 00:13:11,870 +Uncharted on I Uncharted on I Uncharted on I + +196 +00:13:11,870 --> 00:13:13,990 +Uncharted on I Uncharted on I Uncharted on I + +197 +00:13:13,990 --> 00:13:18,410 +Uncharted + +198 +00:13:18,410 --> 00:13:20,190 +on I Uncharted on I Uncharted on I Uncharted on I + +199 +00:13:20,190 --> 00:13:20,310 +Uncharted on I Uncharted on I Uncharted on I + +200 +00:13:20,310 --> 00:13:20,850 +Uncharted on I Uncharted on I Uncharted on I + +201 +00:13:20,850 --> 00:13:21,090 +Uncharted on I Uncharted on I Uncharted on I + +202 +00:13:21,090 --> 00:13:21,130 +Uncharted on I Uncharted on I Uncharted on I + +203 +00:13:21,130 --> 00:13:23,060 +Uncharted on I Uncharted on I Uncharted onAnything + +204 +00:13:23,060 --> 00:13:25,600 +that is divided by zero becomes infinity + +205 +00:13:29,560 --> 00:13:32,160 +The image will form wherever it is in infinity + +206 +00:13:32,160 --> 00:13:35,140 +Actually, this does not apply only to the plus 5 + +207 +00:13:35,140 --> 00:13:39,700 +diopter lens, but to any lens that has a body + +208 +00:13:39,700 --> 00:13:46,300 +placed on its front cheek, then I will have the + +209 +00:13:46,300 --> 00:13:48,840 +image in the ultimate plane, in the plus optical + +210 +00:13:48,840 --> 00:13:51,700 +infinity If we tried this speech, we say as + +211 +00:13:51,700 --> 00:13:54,080 +follows, we will cancel all this speech + +212 +00:13:56,890 --> 00:14:02,430 +we will use plus 10 diopter lens plus 10 diopter + +213 +00:14:02,430 --> 00:14:09,250 +lens first we need point source of light this is + +214 +00:14:09,250 --> 00:14:13,250 +the point source of light we will reduce the + +215 +00:14:13,250 --> 00:14:16,550 +intensity of the rays and we will do some blocking + +216 +00:14:16,550 --> 00:14:23,030 +of the rays we will make duplication of the + +217 +00:14:23,030 --> 00:14:23,570 +blocker + +218 +00:14:26,550 --> 00:14:30,910 +So that he can do most of the things Ok, now + +219 +00:14:30,910 --> 00:14:34,310 +everything is ready, I need a source This is the + +220 +00:14:34,310 --> 00:14:49,590 +ruler This is the ruler As if We + +221 +00:14:49,590 --> 00:14:52,050 +need the ruler Yes, we are still in the blocker, + +222 +00:14:52,110 --> 00:14:53,410 +so we need the ruler + +223 +00:14:58,510 --> 00:15:04,630 +This is how the source looks like + +224 +00:15:04,630 --> 00:15:15,350 +Ok, now we have placed the source Now + +225 +00:15:15,350 --> 00:15:18,130 +we want to move the source up a little bit to try + +226 +00:15:18,130 --> 00:15:20,750 +it from the optical axis These are rays coming + +227 +00:15:20,750 --> 00:15:24,990 +from a point This point should have a radius of a + +228 +00:15:24,990 --> 00:15:26,630 +lens with a force + +229 +00:15:30,410 --> 00:15:35,470 +10 diopter plus 10 diopter the plus 10 diopter the + +230 +00:15:35,470 --> 00:15:38,670 +focal length is how much? or the anterior focal + +231 +00:15:38,670 --> 00:15:41,050 +point is how much? 10 centimeters how did we know? + +232 +00:15:41,710 --> 00:15:46,350 +let's go to a calculation process we say I have a + +233 +00:15:46,350 --> 00:15:50,530 +lens plus 10 diopter plus 10 diopter the F is + +234 +00:15:50,530 --> 00:15:56,580 +what?equal to the refractive index of the lens in + +235 +00:15:56,580 --> 00:16:04,120 +the air by plus ten diopters which is equal to one + +236 +00:16:04,120 --> 00:16:08,660 +over ten which is ten and the diopter meter is + +237 +00:16:08,660 --> 00:16:11,040 +minus one which is ten when it comes out it + +238 +00:16:11,040 --> 00:16:15,320 +becomes ten meters which is ten centimeters + +239 +00:16:19,780 --> 00:16:23,480 +centimeter. So the focal length or the fa of the + +240 +00:16:23,480 --> 00:16:26,360 +plus 10 is at a distance of 10 centimeters. While + +241 +00:16:26,360 --> 00:16:28,900 +the plus 5 is at a distance of 20 centimeters in + +242 +00:16:28,900 --> 00:16:32,140 +the equation that I divide the refractive index of + +243 +00:16:32,140 --> 00:16:34,980 +the medium by the power of the lens. We see here + +244 +00:16:34,980 --> 00:16:36,560 +that we put this lens at a distance of 10 + +245 +00:16:36,560 --> 00:16:37,140 +centimeters. + +246 +00:16:39,660 --> 00:16:42,920 +We put it at a distance of 10 centimeters. We see + +247 +00:16:42,920 --> 00:16:45,240 +that all the rays are parallel to each other. + +248 +00:16:48,740 --> 00:16:52,360 +exactly it will be parallel to each other if I + +249 +00:16:52,360 --> 00:16:55,660 +make it closer it will be divergent if I make it + +250 +00:16:55,660 --> 00:16:59,240 +farther it will be convergent so when I put it on + +251 +00:16:59,240 --> 00:17:06,720 +an exact distance exactly on the light source on + +252 +00:17:06,720 --> 00:17:11,820 +the faThe advantage of any light emitted by F-A is + +253 +00:17:11,820 --> 00:17:13,880 +that it comes out of the lens parallel to each + +254 +00:17:13,880 --> 00:17:17,940 +other and parallel to the optical axis and forms a + +255 +00:17:17,940 --> 00:17:21,620 +picture in the plus optical infinity This is the + +256 +00:17:21,620 --> 00:17:23,580 +first information or the first advantage related + +257 +00:17:23,580 --> 00:17:29,130 +to F-Aالان في معلومة تانية اكمال The same is true + +258 +00:17:29,130 --> 00:17:32,530 +of light emanating from any point in the anterior + +259 +00:17:32,530 --> 00:17:36,630 +focal plane هذه الكلام بدنا نفهمه بنقول انا في + +260 +00:17:36,630 --> 00:17:41,050 +عندي anterior focal point نقطة بيسموها البقرة + +261 +00:17:41,050 --> 00:17:44,310 +الأمامية وفي عندي مستوى فراغي بيمر فيها بيسموه + +262 +00:17:44,310 --> 00:17:49,090 +anterior focal planeWhen I say anterior focal + +263 +00:17:49,090 --> 00:17:51,890 +point, it means that I mean the high point on the + +264 +00:17:51,890 --> 00:17:56,470 +optical axis When I say anterior focal plane, it + +265 +00:17:56,470 --> 00:17:59,010 +means the spatial level that passes through it + +266 +00:17:59,010 --> 00:18:02,350 +This speech, we said that any light that comes out + +267 +00:18:02,350 --> 00:18:05,630 +of the + +268 +00:18:05,630 --> 00:18:11,920 +lens is equal to each otherAnd in the same way it + +269 +00:18:11,920 --> 00:18:15,040 +is parallel to the optical axis and it forms a + +270 +00:18:15,040 --> 00:18:18,420 +picture in the plus optical infinity Now there is + +271 +00:18:18,420 --> 00:18:22,320 +another scenario That I have a narrow point, but + +272 +00:18:22,320 --> 00:18:26,040 +not on the face It is in a place in the anterior + +273 +00:18:26,040 --> 00:18:28,740 +focal plane In the anterior focal plane For + +274 +00:18:28,740 --> 00:18:32,000 +example, this is the point that I am pointing at + +275 +00:18:32,000 --> 00:18:34,540 +This is the anterior focal plane and I want to + +276 +00:18:34,540 --> 00:18:39,800 +take a light emitted from point AThis point A is + +277 +00:18:39,800 --> 00:18:43,300 +not the FA, but it is one of the points in the + +278 +00:18:43,300 --> 00:18:46,540 +anterior focal plane What will be the direction of + +279 +00:18:46,540 --> 00:18:49,960 +the rays coming from point A? From point A, let me + +280 +00:18:49,960 --> 00:18:53,120 +just, to clarify the picture, I say this is point + +281 +00:18:53,120 --> 00:18:58,620 +A And + +282 +00:18:58,620 --> 00:19:01,980 +I mark it with an arrow to make it clear The point + +283 +00:19:01,980 --> 00:19:05,200 +A, which is the point that I want to mark now with + +284 +00:19:05,200 --> 00:19:09,160 +an arrowWhich is the center of gravity of the + +285 +00:19:09,160 --> 00:19:14,720 +object The center of gravity of the object We + +286 +00:19:14,720 --> 00:19:20,080 +give it colors to make it clear as well So what is + +287 +00:19:20,080 --> 00:19:24,120 +the point? The light came out of it and some of it + +288 +00:19:24,120 --> 00:19:28,760 +entered the lens Does it have a feature? What is + +289 +00:19:28,760 --> 00:19:31,440 +this point? It does not fall on the face exactly + +290 +00:19:31,440 --> 00:19:35,780 +It does not fall on the anterior focal pointnot + +291 +00:19:35,780 --> 00:19:39,140 +the anterior focal point, but within the point + +292 +00:19:39,140 --> 00:19:42,720 +within the anterior focal plane, within this empty + +293 +00:19:42,720 --> 00:19:45,340 +level Scientists found in the experiment that it + +294 +00:19:45,340 --> 00:19:48,920 +also has a feature that the rays that come out of + +295 +00:19:48,920 --> 00:19:53,320 +it are parallel to each other and form a picture + +296 +00:19:53,320 --> 00:19:56,420 +in the plus optical infinity but not parallel to + +297 +00:19:56,420 --> 00:20:00,060 +the optical axis Let's go back and see when it is + +298 +00:20:01,450 --> 00:20:06,330 +The light emitted from the light source FA is + +299 +00:20:06,330 --> 00:20:10,850 +coming directly to the front camera The result is + +300 +00:20:10,850 --> 00:20:15,130 +that the rays are parallel to each other and + +301 +00:20:15,130 --> 00:20:19,830 +parallel to the optical axis at the same timeAnd + +302 +00:20:19,830 --> 00:20:22,810 +it forms a picture in the plus optical infinity + +303 +00:20:22,810 --> 00:20:26,470 +Here there is a simple difference that the light + +304 +00:20:26,470 --> 00:20:28,910 +point that came out of it did not come to the face + +305 +00:20:28,910 --> 00:20:32,940 +but came to the anterior focal planeit will give + +306 +00:20:32,940 --> 00:20:35,480 +me the same result with a slight difference what + +307 +00:20:35,480 --> 00:20:37,780 +is the same result from the rays that will come + +308 +00:20:37,780 --> 00:20:41,960 +out of the lens will come out parallel and as long + +309 +00:20:41,960 --> 00:20:43,820 +as it is parallel it will not meet except in + +310 +00:20:43,820 --> 00:20:47,400 +infinity in the end it will not meet they say that + +311 +00:20:47,400 --> 00:20:50,360 +it will form a picture in the plus optical + +312 +00:20:50,360 --> 00:20:53,460 +infinity but it will not be parallel to the + +313 +00:20:53,460 --> 00:20:56,100 +optical axis we will see this in the simulation it + +314 +00:20:56,100 --> 00:21:01,500 +will simplify the matter for us very much Here I + +315 +00:21:01,500 --> 00:21:07,240 +have a lens, the light source is coming to the + +316 +00:21:07,240 --> 00:21:11,680 +face exactly. Therefore, the rays are parallel to + +317 +00:21:11,680 --> 00:21:15,040 +each other and parallel to the optical axis and + +318 +00:21:15,040 --> 00:21:17,520 +will form a picture in the plus optical infinity. + +319 +00:21:17,580 --> 00:21:20,260 +I need another point source. It comes to the + +320 +00:21:20,260 --> 00:21:23,120 +anterior focal plane. This anterior focal plane I + +321 +00:21:23,120 --> 00:21:27,180 +put it to the grid to help us in this case. This + +322 +00:21:27,180 --> 00:21:31,190 +anterior focal Let's suppose this point is lost, + +323 +00:21:31,310 --> 00:21:34,230 +we need to use the blocker to store the things + +324 +00:21:34,230 --> 00:21:39,810 +that we want to remove and + +325 +00:21:39,810 --> 00:21:42,350 +we need to do duplication because there are still + +326 +00:21:42,350 --> 00:21:48,450 +a lot of things that we want to + +327 +00:21:48,450 --> 00:21:54,900 +remove That's it, this pointمضيقة وهي مقطة مضيقة + +328 +00:21:54,900 --> 00:22:00,880 +هذه تقع ال anterior focal point fa وهذه تقع في ال + +329 +00:22:00,880 --> 00:22:05,460 +anterior within the anterior focal planeLook at + +330 +00:22:05,460 --> 00:22:09,060 +the result, here the rays are parallel and here + +331 +00:22:09,060 --> 00:22:11,760 +the rays are also parallel. You can say that this + +332 +00:22:11,760 --> 00:22:13,820 +is not parallel. No, it is parallel, but the + +333 +00:22:13,820 --> 00:22:15,640 +distances between them are different. It is not a + +334 +00:22:15,640 --> 00:22:17,820 +problem, but they are parallel to each other. That + +335 +00:22:17,820 --> 00:22:19,660 +is, this and this and this and this are all + +336 +00:22:19,660 --> 00:22:23,040 +parallel, okay? Okay, now as long as it is + +337 +00:22:23,040 --> 00:22:25,380 +parallel and this is parallel, this will form a + +338 +00:22:25,380 --> 00:22:28,240 +picture in the plus optical infinity and this will + +339 +00:22:28,240 --> 00:22:30,900 +also form a picture in the plus optical infinity. + +340 +00:22:31,340 --> 00:22:34,460 +Okay.What is the only difference between them is + +341 +00:22:34,460 --> 00:22:37,540 +that this is parallel to the optical axis, while + +342 +00:22:37,540 --> 00:22:40,360 +this is parallel but not parallel to the optical + +343 +00:22:40,360 --> 00:22:43,120 +axis. Why not parallel to the optical axis? + +344 +00:22:43,240 --> 00:22:46,900 +Because the point source is called off axis, not + +345 +00:22:46,900 --> 00:22:49,580 +coming to the optical axis. Here, the point source + +346 +00:22:49,580 --> 00:22:51,940 +is coming to the optical axis, exactly coming to + +347 +00:22:51,940 --> 00:22:54,160 +the anterior focal point. And this is the meaning + +348 +00:22:54,160 --> 00:22:58,920 +of the speech that we mentioned a while ago.The + +349 +00:22:58,920 --> 00:23:02,440 +same is true of light emanating from any point in + +350 +00:23:02,440 --> 00:23:06,080 +the anterior focal plane بس من .. من أي نقطة في ال + +351 +00:23:06,080 --> 00:23:08,660 +anterior focal plane نعم من أي نقطة في ال anterior + +352 +00:23:08,660 --> 00:23:12,160 +focal plane نخد كمان point source هنا في ال + +353 +00:23:12,160 --> 00:23:15,200 +anterior focal plane .. في ال anterior focal plane + +354 +00:23:15,200 --> 00:23:21,620 +نستعين بال blocker عشان يخفي لي كل الأشعة اللي أنا + +355 +00:23:21,620 --> 00:23:25,480 +مابديش إياها نعمله duplication + +356 +00:23:29,230 --> 00:23:36,050 +I have another point on + +357 +00:23:36,050 --> 00:23:40,610 +the anterior focal plane, the rays that entered + +358 +00:23:40,610 --> 00:23:49,330 +the lens came out parallelequal to each other, so + +359 +00:23:49,330 --> 00:23:51,350 +it will form a picture in the plus optical + +360 +00:23:51,350 --> 00:23:55,350 +infinity, but it will not be these rays equal to + +361 +00:23:55,350 --> 00:23:58,550 +the optical axis, equal to the optical axis, and + +362 +00:23:58,550 --> 00:24:00,810 +so on, the picture became clear in a way that + +363 +00:24:00,810 --> 00:24:02,170 +there is no doubt about it, there is no doubt + +364 +00:24:02,170 --> 00:24:05,430 +about it, we can take another example, another + +365 +00:24:05,430 --> 00:24:09,570 +example, we do set, reset for this one, we say + +366 +00:24:09,570 --> 00:24:13,510 +that we want this grid, and we want point source + +367 +00:24:13,510 --> 00:24:14,170 +of light + +368 +00:24:18,450 --> 00:24:21,890 +we want to reduce the density of the rays and we + +369 +00:24:21,890 --> 00:24:27,250 +want to make a blocker to reduce some of the rays + +370 +00:24:27,250 --> 00:24:30,690 +we + +371 +00:24:30,690 --> 00:24:35,330 +want to make a duplication for the blocker to hide + +372 +00:24:35,330 --> 00:24:39,230 +many of the rays many of the rays ok now we want + +373 +00:24:39,230 --> 00:24:45,970 +the ruler to use it in the measurement sorry + +374 +00:24:48,090 --> 00:24:56,330 +we need the ruler excuse me we + +375 +00:24:56,330 --> 00:25:01,070 +will start from the zero point we + +376 +00:25:01,070 --> 00:25:07,950 +will use a lens plus four diopter to plus four + +377 +00:25:07,950 --> 00:25:11,230 +diopter before we move we say to plus four diopter + +378 +00:25:11,230 --> 00:25:15,510 +to plus four diopter of the lens + +379 +00:25:18,540 --> 00:25:23,560 +one which is on the plus four diopter and is equal + +380 +00:25:23,560 --> 00:25:26,580 +to a quarter of a meter, a quarter of a meter and + +381 +00:25:26,580 --> 00:25:30,000 +the diopter which is minus one meter when it goes + +382 +00:25:30,000 --> 00:25:31,720 +up it becomes a quarter of a meter which is twenty + +383 +00:25:31,720 --> 00:25:34,560 +-five centimeters, so the focal length of it or + +384 +00:25:34,560 --> 00:25:38,180 +the fa is located a quarter of a meter to the left + +385 +00:25:38,180 --> 00:25:41,150 +of the lens to the left of the lensmeans it will + +386 +00:25:41,150 --> 00:25:47,270 +be 25 cm away from the lens these are in mm, 200 + +387 +00:25:47,270 --> 00:25:50,430 +mm means 20 cm here in the middle between 200 and + +388 +00:25:50,430 --> 00:25:54,350 +300, between 20 and 30 cm, it will be 25 cm now we + +389 +00:25:54,350 --> 00:26:03,730 +want the lens we want the focal length to be to + +390 +00:26:03,730 --> 00:26:06,910 +make its strength plus 4 we want the focal length + +391 +00:26:06,910 --> 00:26:08,750 +to be + +392 +00:26:11,250 --> 00:26:13,310 +Two hundred and fifty, two hundred and fifty + +393 +00:26:13,310 --> 00:26:16,390 +millimeters means twenty-five centimeters We come + +394 +00:26:16,390 --> 00:26:20,570 +here, we say if we put it so that the point is + +395 +00:26:20,570 --> 00:26:23,310 +closer, the rays will be divergent, further away, + +396 +00:26:23,390 --> 00:26:26,290 +the rays will be convergent Okay, if we put the + +397 +00:26:26,290 --> 00:26:28,270 +point so that it comes exactly, + +398 +00:26:30,790 --> 00:26:36,390 +so that the rays are parallel to each otherbecause + +399 +00:26:36,390 --> 00:26:40,190 +the point became on the fa of the lens it became + +400 +00:26:40,190 --> 00:26:44,450 +exactly on the fa of the lens okay if we have off + +401 +00:26:44,450 --> 00:26:48,350 +axis or .. or .. or .. yes off axis, it's not on + +402 +00:26:48,350 --> 00:26:50,750 +the optical axis, it's a point source for another + +403 +00:26:50,750 --> 00:26:59,330 +light and we say it on the same focal plane we put + +404 +00:26:59,330 --> 00:27:03,910 +the blocker to help us seeCancel rays that have + +405 +00:27:03,910 --> 00:27:05,510 +nothing to do with the lens. + +406 +00:27:15,190 --> 00:27:20,090 +These rays have nothing to do with the lens.As + +407 +00:27:20,090 --> 00:27:22,230 +long as the point source is on the anterior focal + +408 +00:27:22,230 --> 00:27:25,670 +plane The external rays will be parallel to each + +409 +00:27:25,670 --> 00:27:28,030 +other It will form a picture in the plus optical + +410 +00:27:28,030 --> 00:27:31,290 +infinity But it will not be parallel to the + +411 +00:27:31,290 --> 00:27:33,630 +optical axis And this is the feature that + +412 +00:27:33,630 --> 00:27:36,170 +distinguishes FA from any point in the anterior + +413 +00:27:36,170 --> 00:27:40,010 +focal plane If we bring another point source to + +414 +00:27:40,010 --> 00:27:46,170 +light Also on the anterior focal plane And we + +415 +00:27:46,170 --> 00:27:47,410 +tried with the blocker that + +416 +00:27:55,820 --> 00:27:59,220 +استغنى عن الأشعة اللى هى + +417 +00:28:03,210 --> 00:28:06,670 +واضح أن الأشعة الأربعة هي واحد، اتنين، تلاتة، + +418 +00:28:06,670 --> 00:28:11,410 +أربعة، موازية لبعضها البعض، موازية لبعضها البعض، + +419 +00:28:11,410 --> 00:28:17,530 +موازية لبعضها البعض، موازية لبعضها البعض، موازية + +420 +00:28:17,530 --> 00:28:22,670 +لبعضها البعض، موازية لبعضها البعض، موازية لبعضها + +421 +00:28:22,670 --> 00:28:23,870 +البعض، موازية لبعضها البعض، موازية لبعضها البعض، + +422 +00:28:23,870 --> 00:28:26,390 +موازية لبعضها البعض، موازية لبعضها البعض، موازية + +423 +00:28:26,390 --> 00:28:26,970 +لبعضها البعض، موازية لبعضها البعض، موازية لبعضها + +424 +00:28:26,970 --> 00:28:30,190 +البعض، موازية لبعضها البعض، مOkay, now let's + +425 +00:28:30,190 --> 00:28:33,210 +reverse the situation completely Collimated light + +426 +00:28:33,210 --> 00:28:38,230 +entering a lens from minus optical infinity image + +427 +00:28:38,230 --> 00:28:42,230 +to posterior secondary focal point What does this + +428 +00:28:42,230 --> 00:28:46,670 +mean? What does this mean? We want .. this is the + +429 +00:28:46,670 --> 00:28:54,870 +grid and this is .. we want lens this is the lens + +430 +00:29:09,010 --> 00:29:13,550 +We need to support it with a ruler To + +431 +00:29:13,550 --> 00:29:19,410 +clarify our idea Let's + +432 +00:29:19,410 --> 00:29:22,990 +move the ruler away a bit We will need it later + +433 +00:29:22,990 --> 00:29:28,790 +Now we need every mated light That is a parallel + +434 +00:29:28,790 --> 00:29:31,350 +light coming from the minus optical infinity + +435 +00:29:31,350 --> 00:29:36,840 +Coming from the minus optical infinityeverything + +436 +00:29:36,840 --> 00:29:39,400 +will gather and form a picture in the FB in the + +437 +00:29:39,400 --> 00:29:45,880 +posterior focus which is the distance we bring it + +438 +00:29:45,880 --> 00:29:52,100 +as follows the posterior focus let's say the lens + +439 +00:29:52,100 --> 00:29:55,460 +I have plus five plus five diopter I have a lens + +440 +00:29:55,460 --> 00:29:59,760 +plus five diopter we want to bring its FB its FB + +441 +00:29:59,760 --> 00:30:02,360 +is equal to the power + +442 +00:30:04,420 --> 00:30:10,100 +unconditional over the power of the lens and it is + +443 +00:30:10,100 --> 00:30:15,640 +equal to 1 unconditional over the power plus 5 + +444 +00:30:15,640 --> 00:30:22,040 +diopter and it is equal to 20 centimeters 1 over 5 + +445 +00:30:22,040 --> 00:30:27,500 +meters which is 5 meters 2 of 10 meters and it is + +446 +00:30:27,500 --> 00:30:32,640 +equal to20 cm we will see this in the simulation + +447 +00:30:32,640 --> 00:30:37,440 +we will say here we have a lens the lens to know + +448 +00:30:37,440 --> 00:30:41,400 +how big it is this is 10 diopter to be 5 diopter + +449 +00:30:41,400 --> 00:30:46,980 +the focal length has to be 10 cm okay now we + +450 +00:30:46,980 --> 00:30:50,640 +measure the light is equal to each other the + +451 +00:30:50,640 --> 00:30:56,600 +distance between the lens and the lens is 220 cm + +452 +00:30:58,260 --> 00:31:01,420 +Equivalent rays coming from the minus optical + +453 +00:31:01,420 --> 00:31:06,040 +infinity on the left side Why did we say coming + +454 +00:31:06,040 --> 00:31:08,360 +from the minus optical infinity? Because its + +455 +00:31:08,360 --> 00:31:10,500 +divergence is zero What does zero mean divergence? + +456 +00:31:11,260 --> 00:31:15,760 +It means it is neither convergent + +457 +00:31:15,760 --> 00:31:18,880 +nor divergent That is, the U at the surface of the + +458 +00:31:18,880 --> 00:31:22,820 +lens is zero Example, we say as usual Equivalent + +459 +00:31:22,820 --> 00:31:26,020 +rays to each other Let's suppose we have an + +460 +00:31:26,020 --> 00:31:29,960 +example hereI will delete it and say as follows, + +461 +00:31:30,040 --> 00:31:37,300 +here we have optical access and + +462 +00:31:37,300 --> 00:31:49,320 +here I have lens with 5 diopters for example or + +463 +00:31:49,320 --> 00:31:55,060 +let's say plus 10 diopters, no problemNow there + +464 +00:31:55,060 --> 00:31:58,200 +are rays parallel to each other and parallel to + +465 +00:31:58,200 --> 00:32:03,020 +the optical axis Parallel to each other and at the + +466 +00:32:03,020 --> 00:32:08,340 +same time parallel to the optical axis Let's draw + +467 +00:32:08,340 --> 00:32:15,980 +it better These + +468 +00:32:15,980 --> 00:32:18,760 +rays as parallel to each other, the divergence is + +469 +00:32:18,760 --> 00:32:22,340 +zero Let's say as follows + +470 +00:32:25,890 --> 00:32:42,470 +يو تساوي ناقص ان على او انا بدي او او تساوي ناقص + +471 +00:32:42,470 --> 00:32:48,390 +ان على يو + +472 +00:32:48,390 --> 00:32:50,930 +ويساوي + +473 +00:32:52,390 --> 00:32:58,830 +-1 to the power of U0. Why U0? Because the rays + +474 +00:32:58,830 --> 00:33:01,210 +are parallel to each other. U is the vergence, and + +475 +00:33:01,210 --> 00:33:03,270 +we said that the vergence of the parallel rays is + +476 +00:33:03,270 --> 00:33:08,290 +zero. Any part divided by zero minus infinity. I + +477 +00:33:08,290 --> 00:33:11,110 +have the sign minus as if it means north, not + +478 +00:33:11,110 --> 00:33:14,790 +because it is minus as a value.Minus infinity. So + +479 +00:33:14,790 --> 00:33:17,290 +it's like the object is in the minus optical + +480 +00:33:17,290 --> 00:33:19,550 +infinity. It's like it's on the left in the left + +481 +00:33:19,550 --> 00:33:23,670 +end of the left. So that's why we say any parallel + +482 +00:33:23,670 --> 00:33:27,370 +rays coming from the minus optical infinity, + +483 +00:33:27,950 --> 00:33:30,410 +coming from the minus optical infinity means + +484 +00:33:30,410 --> 00:33:33,770 +parallel to each other. Where will the image be + +485 +00:33:33,770 --> 00:33:37,250 +formed? So the U is zero. Okay, the U is zero. + +486 +00:33:37,350 --> 00:33:45,880 +Let's continue. The U is zero. U plus power is + +487 +00:33:45,880 --> 00:33:51,660 +equal to v u zero plus power is equal to ten + +488 +00:33:51,660 --> 00:33:57,860 +diopters is equal to v so v is equal to ten + +489 +00:33:57,860 --> 00:34:01,820 +diopters plus ten diopters where is the image + +490 +00:34:01,820 --> 00:34:06,560 +going to be? v is equal to unconditional over i + +491 +00:34:06,560 --> 00:34:18,420 +and negative over i soI تساوي Uncharted على V + +492 +00:34:18,420 --> 00:34:21,740 +ويساوي + +493 +00:34:21,740 --> 00:34:24,760 +واحد + +494 +00:34:24,760 --> 00:34:34,560 +على plus عشرة ديوبتر ويساوي واحد من عشرة متر + +495 +00:34:34,560 --> 00:34:39,730 +ويساوي عشرة صندوقSo the picture will be at a + +496 +00:34:39,730 --> 00:34:43,930 +distance of 10 cm, the same distance as the + +497 +00:34:43,930 --> 00:34:46,170 +posterior focal point Because the posterior focal + +498 +00:34:46,170 --> 00:34:49,810 +point, we got it as 1 over 10, 10 meters means 10 + +499 +00:34:49,810 --> 00:34:55,560 +cm, so any rays parallel to each otherand it's + +500 +00:34:55,560 --> 00:34:57,880 +equilateral to the optical axis and it's image + +501 +00:34:57,880 --> 00:35:03,060 +will be collected in the posterior focal point so + +502 +00:35:03,060 --> 00:35:06,220 +collimated light entering a lens from minus + +503 +00:35:06,220 --> 00:35:09,980 +optical infinity image to the posterior secondary + +504 +00:35:09,980 --> 00:35:13,100 +focal point collimated light is the light that is + +505 +00:35:13,100 --> 00:35:16,220 +parallel to each otherOr they are equal to each + +506 +00:35:16,220 --> 00:35:18,640 +other And what comes from the minus optical + +507 +00:35:18,640 --> 00:35:23,500 +infinity will be in the posterior focal point And + +508 +00:35:23,500 --> 00:35:25,840 +this is a feature of the posterior focal point + +509 +00:35:25,840 --> 00:35:30,080 +Okay, now as usualWhat is the advantage? The + +510 +00:35:30,080 --> 00:35:34,140 +advantage is when I see parallel rays parallel to + +511 +00:35:34,140 --> 00:35:35,380 +each other and parallel to the optical axis + +512 +00:35:35,380 --> 00:35:37,640 +without any calculations, I don't calculate u, or + +513 +00:35:37,640 --> 00:35:40,560 +p, or v, all these equations are not necessary As + +514 +00:35:40,560 --> 00:35:42,840 +long as I see the view that the rays are parallel + +515 +00:35:42,840 --> 00:35:45,440 +to each other and parallel to the optical axis, + +516 +00:35:45,800 --> 00:35:47,940 +quickly I say where is the posterior focal point, + +517 +00:35:47,980 --> 00:35:50,380 +the image is here, at the posterior focal point + +518 +00:35:50,380 --> 00:35:54,760 +Also in simulation, here we chose a lens plus + +519 +00:35:54,760 --> 00:35:59,560 +five, plus five, how did we know plus five?200 + +520 +00:35:59,560 --> 00:36:04,640 +milli means 20 cm above the focal point If we + +521 +00:36:04,640 --> 00:36:11,940 +change it and say we want it 100 milli which is 10 + +522 +00:36:11,940 --> 00:36:17,310 +cm, we will find that this image will be 10 cmCan + +523 +00:36:17,310 --> 00:36:20,190 +you see it exactly? Ok, why at a distance of 10 + +524 +00:36:20,190 --> 00:36:23,370 +cm? Because the focal point of the 10 diopter is + +525 +00:36:23,370 --> 00:36:26,370 +at a distance of 10 cm Ok, we want to choose a + +526 +00:36:26,370 --> 00:36:28,830 +certain lens strength, let's say a lens plus 2 + +527 +00:36:28,830 --> 00:36:32,570 +diopter Plus 2 diopter, how much is the rear focal + +528 +00:36:32,570 --> 00:36:37,810 +length? We say that the rear focal length is Fp + +529 +00:36:37,810 --> 00:36:42,080 +equals to a constant over Iانشرطة عفوًا على ال + +530 +00:36:42,080 --> 00:36:46,800 +power اسم على ال power ويساوي انشرطة لي واحد احنا + +531 +00:36:46,800 --> 00:36:50,480 +في الهواء على ال power اتنين diopter او plus اتنين + +532 +00:36:50,480 --> 00:36:56,440 +diopter ويساوي نص + +533 +00:36:56,440 --> 00:37:00,870 +متر يعني خمسين صندق نص متر يعني خمسين صندقExcuse + +534 +00:37:00,870 --> 00:37:05,430 +me, someone wrote twenty, fifty, six, fifty, six + +535 +00:37:05,430 --> 00:37:08,130 +Ok, let's apply this practically, we say as + +536 +00:37:08,130 --> 00:37:14,420 +follows, we have .. I want it plus2 diopter means + +537 +00:37:14,420 --> 00:37:21,040 +it should be 50 cm 500 mm Let's apply this and see + +538 +00:37:21,040 --> 00:37:26,500 +how the image is gathered at a distance of 50 cm + +539 +00:37:26,500 --> 00:37:29,380 +at the point Always the rays are always parallel + +540 +00:37:29,380 --> 00:37:33,460 +inside the lens Inside the lens coming from the + +541 +00:37:33,460 --> 00:37:37,380 +minus optical infinity Always without any + +542 +00:37:37,380 --> 00:37:40,640 +calculations The image of the parallel rays will + +543 +00:37:40,640 --> 00:37:43,970 +be in the posterior focal pointHow do I get the + +544 +00:37:43,970 --> 00:37:46,610 +posterior focal point? I divide it by Uncharted + +545 +00:37:46,610 --> 00:37:50,670 +which is the refractive index behind the lens + +546 +00:37:50,670 --> 00:37:54,190 +Uncharted divided by the power of the lens. The + +547 +00:37:54,190 --> 00:37:59,930 +power of the lens is 20 diopters. 20 diopters + +548 +00:37:59,930 --> 00:38:05,350 +means that the focal length is 55 cm which is 50 + +549 +00:38:05,350 --> 00:38:10,540 +mm.Can you see it? On a distance of 5 cm, which is + +550 +00:38:10,540 --> 00:38:14,400 +10 cm, 20 cm, which is on a distance of 5 cm. So, + +551 +00:38:15,420 --> 00:38:20,240 +in one word, in one word, any lens that has a + +552 +00:38:20,240 --> 00:38:23,280 +collimated light that is parallel to each other + +553 +00:38:23,280 --> 00:38:25,820 +and parallel to the optical axis, the image will + +554 +00:38:25,820 --> 00:38:29,340 +be formed in the posterior focal point exactly as + +555 +00:38:29,340 --> 00:38:34,240 +this drawing indicates. Is the story over? No. The + +556 +00:38:34,240 --> 00:38:37,060 +thing is still missing. Collimated of axis rays + +557 +00:38:37,980 --> 00:38:41,300 +from minus infinity focus to the posterior focal + +558 +00:38:41,300 --> 00:38:47,020 +plane I have a posterior focal point and I also + +559 +00:38:47,020 --> 00:38:50,580 +have a posterior focal plane posterior focal plane + +560 +00:38:50,580 --> 00:38:53,260 +let's look at the view that will explain the idea + +561 +00:38:53,260 --> 00:38:55,860 +let's assume that the lens has 5 diopters which is + +562 +00:38:55,860 --> 00:39:01,180 +20 centimeters of its original distance okay now I + +563 +00:39:01,180 --> 00:39:04,800 +want another source of light also parallel to each + +564 +00:39:04,800 --> 00:39:07,120 +other but off axis + +565 +00:39:12,190 --> 00:39:14,910 +this is off axis, another source of light, can you + +566 +00:39:14,910 --> 00:39:17,910 +see it? where did the picture come from? the rays + +567 +00:39:17,910 --> 00:39:21,210 +are parallel to each other but off axis doesn't + +568 +00:39:21,210 --> 00:39:23,110 +mean they are parallel to the optical axis they + +569 +00:39:23,110 --> 00:39:25,150 +are not parallel to the optical axis the picture + +570 +00:39:25,150 --> 00:39:29,150 +was formed in the posterior focal plane okay, + +571 +00:39:29,630 --> 00:39:36,190 +third source of light parallel to each other it + +572 +00:39:36,190 --> 00:39:39,170 +came from the minus optical infinity, can you see + +573 +00:39:39,170 --> 00:39:45,120 +it too? alsoin the posterior focal planeالميزة + +574 +00:39:45,120 --> 00:39:48,640 +الوحيدة أنه يكون إذا كانوا موازي لل optical axis + +575 +00:39:48,640 --> 00:39:53,260 +الصورة هتتكون في ال posterior focal point إذا + +576 +00:39:53,260 --> 00:39:57,220 +كانوا متوازي مع بعض البعض بس مش موازي لل optical + +577 +00:39:57,220 --> 00:40:01,640 +axis الصورة هتتكون في ال posterior focal plane زي + +578 +00:40:01,640 --> 00:40:05,940 +ما الكلام هذا و الصورة بتوضع هنا موازي لبعض البعض + +579 +00:40:05,940 --> 00:40:10,460 +وموازي في نفس الوقت لل optical axis الصورة هتتكون + +580 +00:40:10,460 --> 00:40:15,830 +في ال posterior focal pointwhile the collimated + +581 +00:40:15,830 --> 00:40:18,170 +off axis, which is not parallel to the optical + +582 +00:40:18,170 --> 00:40:21,850 +axis raised from minus infinity focused to the + +583 +00:40:21,850 --> 00:40:25,850 +posterior focal plane as seen here these rays are + +584 +00:40:25,850 --> 00:40:28,510 +parallel to each other coming from minus infinity + +585 +00:40:28,510 --> 00:40:34,270 +but they have a feature that they are not parallel + +586 +00:40:34,270 --> 00:40:38,670 +to the optical axis however, since they are + +587 +00:40:38,670 --> 00:40:40,790 +parallel to each other in their shape + +588 +00:40:59,600 --> 00:41:03,820 +For a thin lens immersed in an uniform medium, + +589 +00:41:04,360 --> 00:41:09,120 +such as air or water, FA and FP are equidistant + +590 +00:41:09,120 --> 00:41:16,620 +from lensequidistance from lens بمعنى آخر fa و fb + +591 +00:41:16,620 --> 00:41:25,720 +نفس البعد عن يعني + +592 +00:41:26,120 --> 00:41:29,620 +FA is far away in the case of plus five diopter + +593 +00:41:29,620 --> 00:41:31,800 +lens. This is a thin lens. Of course, we call it + +594 +00:41:31,800 --> 00:41:34,980 +thin, but it is a thin lens. It is located in the + +595 +00:41:34,980 --> 00:41:37,320 +middle of a homogeneity. What does it mean in the + +596 +00:41:37,320 --> 00:41:38,700 +middle of a homogeneity? It means that in front of + +597 +00:41:38,700 --> 00:41:41,080 +it is something that is the same as behind it. + +598 +00:41:41,100 --> 00:41:43,620 +That is, in front of it is air, behind it is air. + +599 +00:41:43,840 --> 00:41:45,420 +In front of it is water, behind it is water. + +600 +00:41:51,880 --> 00:41:55,620 +Fa and Fb are equidistance from the lens, meaning + +601 +00:41:55,620 --> 00:41:57,680 +they have the same distance or they are away from + +602 +00:41:57,680 --> 00:42:00,820 +the same distance. The front cam is away from the + +603 +00:42:00,820 --> 00:42:03,760 +lens, it is the same distance that the rear cam is + +604 +00:42:03,760 --> 00:42:06,220 +away from. But in the case of differences in the + +605 +00:42:06,220 --> 00:42:08,320 +means, for example, here is air and here is water, + +606 +00:42:08,800 --> 00:42:10,820 +there is a different distance that we will be able + +607 +00:42:10,820 --> 00:42:13,200 +to get. Of course, we multiply the refractive + +608 +00:42:13,200 --> 00:42:17,260 +indexWe divide the refractive index by the power. + +609 +00:42:17,520 --> 00:42:23,460 +For example, if we assume here on this side, on + +610 +00:42:23,460 --> 00:42:27,980 +the left of the lens there is air, we say FA is + +611 +00:42:27,980 --> 00:42:31,660 +away from the next distance, which is N over the + +612 +00:42:31,660 --> 00:42:37,040 +power, which is equal to N1 and the power is 5 + +613 +00:42:37,040 --> 00:42:39,400 +diopters, + +614 +00:42:41,580 --> 00:42:46,470 +which is equal to1 over 5 diopter means 5 meters + +615 +00:42:46,470 --> 00:42:48,950 +which is 2 out of 10 meters which is 20 + +616 +00:42:48,950 --> 00:42:53,570 +centimeters okay + +617 +00:42:53,570 --> 00:42:56,570 +let's suppose here water is 1 and 3 out of 10 we + +618 +00:42:56,570 --> 00:43:04,470 +say as follows Fb F the + +619 +00:43:04,470 --> 00:43:08,010 +posterior focal point is equal to the power + +620 +00:43:12,150 --> 00:43:14,050 +because here the condition is different because + +621 +00:43:14,050 --> 00:43:15,870 +here the middle is not homogeneous, here is air, + +622 +00:43:16,210 --> 00:43:18,410 +here is water so the refractive index of water is + +623 +00:43:18,410 --> 00:43:24,790 +one and three out of ten divided by five this is + +624 +00:43:24,790 --> 00:43:27,130 +greater than or equal to let's go to the + +625 +00:43:27,130 --> 00:43:31,610 +calculator quickly we + +626 +00:43:31,610 --> 00:43:37,730 +divide one and three out of ten by five + +627 +00:43:39,320 --> 00:43:50,220 +1.310 × 5 equals 26 cm + +628 +00:43:50,220 --> 00:43:56,760 +or 26 cm from 100 meters equals + +629 +00:43:56,760 --> 00:44:02,430 +26 cmSo when the middle is not homogenous, here + +630 +00:44:02,430 --> 00:44:05,990 +air and here water, the front camera moves away + +631 +00:44:05,990 --> 00:44:08,830 +from the lens by 20 cm, while the rear camera + +632 +00:44:08,830 --> 00:44:11,190 +moves away from the lens by 26 cm, which means + +633 +00:44:11,190 --> 00:44:14,370 +further away from the front camera. When is it + +634 +00:44:14,370 --> 00:44:17,530 +equal to fA and fB in their distance from the + +635 +00:44:17,530 --> 00:44:20,610 +lens? When the middle is homogenous, when the + +636 +00:44:20,610 --> 00:44:23,690 +middle is homogenous, and this is how we explain + +637 +00:44:23,690 --> 00:44:25,510 +these things. + +638 +00:44:29,490 --> 00:44:32,410 +For a thin lens immersed in a uniform medium, + +639 +00:44:32,690 --> 00:44:37,510 +uniform optical medium such as air or water, F-A + +640 +00:44:37,510 --> 00:44:41,690 +and F-P are equidistant from the lens. Okay, now + +641 +00:44:41,690 --> 00:44:45,590 +there is one last point. We have two types of + +642 +00:44:45,590 --> 00:44:47,930 +lenses. We have the plus lens, which we always + +643 +00:44:47,930 --> 00:44:51,250 +talk about, and the minus lens, which so far we + +644 +00:44:51,250 --> 00:44:53,990 +have not mentioned at all. Of course, what is + +645 +00:44:53,990 --> 00:44:56,490 +different from each other? The minus lens, the + +646 +00:44:56,490 --> 00:45:01,040 +minus lens,In contrast to the plus lens, let's try + +647 +00:45:01,040 --> 00:45:03,240 +to get a picture here that shows the minus lens, + +648 +00:45:03,320 --> 00:45:07,840 +this one for example looks like the minus lens We + +649 +00:45:07,840 --> 00:45:14,080 +say the minus lens FA on the right, behind the + +650 +00:45:14,080 --> 00:45:14,420 +lens, + +651 +00:45:17,260 --> 00:45:19,420 +FA will be behind the lens + +652 +00:45:29,380 --> 00:45:35,560 +و FB أمام العدسة يعني عكس الblast lens، FB هتكون + +653 +00:45:35,560 --> 00:45:40,640 +لورا عن ناحية اليمين اللي بيأشر عليها و FB هتكون + +654 +00:45:40,640 --> 00:45:42,200 +أمام العدسة + +655 +00:46:05,010 --> 00:46:09,370 +For a convex plus power spherical lens, FA is + +656 +00:46:09,370 --> 00:46:12,390 +located anterior to the lens and FP is located + +657 +00:46:12,390 --> 00:46:15,370 +posterior to the lens. For a concave minus + +658 +00:46:15,370 --> 00:46:19,510 +spherical lens, the points are reversed. FA is + +659 +00:46:19,510 --> 00:46:23,530 +posterior to the lens andFp anterior to the lens + +660 +00:46:23,530 --> 00:46:31,210 +To avoid confusion, some authors prefer the terms + +661 +00:46:31,210 --> 00:46:35,790 +F and F-sharta instead of F-A and F-P. But we will + +662 +00:46:35,790 --> 00:46:39,530 +keep using F-A and F-P because God willing, it + +663 +00:46:39,530 --> 00:46:42,530 +does not cause any confusion. We will stop at this + +664 +00:46:42,530 --> 00:46:46,510 +point and see the next topic which is Paraxial Ray + +665 +00:46:46,510 --> 00:46:49,480 +Tracing through Convex Spherical Lensبيعطيكم + +666 +00:46:49,480 --> 00:46:52,360 +العافية والسلام عليكم ورحمة الله وبرك + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/7EgIsWUhHBE_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/7EgIsWUhHBE_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..406265d47aaad909d81f2f9f3fcc58465ca84976 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/7EgIsWUhHBE_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2872, "start": 1.5, "end": 28.72, "text": " Bismillah ar-Rahman ar-Rahim, we have a problem with the lens decentration The optical center of the lens on the right became outwards 8mm and downwards 7mm So it went out 8mm and down 7mm of course the lens strength Plus 6 diopter", "tokens": [34594, 32703, 594, 12, 42077, 1601, 594, 12, 42077, 332, 11, 321, 362, 257, 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"temperature": 1.0}, {"id": 14, "seek": 42077, "start": 392.07, "end": 420.77, "text": "to compare vertical with vertical and horizontal with horizontal we come to the left eye the left eye the horizontal effect decentered outward 5mm to outside 5mm and it should be like this exactly in front of the pupil it became decentration outward so I also have a base out effect", "tokens": [1353, 6794, 9429, 365, 9429, 293, 12750, 365, 12750, 321, 808, 281, 264, 1411, 3313, 264, 1411, 3313, 264, 12750, 1802, 8681, 4073, 26914, 1025, 2174, 281, 2380, 1025, 2174, 293, 309, 820, 312, 411, 341, 2293, 294, 1868, 295, 264, 44533, 309, 3062, 8681, 2405, 26914, 370, 286, 611, 362, 257, 3096, 484, 1802], "avg_logprob": -0.5465960023658616, "compression_ratio": 1.7515527950310559, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 392.07, "end": 392.37, "word": "to", "probability": 0.23974609375}, {"start": 392.37, "end": 392.65, "word": " compare", "probability": 0.4228515625}, {"start": 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"seek": 42713, "start": 422.63, "end": 427.13, "text": "جداش مقداره؟ طبعاً لما بيقول horizontal effect left", "tokens": [7435, 3215, 33599, 3714, 28543, 9640, 3224, 22807, 23032, 3555, 3615, 995, 14111, 5296, 15042, 4724, 1829, 39648, 12750, 1802, 1411], "avg_logprob": -0.25710225918076257, "compression_ratio": 0.9036144578313253, "no_speech_prob": 0.0, "words": [{"start": 422.63, "end": 423.09, "word": "جداش", "probability": 0.6187337239583334}, {"start": 423.09, "end": 424.25, "word": " مقداره؟", "probability": 0.8458984375}, {"start": 424.25, "end": 424.61, "word": " طبعاً", "probability": 0.816162109375}, {"start": 424.61, "end": 424.69, "word": " لما", "probability": 0.870849609375}, {"start": 424.69, "end": 424.97, "word": " بيقول", "probability": 0.84765625}, {"start": 424.97, "end": 425.65, "word": " horizontal", "probability": 0.61083984375}, {"start": 425.65, "end": 426.63, "word": " effect", "probability": 0.85546875}, {"start": 426.63, "end": 427.13, "word": " left", 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ووصلنا عند موضوع حقيقة غاية في + +3 +00:00:09,390 --> 00:00:15,470 +الأهمية وإتقانه لابد منه واللي هو موضوع الـ Lens + +4 +00:00:15,470 --> 00:00:20,510 +Combinations يعني كيف أنا أتعامل مع optical system + +5 +00:00:20,510 --> 00:00:26,130 +ومع رحلة الضوء من object بس مش رحلة خلال عدسة + +6 +00:00:26,130 --> 00:00:38,240 +واحدة وإنماmost optical + +7 +00:00:38,240 --> 00:00:43,910 +systems consist of several lensesSo, most of the + +8 +00:00:43,910 --> 00:00:47,190 +optical systems are made up of multiple lenses, + +9 +00:00:47,490 --> 00:00:50,750 +not one lens We want to make an example, we say + +10 +00:00:50,750 --> 00:00:54,330 +consider an optical system consisting of two thin + +11 +00:00:54,330 --> 00:00:59,690 +lenses in air We have two lenses, these two thin + +12 +00:00:59,690 --> 00:01:03,330 +lenses are in the air The first lens has a force + +13 +00:01:03,330 --> 00:01:06,930 +of plus five diopters, the second lens has a force + +14 +00:01:06,930 --> 00:01:11,450 +of plus eight dioptersand they are separated by 45 + +15 +00:01:11,450 --> 00:01:13,770 +cm. The distance between the first lens and the + +16 +00:01:13,770 --> 00:01:19,810 +second lens is 45 cm. If we place an object on the + +17 +00:01:19,810 --> 00:01:23,150 +left of the first lens, which is plus 5, on its + +18 +00:01:23,150 --> 00:01:26,370 +left, I mean, we start from the left in Geometric + +19 +00:01:26,370 --> 00:01:29,350 +Optics, as it is known, this object moves away + +20 +00:01:29,350 --> 00:01:31,610 +from the first lens, which is its force plus 5, + +21 +00:01:31,710 --> 00:01:36,230 +which is one meter away, one meter to the left, + +22 +00:01:36,810 --> 00:01:40,550 +that is, in front of the first lens.السؤال المطلوب + +23 +00:01:40,550 --> 00:01:44,130 +او المطروح where is the final image and what is + +24 +00:01:44,130 --> 00:01:47,470 +the total transphase magnification؟ وين الصورة + +25 +00:01:47,470 --> 00:01:52,070 +النهائية هتتكون؟ وما هو ال transphase + +26 +00:01:52,070 --> 00:01:56,290 +magnification الكل؟ الكل لان انا عندي عدستين من + +27 +00:01:56,290 --> 00:01:59,990 +عدسة واحدةIn my mind now, we need to understand a + +28 +00:01:59,990 --> 00:02:03,890 +very important rule When I deal with two lenses, + +29 +00:02:04,130 --> 00:02:07,790 +more, more than one lens, more than one lens It is + +30 +00:02:07,790 --> 00:02:10,930 +very, very, very important that I deal with each + +31 +00:02:10,930 --> 00:02:14,070 +lens one by one If I want to succeed in solving a + +32 +00:02:14,070 --> 00:02:15,650 +problem like that, a problem like that is not + +33 +00:02:15,650 --> 00:02:19,570 +complicated at all But I want to imagine when I + +34 +00:02:19,570 --> 00:02:22,310 +deal with the first lens, which in my example is + +35 +00:02:22,310 --> 00:02:26,530 +plus fiveI start to imagine that the object is one + +36 +00:02:26,530 --> 00:02:28,610 +meter away from the first lens and I completely + +37 +00:02:28,610 --> 00:02:32,350 +forget that there is another lens But I finish, I + +38 +00:02:32,350 --> 00:02:36,890 +find the first picture of the first lens, my work + +39 +00:02:36,890 --> 00:02:40,470 +with the first lens is done I move to the second + +40 +00:02:40,470 --> 00:02:44,470 +lens to deal with it, to deal with it When I move + +41 +00:02:44,470 --> 00:02:47,430 +to the second lens to deal with it, I forget that + +42 +00:02:47,430 --> 00:02:50,510 +there is a first lens So dealing with each lens + +43 +00:02:50,510 --> 00:02:55,730 +one by oneهذه القضية مهمة للغاية للغاية للغاية So + +44 +00:02:55,730 --> 00:02:59,330 +in paraxial optics, the way to analyze a + +45 +00:02:59,330 --> 00:03:03,490 +combination of lenses is to look at each lens + +46 +00:03:03,490 --> 00:03:08,250 +individually أنه نتطلع أو نتعامل مع كل عدسة على + +47 +00:03:08,250 --> 00:03:13,170 +حده بدون ما .. يعني ندخل شغل العدسات على بعضها + +48 +00:03:13,170 --> 00:03:16,050 +البعض ممكن إنسان يسأل طب ليش هذا الكلام؟ ليش أنا + +49 +00:03:16,050 --> 00:03:21,430 +مضطر أتعامل مع كل عدسة على حده؟الجواب غير في + +50 +00:03:21,430 --> 00:03:25,970 +البساطة، بنقول الان الضوء هيصل للعدسة التانية بعد + +51 +00:03:25,970 --> 00:03:29,170 +ما يكون غادر العدسة الأولى، بعد ما يكون غادر + +52 +00:03:29,170 --> 00:03:32,490 +العدسة الأولى و خلص شغله معاها، يعني الحالة + +53 +00:03:32,490 --> 00:03:36,830 +التشتتية بتاعة الضوء، العدسة الأولى غيرتها و أصبح + +54 +00:03:36,830 --> 00:03:41,630 +له حالة تشتتية جديدة، بعد هيك الضوء هيدخل العدسة + +55 +00:03:41,630 --> 00:03:46,240 +التانيةSo, the first rule of success in dealing + +56 +00:03:46,240 --> 00:03:50,380 +with lens combination or any optical system made + +57 +00:03:50,380 --> 00:03:54,420 +up of several lenses is to look at each lens + +58 +00:03:54,420 --> 00:04:01,040 +individually Okay, now we need .. this rule has + +59 +00:04:01,040 --> 00:04:03,620 +been reached Now there is another thing that I + +60 +00:04:03,620 --> 00:04:07,260 +need to understand that each lens in itself is an + +61 +00:04:07,260 --> 00:04:11,310 +optical systemAnd all of them in their group are + +62 +00:04:11,310 --> 00:04:14,790 +considered as a new optical system Now, as long as + +63 +00:04:14,790 --> 00:04:18,230 +each lens is considered as an optical system It + +64 +00:04:18,230 --> 00:04:21,150 +means that I should look for the image of the + +65 +00:04:21,150 --> 00:04:25,490 +first lens wherever it is in space This image of + +66 +00:04:25,490 --> 00:04:27,910 +the first lens is considered as an object of the + +67 +00:04:27,910 --> 00:04:32,720 +second lensهذا ال object اللي هو صورة العدسة + +68 +00:04:32,720 --> 00:04:35,360 +الأولى اللي اعتبرناه object للعدسة التانية + +69 +00:04:35,360 --> 00:04:39,980 +هيتكونله العدسة التانية صورة هذه الصورة تاعت + +70 +00:04:39,980 --> 00:04:44,520 +العدسة التانية ممكن تعتبر object للعدسة التالتة + +71 +00:04:44,520 --> 00:04:48,440 +إذا في عندي عدسة تالتة و هكذاSo, the first lens + +72 +00:04:48,440 --> 00:04:51,460 +image is the object of the second lens, the second + +73 +00:04:51,460 --> 00:04:54,380 +lens image is the object of the third lens, the + +74 +00:04:54,380 --> 00:04:56,960 +third lens image is the object of the fourth lens, + +75 +00:04:57,520 --> 00:05:00,960 +and so on So, the previous lens image is the + +76 +00:05:00,960 --> 00:05:04,300 +object of the next lens, the previous lens image + +77 +00:05:04,300 --> 00:05:09,180 +is the object of the next lens, the object of the + +78 +00:05:09,180 --> 00:05:12,500 +next lens So, I have two rules, the first rule is + +79 +00:05:12,500 --> 00:05:15,810 +to deal with each lens individuallyand after that + +80 +00:05:15,810 --> 00:05:18,770 +I dealt with each lens one by one I started + +81 +00:05:18,770 --> 00:05:22,030 +dealing with the first lens it showed me a picture + +82 +00:05:22,030 --> 00:05:24,210 +according to its location in space according to + +83 +00:05:24,210 --> 00:05:27,370 +the thin lens equation it showed me a specific + +84 +00:05:27,370 --> 00:05:30,170 +location in space I drew the picture at the + +85 +00:05:30,170 --> 00:05:32,870 +location that showed up according to the thin lens + +86 +00:05:32,870 --> 00:05:35,470 +equation calculations this picture that I drew I + +87 +00:05:35,470 --> 00:05:37,690 +want to consider it an object for the next lens + +88 +00:05:37,690 --> 00:05:42,140 +which is number 2طيب العدسة رقم اتنين حسبنا حسب ال + +89 +00:05:42,140 --> 00:05:46,120 +.. ال thin lens equation طلعتلي صورة هذه الصورة + +90 +00:05:46,120 --> 00:05:49,360 +بتاعة العدسة رقم اتنين بتاعتبرها object للعدسة رقم + +91 +00:05:49,360 --> 00:05:54,040 +تلاتة و هكذا و هكذا اذا the thin lens equation + +92 +00:05:54,040 --> 00:05:58,400 +shows that the first lens produces an image خمسة و + +93 +00:05:58,400 --> 00:06:03,420 +عشرين سانتي behind itself with a magnification of + +94 +00:06:03,420 --> 00:06:06,750 +minus ربيعIn fact, it is necessary to draw this + +95 +00:06:06,750 --> 00:06:20,450 +case, we say as follows We will add a strip We + +96 +00:06:20,450 --> 00:06:25,230 +will try to speed up the drawing a bit We say that + +97 +00:06:25,230 --> 00:06:26,530 +this is the optical axis + +98 +00:06:39,940 --> 00:06:51,700 +This is the first lens which is plus 5 This + +99 +00:06:51,700 --> 00:06:53,500 +is the second lens which is plus 8 + +100 +00:07:18,160 --> 00:07:23,840 +plus 8 diopter the + +101 +00:07:23,840 --> 00:07:29,280 +distance between them is 45 cm distance + +102 +00:07:29,280 --> 00:07:36,720 +between + +103 +00:07:36,720 --> 00:07:40,120 +the first lens and the second lens and I have an + +104 +00:07:40,120 --> 00:07:42,580 +object one meter away from the first lens + +105 +00:07:45,680 --> 00:07:48,620 +The object is one meter away from the first lens. + +106 +00:07:54,460 --> 00:07:57,180 +These objects are clear to me. These objects are + +107 +00:07:57,180 --> 00:08:01,700 +clear to me. One meter away from the first lens. + +108 +00:08:08,040 --> 00:08:11,380 +In fact, I prefer using colors in drawing in lens + +109 +00:08:11,380 --> 00:08:14,820 +combination for beginners, so that there is no + +110 +00:08:14,820 --> 00:08:21,300 +confusion in this matter. Now, to make things + +111 +00:08:21,300 --> 00:08:24,060 +easier, I want to separate the first lens and the + +112 +00:08:24,060 --> 00:08:27,140 +second lens by an imaginary line. This imaginary + +113 +00:08:27,140 --> 00:08:30,920 +line is like saying I have a problem alone. Like I + +114 +00:08:30,920 --> 00:08:31,920 +have a problem alone. + +115 +00:08:35,830 --> 00:08:38,910 +We want to forget this whole area, as if I have + +116 +00:08:38,910 --> 00:08:43,150 +one lens, one lens, in front of it an object, to + +117 +00:08:43,150 --> 00:08:45,210 +its left an object, which is considered in front + +118 +00:08:45,210 --> 00:08:46,670 +of it, at a distance of one meter, the power of + +119 +00:08:46,670 --> 00:08:50,770 +the lens plus five diopters, this distance we want + +120 +00:08:50,770 --> 00:08:52,390 +to consider that it is not forty-five centimeters, + +121 +00:08:52,450 --> 00:08:55,750 +it is extended to infinity. Now, what is required + +122 +00:08:55,750 --> 00:08:59,590 +is that wherever the image of the first lens + +123 +00:08:59,590 --> 00:09:01,710 +falls, we will say as follows + +124 +00:09:12,400 --> 00:09:14,780 +We want to deal with the lens as if I have two + +125 +00:09:14,780 --> 00:09:24,120 +lenses and we say as follows We say + +126 +00:09:24,120 --> 00:09:29,380 +u is equal to negative n over o + +127 +00:09:32,330 --> 00:09:34,850 +Why negative? Because the rays are divergent and + +128 +00:09:34,850 --> 00:09:37,550 +it is equal to negative one. Of course, everything + +129 +00:09:37,550 --> 00:09:42,410 +in the air, the refractive index is one. Negative + +130 +00:09:42,410 --> 00:09:49,030 +one over one meter is equal to negative one over + +131 +00:09:49,030 --> 00:09:51,570 +plus one, which is considered negative one. And + +132 +00:09:51,570 --> 00:09:53,410 +the meter in the station, when it goes up, it + +133 +00:09:53,410 --> 00:09:55,870 +becomes one minus negative one, which is equal to + +134 +00:09:55,870 --> 00:09:56,670 +negative one. + +135 +00:10:00,330 --> 00:10:05,770 +I want to come and write that here on the front + +136 +00:10:05,770 --> 00:10:12,390 +surface of U there is minus 1 and this is U It + +137 +00:10:12,390 --> 00:10:15,250 +is as if the light reaches the front surface of + +138 +00:10:15,250 --> 00:10:17,990 +the lens and it fluctuatesMinus one, this is + +139 +00:10:17,990 --> 00:10:21,070 +better Now, the power of the lens is plus five It + +140 +00:10:21,070 --> 00:10:23,710 +will be released to the front surface And it will + +141 +00:10:23,710 --> 00:10:26,830 +take the front surface the power of plus one from + +142 +00:10:26,830 --> 00:10:30,110 +the plus five And it will remain four This one is + +143 +00:10:30,110 --> 00:10:34,250 +to zero the minus one To reach the V how much it + +144 +00:10:34,250 --> 00:10:45,010 +equals We say U plus P equals V Equals + +145 +00:10:45,010 --> 00:10:53,620 +VU which is minus one diopter plus P which is five + +146 +00:10:53,620 --> 00:10:58,760 +diopters equals + +147 +00:10:58,760 --> 00:11:07,220 +V so V equals minus one diopter plus five diopters + +148 +00:11:07,220 --> 00:11:14,480 +so I have plus four diopters plus four diopters + +149 +00:11:17,530 --> 00:11:25,990 +V تساوي أنشرطة على I، + +150 +00:11:25,990 --> 00:11:32,770 +إذن I + +151 +00:11:32,770 --> 00:11:36,470 +تساوي أنشرطة على V + +152 +00:11:41,320 --> 00:11:44,520 +this is equal to, let's say I'm in the same line, + +153 +00:11:44,660 --> 00:11:49,080 +is equal to one on V, plus four came out with me + +154 +00:11:49,080 --> 00:11:53,640 +quickly I go and put the V here on the back + +155 +00:11:53,640 --> 00:11:59,240 +surface of the lens and say plus four, this is + +156 +00:11:59,240 --> 00:12:02,160 +startedWhy do I put it on the back of the screen? + +157 +00:12:02,300 --> 00:12:04,840 +Because I say that the lens changed the + +158 +00:12:04,840 --> 00:12:08,880 +fluctuation state of the light and after it + +159 +00:12:08,880 --> 00:12:10,600 +finished dealing with the light, the light came + +160 +00:12:10,600 --> 00:12:13,440 +out with a collection or with the power of the + +161 +00:12:13,440 --> 00:12:16,720 +collection plus four, this means that the rays are + +162 +00:12:16,720 --> 00:12:21,700 +convergent, so it is going to form an image. Now a + +163 +00:12:21,700 --> 00:12:24,520 +person can say, okayI mean, why do I intentionally + +164 +00:12:24,520 --> 00:12:28,600 +draw or put the U on the front and the V on the + +165 +00:12:28,600 --> 00:12:32,020 +back? So that when I reach the transference + +166 +00:12:32,020 --> 00:12:34,820 +magnification, which is equal to U over V, I don't + +167 +00:12:34,820 --> 00:12:38,740 +get involved in many of these numbers, and it can + +168 +00:12:38,740 --> 00:12:45,070 +happen that ..Mixing between numbers, so the U + +169 +00:12:45,070 --> 00:12:47,410 +will be placed on the front surface and the V will + +170 +00:12:47,410 --> 00:12:50,430 +be placed on the back surface So I is equal to + +171 +00:12:50,430 --> 00:12:54,810 +unconditional on V, which is 1 on V which is plus + +172 +00:12:54,810 --> 00:13:01,270 +4 diopter and + +173 +00:13:01,270 --> 00:13:08,250 +it is equal to 1 on 4 plus 1 or 1 on plus 4 plus + +174 +00:13:08,250 --> 00:13:08,630 +quarter + +175 +00:13:12,480 --> 00:13:16,260 +والديوبتر اللي هو متر أصناقس واحد لما بيسير في ال + +176 +00:13:16,260 --> 00:13:22,560 +bus أو بيطلع من المقام بيسير متر أصناقس واحد و لما + +177 +00:13:22,560 --> 00:13:26,740 +بيطلع بيسير متر بيسير متر الديوبتر هو عبارة عن متر + +178 +00:13:26,740 --> 00:13:30,000 +أصناقس واحد موجود في المقام لما بطلع و بيسير متر + +179 +00:13:30,000 --> 00:13:34,620 +إذا الصورة بتاعة العدسة الأولىOn a distance of a + +180 +00:13:34,620 --> 00:13:38,360 +meter, excuse me, on a distance of a quarter of a + +181 +00:13:38,360 --> 00:13:41,000 +meter from the lens on its right, because the + +182 +00:13:41,000 --> 00:13:43,880 +distance to the plus is the distance to the right + +183 +00:13:43,880 --> 00:13:47,080 +of the lens. Any lens in them, we remember + +184 +00:13:47,080 --> 00:13:49,540 +completely, we are now working with the first + +185 +00:13:49,540 --> 00:13:51,500 +lens, we did not completely put the thick white + +186 +00:13:51,500 --> 00:13:55,840 +line here to forget this lens, to forget this + +187 +00:13:55,840 --> 00:14:01,530 +lens. NowWe need to consider, or derive a meaning + +188 +00:14:01,530 --> 00:14:04,850 +according to the thin lens equation, that the + +189 +00:14:04,850 --> 00:14:07,910 +first lens gives me a picture on its right, on its + +190 +00:14:07,910 --> 00:14:10,530 +right, at a distance of a quarter of a meter, a + +191 +00:14:10,530 --> 00:14:13,030 +quarter of a meter is twenty-five centimeters The + +192 +00:14:13,030 --> 00:14:15,490 +distance between the two lenses is forty-five + +193 +00:14:15,490 --> 00:14:24,350 +centimeters, so I will have the picture at + +194 +00:14:24,350 --> 00:14:28,640 +a distance of twenty-five centimetersfrom the lens + +195 +00:14:28,640 --> 00:14:52,800 +this + +196 +00:14:52,800 --> 00:14:55,360 +is the first picture that I made + +197 +00:15:00,380 --> 00:15:04,980 +the lens this is the first image that was created + +198 +00:15:04,980 --> 00:15:07,620 +by the lens did we finish our work with the first + +199 +00:15:07,620 --> 00:15:10,660 +lens? of course we didn't finish our work with the + +200 +00:15:10,660 --> 00:15:13,140 +first lens we want to calculate for transfers + +201 +00:15:13,140 --> 00:15:15,880 +magnification for transfers magnification but + +202 +00:15:15,880 --> 00:15:20,660 +first we want to put the distance hypelon this is + +203 +00:15:20,660 --> 00:15:25,700 +the distance of the image we + +204 +00:15:25,700 --> 00:15:27,280 +say as follows for transfers + +205 +00:15:37,400 --> 00:15:46,020 +Magnification is equal to U over V is + +206 +00:15:46,020 --> 00:15:56,360 +equal to U minus one diopter over V plus four + +207 +00:15:56,360 --> 00:16:02,990 +diopters plus four diopters is equal toPlus over + +208 +00:16:02,990 --> 00:16:06,230 +minus, of course X, the X sign is necessary Minus + +209 +00:16:06,230 --> 00:16:10,510 +over plus, it becomes minus One over four, which + +210 +00:16:10,510 --> 00:16:15,510 +is a quarter Minus a quarter X minus a quarter, + +211 +00:16:15,650 --> 00:16:17,530 +and the diopter goes with the diopter, so the + +212 +00:16:17,530 --> 00:16:22,050 +picture is upside down + +213 +00:16:22,050 --> 00:16:26,990 +The + +214 +00:16:26,990 --> 00:16:31,490 +picture is upside downوربع ال object فى الارتفاع + +215 +00:16:31,490 --> 00:16:32,170 +وربع ال object فى الارتفاع and a quarter of the + +216 +00:16:32,170 --> 00:16:34,130 +object in height يعنى لو فرضنا ال object ارتفاعه + +217 +00:16:34,130 --> 00:16:35,910 +عشرة صنطة if we suppose the object is 10 cm high + +218 +00:16:35,910 --> 00:16:42,670 +if we suppose the object is 10 cm high it will be + +219 +00:16:42,670 --> 00:16:47,790 +2.5 cm high 2.5 cm because it is a quarter of the + +220 +00:16:47,790 --> 00:16:49,530 +object in height because it is a quarter of the + +221 +00:16:49,530 --> 00:16:50,430 +object in height + +222 +00:16:58,050 --> 00:17:05,910 +2.5 cm which is + +223 +00:17:05,910 --> 00:17:11,850 +the height of the image Now, to finish this topic, + +224 +00:17:11,930 --> 00:17:14,230 +we say that the distance from the lens to the + +225 +00:17:14,230 --> 00:17:18,010 +image is 25 cm + +226 +00:17:33,030 --> 00:17:35,690 +Here, the height of the object and the image is + +227 +00:17:35,690 --> 00:17:42,750 +different from + +228 +00:17:42,750 --> 00:17:45,130 +the distance. This is the height. The one with the + +229 +00:17:45,130 --> 00:17:48,170 +yellow color is the height. Now, my work is + +230 +00:17:48,170 --> 00:17:52,350 +completely done with the first lens. I brought a + +231 +00:17:52,350 --> 00:17:54,510 +picture at a distance of how much? And I brought + +232 +00:17:54,510 --> 00:17:56,450 +the magnification, the magnification of the first + +233 +00:17:56,450 --> 00:18:00,650 +image for the object. Now, I want to remove this + +234 +00:18:00,650 --> 00:18:07,690 +line from this side.the work is done this is a + +235 +00:18:07,690 --> 00:18:10,430 +lens, where is the object? we said that the first + +236 +00:18:10,430 --> 00:18:14,770 +image of the lens is this object for the second + +237 +00:18:14,770 --> 00:18:18,930 +lens object for the second lens, so this object + +238 +00:18:18,930 --> 00:18:21,810 +needs to calculate its distance in the first one + +239 +00:18:22,440 --> 00:18:24,300 +How do I know the distance of the object? We say + +240 +00:18:24,300 --> 00:18:27,140 +that the distance between the two lenses is 45 cm + +241 +00:18:27,140 --> 00:18:31,120 +and the image is 25 cm away from the first lens, + +242 +00:18:31,180 --> 00:18:35,520 +so it remains from the 45, 45 minus, we took 25 + +243 +00:18:35,520 --> 00:18:41,900 +from them, I still have 20 cm, so this + +244 +00:18:41,900 --> 00:18:44,660 +distance is 25 cm + +245 +00:18:54,880 --> 00:18:56,960 +Where is the object? Where is the object of the + +246 +00:18:56,960 --> 00:19:01,940 +second lens? The object of the second lens is the + +247 +00:19:01,940 --> 00:19:03,800 +image of the first lens, which is this one that + +248 +00:19:03,800 --> 00:19:06,640 +I'm pointing at The first lens constitutes an + +249 +00:19:06,640 --> 00:19:08,340 +image. This image is considered to be the object + +250 +00:19:08,340 --> 00:19:10,820 +of the second lens The object of the second lens + +251 +00:19:10,820 --> 00:19:16,720 +is 20 cm away from the second lens. Where did you + +252 +00:19:16,720 --> 00:19:20,300 +get 20 cm? Where did you know 20 cm? We said in + +253 +00:19:20,300 --> 00:19:22,820 +the example given that the total distance between + +254 +00:19:22,820 --> 00:19:27,200 +the two lenses is 45 cmBut the first lens formed a + +255 +00:19:27,200 --> 00:19:29,280 +picture on its right at a distance of twenty-five + +256 +00:19:29,280 --> 00:19:32,820 +centimeters This picture is twenty-five + +257 +00:19:32,820 --> 00:19:36,480 +centimeters away from the first lens and twenty + +258 +00:19:36,480 --> 00:19:38,820 +centimeters away from the second lens which is + +259 +00:19:38,820 --> 00:19:40,900 +forty-five centimeters The total distance between + +260 +00:19:40,900 --> 00:19:43,440 +the two lenses is minus twenty-five centimeters + +261 +00:19:43,440 --> 00:19:47,240 +The distance of the first image from the first + +262 +00:19:47,240 --> 00:19:50,150 +lens remains twenty centimeters this distanceThis + +263 +00:19:50,150 --> 00:19:53,330 +first picture, picture number one, which is of the + +264 +00:19:53,330 --> 00:19:56,790 +first lens, is considered a body .. is considered + +265 +00:19:56,790 --> 00:20:00,410 +a body of the second lens Okay, now we want to + +266 +00:20:00,410 --> 00:20:05,350 +start the solution .. + +267 +00:20:05,350 --> 00:20:09,890 +in + +268 +00:20:09,890 --> 00:20:13,490 +the same way that we did the solution with the + +269 +00:20:13,490 --> 00:20:14,730 +lens .. + +270 +00:20:20,700 --> 00:20:29,740 +بنقول U تساوي ناقص N على O و + +271 +00:20:29,740 --> 00:20:30,380 +يساوي + +272 +00:20:33,440 --> 00:20:37,280 +minus 1 over O which is the distance of the object + +273 +00:20:37,280 --> 00:20:40,520 +any object that we finish with this from the white + +274 +00:20:40,520 --> 00:20:43,640 +line and left we forget it completely we deal with + +275 +00:20:43,640 --> 00:20:48,780 +each lens one by one minus N over O which is the + +276 +00:20:48,780 --> 00:20:51,220 +object of the second lens which is this picture + +277 +00:20:51,220 --> 00:20:53,060 +this picture now I want to consider it as an + +278 +00:20:53,060 --> 00:20:56,640 +object minus 1 over 20 centimeters which is 2 out + +279 +00:20:56,640 --> 00:21:04,260 +of 10 meters and equalsMinus one out of two from + +280 +00:21:04,260 --> 00:21:08,740 +ten to five, that's better Meter in the station, + +281 +00:21:08,840 --> 00:21:11,040 +when it goes up, it becomes meter minus one, + +282 +00:21:11,040 --> 00:21:16,860 +that's better Quickly, I go and put on the front + +283 +00:21:16,860 --> 00:21:20,480 +surface of the lens, the U, which is the latitude + +284 +00:21:20,480 --> 00:21:23,860 +that the light reaches Minus five, that's better + +285 +00:21:23,860 --> 00:21:27,580 +On the front surface of the lens + +286 +00:21:32,560 --> 00:21:34,760 +We continue, we say that the intensity of the lens + +287 +00:21:34,760 --> 00:21:41,640 +is 8, we calculate the V, it will go from 8 to 5 + +288 +00:21:41,640 --> 00:21:44,480 +to cancel the oscillation, and it will stay with + +289 +00:21:44,480 --> 00:21:49,180 +it after losing 5 to 2, it will stay with it 3. + +290 +00:21:49,340 --> 00:21:58,860 +Look at this case, we say U plus P equals V equals + +291 +00:21:58,860 --> 00:22:02,100 +V. Okay, okay, now + +292 +00:22:04,790 --> 00:22:13,810 +u minus 5 diopters plus 8 diopters equals + +293 +00:22:13,810 --> 00:22:14,570 +v, + +294 +00:22:17,270 --> 00:22:24,410 +so v equals plus 3 diopters + +295 +00:22:26,760 --> 00:22:30,820 +Quickly, I'll go again and write on the back of + +296 +00:22:30,820 --> 00:22:33,560 +the screen that the divergent case of the light + +297 +00:22:33,560 --> 00:22:37,620 +after leaving is plus three diopters because the + +298 +00:22:37,620 --> 00:22:40,660 +light's divergent case reached a divergent + +299 +00:22:40,660 --> 00:22:44,360 +divergent of five diopters and turned out to be a + +300 +00:22:44,360 --> 00:22:47,540 +convergent of three diopters. That is, it is as if + +301 +00:22:47,540 --> 00:22:49,900 +the lens, which has a force of plus eight, turned + +302 +00:22:49,900 --> 00:22:53,340 +from minus five divergent to plus three + +303 +00:22:53,340 --> 00:22:56,100 +convergent. To plus three convergent. So + +304 +00:22:58,990 --> 00:23:00,910 +I see where this picture is going to form, the + +305 +00:23:00,910 --> 00:23:02,810 +final picture, which is the picture of the second + +306 +00:23:02,810 --> 00:23:05,650 +lens, which is V is equal to the condition on I + +307 +00:23:05,650 --> 00:23:10,750 +then + +308 +00:23:10,750 --> 00:23:15,950 +I + +309 +00:23:15,950 --> 00:23:18,770 +is equal to the condition on V, I change the place + +310 +00:23:18,770 --> 00:23:24,530 +of each other and it is equal to the condition one + +311 +00:23:24,530 --> 00:23:28,050 +on the V we got plus three, this is positive + +312 +00:23:34,330 --> 00:23:42,410 +وهي ساوى واحد ع plus تلاتة plus تلت متر plus تلت + +313 +00:23:42,410 --> 00:23:48,010 +او تلاتة و تلاتين صنطة تقريبا تلت متر plus تلاتة و + +314 +00:23:48,010 --> 00:23:49,490 +تلاتين من مية متر + +315 +00:23:52,200 --> 00:23:54,640 +The meter from where you got the diopter is meter + +316 +00:23:54,640 --> 00:23:57,320 +plus minus one. It is present in the position when + +317 +00:23:57,320 --> 00:23:59,940 +it goes up, it becomes a meter. It becomes a + +318 +00:23:59,940 --> 00:24:03,800 +meter. So plus 33 out of 100 meters. + +319 +00:24:07,120 --> 00:24:12,320 +Plus 33, yes, 33 out of 100 meters. This picture + +320 +00:24:13,430 --> 00:24:15,110 +What does plus mean? It means the length of the + +321 +00:24:15,110 --> 00:24:19,790 +lens, which is 33 + +322 +00:24:19,790 --> 00:24:24,570 +cm. Of course, the distances of the image, the + +323 +00:24:24,570 --> 00:24:26,550 +first picture and the second picture, I write them + +324 +00:24:26,550 --> 00:24:30,630 +in red so that I don't get confused. So, the + +325 +00:24:30,630 --> 00:24:36,650 +second picture should be 33 cm away from the ... + +326 +00:24:39,560 --> 00:24:42,980 +from the lens that made it up from the lens that + +327 +00:24:42,980 --> 00:24:45,240 +made it up okay we say the transference + +328 +00:24:45,240 --> 00:24:54,840 +magnification the + +329 +00:24:54,840 --> 00:25:00,080 +transference magnification is equal to u over v + +330 +00:25:00,080 --> 00:25:03,400 +and + +331 +00:25:03,400 --> 00:25:05,520 +it is equal to I take out the drawing directly the + +332 +00:25:05,520 --> 00:25:06,880 +u minus five this is greater than + +333 +00:25:11,140 --> 00:25:11,860 +transference magnification x minus transference + +334 +00:25:11,860 --> 00:25:18,460 +magnification y minus + +335 +00:25:18,460 --> 00:25:21,540 +transference magnification y minus transference + +336 +00:25:21,540 --> 00:25:25,860 +magnification x minus transference magnification y + +337 +00:25:25,860 --> 00:25:28,500 +minus transference magnification x minus + +338 +00:25:28,500 --> 00:25:29,820 +transference magnification y minus transference + +339 +00:25:29,820 --> 00:25:30,260 +magnification x minus transference magnification y + +340 +00:25:30,260 --> 00:25:31,060 +minus transference magnification x minus + +341 +00:25:31,060 --> 00:25:31,520 +transference magnification y minus transference + +342 +00:25:31,520 --> 00:25:32,440 +magnification x minus transference magnification x + +343 +00:25:32,440 --> 00:25:32,940 +minus transference magnification x minus + +344 +00:25:32,940 --> 00:25:33,420 +transference magnification x minus transference + +345 +00:25:33,420 --> 00:25:35,840 +magnification x minus transference magnification x + +346 +00:25:35,840 --> 00:25:35,840 +minus transference magnification x minus + +347 +00:25:35,840 --> 00:25:35,840 +transference magnification x minus transference + +348 +00:25:35,840 --> 00:25:36,200 +magnification x minus transference magnification x + +349 +00:25:36,200 --> 00:25:36,500 +minus transference magnification x minus + +350 +00:25:36,500 --> 00:25:36,500 +transference magnification x minus transference + +351 +00:25:36,500 --> 00:25:36,520 +magnification x minus transference magnification x + +352 +00:25:36,520 --> 00:25:36,560 +minus transference magnification x minus + +353 +00:25:36,560 --> 00:25:36,560 +transference magnification x minus transference + +354 +00:25:36,560 --> 00:25:36,560 +magnification x minus transference magnification x + +355 +00:25:36,560 --> 00:25:36,560 +minus transference magnification x minus + +356 +00:25:36,560 --> 00:25:36,780 +transference magnification x minus transference + +357 +00:25:36,780 --> 00:25:36,940 +magnification x minus transference magnification x + +358 +00:25:36,940 --> 00:25:36,940 +minus transference magnification x minus + +359 +00:25:36,940 --> 00:25:36,940 +transference magnification x minus transference + +360 +00:25:36,940 --> 00:25:39,300 +magnification x minus transference magnification x + +361 +00:25:39,300 --> 00:25:45,060 +minus transferenceminus 61% diopter What does it + +362 +00:25:45,060 --> 00:25:47,920 +mean that the image is upside down? The image is + +363 +00:25:47,920 --> 00:25:49,340 +upside down Can a person say that it is upside + +364 +00:25:49,340 --> 00:25:52,920 +down? That's it, it is below the optical axis + +365 +00:25:52,920 --> 00:25:56,120 +Here, here we say to those who say that the image + +366 +00:25:56,120 --> 00:25:58,440 +is below the optical axis You started to mix + +367 +00:25:58,440 --> 00:26:02,970 +between the two lenses This lensمالناش فيها. هذا + +368 +00:26:02,970 --> 00:26:06,410 +الجزء من المسألة خلص وانتهى زمانه. الان احنا + +369 +00:26:06,410 --> 00:26:10,070 +بنتعامل مع هذا الجزء من المسألة الصورة مجلوبة، + +370 +00:26:10,070 --> 00:26:13,750 +ممتاز جدا، متفقين ان الصورة مجلوبة، بالنسبة لمين؟ + +371 +00:26:13,750 --> 00:26:17,270 +بالنسبة لل object بتاعها، طب وين ال object بتاعها؟ + +372 +00:26:17,270 --> 00:26:20,850 +ال object بتاعها تحت ال optical axisunder the + +373 +00:26:20,850 --> 00:26:23,610 +optical axis as long as it's under the optical + +374 +00:26:23,610 --> 00:26:26,330 +axis and it's upside down for it, then it's upside + +375 +00:26:26,330 --> 00:26:29,090 +down, upside down, straight up upside down, upside + +376 +00:26:29,090 --> 00:26:35,070 +down, straight up, so it's 33 cm away from the + +377 +00:26:35,070 --> 00:26:38,610 +other lens to the right of the other lens, so it + +378 +00:26:38,610 --> 00:26:43,710 +will be above the optical axis with a distance of + +379 +00:26:43,710 --> 00:26:50,080 +33 cm, 33 cmand one and two-thirds bigger than its + +380 +00:26:50,080 --> 00:26:58,520 +object one and two-thirds bigger than its object + +381 +00:26:58,520 --> 00:27:03,620 +So, it is inverted with respect to its object with + +382 +00:27:03,620 --> 00:27:07,880 +respect to its object So, now we want to say as + +383 +00:27:07,880 --> 00:27:12,210 +followsNow, the second part of the question is not + +384 +00:27:12,210 --> 00:27:14,510 +finished yet The last part of the question, of + +385 +00:27:14,510 --> 00:27:16,350 +course, we put here that the distance is thirty + +386 +00:27:16,350 --> 00:27:21,390 +-three centimeters, a third of a meter The + +387 +00:27:21,390 --> 00:27:24,830 +distance is thirty-three centimeters, which is a + +388 +00:27:24,830 --> 00:27:26,890 +third of a meter The distance between the second + +389 +00:27:26,890 --> 00:27:31,330 +image, which is the final image, and the lens that + +390 +00:27:31,330 --> 00:27:34,610 +formed it This is the final image Now we calculate + +391 +00:27:34,610 --> 00:27:37,130 +the total transfers magnification + +392 +00:27:52,870 --> 00:27:59,790 +Total Transfers Magnification + +393 +00:27:59,790 --> 00:28:05,370 +Total Transfers Magnification Total Transfers + +394 +00:28:05,370 --> 00:28:10,550 +Magnification Total Transfers Magnification Total + +395 +00:28:10,550 --> 00:28:15,410 +Transfers + +396 +00:28:15,410 --> 00:28:19,510 +Magnification Total Transfers Magnification + +397 +00:28:26,080 --> 00:28:30,400 +multiply by minus + +398 +00:28:30,400 --> 00:28:35,480 +one point sixty six percent which is equal to + +399 +00:28:35,480 --> 00:28:51,340 +let's go to the computer let's + +400 +00:28:51,340 --> 00:29:01,420 +say quarter multiply byone point sixty-six one + +401 +00:29:01,420 --> 00:29:03,580 +point sixty-six one point sixty-six one point + +402 +00:29:03,580 --> 00:29:04,480 +sixty-six one point sixty-six one point sixty-six + +403 +00:29:04,480 --> 00:29:04,520 +one point sixty-six one point sixty-six one point + +404 +00:29:04,520 --> 00:29:04,520 +sixty-six one point sixty-six one point sixty-six + +405 +00:29:04,520 --> 00:29:04,520 +one point sixty-six one point sixty-six one point + +406 +00:29:04,520 --> 00:29:04,540 +sixty-six one point sixty-six one point sixty-six + +407 +00:29:04,540 --> 00:29:04,540 +one point sixty-six one point sixty-six one point + +408 +00:29:04,540 --> 00:29:04,540 +sixty-six one point sixty-six one point sixty-six + +409 +00:29:04,540 --> 00:29:04,640 +one point sixty-six one point sixty-six one point + +410 +00:29:04,640 --> 00:29:05,200 +sixty-six one point sixty-six one point sixty-six + +411 +00:29:05,200 --> 00:29:05,740 +one point sixty-six one point sixty-six one point + +412 +00:29:05,740 --> 00:29:05,740 +sixty-six one point sixty-six one point sixty-six + +413 +00:29:05,740 --> 00:29:07,240 +one point sixty-six one point sixty-six one point + +414 +00:29:07,240 --> 00:29:08,000 +sixty-six one point sixty-six one point sixty-six + +415 +00:29:08,000 --> 00:29:08,000 +one point sixty-six one point sixty-six one point + +416 +00:29:08,000 --> 00:29:10,340 +sixty-six one point sixty-six one point sixty-six + +417 +00:29:10,340 --> 00:29:13,160 +one point sixty-six one point sixty-six one point + +418 +00:29:13,160 --> 00:29:21,410 +sixty-six one point sixty-and approximately 4 + +419 +00:29:21,410 --> 00:29:27,450 +out of 10 x 4 out of 10 x plus 4 out of 10 now + +420 +00:29:27,450 --> 00:29:42,690 +this I want to make it bigger and + +421 +00:29:42,690 --> 00:29:45,470 +color it with another color completely different + +422 +00:29:54,520 --> 00:29:58,500 +What does X mean? Or the total transfer + +423 +00:29:58,500 --> 00:30:03,020 +magnification X plus four out of ten We say as + +424 +00:30:03,020 --> 00:30:06,920 +follows Total transfer magnification means how + +425 +00:30:06,920 --> 00:30:11,000 +much the final image is magnified compared to the + +426 +00:30:11,000 --> 00:30:14,080 +original first object TM1 is the magnification of + +427 +00:30:14,080 --> 00:30:20,360 +the first image compared to its object TM2 is the + +428 +00:30:20,360 --> 00:30:22,020 +magnification of the second image compared to its + +429 +00:30:22,020 --> 00:30:27,460 +objectTM Total Transverse Magnification Total يعني + +430 +00:30:27,460 --> 00:30:32,020 +قداش تكبير تكبير الصورة النهائية بالنسبة للجسم + +431 +00:30:32,020 --> 00:30:36,080 +الأول تقريبا بتطلع أربعة من عشرة منه قولنا ارتفاعه + +432 +00:30:36,080 --> 00:30:39,800 +عشرة سانتي طبعا plus يعني الصورة معتادلة الصورة + +433 +00:30:39,800 --> 00:30:42,900 +النهائية في ال total magnification الصورة النهائية + +434 +00:30:42,900 --> 00:30:46,620 +معتادلة بالنسبة لل object الأصلي هو فوق ال optical + +435 +00:30:46,620 --> 00:30:50,300 +axis و هي فوق ال optical axis ارتفاعها تقريبا + +436 +00:30:50,300 --> 00:30:54,020 +أربعة من عشرة من ارتفاع ال object الأصليواحنا قلنا + +437 +00:30:54,020 --> 00:30:56,960 +ال object الاصلي فرضناه عشرة سانتي فهي هتكون + +438 +00:30:56,960 --> 00:31:01,320 +ارتفاعها أربع سانتي تقريبا، أربع سانتي تقريبا + +439 +00:31:16,260 --> 00:31:19,420 +This is how the whole problem ended with us + +440 +00:31:19,420 --> 00:31:23,040 +dealing with each lens one by one and now I + +441 +00:31:23,040 --> 00:31:26,540 +separate the line or delete the line that exists + +442 +00:31:26,540 --> 00:31:32,520 +between the two lenses. This is dealing with the + +443 +00:31:32,520 --> 00:31:36,270 +lens combination.notice that some people say the + +444 +00:31:36,270 --> 00:31:38,270 +total magnification or the first transference + +445 +00:31:38,270 --> 00:31:40,790 +magnification and the second transference + +446 +00:31:40,790 --> 00:31:43,370 +magnification should be combined, of course this + +447 +00:31:43,370 --> 00:31:47,610 +is a very big mistake, why? because we exaggerated + +448 +00:31:47,610 --> 00:31:50,590 +somethingor we make it smaller and it has a + +449 +00:31:50,590 --> 00:31:53,170 +certain size, from this certain size, we enlarge + +450 +00:31:53,170 --> 00:32:01,190 +it again, enlarge it again, so it will be almost + +451 +00:32:01,190 --> 00:32:06,830 +necessary to hit it, not to put togetherThe total + +452 +00:32:06,830 --> 00:32:11,150 +transphase magnification is equal to Tm1 + +453 +00:32:11,150 --> 00:32:13,850 +multiplied by Tm2 multiplied by Tm3 This is the + +454 +00:32:13,850 --> 00:32:17,150 +end of the lecture. God bless you all. And we + +455 +00:32:17,150 --> 00:32:21,770 +remind you that there will be several training + +456 +00:32:21,770 --> 00:32:23,790 +sessions on this topic in our training sessions. + +457 +00:32:24,110 --> 00:32:27,090 +God bless you all and peace be upon you all. + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/9hRg88pXUZ4_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/9hRg88pXUZ4_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..9f76877bb15634bcf999c51997d83c2d4c9b2e88 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/9hRg88pXUZ4_postprocess.srt @@ -0,0 +1,348 @@ +1 +00:00:04,580 --> 00:00:08,900 +السؤال بيقول قارن بين ال optical path lengths من A + +2 +00:00:08,900 --> 00:00:14,730 +ل B رحلة الضوء من A؟ with the optical path length + +3 +00:00:14,730 --> 00:00:18,210 +in the other from C to D, that is, who among them + +4 +00:00:18,210 --> 00:00:19,810 +is the largest? Of course, it is clear that they + +5 +00:00:19,810 --> 00:00:23,750 +counted in a lot of materials, the path from A to + +6 +00:00:23,750 --> 00:00:26,810 +B, the light went one meter and two out of ten in + +7 +00:00:26,810 --> 00:00:29,090 +the air, this is the refractive index, then one + +8 +00:00:29,090 --> 00:00:31,090 +meter in water, this is the refractive index, then + +9 +00:00:31,090 --> 00:00:33,730 +one meter in glass, half a meter, excuse me, in + +10 +00:00:33,730 --> 00:00:35,850 +glass, which is one and a half refractive index, + +11 +00:00:35,950 --> 00:00:39,550 +then three meters in the air to reach B. The real + +12 +00:00:39,550 --> 00:00:43,540 +distance is a set of these Not the optical path + +13 +00:00:43,540 --> 00:00:46,540 +length, but the actual distance which is 1.2 plus + +14 +00:00:46,540 --> 00:00:51,720 +1 plus 1.5 plus 3 which gives me 5.7 meters that + +15 +00:00:51,720 --> 00:00:54,080 +the light passed through to calculate the optical + +16 +00:00:54,080 --> 00:00:58,780 +path length And the actual distance that the other + +17 +00:00:58,780 --> 00:01:00,940 +light passed through from C to D is 1 meter in the + +18 +00:01:00,940 --> 00:01:03,000 +air, of course this is the refractive index, half + +19 +00:01:03,000 --> 00:01:06,820 +a meter in the water, 7.10 meters in the glass, 1 + +20 +00:01:06,820 --> 00:01:10,460 +.5 refractive index, then 2.5 meters in the air, + +21 +00:01:10,640 --> 00:01:13,130 +which is 1 refractive index We will calculate the + +22 +00:01:13,130 --> 00:01:17,910 +optical path length first Optical path length from + +23 +00:01:17,910 --> 00:01:22,850 +A to B is equal to each distance multiplied by the + +24 +00:01:22,850 --> 00:01:26,910 +refractive index 1 minus 1.2 meters divided by 1 + +25 +00:01:26,910 --> 00:01:31,730 +is equal to 1.2 meters We will write it as 1 plus + +26 +00:01:31,730 --> 00:01:40,510 +1 meter multiplied by 1.3 meters plus half a meter + +27 +00:01:44,160 --> 00:01:52,500 +dark one and a half plus three meters in one and + +28 +00:01:52,500 --> 00:01:57,500 +it equals one and two out of ten meters in one + +29 +00:01:57,500 --> 00:02:01,580 +remains as it is plus one in one and three out of + +30 +00:02:01,580 --> 00:02:04,920 +ten becomes one and three out of ten meters plus + +31 +00:02:04,920 --> 00:02:09,380 +five out of ten in one and a half means five in + +32 +00:02:09,380 --> 00:02:17,650 +eighteen out of seventy-fiveمن 100 متر زائد تلاتة + +33 +00:02:17,650 --> 00:02:24,750 +متر في واحد تلاتة متر ويساوي اذا واحد واتنين من + +34 +00:02:24,750 --> 00:02:32,670 +عشرة متر وواحد وتلاتة من عشرة متر وخمسة وسبعين من + +35 +00:02:32,670 --> 00:02:33,490 +مية متر + +36 +00:02:47,110 --> 00:02:55,610 +The total is 5 here 5 and 7 is 12 3 and 3 is 6 So + +37 +00:02:55,610 --> 00:02:58,270 +6 and a quarter meters The first optical path + +38 +00:02:58,270 --> 00:03:01,590 +length is 6 and a quarter meters We will put it in + +39 +00:03:01,590 --> 00:03:04,790 +a box to distinguish it Now the second optical + +40 +00:03:04,790 --> 00:03:12,290 +path length We will calculate it In shape or blue + +41 +00:03:12,290 --> 00:03:19,920 +color Optical Path length which is from C to D is + +42 +00:03:19,920 --> 00:03:23,760 +equal to 1 meter in the air multiplied by the + +43 +00:03:23,760 --> 00:03:28,020 +refractive index of the air plus half a meter in + +44 +00:03:28,020 --> 00:03:33,240 +the water multiplied + +45 +00:03:33,240 --> 00:03:36,980 +by 1.3 which is the refractive index of water plus + +46 +00:03:36,980 --> 00:03:45,560 +7.10 meters in the glass multiplied by 1.5plus two + +47 +00:03:45,560 --> 00:03:50,960 +and a half meters two and a half meters in the + +48 +00:03:50,960 --> 00:03:54,200 +air, that is, it will be multiplied by one and + +49 +00:03:54,200 --> 00:04:01,700 +equals one in one in one meter plus five in + +50 +00:04:01,700 --> 00:04:05,820 +thirteen in sixty-five, that is, sixty-five out of + +51 +00:04:05,820 --> 00:04:09,940 +one hundred meters plus + +52 +00:04:14,470 --> 00:04:22,630 +7x15, 7x10x70, 7x5x5x5x5x5x5x5, 105, 1, 5 out of + +53 +00:04:22,630 --> 00:04:28,140 +100 metersWe multiply 7 by 10 which is equal to 70 + +54 +00:04:28,140 --> 00:04:30,820 +and 7 by 5 which is equal to 35 which is equal to + +55 +00:04:30,820 --> 00:04:34,640 +70 and 35 which is equal to 105 And I want to + +56 +00:04:34,640 --> 00:04:36,200 +subtract after two decimal places which is equal + +57 +00:04:36,200 --> 00:04:41,220 +to one point zero five meters and two and a half + +58 +00:04:41,220 --> 00:04:43,220 +meters multiplied by one which is equal to two and + +59 +00:04:43,220 --> 00:04:46,260 +a half meters We will add them all together and + +60 +00:04:46,260 --> 00:04:50,520 +say one meter plus + +61 +00:04:50,520 --> 00:04:53,600 +sixty-five of one hundred meters + +62 +00:04:56,660 --> 00:05:01,840 +plus one point five + +63 +00:05:01,840 --> 00:05:06,320 +hundred meters plus two and a half meters plus two + +64 +00:05:06,320 --> 00:05:13,520 +and a half meters five and five is ten one and + +65 +00:05:13,520 --> 00:05:19,060 +five is six and six is twelve one two three and + +66 +00:05:19,060 --> 00:05:23,280 +two five meters so five meters and two is eight + +67 +00:05:32,490 --> 00:05:36,230 +to B and C to D, we want to say that A to B is + +68 +00:05:36,230 --> 00:05:38,260 +equal to B to C. This distance, which is A to B, + +69 +00:05:38,740 --> 00:05:41,140 +the light did not really cut it And the actual + +70 +00:05:41,140 --> 00:05:45,860 +distance was 5.7 meters in different materials But + +71 +00:05:45,860 --> 00:05:50,100 +if you leave the light to fly in the air It was in + +72 +00:05:50,100 --> 00:05:53,940 +the same period that it cut in these materials 5.7 + +73 +00:05:53,940 --> 00:05:58,500 +meters If it stayed in the air only, it would have + +74 +00:05:58,500 --> 00:06:02,870 +cut 6.25 meters at the same time The second issue + +75 +00:06:02,870 --> 00:06:05,770 +or the second part of the issue, lighting actually + +76 +00:06:05,770 --> 00:06:08,710 +when it starts from C to D, it cuts a distance of + +77 +00:06:08,710 --> 00:06:13,390 +4.7 meters at a certain time. At this particular + +78 +00:06:13,390 --> 00:06:15,570 +time, if you leave the light to start in the air, + +79 +00:06:16,030 --> 00:06:19,290 +not in these materials, instead of cutting 4.7 + +80 +00:06:19,290 --> 00:06:24,850 +meters, if it was in the air, it would cut 5.2 + +81 +00:06:24,850 --> 00:06:28,240 +meters at the same time.So this issue is the + +82 +00:06:28,240 --> 00:06:31,860 +optical path length Now based on the result that + +83 +00:06:31,860 --> 00:06:34,880 +came out of our eyes, the first optical path + +84 +00:06:34,880 --> 00:06:39,640 +length is longer than the second optical path + +85 +00:06:39,640 --> 00:06:42,520 +length Because this is six and a quarter meters + +86 +00:06:42,520 --> 00:06:45,260 +and this is five and two tenths of a meter And may + +87 +00:06:45,260 --> 00:06:48,500 +God give you health and peace, mercy and blessings + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/E4SfMpVuLYk.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/E4SfMpVuLYk.srt new file mode 100644 index 0000000000000000000000000000000000000000..47c64d635d8bd200234ddb82a61b77bd0479ef6f --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/E4SfMpVuLYk.srt @@ -0,0 +1,91 @@ +1 +00:00:04,910 --> 00:00:05,810 +In the name of God, Most Gracious, Most Merciful. + +2 +00:00:06,450 --> 00:00:10,690 +We have an example. The object on the left, but we + +3 +00:00:10,690 --> 00:00:15,230 +still don't know if it is above or below the + +4 +00:00:15,230 --> 00:00:19,730 +optical axis. The image below the optical axis is + +5 +00:00:19,730 --> 00:00:25,310 +15 cm high. The transverse magnification is X + +6 +00:00:25,310 --> 00:00:30,770 +minus 3. What is the object height? What is the + +7 +00:00:30,770 --> 00:00:34,170 +object height? بنقول ال transference magnification + +8 +00:00:34,170 --> 00:00:37,370 +الحال ال transference magnification يساوي image + +9 +00:00:37,370 --> 00:00:42,770 +head على object head احنا المطلوب ال object head + +10 +00:00:42,770 --> 00:00:48,750 +اذا ال object head يساوي image head على ال + +11 +00:00:48,750 --> 00:00:52,950 +transference magnification بنبدل هدول مكان بعضهم + +12 +00:00:52,950 --> 00:00:56,940 +البعض مكان بعضهم البعض So the object height is + +13 +00:00:56,940 --> 00:00:59,440 +equal to the image height over the transverse + +14 +00:00:59,440 --> 00:01:03,480 +magnification. The image height as long as it is + +15 +00:01:03,480 --> 00:01:06,260 +below the optical axis, I give it a minus sign. + +16 +00:01:07,160 --> 00:01:09,680 +Fifteen centimeters is fifteen out of one hundred + +17 +00:01:09,680 --> 00:01:14,740 +meters over the transverse magnification minus + +18 +00:01:14,740 --> 00:01:20,700 +three, which is equal to minus minus plus fifteen + +19 +00:01:20,700 --> 00:01:31,260 +out of one hundred meters over 3 is equal to 3 + +20 +00:01:31,260 --> 00:01:38,180 +times 5 times 100 which is equal to plus 5 cm So + +21 +00:01:38,180 --> 00:01:41,600 +the height of the object is plus 5 cm, plus means + +22 +00:01:41,600 --> 00:01:45,400 +above the optical axis and its height is 5 cm + +23 +00:01:45,400 --> 00:01:48,280 +which is one third of the height of the bird diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/E4SfMpVuLYk_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/E4SfMpVuLYk_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..1237cfa4bb4ed19036cc40c55cff446f77b337c5 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/E4SfMpVuLYk_postprocess.srt @@ -0,0 +1,92 @@ +1 +00:00:04,910 --> 00:00:05,810 +In the name of God, Most Gracious, Most Merciful. + +2 +00:00:06,450 --> 00:00:10,690 +We have an example. The object on the left, but we + +3 +00:00:10,690 --> 00:00:15,230 +still don't know if it is above or below the + +4 +00:00:15,230 --> 00:00:19,730 +optical axis. The image below the optical axis is + +5 +00:00:19,730 --> 00:00:25,310 +15 cm high. The transverse magnification is X + +6 +00:00:25,310 --> 00:00:30,770 +minus 3.What is the object head? What is the + +7 +00:00:30,770 --> 00:00:34,170 +object head? بنقول ال transference magnification + +8 +00:00:34,170 --> 00:00:37,370 +الحال ال transference magnification يساوي image + +9 +00:00:37,370 --> 00:00:42,770 +head على object head احنا المطلوب ال object head + +10 +00:00:42,770 --> 00:00:48,750 +اذا ال object head يساوي image head على ال + +11 +00:00:48,750 --> 00:00:52,950 +transference magnification بنبدل هدول مكان بعضهم + +12 +00:00:52,950 --> 00:00:56,940 +البعض مكان بعضهم البعض So the object height is + +13 +00:00:56,940 --> 00:00:59,440 +equal to the image height over the transphase + +14 +00:00:59,440 --> 00:01:03,480 +magnification. The image height as long as it is + +15 +00:01:03,480 --> 00:01:06,260 +below the optical axis, I give it a minus sign. + +16 +00:01:07,160 --> 00:01:09,680 +Fifteen centimeters is fifteen out of one hundred + +17 +00:01:09,680 --> 00:01:14,740 +meters over the transphase magnification minus + +18 +00:01:14,740 --> 00:01:20,700 +three, which is equal to minus minus plus fifteen + +19 +00:01:20,700 --> 00:01:31,260 +out of one hundred meters over3 is equal to 3 + +20 +00:01:31,260 --> 00:01:38,180 +times 5 times 100 which is equal to plus 5 cm So + +21 +00:01:38,180 --> 00:01:41,600 +the height of the object is plus 5 cm, plus means + +22 +00:01:41,600 --> 00:01:45,400 +above the optical axis and its height is 5 cm + +23 +00:01:45,400 --> 00:01:48,280 +which is one third of the height of the bird + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/EaUP2qmuLNw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/EaUP2qmuLNw.srt new file mode 100644 index 0000000000000000000000000000000000000000..eb5fc6728d5873ce9d15254ed5fb5a20b508b9d4 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/EaUP2qmuLNw.srt @@ -0,0 +1,1738 @@ + +1 +00:00:02,260 --> 00:00:06,720 +بسم الله الرحمن الرحيم، بنواصل محاضرات الـ + +2 +00:00:06,720 --> 00:00:12,200 +Geometric Optics ووصلنا لموضوع جديد تماما، مختلف + +3 +00:00:12,200 --> 00:00:15,700 +قليلا عن العدسات، اللي هو الـ ophthalmic prisms أو + +4 +00:00:15,700 --> 00:00:23,190 +المناشير اللي بتستعمل فيه أو بتستعمل لإلعين It is + +5 +00:00:23,190 --> 00:00:28,310 +not a glass or glassware We say an ophthalmic + +6 +00:00:28,310 --> 00:00:31,890 +prism is a wedge of a transparent plastic or a + +7 +00:00:31,890 --> 00:00:36,350 +glass triangular with a triangular cross section + +8 +00:00:36,350 --> 00:00:39,990 +having an apex and base If we bring a piece of + +9 +00:00:39,990 --> 00:00:45,030 +plastic in a shape of a cube or an equilateral + +10 +00:00:45,030 --> 00:00:52,030 +rectangle وأخدنا منه حفة، يعني أشيلنا منه حفة، هذه + +11 +00:00:52,030 --> 00:00:57,470 +الحفة تعتبر a prism، إله apex وإله base، الbase + +12 +00:00:57,470 --> 00:01:02,230 +هنا جاية لفوق والapex جاية لتحت، هذه الحفةالحدودة + +13 +00:01:02,230 --> 00:01:05,630 +بتنتهي عند الخطوط الزرقاء، هذه الحفة اللي على + +14 +00:01:05,630 --> 00:01:09,550 +اليمين، شيلناها من قطعة من الزجاج أو قطعة من + +15 +00:01:09,550 --> 00:01:13,710 +البلاستيك، هذه تعتبر ophthalmic prism having an + +16 +00:01:13,710 --> 00:01:17,650 +apex، هاي ال apex، هاي القمة بتاعته، وهي القاعدة + +17 +00:01:17,650 --> 00:01:21,950 +بتاعه، هاي القاعدة بتاعته، اذا هذا هو الophthalmic + +18 +00:01:21,950 --> 00:01:25,010 +prism، هاي منظر آخر للophthalmic prism + +19 +00:01:28,170 --> 00:01:34,990 +الو قاعدة ال base القاعدة والو apex قمة وال apex + +20 +00:01:34,990 --> 00:01:39,530 +في angle بيسموها ال apical angle أو زاوية القمة + +21 +00:01:39,530 --> 00:01:43,630 +زاوية القمة مهمة جدا في موضوع الprismat لإنه كل ما + +22 +00:01:43,630 --> 00:01:47,000 +زادت زاوية القمةThe ability of the prism on the + +23 +00:01:47,000 --> 00:01:50,180 +letter of the letter A becomes more, becomes more, + +24 +00:01:50,200 --> 00:01:51,140 +more, more, more, more, more, more, more, more, + +25 +00:01:51,140 --> 00:01:51,720 +more, more, more, more, more, more, more, more, + +26 +00:01:51,720 --> 00:01:51,740 +more, more, more, more, more, more, more, more, + +27 +00:01:51,740 --> 00:01:54,180 +more, more, more, more, more, more, more, more, + +28 +00:01:54,440 --> 00:01:54,440 +more, more, more, more, more, more, more, more, + +29 +00:01:54,440 --> 00:01:54,460 +more, more, more, more, more, more, more, more, + +30 +00:01:54,460 --> 00:01:55,400 +more, more, more, more, more, more, more, more, + +31 +00:01:55,400 --> 00:01:58,730 +more, more, more, more, more, more, more on + +32 +00:01:58,730 --> 00:02:03,650 +deviation or deviation of things will be more and + +33 +00:02:03,650 --> 00:02:08,250 +as we said there is apex and there is base there + +34 +00:02:08,250 --> 00:02:11,370 +is apex and there is base these are examples on + +35 +00:02:11,370 --> 00:02:17,110 +prisms these are prisms that we use in + +36 +00:02:17,110 --> 00:02:19,610 +circumference measurements this is a prism whose + +37 +00:02:19,610 --> 00:02:23,320 +apex angle is smallit could be that the apex + +38 +00:02:23,320 --> 00:02:25,380 +itself is a little bit crooked, but that's not a + +39 +00:02:25,380 --> 00:02:27,840 +problem, and it could still be there, that is up + +40 +00:02:27,840 --> 00:02:33,800 +to 35 prism diopter, the peak that has been + +41 +00:02:33,800 --> 00:02:36,640 +removed, it doesn't play a big role in this + +42 +00:02:36,640 --> 00:02:38,340 +matter, because the important thing is that the + +43 +00:02:38,340 --> 00:02:40,860 +prism is the same, but if we talk about the + +44 +00:02:40,860 --> 00:02:44,890 +strength of the prismIt's related to the apex + +45 +00:02:44,890 --> 00:02:48,050 +angle, it's not the apex angle, this apex angle is + +46 +00:02:48,050 --> 00:02:51,930 +light, so its strength is 5 prism diopter, this is + +47 +00:02:51,930 --> 00:02:55,050 +wider, it's clear that the bigger the angle of the + +48 +00:02:55,050 --> 00:03:00,110 +peak, the bigger the strength of the prism, I have + +49 +00:03:00,110 --> 00:03:03,510 +60 prism diopter, this is considered a high prism + +50 +00:03:04,240 --> 00:03:09,320 +القوة، عالي القوة. إذا هذه موضوع الprismat يعني + +51 +00:03:09,320 --> 00:03:12,920 +أحيانا مستخدمها أو كثير من الأحيان مستخدمها في + +52 +00:03:12,920 --> 00:03:19,130 +قياس الحول بأنواع المختلفةWhat is the difference + +53 +00:03:19,130 --> 00:03:21,870 +between these prisms and these prisms? This is + +54 +00:03:21,870 --> 00:03:23,950 +called a loose prism, that is, each prism by + +55 +00:03:23,950 --> 00:03:27,250 +itself, loose prism, that is, each prism is held + +56 +00:03:27,250 --> 00:03:29,930 +by itself, it can be held horizontally or + +57 +00:03:29,930 --> 00:03:33,550 +vertically This is called a prism bar, prism bar + +58 +00:03:33,550 --> 00:03:36,630 +means a column of prisms, this piece is a prism, + +59 +00:03:37,150 --> 00:03:40,150 +this piece is a prism of one force, a diopter + +60 +00:03:40,150 --> 00:03:44,260 +prismthis piece is a prism with 10 prism diopters, + +61 +00:03:44,760 --> 00:03:48,760 +and this last piece has 45 prism diopters, which I + +62 +00:03:48,760 --> 00:03:52,300 +am defining in its limits, this is its base, this + +63 +00:03:52,300 --> 00:03:54,720 +is its base, and this is its peak, this is the + +64 +00:03:54,720 --> 00:03:58,580 +base, and this is the peak, so it is clear thatThe + +65 +00:03:58,580 --> 00:04:01,960 +base is much lower than the top, much lower than + +66 +00:04:01,960 --> 00:04:05,520 +the top, and the more we move from the right to + +67 +00:04:05,520 --> 00:04:09,260 +the left, the apical angle increases, this is the + +68 +00:04:09,260 --> 00:04:12,120 +apical angle, apical angle, apical angle, and so + +69 +00:04:12,120 --> 00:04:16,350 +on until we get boredto the left, of course, it + +70 +00:04:16,350 --> 00:04:19,050 +increases the strength of the prism, because its + +71 +00:04:19,050 --> 00:04:22,590 +apical angle increases Of course, these hold the + +72 +00:04:22,590 --> 00:04:26,650 +column vertically, so these prisms move + +73 +00:04:26,650 --> 00:04:29,930 +horizontally, that's why it's a horizontal prism + +74 +00:04:30,570 --> 00:04:34,150 +The second column which is also a prism bar, is + +75 +00:04:34,150 --> 00:04:38,390 +also a prism, but it is curved in a vertical prism + +76 +00:04:38,390 --> 00:04:40,970 +When it is held vertically in front of the + +77 +00:04:40,970 --> 00:04:43,930 +patient's face, these are the prisms, this is the + +78 +00:04:43,930 --> 00:04:47,090 +top, this is the bottom, this is the top, this is + +79 +00:04:47,090 --> 00:04:50,070 +the bottom Here the shape is clearer, okay? Here + +80 +00:04:50,070 --> 00:04:53,310 +the shape is clearer, of course The top of the + +81 +00:04:53,310 --> 00:04:56,750 +prism is here, at the top of the sword, and the + +82 +00:04:56,750 --> 00:05:00,010 +bottom of the prism is hereThe top of the prism at + +83 +00:05:00,010 --> 00:05:01,570 +the top of the arrow, of course, is hidden under + +84 +00:05:01,570 --> 00:05:05,610 +the prism above it and this is the base Ok, now + +85 +00:05:05,610 --> 00:05:10,370 +this is for the prisms, what is their nature and + +86 +00:05:10,370 --> 00:05:12,050 +what are their types? These, of course, whether it + +87 +00:05:12,050 --> 00:05:15,810 +is a loose prism or a prism bar, are used in + +88 +00:05:15,810 --> 00:05:20,580 +circumference measurementHere means cross-section + +89 +00:05:20,580 --> 00:05:26,660 +explains why I have apex for the prism and base + +90 +00:05:26,660 --> 00:05:29,640 +for the prism, I have base for the prism Of + +91 +00:05:29,640 --> 00:05:31,180 +course, the mission of the prism is to make + +92 +00:05:31,180 --> 00:05:33,400 +deviation in the rays, which means to make + +93 +00:05:33,400 --> 00:05:36,580 +deviation of the rays from its path, this is its + +94 +00:05:36,580 --> 00:05:39,900 +supposed path before we put the prismThese are the + +95 +00:05:39,900 --> 00:05:43,240 +supposed paths before we put the prism, and it + +96 +00:05:43,240 --> 00:05:45,340 +made a deviation to the rays which became these + +97 +00:05:45,340 --> 00:05:48,540 +paths when it came out of the prism, so this is + +98 +00:05:48,540 --> 00:05:52,080 +the whole angle, which means that if the prism + +99 +00:05:52,080 --> 00:05:55,840 +didn't exist, the light ray wouldn't continue in + +100 +00:05:55,840 --> 00:06:00,030 +this wayAfter we put Librasm, the light ray has + +101 +00:06:00,030 --> 00:06:03,070 +this path, so this angle is called angle of + +102 +00:06:03,070 --> 00:06:03,510 +deviation + +103 +00:06:28,370 --> 00:06:34,310 +Okay, the usage of multiple prisms and many of + +104 +00:06:34,310 --> 00:06:38,460 +them, one of them is the low power prismتكون فيه + +105 +00:06:38,460 --> 00:06:42,280 +small apical angle و فيه high power prism فإيش + +106 +00:06:42,280 --> 00:06:45,880 +تستخدم ال small power prism؟ ال small power prism + +107 +00:06:45,880 --> 00:06:49,020 +طبعا و اللي بيكون اللي هى small apical angle may + +108 +00:06:49,020 --> 00:06:53,480 +be incorporated into spectacle lenses or and + +109 +00:06:53,480 --> 00:06:57,780 +contact lenses يعني ممكن تضاف لبرزمات بقوة ضعيفة + +110 +00:06:57,780 --> 00:07:02,720 +طبعا مش بقوة عالية يعني بقدرش أضيف برزم مثلا ستين + +111 +00:07:02,720 --> 00:07:05,980 +برزم أو خمسين برزم أو خمس و أربعين برزم لنضارة + +112 +00:07:06,190 --> 00:07:10,230 +بينما بقدر أضيف مثلا عشرة Prism، خمسة Prism، سبعة + +113 +00:07:10,230 --> 00:07:13,630 +Prism، زي المنظر التالي ما هيوضحلي، إذا ال low + +114 +00:07:13,630 --> 00:07:17,550 +power PrismThe low power prism can be added to + +115 +00:07:17,550 --> 00:07:19,670 +this prism, this is a lens of a glasses but it is + +116 +00:07:19,670 --> 00:07:22,070 +added to it by a prism so that this is the base + +117 +00:07:22,070 --> 00:07:24,490 +and this is the apex Here it is the same thing, + +118 +00:07:24,570 --> 00:07:26,890 +this is the base and this is the apex, this is a + +119 +00:07:26,890 --> 00:07:30,250 +lens of a glasses Now the lens with the prism as + +120 +00:07:30,250 --> 00:07:33,990 +one mass as we see means placed in the glasses, + +121 +00:07:34,130 --> 00:07:36,950 +placed in the glasses If we come to describe this + +122 +00:07:36,950 --> 00:07:40,420 +scene, we say this is a lensIn the right eye, the + +123 +00:07:40,420 --> 00:07:42,660 +lens in the right eye, the prism comes with the + +124 +00:07:42,660 --> 00:07:46,520 +base in, in towards the nose, in, while in the + +125 +00:07:46,520 --> 00:07:50,520 +left eye, the prism added to the lens, the base is + +126 +00:07:50,520 --> 00:07:53,820 +out, so here base in, out, and here in the left + +127 +00:07:53,820 --> 00:07:58,160 +eye, or the lens of the left eye, base outممكن انا + +128 +00:07:58,160 --> 00:08:01,680 +اختصر الكلام اقول ال .. ال .. ال base في ال .. في + +129 +00:08:01,680 --> 00:08:05,160 +الprismين to the left يعني هدى جاية للشمال و هدى + +130 +00:08:05,160 --> 00:08:08,620 +جاية للشمال او ممكن اقول في ال right base in و في + +131 +00:08:08,620 --> 00:08:12,760 +ال left base out طبعا حسب المطلب، حسب المطلب، اذا + +132 +00:08:12,760 --> 00:08:17,420 +low power prismwith small apical angles may be + +133 +00:08:17,420 --> 00:08:20,760 +incorporated into spectacle lenses و أحيانا تضاف + +134 +00:08:20,760 --> 00:08:25,520 +لل contact lenses بطريقة معينة طيب هى نقطة استخدام + +135 +00:08:25,520 --> 00:08:29,720 +تانى فى جهاز عندي اسمه كيراتوميتر اللى بقيست حدب + +136 +00:08:29,720 --> 00:08:33,920 +القرانية او ال K1 K2 هذا مثال على جهاز + +137 +00:08:33,920 --> 00:08:39,260 +الكيراتوميتر بيقيست حدب القرانيةin the different + +138 +00:08:39,260 --> 00:08:42,820 +meridians, of course, and it gives me numerical + +139 +00:08:42,820 --> 00:08:45,920 +results for the change in the diopter, for + +140 +00:08:45,920 --> 00:08:48,960 +example, the meridian is 90 G, 42 diopters, for + +141 +00:08:48,960 --> 00:08:52,260 +example, and the meridian is 180, for example, 43 + +142 +00:08:52,260 --> 00:08:55,760 +or 40 or 41 diopters, depending on what comes out + +143 +00:08:55,760 --> 00:09:00,100 +with us, in this device, inside this devicethere + +144 +00:09:00,100 --> 00:09:04,300 +are two prisms, the goal of these two prisms is + +145 +00:09:04,300 --> 00:09:10,520 +that the blurred image that I send to the + +146 +00:09:10,520 --> 00:09:12,460 +patient's eye and it is reflected from the cornea, + +147 +00:09:12,620 --> 00:09:15,760 +I want this image to be double-sided, so this + +148 +00:09:15,760 --> 00:09:18,420 +double-sidedness or this double-sidedness in this + +149 +00:09:18,420 --> 00:09:21,260 +image, to help me with the measurement, is done + +150 +00:09:21,260 --> 00:09:24,530 +through the prism, this is the composition ofthe + +151 +00:09:24,530 --> 00:09:27,730 +keratometer from inside and we are not studying + +152 +00:09:27,730 --> 00:09:31,430 +the instrument or the instrumentation of the + +153 +00:09:31,430 --> 00:09:34,070 +device, but we want to know that within the whole + +154 +00:09:34,070 --> 00:09:38,350 +configuration of the keratometer that I have two + +155 +00:09:38,350 --> 00:09:42,500 +pinsThese two prisms are called doubling prisms, + +156 +00:09:42,720 --> 00:09:45,540 +meaning they make the image that I see as an + +157 +00:09:45,540 --> 00:09:48,900 +observer, this is my eye as an observer, and here + +158 +00:09:48,900 --> 00:09:52,280 +will be the patient's eye, so the image that I + +159 +00:09:52,280 --> 00:09:54,240 +want to return to my eye, I want to see it, I want + +160 +00:09:54,240 --> 00:09:57,740 +to have a double image, double image, this image + +161 +00:09:57,740 --> 00:10:00,300 +is called Myers, the Myers is a doubled image, + +162 +00:10:00,800 --> 00:10:03,080 +meaning instead of a picture, a picture, instead + +163 +00:10:03,080 --> 00:10:07,100 +of a picturetwo pictures and this detail will be + +164 +00:10:07,100 --> 00:10:12,120 +in the material or the instruments but what is + +165 +00:10:12,120 --> 00:10:14,240 +known or what we want to know here in the subject + +166 +00:10:14,240 --> 00:10:17,480 +of prisms is that in the keratometer there are two + +167 +00:10:17,480 --> 00:10:22,200 +low power prisms two low power .. low power prisms + +168 +00:10:22,200 --> 00:10:25,640 +so the doubled image viewed in keratometers is + +169 +00:10:25,640 --> 00:10:30,170 +achieved with low power prism ok this is a pointSo + +170 +00:10:30,170 --> 00:10:34,390 +the low power prism can be used in spectacles, it + +171 +00:10:34,390 --> 00:10:38,050 +can be incorporated for spectacles or contact + +172 +00:10:38,050 --> 00:10:42,190 +lenses. Also the low power prism can be used in + +173 +00:10:42,190 --> 00:10:46,690 +keratometers. Now the high power prismwith large + +174 +00:10:46,690 --> 00:10:49,550 +apex angles are used to measure angle of + +175 +00:10:49,550 --> 00:10:50,070 +strabismus + +176 +00:11:07,530 --> 00:11:13,230 +to produce the doubling in measurement of in + +177 +00:11:13,230 --> 00:11:15,630 +measuring head of the Goldman tonometer + +178 +00:11:19,220 --> 00:11:21,280 +This is the Goldman tonometer The Goldman + +179 +00:11:21,280 --> 00:11:24,260 +tonometer is a device connected to a slit lamp + +180 +00:11:24,260 --> 00:11:27,840 +device that we use to measure eye pressure Also, + +181 +00:11:28,400 --> 00:11:31,460 +when I measure eye pressure, I have a circle that + +182 +00:11:31,460 --> 00:11:35,900 +I want to see through this device We divide this + +183 +00:11:35,900 --> 00:11:39,720 +circle into two parts, half circle and half + +184 +00:11:39,720 --> 00:11:43,240 +circle, so that we can measure eye pressure What + +185 +00:11:43,240 --> 00:11:47,670 +divides the circleاللي بيقسم للدائرة، لأ نصين، + +186 +00:11:47,670 --> 00:11:52,000 +طبعا الدائرة اللي هي ناتجة أو .. أو ناتجة عن ..is + +187 +00:11:52,000 --> 00:1 + +223 +00:13:56,070 --> 00:13:57,650 +this region for example in the lower, in the + +224 +00:13:57,650 --> 00:14:01,310 +inferior retina for example بحط ال base في ال .. في + +225 +00:14:01,310 --> 00:14:05,010 +ال .. بتكون .. حيث تكون down و بسلط ال laser عبر + +226 +00:14:05,010 --> 00:14:10,750 +ال prism فبيتخطى قضية ال ice، بيتخطى قضية ال ice، + +227 +00:14:10,750 --> 00:14:12,110 +اذا ا أيضا .. + +228 +00:14:15,290 --> 00:14:18,310 +and to apply laser treatment to the periphery of + +229 +00:14:18,310 --> 00:14:21,770 +the fundus which is the retina so these are many + +230 +00:14:21,770 --> 00:14:26,290 +uses for prisms whether low power or high power + +231 +00:14:26,290 --> 00:14:30,150 +let's say what is the simplest prism available + +232 +00:14:30,150 --> 00:14:35,590 +let's say as follows this is prism number one in + +233 +00:14:35,590 --> 00:14:39,630 +blue, two in red, three in yellow and four we will + +234 +00:14:39,630 --> 00:14:43,950 +talk about shortly we say as follows كل ما كبرت ال + +235 +00:14:43,950 --> 00:14:44,270 +apical angle بيكون قوة ال prism أقوى كل ما كبرت ال + +236 +00:14:44,270 --> 00:14:48,970 +apical angle بيكون قوة ال prism أقوى طيب الأزرق + +237 +00:14:48,970 --> 00:14:51,970 +أقوى من الأحمر لأن ال apical angle بتاعته أقوى + +238 +00:14:51,970 --> 00:14:57,250 +الأحمر أقوى من الأصفر لأن ال apical تاعته أكبر فبت + +239 +00:14:57,250 --> 00:15:01,450 +.. ال apical angle زاوية أكبر طبعا .. طبعا هذا + +240 +00:15:01,450 --> 00:15:06,390 +هيكون أضعف من الأحمر لغاية ما نصل لأضعف prism ممكن + +241 +00:15:06,390 --> 00:15:10,030 +العلماء نظريا بيقولوا أضعف prism ممكن لما زاوية + +242 +00:15:10,030 --> 00:15:14,040 +القمة ساوة صفر Okay, a person might ask himself, + +243 +00:15:14,360 --> 00:15:17,660 +this can't really exist in life, because if the + +244 +00:15:17,660 --> 00:15:20,980 +angle of the peak is zero, it means that the two + +245 +00:15:20,980 --> 00:15:23,560 +sides of the prism are aligned to each other, and + +246 +00:15:23,560 --> 00:15:26,080 +the prism is gone, I don't have a prism anymore + +247 +00:15:26,080 --> 00:15:29,340 +They say that this is theoretically true, but + +248 +00:15:29,340 --> 00:15:32,500 +there is something very similar that I can + +249 +00:15:32,500 --> 00:15:35,280 +consider as if the two sides are aligned to each + +250 +00:15:35,280 --> 00:15:39,080 +other What is the very similar thing that gives me + +251 +00:15:39,080 --> 00:15:42,880 +the force of a prism with a magnitude of zero?What + +252 +00:15:42,880 --> 00:15:45,500 +does zero mean? It means I can consider the apical + +253 +00:15:45,500 --> 00:15:47,740 +angle as zero and as if the two surfaces are + +254 +00:15:47,740 --> 00:15:50,780 +aligned to each other, but in fact this prism + +255 +00:15:50,780 --> 00:15:53,360 +exists and is not hidden How does this matter? + +256 +00:15:53,660 --> 00:15:56,980 +They say the plane parallel plate The plane + +257 +00:15:56,980 --> 00:16:01,700 +parallel plate is what? It is what if we look at + +258 +00:16:01,700 --> 00:16:06,100 +Google images and say here plane parallel plate + +259 +00:16:14,650 --> 00:16:18,070 +And we saw what pictures we can get from it I + +260 +00:16:18,070 --> 00:16:23,170 +mean, this for example is a piece of glass with a + +261 +00:16:23,170 --> 00:16:26,810 +plain parallel plate Notice that this window or + +262 +00:16:26,810 --> 00:16:29,550 +this is considered a plain parallel plate I mean, + +263 +00:16:29,650 --> 00:16:32,810 +it's like a rectangular piece of glass, this is + +264 +00:16:32,810 --> 00:16:35,950 +considered a plain parallel plate, plain parallel + +265 +00:16:35,950 --> 00:16:38,490 +plate This one also, the blue one, is a plain + +266 +00:16:38,490 --> 00:16:44,600 +parallel plate, plain parallel plate if let's say + +267 +00:16:44,600 --> 00:16:50,060 +glass plain plain glass plain parallel plate and + +268 +00:16:50,060 --> 00:16:52,980 +let's see what will come out with it this is a + +269 +00:16:52,980 --> 00:16:57,520 +plain parallel plate this is a plain parallel + +270 +00:16:57,520 --> 00:16:59,500 +plate of course there are pictures that may be + +271 +00:16:59,500 --> 00:17:06,180 +clearer than that or it can be plastic there is no + +272 +00:17:06,180 --> 00:17:12,920 +problem so it is a piece a piece than for example + +273 +00:17:12,920 --> 00:17:18,380 +the window glass or any other plane parallel to + +274 +00:17:18,380 --> 00:17:20,880 +the plate Why do they consider the plane parallel + +275 +00:17:20,880 --> 00:17:26,800 +to the plate? As if the prism has zero force The + +276 +00:17:26,800 --> 00:17:29,600 +thing is very simple, if we look at the view below + +277 +00:17:29,600 --> 00:17:32,640 +This is the view below We say that the plane + +278 +00:17:32,640 --> 00:17:35,440 +parallel to the plate can be considered as two + +279 +00:17:35,440 --> 00:17:42,300 +prisms attached to each other In other words, this + +280 +00:17:42,300 --> 00:17:46,740 +blue prism, this is its apical angle, and the + +281 +00:17:46,740 --> 00:17:52,280 +moving prism, this is its apical angle What + +282 +00:17:52,280 --> 00:17:55,760 +happens to this prism, reflects to this one, and + +283 +00:17:55,760 --> 00:17:58,140 +what happens to this one, reflects to this one, + +284 +00:17:58,180 --> 00:18:00,300 +why? Because they are facing each other in space, + +285 +00:18:00,700 --> 00:18:03,880 +this is its apical angle up, and this is its + +286 +00:18:03,880 --> 00:18:09,840 +apical angle down فأثر هذا بلغي هذا و أثر هذا بلغي + +287 +00:18:09,840 --> 00:18:13,660 +هذا كأنه ال prism مش موجود فبالتالي يمكن مجازا انه + +288 +00:18:13,660 --> 00:18:17,100 +نعتبر ال plane parallel plate كأنه ال prism ال + +289 +00:18:17,100 --> 00:18:21,000 +apical angle بتاعته صفر ال apical angle بتاعته صفر + +290 +00:18:21,000 --> 00:18:24,320 +نيجي نحكي عن ال plane parallel plate اللي هو ال + +291 +00:18:24,320 --> 00:18:28,180 +simplest prism اذا the simplest prism has an apex + +292 +00:18:28,180 --> 00:18:32,590 +angle of zero degree What does it mean? That is the + +293 +00:18:32,590 --> 00:18:35,870 +two faces are parallel, the two faces are + +294 +00:18:35,870 --> 00:18:38,530 +parallel, there is a face and there is a face, + +295 +00:18:39,470 --> 00:18:45,320 +therefore these two faces are parallel بس مش بالشكل + +296 +00:18:45,320 --> 00:18:48,660 +اللي احنا متصورينه لإنه لو بالشكل هذا معناته فيش + +297 +00:18:48,660 --> 00:18:52,140 +prism انطبقوا السطحين على بعض معناته ال apical + +298 +00:18:52,140 --> 00:18:56,280 +angle zero معناته اختفى ال prism لأ احنا بنقصد بيه + +299 +00:18:56,280 --> 00:18:57,920 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +300 +00:18:57,920 --> 00:18:58,020 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +301 +00:18:58,020 --> 00:18:58,080 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +302 +00:18:58,080 --> 00:18:58,460 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +303 +00:18:58,460 --> 00:18:58,540 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +304 +00:18:58,540 --> 00:18:59,080 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +305 +00:18:59,080 --> 00:18:59,180 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +306 +00:18:59,180 --> 00:19:05,720 +ال .. ال .. ال .. ال .. + +307 +00:19:05,720 --> 00:19:12,020 +ال .. ال .. ال .. + +308 +00:19:15,560 --> 00:19:20,400 +فبالتالي هذا هو ال plane parallel plate طيب إيش + +309 +00:19:20,400 --> 00:19:23,480 +بيعمل ال plane parallel plate when light ray + +310 +00:19:23,480 --> 00:19:27,760 +traverses a plane parallel plate such as a piece + +311 +00:19:27,760 --> 00:19:32,060 +of window glass لما الضوء بيعدي عبر plane parallel + +312 +00:19:32,060 --> 00:19:38,600 +plate زي ما يعدى عبر مثلا قطعة من زجاج الشباك it is + +313 +00:19:38,600 --> 00:19:42,340 +refracted at both surfaces يعني بينعكس على السطح + +314 +00:19:42,340 --> 00:19:46,040 +الأول أو .. أو بينكسر على السطح الأول هي الضوء + +315 +00:19:46,040 --> 00:19:51,070 +رايح يعدى، انكسر then it broke again, it broke here + +316 +00:19:51,070 --> 00:19:53,410 +why? because it moved from the air to the glass + +317 +00:19:53,410 --> 00:19:55,870 +and it broke here why? because it moved from the + +318 +00:19:55,870 --> 00:19:58,690 +glass to the air okay, what is this going to + +319 +00:19:58,690 --> 00:20:02,330 +happen to me? it is refracted at both surfaces but + +320 +00:20:02,330 --> 00:20:05,490 +because the bending is equal and opposite at the + +321 +00:20:05,490 --> 00:20:09,610 +two surfaces there is no net deviation okay, what + +322 +00:20:09,610 --> 00:20:14,710 +does this mean? this means that first, what is the + +323 +00:20:14,710 --> 00:20:18,930 +deviation here? he broke the light and got closer + +324 +00:20:18,930 --> 00:20:21,970 +to the service normal why? because he entered a + +325 +00:20:21,970 --> 00:20:24,490 +more dense substance then here he broke the light + +326 +00:20:24,490 --> 00:20:27,010 +and got away from the service normal his proximity + +327 +00:20:27,010 --> 00:20:29,310 +here is equal to his distance here as if nothing + +328 +00:20:29,310 --> 00:20:33,390 +happened as if nothing happened in another sense + +329 +00:20:33,390 --> 00:20:39,310 +here he broke it as if imagine a man walking with + +330 +00:20:39,310 --> 00:20:47,500 +a flashlight we say turn right بزاوية معينة، ثم مال + +331 +00:20:47,500 --> 00:20:51,060 +إلى اليسار بزاوية أخرى عكسة طبعا، هنا مال 30 + +332 +00:20:51,060 --> 00:20:54,220 +degree إلى اليمين، بعدين مال 30 degree إلى الشمال، + +333 +00:20:54,220 --> 00:20:58,140 +الصافي كأنه مامالش، الدليل لو مدينا الشعاع اللي + +334 +00:20:58,140 --> 00:21:04,010 +داخل، الشعاع اللي داخل، لو مديناه And we completed + +335 +00:21:04,010 --> 00:21:06,370 +it as if the prism wasn't there, because if the + +336 +00:21:06,370 --> 00:21:09,010 +prism wasn't there, the beam would remain on the + +337 +00:21:09,010 --> 00:21:13,630 +same line And the beam that came out of the prism, + +338 +00:21:13,670 --> 00:21:15,630 +we will find that they are parallel, which means + +339 +00:21:15,630 --> 00:21:19,010 +that the beam didn't change its direction, but it + +340 +00:21:19,010 --> 00:21:22,670 +deviated It became displacement, not deviation, + +341 +00:21:22,770 --> 00:21:24,990 +there is a difference between displacement and + +342 +00:21:24,990 --> 00:21:27,710 +deviation What is this difference? Let's take an + +343 +00:21:27,710 --> 00:21:29,310 +example from everyday life Let's say a person + +344 +00:21:29,310 --> 00:21:34,680 +drives his car from Gaza to Rafah فى الطريق أمامه + +345 +00:21:34,680 --> 00:21:40,760 +شاحنة راح لليسار قليلا متر أو مترين تجاوز الشاحنة + +346 +00:21:40,760 --> 00:21:44,440 +وضلوا فى طريقه إلى رفعه إذا هو ماغير طريقه وإنما + +347 +00:21:44,440 --> 00:21:48,600 +أزاح المركب بتاعته إلى اليسار قليلا حتى يتجاوز + +348 +00:21:48,600 --> 00:21:56,980 +الشاحنة وهنا .. هنا الشعاعة ضوء فى اتجاهه إلى + +349 +00:21:56,980 --> 00:22:01,840 +اليمين والأعلى When he met the prism, he went right + +350 +00:22:01,840 --> 00:22:04,680 +and then passed his way again, he stayed to the + +351 +00:22:04,680 --> 00:22:06,680 +right and to the top, he stayed to the right and + +352 +00:22:06,680 --> 00:22:09,640 +to the top So there is displacement, fishnet + +353 +00:22:09,640 --> 00:22:12,400 +deviation If we imagine that the ray before + +354 +00:22:12,400 --> 00:22:15,820 +entering, before entering, tilts on the horizontal + +355 +00:22:15,820 --> 00:22:20,020 +axis by 30 degrees or 40 degrees, when it comes + +356 +00:22:20,020 --> 00:22:22,160 +out, it will tilt on the horizontal axis in the + +357 +00:22:22,160 --> 00:22:26,240 +same way this one in the same way, so I don't have + +358 +00:22:26,240 --> 00:22:29,860 +net deviation, I don't have net deviation, so + +359 +00:22:29,860 --> 00:22:34,300 +there + +360 +00:22:34,300 --> 00:22:37,060 +is no net deviation, however there is lateral + +361 +00:22:37,060 --> 00:22:39,000 +displacement + +362 +00:22:41,980 --> 00:22:44,620 +walking in this direction and zeeh became walking + +363 +00:22:44,620 --> 00:22:48,000 +in this direction, walking in this direction, so I + +364 +00:22:48,000 --> 00:23:00,020 +have a lateral displacement to this, so if + +365 +00:23:00,020 --> 00:23:04,690 +I have the beam falling vertically سقط عمودي مش + +366 +00:23:04,690 --> 00:23:09,590 +بميلان سقط عمودي مش هيغير طريقه و هيطلع زي ما هو + +367 +00:23:09,590 --> 00:23:13,610 +بس فى المنطقة هاى هيبطأ فى المنطقة هاى هيبطأ هنشوف + +368 +00:23:13,610 --> 00:23:16,690 +فجر الكلام بعد قليل فى ال simulation When the + +369 +00:23:16,690 --> 00:23:20,030 +surfaces of a wedge of a glass are not parallel, + +370 +00:23:20,630 --> 00:23:23,790 +light rays undergo a net deviation امتى ال prison + +371 +00:23:23,790 --> 00:23:27,550 +بيعطينا net deviation لما يكون The two services, + +372 +00:23:27,870 --> 00:23:30,850 +the side services, are not parallel, they are at + +373 +00:23:30,850 --> 00:23:32,210 +an angle between them, like this is the prism, and + +374 +00:23:32,210 --> 00:23:33,770 +this is the prism, and this is the prism, and this + +375 +00:23:33,770 --> 00:23:38,270 +is the prism, it will change towards the beam + +376 +00:23:38,270 --> 00:23:42,110 +inside the prism, unless there is an end plane + +377 +00:23:42,110 --> 00:23:43,930 +parallel to the plane, then there will be a + +378 +00:23:43,930 --> 00:23:46,930 +deviation without a deviation, without a + +379 +00:23:46,930 --> 00:23:49,210 +deviation, the word deviation means to change its + +380 +00:23:49,210 --> 00:23:53,270 +course, it was tilting for example 40 degrees on + +381 +00:23:53,270 --> 00:23:55,170 +the horizontal axis, when it came out, it turned + +382 +00:23:55,170 --> 00:23:58,110 +30 degrees, but in the plane parallel plate, this + +383 +00:23:58,110 --> 00:24:01,430 +does not happen, this does not happen, we will see + +384 +00:24:01,430 --> 00:24:04,450 +in this simulation how it will happen here we want + +385 +00:24:04,450 --> 00:24:12,930 +to draw a plane parallel plate let + +386 +00:24:12,930 --> 00:24:20,690 +me just change the place of the drawing to make + +387 +00:24:20,690 --> 00:24:24,210 +the picture clearer here I have a plain parallel + +388 +00:24:24,210 --> 00:24:33,470 +plate here + +389 +00:24:33,470 --> 00:24:36,950 +I have a plain parallel plate and here I have a + +390 +00:24:36,950 --> 00:24:40,030 +ray, a light ray that wants to drop a drop of + +391 +00:24:40,030 --> 00:24:40,170 +water + +392 +00:24:43,180 --> 00:24:46,680 +هذه الشعاع الساقط اللي داخل وهذه الشعاع اللي خارج + +393 +00:24:46,680 --> 00:24:50,460 +من ال plane parallel plate لو حابينا نعرف هل في + +394 +00:24:50,460 --> 00:24:55,680 +إزاحة ولا لأ نعمل extension نعمل + +395 +00:24:55,680 --> 00:24:59,800 +extend ده دلوقت بتضبط + +396 +00:24:59,800 --> 00:25:06,120 +لو مديت هذا أو مديت هذا The two are parallel, this + +397 +00:25:06,120 --> 00:25:08,360 +parallel to this, which means that they are on the + +398 +00:25:08,360 --> 00:25:13,420 +same horizontal axis So when I move the light ray + +399 +00:25:13,420 --> 00:25:15,880 +through the plane parallel to the blade, it was + +400 +00:25:15,880 --> 00:25:19,060 +going in this direction It was going in this + +401 +00:25:19,060 --> 00:25:23,600 +direction, to simplify the situation, the blocker + +402 +00:25:23,600 --> 00:25:24,660 +helps us sometimes + +403 +00:25:34,260 --> 00:25:37,900 +Let's move the blocker and see So the candle was + +404 +00:25:37,900 --> 00:25:41,180 +moving, if we move it with the blocker, the candle + +405 +00:25:41,180 --> 00:25:52,820 +will move too + +406 +00:25:52,820 --> 00:25:58,320 +Ok + +407 +00:26:04,180 --> 00:26:09,600 +So, let's assume that this ray, excuse me, this + +408 +00:26:09,600 --> 00:26:12,560 +ray that entered the plane parallel plate, didn't + +409 +00:26:12,560 --> 00:26:14,540 +bring the plane parallel plate, it will keep going + +410 +00:26:14,540 --> 00:26:17,680 +its way Okay, it brought the plane parallel plate, + +411 +00:26:18,520 --> 00:26 + +445 +00:29:59,680 --> 00:30:03,000 +This is from 180 degrees to 150 degrees, 30 + +446 +00:30:03,000 --> 00:30:09,040 +degrees, 35 degrees, maybe the surface is not 100% + +447 +00:30:09,040 --> 00:30:12,000 +because I touched it with my hand. So there is no + +448 +00:30:12,000 --> 00:30:14,380 +displacement at all, there is no displacement at + +449 +00:30:14,380 --> 00:30:16,760 +all, but displacement, it is called displacement, + +450 +00:30:17,120 --> 00:30:20,020 +it means it stays in its way, but it moves a + +451 +00:30:20,020 --> 00:30:24,920 +little to the side, lateral displacement. On the + +452 +00:30:24,920 --> 00:30:28,080 +contrary, if I had a prism + +453 +00:30:30,240 --> 00:30:38,300 +If I have a prism It + +454 +00:30:38,300 --> 00:30:46,840 +has an apical angle, not zero apical angle And + +455 +00:30:46,840 --> 00:30:52,520 +here I have a single ray So, + +456 +00:30:53,040 --> 00:30:57,310 +the light was in its path in this direction in this + +457 +00:30:57,310 --> 00:31:00,990 +direction, up and to the right, it became down and + +458 +00:31:00,990 --> 00:31:04,950 +to the right, so there is a net displacement here, + +459 +00:31:04,950 --> 00:31:08,130 +net displacement or net deviation, while here + +460 +00:31:08,130 --> 00:31:09,950 +there is only displacement, there is only + +461 +00:31:09,950 --> 00:31:11,890 +displacement here, therefore + +462 +00:31:17,370 --> 00:31:21,270 +this case we want to explain by simulation, so + +463 +00:31:21,270 --> 00:31:24,770 +plane parallel plate is the simplest prism, we can + +464 +00:31:24,770 --> 00:31:27,450 +consider it as an angle zero because it can be + +465 +00:31:27,450 --> 00:31:30,290 +considered as a miracle that it is two opposite + +466 +00:31:30,290 --> 00:31:32,010 +prisms, so what happens to the first one negates + +467 +00:31:32,010 --> 00:31:33,950 +the second one, and what happens to the second one + +468 +00:31:33,950 --> 00:31:35,870 +negates the first one or negates the first one, so + +469 +00:31:35,870 --> 00:31:39,570 +it is considered as prism, its force is zero. The + +470 +00:31:39,570 --> 00:31:41,510 +greater the apical angle, the greater the force of + +471 +00:31:41,510 --> 00:31:44,770 +the prism in the letter of the rays. Therefore, + +472 +00:31:44,970 --> 00:31:48,090 +this issue is very important to be clear + +473 +00:31:53,470 --> 00:31:57,210 +When the surfaces of a wedge of a glass are not + +474 +00:31:57,210 --> 00:32:01,050 +parallel, light rays undergo a net deviation Now, + +475 +00:32:01,270 --> 00:32:05,350 +the last thing is to make two prisms, one with an + +476 +00:32:05,350 --> 00:32:09,650 +apical angle and one with a small apical angle + +477 +00:32:09,650 --> 00:32:15,790 +Let's say this is my prism with a big apical angle + +478 +00:32:15,790 --> 00:32:18,910 +And + +479 +00:32:18,910 --> 00:32:23,460 +I have a prism with a small apical angle I want it + +480 +00:32:23,460 --> 00:32:27,200 +small And we see their power in the letter of the + +481 +00:32:27,200 --> 00:32:31,760 +rays Is it equal or not equal? + +482 +00:32:34,120 --> 00:32:48,020 +Okay, if we have light ray here Light + +483 +00:32:48,020 --> 00:32:48,300 +ray + +484 +00:32:54,560 --> 00:32:56,360 +It's not only about letters or numbers, it's about + +485 +00:32:56,360 --> 00:33:04,540 +total internal reflection Wait + +486 +00:33:04,540 --> 00:33:12,560 +a second The + +487 +00:33:12,560 --> 00:33:13,760 +apical angle is clear here + +488 +00:33:20,930 --> 00:33:23,590 +very big, to the extent that it has many letters + +489 +00:33:23,590 --> 00:33:32,710 +So let's say that this direction, wait + +490 +00:33:32,710 --> 00:33:39,010 +a minute So + +491 +00:33:39,010 --> 00:33:43,750 +the direction was up and down very sharply Same + +492 +00:33:43,750 --> 00:33:49,280 +thing here, if we want We take it to the second + +493 +00:33:49,280 --> 00:33:55,100 +prism and see how it is Of + +494 +00:33:55,100 --> 00:34:03,480 +course + +495 +00:34:03,480 --> 00:34:10,320 +here We want to make the same curve Similar to the + +496 +00:34:10,320 --> 00:34:13,200 +curve in the first case Curve of the rays to the + +497 +00:34:13,200 --> 00:34:17,320 +top and right Approximately + +498 +00:34:26,690 --> 00:34:36,450 +طبعا كان للأعلى ولا اليمين انحرف عن مصاره قليلا هو + +499 +00:34:36,450 --> 00:34:41,870 +كان بالاتجاه هذا يعني جرب شوية من القاعدة بس مش + +500 +00:34:41,870 --> 00:34:44,950 +بالشكل اللي احنا شايفينه، مش بالشكل اللي احنا + +501 +00:34:44,950 --> 00:34:48,770 +شايفينه، هيك بتنتهي المحاضرة و المرة القادمة ان + +502 +00:34:48,770 --> 00:34:52,110 +شاء الله يتعالى بنكمل مع ال angle of deviation و + +503 +00:34:52,110 --> 00:34:55,730 +يعطيكم العافية والسلام عليكم ورحمة الله وبركة diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/HwFxRaxbs6w.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/HwFxRaxbs6w.srt new file mode 100644 index 0000000000000000000000000000000000000000..e3ca1741813272ede343eb6c5062a4916410d4f5 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/HwFxRaxbs6w.srt @@ -0,0 +1,280 @@ + +1 +00:00:01,350 --> 00:00:02,330 +In the name of Allah, the most merciful, the most + +2 +00:00:02,330 --> 00:00:05,630 +merciful, we have a problem today with the convex + +3 +00:00:05,630 --> 00:00:08,950 +mirror, convex mirror, half a meter is fifty + +4 +00:00:08,950 --> 00:00:12,050 +centimeters, there is a body at a distance of one + +5 +00:00:12,050 --> 00:00:14,250 +meter, one hundred centimeters, we want to see + +6 +00:00:14,250 --> 00:00:16,190 +where the image will form and what is the + +7 +00:00:16,190 --> 00:00:21,010 +transverse magnification of this image, first of + +8 +00:00:21,010 --> 00:00:23,750 +all, we want to get the power of the mirror, the + +9 +00:00:23,750 --> 00:00:24,850 +power of the mirror + +10 +00:00:34,740 --> 00:00:38,900 +power of the mirror is equal to 2 divided by R + +11 +00:00:38,900 --> 00:00:48,520 +which is equal to 2 divided by half meter which is + +12 +00:00:48,520 --> 00:00:51,760 +equal to 2 divided by half which is equal to 4 + +13 +00:00:51,760 --> 00:00:55,600 +which is equal to minus 4 diopter because it is a + +14 +00:00:55,600 --> 00:01:00,600 +convex mirror which is equal to minus 4 diopter + +15 +00:01:00,600 --> 00:01:03,460 +which is equal to minus 4 diopter + +16 +00:01:09,270 --> 00:01:11,830 +this is the power of the mirror now the rays will + +17 +00:01:11,830 --> 00:01:14,770 +come from the object divergent because it is a + +18 +00:01:14,770 --> 00:01:21,050 +real object u is equal to negative n over o which + +19 +00:01:21,050 --> 00:01:26,110 +is equal to negative one over one meter which is + +20 +00:01:26,110 --> 00:01:32,630 +equal to negative one diopter now the u is minus + +21 +00:01:32,630 --> 00:01:36,570 +one diopter because the rays came divergent بمقدار + +22 +00:01:36,570 --> 00:01:46,510 +واحد ديوبتر وصلت لسطح المرأة divergent + +23 +00:01:46,510 --> 00:01:55,350 +بمقدار واحد ديوبتر هتنعكس + +24 +00:01:55,350 --> 00:02:00,430 +more divergent لإن ال convex mirror بتشتت الأشعة + +25 +00:02:00,430 --> 00:02:05,260 +بزيادة بتشتت الأشعة بزيادة So it will make it + +26 +00:02:05,260 --> 00:02:09,700 +reflect in the + +27 +00:02:09,700 --> 00:02:13,620 +same direction Let's see how much the reflection + +28 +00:02:13,620 --> 00:02:16,620 +is when the rays leave Of course it will reflect + +29 +00:02:16,620 --> 00:02:20,020 +in the same direction So there is only one space + +30 +00:02:20,020 --> 00:02:23,620 +for the mirror The space behind is not present for + +31 +00:02:23,620 --> 00:02:26,560 +the mirror Let's say how much the reflection will + +32 +00:02:26,560 --> 00:02:37,750 +be U plus power equals VU-1 diopter and power -4 + +33 +00:02:37,750 --> 00:02:42,490 +diopter is + +34 +00:02:42,490 --> 00:02:49,770 +equal to V, so V is equal to minus 5 diopter + +35 +00:02:51,550 --> 00:02:56,570 +Multiple rays of five diopters cannot form a real + +36 +00:02:56,570 --> 00:03:02,230 +picture, but the more it is reflected to the left, + +37 +00:03:02,470 --> 00:03:05,090 +the more it is diffused, the more the distance + +38 +00:03:05,090 --> 00:03:07,130 +increases away from each other. So we say that it + +39 +00:03:07,130 --> 00:03:10,630 +will form an imaginary image of the magnitude of + +40 +00:03:10,630 --> 00:03:17,090 +these rays in the virtual space of the mirror So we + +41 +00:03:17,090 --> 00:03:22,890 +say I is equal to unconditional over V I small is + +42 +00:03:22,890 --> 00:03:29,450 +equal to unconditional over V is equal to one over + +43 +00:03:29,450 --> 00:03:38,670 +minus five diopters is equal to minus two out of + +44 +00:03:38,670 --> 00:03:46,440 +ten meters ويساوي ماينس عشرين صندر When we see the + +45 +00:03:46,440 --> 00:03:48,780 +word minus, we think of it here on the left, of + +46 +00:03:48,780 --> 00:03:51,900 +course the image space For the mirror, it's the + +47 +00:03:51,900 --> 00:03:54,280 +opposite, if this is not a mirror, if this is a + +48 +00:03:54,280 --> 00:03:56,800 +lens, we would say okay, the minus is on the left, + +49 +00:03:56,980 --> 00:03:59,020 +no, here the minus became on the right because + +50 +00:03:59,020 --> 00:04:00,640 +it's the opposite of the lens, opposite of the + +51 +00:04:00,640 --> 00:04:04,980 +lens, so the picture will be 20 cm wide on the + +52 +00:04:04,980 --> 00:04:07,200 +right of the mirror, on the right of the mirror, + +53 +00:04:07,620 --> 00:04:11,040 +and it will be an imaginary picture, it will be an + +54 +00:04:11,040 --> 00:04:11,400 +imaginary picture + +55 +00:04:14,740 --> 00:04:17,160 +and it will be an imaginary image at a distance of + +56 +00:04:17,160 --> 00:04:22,840 +20 cm to the right, it will be a picture of course + +57 +00:04:22,840 --> 00:04:27,500 +it will + +58 +00:04:27,500 --> 00:04:30,760 +be an imaginary image at a distance of 20 cm, that + +59 +00:04:30,760 --> 00:04:32,720 +is, this distance is 20 cm from the surface of the + +60 +00:04:32,720 --> 00:04:36,480 +mirror to ... + +61 +00:04:36,480 --> 00:04:41,280 +Okay, now we want to get the transference + +62 +00:04:41,280 --> 00:04:49,550 +magnification equal to U over V ويساوي ال U minus + +63 +00:04:49,550 --> 00:04:54,070 +one diopter على + +64 +00:04:54,070 --> 00:04:57,110 +ال V minus five diopter + +65 +00:05:02,060 --> 00:05:08,920 +x plus 5 or x plus 2 out of 10 x plus means the + +66 +00:05:08,920 --> 00:05:12,960 +picture is regular and 5 means 2 out of 10 or 5 is + +67 +00:05:12,960 --> 00:05:14,420 +the height of the object which means that if the + +68 +00:05:14,420 --> 00:05:19,760 +object is 10 cm high, its height is 2 cm this is + +69 +00:05:19,760 --> 00:05:21,820 +how the lesson ends and may God bless you all and + +70 +00:05:21,820 --> 00:05:22,520 +peace be upon you diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/I56VffKvb88_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/I56VffKvb88_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..c26785c563dfd70be91a1c3aae5ebe3dd93144b8 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/I56VffKvb88_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2807, "start": 1.55, 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As the following picture shows, I have a stigmatic image inside the glass. 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Okay, I want more than one point to have a stigmatic image", "tokens": [2278, 956, 15276, 12883, 526, 3885, 44672, 279, 6488, 281, 257, 4978, 300, 498, 286, 362, 472, 45353, 278, 2643, 11, 2167, 45353, 278, 2643, 11, 293, 286, 13475, 309, 294, 264, 1151, 1944, 636, 420, 294, 264, 881, 6854, 636, 11, 264, 6674, 300, 341, 2167, 45353, 278, 2643, 575, 307, 281, 652, 257, 342, 20181, 2399, 3256, 337, 787, 472, 935, 13, 1033, 11, 286, 528, 544, 813, 472, 935, 281, 362, 257, 342, 20181, 2399, 3256], "avg_logprob": -0.4910156190395355, "compression_ratio": 1.7373737373737375, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1137.98, "end": 1138.46, "word": "The", "probability": 0.29052734375}, {"start": 1138.46, "end": 1138.72, "word": " scholar", "probability": 0.52978515625}, {"start": 1138.72, "end": 1139.14, "word": " René", "probability": 0.62353515625}, {"start": 1139.14, "end": 1139.64, "word": " Descartes", "probability": 0.9607747395833334}, {"start": 1139.64, "end": 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demonstrated that an optical system can produce a stigmatic image of only as many object points as there are degrees of freedom in the optical system يعني ما معنى هذا الكلام؟ ما معنى هذا الكلام؟", "tokens": [9566, 3555, 3615, 995, 4724, 995, 14851, 25957, 6027, 11203, 2304, 2423, 16572, 46958, 1829, 9307, 538, 1355, 295, 18666, 309, 575, 668, 18772, 300, 364, 20674, 1185, 393, 5258, 257, 342, 20181, 2399, 3256, 295, 787, 382, 867, 2657, 2793, 382, 456, 366, 5310, 295, 5645, 294, 264, 20674, 1185, 37495, 22653, 19446, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 22807, 19446, 20449, 1863, 7578, 23758, 2423, 28820, 10943, 22807], "avg_logprob": -0.09912109685440858, "compression_ratio": 1.5665024630541873, "no_speech_prob": 0.0, "words": [{"start": 1163.65, "end": 1164.19, "word": "طبعا", "probability": 0.9320068359375}, {"start": 1164.19, "end": 1164.99, "word": " باستعمال", "probability": 0.96162109375}, {"start": 1164.99, "end": 1165.25, "word": " علم", "probability": 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We want to understand what degrees of freedom means. 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These are examples that we have explained. We will stop here this time, and next time, God willing, we will enter into the topic of first order optics and give you wellness and peace, and God's mercy and blessings.", "tokens": [2278, 18059, 294, 264, 20674, 1185, 11, 300, 307, 11, 264, 20674, 1185, 300, 575, 3866, 18059, 11, 1080, 3256, 3125, 307, 2946, 813, 498, 286, 632, 13366, 18059, 11, 813, 264, 18059, 13, 1981, 366, 5110, 300, 321, 362, 8825, 13, 492, 486, 1590, 510, 341, 565, 11, 293, 958, 565, 11, 1265, 4950, 11, 321, 486, 3242, 666, 264, 4829, 295, 700, 1668, 42599, 293, 976, 291, 23913, 293, 4336, 11, 293, 1265, 311, 13174, 293, 19296, 13], "avg_logprob": -0.41628087008440934, "compression_ratio": 1.7045454545454546, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1683.9, "end": 1684.18, "word": "The", "probability": 0.70751953125}, {"start": 1684.18, "end": 1684.62, "word": " lenses", "probability": 0.92041015625}, {"start": 1684.62, "end": 1684.82, "word": " in", "probability": 0.8779296875}, {"start": 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Stigmatic Imaging + +3 +00:00:08,310 --> 00:00:13,310 +Using Single Refracting Surface يعني الحصول على + +4 +00:00:13,310 --> 00:00:17,710 +Stigmatic Image صورة طبق الأصل أو صورة يعني غاية + +5 +00:00:17,710 --> 00:00:21,830 +في ال quality وغاية في الدقة وصورة طبق الأصل + +6 +00:00:21,830 --> 00:00:25,850 +باستعمال Single Refracting Surface يعني سطح واحد + +7 +00:00:25,850 --> 00:00:33,610 +فاصل بين مادتين By the early 1600s + +8 +00:00:33,610 --> 00:00:38,190 +century, the telescope and microscope had been + +9 +00:00:38,190 --> 00:00:38,690 +invented. + +10 +00:00:47,590 --> 00:00:50,630 +Although the images produced by early devices were + +11 +00:00:50,630 --> 00:00:53,730 +useful, their quality was not very high because + +12 +00:00:53,730 --> 00:00:57,700 +the lenses did not focus stigmatically.طبعا لما تم + +13 +00:00:57,700 --> 00:01:01,040 +اختراع ال telescope و ال microscope الصور اللي + +14 +00:01:01,040 --> 00:01:05,380 +كانت تعطيها هذه الأجهزة اللي هو في بداية اختراعها + +15 +00:01:05,380 --> 00:01:10,160 +كانت صور بنطلق عليها انها صور useful useful يعني + +16 +00:01:10,160 --> 00:01:17,180 +بتمشي الحالOr useful in a way, but the quality of + +17 +00:01:17,180 --> 00:01:21,220 +these pictures was not high enough Why? Because + +18 +00:01:21,220 --> 00:01:26,500 +the lenses used in making the telescope and the + +19 +00:01:26,500 --> 00:01:31,860 +microscope at that time did not focus or focus the + +20 +00:01:31,860 --> 00:01:35,240 +rays in a stigmatic way In other words, the + +21 +00:01:35,240 --> 00:01:37,340 +pictures of the points of the object were not just + +22 +00:01:37,340 --> 00:01:41,770 +pointsrather than point spread function and the + +23 +00:01:41,770 --> 00:01:45,030 +quality was not high. Do you know what is the + +24 +00:01:45,030 --> 00:01:48,510 +reason for this issue? At the time, lens makers + +25 +00:01:48,510 --> 00:01:52,130 +were not very particular about the shape of the + +26 +00:01:52,130 --> 00:01:55,570 +surfaces that were ground on the lens. I mean, + +27 +00:01:56,990 --> 00:02:02,770 +when the lens makers at that timethey didn't care + +28 +00:02:02,770 --> 00:02:05,790 +much about the mechanical shape of the surface of + +29 +00:02:05,790 --> 00:02:10,590 +the glass, whether it's oval, spherical, or curved + +30 +00:02:10,590 --> 00:02:15,310 +in a certain way, but rather they cared more about + +31 +00:02:15,310 --> 00:02:16,870 +the smoothness of the surface, there's a + +32 +00:02:16,870 --> 00:02:19,460 +difference between having a polished surfacehe + +33 +00:02:19,460 --> 00:02:23,820 +polished it well and made sure that it has a + +34 +00:02:23,820 --> 00:02:27,300 +certain mechanical shape, egg-shaped, ball-shaped, + +35 +00:02:28,000 --> 00:02:33,080 +etc. So, the lenses manufacturers at that time + +36 +00:02:33,080 --> 00:02:36,580 +were not interested in this topic, but they + +37 +00:02:36,580 --> 00:02:39,780 +thoughtOr they had a principle that any curved + +38 +00:02:39,780 --> 00:02:46,060 +surface could give them an image It seemed that + +39 +00:02:46,060 --> 00:02:49,940 +any curved surface produced an image It's true + +40 +00:02:49,940 --> 00:02:56,840 +that any curved surface of glassHe can give me a + +41 +00:02:56,840 --> 00:02:59,400 +picture, why can he give me a picture? Because the + +42 +00:02:59,400 --> 00:03:01,820 +light when it falls from the air to penetrate this + +43 +00:03:01,820 --> 00:03:05,060 +curved surface, even if it is a curved and + +44 +00:03:05,060 --> 00:03:07,740 +irregular surface in its curvature, part of the + +45 +00:03:07,740 --> 00:03:10,960 +light that fell from the air towards the glass + +46 +00:03:10,960 --> 00:03:14,260 +will reflect towards the eye of the person looking + +47 +00:03:14,260 --> 00:03:16,880 +at the view, and therefore he will see a picture, + +48 +00:03:16,960 --> 00:03:19,800 +but the quality of this picture will of course be + +49 +00:03:19,800 --> 00:03:24,010 +low, it will be lowIt seemed that any curved + +50 +00:03:24,010 --> 00:03:28,390 +surface produced an image, so lens surfaces were + +51 +00:03:28,390 --> 00:03:32,330 +carefully polished but haphazardly shaped عشان هيك + +52 +00:03:32,330 --> 00:03:35,430 +هما ماكانوش مهتمين بالشكل إنما كانوا مهتمين بال + +53 +00:03:35,430 --> 00:03:38,870 +polishing يعني عملية التنعيم للسطح المهم إنه يكون + +54 +00:03:38,870 --> 00:03:44,240 +سطح منحني و خلاص حتى لو كان انحناقه مش منتظمSo, + +55 +00:03:44,600 --> 00:03:48,000 +they were not asking about the shape, so any shape + +56 +00:03:48,000 --> 00:03:50,140 +that came up with them, they would reject it and + +57 +00:03:50,140 --> 00:03:52,460 +they would just say yes to this surface and that's + +58 +00:03:52,460 --> 00:03:57,220 +it However, as ideas such as stigmatic imaging and + +59 +00:03:57,220 --> 00:04:00,780 +Snell's law developed, it became clear that the + +60 +00:04:00,780 --> 00:04:04,180 +shape of the lens surfaces determined the quality + +61 +00:04:04,180 --> 00:04:08,220 +of the image As soon as it startedThe ideas of + +62 +00:04:08,220 --> 00:04:11,780 +scientists are aimed at getting stigmatic imaging, + +63 +00:04:12,340 --> 00:04:15,140 +to get the original image and improve the quality + +64 +00:04:15,140 --> 00:04:18,500 +of the image, and as soon as they discovered the + +65 +00:04:18,500 --> 00:04:21,380 +law of contraction, which is Snell's law, it + +66 +00:04:21,380 --> 00:04:23,680 +became that there are two new things in the + +67 +00:04:23,680 --> 00:04:26,380 +scientific community at that time, the idea that + +68 +00:04:26,380 --> 00:04:30,010 +we want to get stigmatic imagingAnd another thing + +69 +00:04:30,010 --> 00:04:33,390 +is that when the law of friction was proven and + +70 +00:04:33,390 --> 00:04:36,850 +proved by the scientist Snell, it became clear + +71 +00:04:36,850 --> 00:04:39,950 +that the shape of the lens surfaces determines the + +72 +00:04:39,950 --> 00:04:43,490 +quality of the image. It became clear that not + +73 +00:04:43,490 --> 00:04:46,730 +only polishing is what is necessary, but what is + +74 +00:04:46,730 --> 00:04:52,530 +more important than polishing is that it must have + +75 +00:04:52,530 --> 00:04:55,410 +a specific shape because there are certain shapes + +76 +00:04:56,200 --> 00:05:00,000 +It produces image quality much higher than other + +77 +00:05:00,000 --> 00:05:03,020 +forms, so the shape or shape or the nature of the + +78 +00:05:03,020 --> 00:05:06,900 +curve, whether it's curved, oval, curved, whether + +79 +00:05:06,900 --> 00:05:08,940 +it's like this, whether it's like that, became + +80 +00:05:08,940 --> 00:05:12,620 +that it has a great importance in image quality + +81 +00:05:12,620 --> 00:05:16,880 +and improving image qualityIn the 17th century, + +82 +00:05:18,300 --> 00:05:22,220 +lens makers began to carefully shape the lens + +83 +00:05:22,220 --> 00:05:25,700 +surface in order to improve image quality. In + +84 +00:05:25,700 --> 00:05:28,320 +addition to what they used to do before, from + +85 +00:05:28,320 --> 00:05:33,640 +perfectly smoothing the surface of the lens at the + +86 +00:05:33,640 --> 00:05:39,280 +beginning of the 17th century and towards the end + +87 +00:05:39,280 --> 00:05:44,020 +of theThe manufacturers of lenses started to make + +88 +00:05:44,020 --> 00:05:50,820 +specific shapes for the lens surface to give me or + +89 +00:05:50,820 --> 00:05:55,840 +improve my image quality Now they had a very + +90 +00:05:55,840 --> 00:05:59,620 +simple and very important question The following + +91 +00:05:59,620 --> 00:06:03,740 +question arose I had a question What service + +92 +00:06:03,740 --> 00:06:07,360 +produces the best image? Now it is agreed that we + +93 +00:06:07,360 --> 00:06:12,140 +..There are ideas that the shape of the lens, the + +94 +00:06:12,140 --> 00:06:15,540 +mechanical shape of the surface of the lens is + +95 +00:06:15,540 --> 00:06:17,840 +very important in the subject of image quality + +96 +00:06:17,840 --> 00:06:22,460 +Well, you see, any mechanical shape is the best + +97 +00:06:22,460 --> 00:06:26,800 +and will produce the best image quality, the best + +98 +00:06:26,800 --> 00:06:30,640 +image qualityThe scientist Descartes came at that + +99 +00:06:30,640 --> 00:06:34,700 +time and applied the Fermat principle to the + +100 +00:06:34,700 --> 00:06:38,420 +simplest situation possible, a single refracting + +101 +00:06:38,420 --> 00:06:42,380 +surface The scientist Descartes, René Descartes, + +102 +00:06:42,820 --> 00:06:45,340 +applied the Fermat principle, the principle of + +103 +00:06:45,340 --> 00:06:47,600 +Fermat that we talked about in previous lectures, + +104 +00:06:48,520 --> 00:06:52,720 +to the simplest subject or the simplest lens, + +105 +00:06:52,940 --> 00:06:56,100 +let's say, or the simplest flat surface for light + +106 +00:06:56,100 --> 00:06:59,950 +What is the simplest surface?single refracting + +107 +00:06:59,950 --> 00:07:03,070 +service single refracting service كيف يعني single + +108 +00:07:03,070 --> 00:07:09,370 +refracting service لو اجينا احنا نظرنا للمنظر اللي + +109 +00:07:09,370 --> 00:07:14,710 +انا بده العدسة هلها دي أبسط شئ لأ ليش لإن انا + +110 +00:07:14,710 --> 00:07:18,630 +مكورة من سطحين سطح أمامي و سطح خالفي فDescartes + +111 +00:07:18,630 --> 00:07:22,510 +قال لأ احنا بدنا نختارrefracting service should + +112 +00:07:22,510 --> 00:07:25,550 +consist of one service only, there is no other, + +113 +00:07:25,770 --> 00:07:27,970 +there is no such thing as a front surface and a + +114 +00:07:27,970 --> 00:07:30,250 +back surface and we want to get the simplest + +115 +00:07:30,250 --> 00:07:34,930 +object which is single or single object point, + +116 +00:07:35,010 --> 00:07:39,350 +single object point, therefore simplest .. + +117 +00:07:39,350 --> 00:07:44,910 +simplest ..A camera is a single refracting service + +118 +00:07:44,910 --> 00:07:49,170 +and what we mean by that is a glass rod I'm not + +119 +00:07:49,170 --> 00:07:52,630 +drawing a full glass rod here, but I'm drawing the + +120 +00:07:52,630 --> 00:07:54,670 +part that we're going to use in the formation of a + +121 +00:07:54,670 --> 00:07:57,130 +picture This is a single refracting service and + +122 +00:07:57,130 --> 00:07:59,950 +this is an object pointThe light spread from it in + +123 +00:07:59,950 --> 00:08:04,750 +all directions. Part of this light entered the + +124 +00:08:04,750 --> 00:08:07,590 +single refracting surface, penetrated the glass + +125 +00:08:07,590 --> 00:08:10,910 +and formed a picture inside the glass. This is the + +126 +00:08:10,910 --> 00:08:13,250 +simplest camera possible. There can be nothing + +127 +00:08:13,250 --> 00:08:15,590 +simpler than that. There can be nothing simpler + +128 +00:08:15,590 --> 00:08:17,970 +than that when it comes to the transition of light + +129 +00:08:17,970 --> 00:08:20,690 +from one substance to another that differs from it + +130 +00:08:20,690 --> 00:08:24,050 +in the refractive index. So + +131 +00:08:26,890 --> 00:08:30,110 +Descartes applied the Fermat principle to the + +132 +00:08:30,110 --> 00:08:33,170 +simplest situation possible, meaning the simplest + +133 +00:08:33,170 --> 00:08:36,230 +possible situation is to have a single refractive + +134 +00:08:36,230 --> 00:08:41,170 +surface, which is a single object point and a long + +135 +00:08:41,170 --> 00:08:44,710 +glass rod. Why a long glass rod? So that the image + +136 +00:08:44,710 --> 00:08:47,430 +is formed inside the glass. It can be difficult + +137 +00:08:47,430 --> 00:08:49,350 +for a person to understand how the image is formed + +138 +00:08:49,350 --> 00:08:51,630 +inside the glass. Is this possible? Of course this + +139 +00:08:51,630 --> 00:08:56,310 +is possible.وبيحدث في حياتنا كثيرا يعني كل إنسان + +140 +00:08:56,310 --> 00:09:00,510 +عنده myopia ..كل إنسان عنده myopia قصر نظر لو + +141 +00:09:00,510 --> 00:09:04,210 +مالبسش النضارات بتاعته الصورة عنده بتتكون أمام + +142 +00:09:04,210 --> 00:09:07,210 +الشبكة إيش يعني أمام الشبكة يعني في السائل الزجاجي + +143 +00:09:07,210 --> 00:09:10,550 +يعني داخل ال gel اللي بنسميه ال vitreous أو السائل + +144 +00:09:10,550 --> 00:09:14,790 +الزجاجي زي ما اتكونت الصورة في ال myopic eye داخل + +145 +00:09:14,790 --> 00:09:18,600 +ال gel أو داخل ال vitreous يعني قبل ال retinaايضا + +146 +00:09:18,600 --> 00:09:22,080 +ممكن الصورة تتكون داخل ال glass زي ما الصورة عندي + +147 +00:09:22,080 --> 00:09:25,340 +هنا بتوضح، زي ما الصورة عندي هنا بتوضح، اذا + +148 +00:09:25,340 --> 00:09:30,180 +consider a single object point and a long glass + +149 +00:09:30,180 --> 00:09:34,270 +road، هاي أنا عندي single object pointI have a + +150 +00:09:34,270 --> 00:09:36,410 +long glass rod, not drawn or anything like that, + +151 +00:09:36,510 --> 00:09:39,390 +we are drawing the part where the picture will be + +152 +00:09:39,390 --> 00:09:41,790 +formed, which is marked with the symbol I, and + +153 +00:09:41,790 --> 00:09:45,190 +this is enough to clarify the idea Now, what will + +154 +00:09:45,190 --> 00:09:49,610 +Descartes and the team of researchers with him do? + +155 +00:09:49,790 --> 00:09:54,390 +They want to start playing or changing the shapes + +156 +00:09:54,390 --> 00:09:58,660 +ofالسطح هذا ال refracting surface هذا مرة يخليه + +157 +00:09:58,660 --> 00:10:04,380 +كروي مرة ينحطه بشكل بيضاوي مرة ينحطه بشكل مخروطي و + +158 +00:10:04,380 --> 00:10:08,440 +مرة ينحطه بشكل يعني جميع الأشكال الهندسية اللي هو + +159 +00:10:08,440 --> 00:10:12,320 +يعني عايز هذا يعني بمعنى أخر أنه بدنا نغير ال + +160 +00:10:12,320 --> 00:10:16,620 +shape بدنا نغير ال shape يعني الشكلطيب، إيش حصل مع + +161 +00:10:16,620 --> 00:10:21,600 +Rene Descartes، بنقول، Descartes realized that if + +162 +00:10:21,600 --> 00:10:25,420 +the end of the road was configured in a nearly + +163 +00:10:25,420 --> 00:10:29,880 +elliptical shape, a stigmatic image would form in + +164 +00:10:29,880 --> 00:10:30,320 +the glass + +165 +00:10:33,170 --> 00:10:38,130 +بننحطه و بنخلي شكله شبه بيضاوي, nearly elliptical, + +166 +00:10:38,510 --> 00:10:43,130 +nearly elliptical shape ساعتها stigmatic image لل + +167 +00:10:43,130 --> 00:10:46,670 +object point، لل object point، هذه ال object + +168 +00:10:46,670 --> 00:10:51,850 +point، هيتكون لها stigmatic image داخل ال glass + +169 +00:10:51,850 --> 00:10:56,030 +road، داخل ال glass road، يعني الأشعة، الأشعة كلها + +170 +00:10:56,030 --> 00:11:00,690 +هتتجمع في نقطة واحدة، إذا كان الشكل هنا، شكل السطح + +171 +00:11:00,690 --> 00:11:06,270 +شبه بيضاويWhat did René Descartes do next? René + +172 +00:11:06,270 --> 00:11:09,790 +Descartes went to the place where the stigmatic + +173 +00:11:09,790 --> 00:11:12,950 +image was formed and cut the glass rod from there + +174 +00:11:12,950 --> 00:11:18,110 +and brought a glass rod similar in size to him and + +175 +00:11:18,110 --> 00:11:23,810 +stuck it in the back part of the first glass rod + +176 +00:11:24,800 --> 00:11:28,460 +this image, this image where the light is gathered + +177 +00:11:28,460 --> 00:11:31,780 +in a point shape and then it started again, it + +178 +00:11:31,780 --> 00:11:34,720 +became a divergence facing the other surface which + +179 +00:11:34,720 --> 00:11:38,540 +is also nearly elliptical. So why did Descartes do + +180 +00:11:38,540 --> 00:11:41,820 +such a thing? He did it to get a stigmatic image + +181 +00:11:41,820 --> 00:11:43,500 +in the vacuum, he didn't want to be humiliated in + +182 +00:11:43,500 --> 00:11:47,360 +the glass road. So this primary image became a + +183 +00:11:47,360 --> 00:11:51,560 +body that emits light and consequently when we + +184 +00:11:51,560 --> 00:11:56,140 +pass through the light froma new glass rode which + +185 +00:11:56,140 --> 00:11:58,660 +has the same characteristics and length which is + +186 +00:11:58,660 --> 00:12:04,460 +nearly elliptical and here it is almost elliptical + +187 +00:12:04,460 --> 00:12:07,120 +the light from the first image which was + +188 +00:12:07,120 --> 00:12:10,040 +considered as if it was a body was scattered and + +189 +00:12:10,040 --> 00:12:12,940 +then broke through the single refracting surface + +190 +00:12:12,940 --> 00:12:16,520 +here and collected and the image was printed on + +191 +00:12:16,520 --> 00:12:19,380 +the printing paper and the image was really + +192 +00:12:19,380 --> 00:12:23,850 +stigmaticعندي intermediate image, stigmatic, + +193 +00:12:23,930 --> 00:12:27,190 +stigmatic يعني طبق الأصل من ال object و final + +194 +00:12:27,190 --> 00:12:31,590 +image اللي هي الصورة الأخيرة أيضا stigmatic بمعنى + +195 +00:12:31,590 --> 00:12:38,050 +صورة طبق الصورة طبق الأصل Descartes realized or + +196 +00:12:38,050 --> 00:12:41,350 +Descartes realized that if the end of the road was + +197 +00:12:41,350 --> 00:12:44,930 +configured in a nearly elliptical shape هذه هو + +198 +00:12:44,930 --> 00:12:48,940 +الشكل هذه هو الشكل اللي هيطيني stigmatic imagea + +199 +00:12:48,940 --> 00:12:52,620 +stigmatic image would form in the glass, this + +200 +00:12:52,620 --> 00:12:57,520 +shape .. هذا .. هذا المنظر glass rod و الحفة + +201 +00:12:57,520 --> 00:13:02,460 +بتاعته منحوطة بشكل .. منحوطة بشكل .. تتاخد شكل شبه + +202 +00:13:02,460 --> 00:13:07,800 +بيضاوي، هذا أصبح يسمى Cartesian ellipsoid أو + +203 +00:13:07,800 --> 00:13:11,160 +Cartesian conoid أو Cartesian conoid، اذا + +204 +00:13:11,160 --> 00:13:17,590 +Cartesian ellipsoid أو Cartesian conoidبعض القراء + +205 +00:13:17,590 --> 00:13:20,790 +أو بعض الطلبة may be troubled by the fact that the + +206 +00:13:20,790 --> 00:13:25,170 +image forms in glass instead of air, but this is + +207 +00:13:25,170 --> 00:13:29,410 +not a problem. After all, in a myopic eye, the + +208 +00:13:29,410 --> 00:13:34,050 +image forms in the vitreous, and in an amyotropic + +209 +00:13:34,050 --> 00:13:37,920 +eye it forms on the retina.In other words, the + +210 +00:13:37,920 --> 00:13:44,660 +myopic person's image is formed in the vitreous + +211 +00:13:44,660 --> 00:13:52,320 +gel. Also, the immature person's image is formed + +212 +00:13:52,320 --> 00:13:57,140 +on the retina, which is also not in the air. + +213 +00:14:01,620 --> 00:14:05,600 +Once a stigmatic image is produced, the rod is cut + +214 +00:14:05,600 --> 00:14:08,560 +and a second Cartesian ellipsoid placed on the + +215 +00:14:08,560 --> 00:14:11,740 +back surface. As the following picture shows, + +216 +00:14:14,220 --> 00:14:20,440 +I have a stigmatic image inside the glass. Now we + +217 +00:14:20,440 --> 00:14:22,520 +cut from the stigmatic image and put another + +218 +00:14:22,520 --> 00:14:26,360 +Cartesian ellipsoid with the same dimensions on + +219 +00:14:26,360 --> 00:14:31,670 +the back surface of the first Cartesian conoid.The + +220 +00:14:31,670 --> 00:14:34,110 +final image that we will receive in the air is + +221 +00:14:34,110 --> 00:14:38,030 +also stigmatic Okay, excellent, so we solved the + +222 +00:14:38,030 --> 00:14:42,590 +problem of stigmatic imaging And we can get a + +223 +00:14:42,590 --> 00:14:48,190 +stigmatic image of any object we want The truth is + +224 +00:14:48,190 --> 00:14:51,970 +that this is not correct Why is it not correct? + +225 +00:14:52,050 --> 00:14:56,790 +Because we used the simplest object and the + +226 +00:14:56,790 --> 00:14:59,490 +simplest camera The simplest object is a single + +227 +00:14:59,490 --> 00:15:03,320 +object pointAnd the simplest camera is a single + +228 +00:15:03,320 --> 00:15:06,620 +refracting service. You may remember the first + +229 +00:15:06,620 --> 00:15:08,720 +lecture that said that the simplest camera is a + +230 +00:15:08,720 --> 00:15:10,360 +pinhole camera. But we said that the pinhole + +231 +00:15:10,360 --> 00:15:16,220 +camera cannot be used because its pictures are too + +232 +00:15:16,220 --> 00:15:18,060 +faint to be useful. Meaning that it is too faint + +233 +00:15:18,060 --> 00:15:24,780 +to be useful. So the + +234 +00:15:24,780 --> 00:15:29,370 +solution to the problem is no.one point or if the + +235 +00:15:29,370 --> 00:15:33,490 +body is one point then the Cartesian ellipsoid + +236 +00:15:33,490 --> 00:15:37,890 +produces a stigmatic image of only one object + +237 +00:15:37,890 --> 00:15:41,090 +point and the rest of the points all other object + +238 +00:15:41,090 --> 00:15:45,590 +points image non-stigmatically if the object for + +239 +00:15:45,590 --> 00:15:49,670 +example consists of ten points of course the + +240 +00:15:49,670 --> 00:15:52,250 +object consists of an infinite number of points + +241 +00:15:52,250 --> 00:15:56,130 +but we imagine that the object consists of ten + +242 +00:15:56,130 --> 00:16:02,020 +pointsOne of these points will have a stigmatic + +243 +00:16:02,020 --> 00:16:04,140 +picture and the other nine will be non-stigmatic, + +244 +00:16:04,260 --> 00:16:06,460 +which means it's a point spread function One might + +245 +00:16:06,460 --> 00:16:09,900 +say, well, what did we gain from all this work of + +246 +00:16:09,900 --> 00:16:14,120 +Descartes? Descartes put the feet of scientists at + +247 +00:16:14,120 --> 00:16:18,530 +the beginning of our journeyin terms of getting a + +248 +00:16:18,530 --> 00:16:21,210 +stigmatic image ..in terms of getting a stigmatic + +249 +00:16:21,210 --> 00:16:24,470 +image ..it is true that the formation ..the + +250 +00:16:24,470 --> 00:16:27,110 +formation of a glass rod in a nearly elliptical + +251 +00:16:27,110 --> 00:16:31,550 +shape leads to one object point ..only one object + +252 +00:16:31,550 --> 00:16:35,330 +point being stigmatic and the rest not ..but as + +253 +00:16:35,330 --> 00:16:38,130 +long as we get one point that is stigmatic it + +254 +00:16:38,130 --> 00:16:41,210 +means that we started to walk on the beginning of + +255 +00:16:41,210 --> 00:16:46,130 +the road to get ..Stigmatic imaging of other + +256 +00:16:46,130 --> 00:16:51,290 +object points. The Cartesian ellipsoid produces a + +257 +00:16:51,290 --> 00:16:55,450 +stigmatic image of only one object point. All + +258 +00:16:55,450 --> 00:16:58,350 +other object points image non-stigmatically. + +259 +00:17:01,700 --> 00:17:06,960 +في نقطة تانية او صعوبة تانية واجهت العلماء في ذلك + +260 +00:17:06,960 --> 00:17:11,800 +الزمن انه لغاية 1960 لعصرنا الحالي او للقرن + +261 +00:17:11,800 --> 00:17:16,780 +العشرين لبعد منتصف القرن العشرين 1960 يعني تقريبا + +262 +00:17:16,780 --> 00:17:22,520 +من ستين سنة من ستين سنة بالضبط it was impossibleto + +263 +00:17:22,520 --> 00:17:36,420 +manufacture a Cartesian ellipsoid. The only + +264 +00:17:36,420 --> 00:17:39,520 +surfaces that could be accurately figured were + +265 +00:17:39,520 --> 00:17:43,700 +spheres, cylinders, spherocylinders and flats. + +266 +00:17:44,280 --> 00:17:47,940 +Now, aspheric surfaces are relatively easy to + +267 +00:17:47,940 --> 00:17:48,400 +manufacture. + +268 +00:17:52,390 --> 00:17:56,530 +The rectangular shapes, the rectangular spherical + +269 +00:17:56,530 --> 00:18:03,640 +shapes, and the flat shapes.As for manufacturing + +270 +00:18:03,640 --> 00:18:07,400 +Cartesian ellipsoids and manufacturing them + +271 +00:18:07,400 --> 00:18:09,540 +artificially in large quantities in order to + +272 +00:18:09,540 --> 00:18:12,980 +distribute them for practical use, of course this + +273 +00:18:12,980 --> 00:18:15,560 +was almost impossible ..almost impossible + +274 +00:18:32,640 --> 00:18:37,840 +بشكل سهل جدا و ال computer ممكن هو اللي يشرف على + +275 +00:18:37,840 --> 00:18:42,300 +القضية تقصها و تنتج بشكل صناعي بسهولة شديدة، + +276 +00:18:42,300 --> 00:18:49,020 +بسهولة شديدة بدون تدخل يد الإنسان The + +277 +00:18:49,020 --> 00:18:52,500 +cart established that a single refracting surface + +278 +00:18:52,500 --> 00:18:56,020 +could at best produce a stigmatic image of only + +279 +00:18:56,020 --> 00:19:00,080 +one object pointThe scholar René Descartes reached + +280 +00:19:00,080 --> 00:19:03,600 +to a rule that if I have one refracting service, + +281 +00:19:03,760 --> 00:19:08,560 +single refracting service, and I shaped it in the + +282 +00:19:08,560 --> 00:19:11,340 +best possible way or in the most appropriate way, + +283 +00:19:12,040 --> 00:19:15,180 +the maximum that this single refracting service + +284 +00:19:15,180 --> 00:19:18,580 +has is to make a stigmatic image for only one + +285 +00:19:18,580 --> 00:19:22,260 +point. Okay, I want more than one point to have a + +286 +00:19:22,260 --> 00:19:26,330 +stigmatic imageطبعا باستعمال علم الرياضيات by + +287 +00:19:26,330 --> 00:19:30,070 +means of mathematics it has been demonstrated that + +288 +00:19:30,070 --> 00:19:34,650 +an optical system can produce a stigmatic image of + +289 +00:19:34,650 --> 00:19:38,710 +only as many object points as there are degrees of + +290 +00:19:38,710 --> 00:19:42,650 +freedom in the optical system يعني ما معنى هذا + +291 +00:19:42,650 --> 00:19:48,160 +الكلام؟ ما معنى هذا الكلام؟Now, before we say the + +292 +00:19:48,160 --> 00:19:49,360 +meaning of this word, let's go back to the + +293 +00:19:49,360 --> 00:19:52,480 +previous sentence, Descartes reached a base, that + +294 +00:19:52,480 --> 00:19:56,400 +if I have a single refractive surface, I can get + +295 +00:19:56,400 --> 00:20:00,120 +from the single refractive surface on one object + +296 +00:20:00,120 --> 00:20:04,770 +point that its shape is stigmaticI get the object + +297 +00:20:04,770 --> 00:20:07,030 +points, I get the point of the object, it's not + +298 +00:20:07,030 --> 00:20:10,610 +possible because I have a chance to get one point + +299 +00:20:10,610 --> 00:20:14,110 +on a picture like the original And I get the point + +300 +00:20:14,110 --> 00:20:16,150 +of the object, it's not possible, why? Because I + +301 +00:20:16,150 --> 00:20:19,610 +have single refracting surface, single refracting + +302 +00:20:19,610 --> 00:20:23,120 +surfaceNow, by using mathematical science, + +303 +00:20:24,060 --> 00:20:28,100 +scientists proved that any optical system .. any + +304 +00:20:28,100 --> 00:20:32,600 +optical system .. will give me a stigmatic image + +305 +00:20:32,600 --> 00:20:35,520 +of the number of points of the object as much as + +306 +00:20:35,520 --> 00:20:36,540 +there are degrees of freedom in this optical + +307 +00:20:36,540 --> 00:20:41,020 +systemWe want to understand what degrees of + +308 +00:20:41,020 --> 00:20:43,140 +freedom means. We want to understand what degrees + +309 +00:20:43,140 --> 00:20:46,260 +of freedom means. We repeat, we say if I have an + +310 +00:20:46,260 --> 00:20:50,020 +optical system scene and another optical system + +311 +00:20:50,020 --> 00:20:53,540 +shot, and the optical system scene has degrees of + +312 +00:20:53,540 --> 00:20:57,740 +freedom more than the optical system shot, then + +313 +00:20:57,740 --> 00:21:01,760 +the optical system scene will give me a stigmatic + +314 +00:21:01,760 --> 00:21:04,300 +image for the number of points of the object more + +315 +00:21:04,300 --> 00:21:09,790 +than what the optical system shot gives me.Okay, + +316 +00:21:09,970 --> 00:21:12,970 +what is meant by degrees of freedom here? Of + +317 +00:21:12,970 --> 00:21:14,950 +course, what is meant is not the political freedom + +318 +00:21:14,950 --> 00:21:18,530 +that we hear about But degrees of freedom means + +319 +00:21:18,530 --> 00:21:22,110 +how much I am free to change the characteristics + +320 +00:21:22,110 --> 00:21:24,810 +of the optical system Also, we want to understand + +321 +00:21:24,810 --> 00:21:29,510 +more, we say I have one lens with two surfaces One + +322 +00:21:29,510 --> 00:21:34,950 +lens with two surfaces Let's see this drawing We + +323 +00:21:34,950 --> 00:21:38,080 +will take this lens onlyWhat are the attributes + +324 +00:21:38,080 --> 00:21:41,560 +that I can change in the lens? I can change the + +325 +00:21:41,560 --> 00:21:44,180 +shape and tilt of the surface in front of me, this + +326 +00:21:44,180 --> 00:21:46,440 +is the first degree of freedom I have, which means + +327 +00:21:46,440 --> 00:21:50,100 +I am free to change it or tilt it in a certain way + +328 +00:21:50,100 --> 00:21:54,300 +Second thing, the back surface, I can change its + +329 +00:21:54,300 --> 00:21:56,460 +shape and tilt it, so I have two degrees of + +330 +00:21:56,460 --> 00:22:02,450 +freedom Third thing, third thingالسمك .. السمك + +331 +00:22:02,450 --> 00:22:06,510 +بتاع العدسة فأقدر أخليها سميكة، أرفع شويه، + +332 +00:22:06,510 --> 00:22:10,290 +أرفيعها، إذا برضه .. برضه عندي درجة أو عندي مجال + +333 +00:22:10,290 --> 00:22:13,970 +من الحرية إن أنا أغير السمك بتاع العدسة، إذا هذه + +334 +00:22:13,970 --> 00:22:18,810 +عدسة لها تلت درجات حرية، إذا هذه بتقدر تعطيني + +335 +00:22:18,810 --> 00:22:24,550 +تلاتة points، تلاتة pointsOr more than the + +336 +00:22:24,550 --> 00:22:27,270 +stigmatic imaging, than the stigmatic imaging I + +337 +00:22:27,270 --> 00:22:31,690 +mean if the single refracting service gave me, + +338 +00:22:31,770 --> 00:22:35,270 +because it's single, gave me only a stigmatic + +339 +00:22:35,270 --> 00:22:37,250 +picture for one object point and the rest of the + +340 +00:22:37,250 --> 00:22:42,510 +object points were not stigmatic pictures, while I + +341 +00:22:42,510 --> 00:22:47,990 +haveA single lens has three degrees of freedom. + +342 +00:22:48,650 --> 00:22:51,090 +What are these three degrees of freedom? The front + +343 +00:22:51,090 --> 00:22:55,170 +surface, I can control its shape, change it, bend + +344 +00:22:55,170 --> 00:22:57,890 +it in one way, then change it in another way until + +345 +00:22:57,890 --> 00:23:03,650 +I get a stigmatic image to one point. The back + +346 +00:23:03,650 --> 00:23:06,890 +surface to another point, I can change it. The + +347 +00:23:06,890 --> 00:23:11,370 +thickness, I can control it until it gives me a + +348 +00:23:11,370 --> 00:23:16,220 +third point. So, onesingle lens and have three + +349 +00:23:16,220 --> 00:23:17,880 +degrees of freedom + +350 +00:23:21,800 --> 00:23:24,820 +Two lenses, two lenses, as the drawing here shows, + +351 +00:23:25,320 --> 00:23:27,920 +I have two lenses. How many degrees of freedom do + +352 +00:23:27,920 --> 00:23:30,600 +I have? I have seven degrees of freedom. What are + +353 +00:23:30,600 --> 00:23:34,200 +they? The front surface and the back surface, I + +354 +00:23:34,200 --> 00:23:36,660 +can control their shape and thickness. These are + +355 +00:23:36,660 --> 00:23:40,200 +three. And here also three, six. So why did we say + +356 +00:23:40,200 --> 00:23:43,420 +seven? Because I can also control the distance + +357 +00:23:43,420 --> 00:23:46,820 +between the two lenses. These two lenses together, + +358 +00:23:47,020 --> 00:23:51,200 +optical system oneSo I have three degrees of + +359 +00:23:51,200 --> 00:23:53,860 +freedom here, and three, this is six, and the + +360 +00:23:53,860 --> 00:23:57,740 +seventh that I can control, which is what? The + +361 +00:23:57,740 --> 00:24:00,980 +distance between them We notice some press cameras + +362 +00:24:00,980 --> 00:24:06,140 +in conferences and similarYou can .. or you find + +363 +00:24:06,140 --> 00:24:10,160 +that the camera is extended forward, some people + +364 +00:24:10,160 --> 00:24:11,520 +or some journalists say that they are doing + +365 +00:24:11,520 --> 00:24:14,040 +zooming, they are doing zooming From the concept + +366 +00:24:14,040 --> 00:24:16,180 +of geometrical optics, we say that it is extended + +367 +00:24:16,180 --> 00:24:19,140 +forward to make a greater distance between the + +368 +00:24:19,140 --> 00:24:24,020 +lenses, why? To get a higher image quality, to get + +369 +00:24:24,020 --> 00:24:28,330 +a higher image qualityNow, how will the journalist + +370 +00:24:28,330 --> 00:24:31,150 +know that he got a higher image quality when he + +371 +00:24:31,150 --> 00:24:33,530 +sees that his image is clearer and more obvious + +372 +00:24:33,530 --> 00:24:39,570 +and it becomes to a higher degree of clarity? Some + +373 +00:24:39,570 --> 00:24:42,590 +cameras don't even wait for the journalist to + +374 +00:24:42,590 --> 00:24:45,710 +change the distance of the lenses from each other, + +375 +00:24:45,750 --> 00:24:51,540 +but they do this automaticallyThe proof that I can + +376 +00:24:51,540 --> 00:24:54,660 +control the distance is that these are two lenses + +377 +00:24:54,660 --> 00:24:57,140 +connected to each other, so the distance between + +378 +00:24:57,140 --> 00:24:59,920 +them is zero, while these two lenses have a + +379 +00:24:59,920 --> 00:25:01,940 +certain distance between them, I can try them, I + +380 +00:25:01,940 --> 00:25:03,620 +can distance them, so this is one degree of + +381 +00:25:03,620 --> 00:25:08,610 +freedom degrees. A person may wonder why I putThis + +382 +00:25:08,610 --> 00:25:14,090 +picture, this picture is about a bed that needs to + +383 +00:25:14,090 --> 00:25:17,170 +be moved to another house or something similar We + +384 +00:25:17,170 --> 00:25:20,590 +say that if we ask one person, because you see + +385 +00:25:20,590 --> 00:25:26,890 +that he carries two people, one person to carry + +386 +00:25:26,890 --> 00:25:29,710 +the bed, he will find it difficult because it is + +387 +00:25:29,710 --> 00:25:34,930 +big and has floors, I mean, toilets and pillows + +388 +00:25:34,930 --> 00:25:39,960 +and so onNow if we ask .. of course he is one + +389 +00:25:39,960 --> 00:25:42,440 +person, he has both hands, so he has two degrees + +390 +00:25:42,440 --> 00:25:46,140 +of freedom to control and hold with both hands If + +391 +00:25:46,140 --> 00:25:48,360 +we add another person, the situation becomes + +392 +00:25:48,360 --> 00:25:52,920 +easier, I have four degrees or four working hands, + +393 +00:25:53,340 --> 00:25:56,340 +four working hands If we bring a third person, we + +394 +00:25:56,340 --> 00:25:58,930 +say to him, hold these tools with your handsIt + +395 +00:25:58,930 --> 00:26:02,690 +will be easier and easier. If we bring a fourth + +396 +00:26:02,690 --> 00:26:04,710 +person, it will be easier. That is, the more the + +397 +00:26:04,710 --> 00:26:08,450 +number of working hands, the easier it is to carry + +398 +00:26:08,450 --> 00:26:11,610 +out the mission without any problems. And also, + +399 +00:26:11,850 --> 00:26:15,310 +the more lenses we have, the more freedom I have. + +400 +00:26:17,240 --> 00:26:19,640 +and therefore I have more quality of the picture + +401 +00:26:19,640 --> 00:26:22,980 +because the more degrees of freedom I have, the + +402 +00:26:22,980 --> 00:26:28,920 +more points I can get from the object on a + +403 +00:26:28,920 --> 00:26:32,320 +stigmatic image in the picture Stigmatic image + +404 +00:26:32,320 --> 00:26:37,220 +means that these object points are points Let's go + +405 +00:26:37,220 --> 00:26:39,280 +to the optical system here in the drawing, let's + +406 +00:26:39,280 --> 00:26:43,400 +say how many lenses are there? One, two, three, + +407 +00:26:43,900 --> 00:26:48,810 +four, fiveكل عدسة إلها تلت درجات حرية، سطحها + +408 +00:26:48,810 --> 00:26:52,230 +الأمامي و سطحها الخالفي و السمك بتاعها، بغض النظر + +409 +00:26:52,230 --> 00:26:56,810 +العدسة محددة أو مقعرة، إذا عندي خمس عدسات في تلت + +410 +00:26:56,810 --> 00:27:01,290 +درجات حرية، إذا عندي خمستاشر درجة حرية زائد، كام + +411 +00:27:01,290 --> 00:27:05,970 +مسافة بينهم هاي مسافة؟ تنتين، تلاتة، أربع، خمستاشر + +412 +00:27:05,970 --> 00:27:11,180 +درجة حرية زائدplus four degrees or four distances + +413 +00:27:11,180 --> 00:27:13,980 +between them, so I have nineteen degrees of + +414 +00:27:13,980 --> 00:27:19,500 +freedom, nineteen opportunities of freedom or + +415 +00:27:19,500 --> 00:27:22,820 +degrees of freedom that I can control I can change + +416 +00:27:22,820 --> 00:27:26,420 +the surface in front of me here, I can change the + +417 +00:27:26,420 --> 00:27:28,920 +depth, I can change the surface behind me, I can + +418 +00:27:28,920 --> 00:27:30,980 +change the distance between the first and second + +419 +00:27:30,980 --> 00:27:34,960 +lens and so on, so I have freedom areas or degrees + +420 +00:27:34,960 --> 00:27:38,300 +of freedom nineteenكل ما زادت ال degrees of + +421 +00:27:38,300 --> 00:27:41,600 +freedom كل ما كان ال quality of the image أعلى كل + +422 +00:27:41,600 --> 00:27:41,600 +ما زادت ال degrees of freedom كل ما كان ال quality + +423 +00:27:41,600 --> 00:27:46,320 +of the image أعلى Why? لأنه .. لأنه بنحصل على عدد + +424 +00:27:46,320 --> 00:27:48,260 +أكبر من ال object points لإنه .. لإنه بنحصل على + +425 +00:27:48,260 --> 00:27:50,780 +عدد أكبر من ال object points بتكون صوره .. صوره أو + +426 +00:27:50,780 --> 00:27:51,380 +صور ال object points هذه بشكل أستigmatic بتكون + +427 +00:27:51,380 --> 00:27:53,020 +صوره .. صوره أو صور ال object points هذه بشكل + +428 +00:27:53,020 --> 00:27:54,520 +أستigmatic بتكون صوره .. صوره أو صور ال object + +429 +00:27:54,520 --> 00:27:57,320 +points هذه بشكل أستigmatic بتكون صوره .. صوره أو + +430 +00:27:57,320 --> 00:27:59,120 +صور ال object points هذه بشكل أستigmatic بتكون + +431 +00:27:59,120 --> 00:27:59,600 +صوره .. صوره أو صور ال object points هذه بشكل + +432 +00:27:59,600 --> 00:28:02,600 +أستigmatic بتكون صوره .. صوره أو صور ال object + +433 +00:28:02,600 --> 00:28:04,940 +points هذه بشكل أستigmaticThe lenses in the + +434 +00:28:04,940 --> 00:28:07,360 +optical system, that is, the optical system that + +435 +00:28:07,360 --> 00:28:11,860 +has multiple lenses, its image quality is higher + +436 +00:28:11,860 --> 00:28:18,600 +than if I had fewer lenses, than the lenses. These + +437 +00:28:18,600 --> 00:28:21,360 +are examples that we have explained. We will stop + +438 +00:28:21,360 --> 00:28:25,840 +here this time, and next time, God willing, we + +439 +00:28:25,840 --> 00:28:29,160 +will enter into the topic of first order optics + +440 +00:28:29,160 --> 00:28:31,460 +and give you wellness and peace, and God's mercy + +441 +00:28:31,460 --> 00:28:32,600 +and blessings. + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/LK8k-5eKwtc_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/LK8k-5eKwtc_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..70c68bd195510d555d5d9afb2a7d6bea4b65254b --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/LK8k-5eKwtc_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2576, "start": 5.26, "end": 25.76, "text": " Now we have an example that we are going to solve using divergence calculations. We have an object on the left, 25 cm in diameter, with a force of plus 5 diopters. The angle of the wind on this side, on the side of the object, is 1. 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الرحمن الرحيم، بنواصل مع محاضرات الـ + +2 +00:00:05,300 --> 00:00:09,800 +Geometric Optics ووصلنا عند ال combination of + +3 +00:00:09,800 --> 00:00:13,360 +sphero cylindrical lenses Sphero cylindrical + +4 +00:00:13,360 --> 00:00:16,460 +lenses can be added to one another to produce a + +5 +00:00:16,460 --> 00:00:20,600 +single equivalent sphero cylindrical lenses لو في + +6 +00:00:20,600 --> 00:00:24,680 +عندي sphero cylindrical lensوكمان بده أضيف لها + +7 +00:00:24,680 --> 00:00:29,700 +كمان spherical cylindrical lens بدنا احنا نشوف كيف + +8 +00:00:29,700 --> 00:00:33,880 +يضافوا لبعض عشان يعطوني equivalent spherical + +9 +00:00:33,880 --> 00:00:37,640 +cylindrical lens طبعا في .. + +10 +00:00:41,100 --> 00:00:44,980 +In fact, if any number of sphero cylindrical + +11 +00:00:44,980 --> 00:00:48,540 +lenses are combined, the result is always an + +12 +00:00:48,540 --> 00:00:51,600 +equivalent sphero cylindrical lens having + +13 +00:00:51,600 --> 00:00:55,800 +principal meridians 90 degree upper. يعني لو عندي + +14 +00:00:55,800 --> 00:01:01,600 +مثلا على + +15 +00:01:01,600 --> 00:01:02,660 +سبيل المثال + +16 +00:01:11,310 --> 00:01:18,810 +عندي مثلا plus واحد sphere minus مثلا واحد و نص + +17 +00:01:18,810 --> 00:01:26,510 +cylinder على محور مثلا عشرين degree وعندي مثلا + +18 +00:01:26,510 --> 00:01:32,250 +minus نص sphere و + +19 +00:01:32,250 --> 00:01:41,520 +minus مثلا75% cylinder on axis for example 50 and + +20 +00:01:41,520 --> 00:01:48,200 +I have for example plus 3 spheres on + +21 +00:01:48,200 --> 00:01:56,900 +minus for example or plus 2 cylindersمحور 90 هدولة + +22 +00:01:56,900 --> 00:01:59,760 +التلاتة عبارة كل واحدة منهم spherical cylindrical + +23 +00:01:59,760 --> 00:02:03,920 +lens لو حبيت استعملهم مع بعض بت .. بتصد عنهم + +24 +00:02:03,920 --> 00:02:05,940 +spherical cylindrical lens + +25 +00:02:08,600 --> 00:02:11,320 +It has a value for the sphere And it has a value + +26 +00:02:11,320 --> 00:02:15,540 +for the cylinder with a certain axis Of course, as + +27 +00:02:15,540 --> 00:02:18,340 +long as the sphere and the cylindrical lens are + +28 +00:02:18,340 --> 00:02:20,400 +away from them It means that there is an axis in + +29 +00:02:20,400 --> 00:02:22,480 +this lens that is stronger and an axis that is + +30 +00:02:22,480 --> 00:02:26,180 +weaker And the two axes in regular astigmatism, of + +31 +00:02:26,180 --> 00:02:29,940 +course, the two axes are perpendicular So there is + +32 +00:02:29,940 --> 00:02:35,420 +a 90 degree distance between them Also, if I have + +33 +00:02:37,020 --> 00:02:41,480 +sphero cylindrical lens, بدي أحللها لكذا sphero + +34 +00:02:41,480 --> 00:02:45,360 +cylindrical lens هذا أيضا ممكن باستعمال حسابات + +35 +00:02:45,360 --> 00:02:51,160 +معينة و باستعمال حساب المثلثة Similarly, a single + +36 +00:02:51,160 --> 00:02:55,540 +sphero cylindrical lens has .. يعني .. + +37 +00:03:11,140 --> 00:03:15,300 +It is easy to add spherical cylindrical lenses + +38 +00:03:15,300 --> 00:03:18,260 +together if the principal meridians are aligned + +39 +00:03:18,260 --> 00:03:22,690 +with one another.We have three cases for spherical + +40 +00:03:22,690 --> 00:03:26,030 +and cylindrical lenses that I want to add to each + +41 +00:03:26,030 --> 00:03:31,070 +other Let's see what the first case is Let's go + +42 +00:03:31,070 --> 00:03:33,650 +back to this example and delete it We want to add + +43 +00:03:33,650 --> 00:03:37,430 +two spherical and cylindrical lenses, but the axis + +44 +00:03:37,430 --> 00:03:41,580 +is the same axisSo I have plus one minus one and a + +45 +00:03:41,580 --> 00:03:44,340 +half axis is twenty and minus one and a half minus + +46 +00:03:44,340 --> 00:03:46,940 +three quarters axis is also twenty So the + +47 +00:03:46,940 --> 00:03:48,720 +principal meridians of the spherical and + +48 +00:03:48,720 --> 00:03:51,180 +cylindrical lens are these and the principal + +49 +00:03:51,180 --> 00:03:53,320 +meridians of the spherical and cylindrical lens + +50 +00:03:53,320 --> 00:03:55,740 +are these They are the same principal meridians + +51 +00:03:55,740 --> 00:04:00,780 +because the axis is the same axis When I add this + +52 +00:04:02,210 --> 00:04:04,430 +Spherocylindrical lens with spherocylindrical lens + +53 +00:04:04,430 --> 00:04:07,570 +which have same axis, it is done by direct sum, + +54 +00:04:08,230 --> 00:04:11,370 +that is, I combine sphere with sphere and cylinder + +55 +00:04:11,370 --> 00:04:14,030 +with cylinder, of course, and the axis remains as + +56 +00:04:14,030 --> 00:04:17,170 +it is as long as this axis is 20 and axis is 20, + +57 +00:04:17,570 --> 00:04:20,950 +the resultantsphere and cylindrical lens, the + +58 +00:04:20,950 --> 00:04:24,270 +result of course will be the axis corresponding to + +59 +00:04:24,270 --> 00:04:27,710 +the two axes corresponding to the two axes, so in + +60 +00:04:27,710 --> 00:04:32,030 +this case if I get a problem like this, I say plus + +61 +00:04:32,030 --> 00:04:34,730 +one and minus half, I will have the new sphere + +62 +00:04:34,730 --> 00:04:39,430 +minus, pardon me, plus half, a direct algebra, + +63 +00:04:40,550 --> 00:04:45,600 +plus half sphereNow I add the cylinder with the + +64 +00:04:45,600 --> 00:04:52,340 +cylinder (-1.5,-3.4,-2.4), and the axis remains + +65 +00:04:52,340 --> 00:04:55,860 +20. The axis does not add up at all. So it does + +66 +00:04:55,860 --> 00:05:00,560 +not happen that the axis adds up and becomes 40. + +67 +00:05:00,660 --> 00:05:02,740 +No, as long as the axis is aligned with the axis, + +68 +00:05:03,420 --> 00:05:06,340 +the spherical cylindrical length is + +69 +00:05:10,270 --> 00:05:16,330 +Plus 1 with minus half becomes plus half-1.5,-3.4, + +70 +00:05:16,450 --> 00:05:19,790 +-2.4 and the axis as it is This is the first + +71 +00:05:19,790 --> 00:05:24,370 +scenario when the axis is aligned with the axis + +72 +00:05:24,370 --> 00:05:31,150 +The second scenario is when the axis of one of the + +73 +00:05:31,150 --> 00:05:33,150 +spherical and cylindrical lenses is perpendicular + +74 +00:05:33,150 --> 00:05:35,770 +to the axis of the second spherical and + +75 +00:05:35,770 --> 00:05:40,010 +cylindrical lens For example, let's say plus 4 + +76 +00:05:40,010 --> 00:05:42,750 +sphere + +77 +00:05:43,880 --> 00:05:51,600 +minus minus two and three quarters cylinder axis + +78 +00:05:51,600 --> 00:06:02,520 +twenty and the second minus one sphere plus one + +79 +00:06:02,520 --> 00:06:09,720 +cylinder axis one hundred and ten how do I .. how + +80 +00:06:09,720 --> 00:06:15,470 +do I ..I combine or add or make a combination of + +81 +00:06:15,470 --> 00:06:18,250 +these two spherical and cylindrical lenses to get + +82 +00:06:18,250 --> 00:06:22,110 +one spherical and cylindrical lens equivalent to + +83 +00:06:22,110 --> 00:06:25,750 +both of them Notice that the X is 20 for the first + +84 +00:06:25,750 --> 00:06:28,810 +spherical and cylindrical lens and the second is + +85 +00:06:28,810 --> 00:06:33,460 +110So the angle between them is 90 degrees, so I + +86 +00:06:33,460 --> 00:06:36,160 +have to make a transposition for one of them, and + +87 +00:06:36,160 --> 00:06:40,200 +then the axis becomes one. We want to make a + +88 +00:06:40,200 --> 00:06:44,960 +transposition for the first one, we say that the + +89 +00:06:44,960 --> 00:06:47,300 +first step in the transposition is to add the + +90 +00:06:47,300 --> 00:06:51,020 +cylinder to the sphere, it becomes plus four minus + +91 +00:06:51,020 --> 00:06:53,920 +seventy-two remains plus one quarter. + +92 +00:06:57,470 --> 00:07:00,170 +then I flip the pointer of the cylinder, it + +93 +00:07:00,170 --> 00:07:08,170 +becomes plus 72.75 then I move the axis 90 + +94 +00:07:08,170 --> 00:07:11,850 +degrees, the 20 becomes 110 this is the first + +95 +00:07:11,850 --> 00:07:15,110 +step, I made a transposition to the first lens I + +96 +00:07:15,110 --> 00:07:19,210 +made a transposition to the first lens okay, we + +97 +00:07:19,210 --> 00:07:21,970 +made a transposition to the first lens now the + +98 +00:07:21,970 --> 00:07:25,630 +second lens as I write it minus 1 + +99 +00:07:29,530 --> 00:07:34,470 +Plus one in + +100 +00:07:34,470 --> 00:07:39,370 +axis one hundred and ten. Now the axis is unified. + +101 +00:07:39,810 --> 00:07:42,410 +Why unified? Because the first lens, the first + +102 +00:07:42,410 --> 00:07:44,190 +spherical cylindrical lens, I made it a + +103 +00:07:44,190 --> 00:07:47,890 +transposition, so the axis turned to one hundred + +104 +00:07:47,890 --> 00:07:50,490 +and ten. I collect them a direct group, a direct + +105 +00:07:50,490 --> 00:07:51,090 +Gebri. + +106 +00:07:54,490 --> 00:07:59,070 +and then I get the reciprocal lens plus one and a + +107 +00:07:59,070 --> 00:08:03,210 +quarter and minus one plus a quarter this is the + +108 +00:08:03,210 --> 00:08:07,610 +reciprocal sphere the cylinder plus two and three + +109 +00:08:07,610 --> 00:08:10,310 +quarters and plus one so plus three or three + +110 +00:08:10,310 --> 00:08:15,190 +quarters and + +111 +00:08:15,190 --> 00:08:16,810 +the axis of course does not add up, the axis + +112 +00:08:16,810 --> 00:08:20,090 +remains as it is at one hundred and ten okay, one + +113 +00:08:20,090 --> 00:08:25,060 +can say I want to dotransposition of the second + +114 +00:08:25,060 --> 00:08:25,120 +lens + +115 +00:08:50,700 --> 00:09:06,020 +I will write it again here I have two lenses now + +116 +00:09:06,020 --> 00:09:11,920 +we want the first lens write + +117 +00:09:11,920 --> 00:09:16,740 +it as it is we don't want to make a transposition + +118 +00:09:16,740 --> 00:09:19,760 +we want to make a transposition to the second lens + +119 +00:09:29,280 --> 00:09:31,880 +now when we do transposition to the other lens + +120 +00:09:31,880 --> 00:09:35,020 +what will happen to my situation I want to add in + +121 +00:09:35,020 --> 00:09:37,220 +the cylinder to the sphere it will be plano zero + +122 +00:09:37,220 --> 00:09:42,640 +because it is plus one and minus one then I change + +123 +00:09:42,640 --> 00:09:47,540 +the sign of course plano either I write it in + +124 +00:09:47,540 --> 00:09:55,720 +writing or I write zero where it is and + +125 +00:09:55,720 --> 00:09:57,880 +this cylinder becomes minus one + +126 +00:10:01,520 --> 00:10:06,840 +in axis 20 because if we moved the axis it was 110 + +127 +00:10:06,840 --> 00:10:10,020 +and we subtracted 90 from it so it remains 20 so + +128 +00:10:10,020 --> 00:10:24,700 +now plus + +129 +00:10:24,700 --> 00:10:29,800 +4 with 0 remains plus 4 + +130 +00:10:33,080 --> 00:10:36,060 +and the cylinder with the cylinder which is minus + +131 +00:10:36,060 --> 00:10:39,900 +two and three quarters and minus one so minus + +132 +00:10:39,900 --> 00:10:43,600 +three and three quarters and the axis remains + +133 +00:10:43,600 --> 00:10:47,400 +twenty we can say that the result here when we did + +134 +00:10:47,400 --> 00:10:49,960 +the transposition of the second lens is different + +135 +00:10:49,960 --> 00:10:52,300 +from the result here when we did the transposition + +136 +00:10:52,300 --> 00:10:55,700 +of the first lens it does not differ at all if we + +137 +00:10:55,700 --> 00:10:58,840 +look at this and on this we will find the + +138 +00:10:58,840 --> 00:11:01,720 +transposition of each other, that is, if this is + +139 +00:11:01,720 --> 00:11:03,930 +the equivalent lensIf we want to make it a + +140 +00:11:03,930 --> 00:11:06,970 +transposition, we add 3 and 3 quarters to the + +141 +00:11:06,970 --> 00:11:10,790 +quarter and it becomes 4 The high point turns and + +142 +00:11:10,790 --> 00:11:13,190 +it becomes minus 3 and 3 quarters and the axis + +143 +00:11:13,190 --> 00:11:16,310 +turns 90 degrees and it becomes 20 So high + +144 +00:11:16,310 --> 00:11:18,590 +transposition to high and high transposition to + +145 +00:11:18,590 --> 00:11:23,400 +high So regardlessI make a transposition to the + +146 +00:11:23,400 --> 00:11:27,640 +first lens to make its axis like the axis of the + +147 +00:11:27,640 --> 00:11:31,400 +second lens, or make a transposition to the second + +148 +00:11:31,400 --> 00:11:34,980 +lens to make its axis like the axis of the first + +149 +00:11:34,980 --> 00:11:38,900 +lens, both results are correct, and the result + +150 +00:11:38,900 --> 00:11:41,360 +will be the same, but once in the plus cylindrical + +151 +00:11:41,360 --> 00:11:45,780 +form and once in the minus cylindrical form. So I + +152 +00:11:45,780 --> 00:11:47,900 +have two scenarios. The first scenario is + +153 +00:11:47,900 --> 00:11:51,130 +basically that I have two lenses in front of metwo + +154 +00:11:51,130 --> 00:11:54,970 +lenses, their axis is united, I add a direct + +155 +00:11:54,970 --> 00:11:59,530 +conjugate I add a direct conjugate now if two + +156 +00:11:59,530 --> 00:12:05,810 +lenses have one axis and the other axis is + +157 +00:12:05,810 --> 00:12:11,210 +perpendicular to it I make a transposition to one + +158 +00:12:11,210 --> 00:12:15,190 +of them so the axis becomes united and I add a + +159 +00:12:15,190 --> 00:12:18,210 +direct conjugate after that now the third scenario + +160 +00:12:18,210 --> 00:12:23,980 +is the most difficultWhen the axis of a sphere and + +161 +00:12:23,980 --> 00:12:27,020 +cylindrical lens are different and the angle + +162 +00:12:27,020 --> 00:12:32,520 +between them is not 90 degrees We say as follows, + +163 +00:12:33,420 --> 00:12:40,700 +for example, minus three spheres plus two + +164 +00:12:40,700 --> 00:12:48,960 +cylinders with an axis of 40 degrees and minus one + +165 +00:12:48,960 --> 00:12:59,040 +sphereminus half-cylinder axis 80 The axis here + +166 +00:12:59,040 --> 00:13:02,020 +and the axis here differ by 40 degrees The + +167 +00:13:02,020 --> 00:13:05,420 +distance between them is not 90 degrees, which is + +168 +00:13:05,420 --> 00:13:09,040 +the closest to the solution of the problem How do + +169 +00:13:09,040 --> 00:13:14,100 +we get the spherical cylindrical lens in this + +170 +00:13:19,840 --> 00:13:23,460 +Of course, there are complicated equations to find + +171 +00:13:23,460 --> 00:13:28,420 +the spherocylindrical lens equivalent to two + +172 +00:13:28,420 --> 00:13:34,360 +spherocylindrical lenses whose axes differ not by + +173 +00:13:34,360 --> 00:13:38,100 +90 degrees But these equations are complicated, + +174 +00:13:38,300 --> 00:13:43,000 +but we can use one of two ways to find the + +175 +00:13:43,000 --> 00:13:48,810 +spherocylindrical lens equivalent easilyone of the + +176 +00:13:48,810 --> 00:13:52,790 +practical ways is to take the trial frame and + +177 +00:13:52,790 --> 00:13:54,890 +place it in the first sphere of cylindrical lens + +178 +00:13:54,890 --> 00:14:00,410 +on the axis 40 degrees + +179 +00:14:03,210 --> 00:14:06,370 +and then I put in front of it in the same housing + +180 +00:14:06,370 --> 00:14:09,070 +in the same place I put in front of it the + +181 +00:14:09,070 --> 00:14:14,750 +spherical cylindrical lens on axis 80 it became 40 + +182 +00:14:14,750 --> 00:14:19,290 +one on axis 40 and one on axis 80 in front of each + +183 +00:14:19,290 --> 00:14:23,960 +other and I carry itAnd I put it on the lensmeter + +184 +00:14:23,960 --> 00:14:26,380 +device and I measure the strength of the two + +185 +00:14:26,380 --> 00:14:29,380 +lenses together, I get exactly the value of the + +186 +00:14:29,380 --> 00:14:33,060 +sphere and the cylinder and the new axis of the + +187 +00:14:33,060 --> 00:14:35,840 +spherical and cylindrical lens without + +188 +00:14:35,840 --> 00:14:38,120 +overestimating myself, but it is very important + +189 +00:14:38,120 --> 00:14:43,100 +when I put these two lensesWhen I put these two + +190 +00:14:43,100 --> 00:14:45,740 +lenses, it is very important that the axis does + +191 +00:14:45,740 --> 00:14:48,260 +not move, that is, one axis must be at 40 degrees + +192 +00:14:48,260 --> 00:14:50,960 +and the other at 80 degrees until it comes out + +193 +00:14:50,960 --> 00:14:54,180 +while moving, I now put the first lens and the + +194 +00:14:54,180 --> 00:14:58,200 +second, then I moved them to the lensmeter while + +195 +00:14:58,200 --> 00:15:01,340 +moving to the lensmeter and fixing the trial frame + +196 +00:15:01,340 --> 00:15:04,680 +on the lensmeter to read the sphero cylindrical + +197 +00:15:04,680 --> 00:15:10,480 +lens, I do not move the lenses so that the axis + +198 +00:15:10,480 --> 00:15:16,500 +does not changeSo this is one of the ways, there + +199 +00:15:16,500 --> 00:15:18,520 +is another way that there are programs on the + +200 +00:15:18,520 --> 00:15:21,600 +internet that calculate spherical and cylindrical + +201 +00:15:21,600 --> 00:15:24,280 +lenses equivalently, spherical and cylindrical + +202 +00:15:24,280 --> 00:15:28,940 +lenses equivalently, for example here the website + +203 +00:15:28,940 --> 00:15:35,120 +OpticCampus.com I have herefirst sphere power + +204 +00:15:35,120 --> 00:15:38,580 +first cylinder power first cylinder axis means + +205 +00:15:38,580 --> 00:15:41,660 +first sphere and cylindrical lens sphere and + +206 +00:15:41,660 --> 00:15:45,000 +cylinder and axis and sphere and cylinder and axis + +207 +00:15:45,000 --> 00:15:48,460 +and then we say calculate then we say calculate + +208 +00:15:48,460 --> 00:15:53,180 +means if we take an example if we say here minus + +209 +00:15:53,180 --> 00:15:59,680 +two spheres and here minus one cylinder axis for + +210 +00:15:59,680 --> 00:16:05,010 +exampleor let's take the same example from the + +211 +00:16:05,010 --> 00:16:10,150 +powerpoint we said minus 3 and plus 2, x is 40 + +212 +00:16:10,150 --> 00:16:16,630 +minus 3 plus + +213 +00:16:16,630 --> 00:16:24,030 +2 x is 40 of course we don't write the plus here + +214 +00:16:24,030 --> 00:16:26,990 +according to the system but we write the minus the + +215 +00:16:26,990 --> 00:16:27,430 +second lens + +216 +00:16:31,050 --> 00:16:37,050 +-1-1-1-1 + +217 +00:16:37,050 --> 00:16:44,630 +-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1 + +218 +00:16:44,630 --> 00:16:45,110 +-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1 + +219 +00:16:45,110 --> 00:16:49,390 +-1-1-1-1-1-1-1 + +220 +00:16:49,390 --> 00:16:49,470 +-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1 + +221 +00:16:49,470 --> 00:16:56,430 +-1This is the spherical and cylindrical lens that + +222 +00:16:56,430 --> 00:17:04,430 +came out with us. Minus 22.6% diopter minus 98.1% + +223 +00:17:04,430 --> 00:17:11,510 +diopter cylinder on axis 123 and 20. One might ask + +224 +00:17:11,510 --> 00:17:14,820 +why the axis did not come out between 40 and 80?if + +225 +00:17:14,820 --> 00:17:20,160 +we do transposition to high it will give me an + +226 +00:17:20,160 --> 00:17:25,780 +axis between 40 and 80 or it doesn't have to be + +227 +00:17:25,780 --> 00:17:31,600 +according to my calculations in this calculation + +228 +00:17:31,600 --> 00:17:34,540 +of course according to complicated equations + +229 +00:17:34,540 --> 00:17:39,230 +either I use high programs orIf I'm having a hard + +230 +00:17:39,230 --> 00:17:43,970 +time or I don't have the ability to use it, I put + +231 +00:17:43,970 --> 00:17:46,370 +the first and second lens, each one according to + +232 +00:17:46,370 --> 00:17:50,610 +its axis, and I transfer them directly to the + +233 +00:17:50,610 --> 00:17:53,410 +lensmeter without moving the axis, it will give me + +234 +00:17:53,410 --> 00:17:55,430 +a unified reading of both lenses for the + +235 +00:17:55,430 --> 00:17:59,970 +corresponding lens. So these are the three + +236 +00:17:59,970 --> 00:18:04,390 +scenarios in the combination of a sphero + +237 +00:18:04,390 --> 00:18:08,020 +-cylindrical lens.which is the first thing when + +238 +00:18:08,020 --> 00:18:12,280 +the axis is united, second thing when the two axis + +239 +00:18:12,280 --> 00:18:14,340 +between them are 90 degrees, I do the + +240 +00:18:14,340 --> 00:18:16,280 +transposition to one, it doesn't matter to whom I + +241 +00:18:16,280 --> 00:18:18,760 +do it, to the first or the second, third thing + +242 +00:18:18,760 --> 00:18:21,480 +when the axis is different and the distance + +243 +00:18:21,480 --> 00:18:24,410 +between them or the angle between themnot 90 + +244 +00:18:24,410 --> 00:18:26,690 +degrees, either more than 90 degrees or less than + +245 +00:18:26,690 --> 00:18:29,470 +90 degrees, there are two ways to do that, either + +246 +00:18:29,470 --> 00:18:32,770 +we put the spherical and cylindrical lenses in the + +247 +00:18:32,770 --> 00:18:36,250 +trial frame and we read or we use the programs of + +248 +00:18:36,250 --> 00:18:40,050 +the internet, the calculators, which bring me the + +249 +00:18:40,050 --> 00:18:45,070 +lens, the spherical and cylindrical lens, which is + +250 +00:18:45,070 --> 00:18:47,270 +equivalent, which is equivalent and therefore this + +251 +00:18:47,270 --> 00:18:49,550 +is of course the third case, which is not the + +252 +00:18:49,550 --> 00:18:53,340 +angle between them90 degrees they call it + +253 +00:18:53,340 --> 00:18:57,920 +combination of cylinders at oblique axis which + +254 +00:18:57,920 --> 00:19:02,100 +means they are not 90 degrees between them and + +255 +00:19:02,100 --> 00:19:08,400 +they are not adjacent to each other there is a + +256 +00:19:08,400 --> 00:19:12,820 +last point we want to talk about in this topic we + +257 +00:19:12,820 --> 00:19:15,320 +need to notice that .. + +258 +00:19:18,450 --> 00:19:23,610 +the direction of the force is not + +259 +00:19:23,610 --> 00:19:28,390 +correct + +260 +00:19:28,390 --> 00:19:34,470 +in other words, we don't think that cylindrical + +261 +00:19:34,470 --> 00:19:37,610 +lenses can gather direction forces in other words, + +262 +00:19:38,290 --> 00:19:43,390 +when we say that a force acts on zeroAnd the force + +263 +00:19:43,390 --> 00:19:47,250 +works at 180 degrees And this force is 1 Newton + +264 +00:19:47,250 --> 00:19:50,850 +And this force is 1 Newton Let's take an example + +265 +00:19:50,850 --> 00:19:56,670 +of + +266 +00:19:56,670 --> 00:20:05,370 +that This + +267 +00:20:05,370 --> 00:20:05,810 +is an example + +268 +00:20:12,720 --> 00:20:16,620 +we have a force acting on zero and another force + +269 +00:20:16,620 --> 00:20:21,240 +acting on 180 it is supposed that this force and + +270 +00:20:21,240 --> 00:20:23,900 +this force are opposites so if this is one Newton + +271 +00:20:23,900 --> 00:20:27,340 +and this is one Newton then they get zero but in + +272 +00:20:27,340 --> 00:20:32,360 +cylinders the cylinder with its axis on zero and + +273 +00:20:32,360 --> 00:20:35,780 +the cylinder with its axis on 180 is the same axis + +274 +00:20:35,780 --> 00:20:38,620 +because zero is itself 180 in another meaning + +275 +00:20:42,080 --> 00:20:44,240 +Let's go to the first scenario, here I say that + +276 +00:20:44,240 --> 00:20:46,860 +the axis is one, but if we assume that the axis + +277 +00:20:46,860 --> 00:20:53,630 +here is zero and here the axis is 180Is there a + +278 +00:20:53,630 --> 00:20:55,190 +difference? No, there is no difference, we combine + +279 +00:20:55,190 --> 00:20:57,230 +the direct conjugate, the sphere with the sphere, + +280 +00:20:57,570 --> 00:20:59,510 +and the cylinder with the cylinder, and the axis + +281 +00:20:59,510 --> 00:21:03,030 +is the same, but we say when the axis is zero, we + +282 +00:21:03,030 --> 00:21:04,770 +write one hundred and eighty, because it is the + +283 +00:21:04,770 --> 00:21:07,650 +same thing, zero is the same as one hundred and + +284 +00:21:07,650 --> 00:21:10,090 +eighty, so when we say for example, another + +285 +00:21:10,090 --> 00:21:13,370 +example, we say plus two, + +286 +00:21:15,790 --> 00:21:19,830 +for example, we say plus one, sphere + +287 +00:21:22,360 --> 00:21:30,060 +plus two cylinders axis zero and for example plus + +288 +00:21:30,060 --> 00:21:35,460 +three spheres plus + +289 +00:21:35,460 --> 00:21:42,380 +two cylinders axis one hundred and eighty if I + +290 +00:21:42,380 --> 00:21:44,440 +want to put together a directed group it looks + +291 +00:21:44,440 --> 00:21:47,660 +like zero this way and one hundred and eighty in + +292 +00:21:47,660 --> 00:21:53,390 +the opposite direction this is zeroand 180 in the + +293 +00:21:53,390 --> 00:21:56,990 +opposite direction but this is not allowed in + +294 +00:21:56,990 --> 00:22:03,790 +cylinders because zero is equal to 180 so their + +295 +00:22:03,790 --> 00:22:10,290 +sum is direct plus 1 with plus 3 is plus 4 sphere + +296 +00:22:10,290 --> 00:22:13,970 +with sphere this is the spherical cylindrical lens + +297 +00:22:13,970 --> 00:22:16,910 +of the reciprocal as long as zero is equal to 180 + +298 +00:22:16,910 --> 00:22:22,390 +I add a direct sum so also plus 4which is plus two + +299 +00:22:22,390 --> 00:22:25,830 +over plus two and the axis is one hundred and + +300 +00:22:25,830 --> 00:22:29,170 +eighty or zero, but we are used to write zero as + +301 +00:22:29,170 --> 00:22:32,030 +zero and one hundred and eighty as zero. This + +302 +00:22:32,030 --> 00:22:34,330 +point makes us say that it is not preferable or + +303 +00:22:34,330 --> 00:22:36,530 +does not combine the spherical and cylindrical + +304 +00:22:36,530 --> 00:22:42,120 +lenses in a directed way.means that it does not + +305 +00:22:42,120 --> 00:22:45,300 +combine positive integers so the vector addition + +306 +00:22:45,300 --> 00:22:47,460 +in spherical and cylindrical lenses is not allowed + +307 +00:22:47,460 --> 00:22:50,540 +because there are considerations that the zero + +308 +00:22:50,540 --> 00:22:54,000 +degree is the same as the zero degree is the same + +309 +00:22:54,000 --> 00:23:01,260 +as the zero degree this is how we sayطبعا آخر + +310 +00:23:01,260 --> 00:23:03,960 +سيناريو اللي بكون oblique axis أنه في عندي + +311 +00:23:03,960 --> 00:23:09,260 +computer programs بتشجع فيه أو بتساعدني فيه أن + +312 +00:23:09,260 --> 00:23:13,120 +أحسب ال sphere و ال cylindrical lens المكافئة زي + +313 +00:23:13,120 --> 00:23:16,440 +ال optic compass و ..ما شبه زي ال optic compass و + +314 +00:23:16,440 --> 00:23:21,900 +ما شبه طبعا في برامج كتيرة جدا ل ال combination of + +315 +00:23:21,900 --> 00:23:25,200 +spherical و cylindrical lenses و بنتوقف عند هذه + +316 +00:23:25,200 --> 00:23:28,640 +النقطة و المرة القادمة ان شاء الله هناخد ال + +317 +00:23:28,640 --> 00:23:31,280 +spherical aberration و نعطيكم العافية و السلام + +318 +00:23:31,280 --> 00:23:33,420 +عليكم و رحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/OFKXhpR4vkI_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/OFKXhpR4vkI_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..125eab8bf90d8621abba542c0fee47aa9221fb92 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/OFKXhpR4vkI_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2224, "start": 1.5, "end": 22.24, "text": "بسم الله الرحمن الرحيم، بنواصل مع محاضرات الـ Geometric Optics ووصلنا عند ال combination of sphero cylindrical lenses Sphero cylindrical 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both results are correct, and the result will be the same, but once in the plus cylindrical form and once in the minus cylindrical form. So I have two scenarios. 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1394.62, "text": "طبعا آخر سيناريو اللي بكون oblique axis أنه في عندي computer programs بتشجع فيه أو بتساعدني فيه أن أحسب ال sphere و ال cylindrical lens المكافئة زي ال optic compass و ..", "tokens": [9566, 3555, 3615, 995, 19753, 34740, 8608, 1829, 8315, 16572, 2407, 13672, 1829, 4724, 30544, 23740, 1925, 10298, 14739, 3224, 8978, 18871, 16254, 3820, 4268, 39894, 8592, 7435, 3615, 8978, 3224, 34051, 39894, 3794, 995, 22488, 22653, 8978, 3224, 14739, 5551, 5016, 35457, 2423, 16687, 4032, 2423, 28044, 15888, 6765, 9673, 4117, 31845, 19986, 3660, 30767, 1829, 2423, 48269, 10707, 4032, 4386], "avg_logprob": -0.2772817602233281, "compression_ratio": 1.3315217391304348, "no_speech_prob": 2.682209014892578e-06, "words": [{"start": 1379.66, "end": 1380.46, "word": "طبعا", "probability": 0.757080078125}, {"start": 1380.46, "end": 1381.26, "word": " آخر", "probability": 0.685546875}, {"start": 1381.26, "end": 1381.68, "word": " سيناريو", "probability": 0.8421875}, {"start": 1381.68, "end": 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"end": 1411.86, "word": " و", "probability": 0.998046875}, {"start": 1411.86, "end": 1412.14, "word": " رحمة", "probability": 0.8557942708333334}, {"start": 1412.14, "end": 1412.44, "word": " الله", "probability": 0.974609375}, {"start": 1412.44, "end": 1413.42, "word": " وبركاته", "probability": 0.836865234375}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1413.329, "duration_after_vad": 1320.6299999999994} \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Q0jwlQFH1sU_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Q0jwlQFH1sU_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..ec1545ffebf4eee6894565f136d9b083fe5bd668 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Q0jwlQFH1sU_raw.srt @@ -0,0 +1,2384 @@ +1 +00:00:01,470 --> 00:00:04,770 +بسم الله الرحمن الرحيم، بنبدأ في حل النسخة الأولى + +2 +00:00:04,770 --> 00:00:08,650 +من الاختبار النسخة، النسخة الأولى، السؤال أول، + +3 +00:00:08,650 --> 00:00:11,270 +light rays coming from real objects have negative + +4 +00:00:11,270 --> 00:00:13,870 +versions؟ هذا كلام صحيح، إذا الإجابة صح + +5 +00:00:17,570 --> 00:00:20,690 +How much is the divergence of light coming from a + +6 +00:00:20,690 --> 00:00:24,350 +candle after two meters of propagation of air? I + +7 +00:00:24,350 --> 00:00:27,570 +have two words, distance which is two meters and + +8 +00:00:27,570 --> 00:00:32,350 +candle which is a real object, so the rail will + +9 +00:00:32,350 --> 00:00:35,310 +diverge from it, so every plus is an exception, + +10 +00:00:35,890 --> 00:00:39,330 +plus one, plus two, plus three, plus four, plus + +11 +00:00:39,330 --> 00:00:39,870 +five, plus six, plus seven, plus eight, plus nine, + +12 +00:00:39,870 --> 00:00:40,190 +plus ten, plus eleven, plus twelve, plus thirteen, + +13 +00:00:40,190 --> 00:00:40,190 +plus fourteen, plus fifteen, plus sixteen, plus + +14 +00:00:40,190 --> 00:00:40,190 +sixteen, plus sixteen, plus seventeen, plus + +15 +00:00:40,190 --> 00:00:40,210 +eighteen, plus eighteen, plus eighteen, plus + +16 +00:00:40,210 --> 00:00:40,210 +eighteen, plus eighteen, plus eighteen, plus + +17 +00:00:40,210 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +18 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +19 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +20 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +21 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +22 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +23 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +24 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +25 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +26 +00:00:40,230 --> 00:00:40,230 +eighteen, plus eighteen, plus eighteen, plus + +27 +00:00:40,230 --> 00:00:42,540 +eighteen, plus eighteen,طيب ال divergence مقلوب + +28 +00:00:42,540 --> 00:00:47,820 +المسافة واحد على اتنين متر .. واحد على اتنين بيصير + +29 +00:00:47,820 --> 00:00:52,000 +نص و متر لما بطلع بيصير متر اصلا minus واحد يعني + +30 +00:00:52,000 --> 00:00:54,920 +ضايب تر يعني minus نص ضايب تر ال minus عشانه + +31 +00:00:54,920 --> 00:01:00,820 +divergence إذا الإجابة minus نص ضايب تر السؤال + +32 +00:01:00,820 --> 00:01:01,360 +اللي بعده + +33 +00:01:04,440 --> 00:01:08,840 +سؤال سهل جدا ال image ارتفاع ال image اربعين صنطي + +34 +00:01:08,840 --> 00:01:12,620 +تحت ال optical axis تحت ال optical axis اذا ال + +35 +00:01:12,620 --> 00:01:16,500 +image بتمتد او ارتفاعها تحت ال optical axis اربعين + +36 +00:01:16,500 --> 00:01:20,820 +صنطي ال transfers magnification minus نص minus + +37 +00:01:20,820 --> 00:01:23,560 +يعني هي مجلوبة الصورة نفسها مجلوبة ايه بما انها + +38 +00:01:23,560 --> 00:01:26,360 +تحت ال optical axis معناته ال object above the + +39 +00:01:26,360 --> 00:01:29,840 +optical axis اذا كلمة below و belowها دي هدول + +40 +00:01:29,840 --> 00:01:34,070 +إجابة الأولى و الرابعةnot flowers, because as long + +41 +00:01:34,070 --> 00:01:37,090 +as the image is down, the object is up, why? + +42 +00:01:37,170 --> 00:01:39,210 +because the transfer is magnification with minus, + +43 +00:01:39,310 --> 00:01:41,650 +so the image is upside down and its position is + +44 +00:01:41,650 --> 00:01:45,490 +upside down with respect to the object and its + +45 +00:01:45,490 --> 00:01:48,110 +height is half the height of the object, but if + +46 +00:01:48,110 --> 00:01:52,170 +its height is 40 cm, then the object is 80 cm, so + +47 +00:01:52,170 --> 00:01:59,720 +80 cm above the optical axis next questionAn + +48 +00:01:59,720 --> 00:02:02,560 +object stands to the left of a single reflecting + +49 +00:02:02,560 --> 00:02:05,860 +surface with a radius of curvature R, the image + +50 +00:02:05,860 --> 00:02:08,100 +distance is mid-centimeter and the transverse + +51 +00:02:08,100 --> 00:02:12,240 +magnification is minus two. Find the object + +52 +00:02:12,240 --> 00:02:14,340 +distance and the radius of curvature. + +53 +00:02:23,640 --> 00:02:27,400 +وعندي image معلومة المسافة ال image معلومة المسافة + +54 +00:02:27,400 --> 00:02:31,680 +ال image على بعد 100 + +55 +00:02:31,680 --> 00:02:37,400 +cm يعني واحد متر 100 cm تمام and the image + +56 +00:02:37,400 --> 00:02:41,980 +distance is 100 cm لtransfiguration magnification + +57 +00:02:41,980 --> 00:02:48,500 +minus 2 بنقول هذه المسافة عبارة عن واحد متر اللي + +58 +00:02:48,500 --> 00:02:51,420 +هى 100 عفوان 100 + +59 +00:02:53,390 --> 00:02:57,990 +100 cm The + +60 +00:02:57,990 --> 00:03:00,790 +distance between the image and the surface of the + +61 +00:03:00,790 --> 00:03:04,270 +refracting surface is 100 cm We want to see what + +62 +00:03:04,270 --> 00:03:10,410 +is the object distance Transverse magnification + +63 +00:03:10,410 --> 00:03:13,270 +equals image distance + +64 +00:03:22,310 --> 00:03:29,590 +on object distance I + +65 +00:03:29,590 --> 00:03:38,530 +want object distance to be + +66 +00:03:38,530 --> 00:03:44,890 +equal to transference magnification to be equal + +67 +00:03:44,890 --> 00:03:48,470 +to image distance to transference magnification + +68 +00:03:56,370 --> 00:04:03,970 +and it's equal to image distance 1 meter over + +69 +00:04:03,970 --> 00:04:08,730 +transference magnification minus 2 and it's equal + +70 +00:04:08,730 --> 00:04:15,350 +to 1 over minus 2 which is minus half and the + +71 +00:04:15,350 --> 00:04:20,370 +meter is simply the same so the object is at minus + +72 +00:04:20,370 --> 00:04:26,660 +half meter the object is at minus half meter50 cm + +73 +00:04:26,660 --> 00:04:29,860 +to the left, the word minus means 50 cm to the + +74 +00:04:29,860 --> 00:04:37,140 +left, 50 cm to the left if + +75 +00:04:37,140 --> 00:04:39,480 +the object distance is minus half a meter, which + +76 +00:04:39,480 --> 00:04:42,340 +means 50 cm to the left, now we want to get the + +77 +00:04:42,340 --> 00:04:45,380 +radius of curvature, it is known that all the + +78 +00:04:45,380 --> 00:04:50,020 +problems in this exam, the n condition is one and + +79 +00:04:50,020 --> 00:04:53,720 +a half and the n is one, okay, we say negative n + +80 +00:04:53,720 --> 00:05:02,210 +to oplus the power which is unconditional minus n + +81 +00:05:02,210 --> 00:05:14,410 +over r equals unconditional over i minus + +82 +00:05:14,410 --> 00:05:21,790 +one over half + +83 +00:05:21,790 --> 00:05:22,130 +a meter + +84 +00:05:27,220 --> 00:05:35,740 +plus one and a half minus one over the unknown r + +85 +00:05:35,740 --> 00:05:42,620 +equals minus one over I minus one and a half over + +86 +00:05:42,620 --> 00:05:47,980 +I which is one meter minus + +87 +00:05:47,980 --> 00:05:51,600 +one over half is equal to minus two and the meter + +88 +00:05:51,600 --> 00:05:53,320 +in the place that comes out becomes the diopter + +89 +00:05:53,320 --> 00:05:57,310 +which is minus one plusone and a half minus one + +90 +00:05:57,310 --> 00:06:04,030 +remains as half over R unknown equals one and a + +91 +00:06:04,030 --> 00:06:07,590 +half over one which is one and a half and the + +92 +00:06:07,590 --> 00:06:15,370 +meter in the place appears as a diode half over R + +93 +00:06:15,370 --> 00:06:17,730 +equals + +94 +00:06:19,100 --> 00:06:21,840 +when I move minus two diopters to the other side + +95 +00:06:21,840 --> 00:06:25,640 +it becomes plus two diopters plus two diopters and + +96 +00:06:25,640 --> 00:06:27,680 +if I have one and a half diopters it means three + +97 +00:06:27,680 --> 00:06:34,620 +and a half diopters so + +98 +00:06:34,620 --> 00:06:37,540 +half over r is equal to three and a half diopters + +99 +00:06:37,540 --> 00:06:43,820 +so r I change it to three and a half r is equal to + +100 +00:06:43,820 --> 00:06:48,760 +half + +101 +00:06:51,670 --> 00:06:57,110 +on three and a half diopters if you want to know + +102 +00:06:57,110 --> 00:07:07,210 +how much it equals, go to the calculator say + +103 +00:07:07,210 --> 00:07:11,810 +half divided + +104 +00:07:11,810 --> 00:07:17,110 +by three and a half equals + +105 +00:07:19,190 --> 00:07:21,690 +one hundred or one thousand four hundred and + +106 +00:07:21,690 --> 00:07:24,310 +twenty-eight one thousand four hundred and twenty + +107 +00:07:24,310 --> 00:07:27,770 +-eight or let's use the nearest three numbers + +108 +00:07:27,770 --> 00:07:30,070 +twenty one hundred and forty-two thousand meters + +109 +00:07:30,070 --> 00:07:33,870 +one hundred and forty-two thousand meters one + +110 +00:07:33,870 --> 00:07:38,530 +hundred and forty-two thousand meters the diopter + +111 +00:07:38,530 --> 00:07:40,410 +in the building when it goes up becomes a meter + +112 +00:07:40,410 --> 00:07:45,650 +then it equals fourteen centimeters and two tenths + +113 +00:07:45,650 --> 00:07:48,090 +fourteen centimeters and two tenths + +114 +00:07:54,960 --> 00:08:02,280 +so r is 14.2 cm and the object is about minus half + +115 +00:08:02,280 --> 00:08:05,480 +a meter or half a meter on the left this is the + +116 +00:08:05,480 --> 00:08:09,820 +answer to the question let's see from among the + +117 +00:08:09,820 --> 00:08:15,340 +answers object + +118 +00:08:15,340 --> 00:08:24,380 +is half a meterThe radius is 14.2 cm You + +119 +00:08:24,380 --> 00:08:31,800 +can ask me why I put 1 meter and read 12.4 cm + +120 +00:08:31,800 --> 00:08:36,860 +instead of 14.2 cm So the correct answer is number + +121 +00:08:36,860 --> 00:08:41,520 +2 here + +122 +00:08:44,190 --> 00:08:46,610 +we have another question object is one meter to + +123 +00:08:46,610 --> 00:08:50,890 +the left of spherical refracting surface radius is + +124 +00:08:50,890 --> 00:08:54,230 +two out of ten meters where is damage and what is + +125 +00:08:54,230 --> 00:08:57,230 +the transverse magnification? there are drawings + +126 +00:08:57,230 --> 00:09:02,510 +that explain this issue radius is two out of ten + +127 +00:09:02,510 --> 00:09:07,970 +meters radius is two out of ten meters and the + +128 +00:09:07,970 --> 00:09:10,170 +object is one meter away and the object is one + +129 +00:09:10,170 --> 00:09:14,920 +meter awaythere is a drawing that I drew with this + +130 +00:09:14,920 --> 00:09:20,120 +meaning this is the object at a distance of one + +131 +00:09:20,120 --> 00:09:23,080 +meter and the radius is two tenths of a meter to + +132 +00:09:23,080 --> 00:09:26,780 +get the image we say minus n over o plus + +133 +00:09:26,780 --> 00:09:29,460 +unconditional minus n over r equals unconditional + +134 +00:09:29,460 --> 00:09:33,300 +over i minus one over o which is one meter plus + +135 +00:09:33,300 --> 00:09:36,080 +one and a half minus one we said unconditional in + +136 +00:09:36,080 --> 00:09:39,100 +every subject of the exam one and a half and n one + +137 +00:09:39,470 --> 00:09:42,270 +one and a half minus one over the radius which is + +138 +00:09:42,270 --> 00:09:44,410 +two out of ten meters is equal to one and a half + +139 +00:09:44,410 --> 00:09:47,750 +over I here minus one over one is equal to minus + +140 +00:09:47,750 --> 00:09:50,090 +one and the meter when it comes out becomes a + +141 +00:09:50,090 --> 00:09:54,130 +diopter plus one and a half minus one remains + +142 +00:09:54,130 --> 00:09:56,610 +half, the half when I divide by two out of ten + +143 +00:09:56,610 --> 00:09:59,490 +meters comes out two and a half diopter is equal + +144 +00:09:59,490 --> 00:10:04,480 +to one and a half over Iminus diopter plus two and + +145 +00:10:04,480 --> 00:10:06,480 +a half diopter gives me plus one and a half + +146 +00:10:06,480 --> 00:10:10,400 +diopter equals one and a half over I so I change + +147 +00:10:10,400 --> 00:10:13,420 +the place of one and a half diopter and one and a + +148 +00:10:13,420 --> 00:10:15,700 +half diopter changes the place of I so I equals + +149 +00:10:15,700 --> 00:10:19,040 +one and a half over plus one and a half diopter + +150 +00:10:19,040 --> 00:10:21,980 +one and a half over one and a half of course plus + +151 +00:10:21,980 --> 00:10:25,320 +on plus equals plus one and a half on one and a + +152 +00:10:25,320 --> 00:10:30,150 +half oneوالديوبتر لما بيطلع من المقام بيصير واحد + +153 +00:10:30,150 --> 00:10:35,350 +متر اذا الصورة على بعد واحد متر + +154 +00:10:35,350 --> 00:10:39,350 +ال transfer is magnificationit's supposed to be + +155 +00:10:39,350 --> 00:10:42,730 +one it's supposed to be minus one, excuse me minus + +156 +00:10:42,730 --> 00:10:46,890 +one so it should be one meter to the right of + +157 +00:10:46,890 --> 00:10:50,310 +refracting service and TM is equal to minus one + +158 +00:10:50,310 --> 00:10:54,250 +this is the correct answer why minus one? we say + +159 +00:10:54,250 --> 00:10:59,110 +as follows the body let's solve it with a better + +160 +00:10:59,110 --> 00:11:03,670 +book we + +161 +00:11:03,670 --> 00:11:07,530 +say TM is equal toimage distance over object + +162 +00:11:07,530 --> 00:11:12,710 +distance image distance plus one meter plus one + +163 +00:11:12,710 --> 00:11:18,010 +meter over the object distance minus one meter and + +164 +00:11:18,010 --> 00:11:23,810 +it equals x plus minus minus and one by one + +165 +00:11:23,810 --> 00:11:27,890 +remains one and meter by meter goes to x minus one + +166 +00:11:27,890 --> 00:11:30,690 +so the image is one meter away and the + +167 +00:11:30,690 --> 00:11:32,850 +magnification is minus one magnification is minus + +168 +00:11:32,850 --> 00:11:37,560 +one move on to the next questionThe critical angle + +169 +00:11:37,560 --> 00:11:42,160 +is, is the angle of incidence that gives an angle + +170 +00:11:42,160 --> 00:11:45,380 +of transmission which equals 90. + +171 +00:11:59,890 --> 00:12:03,950 +Okay, an optical system consisting of seven lenses + +172 +00:12:03,950 --> 00:12:08,310 +has how many degrees of freedom? كل لنز تلاتة، كل + +173 +00:12:08,310 --> 00:12:11,210 +لنز تلاتة، سطحة الأمامي و سطحة الخلفي و السمك + +174 +00:12:11,210 --> 00:12:15,290 +بتاعها، هدول بقدر أتحكم فيهم و أغيرهم طالما كل لنز + +175 +00:12:15,290 --> 00:12:19,560 +تلاتة، عندي سبعة لنز في تلاتة بواحد وعشرين7 lenses + +176 +00:12:19,560 --> 00:12:22,760 +have 21 degrees of freedom and I also have 6 + +177 +00:12:22,760 --> 00:12:24,720 +degrees of freedom which are the distances between + +178 +00:12:24,720 --> 00:12:27,100 +the 7 lenses distance between the first lens and + +179 +00:12:27,100 --> 00:12:29,820 +the second lens I can control between the second + +180 +00:12:29,820 --> 00:12:31,120 +lens and the third lens between the third lens I + +181 +00:12:31,120 --> 00:12:34,760 +have 6 distances between the 7 lenses so I have 21 + +182 +00:12:34,760 --> 00:12:39,620 +and I have 6 which means 27 is the correct answer + +183 +00:12:39,620 --> 00:12:42,660 +okay + +184 +00:12:45,350 --> 00:12:48,270 +for light travelling from a medium with lower + +185 +00:12:48,270 --> 00:12:51,850 +refractive index زي الهوى to a medium with higher + +186 +00:12:51,850 --> 00:12:56,230 +refractive index زي الميقى which is true فلنقرأ + +187 +00:12:56,230 --> 00:13:00,560 +the refracted ray gets fartherfrom the service + +188 +00:13:00,560 --> 00:13:01,000 +normal. + +189 +00:13:04,600 --> 00:13:11,080 +The transmitted ray does not change its direction + +190 +00:13:11,080 --> 00:13:17,560 +if the angle of incidence is equal to zero.Theta T + +191 +00:13:17,560 --> 00:13:20,060 +is greater than Theta I. No, when we move from air + +192 +00:13:20,060 --> 00:13:23,180 +to water, or from air to glass, or from medium to + +193 +00:13:23,180 --> 00:13:26,420 +less medium to higher medium, theta I is greater + +194 +00:13:26,420 --> 00:13:29,620 +than theta T Of course, not all choices are wrong, + +195 +00:13:29,680 --> 00:13:33,700 +because this choice is correct When the angle of + +196 +00:13:33,700 --> 00:13:39,400 +incidence is equal to zero, it does not change its + +197 +00:13:39,400 --> 00:13:39,940 +direction + +198 +00:13:43,450 --> 00:13:45,670 +What is the refractive power of a spherical + +199 +00:13:45,670 --> 00:13:48,490 +surface of a glass rod if the object was half a + +200 +00:13:48,490 --> 00:13:52,050 +meter distance to the left of the surface and the + +201 +00:13:52,050 --> 00:13:55,150 +image formed one meter right to the surface? + +202 +00:14:16,320 --> 00:14:21,580 +Okay, this is the drawing. We say... What is + +203 +00:14:21,580 --> 00:14:27,000 +required? We want refractive power of spherical + +204 +00:14:27,000 --> 00:14:27,660 +surface. + +205 +00:14:30,400 --> 00:14:37,220 +We say as follows... + +206 +00:14:37,220 --> 00:14:40,740 +All + +207 +00:14:40,740 --> 00:14:41,840 +these words will be cancelled. + +208 +00:14:45,190 --> 00:14:47,890 +let's say I have an object half a meter away from + +209 +00:14:47,890 --> 00:14:52,310 +me on + +210 +00:14:52,310 --> 00:14:56,270 +the + +211 +00:14:56,270 --> 00:15:00,350 +left of the refracting surface and we want to get + +212 +00:15:00,350 --> 00:15:02,590 +the refractive power we want to get the refractive + +213 +00:15:02,590 --> 00:15:07,390 +power first + +214 +00:15:07,390 --> 00:15:12,890 +thing we want to get the R of course let's say + +215 +00:15:12,890 --> 00:15:14,130 +negative N over O + +216 +00:15:21,660 --> 00:15:29,360 +plus n condition minus + +217 +00:15:29,360 --> 00:15:39,280 +n over r equals n condition over i minus + +218 +00:15:39,280 --> 00:15:47,840 +one over half meter plus + +219 +00:15:47,840 --> 00:16:01,930 +one and a half-1 over R unknown which is 1.5 over + +220 +00:16:01,930 --> 00:16:08,430 +I which is 1 meter minus 1 over half which is + +221 +00:16:08,430 --> 00:16:16,130 +minus 2 diopter plus half which is 1.5 minus 1 + +222 +00:16:16,130 --> 00:16:23,540 +which is half over R which is unknown1.5x1.5x1.5x1 + +223 +00:16:23,540 --> 00:16:28,400 +.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1 + +224 +00:16:28,400 --> 00:16:29,880 +.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1 + +225 +00:16:29,880 --> 00:16:30,480 +.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1 + +226 +00:16:30,480 --> 00:16:30,480 +.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1.5x1 + +227 +00:16:30,480 --> 00:16:38,160 +.5x1.5x1 + +228 +00:16:38,160 --> 00:16:47,140 +.5x1.5x1.5xplus two diopters and one and a half + +229 +00:16:47,140 --> 00:16:49,300 +diopters which is three and a half diopters three + +230 +00:16:49,300 --> 00:16:58,920 +and a half diopters then R is equal + +231 +00:16:58,920 --> 00:17:04,020 +to half + +232 +00:17:04,020 --> 00:17:10,280 +divided by three and a half diopters + +233 +00:17:14,540 --> 00:17:19,120 +but make sure that the .. the .. the .. the .. the + +234 +00:17:19,120 --> 00:17:19,220 +.. the .. the .. the .. the .. the .. the .. the + +235 +00:17:19,220 --> 00:17:19,220 +.. the .. the .. the .. the .. the .. the .. the + +236 +00:17:19,220 --> 00:17:19,300 +.. the .. the .. the .. the .. the .. the .. the + +237 +00:17:19,300 --> 00:17:20,280 +.. the .. the .. the .. the .. the .. the .. the + +238 +00:17:20,280 --> 00:17:21,420 +.. the .. the .. the .. the .. the .. the .. the + +239 +00:17:21,420 --> 00:17:21,940 +.. the .. the .. the .. the .. the .. the .. the + +240 +00:17:21,940 --> 00:17:22,360 +.. the .. the .. the .. the .. the .. the .. the + +241 +00:17:22,360 --> 00:17:22,360 +.. the .. the .. the .. the .. the .. the .. the + +242 +00:17:22,360 --> 00:17:26,540 +.. the .. the .. the .. the .. the .. the .. the + +243 +00:17:26,540 --> 00:17:26,540 +.. the .. the .. the .. the .. the .. the .. the + +244 +00:17:26,540 --> 00:17:26,540 +.. the .. the .. the .. the .. the .. the .. the + +245 +00:17:26,540 --> 00:17:26,540 +.. the .. the .. the .. the .. the .. the .. the + +246 +00:17:26,540 --> 00:17:26,540 +.. the .. the .. the .. the .. the .. the .. the + +247 +00:17:26,540 --> 00:17:26,540 +.. the .. the .. the .. the .. the .. the .. the + +248 +00:17:26,540 --> 00:17:32,460 +.. the .. the .. the .. the .. the .. + +249 +00:17:32,460 --> 00:17:35,180 +the .. the .. + +250 +00:17:48,040 --> 00:17:50,720 +fourteen or one hundred and forty two thousand + +251 +00:17:50,720 --> 00:17:51,200 +meters. + +252 +00:17:54,280 --> 00:17:57,540 +I still haven't got the power. Now I'm going to + +253 +00:17:57,540 --> 00:18:01,020 +get the power. The power of the refracting service + +254 +00:18:01,020 --> 00:18:09,700 +is equal to N minus N divided by R. + +255 +00:18:16,570 --> 00:18:30,250 +It is equal to 1.5 minus 1 over R which is 142 out + +256 +00:18:30,250 --> 00:18:35,390 +of 1000 It + +257 +00:18:35,390 --> 00:18:39,070 +is equal to + +258 +00:18:39,070 --> 00:18:51,020 +1.5 minus 1 which is half to 142.000 and it equals + +259 +00:18:51,020 --> 00:18:58,220 +142 + +260 +00:18:58,220 --> 00:19:02,820 +.000 meters from the meter because when it comes + +261 +00:19:02,820 --> 00:19:08,420 +out, it becomes a power diopter Let's + +262 +00:19:08,420 --> 00:19:12,140 +go to the calculator to divide half by 142.000 + +263 +00:19:16,390 --> 00:19:20,550 +one and a half divided + +264 +00:19:20,550 --> 00:19:28,030 +by one hundred and forty two thousand is equal to + +265 +00:19:28,030 --> 00:19:30,350 +three and a half diopters three and a half + +266 +00:19:30,350 --> 00:19:36,890 +diopters approximately let's see the answers three + +267 +00:19:36,890 --> 00:19:40,710 +and + +268 +00:19:40,710 --> 00:19:43,840 +a half dioptersThe closest answer is three and a + +269 +00:19:43,840 --> 00:19:48,740 +half diopters As we got the meaning here The + +270 +00:19:48,740 --> 00:19:51,240 +closest answer is three and a half diopters So we + +271 +00:19:51,240 --> 00:19:58,700 +go to the next question Of + +272 +00:19:58,700 --> 00:20:02,960 +course, the question has three marks, three marks + +273 +00:20:02,960 --> 00:20:06,560 +I + +274 +00:20:06,560 --> 00:20:10,300 +have + +275 +00:20:10,300 --> 00:20:14,120 +a questionwhere is the image if we know that + +276 +00:20:14,120 --> 00:20:18,360 +object is 50 cm to the left of the lens and the + +277 +00:20:18,360 --> 00:20:22,920 +transphase magnification x minus 2 from 10 okay + +278 +00:20:22,920 --> 00:20:26,620 +this is a direct question we say that the object + +279 +00:20:26,620 --> 00:20:30,320 +is 50 cm away and the transphase magnification is + +280 +00:20:30,320 --> 00:20:32,740 +x minus 2 from 10 we say that the transphase + +281 +00:20:32,740 --> 00:20:35,580 +magnification is the image distance over the + +282 +00:20:35,580 --> 00:20:38,400 +object distance we repeat directly the transphase + +283 +00:20:38,400 --> 00:20:42,940 +magnification is minus 2 from 10The image distance + +284 +00:20:42,940 --> 00:20:46,040 +is unknown and the object distance is less than 5 + +285 +00:20:46,040 --> 00:20:49,640 +meters. Why is it less than 5 meters? Because we + +286 +00:20:49,640 --> 00:20:53,120 +are dealing with distances that are less than 5 + +287 +00:20:53,120 --> 00:20:57,820 +meters.عشان أعرف ال image بضرب الاتنين في بعض، إذا + +288 +00:20:57,820 --> 00:21:03,260 +ال image تساوي minus 2 من 10 في minus نص متر، ال + +289 +00:21:03,260 --> 00:21:06,640 +minus في minus بيصير plus و ال 2 من 10 ضرب نص + +290 +00:21:06,640 --> 00:21:11,120 +بيطلع 1 من 10 متر، إذا plus 1 من 10 متر على اليمين + +291 +00:21:11,120 --> 00:21:16,860 +يعني plus 10 cm، plus 10 cm، نشوف الإجابات، طبعا + +292 +00:21:16,860 --> 00:21:20,540 +10 cm to the right of the lens، 10 cm to the right + +293 +00:21:20,540 --> 00:21:25,330 +of the lens، هذا هو الجواب الصحيحIn para-axial + +294 +00:21:25,330 --> 00:21:27,390 +regions, the surface of spherical refracting + +295 +00:21:27,390 --> 00:21:30,250 +surfaces can be considered flat. + +296 +00:21:32,210 --> 00:21:36,110 +The more + +297 +00:21:36,110 --> 00:21:38,710 +the difference in refractive indices between the + +298 +00:21:38,710 --> 00:21:39,350 +two media, + +299 +00:21:48,650 --> 00:21:53,230 +كل مكان more كل مكانة الـ small critical angle. + +300 +00:21:53,270 --> 00:21:55,390 +The smaller the critical angle. + +301 +00:22:00,910 --> 00:22:06,070 +طيب. An object 20 cm to the left of a thin lens in + +302 +00:22:06,070 --> 00:22:09,550 +air, the image is formed to the right of the lens + +303 +00:22:09,550 --> 00:22:12,750 +at a distance of 20 cm. What is the power of the + +304 +00:22:12,750 --> 00:22:14,990 +lens? هذا سؤال أيضا رسمناه. + +305 +00:22:17,710 --> 00:22:21,230 +The object is 20 cm to the left and the image is + +306 +00:22:21,230 --> 00:22:26,130 +20 cm to the right. What is the power of the lens? + +307 +00:22:26,570 --> 00:22:29,390 +We say negative n over o plus p is equal to + +308 +00:22:29,390 --> 00:22:32,470 +uncertainty over i. Thin lens equation. Negative + +309 +00:22:32,470 --> 00:22:35,870 +one over two of ten meters plus the power is equal + +310 +00:22:35,870 --> 00:22:41,050 +to one over two of ten meters. Notice herethe + +311 +00:22:41,050 --> 00:22:45,550 +distance or the divergent ray, divergent ray, I + +312 +00:22:45,550 --> 00:22:49,090 +give it minus, or even in distances, this distance + +313 +00:22:49,090 --> 00:22:51,210 +on the left I give it minus, here the distance on + +314 +00:22:51,210 --> 00:22:55,830 +the right I give it plus Okay, so minus one out of + +315 +00:22:55,830 --> 00:22:58,690 +two out of ten, minus five, and the meter turns + +316 +00:22:58,690 --> 00:23:02,190 +out to be minus five diopter plus powerhere it's + +317 +00:23:02,190 --> 00:23:04,270 +the same thing but the sign is plus one and two + +318 +00:23:04,270 --> 00:23:06,470 +from ten is five and the meter turns out to be one + +319 +00:23:06,470 --> 00:23:09,570 +minus one which is the diopter so minus five + +320 +00:23:09,570 --> 00:23:13,070 +diopters plus the power equals five diopters or + +321 +00:23:13,070 --> 00:23:16,150 +plus five diopters when I subtract minus five from + +322 +00:23:16,150 --> 00:23:18,950 +the other side and it becomes plus five plus five + +323 +00:23:18,950 --> 00:23:22,730 +with plus five so the power is plus ten diopters + +324 +00:23:22,730 --> 00:23:26,270 +so the power is plus ten diopters and this is the + +325 +00:23:26,270 --> 00:23:26,870 +correct answer + +326 +00:23:31,420 --> 00:23:34,560 +What is the transphase magnification if we know + +327 +00:23:34,560 --> 00:23:38,640 +that the object is 50 cm to the left of a lens and + +328 +00:23:38,640 --> 00:23:42,080 +the image is 20 cm to the right of the lens? + +329 +00:23:54,300 --> 00:23:56,560 +transfers magnification is equal to image distance + +330 +00:23:56,560 --> 00:24:00,020 +over object distance, the image distance is plus 2 + +331 +00:24:00,020 --> 00:24:02,840 +out of 10 meters, the object distance is minus + +332 +00:24:02,840 --> 00:24:05,420 +half a meter, plus 2 out of 10 meters is plus 20 + +333 +00:24:05,420 --> 00:24:08,440 +centimeters, and here minus 50 centimeters, so the + +334 +00:24:08,440 --> 00:24:13,360 +answer is x minus 4 out of 10, x minus 4 out of 10 + +335 +00:24:13,360 --> 00:24:18,880 +is the correct answerIn an optical medium, the + +336 +00:24:18,880 --> 00:24:21,860 +longer the wavelength of light passing through it, + +337 +00:24:22,140 --> 00:24:25,660 +the lower the refractive index of that medium for + +338 +00:24:25,660 --> 00:24:26,660 +that wavelength. + +339 +00:24:48,660 --> 00:24:51,440 +An object stands 0.5 meters to the left of a + +340 +00:24:51,440 --> 00:24:55,660 +single refracting surface with R 5 cm and for air + +341 +00:24:55,660 --> 00:24:58,380 +of course 1 and for glass 1.5 meters. Where is the + +342 +00:24:58,380 --> 00:25:02,420 +image and what is transphase magnification? So the + +343 +00:25:02,420 --> 00:25:04,960 +object is about 0.5 meters away and the radius is + +344 +00:25:04,960 --> 00:25:06,000 +5 cm. + +345 +00:25:20,660 --> 00:25:24,000 +single refractive, the radius is 5What is required + +346 +00:25:24,000 --> 00:25:27,000 +is the image and the transference magnification. + +347 +00:25:27,100 --> 00:25:30,980 +We say negative n over O plus negative n over R is + +348 +00:25:30,980 --> 00:25:34,180 +equal to negative n over I minus one over half a + +349 +00:25:34,180 --> 00:25:35,900 +meter which is the distance of the object which is + +350 +00:25:35,900 --> 00:25:39,340 +O plus one and a half minus one which is negative + +351 +00:25:39,340 --> 00:25:43,140 +n over R which is five centimeters. Note that five + +352 +00:25:43,140 --> 00:25:45,300 +centimeters is not half a meter. Fifty centimeters + +353 +00:25:45,300 --> 00:25:47,160 +is half a meter. Five centimeters is five out of + +354 +00:25:47,160 --> 00:25:49,640 +one hundred meters. It is equal to negative n over + +355 +00:25:49,640 --> 00:25:51,260 +I which is negative one and a half over the + +356 +00:25:51,260 --> 00:25:54,980 +unknown I.minus 1 over half becomes minus 2 and + +357 +00:25:54,980 --> 00:25:58,840 +the meter becomes diopter when it goes up plus 1 + +358 +00:25:58,840 --> 00:26:02,040 +and a half minus 1 is half the half when I + +359 +00:26:02,040 --> 00:26:05,240 +multiply by 5 from 100 it becomes 10 and the meter + +360 +00:26:05,240 --> 00:26:09,060 +becomes diopter so minus 2 diopter plus 10 diopter + +361 +00:26:09,060 --> 00:26:12,180 +equals 1 and a half over I goes down as it is + +362 +00:26:12,180 --> 00:26:16,380 +minus 2 and plus 10 remains plus 8 diopter equals + +363 +00:26:16,380 --> 00:26:21,000 +1 and a half over Iإذن I تساوي واحد و نص على + +364 +00:26:21,000 --> 00:26:26,060 +تمانية ديوبتر و يساوي مية أو الف و تمانية و خمسة و + +365 +00:26:26,060 --> 00:26:28,700 +سبعين، ممكن نقول مية و سبعة و تمانين من الف من + +366 +00:26:28,700 --> 00:26:31,940 +المتر، يعني تمانتاشر صانتي و تلت تربع، تمانتاشر + +367 +00:26:31,940 --> 00:26:35,760 +صانتي و تلت تربع على اليمين لإنها طلعت بالإبلاس + +368 +00:26:36,750 --> 00:26:39,330 +Transphase Magnification Image Distance by Object + +369 +00:26:39,330 --> 00:26:42,790 +Distance Now there is a point that the image + +370 +00:26:42,790 --> 00:26:47,170 +distance is 18.75 meters and the object distance + +371 +00:26:47,170 --> 00:26:49,370 +is half a meter, but we agreed that it should be + +372 +00:26:49,370 --> 00:26:54,110 +measured from the radius of curvature5 cm will be + +373 +00:26:54,110 --> 00:26:56,270 +added to the distance of the object and will be + +374 +00:26:56,270 --> 00:26:59,650 +subtracted from the distance of the image when I + +375 +00:26:59,650 --> 00:27:01,170 +subtract from the distance of the image which is + +376 +00:27:01,170 --> 00:27:05,770 +18 and three quarters 5 cm will subtract 13.75 cm + +377 +00:27:05,770 --> 00:27:09,470 +from 100 cm when I add to the half meter 5 cm will + +378 +00:27:09,470 --> 00:27:13,370 +become 55 cm so the transfer magnification is + +379 +00:27:13,370 --> 00:27:17,710 +equal to13.75 cm which is the distance of the + +380 +00:27:17,710 --> 00:27:22,790 +image from the center of curvature to minus 55 + +381 +00:27:22,790 --> 00:27:25,030 +because it is on the left which is equal to x + +382 +00:27:25,030 --> 00:27:27,670 +minus quarter which is equal to x minus quarter so + +383 +00:27:27,670 --> 00:27:30,510 +the image distance from the surface of the + +384 +00:27:30,510 --> 00:27:34,660 +refracting surface is 18.75 cmand the transference + +385 +00:27:34,660 --> 00:27:37,860 +magnification is x minus a quarter, x minus a + +386 +00:27:37,860 --> 00:27:40,100 +quarter, so eighteen and three quarters + +387 +00:27:40,100 --> 00:27:42,540 +centimeters and the transference magnification is + +388 +00:27:42,540 --> 00:27:46,180 +x minus a quarter by mistake in the program, the + +389 +00:27:46,180 --> 00:27:48,560 +answer was set to eighteen and three quarters + +390 +00:27:48,560 --> 00:27:50,440 +centimeters + +391 +00:27:51,610 --> 00:27:54,850 +Eighteen and three quarters of an inch, here, + +392 +00:27:54,950 --> 00:27:57,250 +eighteen and three quarters of an inch and the + +393 +00:27:57,250 --> 00:27:59,370 +transference magnification minus four is this + +394 +00:27:59,370 --> 00:28:01,990 +error that was modified, so that's why some + +395 +00:28:01,990 --> 00:28:04,710 +students found that the mark went down because + +396 +00:28:04,710 --> 00:28:07,210 +they had solved the error and considered that it + +397 +00:28:07,210 --> 00:28:10,550 +was a correct answer, this is the correct answer, + +398 +00:28:10,670 --> 00:28:13,370 +this is the correct answer, let's move to the next + +399 +00:28:13,370 --> 00:28:19,960 +questionThis question is very easy, the smaller + +400 +00:28:19,960 --> 00:28:22,880 +the radius of curvature, the more power you have. + +401 +00:28:22,920 --> 00:28:25,300 +This is the most powerful, this is the most + +402 +00:28:25,300 --> 00:28:27,600 +powerful, this is the most powerful, this is the + +403 +00:28:27,600 --> 00:28:27,920 +most powerful, this is the most powerful, this is + +404 +00:28:27,920 --> 00:28:27,920 +the most powerful, this is the most powerful, this + +405 +00:28:27,920 --> 00:28:27,920 +is the most powerful, this is the most powerful, + +406 +00:28:27,920 --> 00:28:27,920 +this is the most powerful, this is the most + +407 +00:28:27,920 --> 00:28:27,980 +powerful, this is the most powerful, this is the + +408 +00:28:27,980 --> 00:28:27,980 +most powerful, this is the most powerful, this is + +409 +00:28:27,980 --> 00:28:29,280 +the most powerful, this is the most powerful, this + +410 +00:28:29,280 --> 00:28:29,320 +is the most powerful, this is the most powerful, + +411 +00:28:29,320 --> 00:28:29,660 +this is the most powerful, this is the most + +412 +00:28:29,660 --> 00:28:29,660 +powerful, this is the most powerful, this is the + +413 +00:28:29,660 --> 00:28:29,860 +most powerful, this is the most powerful, this is + +414 +00:28:29,860 --> 00:28:31,180 +the most powerful, this is the most powerful, this + +415 +00:28:31,180 --> 00:28:32,140 +is the most powerful, this is the most powerful, + +416 +00:28:32,140 --> 00:28:33,880 +this is the most powerful, this is the most + +417 +00:28:33,880 --> 00:28:35,040 +powerful, this is the most powerful, this is the + +418 +00:28:35,040 --> 00:28:37,140 +most powerful, this is the most powerful, this is + +419 +00:28:37,140 --> 00:28:40,640 +the most powerful, this is the most powerful, this + +420 +00:28:43,990 --> 00:28:47,750 +refractive error means a mistake in any of the + +421 +00:28:47,750 --> 00:28:51,670 +image characteristics in the location here we + +422 +00:28:51,670 --> 00:28:57,610 +finished the first version, let's go to the second + +423 +00:28:57,610 --> 00:29:03,610 +version let's go to the second version let's see + +424 +00:29:03,610 --> 00:29:05,910 +what it has, it has similar questions, but there + +425 +00:29:05,910 --> 00:29:07,350 +are some differences + +426 +00:29:11,990 --> 00:29:14,470 +We will start with the first question. + +427 +00:29:17,450 --> 00:29:21,150 +The critical angle is the angle of incidence that + +428 +00:29:21,150 --> 00:29:23,810 +gives an angle of transmission which equals 90 + +429 +00:29:23,810 --> 00:29:24,870 +degrees. The question was asked in the first + +430 +00:29:24,870 --> 00:29:29,890 +version. If the image is 40 cm, also mark 80 cm + +431 +00:29:29,890 --> 00:29:33,150 +above the optical axis. Mark in the same + +432 +00:29:33,150 --> 00:29:36,350 +recording. Whoever wants to go back can go back. + +433 +00:29:40,410 --> 00:29:48,730 +هنا أيضا ..هنا أيضا مر The + +434 +00:29:48,730 --> 00:29:51,870 +higher + +435 +00:29:51,870 --> 00:29:54,730 +the up number for a material, the higher the + +436 +00:29:54,730 --> 00:29:58,110 +dispersion طبعا خطأ لأن كل ما كان ال up number + +437 +00:29:58,110 --> 00:30:01,510 +higher بيكون ال dispersion أقل The lower the + +438 +00:30:01,510 --> 00:30:03,010 +dispersion مش the higher the dispersion + +439 +00:30:07,430 --> 00:30:10,410 +In thin lenses, we can ignore the change of light + +440 +00:30:10,410 --> 00:30:11,670 +divergence on transfer. + +441 +00:30:15,450 --> 00:30:16,310 +Refractive error. + +442 +00:30:20,790 --> 00:30:25,390 +What is the divergence? This is our solution. That + +443 +00:30:25,390 --> 00:30:28,110 +is, at a distance of 2 meters, the distance is 1 + +444 +00:30:28,110 --> 00:30:30,710 +by 2 meters, which is half a diopter. But as long + +445 +00:30:30,710 --> 00:30:33,090 +as it comes from a candle, from a real object, the + +446 +00:30:33,090 --> 00:30:36,450 +divergence is divergent. So minus half a meter. + +447 +00:30:42,660 --> 00:30:47,060 +Okay, let's go to the optical path length, I + +448 +00:30:47,060 --> 00:30:50,740 +prepared the distances and refractive index, let's + +449 +00:30:50,740 --> 00:30:52,460 +see the results + +450 +00:30:57,350 --> 00:30:59,670 +This is the first optical path length, it passes + +451 +00:30:59,670 --> 00:31:03,710 +through air 1, then through glass 1.5, distance 2 + +452 +00:31:03,710 --> 00:31:07,350 +.5 meters, then through water distance 5 meters, + +453 +00:31:07,490 --> 00:31:10,750 +then through silicon oil distance 1.4 meters, all + +454 +00:31:10,750 --> 00:31:14,650 +of them are measured in refractive index 2x1x2 + +455 +00:31:14,650 --> 00:31:22,720 +meters, 2.5x1.5x3.4 meters, 5x1x3.8x6.5 metersand + +456 +00:31:22,720 --> 00:31:26,680 +added 41x45x42 + +457 +00:31:26,680 --> 00:31:30,680 +and 3 from 100 meters as if he walked in the air + +458 +00:31:30,680 --> 00:31:35,100 +14 meters and 28 from 100 meters this in the same + +459 +00:31:35,100 --> 00:31:38,820 +period of time that penetrated these distancesطيب + +460 +00:31:38,820 --> 00:31:42,640 +ال optical path length التاني بطلع عندى سبعتاش و + +461 +00:31:42,640 --> 00:31:47,940 +تسعة من عشرة بما يعادل سبعتاش و تسعة من عشرة متر + +462 +00:31:47,940 --> 00:31:51,920 +في الهوا، إذا ال optical path length التاني أطول + +463 +00:31:51,920 --> 00:31:56,640 +من ال optical path length الأول، إذا which optical + +464 +00:31:56,640 --> 00:32:00,540 +path length is longer, A or B؟ طبعا الإجابة B + +465 +00:32:05,060 --> 00:32:08,280 +This is also an easy question at the end. We have + +466 +00:32:08,280 --> 00:32:13,200 +three radius of curvature, 10 cm, 15 cm and 20 cm. + +467 +00:32:13,580 --> 00:32:15,440 +The larger the radius, the larger the radius of + +468 +00:32:15,440 --> 00:32:19,180 +curvature. So this will take 20 cm, this will take + +469 +00:32:19,180 --> 00:32:22,420 +15 cm and this will take 10 cm. + +470 +00:32:31,170 --> 00:32:34,030 +The longer the wavelength of light, the lower the + +471 +00:32:34,030 --> 00:32:34,890 +refractive index. + +472 +00:32:44,370 --> 00:32:47,450 +Lightly exiting a high-index medium to air is + +473 +00:32:47,450 --> 00:32:50,910 +pinned toward the surface normal؟ لأ away from the + +474 +00:32:50,910 --> 00:32:54,470 +surface normal لما بنتقل من high exiting يعني خارج + +475 +00:32:54,470 --> 00:32:57,770 +من high-index medium to air يعني air to lower + +476 +00:32:57,770 --> 00:33:01,810 +-index medium فبالتالي هيروح away from مش toward + +477 +00:33:01,810 --> 00:33:07,310 +the surface normal إذا الإجابة خاطئة + +478 +00:33:07,310 --> 00:33:11,350 +Larger pinhole gives dimmer خطأ ال smaller pinhole + +479 +00:33:11,350 --> 00:33:13,410 +gives dimmer image + +480 +00:33:16,820 --> 00:33:20,340 +images are imperfect facsimiles, not exact scaled + +481 +00:33:20,340 --> 00:33:22,340 +duplicates of the original object + +482 +00:33:29,320 --> 00:33:32,060 +Total internal reflection occurs when light + +483 +00:33:32,060 --> 00:33:35,360 +travels from a medium with lower refractive index + +484 +00:33:35,360 --> 00:33:37,340 +to a medium with higher refractive index + +485 +00:33:52,770 --> 00:33:56,450 +from higher to lower. If I find from lower to + +486 +00:33:56,450 --> 00:33:58,310 +higher, I will not complete the example. Total + +487 +00:33:58,310 --> 00:34:01,470 +internal reflection is impossible to occur if the + +488 +00:34:01,470 --> 00:34:04,630 +light moves from a lower refractive index medium + +489 +00:34:04,630 --> 00:34:08,970 +to a medium with a higher refractive index. + +490 +00:34:32,470 --> 00:34:36,550 +The more difference in refractive indices between + +491 +00:34:36,550 --> 00:34:39,150 +the two medium, the smaller the critical angle + +492 +00:34:42,640 --> 00:34:45,180 +The image for the dianoptical system is the + +493 +00:34:45,180 --> 00:34:49,320 +spatial summation of point spread functions for + +494 +00:34:49,320 --> 00:34:50,400 +every object point. + +495 +00:34:59,270 --> 00:35:02,550 +Single refracting service with R equal quarter + +496 +00:35:02,550 --> 00:35:05,270 +meter and the object is meet centimeter to the + +497 +00:35:05,270 --> 00:35:09,670 +left of this service is a radius quarter meter and + +498 +00:35:09,670 --> 00:35:12,550 +the object is one meter away. Where is the image? + +499 +00:35:12,890 --> 00:35:15,390 +Only the image is required. Let's see the drawing + +500 +00:35:16,530 --> 00:35:18,930 +which explains this situation, this is the + +501 +00:35:18,930 --> 00:35:22,690 +drawing, we say 1 meter and R is quarter meter + +502 +00:35:22,690 --> 00:35:25,590 +which is 25 centimeters, we say negative N over O + +503 +00:35:25,590 --> 00:35:28,750 +plus negative N minus N over R is equal to + +504 +00:35:28,750 --> 00:35:32,470 +negative N minus I minus 1 over 1 meter which is + +505 +00:35:32,470 --> 00:35:35,000 +the distance of the object plusone and a half + +506 +00:35:35,000 --> 00:35:37,220 +minus one over a quarter of a meter which is the + +507 +00:35:37,220 --> 00:35:40,720 +radius which is one and a half minus one over a + +508 +00:35:40,720 --> 00:35:40,760 +quarter of a meter which is the radius which is + +509 +00:35:40,760 --> 00:35:41,820 +one and a half minus one over a quarter of a meter + +510 +00:35:41,820 --> 00:35:43,340 +which is the radius which is one and a half minus + +511 +00:35:43,340 --> 00:35:44,800 +one over a quarter of a meter which is one and a + +512 +00:35:44,800 --> 00:35:44,840 +half minus one over a quarter of a meter which is + +513 +00:35:44,840 --> 00:35:45,680 +one and a half minus one over a quarter of a meter + +514 +00:35:45,680 --> 00:35:46,660 +which is one and a half minus one over a quarter + +515 +00:35:46,660 --> 00:35:49,860 +of a meter which is one and a half minus one over + +516 +00:35:49,860 --> 00:35:51,080 +a quarter of a meter which is one and a half minus + +517 +00:35:51,080 --> 00:35:56,540 +one over a quarter of a meter which is one and + +518 +00:35:56,540 --> 00:35:58,900 +a half minus one over a quarter of a meter which + +519 +00:35:58,900 --> 00:36:01,680 +is one and a half minus one over a quarter of a + +520 +00:36:01,680 --> 00:36:03,820 +meter which is one and a half minus one over a + +521 +00:36:03,820 --> 00:36:03,820 +quarter of a meter which is one and a half minus + +522 +00:36:03,820 --> 00:36:03,820 +one over a quarter of a meter which is one and a + +523 +00:36:03,820 --> 00:36:03,820 +half minus one over a quarter of a meter which is + +524 +00:36:03,820 --> 00:36:03,820 +one and a half minus one over a quarter of a meter + +525 +00:36:03,820 --> 00:36:06,020 +which is one andSo I change the place of one + +526 +00:36:06,020 --> 00:36:08,800 +diopter to become I equals one and a half to plus + +527 +00:36:08,800 --> 00:36:12,080 +one diopter, one and a half to one becomes plus + +528 +00:36:12,080 --> 00:36:14,980 +one and a half, and the diopter becomes a meter. + +529 +00:36:15,300 --> 00:36:17,740 +So plus one and a half meters, then on the right + +530 +00:36:17,740 --> 00:36:19,740 +of the refracting surface with a quantity of one + +531 +00:36:19,740 --> 00:36:23,400 +and a half meters is the correct answer. So plus + +532 +00:36:23,400 --> 00:36:26,780 +one and a half meters. Plus one and a half meters. + +533 +00:36:28,560 --> 00:36:34,430 +See the next question. Okay.An object stands one + +534 +00:36:34,430 --> 00:36:37,270 +meter to the left of a thin lens in air. The power + +535 +00:36:37,270 --> 00:36:40,190 +is plus 5. Where is the image and what is the + +536 +00:36:40,190 --> 00:36:43,010 +transfer's magnification? Let's see the picture + +537 +00:36:43,010 --> 00:36:45,710 +that shows this example. + +538 +00:36:52,710 --> 00:36:53,230 +Okay. + +539 +00:36:58,010 --> 00:37:00,650 +We don't have a picture. Let's make a picture, God + +540 +00:37:00,650 --> 00:37:09,270 +willing.To solve this problem + +541 +00:37:09,270 --> 00:37:18,310 +I have the optical axis and + +542 +00:37:18,310 --> 00:37:24,050 +here I have the lens The + +543 +00:37:24,050 --> 00:37:27,130 +lens has 5 diopters, plus 5 diopters + +544 +00:37:36,910 --> 00:37:43,710 +and the object on the rod let's + +545 +00:37:43,710 --> 00:37:48,470 +go back to the object and say one meter one meter + +546 +00:37:48,470 --> 00:37:59,110 +okay so the distance of the object is one meter we + +547 +00:37:59,110 --> 00:38:01,650 +want to calculate where is the image + +548 +00:38:11,410 --> 00:38:18,810 +and the transfer is magnification we + +549 +00:38:18,810 --> 00:38:26,330 +say u is equal to minus n by o is + +550 +00:38:26,330 --> 00:38:34,950 +equal to minus one by one meter is equal to minus + +551 +00:38:34,950 --> 00:38:41,500 +one diopter quickly I put that the light will + +552 +00:38:41,500 --> 00:38:44,320 +reach a wavelength of minus one diopter this will + +553 +00:38:44,320 --> 00:38:50,100 +be placed on the front surface of the lens the + +554 +00:38:50,100 --> 00:38:52,980 +light will reach a wavelength of one diopter we + +555 +00:38:52,980 --> 00:38:54,380 +will see how much light will come out of the lens + +556 +00:38:54,380 --> 00:39:04,100 +by wavelength we say u plus p equals v + +557 +00:39:05,910 --> 00:39:13,730 +U-1 diopter plus power A5 diopter is equal to V, + +558 +00:39:14,410 --> 00:39:20,390 +so V is equal to plus 4 diopter, plus 4 diopter, + +559 +00:39:21,470 --> 00:39:25,230 +so the light will come out in a fluctuation, in a + +560 +00:39:25,230 --> 00:39:26,510 +fluctuation of the amount A + +561 +00:39:32,980 --> 00:39:36,820 +plus 4 diopter means that I am plural in the case + +562 +00:39:36,820 --> 00:39:39,220 +of apostrophe I am plural because plus, the virgin + +563 +00:39:39,220 --> 00:39:42,440 +is plus as long as I am plural, it will form a + +564 +00:39:42,440 --> 00:39:45,900 +real picture in whatever space we want to see + +565 +00:39:45,900 --> 00:39:48,520 +where this picture is let's say v equals + +566 +00:39:48,520 --> 00:39:55,600 +unconditional on i then + +567 +00:39:55,600 --> 00:39:57,100 +i equals + +568 +00:40:04,370 --> 00:40:08,510 +I equals condition + +569 +00:40:08,510 --> 00:40:12,670 +on V which + +570 +00:40:12,670 --> 00:40:16,890 +equals condition which is one because we are in + +571 +00:40:16,890 --> 00:40:20,050 +the air on V which is plus four which is greater + +572 +00:40:20,050 --> 00:40:23,550 +which + +573 +00:40:23,550 --> 00:40:27,530 +equals one over plus four plus quarter + +574 +00:40:37,330 --> 00:40:40,610 +Image distance on the right side of the lens + +575 +00:40:40,610 --> 00:40:44,110 +Transverse + +576 +00:40:44,110 --> 00:40:49,270 +magnification is equal to U over V or image + +577 +00:40:49,270 --> 00:40:50,870 +distance over object distance + +578 +00:40:58,710 --> 00:41:06,530 +imageDistance over objectDistance is + +579 +00:41:06,530 --> 00:41:17,650 +equal to imageDistance plus quarter meter over + +580 +00:41:17,650 --> 00:41:22,130 +objectDistance minus one meter why minus? because + +581 +00:41:22,130 --> 00:41:26,690 +the object is on the left plus over minusgive me + +582 +00:41:26,690 --> 00:41:32,730 +minus, so x minus, and a quarter over one remains + +583 +00:41:32,730 --> 00:41:35,270 +a quarter, anything divided by one remains as it + +584 +00:41:35,270 --> 00:41:39,750 +is, so minus a quarter, minus a quarter, excuse + +585 +00:41:39,750 --> 00:41:47,490 +me, a quarter, x minus a quarter, this is the + +586 +00:41:47,490 --> 00:41:50,850 +transference magnification in this problem + +587 +00:42:06,650 --> 00:42:09,570 +to the right of the lens which transfers + +588 +00:42:09,570 --> 00:42:11,550 +magnification x minus quarter + +589 +00:42:15,720 --> 00:42:18,040 +Total internal reflection occurs when light + +590 +00:42:18,040 --> 00:42:21,500 +travels from a medium with higher refractive index + +591 +00:42:21,500 --> 00:42:24,900 +to a medium with lower refractive index if the + +592 +00:42:24,900 --> 00:42:27,640 +incidence angle is more than the critical angle. + +593 +00:42:33,420 --> 00:42:38,200 +طيب أخر سؤال مر علينا optical system سبعة عدسات + +594 +00:42:38,200 --> 00:42:42,040 +كام degrees of freedom سبعة وعشرين و هيك بنكون + +595 +00:42:42,040 --> 00:42:46,120 +احنا حلنا أسئلة النسختين و يعطيكم العافية والسلام + +596 +00:42:46,120 --> 00:42:48,420 +عليكم ورحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/RX_7k_oEJf0_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/RX_7k_oEJf0_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..f0298d0f6d152f975df709ade90670d48c4f6bf2 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/RX_7k_oEJf0_postprocess.srt @@ -0,0 +1,1128 @@ +1 +00:00:02,190 --> 00:00:06,670 +بسم الله الرحمن الرحيم نستكمل مع محاضرات ال + +2 +00:00:06,670 --> 00:00:11,410 +Geometric Optics واتحدثنا في المرة الماضية عن ال + +3 +00:00:11,410 --> 00:00:15,470 +Transphase Magnification واتوصلنا أن ال Transphase + +4 +00:00:15,470 --> 00:00:19,490 +Magnification إما بيساوي ال image H على ال object + +5 +00:00:19,490 --> 00:00:24,500 +H أوby another equation that is equal to image + +6 +00:00:24,500 --> 00:00:28,180 +distance over object distance and we said that we + +7 +00:00:28,180 --> 00:00:30,400 +have to take care of the signs that are necessary + +8 +00:00:30,400 --> 00:00:33,760 +if we use the heights, let's say image hat over + +9 +00:00:33,760 --> 00:00:38,220 +object hat, every height under the optical axis + +10 +00:00:38,220 --> 00:00:41,620 +takes minus sign and every height above the + +11 +00:00:41,620 --> 00:00:45,960 +optical axis takes plus sign regardless of the + +12 +00:00:45,960 --> 00:00:49,140 +height of the image or objectwhen we move to the + +13 +00:00:49,140 --> 00:00:52,380 +second equation which transfers magnification + +14 +00:00:52,380 --> 00:00:55,580 +which is image distance over object distance we + +15 +00:00:55,580 --> 00:00:57,520 +say that the distance to the right of the optical + +16 +00:00:57,520 --> 00:01:00,080 +system or the right of the lens is considered plus + +17 +00:01:00,080 --> 00:01:02,940 +and the distance to the left of the optical system + +18 +00:01:02,940 --> 00:01:06,620 +is considered minus today we will take angular + +19 +00:01:06,620 --> 00:01:13,540 +magnification which is the ratio of angular height + +20 +00:01:13,910 --> 00:01:17,990 +subtended by an object seen by the eye through a + +21 +00:01:17,990 --> 00:01:22,050 +magnifying lens to the angular head subtended by + +22 +00:01:22,050 --> 00:01:26,470 +the same object viewed without the magnifying lens + +23 +00:01:26,470 --> 00:01:33,520 +لو احنا قلنا احنا حابين نطلع على object معينon a + +24 +00:01:33,520 --> 00:01:37,460 +certain object using a lens, using a lens If we go + +25 +00:01:37,460 --> 00:01:40,400 +to the magnifying glass, it will be clearer Using + +26 +00:01:40,400 --> 00:01:43,020 +a lens, we will see this lens which is the + +27 +00:01:43,020 --> 00:01:45,860 +magnifier or the magnifying glass or the blast + +28 +00:01:45,860 --> 00:01:50,340 +lens We see this magnified body If we remove the + +29 +00:01:50,340 --> 00:01:54,300 +lens and try to look at it, we see its true size + +30 +00:01:54,300 --> 00:02:00,520 +Actually, the angular magnificationOr the angle of + +31 +00:02:00,520 --> 00:02:03,620 +magnification, the angle of magnification is the + +32 +00:02:03,620 --> 00:02:07,100 +ratio of the angle of magnification, the angular + +33 +00:02:07,100 --> 00:02:08,280 +height, which means how much is the angle of + +34 +00:02:08,280 --> 00:02:14,220 +magnification that this body does with meby means + +35 +00:02:14,220 --> 00:02:17,160 +of a magnifying glass, not its height or the angle + +36 +00:02:17,160 --> 00:02:19,840 +it makes with my eye without the magnifying glass + +37 +00:02:19,840 --> 00:02:25,880 +Now, this is the person who looks at this body or + +38 +00:02:25,880 --> 00:02:28,060 +the image of this body Why do we say image? + +39 +00:02:28,160 --> 00:02:31,430 +Because through the lens we see the imageما بنشوف + +40 +00:02:31,430 --> 00:02:34,930 +الجسم الحقيقي يعني كل إنسان بتطلع من خلال عدسة + +41 +00:02:34,930 --> 00:02:40,950 +بشوف صورة الجسم اللي هو بتطلع عليه فبالتالي الآن + +42 +00:02:40,950 --> 00:02:44,050 +أنا بتطلع من خلال هذه العدسة المكبرة أو ال + +43 +00:02:44,050 --> 00:02:48,790 +magnifier بطلع + +44 +00:02:48,790 --> 00:02:53,870 +و بشوف جداش بعمل مع عيني مع عيني + +45 +00:02:58,460 --> 00:03:03,100 +فبالتالي بعمل زاوية معينة مع عيني، هذه الزاوية + +46 +00:03:03,100 --> 00:03:07,520 +بدنا نفرض إنه و أنا بتطلع عليه من ال magnifier عمل + +47 +00:03:07,520 --> 00:03:12,220 +زاوية أربعين degree، أربعين degree مع عيني، من قمة + +48 +00:03:12,220 --> 00:03:17,060 +هذا الصورة، لا أسفلهاIt makes an angle with my eye + +49 +00:03:17,060 --> 00:03:21,960 +that is 40 degrees. Okay, I removed the magnifying + +50 +00:03:21,960 --> 00:03:24,720 +glass and started looking at the body directly, so + +51 +00:03:24,720 --> 00:03:29,260 +we assume that it makes an angle with my eye that + +52 +00:03:29,260 --> 00:03:32,540 +is 20 degrees. So with the magnifying glass, it + +53 +00:03:32,540 --> 00:03:36,410 +made 40 degreeswith an angle of 40 degrees without + +54 +00:03:36,410 --> 00:03:39,450 +the magnified lens being 20 degrees so the + +55 +00:03:39,450 --> 00:03:42,290 +magnification ratio of the angle is approximately + +56 +00:03:42,290 --> 00:03:45,510 +2 times 2 times 2 times 2 times 2 times 2 times 2 + +57 +00:03:45,510 --> 00:03:45,630 +times 2 times 2 times 2 times 2 times 2 times 2 + +58 +00:03:45,630 --> 00:03:45,970 +times 2 times 2 times 2 times 2 times 2 times 2 + +59 +00:03:45,970 --> 00:03:47,210 +times 2 times 2 times 2 times 2 times 2 times 2 + +60 +00:03:47,210 --> 00:03:47,710 +times 2 times 2 times 2 times 2 times 2 times 2 + +61 +00:03:47,710 --> 00:03:49,070 +times 2 times 2 times 2 times 2 times 2 times 2 + +62 +00:03:49,070 --> 00:03:49,150 +times 2 times 2 times 2 times 2 times 2 times 2 + +63 +00:03:49,150 --> 00:03:51,450 +times 2 times 2 times 2 times 2 times 2 times 2 + +64 +00:03:51,450 --> 00:04:01,670 +times 2 times 2 times 2 timesor the angle without + +65 +00:04:01,670 --> 00:04:04,750 +the magnifying lens, without the magnifying lens, + +66 +00:04:05,050 --> 00:04:08,570 +so this is what is meant by angular magnification + +67 +00:04:08,570 --> 00:04:14,010 +So, + +68 +00:04:14,170 --> 00:04:18,110 +the ratio of angular height subtended, which is + +69 +00:04:18,110 --> 00:04:22,360 +done by an objectبواسطة الجسم seen by the eye + +70 +00:04:22,360 --> 00:04:26,720 +through a magnifying lens على ال angular head + +71 +00:04:26,720 --> 00:04:30,620 +subtended المعمول by the same object viewed + +72 +00:04:30,620 --> 00:04:34,880 +without magnifying lens يعني أنا اتطلعت على جسم + +73 +00:04:34,880 --> 00:04:38,720 +بدون أي واسطة بدون عدسات و هذا الجسم اللي أنا + +74 +00:04:38,720 --> 00:04:43,060 +بتطلع عليه عمل + +75 +00:04:43,060 --> 00:04:47,260 +زاوية معيني زاوية معينة بعدين قررت أشوف هذا الجسم + +76 +00:04:48,000 --> 00:04:53,540 +by using a magnifier or a magnifying glass So I + +77 +00:04:53,540 --> 00:04:56,640 +saw this body magnified Why did I see it + +78 +00:04:56,640 --> 00:04:59,740 +magnified? Because the magnifying glass made a + +79 +00:04:59,740 --> 00:05:02,300 +picture of it This picture makes an angle with my + +80 +00:05:02,300 --> 00:05:08,960 +eye bigger than what the real body made without + +81 +00:05:08,960 --> 00:05:12,880 +the magnifying glass So the real body made 10 + +82 +00:05:12,880 --> 00:05:15,620 +degrees with my eye at a distance of one meterI + +83 +00:05:15,620 --> 00:05:17,520 +will leave the object at a distance of one meter, + +84 +00:05:17,600 --> 00:05:20,700 +but I will use in my vision a magnifying glass Now + +85 +00:05:20,700 --> 00:05:26,800 +I saw it magnified a lot because the magnifying + +86 +00:05:26,800 --> 00:05:28,960 +glass made a picture of it This picture makes a + +87 +00:05:28,960 --> 00:05:32,660 +corner with an eye of 25 degrees So without the + +88 +00:05:32,660 --> 00:05:35,960 +magnifying glass, the object itself works with an + +89 +00:05:35,960 --> 00:05:40,200 +eye of 10 degrees Through the magnifying glass, a + +90 +00:05:40,200 --> 00:05:41,860 +picture was created of it This picture works with + +91 +00:05:41,860 --> 00:05:46,010 +an eye of 25 degreesإذا نسبة التكبير الزاوي أو ال + +92 +00:05:46,010 --> 00:05:51,030 +angular magnification مرتين و نص بدل عشرة صار خمسة + +93 +00:05:51,030 --> 00:05:54,950 +و عشرين يعني كبر مرتين و نص أو صار الزاوية اللي + +94 +00:05:54,950 --> 00:06:00,810 +بيعملها مع عيني مرتين و نص ضعف ما كانت أول على + +95 +00:06:00,810 --> 00:06:08,130 +فكرة أي شيء بدأ أشوفه بعيني لازم يعمل ارتفاع زاوية + +96 +00:06:08,130 --> 00:06:12,590 +زاوية مع العين لو أنا انسان واقف واقف بالقرب منيI + +97 +00:06:12,590 --> 00:06:17,610 +will see that he is 1.70 meters tall. This person + +98 +00:06:17,610 --> 00:06:20,770 +started walking away from me while I was watching + +99 +00:06:20,770 --> 00:06:24,250 +him. He became 100 meters or 200 meters away. I + +100 +00:06:24,250 --> 00:06:27,430 +started to see that his size is very small. What + +101 +00:06:27,430 --> 00:06:29,990 +is the reason? Did his size really change or did + +102 +00:06:29,990 --> 00:06:33,070 +his height really increase? The truth is no, his + +103 +00:06:33,070 --> 00:06:36,110 +height is the same, it does not change, okay? But + +104 +00:06:36,110 --> 00:06:38,830 +what changes is that when he became far away, the + +105 +00:06:38,830 --> 00:06:43,010 +angle that he makes with my eyeصغيرة كتير فبالتالي + +106 +00:06:43,010 --> 00:06:51,850 +يعني أصبح يعني يبدو ليه صغيرة أصبح يبدو ليه صغيرة + +107 +00:06:52,090 --> 00:06:54,730 +Another example on this topic clarifies the idea, + +108 +00:06:55,010 --> 00:06:59,290 +if I hold a metal metal piece and I look at the + +109 +00:06:59,290 --> 00:07:03,190 +sun and I start to put the metal piece and bring + +110 +00:07:03,190 --> 00:07:05,590 +it closer to my eye, there will be a certain + +111 +00:07:05,590 --> 00:07:08,610 +moment that through the metal piece I completely + +112 +00:07:08,610 --> 00:07:11,750 +hide the sun's rays, I keep trying and trying + +113 +00:07:11,750 --> 00:07:16,790 +until I only see the metal piece and not the sun's + +114 +00:07:16,790 --> 00:07:19,890 +rays at allDoes it mean that the metal piece is + +115 +00:07:19,890 --> 00:07:23,030 +bigger than the sun? Of course not, because the + +116 +00:07:23,030 --> 00:07:25,630 +sun is bigger than the ball of earth, than the + +117 +00:07:25,630 --> 00:07:28,430 +earth ball, all of them are about a million times + +118 +00:07:28,430 --> 00:07:30,690 +bigger than it, that is nine times inside it, + +119 +00:07:30,990 --> 00:07:34,190 +about a million earth balls, but what does it mean + +120 +00:07:34,190 --> 00:07:38,760 +that this small metal pieceSo it covered the huge + +121 +00:07:38,760 --> 00:07:45,440 +sun because of the huge distance from the earth + +122 +00:07:45,440 --> 00:07:49,480 +which is 150 million kilometers, it makes a + +123 +00:07:49,480 --> 00:07:52,160 +certain angle with my eye Now when I tried the + +124 +00:07:52,160 --> 00:07:55,780 +metal piece in front of my eye and I reached a + +125 +00:07:55,780 --> 00:08:00,140 +certain distance, the metal piece made a certain + +126 +00:08:00,140 --> 00:08:03,050 +angle with my eyebigger than what the sun made, so + +127 +00:08:03,050 --> 00:08:07,310 +it became bigger and covered the sun's axis in a + +128 +00:08:07,310 --> 00:08:11,830 +big way in a big way now this is the idea of + +129 +00:08:11,830 --> 00:08:14,030 +​​angular magnification and the idea of ​​angular + +130 +00:08:14,030 --> 00:08:19,510 +magnification that it is the ratio of the angle + +131 +00:08:19,510 --> 00:08:23,830 +that the body makes or the shape of the body by + +132 +00:08:23,830 --> 00:08:33,090 +using magnifier withالى الزاوية اللى بيعملها الجسم + +133 +00:08:33,090 --> 00:08:36,690 +نفسه بدون ال magnifier بدون ال magnifier By + +134 +00:08:36,690 --> 00:08:40,330 +convention, the standard viewing distance for this + +135 +00:08:40,330 --> 00:08:44,710 +comparison is خمسة و عشرين سانتيScientists came to + +136 +00:08:44,710 --> 00:08:47,250 +know that we need to fix the distance, to + +137 +00:08:47,250 --> 00:08:50,350 +calculate the angular magnification I can + +138 +00:08:50,350 --> 00:08:52,310 +calculate it on any distance, but they came to + +139 +00:08:52,310 --> 00:08:55,810 +know that the standard distance is 25 centimeters + +140 +00:08:55,810 --> 00:08:57,850 +or a quarter of a meter, a quarter of a meter So + +141 +00:08:57,850 --> 00:09:00,110 +if you want to know the angular magnification, + +142 +00:09:00,230 --> 00:09:04,790 +which you do with any lens, any lens I go and get + +143 +00:09:04,790 --> 00:09:07,970 +a body a quarter of a meter away, I look at this + +144 +00:09:07,970 --> 00:09:10,770 +body a quarter of a meter away with the naked eye + +145 +00:09:11,240 --> 00:09:13,740 +and I see how much it makes an angle with my eye + +146 +00:09:13,740 --> 00:09:17,020 +and then I put a magnifier in front of my eye and + +147 +00:09:17,020 --> 00:09:19,900 +I see this object which is the same object at a + +148 +00:09:19,900 --> 00:09:22,460 +distance of 25 centimeters I see its image now + +149 +00:09:22,460 --> 00:09:25,240 +through the magnifier how much it made an angle + +150 +00:09:25,240 --> 00:09:28,660 +with my eye the magnification ratio in this angle + +151 +00:09:28,660 --> 00:09:31,480 +is considered the angular magnification that is if + +152 +00:09:31,480 --> 00:09:33,580 +this object which is at a distance of 25 + +153 +00:09:33,580 --> 00:09:36,220 +centimeters made an angle with my eye of 10 + +154 +00:09:36,220 --> 00:09:42,750 +degrees and through the magnifierعمل خمسين دجري او + +155 +00:09:42,750 --> 00:09:46,770 +صورته عملت خمسين دجري معناته الزاوية كبرت خمس مرات + +156 +00:09:46,770 --> 00:09:50,450 +فبتالي ال angular magnification دارب خمسة اذا for + +157 +00:09:50,450 --> 00:09:54,330 +a small angle the angular magnification provided + +158 +00:09:54,330 --> 00:09:58,770 +by a simple magnifier is independent of the actual + +159 +00:09:58,770 --> 00:10:03,200 +object sitemeans in the small angles that are + +160 +00:10:03,200 --> 00:10:05,960 +processed with the eye through the bodies it has + +161 +00:10:05,960 --> 00:10:08,240 +nothing to do with the size of the real body + +162 +00:10:08,240 --> 00:10:12,700 +rather we bring the angular magnification through + +163 +00:10:12,700 --> 00:10:16,580 +a very simple equation you say that the angular + +164 +00:10:16,580 --> 00:10:19,060 +magnification is equal to a quarter from where did + +165 +00:10:19,060 --> 00:10:20,820 +the word quarter come from? from a quarter of a + +166 +00:10:20,820 --> 00:10:23,840 +meter the measurements in the geometric optics are + +167 +00:10:23,840 --> 00:10:26,560 +all in meters not in centimeters what happened in + +168 +00:10:26,560 --> 00:10:28,940 +the manuscripts and this is what happened in the + +169 +00:10:28,940 --> 00:10:33,550 +prismaticsهنيجيها في وقتها، اذا ربع متر ضرب ال P + +170 +00:10:33,550 --> 00:10:37,170 +اللي هو ال power بتاعة ال magnifier، يعني لو انا + +171 +00:10:37,170 --> 00:10:41,570 +عندى .. لو انا عندى magnifier .. magnifier قوته + +172 +00:10:41,570 --> 00:10:45,490 +plus عشرين، طبعا هنا المعادلة ربع في P يعني يسوى P + +173 +00:10:45,490 --> 00:10:49,490 +على اربع، هنافسة M تسوى P على اربع، يعني عشان نعرف + +174 +00:10:49,490 --> 00:10:53,350 +ال magnification تاع اي magnifier تاع اي magnifier + +175 +00:10:54,780 --> 00:10:59,040 +عشان نعرف ال magnification تاع أي magnifier، بنجسم + +176 +00:10:59,040 --> 00:11:02,740 +ال power تاعت ال magnifier على أربعة، على أربعة لو + +177 +00:11:02,740 --> 00:11:06,420 +ال magnifier putو عشرين، بنجسمه عشرين على أربعة + +178 +00:11:06,420 --> 00:11:10,780 +يعني ضرب خمسة، ضرب خمسة، إيش يعني ضرب خمسة؟ يعني + +179 +00:11:10,780 --> 00:11:15,870 +لو بدأ أستخدم هذا ال magnifier لرؤية object ماIt + +180 +00:11:15,870 --> 00:11:18,850 +will make a magnification in the angle that this + +181 +00:11:18,850 --> 00:11:23,370 +object makes with my eye by 5 times, 20 by 4 Of + +182 +00:11:23,370 --> 00:11:26,730 +course, it is known in advance that as long as it + +183 +00:11:26,730 --> 00:11:29,810 +is divided by 4, it means that the distance is a + +184 +00:11:29,810 --> 00:11:31,750 +quarter of a meter, which is the approximate + +185 +00:11:31,750 --> 00:11:34,030 +distance on it And it is the approximate distance + +186 +00:11:34,030 --> 00:11:38,130 +on it Of course, it is clear from the picture that + +187 +00:11:38,130 --> 00:11:41,260 +through the magnifier, the angle is greaterهذه + +188 +00:11:41,260 --> 00:11:44,460 +الزاوية اللى بعملها معينى بدون ال magnifier وهذه + +189 +00:11:44,460 --> 00:11:48,060 +الزاوية اللى بتعملها صورة الجسم الان بنتبطل نحكى + +190 +00:11:48,060 --> 00:11:51,140 +عن الجسم لإنه أنا بتطلع من خلال ال magnifier أنا + +191 +00:11:51,140 --> 00:11:56,580 +بشوف صورة الجسم أنا بشوف صورة الجسم الان بننتقل + +192 +00:11:56,580 --> 00:12:00,060 +لنوع أخر من ال magnification اللى هو ال axial + +193 +00:12:00,060 --> 00:12:05,400 +magnification ال axial magnificationalso known as + +194 +00:12:05,400 --> 00:12:08,160 +longitudinal magnification longitudinal + +195 +00:12:08,160 --> 00:12:12,500 +magnification is measured along the optical axis + +196 +00:12:12,500 --> 00:12:17,140 +is measured along the optical axis وحنيجي ناخد + +197 +00:12:17,140 --> 00:12:21,780 +فكرة إيش هو أو إيش المقصود بال .. ال .. ال axial + +198 +00:12:21,780 --> 00:12:26,020 +magnification بدنا نوضحها بصورة سبقة معناها في + +199 +00:12:26,020 --> 00:12:31,780 +المحاضرة الآن أنا عندي .. هاي ال object .. هاي ال + +200 +00:12:31,780 --> 00:12:34,930 +objectWe will draw it on the left as it is clear + +201 +00:12:34,930 --> 00:12:38,910 +and this + +202 +00:12:38,910 --> 00:12:41,730 +image will be on the right of the optical system + +203 +00:12:41,730 --> 00:12:44,210 +in this example. The image may be on the left, but + +204 +00:12:44,210 --> 00:12:47,730 +this is not its time. Now axial magnification is + +205 +00:12:47,730 --> 00:12:52,370 +measured along the optical axis. What is meant is + +206 +00:12:52,370 --> 00:12:55,780 +thatThe closest point in the object, this is + +207 +00:12:55,780 --> 00:12:58,760 +called anterior and this is posterior. This, we + +208 +00:12:58,760 --> 00:13:01,560 +take a point here, the closest point in the object + +209 +00:13:01,560 --> 00:13:03,920 +from the beginning, that is, from the beginning of + +210 +00:13:03,920 --> 00:13:06,940 +the light journey, here is the most point in + +211 +00:13:06,940 --> 00:13:10,180 +front, and here is the farthest point in the back, + +212 +00:13:10,460 --> 00:13:13,420 +that is, here, here in front of the object and + +213 +00:13:13,420 --> 00:13:15,760 +here behind it, and this is the width of the + +214 +00:13:15,760 --> 00:13:20,510 +object, okay? And this is the imageThe most + +215 +00:13:20,510 --> 00:13:22,990 +frontal point in it and the most retrograde point + +216 +00:13:22,990 --> 00:13:26,530 +in it The ratio of expansion in the image The + +217 +00:13:26,530 --> 00:13:30,010 +expansion in the image, not the height The height + +218 +00:13:30,010 --> 00:13:33,590 +increased in length or decreased in height They + +219 +00:13:33,590 --> 00:13:38,730 +call it Transverse Magnification which is the + +220 +00:13:38,730 --> 00:13:40,830 +first type of magnification that we talked about + +221 +00:13:40,830 --> 00:13:44,450 +But the ratio of expansion in the image along the + +222 +00:13:44,450 --> 00:13:48,800 +optical axisتسمى ال axial magnification تسمى ال + +223 +00:13:48,800 --> 00:13:53,000 +axial magnification هل الصورة اطمططت ولا انكمشت + +224 +00:13:53,000 --> 00:13:57,080 +بالعرض؟ هذا بيسموه ال axial ايش؟ magnification ال + +225 +00:13:57,080 --> 00:14:04,100 +axial magnification طيب ال axial magnification is + +226 +00:14:04,100 --> 00:14:09,320 +measured along the optical axis او is known .. + +227 +00:14:09,320 --> 00:14:13,890 +also is known as longitudinal magnificationis + +228 +00:14:13,890 --> 00:14:16,990 +measured along the optical axis for small + +229 +00:14:16,990 --> 00:14:20,010 +distances around the image planeAxial + +230 +00:14:20,010 --> 00:14:23,350 +magnification is the square of the transverse + +231 +00:14:23,350 --> 00:14:27,350 +magnification The equation of axial magnification + +232 +00:14:27,350 --> 00:14:31,390 +is equal to transverse magnification squared + +233 +00:14:31,390 --> 00:14:35,730 +Transverse magnification squared To summarize all + +234 +00:14:35,730 --> 00:14:38,870 +the things that we talked about, we say as follows + +235 +00:14:38,870 --> 00:14:41,810 +We have three types of magnification, and + +236 +00:14:41,810 --> 00:14:44,850 +magnification is the first attribute of the image + +237 +00:14:45,410 --> 00:14:48,330 +The magnification is the first attribute of the + +238 +00:14:48,330 --> 00:14:50,010 +image attributes We have the transfers + +239 +00:14:50,010 --> 00:14:54,730 +magnification whose equation is equal to image + +240 +00:14:54,730 --> 00:14:58,290 +height over object height or equal to image + +241 +00:14:58,290 --> 00:15:01,540 +distance over object distanceWe have another kind + +242 +00:15:01,540 --> 00:15:05,560 +of magnification which is angular magnification + +243 +00:15:05,560 --> 00:15:09,520 +Which is the ratio of the angle of any object + +244 +00:15:09,520 --> 00:15:14,960 +through a magnifying glass to the angle of the + +245 +00:15:14,960 --> 00:15:17,800 +same object without the magnifying glass And if + +246 +00:15:17,800 --> 00:15:20,900 +the term and the consensus is that the distance + +247 +00:15:20,900 --> 00:15:24,160 +should be constant 25 cm which is a quarter of a + +248 +00:15:24,160 --> 00:15:28,430 +meterSometimes the angular magnification is equal + +249 +00:15:28,430 --> 00:15:31,050 +to a quarter of P, where P is the power of the + +250 +00:15:31,050 --> 00:15:34,670 +magnifier Or it can be modified mathematically, + +251 +00:15:34,970 --> 00:15:38,330 +where M is equal to 1 over 4 into P, where P is + +252 +00:15:38,330 --> 00:15:42,930 +equal to 4, which is the power of the magnifierWe + +253 +00:15:42,930 --> 00:15:45,690 +say that the angular magnification of a magnifier + +254 +00:15:45,690 --> 00:15:48,430 +with a force of 20 is equal to 5, because it is 20 + +255 +00:15:48,430 --> 00:15:51,350 +over 4. Okay, for a magnifier with a force of 10, + +256 +00:15:51,510 --> 00:15:55,530 +10 over 4 is 2 and a half times, what does 2 and a + +257 +00:15:55,530 --> 00:15:57,550 +half times mean? It means that through this + +258 +00:15:57,550 --> 00:16:00,990 +magnifier, a body standing a quarter of a meter + +259 +00:16:00,990 --> 00:16:04,730 +away, through the magnifier, makes an angle twice + +260 +00:16:04,730 --> 00:16:07,390 +and a half times larger than the angle it makes + +261 +00:16:07,390 --> 00:16:10,310 +without the magnifier.The third type of + +262 +00:16:10,310 --> 00:16:15,130 +magnification is axial magnification, which is the + +263 +00:16:15,130 --> 00:16:20,390 +latitude or the longitudinal along the optical + +264 +00:16:20,390 --> 00:16:25,410 +axis in the image compared to the object And we + +265 +00:16:25,410 --> 00:16:27,710 +said, how do we know that the image is vertically + +266 +00:16:27,710 --> 00:16:31,670 +flattened or vertically flattened? We say as + +267 +00:16:31,670 --> 00:16:36,160 +follows that by .. by .. by ..The closest point or + +268 +00:16:36,160 --> 00:16:38,560 +the most .. which means that the left is anterior + +269 +00:16:38,560 --> 00:16:40,740 +because we start from the left and go to the right + +270 +00:16:40,740 --> 00:16:44,000 +Here we say anterior, which means that the more to + +271 +00:16:44,000 --> 00:16:47,660 +the left, the more anterior it is, and the more to + +272 +00:16:47,660 --> 00:16:50,480 +the right, the more posterior it is The most + +273 +00:16:50,480 --> 00:16:53,420 +advanced point in the object and the most distant + +274 +00:16:53,420 --> 00:16:57,640 +point in the object We compare them with the most + +275 +00:16:57,640 --> 00:17:01,460 +advanced point in the image and the most distant + +276 +00:17:01,460 --> 00:17:04,810 +point in the imageWe see if the image is stretched + +277 +00:17:04,810 --> 00:17:09,190 +or flattened or remained as it is Unless the + +278 +00:17:09,190 --> 00:17:13,690 +magnification equation is equal to the transverse + +279 +00:17:13,690 --> 00:17:16,930 +magnification square Transverse magnification + +280 +00:17:16,930 --> 00:17:20,930 +square We will stop in the next lecture, we will + +281 +00:17:20,930 --> 00:17:24,310 +start with the image location and give you the + +282 +00:17:24,310 --> 00:17:24,510 +example + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/T12yPtB_D3A_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/T12yPtB_D3A_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..219a7d77d0b63d22eb911244cc48e29a6ea0609f --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/T12yPtB_D3A_postprocess.srt @@ -0,0 +1,1004 @@ +1 +00:00:01,550 --> 00:00:06,090 +بسم الله الرحمن الرحيم بنتواصل مع محاضرات ال + +2 +00:00:06,090 --> 00:00:10,050 +geometric optics واتوقفنا المرة الماضية عند depth + +3 +00:00:10,050 --> 00:00:17,070 +of focus أو عمق البقرة perform the basic imaging + +4 +00:00:17,070 --> 00:00:19,910 +demonstration with a lens as described before + +5 +00:00:19,910 --> 00:00:24,680 +imaging with lenses and mirrors And notice that if + +6 +00:00:24,680 --> 00:00:28,900 +the paper is moved forward or backward within a + +7 +00:00:28,900 --> 00:00:32,880 +range of a few millimeters, the image remains + +8 +00:00:32,880 --> 00:00:36,740 +relatively focused. With the paper positioned + +9 +00:00:36,740 --> 00:00:40,280 +outside this region, the image appears blurred. + +10 +00:00:40,870 --> 00:00:49,890 +بمعنى هنعيد التجربة بتاعة الشامعة و العدسة و نتلقى + +11 +00:00:49,890 --> 00:00:54,790 +صورة للشامعة على ورقة التلقى او ال A4 هنلاقي + +12 +00:00:54,790 --> 00:01:00,230 +الصورة انها اتكونت في مكان ما من الفراخ خلف العدسة + +13 +00:01:00,230 --> 00:01:08,920 +و الصورة واضحة جدا, focusedلو حركنا ورقة التلقي + +14 +00:01:08,920 --> 00:01:14,180 +إلى الأمام قليلا أو إلى الخلف قليلا، هنلاحظ أن + +15 +00:01:14,180 --> 00:01:19,620 +الصورة لازالة واضحة، ل range معين، لو حركنا ورقة + +16 +00:01:19,620 --> 00:01:23,700 +التلقي للأمام كتير أو للخلف كتير، هتصير الصورة + +17 +00:01:23,700 --> 00:01:32,380 +مربشة، هذا الكلام بدنا نحاول نشوفه + +18 +00:01:32,380 --> 00:01:38,870 +على الصورةit will be better let's go back to the + +19 +00:01:38,870 --> 00:01:45,550 +experiment in + +20 +00:01:45,550 --> 00:01:51,510 +other words, the receipt paper is + +21 +00:01:51,510 --> 00:01:56,090 +in this area, the picture is clear now if we + +22 +00:01:56,090 --> 00:02:00,650 +provide the receipt papersimple millimeters to the + +23 +00:02:00,650 --> 00:02:03,950 +front or we delayed it by simple millimeters to + +24 +00:02:03,950 --> 00:02:06,370 +the back, the picture will remain clear to a + +25 +00:02:06,370 --> 00:02:10,830 +certain range, from to .. from to .. outside this + +26 +00:02:10,830 --> 00:02:14,530 +range, in front of it or behind it, the picture + +27 +00:02:14,530 --> 00:02:16,910 +will not be clear + +28 +00:02:19,760 --> 00:02:25,260 +اللي لو حطينا ورقة التلقي تحت الصورة أو ورقة ال A4 + +29 +00:02:25,260 --> 00:02:29,860 +في داخلها، هذه المسافة، لو حطينا ورقة التلقي في + +30 +00:02:29,860 --> 00:02:34,280 +داخلها، هتكون الصورة عندي واضحة، لو حطينا ورقة + +31 +00:02:34,280 --> 00:02:38,280 +التلقي خارجها، يعني برة منها للخلف أو برة منها + +32 +00:02:38,280 --> 00:02:42,890 +للأمام، هتكون الصورة مش واضحةThis range of clarity + +33 +00:02:42,890 --> 00:02:48,350 +is called depth of focus or عمق البقرة or عمق + +34 +00:02:48,350 --> 00:02:52,810 +البقرة And this is available for most lenses that + +35 +00:02:52,810 --> 00:02:56,130 +have depth of focus, which means a certain area + +36 +00:02:56,130 --> 00:03:01,490 +where I can capture the image clearly Of course + +37 +00:03:01,490 --> 00:03:05,350 +around the main location of the image + +38 +00:03:11,620 --> 00:03:14,920 +This drawing also explains things in a better way + +39 +00:03:14,920 --> 00:03:18,740 +We say that this is the image, the place where I + +40 +00:03:18,740 --> 00:03:22,320 +got it, which is the red arrow, is the image If I + +41 +00:03:22,320 --> 00:03:29,900 +.. If I ..I put the receipt paper in front of me, + +42 +00:03:30,020 --> 00:03:33,220 +if I put it in this area, I will also see a clear + +43 +00:03:33,220 --> 00:03:35,080 +picture, in this area, I will see a clear picture, + +44 +00:03:35,500 --> 00:03:37,860 +in this area, I will see a clear picture, I have + +45 +00:03:37,860 --> 00:03:41,060 +the blue arrow, which is the most point in front + +46 +00:03:41,060 --> 00:03:44,000 +of me, I can get a clear picture of it, outside + +47 +00:03:44,000 --> 00:03:48,100 +it, here, if I put it here, I will have a blurry + +48 +00:03:48,100 --> 00:03:51,380 +picture, also if I go back from the main place of + +49 +00:03:51,380 --> 00:03:55,380 +the picture a little bitهضل أتلقى صورة واضحة، يعني + +50 +00:03:55,380 --> 00:03:59,200 +لو حطيت ورقة ال A4 هنا، هتلقى صورة واضحة لو حطيتها + +51 +00:03:59,200 --> 00:04:04,300 +هنا، لغاية ما أصل لسهم الأخضر، المكان هذا، أخر + +52 +00:04:04,300 --> 00:04:08,420 +منطقة بقدر أشوف فيها صورة واضحةلو حطيت ورقة التلقي + +53 +00:04:08,420 --> 00:04:12,020 +بعده، برات منه، ساعتها الصورة هتكون مربشة، يعني + +54 +00:04:12,020 --> 00:04:15,480 +برات هذا ال range اللي هو بيمتد من السهم الأزرق + +55 +00:04:15,480 --> 00:04:19,820 +للسهم الأخضر، براته إلى الخلف منه أو إلى الأمام + +56 +00:04:19,820 --> 00:04:23,620 +منه، الصورة بتكون مش واضحة، ليش؟ لأنه احنا طلعنا + +57 +00:04:23,620 --> 00:04:29,660 +من المنطقة اللي بيسموها depth of focus أو العمق + +58 +00:04:29,660 --> 00:04:33,900 +البؤري، أو العمق البؤري، اذا كل عدسة الليها depth + +59 +00:04:33,900 --> 00:04:37,830 +ofFocus. Outside with the paper positioned. + +60 +00:04:38,390 --> 00:04:41,850 +Outside this region, the image appears blurred. + +61 +00:04:42,410 --> 00:04:47,510 +لما بنحط ورقة التلقى خارج هذه ال range أو خارج ال + +62 +00:04:47,510 --> 00:04:53,410 +depth of focus، بنحصل على صورة مغبشة مش واضحة لإن + +63 +00:04:53,410 --> 00:04:59,670 +احنا خارج العمق البؤري للعدسة أو لل optical system + +64 +00:04:59,670 --> 00:05:01,250 +أو لل optical system + +65 +00:05:13,270 --> 00:05:18,030 +The size of this region represents the depth of + +66 +00:05:18,030 --> 00:05:21,550 +focus which may be small or large depending on + +67 +00:05:21,550 --> 00:05:22,750 +several factors + +68 +00:05:29,970 --> 00:05:31,730 +It starts from how much to how much? Is it + +69 +00:05:31,730 --> 00:05:35,770 +measured in millimeters or in centimeters? Or in + +70 +00:05:35,770 --> 00:05:39,290 +meters? Or how is it measured? Is it small or big? + +71 +00:05:39,670 --> 00:05:43,410 +Of course, the depth of focus can be small or big + +72 +00:05:43,410 --> 00:05:48,350 +This depends on many factors If we want to give an + +73 +00:05:48,350 --> 00:05:51,710 +example, let's say a person is looking at a tree + +74 +00:05:51,710 --> 00:06:01,430 +50 meters away, a big tree This treeit forms a + +75 +00:06:01,430 --> 00:06:04,170 +picture on the network, it forms a picture on the + +76 +00:06:04,170 --> 00:06:09,550 +network of this person, then .. then the receipt + +77 +00:06:09,550 --> 00:06:12,450 +paper in this case is the network, if this person + +78 +00:06:12,450 --> 00:06:14,690 +tried one meter from the tree, that is, it became + +79 +00:06:14,690 --> 00:06:18,290 +49 meters away or one meter away from its original + +80 +00:06:18,290 --> 00:06:21,010 +location, it became 51 meters and the picture of + +81 +00:06:21,010 --> 00:06:23,990 +the tree remained clear on the network as proof + +82 +00:06:23,990 --> 00:06:30,210 +thatand it's clear, it's focused, it means that it + +83 +00:06:30,210 --> 00:06:34,190 +still sees the tree clearly So I have a range, + +84 +00:06:34,290 --> 00:06:37,470 +depth of focus of two meters and maybe more than + +85 +00:06:37,470 --> 00:06:39,910 +two meters, the reason is that the object is big, + +86 +00:06:39,970 --> 00:06:42,330 +the object is big, there are many factors that + +87 +00:06:42,330 --> 00:06:47,010 +control the depth of focus of the image, the depth + +88 +00:06:47,010 --> 00:06:50,130 +of focus of the image, maybe in other cases when + +89 +00:06:50,130 --> 00:06:55,340 +the object is smalland the experience is limited, + +90 +00:06:55,620 --> 00:07:00,320 +the depth of focus can be very small, it can be + +91 +00:07:00,320 --> 00:07:02,180 +measured in millimeters, it can be measured in + +92 +00:07:02,180 --> 00:07:07,180 +millimeters, so the depth of focus depends on many + +93 +00:07:07,180 --> 00:07:11,760 +factors Okay, what is the benefit of depth of + +94 +00:07:11,760 --> 00:07:15,500 +focus? In the past, depth of focus was of concern + +95 +00:07:15,500 --> 00:07:19,970 +only in the management of presbyopiaHowever, it is + +96 +00:07:19,970 --> 00:07:23,190 +an important concept in refractive surgery as + +97 +00:07:23,190 --> 00:07:29,190 +well. A long time ago before humans discovered the + +98 +00:07:29,190 --> 00:07:32,150 +subject of LASIK, refractive surgery, they + +99 +00:07:32,150 --> 00:07:35,570 +benefited from the issue of depth of focus during + +100 +00:07:35,570 --> 00:07:39,290 +the treatment of breast biopia. Breast biopia, or + +101 +00:07:39,290 --> 00:07:44,730 +short-sightedness,It's a situation that hits the + +102 +00:07:44,730 --> 00:07:48,710 +lens of the eye in a person who is over 40 years + +103 +00:07:48,710 --> 00:07:51,830 +old, so that the lens loses its flexibility and + +104 +00:07:51,830 --> 00:07:56,790 +you can't do accommodationand consequently, a + +105 +00:07:56,790 --> 00:08:01,050 +person needs glasses for reading, a person needs + +106 +00:08:01,050 --> 00:08:03,910 +glasses for reading, this case we call it + +107 +00:08:03,910 --> 00:08:08,870 +presbyopia or presbyopia, presbyopia When a person + +108 +00:08:08,870 --> 00:08:12,190 +wants to describe glasses to this person, these + +109 +00:08:12,190 --> 00:08:14,930 +glasses or lenses that are attached should be + +110 +00:08:14,930 --> 00:08:17,790 +describedin order to help this person who is + +111 +00:08:17,790 --> 00:08:23,710 +presbyopic to read or see things clearly it is + +112 +00:08:23,710 --> 00:08:25,690 +necessary that the lenses that you recommend him + +113 +00:08:25,690 --> 00:08:29,570 +or her have a range of depth of focus that is + +114 +00:08:29,570 --> 00:08:36,720 +comfortable so that if this person reads a bookand + +115 +00:08:36,720 --> 00:08:39,280 +tried to take the book out of his eyes, or even a + +116 +00:08:39,280 --> 00:08:44,840 +little bit, he wouldn't have any blurring in his + +117 +00:08:44,840 --> 00:08:46,820 +vision, meaning he wouldn't have any blurring in + +118 +00:08:46,820 --> 00:08:49,100 +his vision, but rather he would have range for the + +119 +00:08:49,100 --> 00:08:52,440 +depth of focus in a comfortable way, in a + +120 +00:08:52,440 --> 00:08:55,340 +comfortable way. Now, this issue is also taken + +121 +00:08:55,340 --> 00:08:58,400 +into consideration in refractive surgery, that the + +122 +00:08:58,400 --> 00:09:01,320 +person who wants to do the Lasik operation to get + +123 +00:09:01,320 --> 00:09:03,800 +rid of shortness of vision, or length of vision, + +124 +00:09:03,940 --> 00:09:08,460 +or astigmatism,In lasek and similar operations, it + +125 +00:09:08,460 --> 00:09:12,760 +is very important that after the operation, the + +126 +00:09:12,760 --> 00:09:16,080 +new optical system that is produced, which is the + +127 +00:09:16,080 --> 00:09:20,340 +retina after modification, has a range of depth of + +128 +00:09:20,340 --> 00:09:24,100 +focus that is comfortable, so that this person can + +129 +00:09:24,100 --> 00:09:30,060 +see all distances clearly without having to wear + +130 +00:09:30,060 --> 00:09:35,950 +glasses again. Now we are going to moveLet's talk + +131 +00:09:35,950 --> 00:09:39,130 +about another thing which is called depth of field + +132 +00:09:39,130 --> 00:09:43,310 +The depth of field is the same idea as depth of + +133 +00:09:43,310 --> 00:09:47,190 +focus, but this is specific to the object In other + +134 +00:09:47,190 --> 00:09:51,750 +words, when we talk about the image, if we move + +135 +00:09:51,750 --> 00:09:55,170 +the focus point or move the focus point, there is + +136 +00:09:55,170 --> 00:09:59,150 +a certain range in which the image is clear, and + +137 +00:09:59,150 --> 00:10:03,720 +this is called depth of focusWe don't want to move + +138 +00:10:03,720 --> 00:10:06,080 +the receipt paper, we want to keep it fixed in its + +139 +00:10:06,080 --> 00:10:09,980 +place And we ask ourselves a question, if we keep + +140 +00:10:09,980 --> 00:10:14,600 +the receipt paper fixed and the optical system + +141 +00:10:14,600 --> 00:10:20,240 +fixed in its placeBut we moved the object closer + +142 +00:10:20,240 --> 00:10:23,840 +to the lens and moved it away from the lens Is + +143 +00:10:23,840 --> 00:10:26,620 +there a certain range? Is there a certain range? + +144 +00:10:27,320 --> 00:10:31,340 +The picture remains clear even though we moved the + +145 +00:10:31,340 --> 00:10:33,840 +object and changed its location Of course there is + +146 +00:10:33,840 --> 00:10:37,160 +a certain range, the picture remains clear, we + +147 +00:10:37,160 --> 00:10:40,230 +agreed that the picture should beWe leave the + +148 +00:10:40,230 --> 00:10:43,070 +place where we received it fixed, while what we + +149 +00:10:43,070 --> 00:10:46,730 +want to change in its content is the object Once + +150 +00:10:46,730 --> 00:10:49,750 +we try it from the optical system and once we move + +151 +00:10:49,750 --> 00:10:51,630 +away from the optical system, scientists found + +152 +00:10:51,630 --> 00:10:55,750 +that there is a certain range If we move in the + +153 +00:10:55,750 --> 00:10:59,430 +object towards the lens or away from the lens, + +154 +00:11:00,010 --> 00:11:03,210 +then the image will remain clear outside this + +155 +00:11:03,210 --> 00:11:07,230 +rangecloser to the lens or farther from it to the + +156 +00:11:07,230 --> 00:11:10,790 +lens outside of this area which extends from blue + +157 +00:11:10,790 --> 00:11:14,970 +to green, outside of it if we keep using the same + +158 +00:11:14,970 --> 00:11:17,870 +lens and the same reception paper and their sites + +159 +00:11:17,870 --> 00:11:21,630 +are stable and we go out of this range, then the + +160 +00:11:21,630 --> 00:11:24,210 +picture will fade away, this range where the + +161 +00:11:24,210 --> 00:11:27,860 +picture remains clearلو حركنا فيه ال object في + +162 +00:11:27,860 --> 00:11:31,600 +خلاله، هذا ال range يسمى depth of field أو عمق + +163 +00:11:31,600 --> 00:11:37,400 +الحقل، عمق الحقل، وبالتالي هذه القضية يعني بدها + +164 +00:11:37,400 --> 00:11:42,240 +تكون واضحة ان شاء الله تعالى، اذا depth of focus + +165 +00:11:42,240 --> 00:11:46,160 +applies to the image, depth of field is the same + +166 +00:11:46,160 --> 00:11:50,710 +idea applied to objectsIf a camera or other + +167 +00:11:50,710 --> 00:11:53,870 +optical system is focused on an object, nearby + +168 +00:11:53,870 --> 00:11:58,910 +objects also are also in focus لو جبنا كاميرا، + +169 +00:11:58,910 --> 00:12:01,990 +كاميرا التصوير، و اتطلعنا في العدسة تاعتها، و + +170 +00:12:01,990 --> 00:12:07,870 +ركزنا على object معين في الفراق، محيط فينا، هنلاقي + +171 +00:12:07,870 --> 00:12:14,070 +انه مش بس ال object هذا focused، ولكن ايضا الاجسام + +172 +00:12:14,070 --> 00:12:18,160 +المجاورة إليه بتكون also in focusobjects within + +173 +00:12:18,160 --> 00:12:21,060 +the range of depth of field will be in focus + +174 +00:12:21,060 --> 00:12:25,020 +whereas objects outside the depth of field will be + +175 +00:12:25,020 --> 00:12:29,940 +out of focus ويمكن الصورة هي يعني خير دليل ويمكن + +176 +00:12:29,940 --> 00:12:31,960 +الصورة هي يعني خير دليل احنا عندنا تجربة مكونة من + +177 +00:12:31,960 --> 00:12:36,140 +كاميرتين كل كاميرا محتوطة على stand هاي الكاميرا + +178 +00:12:36,140 --> 00:12:40,940 +الأولى وهي الكاميرا التانية الكاميرا الأولى فيها + +179 +00:12:40,940 --> 00:12:45,500 +عدسة وفيها film العدسة .. العدسة هي ال optical + +180 +00:12:45,500 --> 00:12:51,130 +systemوالفيلم هو ورقة التلقى، إذا العدسة ثابتة في + +181 +00:12:51,130 --> 00:12:55,790 +مكانها، ال stand مش هنحركه وورقة التلقى، وورقة + +182 +00:12:55,790 --> 00:12:58,850 +التلقى اللي هي الفيلم بتاع الكاميرا ثابت في مكانه، + +183 +00:12:58,850 --> 00:13:02,410 +مابتغيرش طالما العدسة ثابتة، الكاميرا ككل ثابتة، + +184 +00:13:02,410 --> 00:13:08,390 +تمام؟ الآن الإنسان هذا بدأ يتطلع بعينه عشان يشوف + +185 +00:13:08,390 --> 00:13:13,110 +وضوح وضوح الصورة قبل ما يلتقط الصورة، فوجد هو مركز + +186 +00:13:13,110 --> 00:13:17,310 +عند النقطة هىعند النقطة high ليه؟ عند رأس القط، + +187 +00:13:17,310 --> 00:13:21,250 +عند رأس القط أو رأس النمر إلى آخرين، فلاجف أنه في + +188 +00:13:21,250 --> 00:13:26,090 +range حوالين رأس القط واضحSo it's true that the + +189 +00:13:26,090 --> 00:13:28,650 +focus point is at the top of the cat, but about + +190 +00:13:28,650 --> 00:13:33,590 +half of the body of the cat is clear and to the + +191 +00:13:33,590 --> 00:13:37,930 +back or away from the top of the cat to the back, + +192 +00:13:38,050 --> 00:13:41,310 +of course we say to the back and to the front, to + +193 +00:13:41,310 --> 00:13:43,830 +the left to the front and to the right to the + +194 +00:13:43,830 --> 00:13:47,290 +back, it's known in geometric optics, so the top + +195 +00:13:47,290 --> 00:13:51,130 +of the cat that we focus on is clear and I get or + +196 +00:13:51,130 --> 00:13:54,360 +a part of the body of the cat is clearand there is + +197 +00:13:54,360 --> 00:13:57,360 +also an area far from the top of the hill, clear, + +198 +00:13:57,680 --> 00:14:03,320 +with herbs and so on Now this range, which extends + +199 +00:14:03,320 --> 00:14:07,300 +from this ridge to this ridge is called depth of + +200 +00:14:07,300 --> 00:14:10,700 +field Depth of field or depth of field, depth of + +201 +00:14:10,700 --> 00:14:13,820 +field of vision Now here this is considered narrow + +202 +00:14:13,820 --> 00:14:15,620 +depth of field because it does not have a wide + +203 +00:14:15,620 --> 00:14:21,870 +range, it does not have a wide range NowOut of + +204 +00:14:21,870 --> 00:14:25,730 +this depth of field, out of this field that we are + +205 +00:14:25,730 --> 00:14:28,610 +focusing on with the camera, in front of it and + +206 +00:14:28,610 --> 00:14:33,150 +behind it, it's foggy and as the picture shows So + +207 +00:14:33,150 --> 00:14:36,790 +in the depth of field area, the objects are clear, + +208 +00:14:37,210 --> 00:14:41,050 +of course the herbs and herbs are clear, the cat's + +209 +00:14:41,050 --> 00:14:43,450 +head is clear, the front cat's legs are clear, + +210 +00:14:43,950 --> 00:14:46,530 +half of his front body is clear, this is called + +211 +00:14:46,530 --> 00:14:50,240 +all the clear area, depth of fieldoutside, meaning + +212 +00:14:50,240 --> 00:14:53,460 +behind or in front, everything is foggy, because + +213 +00:14:53,460 --> 00:14:57,020 +we went out of the depth of field, out of the + +214 +00:14:57,020 --> 00:15:00,320 +depth of field Let's move in the experiment to + +215 +00:15:00,320 --> 00:15:03,420 +another camera, with another lens of course, with + +216 +00:15:03,420 --> 00:15:06,480 +another lens, which has other attributes, we will + +217 +00:15:06,480 --> 00:15:11,380 +find it gave me wide or large depth of fieldThe + +218 +00:15:11,380 --> 00:15:14,500 +focus area is also, as in the first experiment, on + +219 +00:15:14,500 --> 00:15:17,500 +the top of the cat, on the top of the cat, but I + +220 +00:15:17,500 --> 00:15:20,240 +have many things that are clear, which are the + +221 +00:15:20,240 --> 00:15:23,140 +trees and the trees surrounding the cat in front + +222 +00:15:23,140 --> 00:15:25,620 +of him and behind him, these three trees and the + +223 +00:15:25,620 --> 00:15:28,960 +tree and the trees and the mountain and the trees + +224 +00:15:28,960 --> 00:15:32,420 +on the mountain, so I have large depth of field, + +225 +00:15:32,540 --> 00:15:37,460 +large depth of field, which is compared to narrow + +226 +00:15:37,460 --> 00:15:41,920 +depth of field, of courseIn quality, in quality, + +227 +00:15:42,260 --> 00:15:44,980 +the second camera is considered better than the + +228 +00:15:44,980 --> 00:15:47,980 +first camera Because when we meet a picture in it, + +229 +00:15:48,300 --> 00:15:52,140 +we will be focusing on a certain point in the film + +230 +00:15:52,140 --> 00:15:56,260 +And a wide area around this point that we are + +231 +00:15:56,260 --> 00:16:00,290 +focusing onIt will also be in focus, the depth of + +232 +00:16:00,290 --> 00:16:04,030 +field is wide, so I will have a picture that is + +233 +00:16:04,030 --> 00:16:13,250 +very wide and not narrow as in the first picture I + +234 +00:16:13,250 --> 00:16:16,540 +also have another exampleI have the same two + +235 +00:16:16,540 --> 00:16:19,420 +cameras, but they are different, I mean the lenses + +236 +00:16:19,420 --> 00:16:23,580 +are different, so here the focus point is on the + +237 +00:16:23,580 --> 00:16:27,680 +man, we meet the image of the man, I mean to the + +238 +00:16:27,680 --> 00:16:32,980 +point thatwe see or meet a picture of him here I + +239 +00:16:32,980 --> 00:16:35,520 +have narrow depth or shallow depth of field + +240 +00:16:35,520 --> 00:16:38,600 +shallow or narrow means narrow then it got deep + +241 +00:16:38,600 --> 00:16:43,680 +and brought me deep so as we notice outside the + +242 +00:16:43,680 --> 00:16:49,760 +depth of field area I have the tree very deep and + +243 +00:16:49,760 --> 00:16:53,970 +the herbs very deep here I have wideor large depth + +244 +00:16:53,970 --> 00:16:56,670 +of field. It's true that the focus through the + +245 +00:16:56,670 --> 00:16:59,770 +lens of the camera is focused on the man, but + +246 +00:16:59,770 --> 00:17:05,910 +everything after the man is clear + +247 +00:17:05,910 --> 00:17:09,690 +because I have a large depth of field. Large depth + +248 +00:17:09,690 --> 00:17:11,230 +of field. + +249 +00:17:13,990 --> 00:17:16,830 +So, we will stop, God willing, at the image + +250 +00:17:16,830 --> 00:17:20,610 +quality and God bless you. Peace, mercy and + +251 +00:17:20,610 --> 00:17:21,170 +blessings of God be upon you. + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8.srt new file mode 100644 index 0000000000000000000000000000000000000000..81a53a1bcb9d953942ee98639e708cc5ea35eac5 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8.srt @@ -0,0 +1,2382 @@ + +1 +00:00:01,670 --> 00:00:05,130 +بسم الله الرحمن الرحيم بنواصل مع محاضرات ال + +2 +00:00:05,130 --> 00:00:07,830 +geometric optics و اليوم هنحكي عن ال spherical + +3 +00:00:07,830 --> 00:00:15,670 +aberration الزيغ الكوراوي و هي نوع من أنواع ال + +4 +00:00:15,670 --> 00:00:19,350 +higher order aberration ال higher order aberration + +5 +00:00:19,350 --> 00:00:23,130 +هنشوف بس عشان نتخيل الموضوع كيف احنا بنحكي عن + +6 +00:00:23,670 --> 00:00:27,010 +spherical aberrations, we said that there are many + +7 +00:00:27,010 --> 00:00:30,570 +types of spherical aberrations or higher order + +8 +00:00:30,570 --> 00:00:34,310 +aberrations including spherical aberrations, let's + +9 +00:00:34,310 --> 00:00:43,170 +see how it means + +10 +00:00:43,170 --> 00:00:47,330 +of + +11 +00:00:47,330 --> 00:00:52,230 +point source of + +12 +00:00:52,230 --> 00:00:52,590 +light + +13 +00:00:59,920 --> 00:01:03,320 +Here we have an example of spherical aberrations, + +14 +00:01:03,940 --> 00:01:07,600 +where the point source of light is surrounded by a + +15 +00:01:07,600 --> 00:01:11,220 +halo of light that does not look like a point. Of + +16 +00:01:11,220 --> 00:01:13,360 +course, this has spherical aberration, and + +17 +00:01:13,360 --> 00:01:16,600 +everything we see has spherical aberration. So, + +18 +00:01:16,820 --> 00:01:20,540 +what causes spherical aberration? First of all, + +19 +00:01:20,620 --> 00:01:24,240 +spherical aberration causes night myopia, and in + +20 +00:01:24,240 --> 00:01:27,660 +some cases, a fluctuation of vision following + +21 +00:01:27,660 --> 00:01:31,740 +keratorefractive surgery.Spherical aberration, the + +22 +00:01:31,740 --> 00:01:34,460 +harm of its existence can happen to night myopia, + +23 +00:01:34,680 --> 00:01:38,160 +which means when the light is low, which means + +24 +00:01:38,160 --> 00:01:42,320 +close to the end of the day, at sunset or after + +25 +00:01:42,320 --> 00:01:46,240 +sunset, and the pupil of the person expands, it is + +26 +00:01:46,240 --> 00:01:49,020 +possible that because of the spherical aberration, + +27 +00:01:49,140 --> 00:01:52,900 +I get night myopia, instead of M trough, I get + +28 +00:01:52,900 --> 00:01:56,500 +myopia, or maybe the person who did Lasik and his + +29 +00:01:56,500 --> 00:01:59,720 +Lasik operation was successful, في النهار ممكن يشوف + +30 +00:01:59,720 --> 00:02:05,020 +كويس، في الليل يصير عنده تردي في حدة الإبصار زي ما + +31 +00:02:05,020 --> 00:02:09,150 +هنشوف بعد شويةIn order to understand why the + +32 +00:02:09,150 --> 00:02:12,210 +spherical aberration causes this problem, we need + +33 +00:02:12,210 --> 00:02:15,030 +to give an introduction. We say that although the + +34 +00:02:15,030 --> 00:02:18,730 +spherical surface focuses rays stigmatically in + +35 +00:02:18,730 --> 00:02:22,110 +the para-axial region according to the lensmaker's + +36 +00:02:22,110 --> 00:02:30,110 +equation that we took, rays outside that region do + +37 +00:02:30,110 --> 00:02:33,430 +not focus to a point, but rather give a point + +38 +00:02:33,430 --> 00:02:35,890 +spread function. If we go to a magnifying glass + +39 +00:02:35,890 --> 00:02:41,080 +here, الـ light rays اللي مشغلها باللون الأحمر هي + +40 +00:02:42,220 --> 00:02:45,280 +Paraxial ray is close to the optical axis and its + +41 +00:02:45,280 --> 00:02:49,400 +focus is ideal + +42 +00:03:13,380 --> 00:03:16,460 +The light ray, which is drawn in green, has its + +43 +00:03:16,460 --> 00:03:19,000 +focus here, while the red, which is drawn in + +44 +00:03:19,000 --> 00:03:24,120 +paraxial, has its focus here, the ideal focus, + +45 +00:03:24,220 --> 00:03:27,240 +which is the paraxial focus. The most peripheral + +46 +00:03:27,240 --> 00:03:32,360 +blue light rays are closest to the lens, so + +47 +00:03:32,360 --> 00:03:38,990 +wherever away from the optical axis, wherever The + +48 +00:03:38,990 --> 00:03:42,830 +focus will be closer to the optical system This is + +49 +00:03:42,830 --> 00:03:49,430 +the reason of the multiple of the foci in the same + +50 +00:03:49,430 --> 00:03:54,730 +light band leading to the spherical aberration + +51 +00:03:54,730 --> 00:03:57,250 +leading to the spherical aberration + +52 +00:03:59,540 --> 00:04:02,540 +For a positive spherical surface, the farther + +53 +00:04:02,540 --> 00:04:05,860 +array is from the axis, the more anterior its + +54 +00:04:05,860 --> 00:04:06,260 +focus. + +55 +00:04:16,700 --> 00:04:19,540 +Spherical aberration has two effects + +56 +00:04:22,200 --> 00:04:26,820 +أول أثر ال image quality أو بين جسين ال visual + +57 +00:04:26,820 --> 00:04:30,240 +acuity decreases because the focus is not + +58 +00:04:30,240 --> 00:04:35,820 +stigmatic يعني لما أنا بشوف بعيني المجردة نفرض هذه + +59 +00:04:35,820 --> 00:04:40,840 +هي القرنية و العدسة و ورقة التلقي هي ال retina لما + +60 +00:04:40,840 --> 00:04:43,700 +بقول أنه هذه العين فيها أو بتعمل spherical + +61 +00:04:43,700 --> 00:04:46,940 +aberration معناته بعض الأشعة يكون ال focus بتاعها + +62 +00:04:46,940 --> 00:04:50,580 +هنا بعضة هنا بعضة على ال retinasome behind the + +63 +00:04:50,580 --> 00:04:54,700 +retina, so not all rays are concentrated in one + +64 +00:04:54,700 --> 00:04:59,400 +point, which leads to poor image quality. Image + +65 +00:04:59,400 --> 00:05:03,600 +quality is affected by visual acuity + +66 +00:05:08,560 --> 00:05:12,560 +The image location is changed from the position + +67 +00:05:12,560 --> 00:05:15,820 +predicted by the lensmaker's equation and vergence + +68 +00:05:15,820 --> 00:05:18,040 +equation + +69 +00:05:23,050 --> 00:05:26,350 +It was derived from the use of Paraxial rays, when + +70 +00:05:26,350 --> 00:05:29,010 +we use the lens maker equation, it will tell us + +71 +00:05:29,010 --> 00:05:31,390 +that the focus is here or the image location is + +72 +00:05:31,390 --> 00:05:36,390 +here I have some rays here and some rays here and + +73 +00:05:36,390 --> 00:05:41,010 +some rays here and some rays hereإذن بقدرش أحدد + +74 +00:05:41,010 --> 00:05:45,190 +باستعمال ال lens maker equation إذا كل هذه الأشعة + +75 +00:05:45,190 --> 00:05:49,750 +بده تدخل لهذا ال optical system بقدرش أستعمل ال + +76 +00:05:49,750 --> 00:05:52,650 +lens maker equation و أقول والله ال image هتكون + +77 +00:05:52,650 --> 00:05:56,990 +هناI also can't use divergence calculations for + +78 +00:05:56,990 --> 00:06:04,030 +this purpose, so I have two + +79 +00:06:04,030 --> 00:06:10,290 +negative things or two negative effects for + +80 +00:06:10,290 --> 00:06:12,950 +spherical aberration or something that affects my + +81 +00:06:12,950 --> 00:06:14,990 +visual acuity or something that doesn't let me + +82 +00:06:14,990 --> 00:06:19,310 +know exactly where the image location isطيب لو + +83 +00:06:19,310 --> 00:06:23,390 +اجينا احنا نسينا شوية ال .. ال .. ال aberration و + +84 +00:06:23,390 --> 00:06:27,030 +نسينا شوية ال para axial ray و ال peripheral ray و + +85 +00:06:27,030 --> 00:06:30,810 +قولنا أين تقع ال image Roughly speaking, the best + +86 +00:06:30,810 --> 00:06:34,930 +focus is achieved where the rays are confined to + +87 +00:06:34,930 --> 00:06:38,450 +the smallest area بمعنى أخر، هاي عندي أنا عندي + +88 +00:06:38,450 --> 00:06:43,120 +نفرض ست أشعةIt's two red and two green and two + +89 +00:06:43,120 --> 00:06:47,220 +blue Let's suppose that they are all together They + +90 +00:06:47,220 --> 00:06:51,140 +all want to make a picture of me because they all + +91 +00:06:51,140 --> 00:06:55,200 +started from the same point Okay, if I took a clip + +92 +00:06:55,200 --> 00:06:59,240 +here, the clip will be .. if I put the receipt + +93 +00:06:59,240 --> 00:07:01,940 +paper here, it will be the circle made up of these + +94 +00:07:01,940 --> 00:07:05,760 +rays, that is, its diameter is large The smallest + +95 +00:07:05,760 --> 00:07:08,160 +diameter possible here, that's why they call it + +96 +00:07:08,160 --> 00:07:11,430 +the best focusYou can also say that here is an + +97 +00:07:11,430 --> 00:07:16,350 +ideal focus, here are two of the six rays, meaning + +98 +00:07:16,350 --> 00:07:20,670 +one third of the rays are focusing here, while the + +99 +00:07:20,670 --> 00:07:26,590 +rest are not, so if I take a point here, it will + +100 +00:07:26,590 --> 00:07:29,790 +be the circle, if we assume that this is a wall, + +101 +00:07:29,910 --> 00:07:34,590 +the circle will be its line from here to hereوهنا + +102 +00:07:34,590 --> 00:07:37,430 +برضه مش مناسب، من هنا لأ، يعني أصغر مقطع هيكون + +103 +00:07:37,430 --> 00:07:41,370 +هنا، هذا ال best focus، هذا ال best focus، اذا the + +104 +00:07:41,370 --> 00:07:44,870 +best focus is achieved where the rays are confined + +105 +00:07:44,870 --> 00:07:47,690 +to the smallest area، واضح أنه ال best focus هنا + +106 +00:07:47,690 --> 00:07:52,290 +عنديIf I use the lens maker equation, it will show + +107 +00:07:52,290 --> 00:07:54,890 +me the image here, while the best focus is here. + +108 +00:07:55,010 --> 00:07:58,310 +Why? Because the lens maker equation is used only + +109 +00:07:58,310 --> 00:08:01,150 +for the Paraxial ray, while I don't want to take + +110 +00:08:01,150 --> 00:08:04,750 +all the rays, no, the best focus is here, the best + +111 +00:08:04,750 --> 00:08:07,590 +focus is here. Okay, we want to imagine as usual + +112 +00:08:07,590 --> 00:08:12,170 +that this is the crystalline lens, this is the + +113 +00:08:12,170 --> 00:08:18,350 +crystalline lens and we come hereNorrison, the + +114 +00:08:18,350 --> 00:08:18,630 +pupil + +115 +00:08:46,140 --> 00:08:50,060 +In the day, the pupil, which is the opening in the + +116 +00:08:50,060 --> 00:08:55,300 +iris, allows only in the day, because the pupil is + +117 +00:08:55,300 --> 00:08:58,440 +closed, it allows only the para-axial ray to pass, + +118 +00:08:58,620 --> 00:09:03,220 +and if we imagine that the retina is here, then + +119 +00:09:03,220 --> 00:09:07,620 +the para-axial ray focuses on the retina, so the + +120 +00:09:07,620 --> 00:09:10,000 +picture is very clear, there is no problem. In the + +121 +00:09:10,000 --> 00:09:16,410 +day. At night, the butt will happen.expanded as a + +122 +00:09:16,410 --> 00:09:19,150 +result of the light of the sun and the amount of + +123 +00:09:19,150 --> 00:09:21,690 +light in the darkness is less, so it expands the + +124 +00:09:21,690 --> 00:09:25,910 +belly All these rays enter the crystalline lens, + +125 +00:09:26,150 --> 00:09:29,150 +of course after entering the cornea So where is + +126 +00:09:29,150 --> 00:09:31,010 +the best focus? The best focus is in front of the + +127 +00:09:31,010 --> 00:09:34,210 +retina, so that's why this is for the person who + +128 +00:09:34,210 --> 00:09:38,670 +has the focus The best focus means the best focus + +129 +00:09:38,670 --> 00:09:41,970 +for all the rays gathered herewhile the retina is + +130 +00:09:41,970 --> 00:09:44,830 +here, the retina will not change its place, so + +131 +00:09:44,830 --> 00:09:48,390 +when the focus is in front of the retina, then + +132 +00:09:48,390 --> 00:09:54,390 +this person who was before m-trop, that is, he has + +133 +00:09:54,390 --> 00:09:56,730 +neither short nor long, that is, neither in front + +134 +00:09:56,730 --> 00:09:59,670 +of the retina nor behind the retina, became at + +135 +00:09:59,670 --> 00:10:04,010 +night with myopia because the focus became .. the + +136 +00:10:04,010 --> 00:10:07,630 +focus becameIn this region, in front of the + +137 +00:10:07,630 --> 00:10:09,810 +retina, it is known that the focus in front of the + +138 +00:10:09,810 --> 00:10:14,750 +retina is considered major. So this patient...This + +139 +00:10:14,750 --> 00:10:17,630 +patient, during the day, is immature, and during + +140 +00:10:17,630 --> 00:10:20,270 +the night, he has night myopia. We need to make + +141 +00:10:20,270 --> 00:10:22,350 +sure that if we examine him during sunset, and the + +142 +00:10:22,350 --> 00:10:25,370 +amount of light in the room reduces a little, if + +143 +00:10:25,370 --> 00:10:28,290 +we put minus one or minus half, we will find that + +144 +00:10:28,290 --> 00:10:31,750 +he started to see more clearly than if we did not + +145 +00:10:31,750 --> 00:10:35,610 +put any lens on him. So this night myopia is + +146 +00:10:35,610 --> 00:10:38,130 +caused by the enlargement of the pupil, the + +147 +00:10:38,130 --> 00:10:40,490 +peripheral ray, which is larger than the para + +148 +00:10:40,490 --> 00:10:47,140 +-axial ray, all entered the eye, الاشعع مجتمع سواء + +149 +00:10:47,140 --> 00:10:49,760 +paraaxial أو peripheral كلها مع بعضها ال best + +150 +00:10:49,760 --> 00:10:53,860 +focus بتاعها هنا و هذا الموقع هو أمام ال retina هو + +151 +00:10:53,860 --> 00:11:00,420 +أمام ال retina فبالتالي هذا بيحكيلي أنه ال + +152 +00:11:00,420 --> 00:11:04,040 +spherical aberration بتسبب night myopia in the + +153 +00:11:04,040 --> 00:11:09,260 +human eye spherical aberrationIt shifts the focus + +154 +00:11:09,260 --> 00:11:13,300 +anteriorly, بتحركلي ال focus في ال human eye بتحرك + +155 +00:11:13,300 --> 00:11:17,760 +ال focus anteriorly يعني كان على الشبكية بس بسبب + +156 +00:11:17,760 --> 00:11:20,340 +ال spherical aberration اتحرك للأمام + +157 +00:11:23,300 --> 00:11:26,600 +making the patient slightly more myopic than would + +158 +00:11:26,600 --> 00:11:29,180 +be expected from vergence calculations + +159 +00:11:48,290 --> 00:11:50,710 +The object at a certain distance, for example, and + +160 +00:11:50,710 --> 00:11:53,570 +this is the optical system, and according to the + +161 +00:11:53,570 --> 00:11:55,290 +image distance, it came out in front of the + +162 +00:11:55,290 --> 00:11:57,930 +network of half a diopter. I said that this eye + +163 +00:11:57,930 --> 00:12:02,070 +has a myopia of half a diopter. Half a diopter, + +164 +00:12:02,250 --> 00:12:06,150 +according to Virgin's calculations.The spherical + +165 +00:12:06,150 --> 00:12:08,450 +aberration will make it slightly more than half a + +166 +00:12:08,450 --> 00:12:10,310 +diopter, for example one diopter, one and a + +167 +00:12:10,310 --> 00:12:13,670 +quarter diopter, one and a half diopter, so this + +168 +00:12:13,670 --> 00:12:18,150 +case is slightly more myopic than would be + +169 +00:12:18,150 --> 00:12:23,870 +expected from virgin's calculations Okay, this is + +170 +00:12:23,870 --> 00:12:26,830 +a point, there is also something that if a person + +171 +00:12:26,830 --> 00:12:30,390 +is already myopicThe spherical aberration + +172 +00:12:30,390 --> 00:12:33,610 +exacerbates myopia in low light. The spherical + +173 +00:12:33,610 --> 00:12:35,590 +aberration increases myopia. For example, if + +174 +00:12:35,590 --> 00:12:39,150 +someone has two degrees of myopia and has + +175 +00:12:39,150 --> 00:12:41,290 +spherical aberration, two degrees during the day + +176 +00:12:41,290 --> 00:12:44,210 +will become two and a half or three degrees at + +177 +00:12:44,210 --> 00:12:49,890 +night. On the contrary, in low light, in brighter + +178 +00:12:49,890 --> 00:12:53,270 +conditions during the day, the pupil constricts, + +179 +00:12:53,430 --> 00:12:56,150 +blocking the more peripheral ray and minimizing + +180 +00:12:56,150 --> 00:12:59,980 +the effect of spherical aberration.So, during the + +181 +00:12:59,980 --> 00:13:03,660 +day, when there is a high external radiation to + +182 +00:13:03,660 --> 00:13:08,840 +the pupil constricts + +183 +00:13:16,450 --> 00:13:22,650 +It means that only the para-axial region is + +184 +00:13:22,650 --> 00:13:23,410 +allowed to enter the eye, but the peripheral + +185 +00:13:23,410 --> 00:13:25,390 +region will be blocked because it will collide + +186 +00:13:25,390 --> 00:13:28,950 +with the iris, so it will get rid of the spherical + +187 +00:13:28,950 --> 00:13:31,250 +aberration A person can say that it is excellent, + +188 +00:13:31,390 --> 00:13:33,810 +so the solution is to make a meiosis for a person + +189 +00:13:33,810 --> 00:13:36,610 +who has a spherical aberration We make a meiosis + +190 +00:13:36,610 --> 00:13:41,970 +for a person who has a spherical aberration, that + +191 +00:13:41,970 --> 00:13:46,940 +is, we make a contraction for the butt طبعا لو + +192 +00:13:46,940 --> 00:13:50,960 +شوفنا الرسم هاي هذا meiotic pupil constricted او + +193 +00:13:50,960 --> 00:13:54,940 +meiotic pupil هذا normal او حتى slightly dilated + +194 +00:13:54,940 --> 00:14:00,240 +pupil هنا يعني maximally dilated pupil maximally + +195 +00:14:00,240 --> 00:14:04,780 +dilated pupil طبع + +223 +00:16:07,480 --> 00:16:10,080 +واضحة بس ال central area هي اللي واضحة فبصير + +224 +00:16:10,080 --> 00:16:15,560 +construction لل field of vision فهذا بالتالي من + +225 +00:16:15,560 --> 00:16:18,120 +عيوب ال meiosis يعني ال meiosis هعمل diffraction + +226 +00:16:18,120 --> 00:16:21,230 +أكتر It will create a constriction in the field, so + +227 +00:16:21,230 --> 00:16:28,570 +the patient with myosis will only see the central + +228 +00:16:28,570 --> 00:16:32,350 +field in front of him and the edges of the field + +229 +00:16:32,350 --> 00:16:35,490 +will not be able to see it because of myosis, so + +230 +00:16:35,490 --> 00:16:38,810 +it will create a problem for him. So in brighter + +231 +00:16:38,810 --> 00:16:45,040 +conditions, the pupil constricts blocking the more + +232 +00:16:45,040 --> 00:16:48,140 +peripheral rays and minimizing the effect of + +233 +00:16:48,140 --> 00:16:55,140 +spherical aberration. As the pupil enlarges more + +234 +00:16:55,140 --> 00:16:59,480 +peripheral + +235 +00:16:59,480 --> 00:17:04,320 +rays enter the eye and the focus shifts anteriorly + +236 +00:17:04,320 --> 00:17:07,280 +making the patient slightly more myopic in low + +237 +00:17:07,280 --> 00:17:10,700 +light conditions. Okay, how much does it become + +238 +00:17:10,700 --> 00:17:13,740 +myopic? Does it become 10 myopia diopters or 5 + +239 +00:17:13,740 --> 00:17:16,260 +diopters? No, it's typically the amount of myopic + +240 +00:17:16,260 --> 00:17:20,020 +shift is about half a diopter, is about half a + +241 +00:17:20,020 --> 00:17:22,400 +diopter. Okay, a person might say, well, half a + +242 +00:17:22,400 --> 00:17:24,900 +diopter is little. We say, no, it's little, but it + +243 +00:17:24,900 --> 00:17:28,240 +can affect the patient. Look how a person has, for + +244 +00:17:28,240 --> 00:17:32,580 +example, minus 6 myopia diopters. This is before + +245 +00:17:32,580 --> 00:17:37,790 +the laser operation. After the laser operation, It + +246 +00:17:37,790 --> 00:17:41,110 +remained half-diopter myopia minus half-diopter, + +247 +00:17:41,950 --> 00:17:46,330 +which is + +248 +00:17:46,330 --> 00:17:49,110 +amazing because after having six degrees of + +249 +00:17:49,110 --> 00:17:51,870 +myopia, it became half-diopter myopia. But because + +250 +00:17:51,870 --> 00:17:55,210 +of the spherical aberration at night, this half + +251 +00:17:55,210 --> 00:17:57,950 +-diopter became one-diopter. One-diopter means + +252 +00:17:57,950 --> 00:18:00,510 +that Morocco needs glasses.especially if he + +253 +00:18:00,510 --> 00:18:04,850 +watches TV, if he wants to read on his phone or in + +254 +00:18:04,850 --> 00:18:08,530 +his book or any close work, there is no problem + +255 +00:18:08,530 --> 00:18:12,630 +with one diopter myopia. But if there is no + +256 +00:18:12,630 --> 00:18:15,270 +spherical aberration as much as the half diopter + +257 +00:18:15,270 --> 00:18:18,770 +myopia can seeThe distance when near is good, but + +258 +00:18:18,770 --> 00:18:22,610 +on one diopter myopia, usually when you read the + +259 +00:18:22,610 --> 00:18:26,390 +newspaper, you might need glasses So he did the + +260 +00:18:26,390 --> 00:18:29,370 +laser operation and paid for it to get rid of the + +261 +00:18:29,370 --> 00:18:32,350 +glasses But because of the spherical aberration, + +262 +00:18:32,430 --> 00:18:34,910 +this is an example, so that we don't get bored + +263 +00:18:34,910 --> 00:18:38,410 +with the word half-diopter myopia This is an + +264 +00:18:38,410 --> 00:18:41,070 +example that explains why half-diopter might make + +265 +00:18:41,070 --> 00:18:46,090 +sense to meTypically, the amount of myopic shift + +266 +00:18:46,090 --> 00:18:55,230 +is about half a diopter. In addition, because of + +267 +00:18:55,230 --> 00:18:56,110 +dark adaptation + +268 +00:19:09,670 --> 00:19:12,250 +The human eye enters a state called dark + +269 +00:19:12,250 --> 00:19:17,250 +adaptation In this dark adaptation, what happens + +270 +00:19:17,250 --> 00:19:24,380 +chemically in the retinal rods which is the + +271 +00:19:24,380 --> 00:19:27,540 +photoreceptors, which are the rods become more + +272 +00:19:27,540 --> 00:19:30,500 +sensitive to the shorter blue wavelength of light + +273 +00:19:30,500 --> 00:19:33,840 +become more sensitive to the shorter wavelength of + +274 +00:19:33,840 --> 00:19:36,520 +light, which is what we mean by blue light okay, + +275 +00:19:36,620 --> 00:19:40,280 +for blue light, its focus is still more anterior + +276 +00:19:40,280 --> 00:19:45,020 +contributing further to night myopia okay let's + +277 +00:19:45,020 --> 00:19:45,900 +see this picture + +278 +00:19:49,480 --> 00:19:53,620 +these eyes have spherical aberration spherical + +279 +00:19:53,620 --> 00:19:58,940 +aberration occurs to night myopia this is one + +280 +00:19:58,940 --> 00:20:01,880 +point but there is another point as long as it is + +281 +00:20:01,880 --> 00:20:04,060 +night myopia means that darkness is gone these + +282 +00:20:04,060 --> 00:20:07,460 +eyes become dark adapted the rods in the retina + +283 +00:20:07,460 --> 00:20:10,600 +become more sensitive to blue light and blue + +284 +00:20:10,600 --> 00:20:14,800 +light's focus is still anteriorIn comparison with + +285 +00:20:14,800 --> 00:20:19,200 +red and yellow and green, it's more anterior, if + +286 +00:20:19,200 --> 00:20:22,460 +this eye is closer to the red light + +287 +00:20:31,520 --> 00:20:34,300 +closer to the optical system than the red light + +288 +00:20:34,300 --> 00:20:36,380 +because the refractive index for the eye is higher + +289 +00:20:36,380 --> 00:20:39,140 +for the blue than for the green than for the red. + +290 +00:20:39,640 --> 00:20:44,920 +Okay. The night myopia happened to the white + +291 +00:20:44,920 --> 00:20:47,580 +wavelength which is contained on all this + +292 +00:20:47,580 --> 00:20:50,740 +spectrum, but for the blue it is stronger. The + +293 +00:20:50,740 --> 00:20:53,780 +night myopia is stronger and this contributes + +294 +00:20:53,780 --> 00:20:58,260 +further to night myopia.Spherical aberration + +295 +00:20:58,260 --> 00:21:05,960 +accounts + +296 +00:21:05,960 --> 00:21:19,720 +for + +297 +00:21:19,720 --> 00:21:23,500 +some cases of fluctuating vision following + +298 +00:21:23,500 --> 00:21:27,150 +keratorefractive surgery.Keratorefractive surgery + +299 +00:21:27,150 --> 00:21:30,490 +which + +300 +00:21:30,490 --> 00:21:34,030 +is laser, PRK, and similar operations that are + +301 +00:21:34,030 --> 00:21:40,170 +modified by correlation or interference in two + +302 +00:21:40,170 --> 00:21:42,730 +lenses to change the refractive error or correct + +303 +00:21:42,730 --> 00:21:45,110 +the refractive error and all of them are combined + +304 +00:21:45,110 --> 00:21:48,290 +under one title which is laser vision correction + +305 +00:21:52,050 --> 00:21:54,270 +One of the most famous operations is the Lasik + +306 +00:21:54,270 --> 00:21:57,510 +operation and PRK operation. Of course, the name + +307 +00:21:57,510 --> 00:22:00,210 +that was given to them is keratorefractive + +308 +00:22:00,210 --> 00:22:03,470 +surgery, which means the refraction operations + +309 +00:22:03,470 --> 00:22:06,450 +that occur on the cornea, kerato means cornea. + +310 +00:22:22,300 --> 00:22:25,620 +in the day it's good, 6 out of 6, at night it's + +311 +00:22:25,620 --> 00:22:29,040 +bad, it comes back the next day, it's good, in the + +312 +00:22:29,040 --> 00:22:33,280 +day .. so therefore the vision fluctuates between + +313 +00:22:33,280 --> 00:22:35,860 +good and bad, of course bad because of the + +314 +00:22:35,860 --> 00:22:39,380 +spherical aberration in the low light conditions, + +315 +00:22:39,420 --> 00:22:43,380 +in the low light condition normally the cornea is + +316 +00:22:43,380 --> 00:22:46,160 +flatter peripherally than centrally which + +317 +00:22:46,160 --> 00:22:51,220 +decreases spherical aberration okay, we say that a + +318 +00:22:51,220 --> 00:22:55,300 +personmeans that it is created in relation to the + +319 +00:22:55,300 --> 00:23:00,660 +edges more flat. Why? Because its force is less + +320 +00:23:00,660 --> 00:23:03,360 +than the central cornea. The central cornea + +321 +00:23:03,360 --> 00:23:08,060 +focuses on the retina, behind the axial rays. And + +322 +00:23:08,060 --> 00:23:11,120 +here, the peripheral cornea, if the force of the + +323 +00:23:11,120 --> 00:23:12,940 +cornea here is the same force in the central + +324 +00:23:12,940 --> 00:23:18,020 +retina, then the peripheral ray should shift to + +325 +00:23:18,020 --> 00:23:22,440 +the anterior focus, as shown in this drawing.ليه + +326 +00:23:22,440 --> 00:23:26,340 +أول رسم؟ هاي ال peripheral ray، هذي sphere تماما، + +327 +00:23:26,340 --> 00:23:29,460 +يعني التحدب هنا، نفس التحدب هنا، نفس التحدب هنا، + +328 +00:23:29,460 --> 00:23:33,520 +نفس التحدب هنا، كل نقاطها متحدبة بنفس القدر، + +329 +00:23:33,520 --> 00:23:37,060 +فبالتالي هذا ال spherical shape، ال total + +330 +00:23:37,060 --> 00:23:42,230 +spherical shapeبخل عندى تحدث spherical aberration, + +331 +00:23:42,350 --> 00:23:46,510 +spherical aberration يعني رب العالمين لما يعني خلق + +332 +00:23:46,510 --> 00:23:50,390 +الإنسان أحسن تقويمه لقد خلقنا الإنسان في أحسن + +333 +00:23:50,390 --> 00:23:55,260 +تقويم كانت الكورنيا flat peripherallyflat + +334 +00:23:55,260 --> 00:23:58,440 +peripherally يعني flat بمعنى إذا كان هنا قوتها + +335 +00:23:58,440 --> 00:24:01,460 +أربعة و أربعين ديوقتر هنا ممكن تكون تلاتة و أربعين + +336 +00:24:01,460 --> 00:24:05,060 +أو اتنين و أربعين و نص يعني أضعف كعدسة هذه المنطقة + +337 +00:24:05,060 --> 00:24:08,320 +و هذه المنطقة ال periphery of the cornea ليش؟ عشان + +338 +00:24:08,320 --> 00:24:13,170 +ماتقدرش تجمع الأشعة أمامthe retina, so that + +339 +00:24:13,170 --> 00:24:15,970 +everything is gathered in one point. If the retina + +340 +00:24:15,970 --> 00:24:18,490 +is peripherally flat and centrally more steep, + +341 +00:24:18,870 --> 00:24:22,050 +this delays or prevents or reduces the spherical + +342 +00:24:22,050 --> 00:24:25,030 +aberration, and the peripheral with the paraxial + +343 +00:24:25,030 --> 00:24:30,150 +rays gather in one point and reduce the spherical + +344 +00:24:30,150 --> 00:24:34,230 +aberration. Normally, in normal conditions, the + +345 +00:24:34,230 --> 00:24:37,610 +cornea is flatter peripherally than centrally,طبعا + +346 +00:24:37,610 --> 00:24:41,450 +هذا ايش فيته؟ هذا decreases spherical aberration + +347 +00:24:41,450 --> 00:24:43,810 +.. decreases spherical aberration ممكن انسان يقول + +348 +00:24:43,810 --> 00:24:46,990 +طب هنا احنا ال pupil هو اللي بيمنع اصلا ال + +349 +00:24:46,990 --> 00:24:50,770 +peripheral ray مش هتدخل مظبوط هنا لما يكون ال + +350 +00:24:50,770 --> 00:24:55,050 +pupil constricted ال peripheral ray مش هتدخل ففيش + +351 +00:24:55,050 --> 00:24:59,650 +spherical aberration بس من عظمة الخلق انه حتى في + +352 +00:24:59,650 --> 00:25:04,470 +الليل لما ال pupil بتوسعWhen the pupil expands and + +353 +00:25:04,470 --> 00:25:06,950 +enters the peripheral ray, which we called the + +354 +00:25:06,950 --> 00:25:10,710 +yellow color, even if the pupil is wide at night, + +355 +00:25:11,610 --> 00:25:15,150 +the focus will not change because the cornea here + +356 +00:25:15,150 --> 00:25:17,170 +is closed. The focus will not change because the + +357 +00:25:17,170 --> 00:25:23,110 +cornea here is closed. Now, some operations that + +358 +00:25:23,110 --> 00:25:27,790 +correct the vision increase the spherical + +359 +00:25:27,790 --> 00:25:30,960 +aberration. One of the most common operationswhich + +360 +00:25:30,960 --> 00:25:33,240 +causes the spherical aberration called radial + +361 +00:25:33,240 --> 00:25:37,340 +keratotomy. Radial keratotomy is the process of + +362 +00:25:37,340 --> 00:25:43,540 +coronal abrasion. This is what was discovered or + +363 +00:25:43,540 --> 00:25:46,200 +thought about in the beginning by Feodorov, the + +364 +00:25:46,200 --> 00:25:48,960 +Russian scientist Feodorov, a scientist of eye + +365 +00:25:48,960 --> 00:25:52,300 +medicine, who has a institute of eye medicine in + +366 +00:25:52,300 --> 00:25:54,100 +Moscow. + +367 +00:25:55,940 --> 00:25:58,820 +The injection process is what corrects the vision. + +368 +00:25:59,380 --> 00:26:04,060 +This process is a radial incision in the cornea. + +369 +00:26:04,580 --> 00:26:07,980 +This is one of the incisions. If we take a picture + +370 +00:26:07,980 --> 00:26:12,320 +of this, from the paracentral cornea, it does not + +371 +00:26:12,320 --> 00:26:13,800 +come to the center because it does not make a mess + +372 +00:26:13,800 --> 00:26:18,360 +in the vision. And it makes an incision, a cut. Of + +373 +00:26:18,360 --> 00:26:20,080 +course, the cut is not full thickness. That is, + +374 +00:26:20,480 --> 00:26:23,600 +the cut is about 70% to 80% of the corneal + +375 +00:26:23,600 --> 00:26:27,410 +thickness. The cut ends here.طبعا إيش هذا أهميته؟ + +376 +00:26:27,410 --> 00:26:30,570 +هذا ال .. هذه طبعا هنا عامل تقريبا عشرة، واحد، + +377 +00:26:30,570 --> 00:26:33,630 +اتنين، تلاتة، أربعة، على ناحية التانية أربعة وعلى + +378 +00:26:33,630 --> 00:26:38,210 +تسعين فيه كمان اتنين، إذا في عشر ممكن توصل لستاش و + +379 +00:26:38,210 --> 00:26:41,790 +أحيانا بنعمل تمانية طيب إيش ال .. الأهمية بتاعة + +380 +00:26:41,790 --> 00:26:46,390 +إحداث تشطيبات في الكورية؟ إنه نعملها يسموها تشطيب + +381 +00:26:46,390 --> 00:26:51,140 +القرانيةTashteeb القرنية or Radial .. Radial لإنه + +382 +00:26:51,140 --> 00:26:56,380 +جاية كإنها radius كإنه نصف قطر فبالتالي إيش + +383 +00:26:56,380 --> 00:27:00,300 +الفايدة منها؟ إنه تضعف القرنية في المناطق هاي ليش + +384 +00:27:00,300 --> 00:27:03,620 +بدنا تضعف القرنية في المناطق هاي؟ عشان ضغط العين + +385 +00:27:03,620 --> 00:27:08,810 +من الداخل يدفعها للخارج فلما بيدفعها للخارجThe + +386 +00:27:08,810 --> 00:27:11,890 +central cornea becomes flat, as seen in this + +387 +00:27:11,890 --> 00:27:14,350 +picture, the pressure of the eye pushes it + +388 +00:27:14,350 --> 00:27:19,470 +outward, because it has become thin areas, and + +389 +00:27:19,470 --> 00:27:21,410 +most areas will be affected by the pressure of the + +390 +00:27:21,410 --> 00:27:21,610 +eye, + +391 +00:27:27,970 --> 00:27:29,950 +in the areas of wrinkles + +392 +00:27:32,960 --> 00:27:37,800 +and as a result of the intraocular pressure + +393 +00:27:37,800 --> 00:27:39,860 +pressure, the central cornea will become more + +394 +00:27:39,860 --> 00:27:44,340 +flat. This will heal to about 2 to 2.5 degrees and + +395 +00:27:44,340 --> 00:27:47,800 +sometimes more than myopia and sometimes more than + +396 +00:27:47,800 --> 00:27:50,780 +myopia. Of course, this process will stop now for + +397 +00:27:50,780 --> 00:27:55,160 +several reasons.It's not predictable. You can't + +398 +00:27:55,160 --> 00:28:02,500 +determine how much the story can + +399 +00:28:02,500 --> 00:28:04,100 +be corrected. Can it be corrected to a degree or + +400 +00:28:04,100 --> 00:28:06,300 +another degree? You can't control it at any point. + +401 +00:28:06,800 --> 00:28:11,020 +The second point is that we can't after that make + +402 +00:28:11,020 --> 00:28:13,320 +it difficult to measure the power of the lens if + +403 +00:28:13,320 --> 00:28:16,240 +this person or this eye has cataract after that + +404 +00:28:17,650 --> 00:28:20,010 +means that after the keratotomy, it becomes very + +405 +00:28:20,010 --> 00:28:22,670 +difficult or requires complicated calculations to + +406 +00:28:22,670 --> 00:28:26,150 +reach the correct lens strength. But our topic + +407 +00:28:26,150 --> 00:28:30,490 +today is that we said in the natural, the + +408 +00:28:30,490 --> 00:28:38,770 +peripheral cornea should beflatter than + +409 +00:28:38,770 --> 00:28:44,550 +the central cornea + +410 +00:28:50,480 --> 00:28:53,320 +Peripheral cornea is steep, so this will increase + +411 +00:28:53,320 --> 00:28:56,980 +the spherical aberration, + +412 +00:28:57,080 --> 00:28:59,200 +and this is the secret of the sentence high radial + +413 +00:28:59,200 --> 00:29:02,600 +keratotomy makes the cornea more spherical + +414 +00:29:02,600 --> 00:29:08,350 +increasing the spherical aberrationAlso, the laser + +415 +00:29:08,350 --> 00:29 + +445 +00:31:11,600 --> 00:31:15,880 +is the rays of the sun or light in general Let's + +446 +00:31:15,880 --> 00:31:18,220 +assume that in this state there is spherical + +447 +00:31:18,220 --> 00:31:20,780 +aberration, but its quantity is small and caused + +448 +00:31:20,780 --> 00:31:25,600 +by a myopia whose amount is minus a quarter of a + +449 +00:31:25,600 --> 00:31:28,860 +diopter. Not many people will feel it So in the + +450 +00:31:28,860 --> 00:31:33,700 +state of the size of the owl like this Pupil + +451 +00:31:33,700 --> 00:31:36,760 +diameter is 3 mm + +452 +00:31:43,890 --> 00:31:45,950 +you enter a little bit of peripheral rays, it will + +453 +00:31:45,950 --> 00:31:48,890 +make an aberration, spherical aberration, it will + +454 +00:31:48,890 --> 00:31:51,710 +lead to a myopia of a quarter of a diopter, not + +455 +00:31:51,710 --> 00:31:53,870 +very significant, meaning retina here, for + +456 +00:31:53,870 --> 00:31:57,350 +example, and the focus, the best focus here, a + +457 +00:31:57,350 --> 00:32:01,270 +person will not feel it much, so you have a 3 mm + +458 +00:32:01,270 --> 00:32:04,090 +bulb, the spherical aberration is a quarter of it, + +459 +00:32:04,250 --> 00:32:06,770 +okay, let's assume that with Morocco, the bulb + +460 +00:32:06,770 --> 00:32:10,710 +became 6 + +461 +00:32:10,710 --> 00:32:15,440 +mm in size 6 millimeters means it doubled twice so + +462 +00:32:15,440 --> 00:32:19,520 +the bubble at night or in the dark is 6 + +463 +00:32:19,520 --> 00:32:25,880 +millimeters okay 6 millimeters so + +464 +00:32:25,880 --> 00:32:29,380 +the amount of duplication in the bubble became + +465 +00:32:29,380 --> 00:32:34,920 +double how much increased the spherical aberration + +466 +00:32:34,920 --> 00:32:40,660 +the spherical aberration shortened SA increased in + +467 +00:32:40,660 --> 00:32:46,480 +amount The increase in + +468 +00:32:46,480 --> 00:32:54,140 +pupil diameter Pupil + +469 +00:32:54,140 --> 00:33:00,220 +diameter Equals + +470 +00:33:00,220 --> 00:33:08,480 +to 4 Equals to 4 How much did it increase? It + +471 +00:33:08,480 --> 00:33:12,200 +doubled So the spherical aberration here The + +472 +00:33:12,200 --> 00:33:17,800 +spherical aberration is equal to... The parrot + +473 +00:33:17,800 --> 00:33:27,920 +doubled twice 4 times which is equal to 16 Look at + +474 +00:33:27,920 --> 00:33:38,280 +the calculator The + +475 +00:33:38,280 --> 00:33:39,520 +parrot doubled twice + +476 +00:33:45,250 --> 00:33:50,210 +4 times equals 16 times what is 16 times? it is + +477 +00:33:50,210 --> 00:33:51,990 +the percentage of increase in the operation it + +478 +00:33:51,990 --> 00:33:58,010 +means that the diopter when it was 3 times + +479 +00:33:58,010 --> 00:34:01,850 +increased 16 times so let's see how much myopia + +480 +00:34:01,850 --> 00:34:11,030 +will give me we say as follows quarter + +481 +00:34:11,030 --> 00:34:13,430 +times 16 + +482 +00:34:16,820 --> 00:34:21,320 +بساوية أربعة ديوبتر ميوبيا في الليل هذا الرجل أو + +483 +00:34:21,320 --> 00:34:27,000 +هذه العين أصبح عندها spherical aberration تحدثلها + +484 +00:34:27,000 --> 00:34:30,880 +ميوبيا مقدارها minus أربعة ديوبتر، و هذه شيء مشكلة + +485 +00:34:30,880 --> 00:34:35,820 +عظيمة جدا، مشكلة عظيمة جدا، ناخد مثال آخر، بس هروح + +486 +00:34:35,820 --> 00:34:39,680 +على صفحة جديدة + +487 +00:34:53,980 --> 00:34:59,600 +we say this is an example of course and these + +488 +00:34:59,600 --> 00:35:02,720 +examples can come in exams we say the pupil + +489 +00:35:02,720 --> 00:35:08,200 +diameter we say diameter in short in day in light + +490 +00:35:08,200 --> 00:35:12,440 +is + +491 +00:35:12,440 --> 00:35:18,980 +equal to four millimeters meters + +492 +00:35:18,980 --> 00:35:25,380 +the aberrations the spherical aberrations in this + +493 +00:35:25,380 --> 00:35:31,400 +pupil it will be minus for example two out of ten + +494 +00:35:31,400 --> 00:35:45,640 +diopters in dark, diameter dark the + +495 +00:35:45,640 --> 00:35:48,200 +pupil will be six millimeters at this man or this + +496 +00:35:48,200 --> 00:35:53,510 +eye six millimeters So, how many times do we need + +497 +00:35:53,510 --> 00:36:00,170 +to calculate aberrations in darkness? + +498 +00:36:00,890 --> 00:36:03,050 +We say as usual, the first thing is to multiply + +499 +00:36:03,050 --> 00:36:07,370 +times and a half The aberrations will be + +500 +00:36:07,370 --> 00:36:11,490 +multiplied by how many times and a half divided by + +501 +00:36:11,490 --> 00:36:15,410 +four And + +502 +00:36:15,410 --> 00:36:19,970 +it equals, we go to the calculator, we say here + +503 +00:36:19,970 --> 00:36:28,020 +one and a half 1.5 times 4 + +504 +00:36:28,020 --> 00:36:31,660 +is equal + +505 +00:36:31,660 --> 00:36:42,560 +to 5.6 + +506 +00:36:42,560 --> 00:36:45,440 +this is the amount of multiplication in the + +507 +00:36:45,440 --> 00:36:50,040 +aberration the aberration is basically minus 2 out + +508 +00:36:50,040 --> 00:36:54,740 +of 10 diopters let's see how much will happentwo + +509 +00:36:54,740 --> 00:36:56,580 +out of ten, of course the minus sign we will put + +510 +00:36:56,580 --> 00:37:04,120 +later, times five or six out of one hundred and + +511 +00:37:04,120 --> 00:37:07,480 +it equals so you will give me approximately one + +512 +00:37:07,480 --> 00:37:12,020 +diopter of myopia so you will give me + +513 +00:37:12,020 --> 00:37:18,080 +approximately one diopter of myopia so + +514 +00:37:18,080 --> 00:37:19,880 +I have the aberrations + +515 +00:37:22,580 --> 00:37:25,100 +it will double five times and a little bit, here + +516 +00:37:25,100 --> 00:37:27,700 +two out of ten will become one, correct, so minus + +517 +00:37:27,700 --> 00:37:32,280 +one diopter myopia, approximately, so this if it + +518 +00:37:32,280 --> 00:37:34,320 +increases once and a half, if it increases twice + +519 +00:37:34,320 --> 00:37:36,960 +it will be more, always the aberration increases + +520 +00:37:36,960 --> 00:37:40,080 +with the amount of the fourth force, increases + +521 +00:37:40,080 --> 00:37:42,840 +with the amount of the fourth force, the fourth + +522 +00:37:42,840 --> 00:37:45,300 +axis to the amount of increase in the pupillary + +523 +00:37:45,300 --> 00:37:51,730 +diameter, so Doubling or in general the effect of + +524 +00:37:51,730 --> 00:37:58,650 +spherical aberration increases as + +525 +00:37:58,650 --> 00:38:02,500 +the fourth power of the pupil diameter doubling, + +526 +00:38:02,660 --> 00:38:05,440 +doubling the pupil diameter, if the pupil + +527 +00:38:05,440 --> 00:38:07,760 +increases to double, the aberrations will increase + +528 +00:38:07,760 --> 00:38:12,380 +from their original position to 16 times because 2 + +529 +00:38:12,380 --> 00:38:16,020 +plus 4 equals 2 times 2 times 2 times 2 equals 16 + +530 +00:38:16,020 --> 00:38:20,240 +thus a small change in pupil size can cause a + +531 +00:38:20,240 --> 00:38:23,320 +significant change in refraction and this makes a + +532 +00:38:23,320 --> 00:38:27,760 +lazy person happy during the day but very tired at + +533 +00:38:27,760 --> 00:38:42,490 +night Laser vision corrections should be considered + +534 +00:38:42,490 --> 00:38:46,270 +in patients who have fluctuating vision despite + +535 +00:38:46,270 --> 00:38:49,910 +stable K readings. and well-healed corneas + +536 +00:38:49,910 --> 00:38:53,170 +following keratorefractive surgery. When we + +537 +00:38:53,170 --> 00:38:57,330 +examine a person after keratorefractive surgery, + +538 +00:38:57,470 --> 00:39:01,050 +such as LASIK or PRK, and we are not happy, and we + +539 +00:39:01,050 --> 00:39:04,070 +examined him with K1 and K2, his cornea is stable, + +540 +00:39:04,310 --> 00:39:06,930 +today we examined him after a month, after two + +541 +00:39:06,930 --> 00:39:10,440 +months, he is stable, there is no change. and the + +542 +00:39:10,440 --> 00:39:13,500 +patient was treated after the laser operation in + +543 +00:39:13,500 --> 00:39:17,300 +an excellent way and he is not happy, we have to + +544 +00:39:17,300 --> 00:39:20,240 +take into account the case of night myopia because + +545 +00:39:20,240 --> 00:39:22,660 +of the spherical aberration because of the + +546 +00:39:22,660 --> 00:39:27,320 +spherical aberration, so this case must be clear + +547 +00:39:27,320 --> 00:39:30,900 +let's talk about the last topic in geometric + +548 +00:39:30,900 --> 00:39:34,300 +optics with us which is the chromatic aberration + +549 +00:39:36,860 --> 00:39:40,580 +من اسمها يعني الزيغ اللوني، الزيغ اللوني بنقول + +550 +00:39:40,580 --> 00:39:44,260 +thus far in our analysis of aberrations لما + +551 +00:39:44,260 --> 00:39:46,660 +اتحدثنا عن ال spherical aberration, we have + +552 +00:39:46,660 --> 00:39:50,160 +ignored the effect of wavelengths ماكناش نفرج بين + +553 +00:39:50,160 --> 00:39:53,140 +blue wavelengths أو red wavelengths أو green + +554 +00:39:53,140 --> 00:39:56,580 +wavelengths، ماكننا نفرج منهم Ophthalmic lenses and + +555 +00:39:56,580 --> 00:40:01,280 +the human eye are often treated as they focus all + +556 +00:40:01,280 --> 00:40:04,020 +wavelengths identically, but this is not true. + +557 +00:40:08,620 --> 00:40:11,280 +Most lenses + +558 +00:40:21,020 --> 00:40:24,720 +introduce dispersion. Dispersion in the human eye + +559 +00:40:24,720 --> 00:40:27,280 +causes chromatic aberration. A chromatic + +560 +00:40:27,280 --> 00:40:31,080 +aberration in which blue light focuses in front of + +561 +00:40:31,080 --> 00:40:34,180 +red light. يعني لما تضوء ال white light بيدخل لعين + +562 +00:40:34,180 --> 00:40:38,460 +الإنسان بما إنها optical system وإله كثافات متعددة + +563 +00:40:38,460 --> 00:40:42,390 +ومختلفة ال cornea بتختلف كثافتها عن ال ACAquarius + +564 +00:40:42,390 --> 00:40:45,590 +is different from Crystalline lens and vitreous is + +565 +00:40:45,590 --> 00:40:53,790 +different from Crystalline + +566 +00:40:53,790 --> 00:40:56,650 +lens and vitreous is different from Crystalline + +567 +00:40:56,650 --> 00:40:57,430 +lens and vitreous is different from Crystalline + +568 +00:40:57,430 --> 00:40:57,450 +lens and vitreous is different from Crystalline + +569 +00:40:57,450 --> 00:40:57,470 +lens and vitreous is different from Crystalline + +570 +00:40:57,470 --> 00:40:57,690 +lens and vitreous is different from Crystalline + +571 +00:40:57,690 --> 00:40:57,970 +lens and vitreous is different from Crystalline + +572 +00:40:57,970 --> 00:40:58,010 +lens and vitreous is different from Crystalline + +573 +00:40:58,010 --> 00:41:08,970 +lens and vitreous is different from Crystalline + +574 +00:41:08,970 --> 00:41:11,090 +lens and vitreous is different from Cryst The + +575 +00:41:11,090 --> 00:41:14,390 +difference between the blue and red foci is about + +576 +00:41:14,390 --> 00:41:34,870 +half a diopter + +577 +00:41:35,730 --> 00:41:38,730 +Okay, if you imagine the opposite, that the blue + +578 +00:41:38,730 --> 00:41:41,170 +light is fixed, it will not be affected by the + +579 +00:41:41,170 --> 00:41:43,690 +lens that I put, and I put plus and a half, there + +580 +00:41:43,690 --> 00:41:45,750 +at the beginning I put minus and a half, it + +581 +00:41:45,750 --> 00:41:48,970 +returned to the focus and left it at the red If I + +582 +00:41:48,970 --> 00:41:51,470 +put plus and a half and I imagine that the blue is + +583 +00:41:51,470 --> 00:41:57,220 +fixed ال Red هيقدم بال plus نص هتجمعه في مسافة أقرب + +584 +00:41:57,220 --> 00:42:01,020 +فهيصير hand ل blue، اذا الفرق بين ال blue focus و + +585 +00:42:01,020 --> 00:42:07,300 +ال red focus هو نص ديوبتر كقيمة، كقيمة in the + +586 +00:42:07,300 --> 00:42:11,260 +average eye But maybe much greater, it can be more + +587 +00:42:11,260 --> 00:42:13,820 +than half a diopter, but usually the difference is + +588 +00:42:13,820 --> 00:42:16,800 +between the two foci, the red focus and the blue + +589 +00:42:16,800 --> 00:42:19,720 +focus, or the blue wavelength focus and the red + +590 +00:42:19,720 --> 00:42:25,570 +wavelength focus is half a diopter Even if all + +591 +00:42:25,570 --> 00:42:28,970 +monochromatic aberrations could be compensated for + +592 +00:42:28,970 --> 00:42:32,510 +or eliminated by contact lenses or refractive + +593 +00:42:32,510 --> 00:42:35,390 +surgery, chromatic aberration and diffraction + +594 +00:42:35,390 --> 00:42:38,290 +would still limit the optical resolving power of + +595 +00:42:38,290 --> 00:42:38,630 +the eye. + +596 +00:43:06,450 --> 00:43:09,970 +No, this is called monochromatic aberration It's + +597 +00:43:09,970 --> 00:43:13,070 +like one light, one color, without multiple colors + +598 +00:43:13,070 --> 00:43:17,950 +So if I can get rid of spherical aberration with + +599 +00:43:17,950 --> 00:43:25,310 +contact lens or kerato refractive procedure So if + +600 +00:43:25,310 --> 00:43:29,310 +I can get rid of monochromatic aberration + +601 +00:43:31,660 --> 00:43:33,700 +Either it's the taglines or the modern refractive + +602 +00:43:33,700 --> 00:43:37,480 +surgery, the chromatic aberration and diffraction + +603 +00:43:37,480 --> 00:43:41,920 +are still restricting me from resolving the power + +604 +00:43:41,920 --> 00:43:46,140 +of the eye to be ideal It's true that it's + +605 +00:43:46,140 --> 00:43:49,740 +improved, but because of the chromatic aberration + +606 +00:43:49,740 --> 00:43:53,860 +and diffraction, there's still a kind of + +607 +00:43:53,860 --> 00:43:59,970 +limitation The ability of the eye to see and the + +608 +00:43:59,970 --> 00:44:03,990 +quality of vision This example explains to me how + +609 +00:44:03,990 --> 00:44:07,010 +the chromatic aberration looks like I explain the + +610 +00:44:07,010 --> 00:44:09,670 +color hallucinations around the picture, that is, + +611 +00:44:09,670 --> 00:44:11,610 +the author of the topic is a chromatic aberration + +612 +00:44:11,610 --> 00:44:15,850 +and he imagines himself to give me a chromatic + +613 +00:44:15,850 --> 00:44:17,870 +aberration simulation Sometimes when we look with + +614 +00:44:17,870 --> 00:44:20,770 +the naked eye, if there is a lot of chromatic + +615 +00:44:20,770 --> 00:44:23,970 +aberration, or through the lens of the glasses Or + +616 +00:44:23,970 --> 00:44:26,970 +through any optical system, we can see color halos + +617 +00:44:26,970 --> 00:44:32,490 +as we see Also here when we test the vision, this + +618 +00:44:32,490 --> 00:44:36,390 +is the letter E and the E chart Here there is a + +619 +00:44:36,390 --> 00:44:39,010 +little chromatic aberration, here there is more + +620 +00:44:39,010 --> 00:44:42,030 +chromatic aberration, here the chromatic + +621 +00:44:42,030 --> 00:44:47,150 +aberration is not present So this is the case, of + +622 +00:44:47,150 --> 00:44:52,630 +course ممكن أحدث هذه بواسطة بريزمات متعددة القوة، + +623 +00:44:52,630 --> 00:44:57,650 +بريزم خفيف القوة مثلا، هنا بريزم يعني عالي القوة، + +624 +00:44:57,650 --> 00:45:02,930 +هنا بدون بريزم without the prism، فبنلاقي أنه ال + +625 +00:45:02,930 --> 00:45:06,450 +aberration أقل، ال aberration أقل زي الـ prism أحدث + +626 +00:45:06,450 --> 00:45:10,130 +لـ chromatic aberration أي عدسة نضارة ممكن تحدث + +627 +00:45:10,130 --> 00:45:15,110 +لهذه القضية طيب كيف نتخلص من ال aberration من ال + +628 +00:45:15,110 --> 00:45:18,630 +chromatic aberration بعملية اسمها ال chromatic + +629 +00:45:18,630 --> 00:45:22,290 +compensation ال chromatic compensation is common + +630 +00:45:22,290 --> 00:45:26,390 +in microscope, telescope, camera lenses بمعنى أخر + +631 +00:45:26,390 --> 00:45:31,000 +الميكросكوبات تستخدم فيه العمليات Or in factories, + +632 +00:45:31,520 --> 00:45:35,720 +telescopes used in space science, and some lenses + +633 +00:45:35,720 --> 00:45:40,140 +for sensitive cameras, they take into account that + +634 +00:45:40,140 --> 00:45:42,200 +they do chromatic compensation, they don't let + +635 +00:45:42,200 --> 00:45:46,480 +them make additions where there is no chromatic + +636 +00:45:46,480 --> 00:45:49,740 +aberration but it is not yet available in + +637 +00:45:49,740 --> 00:45:52,460 +spectacled contact or intraocular lenses. The + +638 +00:45:52,460 --> 00:45:56,240 +chromatic compensation is not yet available in + +639 +00:45:56,240 --> 00:45:59,8 + +667 +00:47:44,090 --> 00:47:47,930 +صورة الفهد هنا جذع الشجرة هنا قبل ال correction + +668 +00:47:47,930 --> 00:47:50,690 +for a chromatic aberration واضح الهالات اللونية + +669 +00:47:50,690 --> 00:47:55,910 +واضح الهالات اللونية و هنا after correction + +670 +00:47:55,910 --> 00:47:57,410 +of a chromatic aberration + +671 +00:48:01,170 --> 00:48:03,890 +But the amount of color, if we notice, is less + +672 +00:48:03,890 --> 00:48:06,850 +than the picture before correcting the chromatic + +673 +00:48:06,850 --> 00:48:09,410 +aberration of course, this is of course for blue + +674 +00:48:09,410 --> 00:48:13,670 +blocking, glasses and regular sunglasses, all + +675 +00:48:13,670 --> 00:48:17,310 +these help in decreasing aberration, but according + +676 +00:48:17,310 --> 00:48:22,200 +to ..المحتوى اللونى بتاع ال perceived image بتاع + +677 +00:48:22,200 --> 00:48:26,600 +ال perceived image هنا احنا بتنتهي مادة ال + +678 +00:48:26,600 --> 00:48:30,240 +geometric optics ويعطيكم العافية والسلام عليكم + +679 +00:48:30,240 --> 00:48:32,140 +ورحمة الله وبركاته diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..52ffb3c4fbd7dc20dc85680bf697a872ccec0ac1 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/THW_ZA0qQJ8_postprocess.srt @@ -0,0 +1,2716 @@ +1 +00:00:01,670 --> 00:00:05,130 +بسم الله الرحمن الرحيم بنواصل مع محاضرات ال + +2 +00:00:05,130 --> 00:00:07,830 +geometric optics و اليوم هنحكي عن ال spherical + +3 +00:00:07,830 --> 00:00:15,670 +aberration الزيغ الكوراوي و هي نوع من أنواع ال + +4 +00:00:15,670 --> 00:00:19,350 +higher order aberration ال higher order aberration + +5 +00:00:19,350 --> 00:00:23,130 +هنشوف بس عشان نتخيل الموضوع كيف احنا بنحكي عن + +6 +00:00:23,670 --> 00:00:27,010 +spherical aberrations, we said that there are many + +7 +00:00:27,010 --> 00:00:30,570 +types of spherical aberrations or higher order + +8 +00:00:30,570 --> 00:00:34,310 +aberrations including spherical aberrations, let's + +9 +00:00:34,310 --> 00:00:43,170 +see how it means + +10 +00:00:43,170 --> 00:00:47,330 +of + +11 +00:00:47,330 --> 00:00:52,230 +point source of + +12 +00:00:52,230 --> 00:00:52,590 +light + +13 +00:00:59,920 --> 00:01:03,320 +Here we have an example of spherical aberrations, + +14 +00:01:03,940 --> 00:01:07,600 +where the point source of light is surrounded by a + +15 +00:01:07,600 --> 00:01:11,220 +halo of light that does not look like a point. Of + +16 +00:01:11,220 --> 00:01:13,360 +course, this has spherical aberration, and + +17 +00:01:13,360 --> 00:01:16,600 +everything we see has spherical aberration. So, + +18 +00:01:16,820 --> 00:01:20,540 +what causes spherical aberration? First of all, + +19 +00:01:20,620 --> 00:01:24,240 +spherical aberration causes night myopia, and in + +20 +00:01:24,240 --> 00:01:27,660 +some cases, a fluctuation of vision following + +21 +00:01:27,660 --> 00:01:31,740 +keratorefractive surgery.Spherical aberration, the + +22 +00:01:31,740 --> 00:01:34,460 +harm of its existence can happen to night myopia, + +23 +00:01:34,680 --> 00:01:38,160 +which means when the light is low, which means + +24 +00:01:38,160 --> 00:01:42,320 +close to the end of the day, at sunset or after + +25 +00:01:42,320 --> 00:01:46,240 +sunset, and the pupil of the person expands, it is + +26 +00:01:46,240 --> 00:01:49,020 +possible that because of the spherical aberration, + +27 +00:01:49,140 --> 00:01:52,900 +I get night myopia, instead of M trough, I get + +28 +00:01:52,900 --> 00:01:56,500 +myopia, or maybe the person who did Lasik and his + +29 +00:01:56,500 --> 00:01:59,720 +Lasik operation was successful,في النهار ممكن يشوف + +30 +00:01:59,720 --> 00:02:05,020 +كويس، في الليل يصير عنده تردي في حدة الإبصار زي ما + +31 +00:02:05,020 --> 00:02:09,150 +هنشوف بعد شويةIn order to understand why the + +32 +00:02:09,150 --> 00:02:12,210 +spherical aberration causes this problem, we need + +33 +00:02:12,210 --> 00:02:15,030 +to give an introduction. We say that although the + +34 +00:02:15,030 --> 00:02:18,730 +spherical surface focuses rays stigmatically in + +35 +00:02:18,730 --> 00:02:22,110 +the para-axial region according to the lensmaker's + +36 +00:02:22,110 --> 00:02:30,110 +equation that we took, rays outside that region do + +37 +00:02:30,110 --> 00:02:33,430 +not focus to a point, but rather give a point + +38 +00:02:33,430 --> 00:02:35,890 +spread function. If we go to a magnifying glass + +39 +00:02:35,890 --> 00:02:41,080 +here,الـ light rays اللي مشغلها باللون الأحمر هي + +40 +00:02:42,220 --> 00:02:45,280 +Paraxial ray is close to the optical axis and its + +41 +00:02:45,280 --> 00:02:49,400 +focus is ideal + +42 +00:03:13,380 --> 00:03:16,460 +The light ray, which is drawn in green, has its + +43 +00:03:16,460 --> 00:03:19,000 +focus here, while the red, which is drawn in + +44 +00:03:19,000 --> 00:03:24,120 +paraxial, has its focus here, the ideal focus, + +45 +00:03:24,220 --> 00:03:27,240 +which is the paraxial focus. The most peripheral + +46 +00:03:27,240 --> 00:03:32,360 +blue light rays are closest to the lens, so + +47 +00:03:32,360 --> 00:03:38,990 +wherever away from the optical axis, whereverThe + +48 +00:03:38,990 --> 00:03:42,830 +focus will be closer to the optical system This is + +49 +00:03:42,830 --> 00:03:49,430 +the reason of the multiple of the foci in the same + +50 +00:03:49,430 --> 00:03:54,730 +light band leading to the spherical aberration + +51 +00:03:54,730 --> 00:03:57,250 +leading to the spherical aberration + +52 +00:03:59,540 --> 00:04:02,540 +For a positive spherical surface, the farther + +53 +00:04:02,540 --> 00:04:05,860 +array is from the axis, the more anterior its + +54 +00:04:05,860 --> 00:04:06,260 +focus. + +55 +00:04:16,700 --> 00:04:19,540 +Spherical aberration has two effects + +56 +00:04:22,200 --> 00:04:26,820 +أول أثر ال image quality أو بين جسين ال visual + +57 +00:04:26,820 --> 00:04:30,240 +acuity decreases because the focus is not + +58 +00:04:30,240 --> 00:04:35,820 +stigmatic يعني لما أنا بشوف بعيني المجردة نفرض هذه + +59 +00:04:35,820 --> 00:04:40,840 +هي القرنية و العدسة و ورقة التلقي هي ال retina لما + +60 +00:04:40,840 --> 00:04:43,700 +بقول أنه هذه العين فيها أو بتعمل spherical + +61 +00:04:43,700 --> 00:04:46,940 +aberration معناته بعض الأشعة يكون ال focus بتاعها + +62 +00:04:46,940 --> 00:04:50,580 +هنا بعضة هنا بعضة على ال retinasome behind the + +63 +00:04:50,580 --> 00:04:54,700 +retina, so not all rays are concentrated in one + +64 +00:04:54,700 --> 00:04:59,400 +point, which leads to poor image quality. Image + +65 +00:04:59,400 --> 00:05:03,600 +quality is affected by visual acuity + +66 +00:05:08,560 --> 00:05:12,560 +The image location is changed from the position + +67 +00:05:12,560 --> 00:05:15,820 +predicted by the lensmaker's equation and vergence + +68 +00:05:15,820 --> 00:05:18,040 +equation + +69 +00:05:23,050 --> 00:05:26,350 +It was derived from the use of Paraxial rays, when + +70 +00:05:26,350 --> 00:05:29,010 +we use the lens maker equation, it will tell us + +71 +00:05:29,010 --> 00:05:31,390 +that the focus is here or the image location is + +72 +00:05:31,390 --> 00:05:36,390 +here I have some rays here and some rays here and + +73 +00:05:36,390 --> 00:05:41,010 +some rays here and some rays hereإذن بقدرش أحدد + +74 +00:05:41,010 --> 00:05:45,190 +باستعمال ال lens maker equation إذا كل هذه الأشعة + +75 +00:05:45,190 --> 00:05:49,750 +بده تدخل لهذا ال optical system بقدرش أستعمل ال + +76 +00:05:49,750 --> 00:05:52,650 +lens maker equation و أقول والله ال image هتكون + +77 +00:05:52,650 --> 00:05:56,990 +هناI also can't use divergence calculations for + +78 +00:05:56,990 --> 00:06:04,030 +this purpose, so I have two + +79 +00:06:04,030 --> 00:06:10,290 +negative things or two negative effects for + +80 +00:06:10,290 --> 00:06:12,950 +spherical aberration or something that affects my + +81 +00:06:12,950 --> 00:06:14,990 +visual acuity or something that doesn't let me + +82 +00:06:14,990 --> 00:06:19,310 +know exactly where the image location isطيب لو + +83 +00:06:19,310 --> 00:06:23,390 +اجينا احنا نسينا شوية ال .. ال .. ال aberration و + +84 +00:06:23,390 --> 00:06:27,030 +نسينا شوية ال para axial ray و ال peripheral ray و + +85 +00:06:27,030 --> 00:06:30,810 +قولنا أين تقع ال image Roughly speaking, the best + +86 +00:06:30,810 --> 00:06:34,930 +focus is achieved where the rays are confined to + +87 +00:06:34,930 --> 00:06:38,450 +the smallest area بمعنى أخر، هاي عندي أنا عندي + +88 +00:06:38,450 --> 00:06:43,120 +نفرض ست أشعةIt's two red and two green and two + +89 +00:06:43,120 --> 00:06:47,220 +blue Let's suppose that they are all together They + +90 +00:06:47,220 --> 00:06:51,140 +all want to make a picture of me because they all + +91 +00:06:51,140 --> 00:06:55,200 +started from the same point Okay, if I took a clip + +92 +00:06:55,200 --> 00:06:59,240 +here, the clip will be .. if I put the receipt + +93 +00:06:59,240 --> 00:07:01,940 +paper here, it will be the circle made up of these + +94 +00:07:01,940 --> 00:07:05,760 +rays, that is, its diameter is large The smallest + +95 +00:07:05,760 --> 00:07:08,160 +diameter possible here, that's why they call it + +96 +00:07:08,160 --> 00:07:11,430 +the best focusYou can also say that here is an + +97 +00:07:11,430 --> 00:07:16,350 +ideal focus, here are two of the six rays, meaning + +98 +00:07:16,350 --> 00:07:20,670 +one third of the rays are focusing here, while the + +99 +00:07:20,670 --> 00:07:26,590 +rest are not, so if I take a point here, it will + +100 +00:07:26,590 --> 00:07:29,790 +be the circle, if we assume that this is a wall, + +101 +00:07:29,910 --> 00:07:34,590 +the circle will be its line from here to hereوهنا + +102 +00:07:34,590 --> 00:07:37,430 +برضه مش مناسب، من هنا لأ، يعني أصغر مقطع هيكون + +103 +00:07:37,430 --> 00:07:41,370 +هنا، هذا ال best focus، هذا ال best focus، اذا the + +104 +00:07:41,370 --> 00:07:44,870 +best focus is achieved where the rays are confined + +105 +00:07:44,870 --> 00:07:47,690 +to the smallest area، واضح أنه ال best focus هنا + +106 +00:07:47,690 --> 00:07:52,290 +عنديIf I use the lens maker equation, it will show + +107 +00:07:52,290 --> 00:07:54,890 +me the image here, while the best focus is here. + +108 +00:07:55,010 --> 00:07:58,310 +Why? Because the lens maker equation is used only + +109 +00:07:58,310 --> 00:08:01,150 +for the Paraxial ray, while I don't want to take + +110 +00:08:01,150 --> 00:08:04,750 +all the rays, no, the best focus is here, the best + +111 +00:08:04,750 --> 00:08:07,590 +focus is here. Okay, we want to imagine as usual + +112 +00:08:07,590 --> 00:08:12,170 +that this is the crystalline lens, this is the + +113 +00:08:12,170 --> 00:08:18,350 +crystalline lens and we come hereNorrison, the + +114 +00:08:18,350 --> 00:08:18,630 +pupil + +115 +00:08:46,140 --> 00:08:50,060 +In the day, the pupil, which is the opening in the + +116 +00:08:50,060 --> 00:08:55,300 +iris, allows only in the day, because the pupil is + +117 +00:08:55,300 --> 00:08:58,440 +closed, it allows only the para-axial ray to pass, + +118 +00:08:58,620 --> 00:09:03,220 +and if we imagine that the retina is here, then + +119 +00:09:03,220 --> 00:09:07,620 +the para-axial ray focuses on the retina, so the + +120 +00:09:07,620 --> 00:09:10,000 +picture is very clear, there is no problem. In the + +121 +00:09:10,000 --> 00:09:16,410 +day. At night, the butt will happen.expanded as a + +122 +00:09:16,410 --> 00:09:19,150 +result of the light of the sun and the amount of + +123 +00:09:19,150 --> 00:09:21,690 +light in the darkness is less, so it expands the + +124 +00:09:21,690 --> 00:09:25,910 +belly All these rays enter the crystalline lens, + +125 +00:09:26,150 --> 00:09:29,150 +of course after entering the cornea So where is + +126 +00:09:29,150 --> 00:09:31,010 +the best focus? The best focus is in front of the + +127 +00:09:31,010 --> 00:09:34,210 +retina, so that's why this is for the person who + +128 +00:09:34,210 --> 00:09:38,670 +has the focus The best focus means the best focus + +129 +00:09:38,670 --> 00:09:41,970 +for all the rays gathered herewhile the retina is + +130 +00:09:41,970 --> 00:09:44,830 +here, the retina will not change its place, so + +131 +00:09:44,830 --> 00:09:48,390 +when the focus is in front of the retina, then + +132 +00:09:48,390 --> 00:09:54,390 +this person who was before m-trop, that is, he has + +133 +00:09:54,390 --> 00:09:56,730 +neither short nor long, that is, neither in front + +134 +00:09:56,730 --> 00:09:59,670 +of the retina nor behind the retina, became at + +135 +00:09:59,670 --> 00:10:04,010 +night with myopia because the focus became .. the + +136 +00:10:04,010 --> 00:10:07,630 +focus becameIn this region, in front of the + +137 +00:10:07,630 --> 00:10:09,810 +retina, it is known that the focus in front of the + +138 +00:10:09,810 --> 00:10:14,750 +retina is considered major. So this patient...This + +139 +00:10:14,750 --> 00:10:17,630 +patient, during the day, is immature, and during + +140 +00:10:17,630 --> 00:10:20,270 +the night, he has night myopia. We need to make + +141 +00:10:20,270 --> 00:10:22,350 +sure that if we examine him during sunset, and the + +142 +00:10:22,350 --> 00:10:25,370 +amount of light in the room reduces a little, if + +143 +00:10:25,370 --> 00:10:28,290 +we put minus one or minus half, we will find that + +144 +00:10:28,290 --> 00:10:31,750 +he started to see more clearly than if we did not + +145 +00:10:31,750 --> 00:10:35,610 +put any lens on him. So this night myopia is + +146 +00:10:35,610 --> 00:10:38,130 +caused by the enlargement of the pupil, the + +147 +00:10:38,130 --> 00:10:40,490 +peripheral ray, which is larger than the para + +148 +00:10:40,490 --> 00:10:47,140 +-axial ray, all entered the eye,الاشعع مجتمع سواء + +149 +00:10:47,140 --> 00:10:49,760 +paraaxial أو peripheral كلها مع بعضها ال best + +150 +00:10:49,760 --> 00:10:53,860 +focus بتاعها هنا و هذا الموقع هو أمام ال retina هو + +151 +00:10:53,860 --> 00:11:00,420 +أمام ال retina فبالتالي هذا بيحكيلي أنه ال + +152 +00:11:00,420 --> 00:11:04,040 +spherical aberration بتسبب night myopia in the + +153 +00:11:04,040 --> 00:11:09,260 +human eye spherical aberrationIt shifts the focus + +154 +00:11:09,260 --> 00:11:13,300 +anteriorly, بتحركلي ال focus في ال human eye بتحرك + +155 +00:11:13,300 --> 00:11:17,760 +ال focus anteriorly يعني كان على الشبكية بس بسبب + +156 +00:11:17,760 --> 00:11:20,340 +ال spherical aberration اتحرك للأمام + +157 +00:11:23,300 --> 00:11:26,600 +making the patient slightly more myopic than would + +158 +00:11:26,600 --> 00:11:29,180 +be expected from vergence calculations + +159 +00:11:48,290 --> 00:11:50,710 +The object at a certain distance, for example, and + +160 +00:11:50,710 --> 00:11:53,570 +this is the optical system, and according to the + +161 +00:11:53,570 --> 00:11:55,290 +image distance, it came out in front of the + +162 +00:11:55,290 --> 00:11:57,930 +network of half a diopter. I said that this eye + +163 +00:11:57,930 --> 00:12:02,070 +has a myopia of half a diopter. Half a diopter, + +164 +00:12:02,250 --> 00:12:06,150 +according to Virgin's calculations.The spherical + +165 +00:12:06,150 --> 00:12:08,450 +aberration will make it slightly more than half a + +166 +00:12:08,450 --> 00:12:10,310 +diopter, for example one diopter, one and a + +167 +00:12:10,310 --> 00:12:13,670 +quarter diopter, one and a half diopter, so this + +168 +00:12:13,670 --> 00:12:18,150 +case is slightly more myopic than would be + +169 +00:12:18,150 --> 00:12:23,870 +expected from virgin's calculations Okay, this is + +170 +00:12:23,870 --> 00:12:26,830 +a point, there is also something that if a person + +171 +00:12:26,830 --> 00:12:30,390 +is already myopicThe spherical aberration + +172 +00:12:30,390 --> 00:12:33,610 +exacerbates myopia in low light. The spherical + +173 +00:12:33,610 --> 00:12:35,590 +aberration increases myopia. For example, if + +174 +00:12:35,590 --> 00:12:39,150 +someone has two degrees of myopia and has + +175 +00:12:39,150 --> 00:12:41,290 +spherical aberration, two degrees during the day + +176 +00:12:41,290 --> 00:12:44,210 +will become two and a half or three degrees at + +177 +00:12:44,210 --> 00:12:49,890 +night. On the contrary, in low light, in brighter + +178 +00:12:49,890 --> 00:12:53,270 +conditions during the day, the pupil constricts, + +179 +00:12:53,430 --> 00:12:56,150 +blocking the more peripheral ray and minimizing + +180 +00:12:56,150 --> 00:12:59,980 +the effect of spherical aberration.So, during the + +181 +00:12:59,980 --> 00:13:03,660 +day, when there is a high external radiation to + +182 +00:13:03,660 --> 00:13:08,840 +the pupil constricts + +183 +00:13:16,450 --> 00:13:22,650 +It means that only the para-axial region is + +184 +00:13:22,650 --> 00:13:23,410 +allowed to enter the eye, but the peripheral + +185 +00:13:23,410 --> 00:13:25,390 +region will be blocked because it will collide + +186 +00:13:25,390 --> 00:13:28,950 +with the iris, so it will get rid of the spherical + +187 +00:13:28,950 --> 00:13:31,250 +aberration A person can say that it is excellent, + +188 +00:13:31,390 --> 00:13:33,810 +so the solution is to make a meiosis for a person + +189 +00:13:33,810 --> 00:13:36,610 +who has a spherical aberration We make a meiosis + +190 +00:13:36,610 --> 00:13:41,970 +for a person who has a spherical aberration, that + +191 +00:13:41,970 --> 00:13:46,940 +is, we make a contraction for the buttطبعا لو + +192 +00:13:46,940 --> 00:13:50,960 +شوفنا الرسم هاي هذا meiotic pupil constricted او + +193 +00:13:50,960 --> 00:13:54,940 +meiotic pupil هذا normal او حتى slightly dilated + +194 +00:13:54,940 --> 00:14:00,240 +pupil هنا يعني maximally dilated pupil maximally + +195 +00:14:00,240 --> 00:14:04,780 +dilated pupil طبعا احنا بنقدر نحدث meiosis نقدر + +196 +00:14:04,780 --> 00:14:08,720 +نحدث meiosis pharmacologically بواسطة قطرة ال + +197 +00:14:08,720 --> 00:14:14,640 +bilocarbine بواسطة قطرة ال bilocarbine تستخدمليه + +198 +00:14:14,640 --> 00:14:19,480 +تضيق البقبو؟ ليه تضيق البقبو؟ ليه bilocarbine + +199 +00:14:19,480 --> 00:14:23,980 +تستخدم في علاج أنواع معينة من الglucoma، من ارتفاع + +200 +00:14:23,980 --> 00:14:29,360 +ضغط العين، بس هي بتعمل تضيق في البقبو، بتعمل تضيق + +201 +00:14:29,360 --> 00:14:32,460 +في البقبو طيب، ممكن إنسان يقول طيب إذا الحل عشان + +202 +00:14:32,460 --> 00:14:36,520 +نخلص من ال spherical aberration، بنضيق البقبو، + +203 +00:14:36,520 --> 00:14:41,000 +بنقول هنا الحل هيقدّي له مشكلتين، احنا حلينا مشكلة + +204 +00:14:41,000 --> 00:14:45,390 +ال spherical aberrationBut we will increase the + +205 +00:14:45,390 --> 00:14:47,330 +diffraction problem It is known that when the + +206 +00:14:47,330 --> 00:14:50,270 +pupil shrinks, the diffraction increases The + +207 +00:14:50,270 --> 00:14:52,830 +radiation fluctuation increases, so I will make + +208 +00:14:52,830 --> 00:14:55,590 +another problem Other than the spherical + +209 +00:14:55,590 --> 00:14:57,450 +aberration problem, which is diffraction This is + +210 +00:14:57,450 --> 00:15:01,670 +one point The second point becomes the field that + +211 +00:15:01,670 --> 00:15:06,430 +the eye can see constricted The field that the eye + +212 +00:15:06,430 --> 00:15:10,110 +can see constricted, that is, the peripheral areas + +213 +00:15:17,460 --> 00:15:19,820 +constricted field of vision constricted field of + +214 +00:15:19,820 --> 00:15:28,060 +vision constricted + +215 +00:15:28,060 --> 00:15:33,640 +field of vision constricted field of vision + +216 +00:15:33,640 --> 00:15:39,660 +constricted field of vision constricted + +217 +00:15:39,660 --> 00:15:40,320 +field of vision + +218 +00:15:45,120 --> 00:15:47,160 +constricted field of vision, maybe this picture is + +219 +00:15:47,160 --> 00:15:51,460 +more expressive when I do meiosis, here the field + +220 +00:15:51,460 --> 00:15:58,600 +extends 180 degrees on both sidesالان هذه المناطق + +221 +00:15:58,600 --> 00:16:03,460 +أصبحت برا ال field وممكن هذه المناطق تكبر مع ال + +222 +00:16:03,460 --> 00:16:07,480 +meiosis يعني بمعنى بس ال central area هي اللي + +223 +00:16:07,480 --> 00:16:10,080 +واضحة بس ال central area هي اللي واضحة فبصير + +224 +00:16:10,080 --> 00:16:15,560 +construction لل field of vision فهذا بالتالي من + +225 +00:16:15,560 --> 00:16:18,120 +عيوب ال meiosis يعني ال meiosis هعمل diffraction + +226 +00:16:18,120 --> 00:16:21,230 +أكترIt will create a constriction in the field, so + +227 +00:16:21,230 --> 00:16:28,570 +the patient with myosis will only see the central + +228 +00:16:28,570 --> 00:16:32,350 +field in front of him and the edges of the field + +229 +00:16:32,350 --> 00:16:35,490 +will not be able to see it because of myosis, so + +230 +00:16:35,490 --> 00:16:38,810 +it will create a problem for him. So in brighter + +231 +00:16:38,810 --> 00:16:45,040 +conditions, the pupil constrictsblocking the more + +232 +00:16:45,040 --> 00:16:48,140 +peripheral rays and minimizing the effect of + +233 +00:16:48,140 --> 00:16:55,140 +spherical aberration. As the pupil enlarges more + +234 +00:16:55,140 --> 00:16:59,480 +peripheral + +235 +00:16:59,480 --> 00:17:04,320 +rays enter the eye and the focus shifts anteriorly + +236 +00:17:04,320 --> 00:17:07,280 +making the patient slightly more myopic in low + +237 +00:17:07,280 --> 00:17:10,700 +light conditions.Okay, how much does it become + +238 +00:17:10,700 --> 00:17:13,740 +myopic? Does it become 10 myopia diopters or 5 + +239 +00:17:13,740 --> 00:17:16,260 +diopters? No, it's typically the amount of myopic + +240 +00:17:16,260 --> 00:17:20,020 +shift is about half a diopter, is about half a + +241 +00:17:20,020 --> 00:17:22,400 +diopter. Okay, a person might say, well, half a + +242 +00:17:22,400 --> 00:17:24,900 +diopter is little. We say, no, it's little, but it + +243 +00:17:24,900 --> 00:17:28,240 +can affect the patient. Look how a person has, for + +244 +00:17:28,240 --> 00:17:32,580 +example, minus 6 myopia diopters. This is before + +245 +00:17:32,580 --> 00:17:37,790 +the laser operation. After the laser operation,It + +246 +00:17:37,790 --> 00:17:41,110 +remained half-diopter myopia minus half-diopter, + +247 +00:17:41,950 --> 00:17:46,330 +which is + +248 +00:17:46,330 --> 00:17:49,110 +amazing because after having six degrees of + +249 +00:17:49,110 --> 00:17:51,870 +myopia, it became half-diopter myopia. But because + +250 +00:17:51,870 --> 00:17:55,210 +of the spherical aberration at night, this half + +251 +00:17:55,210 --> 00:17:57,950 +-diopter became one-diopter. One-diopter means + +252 +00:17:57,950 --> 00:18:00,510 +that Morocco needs glasses.especially if he + +253 +00:18:00,510 --> 00:18:04,850 +watches TV, if he wants to read on his phone or in + +254 +00:18:04,850 --> 00:18:08,530 +his book or any close work, there is no problem + +255 +00:18:08,530 --> 00:18:12,630 +with one diopter myopia. But if there is no + +256 +00:18:12,630 --> 00:18:15,270 +spherical aberration as much as the half diopter + +257 +00:18:15,270 --> 00:18:18,770 +myopia can seeThe distance when near is good, but + +258 +00:18:18,770 --> 00:18:22,610 +on one diopter myopia, usually when you read the + +259 +00:18:22,610 --> 00:18:26,390 +newspaper, you might need glasses So he did the + +260 +00:18:26,390 --> 00:18:29,370 +laser operation and paid for it to get rid of the + +261 +00:18:29,370 --> 00:18:32,350 +glasses But because of the spherical aberration, + +262 +00:18:32,430 --> 00:18:34,910 +this is an example, so that we don't get bored + +263 +00:18:34,910 --> 00:18:38,410 +with the word half-diopter myopia This is an + +264 +00:18:38,410 --> 00:18:41,070 +example that explains why half-diopter might make + +265 +00:18:41,070 --> 00:18:46,090 +sense to meTypically, the amount of myopic shift + +266 +00:18:46,090 --> 00:18:55,230 +is about half a diopter. In addition, because of + +267 +00:18:55,230 --> 00:18:56,110 +dark adaptation + +268 +00:19:09,670 --> 00:19:12,250 +The human eye enters a state called dark + +269 +00:19:12,250 --> 00:19:17,250 +adaptation In this dark adaptation, what happens + +270 +00:19:17,250 --> 00:19:24,380 +chemically in the retinal rodswhich is the + +271 +00:19:24,380 --> 00:19:27,540 +photoreceptors, which are the rods become more + +272 +00:19:27,540 --> 00:19:30,500 +sensitive to the shorter blue wavelength of light + +273 +00:19:30,500 --> 00:19:33,840 +become more sensitive to the shorter wavelength of + +274 +00:19:33,840 --> 00:19:36,520 +light, which is what we mean by blue light okay, + +275 +00:19:36,620 --> 00:19:40,280 +for blue light, its focus is still more anterior + +276 +00:19:40,280 --> 00:19:45,020 +contributing further to night myopia okay let's + +277 +00:19:45,020 --> 00:19:45,900 +see this picture + +278 +00:19:49,480 --> 00:19:53,620 +these eyes have spherical aberration spherical + +279 +00:19:53,620 --> 00:19:58,940 +aberration occurs to night myopia this is one + +280 +00:19:58,940 --> 00:20:01,880 +point but there is another point as long as it is + +281 +00:20:01,880 --> 00:20:04,060 +night myopia means that darkness is gone these + +282 +00:20:04,060 --> 00:20:07,460 +eyes become dark adapted the rods in the retina + +283 +00:20:07,460 --> 00:20:10,600 +become more sensitive to blue light and blue + +284 +00:20:10,600 --> 00:20:14,800 +light's focus is still anteriorIn comparison with + +285 +00:20:14,800 --> 00:20:19,200 +red and yellow and green, it's more anterior, if + +286 +00:20:19,200 --> 00:20:22,460 +this eye is closer to the red light + +287 +00:20:31,520 --> 00:20:34,300 +closer to the optical system than the red light + +288 +00:20:34,300 --> 00:20:36,380 +because the refractive index for the eye is higher + +289 +00:20:36,380 --> 00:20:39,140 +for the blue than for the green than for the red. + +290 +00:20:39,640 --> 00:20:44,920 +Okay. The night myopia happened to the white + +291 +00:20:44,920 --> 00:20:47,580 +wavelength which is contained on all this + +292 +00:20:47,580 --> 00:20:50,740 +spectrum, but for the blue it is stronger. The + +293 +00:20:50,740 --> 00:20:53,780 +night myopia is stronger and this contributes + +294 +00:20:53,780 --> 00:20:58,260 +further to night myopia.Spherical aberration + +295 +00:20:58,260 --> 00:21:05,960 +accounts + +296 +00:21:05,960 --> 00:21:19,720 +for + +297 +00:21:19,720 --> 00:21:23,500 +some cases of fluctuating vision following + +298 +00:21:23,500 --> 00:21:27,150 +keratorefractive surgery.Keratorefractive surgery + +299 +00:21:27,150 --> 00:21:30,490 +which + +300 +00:21:30,490 --> 00:21:34,030 +is laser, PRK, and similar operations that are + +301 +00:21:34,030 --> 00:21:40,170 +modified by correlation or interference in two + +302 +00:21:40,170 --> 00:21:42,730 +lenses to change the refractive error or correct + +303 +00:21:42,730 --> 00:21:45,110 +the refractive error and all of them are combined + +304 +00:21:45,110 --> 00:21:48,290 +under one title which is laser vision correction + +305 +00:21:52,050 --> 00:21:54,270 +One of the most famous operations is the Lasik + +306 +00:21:54,270 --> 00:21:57,510 +operation and PRK operation. Of course, the name + +307 +00:21:57,510 --> 00:22:00,210 +that was given to them is keratorefractive + +308 +00:22:00,210 --> 00:22:03,470 +surgery, which means the refraction operations + +309 +00:22:03,470 --> 00:22:06,450 +that occur on the cornea, kerato means cornea. + +310 +00:22:22,300 --> 00:22:25,620 +in the day it's good, 6 out of 6, at night it's + +311 +00:22:25,620 --> 00:22:29,040 +bad, it comes back the next day, it's good, in the + +312 +00:22:29,040 --> 00:22:33,280 +day .. so therefore the vision fluctuates between + +313 +00:22:33,280 --> 00:22:35,860 +good and bad, of course bad because of the + +314 +00:22:35,860 --> 00:22:39,380 +spherical aberration in the low light conditions, + +315 +00:22:39,420 --> 00:22:43,380 +in the low light condition normally the cornea is + +316 +00:22:43,380 --> 00:22:46,160 +flatter peripherally than centrally which + +317 +00:22:46,160 --> 00:22:51,220 +decreases spherical aberration okay, we say that a + +318 +00:22:51,220 --> 00:22:55,300 +personmeans that it is created in relation to the + +319 +00:22:55,300 --> 00:23:00,660 +edges more flat. Why? Because its force is less + +320 +00:23:00,660 --> 00:23:03,360 +than the central cornea. The central cornea + +321 +00:23:03,360 --> 00:23:08,060 +focuses on the retina, behind the axial rays. And + +322 +00:23:08,060 --> 00:23:11,120 +here, the peripheral cornea, if the force of the + +323 +00:23:11,120 --> 00:23:12,940 +cornea here is the same force in the central + +324 +00:23:12,940 --> 00:23:18,020 +retina, then the peripheral ray should shift to + +325 +00:23:18,020 --> 00:23:22,440 +the anterior focus, as shown in this drawing.ليه + +326 +00:23:22,440 --> 00:23:26,340 +أول رسم؟ هاي ال peripheral ray، هذي sphere تماما، + +327 +00:23:26,340 --> 00:23:29,460 +يعني التحدب هنا، نفس التحدب هنا، نفس التحدب هنا، + +328 +00:23:29,460 --> 00:23:33,520 +نفس التحدب هنا، كل نقاطها متحدبة بنفس القدر، + +329 +00:23:33,520 --> 00:23:37,060 +فبالتالي هذا ال spherical shape، ال total + +330 +00:23:37,060 --> 00:23:42,230 +spherical shapeبخل عندى تحدث spherical aberration, + +331 +00:23:42,350 --> 00:23:46,510 +spherical aberration يعني رب العالمين لما يعني خلق + +332 +00:23:46,510 --> 00:23:50,390 +الإنسان أحسن تقويمه لقد خلقنا الإنسان في أحسن + +333 +00:23:50,390 --> 00:23:55,260 +تقويم كانت الكورنيا flat peripherallyflat + +334 +00:23:55,260 --> 00:23:58,440 +peripherally يعني flat بمعنى إذا كان هنا قوتها + +335 +00:23:58,440 --> 00:24:01,460 +أربعة و أربعين ديوقتر هنا ممكن تكون تلاتة و أربعين + +336 +00:24:01,460 --> 00:24:05,060 +أو اتنين و أربعين و نص يعني أضعف كعدسة هذه المنطقة + +337 +00:24:05,060 --> 00:24:08,320 +و هذه المنطقة ال periphery of the cornea ليش؟ عشان + +338 +00:24:08,320 --> 00:24:13,170 +ماتقدرش تجمع الأشعة أمامthe retina, so that + +339 +00:24:13,170 --> 00:24:15,970 +everything is gathered in one point. If the retina + +340 +00:24:15,970 --> 00:24:18,490 +is peripherally flat and centrally more steep, + +341 +00:24:18,870 --> 00:24:22,050 +this delays or prevents or reduces the spherical + +342 +00:24:22,050 --> 00:24:25,030 +aberration, and the peripheral with the paraxial + +343 +00:24:25,030 --> 00:24:30,150 +rays gather in one point and reduce the spherical + +344 +00:24:30,150 --> 00:24:34,230 +aberration. Normally, in normal conditions, the + +345 +00:24:34,230 --> 00:24:37,610 +cornea is flatter peripherally than centrally,طبعا + +346 +00:24:37,610 --> 00:24:41,450 +هذا ايش فيته؟ هذا decreases spherical aberration + +347 +00:24:41,450 --> 00:24:43,810 +.. decreases spherical aberration ممكن انسان يقول + +348 +00:24:43,810 --> 00:24:46,990 +طب هنا احنا ال pupil هو اللي بيمنع اصلا ال + +349 +00:24:46,990 --> 00:24:50,770 +peripheral ray مش هتدخل مظبوط هنا لما يكون ال + +350 +00:24:50,770 --> 00:24:55,050 +pupil constricted ال peripheral ray مش هتدخل ففيش + +351 +00:24:55,050 --> 00:24:59,650 +spherical aberration بس من عظمة الخلق انه حتى في + +352 +00:24:59,650 --> 00:25:04,470 +الليل لما ال pupil بتوسعWhen the pupil expands and + +353 +00:25:04,470 --> 00:25:06,950 +enters the peripheral ray, which we called the + +354 +00:25:06,950 --> 00:25:10,710 +yellow color, even if the pupil is wide at night, + +355 +00:25:11,610 --> 00:25:15,150 +the focus will not change because the cornea here + +356 +00:25:15,150 --> 00:25:17,170 +is closed. The focus will not change because the + +357 +00:25:17,170 --> 00:25:23,110 +cornea here is closed. Now, some operations that + +358 +00:25:23,110 --> 00:25:27,790 +correct the vision increase the spherical + +359 +00:25:27,790 --> 00:25:30,960 +aberration. One of the most common operationswhich + +360 +00:25:30,960 --> 00:25:33,240 +causes the spherical aberration called radial + +361 +00:25:33,240 --> 00:25:37,340 +keratotomy. Radial keratotomy is the process of + +362 +00:25:37,340 --> 00:25:43,540 +coronal abrasion. This is what was discovered or + +363 +00:25:43,540 --> 00:25:46,200 +thought about in the beginning by Feodorov, the + +364 +00:25:46,200 --> 00:25:48,960 +Russian scientist Feodorov, a scientist of eye + +365 +00:25:48,960 --> 00:25:52,300 +medicine, who has a institute of eye medicine in + +366 +00:25:52,300 --> 00:25:54,100 +Moscow. + +367 +00:25:55,940 --> 00:25:58,820 +The injection process is what corrects the vision. + +368 +00:25:59,380 --> 00:26:04,060 +This process is a radial incision in the cornea. + +369 +00:26:04,580 --> 00:26:07,980 +This is one of the incisions. If we take a picture + +370 +00:26:07,980 --> 00:26:12,320 +of this, from the paracentral cornea, it does not + +371 +00:26:12,320 --> 00:26:13,800 +come to the center because it does not make a mess + +372 +00:26:13,800 --> 00:26:18,360 +in the vision. And it makes an incision, a cut. Of + +373 +00:26:18,360 --> 00:26:20,080 +course, the cut is not full thickness. That is, + +374 +00:26:20,480 --> 00:26:23,600 +the cut is about 70% to 80% of the corneal + +375 +00:26:23,600 --> 00:26:27,410 +thickness. The cut ends here.طبعا إيش هذا أهميته؟ + +376 +00:26:27,410 --> 00:26:30,570 +هذا ال .. هذه طبعا هنا عامل تقريبا عشرة، واحد، + +377 +00:26:30,570 --> 00:26:33,630 +اتنين، تلاتة، أربعة، على ناحية التانية أربعة وعلى + +378 +00:26:33,630 --> 00:26:38,210 +تسعين فيه كمان اتنين، إذا في عشر ممكن توصل لستاش و + +379 +00:26:38,210 --> 00:26:41,790 +أحيانا بنعمل تمانية طيب إيش ال .. الأهمية بتاعة + +380 +00:26:41,790 --> 00:26:46,390 +إحداث تشطيبات في الكورية؟ إنه نعملها يسموها تشطيب + +381 +00:26:46,390 --> 00:26:51,140 +القرانيةTashteeb القرنية or Radial .. Radial لإنه + +382 +00:26:51,140 --> 00:26:56,380 +جاية كإنها radius كإنه نصف قطر فبالتالي إيش + +383 +00:26:56,380 --> 00:27:00,300 +الفايدة منها؟ إنه تضعف القرنية في المناطق هاي ليش + +384 +00:27:00,300 --> 00:27:03,620 +بدنا تضعف القرنية في المناطق هاي؟ عشان ضغط العين + +385 +00:27:03,620 --> 00:27:08,810 +من الداخل يدفعها للخارج فلما بيدفعها للخارجThe + +386 +00:27:08,810 --> 00:27:11,890 +central cornea becomes flat, as seen in this + +387 +00:27:11,890 --> 00:27:14,350 +picture, the pressure of the eye pushes it + +388 +00:27:14,350 --> 00:27:19,470 +outward, because it has become thin areas, and + +389 +00:27:19,470 --> 00:27:21,410 +most areas will be affected by the pressure of the + +390 +00:27:21,410 --> 00:27:21,610 +eye, + +391 +00:27:27,970 --> 00:27:29,950 +in the areas of wrinkles + +392 +00:27:32,960 --> 00:27:37,800 +and as a result of the intraocular pressure + +393 +00:27:37,800 --> 00:27:39,860 +pressure, the central cornea will become more + +394 +00:27:39,860 --> 00:27:44,340 +flat. This will heal to about 2 to 2.5 degrees and + +395 +00:27:44,340 --> 00:27:47,800 +sometimes more than myopia and sometimes more than + +396 +00:27:47,800 --> 00:27:50,780 +myopia. Of course, this process will stop now for + +397 +00:27:50,780 --> 00:27:55,160 +several reasons.It's not predictable. You can't + +398 +00:27:55,160 --> 00:28:02,500 +determine how much the story can + +399 +00:28:02,500 --> 00:28:04,100 +be corrected. Can it be corrected to a degree or + +400 +00:28:04,100 --> 00:28:06,300 +another degree? You can't control it at any point. + +401 +00:28:06,800 --> 00:28:11,020 +The second point is that we can't after that make + +402 +00:28:11,020 --> 00:28:13,320 +it difficult to measure the power of the lens if + +403 +00:28:13,320 --> 00:28:16,240 +this person or this eye has cataract after that + +404 +00:28:17,650 --> 00:28:20,010 +means that after the keratotomy, it becomes very + +405 +00:28:20,010 --> 00:28:22,670 +difficult or requires complicated calculations to + +406 +00:28:22,670 --> 00:28:26,150 +reach the correct lens strength. But our topic + +407 +00:28:26,150 --> 00:28:30,490 +today is that we said in the natural, the + +408 +00:28:30,490 --> 00:28:38,770 +peripheral cornea should beflatter than + +409 +00:28:38,770 --> 00:28:44,550 +the central cornea + +410 +00:28:50,480 --> 00:28:53,320 +Peripheral cornea is steep, so this will increase + +411 +00:28:53,320 --> 00:28:56,980 +the spherical aberration, + +412 +00:28:57,080 --> 00:28:59,200 +and this is the secret of the sentence high radial + +413 +00:28:59,200 --> 00:29:02,600 +keratotomy makes the cornea more spherical + +414 +00:29:02,600 --> 00:29:08,350 +increasing the spherical aberrationAlso, the laser + +415 +00:29:08,350 --> 00:29:11,110 +in situ keratomylosis, which is the laser, and the + +416 +00:29:11,110 --> 00:29:13,610 +photorefractive keratectomy, which is the PRK, + +417 +00:29:13,710 --> 00:29:16,570 +which is a type of laser vision correction, the + +418 +00:29:16,570 --> 00:29:18,810 +laser process and the PRK process, which is the + +419 +00:29:18,810 --> 00:29:22,250 +laser on the surface they call it, can make the + +420 +00:29:22,250 --> 00:29:25,150 +central cornea flatter than the peripheral cornea, + +421 +00:29:25,670 --> 00:29:30,030 +with the same view that we see, so this leads to + +422 +00:29:30,030 --> 00:29:35,440 +increased spherical aberration. So here we sayThe + +423 +00:29:35,440 --> 00:29:39,800 +spherical aberration is responsible for the + +424 +00:29:39,800 --> 00:29:43,040 +fluctuating vision between good and bad, good and + +425 +00:29:43,040 --> 00:29:46,900 +bad after keratorefractive surgery. All these + +426 +00:29:46,900 --> 00:29:49,900 +operations, whether radial keratotomy, which is + +427 +00:29:49,900 --> 00:29:52,320 +now stopped by the world to run it, or LASIK or + +428 +00:29:52,320 --> 00:29:55,000 +PRK, are all considered keratorefractive + +429 +00:29:55,000 --> 00:29:57,960 +procedures, keratorefractive procedures. + +430 +00:29:58,140 --> 00:30:06,680 +Therefore, this case must be clear.Here, when we + +431 +00:30:06,680 --> 00:30:09,980 +take an Arabic paragraph, this is before LASIK and + +432 +00:30:09,980 --> 00:30:11,840 +this is after LASIK, it is clear that the central + +433 +00:30:11,840 --> 00:30:14,540 +cornea became flat, so it became a challenge to + +434 +00:30:14,540 --> 00:30:15,640 +the peripheral cornea + +435 +00:30:18,910 --> 00:30:24,190 +in general, the effect of spherical + +436 +00:30:24,190 --> 00:30:33,690 +aberration + +437 +00:30:33,690 --> 00:30:37,770 +increases as the force power of the pupil diameter + +438 +00:30:38,560 --> 00:30:41,500 +Doubling pupil diameter increases spherical + +439 +00:30:41,500 --> 00:30:46,200 +aberration 16 times ما .. ما معنا هذا الكلام؟ نطلع + +440 +00:30:46,200 --> 00:30:54,000 +على ال calculator بنقول كالقاعدى لو افترضنا انه في + +441 +00:30:54,000 --> 00:31:02,520 +وضعية .. و البقبق في وضع الطبيعي في النهار البقبق + +442 +00:31:02,520 --> 00:31:04,180 +في وضع الطبيعي في النهار + +443 +00:31:06,740 --> 00:31:08,780 +The natural state of the owl is that it is not + +444 +00:31:08,780 --> 00:31:11,600 +enlarged due to the presence of high light, which + +445 +00:31:11,600 --> 00:31:15,880 +is the rays of the sun or light in general Let's + +446 +00:31:15,880 --> 00:31:18,220 +assume that in this state there is spherical + +447 +00:31:18,220 --> 00:31:20,780 +aberration, but its quantity is small and caused + +448 +00:31:20,780 --> 00:31:25,600 +by a myopia whose amount is minus a quarter of a + +449 +00:31:25,600 --> 00:31:28,860 +diopter. Not many people will feel it So in the + +450 +00:31:28,860 --> 00:31:33,700 +state of the size of the owl like thisPupil + +451 +00:31:33,700 --> 00:31:36,760 +diameter is 3 mm + +452 +00:31:43,890 --> 00:31:45,950 +you enter a little bit of peripheral rays, it will + +453 +00:31:45,950 --> 00:31:48,890 +make an aberration, spherical aberration, it will + +454 +00:31:48,890 --> 00:31:51,710 +lead to a myopia of a quarter of a diopter, not + +455 +00:31:51,710 --> 00:31:53,870 +very significant, meaning retina here, for + +456 +00:31:53,870 --> 00:31:57,350 +example, and the focus, the best focus here, a + +457 +00:31:57,350 --> 00:32:01,270 +person will not feel it much, so you have a 3 mm + +458 +00:32:01,270 --> 00:32:04,090 +bulb, the spherical aberration is a quarter of it, + +459 +00:32:04,250 --> 00:32:06,770 +okay, let's assume that with Morocco, the bulb + +460 +00:32:06,770 --> 00:32:10,710 +became 6 + +461 +00:32:10,710 --> 00:32:15,440 +mm in size6 millimeters means it doubled twice so + +462 +00:32:15,440 --> 00:32:19,520 +the bubble at night or in the dark is 6 + +463 +00:32:19,520 --> 00:32:25,880 +millimeters okay 6 millimeters so + +464 +00:32:25,880 --> 00:32:29,380 +the amount of duplication in the bubble became + +465 +00:32:29,380 --> 00:32:34,920 +double how much increased the spherical aberration + +466 +00:32:34,920 --> 00:32:40,660 +the spherical aberration shortened SA increased in + +467 +00:32:40,660 --> 00:32:46,480 +amount The increase in + +468 +00:32:46,480 --> 00:32:54,140 +pupil diameter Pupil + +469 +00:32:54,140 --> 00:33:00,220 +diameter Equals + +470 +00:33:00,220 --> 00:33:08,480 +to 4 Equals to 4 How much did it increase? It + +471 +00:33:08,480 --> 00:33:12,200 +doubled So the spherical aberration hereThe + +472 +00:33:12,200 --> 00:33:17,800 +spherical aberration is equal to... The parrot + +473 +00:33:17,800 --> 00:33:27,920 +doubled twice 4 times which is equal to 16 Look at + +474 +00:33:27,920 --> 00:33:38,280 +the calculator The + +475 +00:33:38,280 --> 00:33:39,520 +parrot doubled twice + +476 +00:33:45,250 --> 00:33:50,210 +4 times equals 16 times what is 16 times? it is + +477 +00:33:50,210 --> 00:33:51,990 +the percentage of increase in the operation it + +478 +00:33:51,990 --> 00:33:58,010 +means that the diopter when it was 3 times + +479 +00:33:58,010 --> 00:34:01,850 +increased 16 times so let's see how much myopia + +480 +00:34:01,850 --> 00:34:11,030 +will give me we say as follows quarter + +481 +00:34:11,030 --> 00:34:13,430 +times 16 + +482 +00:34:16,820 --> 00:34:21,320 +بساوية أربعة ديوبتر ميوبيا في الليل هذا الرجل أو + +483 +00:34:21,320 --> 00:34:27,000 +هذه العين أصبح عندها spherical aberration تحدثلها + +484 +00:34:27,000 --> 00:34:30,880 +ميوبيا مقدارها minus أربعة ديوبتر، و هذه شيء مشكلة + +485 +00:34:30,880 --> 00:34:35,820 +عظيمة جدا، مشكلة عظيمة جدا، ناخد مثال آخر، بس هروح + +486 +00:34:35,820 --> 00:34:39,680 +على صفحة جديدة + +487 +00:34:53,980 --> 00:34:59,600 +we say this is an example of course and these + +488 +00:34:59,600 --> 00:35:02,720 +examples can come in exams we say the pupil + +489 +00:35:02,720 --> 00:35:08,200 +diameter we say diameter in short in day in light + +490 +00:35:08,200 --> 00:35:12,440 +is + +491 +00:35:12,440 --> 00:35:18,980 +equal to four millimeters meters + +492 +00:35:18,980 --> 00:35:25,380 +the aberrations the spherical aberrationsin this + +493 +00:35:25,380 --> 00:35:31,400 +pupil it will be minus for example two out of ten + +494 +00:35:31,400 --> 00:35:45,640 +diopters in dark, diameter dark the + +495 +00:35:45,640 --> 00:35:48,200 +pupil will be six millimeters at this man or this + +496 +00:35:48,200 --> 00:35:53,510 +eye six millimetersSo, how many times do we need + +497 +00:35:53,510 --> 00:36:00,170 +to calculate aberrations in darkness? + +498 +00:36:00,890 --> 00:36:03,050 +We say as usual, the first thing is to multiply + +499 +00:36:03,050 --> 00:36:07,370 +times and a half The aberrations will be + +500 +00:36:07,370 --> 00:36:11,490 +multiplied by how many times and a half divided by + +501 +00:36:11,490 --> 00:36:15,410 +four And + +502 +00:36:15,410 --> 00:36:19,970 +it equals, we go to the calculator, we say here + +503 +00:36:19,970 --> 00:36:28,020 +one and a half1.5 times 4 + +504 +00:36:28,020 --> 00:36:31,660 +is equal + +505 +00:36:31,660 --> 00:36:42,560 +to 5.6 + +506 +00:36:42,560 --> 00:36:45,440 +this is the amount of multiplication in the + +507 +00:36:45,440 --> 00:36:50,040 +aberration the aberration is basically minus 2 out + +508 +00:36:50,040 --> 00:36:54,740 +of 10 diopters let's see how much will happentwo + +509 +00:36:54,740 --> 00:36:56,580 +out of ten, of course the minus sign we will put + +510 +00:36:56,580 --> 00:37:04,120 +later, times five or six out of one hundred and + +511 +00:37:04,120 --> 00:37:07,480 +it equals so you will give me approximately one + +512 +00:37:07,480 --> 00:37:12,020 +diopter of myopia so you will give me + +513 +00:37:12,020 --> 00:37:18,080 +approximately one diopter of myopia so + +514 +00:37:18,080 --> 00:37:19,880 +I have the aberrations + +515 +00:37:22,580 --> 00:37:25,100 +it will double five times and a little bit, here + +516 +00:37:25,100 --> 00:37:27,700 +two out of ten will become one, correct, so minus + +517 +00:37:27,700 --> 00:37:32,280 +one diopter myopia, approximately, so this if it + +518 +00:37:32,280 --> 00:37:34,320 +increases once and a half, if it increases twice + +519 +00:37:34,320 --> 00:37:36,960 +it will be more, always the aberration increases + +520 +00:37:36,960 --> 00:37:40,080 +with the amount of the fourth force, increases + +521 +00:37:40,080 --> 00:37:42,840 +with the amount of the fourth force, the fourth + +522 +00:37:42,840 --> 00:37:45,300 +axis to the amount of increase in the pupillary + +523 +00:37:45,300 --> 00:37:51,730 +diameter, soDoubling or in general the effect of + +524 +00:37:51,730 --> 00:37:58,650 +spherical aberration increases as + +525 +00:37:58,650 --> 00:38:02,500 +the fourth power of the pupil diameterdoubling, + +526 +00:38:02,660 --> 00:38:05,440 +doubling the pupil diameter, if the pupil + +527 +00:38:05,440 --> 00:38:07,760 +increases to double, the aberrations will increase + +528 +00:38:07,760 --> 00:38:12,380 +from their original position to 16 times because 2 + +529 +00:38:12,380 --> 00:38:16,020 +plus 4 equals 2 times 2 times 2 times 2 equals 16 + +530 +00:38:16,020 --> 00:38:20,240 +thus a small change in pupil size can cause a + +531 +00:38:20,240 --> 00:38:23,320 +significant change in refraction and this makes a + +532 +00:38:23,320 --> 00:38:27,760 +lazy person happy during the day but very tired at + +533 +00:38:27,760 --> 00:38:42,490 +nightLaser vision corrections should be considered + +534 +00:38:42,490 --> 00:38:46,270 +in patients who have fluctuating vision despite + +535 +00:38:46,270 --> 00:38:49,910 +stable K readings.and well-healed corneas + +536 +00:38:49,910 --> 00:38:53,170 +following keratorefractive surgery. When we + +537 +00:38:53,170 --> 00:38:57,330 +examine a person after keratorefractive surgery, + +538 +00:38:57,470 --> 00:39:01,050 +such as LASIK or PRK, and we are not happy, and we + +539 +00:39:01,050 --> 00:39:04,070 +examined him with K1 and K2, his cornea is stable, + +540 +00:39:04,310 --> 00:39:06,930 +today we examined him after a month, after two + +541 +00:39:06,930 --> 00:39:10,440 +months, he is stable, there is no change.and the + +542 +00:39:10,440 --> 00:39:13,500 +patient was treated after the laser operation in + +543 +00:39:13,500 --> 00:39:17,300 +an excellent way and he is not happy, we have to + +544 +00:39:17,300 --> 00:39:20,240 +take into account the case of night myopia because + +545 +00:39:20,240 --> 00:39:22,660 +of the spherical aberration because of the + +546 +00:39:22,660 --> 00:39:27,320 +spherical aberration, so this case must be clear + +547 +00:39:27,320 --> 00:39:30,900 +let's talk about the last topic in geometric + +548 +00:39:30,900 --> 00:39:34,300 +optics with us which is the chromatic aberration + +549 +00:39:36,860 --> 00:39:40,580 +من اسمها يعني الزيغ اللوني، الزيغ اللوني بنقول + +550 +00:39:40,580 --> 00:39:44,260 +thus far in our analysis of aberrations لما + +551 +00:39:44,260 --> 00:39:46,660 +اتحدثنا عن ال spherical aberration, we have + +552 +00:39:46,660 --> 00:39:50,160 +ignored the effect of wavelengths ماكناش نفرج بين + +553 +00:39:50,160 --> 00:39:53,140 +blue wavelengths أو red wavelengths أو green + +554 +00:39:53,140 --> 00:39:56,580 +wavelengths، ماكننا نفرج منهمOphthalmic lenses and + +555 +00:39:56,580 --> 00:40:01,280 +the human eye are often treated as they focus all + +556 +00:40:01,280 --> 00:40:04,020 +wavelengths identically, but this is not true. + +557 +00:40:08,620 --> 00:40:11,280 +Most lenses + +558 +00:40:21,020 --> 00:40:24,720 +introduce dispersion. Dispersion in the human eye + +559 +00:40:24,720 --> 00:40:27,280 +causes chromatic aberration. A chromatic + +560 +00:40:27,280 --> 00:40:31,080 +aberration in which blue light focuses in front of + +561 +00:40:31,080 --> 00:40:34,180 +red light.يعني لما تضوء ال white light بيدخل لعين + +562 +00:40:34,180 --> 00:40:38,460 +الإنسان بما إنها optical system وإله كثافات متعددة + +563 +00:40:38,460 --> 00:40:42,390 +ومختلفة ال cornea بتختلف كثافتها عن ال ACAquarius + +564 +00:40:42,390 --> 00:40:45,590 +is different from Crystalline lens and vitreous is + +565 +00:40:45,590 --> 00:40:53,790 +different from Crystalline + +566 +00:40:53,790 --> 00:40:56,650 +lens and vitreous is different from Crystalline + +567 +00:40:56,650 --> 00:40:57,430 +lens and vitreous is different from Crystalline + +568 +00:40:57,430 --> 00:40:57,450 +lens and vitreous is different from Crystalline + +569 +00:40:57,450 --> 00:40:57,470 +lens and vitreous is different from Crystalline + +570 +00:40:57,470 --> 00:40:57,690 +lens and vitreous is different from Crystalline + +571 +00:40:57,690 --> 00:40:57,970 +lens and vitreous is different from Crystalline + +572 +00:40:57,970 --> 00:40:58,010 +lens and vitreous is different from Crystalline + +573 +00:40:58,010 --> 00:41:08,970 +lens and vitreous is different from Crystalline + +574 +00:41:08,970 --> 00:41:11,090 +lens and vitreous is different from CrystThe + +575 +00:41:11,090 --> 00:41:14,390 +difference between the blue and red foci is about + +576 +00:41:14,390 --> 00:41:34,870 +half a diopter + +577 +00:41:35,730 --> 00:41:38,730 +Okay, if you imagine the opposite, that the blue + +578 +00:41:38,730 --> 00:41:41,170 +light is fixed, it will not be affected by the + +579 +00:41:41,170 --> 00:41:43,690 +lens that I put, and I put plus and a half, there + +580 +00:41:43,690 --> 00:41:45,750 +at the beginning I put minus and a half, it + +581 +00:41:45,750 --> 00:41:48,970 +returned to the focus and left it at the red If I + +582 +00:41:48,970 --> 00:41:51,470 +put plus and a half and I imagine that the blue is + +583 +00:41:51,470 --> 00:41:57,220 +fixedال Red هيقدم بال plus نص هتجمعه في مسافة أقرب + +584 +00:41:57,220 --> 00:42:01,020 +فهيصير hand ل blue، اذا الفرق بين ال blue focus و + +585 +00:42:01,020 --> 00:42:07,300 +ال red focus هو نص ديوبتر كقيمة، كقيمة in the + +586 +00:42:07,300 --> 00:42:11,260 +average eyeBut maybe much greater, it can be more + +587 +00:42:11,260 --> 00:42:13,820 +than half a diopter, but usually the difference is + +588 +00:42:13,820 --> 00:42:16,800 +between the two foci, the red focus and the blue + +589 +00:42:16,800 --> 00:42:19,720 +focus, or the blue wavelength focus and the red + +590 +00:42:19,720 --> 00:42:25,570 +wavelength focus is half a diopterEven if all + +591 +00:42:25,570 --> 00:42:28,970 +monochromatic aberrations could be compensated for + +592 +00:42:28,970 --> 00:42:32,510 +or eliminated by contact lenses or refractive + +593 +00:42:32,510 --> 00:42:35,390 +surgery, chromatic aberration and diffraction + +594 +00:42:35,390 --> 00:42:38,290 +would still limit the optical resolving power of + +595 +00:42:38,290 --> 00:42:38,630 +the eye. + +596 +00:43:06,450 --> 00:43:09,970 +No, this is called monochromatic aberration It's + +597 +00:43:09,970 --> 00:43:13,070 +like one light, one color, without multiple colors + +598 +00:43:13,070 --> 00:43:17,950 +So if I can get rid of spherical aberration with + +599 +00:43:17,950 --> 00:43:25,310 +contact lens or kerato refractive procedure So if + +600 +00:43:25,310 --> 00:43:29,310 +I can get rid of monochromatic aberration + +601 +00:43:31,660 --> 00:43:33,700 +Either it's the taglines or the modern refractive + +602 +00:43:33,700 --> 00:43:37,480 +surgery, the chromatic aberration and diffraction + +603 +00:43:37,480 --> 00:43:41,920 +are still restricting me from resolving the power + +604 +00:43:41,920 --> 00:43:46,140 +of the eye to be ideal It's true that it's + +605 +00:43:46,140 --> 00:43:49,740 +improved, but because of the chromatic aberration + +606 +00:43:49,740 --> 00:43:53,860 +and diffraction, there's still a kind of + +607 +00:43:53,860 --> 00:43:59,970 +limitationThe ability of the eye to see and the + +608 +00:43:59,970 --> 00:44:03,990 +quality of vision This example explains to me how + +609 +00:44:03,990 --> 00:44:07,010 +the chromatic aberration looks like I explain the + +610 +00:44:07,010 --> 00:44:09,670 +color hallucinations around the picture, that is, + +611 +00:44:09,670 --> 00:44:11,610 +the author of the topic is a chromatic aberration + +612 +00:44:11,610 --> 00:44:15,850 +and he imagines himself to give me a chromatic + +613 +00:44:15,850 --> 00:44:17,870 +aberration simulation Sometimes when we look with + +614 +00:44:17,870 --> 00:44:20,770 +the naked eye, if there is a lot of chromatic + +615 +00:44:20,770 --> 00:44:23,970 +aberration, or through the lens of the glassesOr + +616 +00:44:23,970 --> 00:44:26,970 +through any optical system, we can see color halos + +617 +00:44:26,970 --> 00:44:32,490 +as we see Also here when we test the vision, this + +618 +00:44:32,490 --> 00:44:36,390 +is the letter E and the E chart Here there is a + +619 +00:44:36,390 --> 00:44:39,010 +little chromatic aberration, here there is more + +620 +00:44:39,010 --> 00:44:42,030 +chromatic aberration, here the chromatic + +621 +00:44:42,030 --> 00:44:47,150 +aberration is not present So this is the case, of + +622 +00:44:47,150 --> 00:44:52,630 +courseممكن أحدث هذه بواسطة بريزمات متعددة القوة، + +623 +00:44:52,630 --> 00:44:57,650 +بريزم خفيف القوة مثلا، هنا بريزم يعني عالي القوة، + +624 +00:44:57,650 --> 00:45:02,930 +هنا بدون بريزم without the prism، فبنلاقي أنه ال + +625 +00:45:02,930 --> 00:45:06,450 +aberration أقل، ال aberration أقلزي الـ prism أحدث + +626 +00:45:06,450 --> 00:45:10,130 +لـ chromatic aberration أي عدسة نضارة ممكن تحدث + +627 +00:45:10,130 --> 00:45:15,110 +لهذه القضية طيب كيف نتخلص من ال aberration من ال + +628 +00:45:15,110 --> 00:45:18,630 +chromatic aberration بعملية اسمها ال chromatic + +629 +00:45:18,630 --> 00:45:22,290 +compensation ال chromatic compensation is common + +630 +00:45:22,290 --> 00:45:26,390 +in microscope, telescope, camera lenses بمعنى أخر + +631 +00:45:26,390 --> 00:45:31,000 +الميكросكبات تستخدم فيه العملياتOr in factories, + +632 +00:45:31,520 --> 00:45:35,720 +telescopes used in space science, and some lenses + +633 +00:45:35,720 --> 00:45:40,140 +for sensitive cameras, they take into account that + +634 +00:45:40,140 --> 00:45:42,200 +they do chromatic compensation, they don't let + +635 +00:45:42,200 --> 00:45:46,480 +them make additions where there is no chromatic + +636 +00:45:46,480 --> 00:45:49,740 +aberrationbut it is not yet available in + +637 +00:45:49,740 --> 00:45:52,460 +spectacled contact or intraocular lenses. The + +638 +00:45:52,460 --> 00:45:56,240 +chromatic compensation is not yet available in + +639 +00:45:56,240 --> 00:45:59,820 +spectacled contact lenses or intraocular lenses + +640 +00:45:59,820 --> 00:46:03,480 +that are planted in the place where the + +641 +00:46:03,480 --> 00:46:07,440 +crystalline lens is removed during the cataract + +642 +00:46:07,440 --> 00:46:10,560 +operation. Okay, if it is not available, how do we + +643 +00:46:10,560 --> 00:46:14,710 +solve the problem of chromatic aberration?بنشوف أي + +644 +00:46:14,710 --> 00:46:18,430 +.. أي هالة لونية أكثر إزعاجا هي ال .. هي ال .. + +645 +00:46:18,430 --> 00:46:22,390 +الزرقاء و لا ال red و لا ال green و بنعملها + +646 +00:46:22,390 --> 00:46:25,550 +blocking و بنعملها blocking في عندنا blue blocking + +647 +00:46:25,550 --> 00:46:30,170 +lenses أو glasses، red blocking glasses و other + +648 +00:46:30,170 --> 00:46:34,150 +colored sunglasses improve visual acuity by + +649 +00:46:34,150 --> 00:46:36,810 +decreasing chromatic aberration مابتنهيش ل + +650 +00:46:36,810 --> 00:46:39,690 +chromatic aberration و أنما بتشيل منها أكثر + +651 +00:46:39,690 --> 00:46:44,440 +wavelengths إزعاجا للمريضممتاز، هذا شيء رائع، آه + +652 +00:46:44,440 --> 00:46:48,320 +بس إله ثمن، هذا الشيء الرائع، إله ثمن، اللي هو إيش + +653 +00:46:48,320 --> 00:46:52,100 +الثمن، they do so however at the cost of reducing + +654 +00:46:52,100 --> 00:46:55,000 +the color content of the perceived image، يعني + +655 +00:46:55,000 --> 00:46:59,160 +بيصير كمية اللون في ال image اللي أنا ماخدها أقل + +656 +00:46:59,160 --> 00:47:03,100 +من وضعها في الطبيعي، أقل من وضعها في الطبيعي، شوف + +657 +00:47:03,100 --> 00:47:08,460 +هنا الصورة، هاي camera، هنا في عندي شوية + +658 +00:47:08,460 --> 00:47:13,220 +aberrations, chromatic aberrationsوهنا بدون .. or + +659 +00:47:13,220 --> 00:47:16,300 +corrected .. يعني هنا strong chromatic + +660 +00:47:16,300 --> 00:47:21,440 +aberrations، فيه حالات لونية حول صورة الفهد، إذا + +661 +00:47:21,440 --> 00:47:26,380 +بندجق فيها، بنشوفها، هنا واضحة جدا طبعا، بس كمية + +662 +00:47:26,380 --> 00:47:31,670 +اللون، كمية اللون أقلكمية اللون في الصورة أقل كمية + +663 +00:47:31,670 --> 00:47:34,970 +اللون في الصورة أقل لازال + +664 +00:47:34,970 --> 00:47:41,290 +فيها لون بس أقل من الصورة اللي في الوضع الأساسي + +665 +00:47:41,290 --> 00:47:41,410 +الأساسي لازال فيها لون بس أقل من الصورة اللي في + +666 +00:47:41,410 --> 00:47:44,090 +الوضع الأساسي هنا الصورة يعني بتبين الوضع أكتر من + +667 +00:47:44,090 --> 00:47:47,930 +صورة الفهد هنا جذع الشجرة هنا قبل ال correction + +668 +00:47:47,930 --> 00:47:50,690 +for a chromatic aberration واضح الهالات اللونية + +669 +00:47:50,690 --> 00:47:55,910 +واضح الهالات اللونية و هنا after after correction + +670 +00:47:55,910 --> 00:47:57,410 +of a chromatic aberration + +671 +00:48:01,170 --> 00:48:03,890 +But the amount of color, if we notice, is less + +672 +00:48:03,890 --> 00:48:06,850 +than the picture before correcting the chromatic + +673 +00:48:06,850 --> 00:48:09,410 +aberration of course, this is of course for blue + +674 +00:48:09,410 --> 00:48:13,670 +blocking, glasses and regular sunglasses, all + +675 +00:48:13,670 --> 00:48:17,310 +these help in decreasing aberration, but according + +676 +00:48:17,310 --> 00:48:22,200 +to ..المحتوى اللونى بتاع ال perceived image بتاع + +677 +00:48:22,200 --> 00:48:26,600 +ال perceived image هنا احنا بتنتهي مادة ال + +678 +00:48:26,600 --> 00:48:30,240 +geometric optics ويعطيكم العافية والسلام عليكم + +679 +00:48:30,240 --> 00:48:32,140 +ورحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/WhDP7Okb7qc_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/WhDP7Okb7qc_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..7082b10dcfa2e2338d51cf1663780fb69f3c7cad --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/WhDP7Okb7qc_postprocess.srt @@ -0,0 +1,2832 @@ +1 +00:00:01,530 --> 00:00:04,790 +بسم الله الرحمن الرحيم بنواصل مع محاضرات ال + +2 +00:00:04,790 --> 00:00:09,170 +geometric optics ووصلنا لموضوع ال a focal system + +3 +00:00:10,010 --> 00:00:13,590 +The focal system is a very important topic, and + +4 +00:00:13,590 --> 00:00:17,430 +here, what is negative? I mean, we have optical + +5 +00:00:17,430 --> 00:00:22,870 +systems without focus, without focus, what is this + +6 +00:00:22,870 --> 00:00:25,170 +optical system? How do we understand it? We know + +7 +00:00:25,170 --> 00:00:28,630 +that every optical system, until now, every + +8 +00:00:28,630 --> 00:00:31,310 +optical system has two focal points, that is, it + +9 +00:00:31,310 --> 00:00:35,330 +is a focal systemand LO2 nodal point and LO2 + +10 +00:00:35,330 --> 00:00:39,610 +principal point. The focal systems are a kind of + +11 +00:00:39,610 --> 00:00:43,550 +optical system that differs a little bit from what + +12 +00:00:43,550 --> 00:00:49,190 +we studied before. But to know what the difference + +13 +00:00:49,190 --> 00:00:53,090 +is, we can say thatلو عندنا عدسة واحدة، هذه العدسة + +14 +00:00:53,090 --> 00:00:56,350 +تعتبر لحالها optical system، إليها two nodal + +15 +00:00:56,350 --> 00:00:59,610 +points و two principal points و two focal points، + +16 +00:00:59,610 --> 00:01:03,690 +هذه لحالها تعتبر optical system و بنزميه focal + +17 +00:01:03,690 --> 00:01:07,350 +optical system، يعني optical system إليه focusOr + +18 +00:01:07,350 --> 00:01:10,850 +it has cardinal points This lens also has the same + +19 +00:01:10,850 --> 00:01:13,470 +thing, it has two nodal points, two focal points, + +20 +00:01:13,590 --> 00:01:16,270 +two principal points, and we consider it as an + +21 +00:01:16,270 --> 00:01:19,470 +optical system based on itself, and it has three + +22 +00:01:19,470 --> 00:01:23,150 +pairs of cardinal points Now if we talk about two + +23 +00:01:23,150 --> 00:01:28,010 +lenses together, two lenses togetherAlso, they + +24 +00:01:28,010 --> 00:01:31,850 +consider a focal system to have two nodal points, + +25 +00:01:31,950 --> 00:01:34,130 +two principal points, two focal points, but they + +26 +00:01:34,130 --> 00:01:37,250 +are different from the three pairs that belong to + +27 +00:01:37,250 --> 00:01:40,010 +each lens on it, that is, a new optical system + +28 +00:01:40,010 --> 00:01:42,690 +Okay, either you see today what we want to + +29 +00:01:42,690 --> 00:01:47,110 +understand or how we want to know to understand + +30 +00:01:47,110 --> 00:01:51,990 +the focal systems, the focal systemsTo remember in + +31 +00:01:51,990 --> 00:01:55,290 +the focal systems, some very important things that + +32 +00:01:55,290 --> 00:01:57,910 +we should remember from the previous lectures is + +33 +00:01:57,910 --> 00:02:02,870 +that the parallel rays, the parallel rays that + +34 +00:02:02,870 --> 00:02:05,730 +come parallel to the optical axis must pass + +35 +00:02:05,730 --> 00:02:08,270 +through the FP of the system, whether it is one + +36 +00:02:08,270 --> 00:02:11,070 +lens or several lenses, that is, the parallel + +37 +00:02:11,070 --> 00:02:14,110 +rays, this line, let's go to the colored picture + +38 +00:02:18,950 --> 00:02:26,490 +This blue line, parallel to the optical axis, + +39 +00:02:27,290 --> 00:02:32,450 +passes through the entire FB of the systemOkay, + +40 +00:02:32,870 --> 00:02:35,970 +the second blue line or the second light ray that + +41 +00:02:35,970 --> 00:02:39,210 +enters the FA will be parallel to the optical + +42 +00:02:39,210 --> 00:02:42,730 +axis, so the parallel must enter the FP and the + +43 +00:02:42,730 --> 00:02:45,990 +one that enters the FA must be parallel, whether + +44 +00:02:45,990 --> 00:02:48,310 +we are talking about one lens or we are talking + +45 +00:02:48,310 --> 00:02:51,290 +about many lenses. Okay, in the focal system, + +46 +00:02:51,710 --> 00:02:53,290 +let's see what happens to me + +47 +00:02:59,890 --> 00:03:04,010 +Consider an optical system consisting of two thin + +48 +00:03:04,010 --> 00:03:07,870 +lenses in air I have a plus two diopter lens and I + +49 +00:03:07,870 --> 00:03:10,850 +have a minus five diopter lens and the distance + +50 +00:03:10,850 --> 00:03:12,830 +between them is thirty centimeters and the + +51 +00:03:12,830 --> 00:03:15,030 +distance between them is thirty centimeters and + +52 +00:03:15,030 --> 00:03:19,050 +now I want to have parallel rays, parallel rays, + +53 +00:03:19,190 --> 00:03:22,770 +so we want to see where these parallel rays will + +54 +00:03:22,770 --> 00:03:25,190 +come out, where they will come out, we add a chip + +55 +00:03:25,190 --> 00:03:27,430 +and we come to do our calculations + +56 +00:03:34,630 --> 00:03:41,250 +But we need to move the image to make things clear + +57 +00:03:41,250 --> 00:03:47,850 +Let's + +58 +00:03:47,850 --> 00:03:54,650 +zoom in a little bit and follow the Virgin's + +59 +00:03:54,650 --> 00:03:57,930 +Calculation calculations First thing, Parallel + +60 +00:03:57,930 --> 00:04:02,130 +Rays means that U is zero U at the first lens is + +61 +00:04:02,130 --> 00:04:08,630 +equal to zero without calculation Okay, u plus b + +62 +00:04:08,630 --> 00:04:11,710 +is + +63 +00:04:11,710 --> 00:04:24,810 +equal to v, let's lower the speech a little bit + +64 +00:04:24,810 --> 00:04:29,870 +Okay, the u I have is zero plus the power two is + +65 +00:04:29,870 --> 00:04:33,310 +equal to, two is a diopter of course, is equal to + +66 +00:04:33,310 --> 00:04:45,860 +vإذن V تساوي plus اتنين ديوبتر I تساوي هنشرط على V + +67 +00:04:45,860 --> 00:04:52,000 +ويساوي + +68 +00:04:52,000 --> 00:05:02,100 +واحد على plus اتنين ديوبتر ويساوي plus نص متريعني + +69 +00:05:02,100 --> 00:05:06,140 +على يمين العدسة ال plus على بعد نص متر هي تلاتين + +70 +00:05:06,140 --> 00:05:10,630 +سانتي و عشرين سانتي، اذا الصورة الأولىالصورة + +71 +00:05:10,630 --> 00:05:14,290 +الأولى بتاعت العدسة لplus على بعد خمسين صنطي من + +72 +00:05:14,290 --> 00:05:18,570 +العدسة لplus على بعد خمسين صنطي من العدسة لplus + +73 +00:05:18,570 --> 00:05:23,770 +طيب الصورة الأولى هي object للعدسة التانية بس جاي + +74 +00:05:23,770 --> 00:05:26,310 +عاليمين الأشعة هتضرب في العدسة التانية و هي + +75 +00:05:26,310 --> 00:05:30,050 +convergent يعني virtual object virtual object + +76 +00:05:30,050 --> 00:05:38,860 +للعدسة التانية بنقول U تساوي زائد N على Oplus N + +77 +00:05:38,860 --> 00:05:43,100 +over O, then because the body on the right is a + +78 +00:05:43,100 --> 00:05:45,700 +virtual object, the rays are convergent, which is + +79 +00:05:45,700 --> 00:05:51,720 +plus and equal to plus one, which is N over O, the + +80 +00:05:51,720 --> 00:05:54,780 +distance is twenty centimeters, the object is the + +81 +00:05:54,780 --> 00:05:56,060 +image of the first lens, which is fifty + +82 +00:05:56,060 --> 00:05:59,280 +centimeters away from the first lens, but twenty + +83 +00:05:59,280 --> 00:06:01,460 +centimeters away from the second lens on the + +84 +00:06:01,460 --> 00:06:09,660 +right, then plus two out of ten metersويساوي plus + +85 +00:06:09,660 --> 00:06:14,800 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +86 +00:06:14,800 --> 00:06:15,800 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +87 +00:06:15,800 --> 00:06:21,200 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +88 +00:06:21,200 --> 00:06:24,200 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +89 +00:06:24,200 --> 00:06:25,800 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +90 +00:06:25,800 --> 00:06:29,260 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +91 +00:06:29,260 --> 00:06:35,700 +خمسة ديوبتV is equal to zero means that the rays + +92 +00:06:35,700 --> 00:06:40,600 +are parallel The rays entered this system parallel + +93 +00:06:40,600 --> 00:06:43,780 +and came out parallel So this is the first time we + +94 +00:06:43,780 --> 00:06:49,820 +have an example of this The rays parallel to the + +95 +00:06:49,820 --> 00:06:53,220 +optical axis come out parallel and do not enter + +96 +00:06:53,220 --> 00:06:59,300 +the FP of the systemActually, this system doesn't + +97 +00:06:59,300 --> 00:07:06,400 +have FP, FA, or cardinal points, nor nodal points, + +98 +00:07:06,960 --> 00:07:11,660 +nor principal points, nor focal points, as the + +99 +00:07:11,660 --> 00:07:12,440 +question clarified + +100 +00:07:15,170 --> 00:07:18,050 +parallel to the optical axis and it turned out to + +101 +00:07:18,050 --> 00:07:22,930 +be parallel. So this is the first time that there + +102 +00:07:22,930 --> 00:07:27,730 +are no focal points or even cardinal points for + +103 +00:07:27,730 --> 00:07:31,510 +this system. This system is called a focal system. + +104 +00:07:31,610 --> 00:07:34,430 +We will see this in resimulation, how it will + +105 +00:07:34,430 --> 00:07:41,070 +happen in this case. We say that this is a lens + +106 +00:07:42,930 --> 00:07:47,630 +Plus two No + +107 +00:07:47,630 --> 00:07:52,830 +First + +108 +00:07:52,830 --> 00:07:57,450 +we put the grid Then + +109 +00:07:57,450 --> 00:08:05,610 +we put lens plus two Okay + +110 +00:08:05,610 --> 00:08:10,210 +Plus two means the focal length is five hundred + +111 +00:08:10,210 --> 00:08:17,870 +millimeters, fifty centimetersand then we put a + +112 +00:08:17,870 --> 00:08:21,770 +length minus 5 + +113 +00:08:21,770 --> 00:08:26,050 +which is minus 200 mm, minus 20 cm above its + +114 +00:08:26,050 --> 00:08:28,930 +length and we put between them a certain distance + +115 +00:08:40,810 --> 00:08:46,950 +طيب، الآن بدنا نجيب حزمة إشعاعية متوازية مع بعضها + +116 +00:08:46,950 --> 00:08:50,610 +البعض، + +117 +00:08:50,610 --> 00:08:57,330 +و طبعا نخفف كثافة الأشعة، + +118 +00:08:57,330 --> 00:08:58,470 +و نضلنا نبعد + +119 +00:09:06,230 --> 00:09:09,570 +when the rays are parallel when the rays are + +120 +00:09:09,570 --> 00:09:13,310 +parallel now we take a ruler and we see the + +121 +00:09:13,310 --> 00:09:20,130 +distance between no this is not a ruler we take a + +122 +00:09:20,130 --> 00:09:23,830 +ruler and + +123 +00:09:23,830 --> 00:09:29,270 +this is the ruler we see the distance between the + +124 +00:09:29,270 --> 00:09:29,750 +two lenses + +125 +00:09:36,030 --> 00:09:40,110 +طبعا عشان تخرج الأشعة متساوي أو متوازية تماما لازم + +126 +00:09:40,110 --> 00:09:44,890 +يكون المسافة عندي تلاتين سانتي، يعني تلاتميت ملي، + +127 +00:09:44,890 --> 00:09:48,730 +تلاتميت ملي، فبالتالي هذه القضية، هذا a focal + +128 +00:09:48,730 --> 00:09:55,170 +system، أشعة دخلت لل system موازية لبعضها البعض، + +129 +00:09:55,170 --> 00:09:58,930 +وخرجت من ال system موازية لبعضها البعض، موازية + +130 +00:09:58,930 --> 00:10:02,810 +لبعضها البعض، فبالتالي هذه القضية ضروري جدا تكون + +131 +00:10:02,810 --> 00:10:07,290 +واضحة، ضروري جدا تكون واضحة.The distance must be + +132 +00:10:07,290 --> 00:10:09,670 +calculated accurately, and we will tell you why 30 + +133 +00:10:09,670 --> 00:10:16,450 +cm if the lens is plus 2 and minus 5 Let's take + +134 +00:10:16,450 --> 00:10:21,230 +another example This is the grid, this is me for + +135 +00:10:21,230 --> 00:10:28,870 +example No, this is a ray We + +136 +00:10:28,870 --> 00:10:30,090 +need an ideal lens + +137 +00:10:38,630 --> 00:10:41,590 +Let's assume that plus four is more than two + +138 +00:10:41,590 --> 00:10:48,470 +hundred and fifty millimeters The focal length is + +139 +00:10:48,470 --> 00:10:53,050 +two hundred and fifty millimeters This is another + +140 +00:10:53,050 --> 00:11:05,550 +lens Let's + +141 +00:11:05,550 --> 00:11:06,410 +make it for example + +142 +00:11:10,790 --> 00:11:15,530 +minus one hundred which is minus ten diopters and + +143 +00:11:15,530 --> 00:11:19,050 +see how much distance there should be between them + +144 +00:11:19,050 --> 00:11:27,930 +to give me a focal system a focal system we + +145 +00:11:27,930 --> 00:11:29,530 +said that the first attribute of a focal system is + +146 +00:11:29,530 --> 00:11:31,570 +that the rays that enter it are parallel and exit + +147 +00:11:31,570 --> 00:11:36,270 +parallel here it didn't exit parallel we want to + +148 +00:11:36,270 --> 00:11:40,730 +see how we can make it paralleland then we see how + +149 +00:11:40,730 --> 00:11:43,090 +the distance is calculated, but it's better to + +150 +00:11:43,090 --> 00:11:46,170 +reduce the intensity of the rays to make the + +151 +00:11:46,170 --> 00:11:52,650 +picture clearer this + +152 +00:11:52,650 --> 00:11:55,810 +way the rays are parallel or close to be parallel + +153 +00:11:55,810 --> 00:11:58,930 +we + +154 +00:11:58,930 --> 00:12:00,930 +will see with the ruler how much is the distance + +155 +00:12:00,930 --> 00:12:05,130 +between the two poles this + +156 +00:12:05,130 --> 00:12:09,400 +is the rulerand see the distance between the two + +157 +00:12:09,400 --> 00:12:09,520 +lenses + +158 +00:12:14,130 --> 00:12:16,870 +Exactly fifteen centimeters, one hundred and fifty + +159 +00:12:16,870 --> 00:12:21,030 +millimeters, fifteen centimeters. Okay, you might + +160 +00:12:21,030 --> 00:12:23,230 +ask, is it the distance of deviation? No, it's the + +161 +00:12:23,230 --> 00:12:25,170 +distance, not deviation. The distance, not + +162 +00:12:25,170 --> 00:12:27,950 +deviation. By measuring the focal length of the + +163 +00:12:27,950 --> 00:12:31,390 +plus lens and measuring the focal length of the + +164 +00:12:31,390 --> 00:12:34,070 +minus lens, the focal length of the plus lens to + +165 +00:12:34,070 --> 00:12:36,950 +the plus four is the focal length of twenty-five + +166 +00:12:36,950 --> 00:12:43,830 +centimeters.And the focal length of minus ten is + +167 +00:12:43,830 --> 00:12:47,030 +minus ten centimeters Twenty-five centimeters + +168 +00:12:47,030 --> 00:12:49,850 +minus ten centimeters is fifteen centimeters The + +169 +00:12:49,850 --> 00:12:53,230 +distance must be between the two to give me a + +170 +00:12:53,230 --> 00:12:56,950 +focal system A focal system Here in the example + +171 +00:12:56,950 --> 00:13:01,450 +that we hit a while ago We said that the focal + +172 +00:13:01,450 --> 00:13:05,310 +length of plus two is the maximum distance of plus + +173 +00:13:05,310 --> 00:13:08,230 +two which is fifty centimeters Fifty centimeters + +174 +00:13:09,020 --> 00:13:12,920 +And the distance of the minus 5 diopter lens is + +175 +00:13:12,920 --> 00:13:16,800 +minus 20 centimeters. 50 centimeters minus 20 + +176 +00:13:16,800 --> 00:13:19,000 +centimeters, then the distance must be 30 + +177 +00:13:19,000 --> 00:13:21,080 +centimeters between the two. + +178 +00:13:25,310 --> 00:13:28,530 +The posterior focus of this lens, not of the + +179 +00:13:28,530 --> 00:13:31,810 +system, the system has no focus The posterior + +180 +00:13:31,810 --> 00:13:35,170 +focus of this lens is applied to the anterior + +181 +00:13:35,170 --> 00:13:38,090 +focus of this lens It is known that the anterior + +182 +00:13:38,090 --> 00:13:43,290 +focus of the minus lens comes to its rightThe + +183 +00:13:43,290 --> 00:13:47,270 +anterior F A on the right and this F B on the + +184 +00:13:47,270 --> 00:13:52,070 +right So this F B is 50 cm away from it and this F + +185 +00:13:52,070 --> 00:13:54,190 +A is 20 cm away from it So they are coming from + +186 +00:13:54,190 --> 00:13:57,630 +the same point This is F F A for the minus lens + +187 +00:13:57,630 --> 00:14:00,970 +and F B for the plus lens They have to come + +188 +00:14:00,970 --> 00:14:05,550 +together to have the afocal system This afocal + +189 +00:14:05,550 --> 00:14:10,810 +system that we presentedor what we drew is called + +190 +00:14:10,810 --> 00:14:15,970 +Galilean telescope Galilean + +191 +00:14:15,970 --> 00:14:21,270 +telescope which is named after the scientist + +192 +00:14:21,270 --> 00:14:25,490 +Galileo Galilei, but not the inventor Galileo + +193 +00:14:25,490 --> 00:14:29,730 +Galilei So, in the Galilean telescope, which is + +194 +00:14:29,730 --> 00:14:32,830 +one of the kinds of focal systems, in the Galilean + +195 +00:14:32,830 --> 00:14:37,210 +telescope, the length of the telescope is equal to + +196 +00:14:38,560 --> 00:14:41,900 +The difference between the focal length of the + +197 +00:14:41,900 --> 00:14:45,020 +plus lens and the focal length of the minus lens + +198 +00:14:45,020 --> 00:14:49,100 +Okay, let's say we want to hit a third example + +199 +00:14:49,100 --> 00:14:54,240 +Let's do reset And go back to the powerpoint and + +200 +00:14:54,240 --> 00:14:58,420 +add a strip And say as usual I have + +201 +00:15:07,320 --> 00:15:15,220 +this is the optical axis and here I have a plus + +202 +00:15:15,220 --> 00:15:19,520 +lens and + +203 +00:15:19,520 --> 00:15:26,820 +here I have a minus lens + +204 +00:15:26,820 --> 00:15:31,620 +okay, + +205 +00:15:32,320 --> 00:15:35,080 +the plus lens, we calculate its force + +206 +00:15:38,200 --> 00:15:45,280 +Plus 10, this is better And + +207 +00:15:45,280 --> 00:15:46,780 +minus 20, + +208 +00:15:52,000 --> 00:15:56,470 +this is betterHow long does the telescope have to + +209 +00:15:56,470 --> 00:15:59,810 +be? How long is the distance between them to + +210 +00:15:59,810 --> 00:16:03,950 +consider that this is a focal system or I built a + +211 +00:16:03,950 --> 00:16:06,690 +Galilean telescope Galilean telescope, which means + +212 +00:16:06,690 --> 00:16:11,840 +I have to bring a canand I fix the plus 10 diopter + +213 +00:16:11,840 --> 00:16:16,520 +on one side of the tube and I fix the minus 20 + +214 +00:16:16,520 --> 00:16:19,200 +diopter on the other side but I want to know how + +215 +00:16:19,200 --> 00:16:22,780 +long the tube has to be in order to say I made a + +216 +00:16:22,780 --> 00:16:25,860 +Galilean telescope I made a Galilean telescope we + +217 +00:16:25,860 --> 00:16:35,280 +say as follows the fp of this lens which is + +218 +00:16:35,280 --> 00:16:38,340 +unconditional over I or unconditional over the + +219 +00:16:38,340 --> 00:16:46,060 +power acidويساوي أنشرطة واحد في الهواء على P لإيه + +220 +00:16:46,060 --> 00:16:54,320 +plus عشرة ديوبتر ويساوي + +221 +00:16:54,320 --> 00:16:57,940 +plus + +222 +00:16:57,940 --> 00:17:02,720 +عشرة صنطة FA + +223 +00:17:02,720 --> 00:17:08,700 +تاعة العدسة ال minusFa to the minus of the lens is + +224 +00:17:08,700 --> 00:17:14,980 +equal to minus Unconditional + +225 +00:17:14,980 --> 00:17:18,660 +over I Because we want to depart from each other + +226 +00:17:18,660 --> 00:17:23,200 +First + +227 +00:17:23,200 --> 00:17:26,120 +let's say, but let's bring it as an absolute + +228 +00:17:26,120 --> 00:17:32,300 +distance Unconditional over I And it is equal to + +229 +00:17:38,480 --> 00:17:44,500 +واحد على minus + +230 +00:17:44,500 --> 00:17:52,880 +عشرين ده يقدر ويساوي minus خمسة من مية متر يعني + +231 +00:17:52,880 --> 00:18:01,470 +minus خمسة سانت، minus خمسة سانتSo, FP plus 10 cm + +232 +00:18:01,470 --> 00:18:05,910 +and FA minus 5 cm And if we want to avoid + +233 +00:18:05,910 --> 00:18:12,090 +confusion, these distances or these signals, we + +234 +00:18:12,090 --> 00:18:15,690 +delay them for a very simple reason that FA of + +235 +00:18:15,690 --> 00:18:18,230 +this lens is on the right, so if we put minus on + +236 +00:18:18,230 --> 00:18:21,090 +it, the situation will become confusing. But we + +237 +00:18:21,090 --> 00:18:23,150 +say in the Galilean telescope + +238 +00:18:28,160 --> 00:18:29,860 +In Galilean telescope, + +239 +00:18:39,260 --> 00:18:44,230 +we set distancesset the distances, the distance + +240 +00:18:44,230 --> 00:18:46,890 +from the lens to the place is less than the + +241 +00:18:46,890 --> 00:18:49,550 +distance from the lens to the place, so this is + +242 +00:18:49,550 --> 00:18:51,810 +like a rule that relaxes us so the distance from + +243 +00:18:51,810 --> 00:18:55,890 +here is 5 cm and the distance from here is 10 cm, + +244 +00:18:56,030 --> 00:18:58,130 +we set them apart, so the length of the telescope + +245 +00:18:58,130 --> 00:19:02,230 +must be + +246 +00:19:02,230 --> 00:19:07,650 +the + +247 +00:19:07,650 --> 00:19:09,190 +length of the telescope must be + +248 +00:19:13,420 --> 00:19:18,400 +ten minus five equals five centimeters let's see + +249 +00:19:18,400 --> 00:19:22,180 +this talk this distance must be five centimeters + +250 +00:19:22,180 --> 00:19:24,860 +let's see this talk in simulation let's say this + +251 +00:19:24,860 --> 00:19:39,000 +is the grid and here I have a lens plus ten and + +252 +00:19:39,000 --> 00:19:40,440 +I want a lens minus + +253 +00:19:48,930 --> 00:19:56,130 +Lens is minus 20mm The focal length will be minus + +254 +00:19:56,130 --> 00:20:00,670 +5cm + +255 +00:20:00,670 --> 00:20:04,550 +which is 50mm And I want the distance between them + +256 +00:20:04,550 --> 00:20:10,190 +to be 5cm + +257 +00:20:10,190 --> 00:20:15,970 +only This is 10cm and I want it to be 5cm + +258 +00:20:27,690 --> 00:20:42,270 +so that the measurement is even we are + +259 +00:20:42,270 --> 00:20:48,410 +still less than 5 cm this + +260 +00:20:48,410 --> 00:20:55,870 +is 5 cm now what is required is to take + +261 +00:20:55,870 --> 00:20:56,170 +a parallel beam + +262 +00:21:04,630 --> 00:21:14,890 +and reduce its density to know that the + +263 +00:21:14,890 --> 00:21:27,050 +rays will be exactly parallel to each other + +264 +00:21:27,050 --> 00:21:28,810 +exactly parallel to each other exactly parallel to + +265 +00:21:28,810 --> 00:21:30,570 +zero exactly parallel to + +266 +00:21:35,910 --> 00:21:37,510 +That's how we enlarged the picture a little, + +267 +00:21:37,890 --> 00:21:39,590 +exactly it came to zero and came to five + +268 +00:21:39,590 --> 00:21:42,510 +centimeters, the rays that came out are parallel + +269 +00:21:42,510 --> 00:21:46,070 +to each other, parallel to each other, so that's + +270 +00:21:46,070 --> 00:21:51,270 +how the Galilean telescope is five centimeters + +271 +00:21:51,270 --> 00:21:55,680 +long, five centimeters long, so this isThe + +272 +00:21:55,680 --> 00:21:58,280 +Galilean telescope, the Galilean telescope Is + +273 +00:21:58,280 --> 00:22:00,960 +there another type of telescope? Yes, there is + +274 +00:22:00,960 --> 00:22:04,460 +another type of telescope which is the Keplerian + +275 +00:22:04,460 --> 00:22:09,670 +telescope, the Keplerian telescopeThe lenses in it + +276 +00:22:09,670 --> 00:22:14,670 +are all plus. Before we start with the Keplerian + +277 +00:22:14,670 --> 00:22:16,890 +telescope, we want to say that the Galilean + +278 +00:22:16,890 --> 00:22:20,050 +telescope is composed of a plus lens, they call it + +279 +00:22:20,050 --> 00:22:22,670 +objective, which is directed towards the object + +280 +00:22:22,670 --> 00:22:25,670 +that the person is looking at, objective lens, + +281 +00:22:26,270 --> 00:22:27,210 +objective lens + +282 +00:22:36,120 --> 00:22:40,340 +وهنا بسموها eyepiece lens، يعني اللي بحط الإنسان + +283 +00:22:40,340 --> 00:22:43,740 +الفاحس عليها عين، eyepiece lens + +284 +00:22:47,700 --> 00:22:51,040 +So here if we look in the telescope, we put our + +285 +00:22:51,040 --> 00:22:54,460 +eye here and look in it, and this is the lens + +286 +00:22:54,460 --> 00:22:57,660 +directed to the object, directed to the object Of + +287 +00:22:57,660 --> 00:23:00,740 +course, always and forever, always and forever, + +288 +00:23:01,520 --> 00:23:05,620 +the objective lens is plus and its force is less + +289 +00:23:05,620 --> 00:23:08,920 +than the eyepiece lens which is minus, which is + +290 +00:23:08,920 --> 00:23:13,500 +minus So the objective lens is low power plus, low + +291 +00:23:13,500 --> 00:23:17,300 +power plus, and here it is high power minushigh + +292 +00:23:17,300 --> 00:23:20,340 +power minus in the Galilean telescope. Let's see + +293 +00:23:20,340 --> 00:23:21,760 +what's different between the Keplerian telescope + +294 +00:23:21,760 --> 00:23:25,760 +and the Galilean telescope. Let's see this case. + +295 +00:23:26,280 --> 00:23:31,560 +This is a grid. This means I have a plus lens. + +296 +00:23:40,240 --> 00:23:42,020 +Let's make a duplication. + +297 +00:23:58,900 --> 00:24:05,780 +this is the lens, we want to make it for example 5 + +298 +00:24:05,780 --> 00:24:10,560 +diopters, so it should be 250mm + +299 +00:24:10,560 --> 00:24:14,620 +and this is 10 diopters and this is 10 diopters, + +300 +00:24:15,060 --> 00:24:18,780 +we want to see what distances we want to make of + +301 +00:24:18,780 --> 00:24:21,780 +course the distance between the two lenses to get + +302 +00:24:21,780 --> 00:24:27,060 +a Keplerian telescope it should be the total focal + +303 +00:24:27,060 --> 00:24:34,580 +length of itFor plus 5, the focal length is 25 cm, + +304 +00:24:34,720 --> 00:24:38,600 +and for plus 10, the focal length is 10 cm, which + +305 +00:24:38,600 --> 00:24:43,480 +is 25 cm, plus 10 cm, which is 35 cm. We see that + +306 +00:24:43,480 --> 00:24:47,620 +we need to make the distance between them equal to + +307 +00:24:47,620 --> 00:24:49,080 +35 cm. + +308 +00:24:52,600 --> 00:24:56,060 +they give me a Keplerian telescope Keplerian + +309 +00:24:56,060 --> 00:25:00,760 +telescope, as we will see in a while The distance + +310 +00:25:00,760 --> 00:25:05,280 +is still not equal to thirty-five centimeters + +311 +00:25:05,280 --> 00:25:09,720 +Let's move this lens away from thirty-five + +312 +00:25:09,720 --> 00:25:10,380 +centimeters + +313 +00:25:17,120 --> 00:25:22,580 +now the distance between them is 35 cm, we need a + +314 +00:25:22,580 --> 00:25:26,160 +beam of light + +315 +00:25:26,160 --> 00:25:31,320 +to + +316 +00:25:31,320 --> 00:25:36,740 +reduce its density and enlarge the image a little + +317 +00:25:45,750 --> 00:25:49,770 +zoom in to see the rays + +318 +00:25:54,960 --> 00:25:59,960 +كيف طلعت عندي متوازية مع بعضها البعض متوازية مع + +319 +00:25:59,960 --> 00:26:04,200 +بعضها البعض إذا عندي دخلت متوازية وخرجت متوازية + +320 +00:26:04,200 --> 00:26:08,980 +المسافة في حالة ال Keplerian telescope في حالة ال + +321 +00:26:08,980 --> 00:26:12,320 +Keplerian telescope تساوي ال focal length بتاع + +322 +00:26:12,320 --> 00:26:15,420 +العدسة ال plus الأولى زائد ال focal length بتاع + +323 +00:26:15,420 --> 00:26:20,420 +العدسة ال plus التانية إذا FP بتاع العدسة الأولى + +324 +00:26:20,420 --> 00:26:25,190 +ينطبق على FA بتاع العدسات التانيةIn the case of + +325 +00:26:25,190 --> 00:26:28,450 +the Galilean telescope, it's the same thing Fb of + +326 +00:26:28,450 --> 00:26:34,600 +the first lens Fb of the first lens hereof the + +327 +00:26:34,600 --> 00:26:38,160 +plus lens is equivalent to the F of the minus lens + +328 +00:26:38,160 --> 00:26:41,600 +F of the minus lens on its right opposite of the + +329 +00:26:41,600 --> 00:26:45,200 +plus lens opposite of the plus lens So it is + +330 +00:26:45,200 --> 00:26:48,460 +necessary that the posterior focus of the first + +331 +00:26:48,460 --> 00:26:50,940 +lens is equivalent to the anterior focus of the + +332 +00:26:50,940 --> 00:26:55,420 +second lens This is called Galilean telescope and + +333 +00:26:55,420 --> 00:26:59,100 +this is called Keplerian telescope The differences + +334 +00:26:59,100 --> 00:27:04,190 +between them is that the Galilean telescopeThe + +335 +00:27:04,190 --> 00:27:10,510 +Galilean telescope has a plus lens and a minus + +336 +00:27:10,510 --> 00:27:13,790 +lens. The Keplerian telescope has two plus lenses. + +337 +00:27:14,780 --> 00:27:19,080 +Okay, the objective always in both is plus and low + +338 +00:27:19,080 --> 00:27:23,760 +power The objective always, the objective lens in + +339 +00:27:23,760 --> 00:27:27,820 +both, in both is considered plus and low power The + +340 +00:27:27,820 --> 00:27:32,000 +IBS lens in the Galilean telescope is minus and + +341 +00:27:32,000 --> 00:27:36,700 +high power In the Keplerian telescope is plus and + +342 +00:27:36,700 --> 00:27:41,580 +high power, plus and high power So these are the + +343 +00:27:41,580 --> 00:27:46,110 +differences between themin length, the Galilean is + +344 +00:27:46,110 --> 00:27:49,130 +shorter and the Keplerian is longer the Galilean + +345 +00:27:49,130 --> 00:27:51,850 +is shorter and the Keplerian is longer here its + +346 +00:27:51,850 --> 00:27:55,470 +length is 35 cm which is the Keplerian telescope + +347 +00:27:55,470 --> 00:27:59,510 +if we imagine this I piece which is 10 diopters we + +348 +00:27:59,510 --> 00:28:03,170 +have to make it minus 10 diopters minus 10 + +349 +00:28:03,170 --> 00:28:07,270 +dioptersExcuse me, minus one hundred millimeters, + +350 +00:28:07,530 --> 00:28:11,130 +which is minus ten centimeters, so I have minus + +351 +00:28:11,130 --> 00:28:13,650 +ten degrees. The length of the Keplerian was + +352 +00:28:13,650 --> 00:28:16,190 +thirty-five centimeters. The Galilean, which has + +353 +00:28:16,190 --> 00:28:19,890 +the same force, but its lens is Ibs minus, will + +354 +00:28:19,890 --> 00:28:30,570 +have25 minus 10 will be 15 cm and therefore the + +355 +00:28:30,570 --> 00:28:35,870 +rays will be parallel. So if we bring a Galilean + +356 +00:28:35,870 --> 00:28:38,410 +telescope and a Keplerian telescope with the same + +357 +00:28:38,410 --> 00:28:40,450 +force, of course, the difference is that in the + +358 +00:28:40,450 --> 00:28:43,690 +Galilean the I is minus and the Galilean is much + +359 +00:28:43,690 --> 00:28:47,200 +smaller.from the Keplerian telescope, from the + +360 +00:28:47,200 --> 00:28:51,740 +Keplerian telescope, so this case should be clear + +361 +00:28:51,740 --> 00:28:54,140 +to me, should be clear to me Now there are + +362 +00:28:54,140 --> 00:28:57,100 +differences or there are things that distinguish + +363 +00:28:57,100 --> 00:29:01,660 +these focal systems Of course, the Keplerian + +364 +00:29:01,660 --> 00:29:05,180 +telescope was invented by Johannes Kepler, + +365 +00:29:05,380 --> 00:29:08,740 +Johannes Kepler Okay, then consider an optical + +366 +00:29:08,740 --> 00:29:12,980 +system consisting of two thin lenses in air, as + +367 +00:29:12,980 --> 00:29:17,870 +the drawing showsThe lens powers are plus 2 + +368 +00:29:17,870 --> 00:29:23,910 +diopter and minus 5 diopter respectively. Where is + +369 +00:29:23,910 --> 00:29:28,270 +FB for this system? مش للنس واحدة منه ولكن for + +370 +00:29:28,270 --> 00:29:33,070 +this system the posterior focal point هي المكان + +371 +00:29:33,070 --> 00:29:37,640 +اللي ال incoming parallel rays focusHowever, as + +372 +00:29:37,640 --> 00:29:40,840 +ray tracing demonstrates, rays entering the system + +373 +00:29:40,840 --> 00:29:44,320 +parallel to the optical axis emerge parallel to + +374 +00:29:44,320 --> 00:29:57,160 +the optical axis This system + +375 +00:29:57,160 --> 00:30:01,360 +has no focal points. In other words, it is a focal + +376 +00:30:01,360 --> 00:30:06,500 +systemIf an object is placed two meters in front + +377 +00:30:06,500 --> 00:30:09,560 +of the first lens, where is the image and what is + +378 +00:30:09,560 --> 00:30:13,620 +the transfer's magnification? طبعا لو حسبنا ال + +379 +00:30:13,620 --> 00:30:17,280 +transfer's magnification بال Virgin's calculation + +380 +00:30:17,280 --> 00:30:21,320 +لو قولنا هذا ال system هذا ال system a focal + +381 +00:30:21,320 --> 00:30:25,120 +system وعندي + +382 +00:30:25,120 --> 00:30:30,740 +object object على بعد meter + +383 +00:30:34,060 --> 00:30:43,500 +On a distance of one meter And I + +384 +00:30:43,500 --> 00:30:47,900 +want to calculate the total transfer magnification + +385 +00:30:47,900 --> 00:30:52,120 +of the last image of the object I want to use the + +386 +00:30:52,120 --> 00:30:55,180 +vergence calculationOkay, the divergence + +387 +00:30:55,180 --> 00:30:58,520 +calculation will take a long time and each one of + +388 +00:30:58,520 --> 00:31:01,540 +us who learned a lot or took many lessons on this + +389 +00:31:01,540 --> 00:31:05,160 +topic can do this problem at home The result will + +390 +00:31:05,160 --> 00:31:08,480 +be that the total transference magnification is 4 + +391 +00:31:08,480 --> 00:31:14,340 +out of 10 in case the body is 2 meters or 1 meter + +392 +00:31:14,340 --> 00:31:17,180 +and if we put it on 2 meters it will be 4 out of + +393 +00:31:17,180 --> 00:31:20,340 +10 and if we put it on 3 meters it will be 4 out + +394 +00:31:20,340 --> 00:31:23,300 +of 10 then the magnification of these systems + +395 +00:31:24,070 --> 00:31:26,970 +Fixed, fixed, if I have a certain amount of + +396 +00:31:26,970 --> 00:31:30,490 +magnification, I will keep it fixed regardless of + +397 +00:31:30,490 --> 00:31:33,530 +the location of the object what changed So it's + +398 +00:31:33,530 --> 00:31:36,910 +different from the normal optical systems that + +399 +00:31:36,910 --> 00:31:39,270 +first thing it doesn't have cardinal points and + +400 +00:31:39,270 --> 00:31:42,210 +second thing it doesn't have focal points It + +401 +00:31:42,210 --> 00:31:44,350 +doesn't have cardinal points at all, so therefore + +402 +00:31:44,350 --> 00:31:47,330 +no focal points, no nodal points, no principal + +403 +00:31:47,330 --> 00:31:51,440 +pointsOkay, we say as usual, this system that we + +404 +00:31:51,440 --> 00:31:55,380 +proposed and that we said the first lens is plus 5 + +405 +00:31:55,380 --> 00:31:58,200 +diopter or plus 2 diopter and the second lens is + +406 +00:31:58,200 --> 00:32:01,080 +minus 5 diopter and we named it Galilean telescope + +407 +00:32:01,080 --> 00:32:03,660 +and the distance between the two lenses is 30 + +408 +00:32:03,660 --> 00:32:08,540 +centimeters, it will give me a magnification of 4 + +409 +00:32:08,540 --> 00:32:14,840 +out of 10Four out of ten. Very good. So wherever + +410 +00:32:14,840 --> 00:32:17,600 +the object stands, whether it's one meter, two + +411 +00:32:17,600 --> 00:32:21,520 +meters, three meters, ten meters, twenty meters, + +412 +00:32:21,960 --> 00:32:24,340 +regardless of the distance of the object, the + +413 +00:32:24,340 --> 00:32:27,020 +magnification will remain four out of tenطيب احنا + +414 +00:32:27,020 --> 00:32:30,540 +اذا فاكرين حكينا ما حكينا عن ال principal points و + +415 +00:32:30,540 --> 00:32:33,520 +ال principal planes، قولنا هدولة ال planes اللي + +416 +00:32:33,520 --> 00:32:37,440 +بيكون التكبير عندهم واحد صحيح، بمعنى ان الجسم + +417 +00:32:37,440 --> 00:32:42,100 +واجف، الجسم واجف و ارتفاع .. او الصورة واجف و + +418 +00:32:42,100 --> 00:32:45,080 +ارتفاعها جد ارتفاع ال object، اذا في هذا ال system + +419 +00:32:45,080 --> 00:32:50,600 +مستحيل احصل على magnification مقدار oneOkay, if I + +420 +00:32:50,600 --> 00:32:53,200 +brought another system, another focal system, and + +421 +00:32:53,200 --> 00:32:55,680 +my magnification was one, it will remain one + +422 +00:32:55,680 --> 00:32:59,100 +forever One meter away, two meters away, three + +423 +00:32:59,100 --> 00:33:01,560 +meters away, twenty meters away, a kilo away + +424 +00:33:01,560 --> 00:33:06,360 +Therefore, therefore, there is no two planes that + +425 +00:33:06,360 --> 00:33:09,040 +I call these principal planes Because all planes + +426 +00:33:09,040 --> 00:33:12,860 +give me one magnification In fact, and in short + +427 +00:33:12,860 --> 00:33:17,720 +for all this explanation, we sayA focal system is + +428 +00:33:17,720 --> 00:33:25,200 +a system that does not have cardinal points + +429 +00:33:25,200 --> 00:33:29,920 +In a focal system, the transphase magnification is + +430 +00:33:29,920 --> 00:33:33,460 +the same for every object regardless of location + +431 +00:33:33,460 --> 00:33:37,020 +In a focal system, the magnification remains + +432 +00:33:37,020 --> 00:33:40,240 +constant regardless of the location of the object + +433 +00:33:40,240 --> 00:33:43,640 +Where are the principal planes for this system? + +434 +00:33:44,260 --> 00:33:48,480 +Actually it has no principal planes, why? Remember + +435 +00:33:48,480 --> 00:33:51,060 +that the principal planes are the unique + +436 +00:33:51,060 --> 00:33:53,800 +conjugates with the transference magnification of + +437 +00:33:53,800 --> 00:33:56,860 +1. In this system, the transference magnification + +438 +00:33:56,860 --> 00:34:01,370 +is always 4 out of 10 and never 1.if the + +439 +00:34:01,370 --> 00:34:04,650 +transference magnification was equal to one it + +440 +00:34:04,650 --> 00:34:07,810 +would be one for every pair of conjugates + +441 +00:34:22,590 --> 00:34:25,270 +So I don't have focal points and I don't have + +442 +00:34:25,270 --> 00:34:28,690 +principal planes or points Consequently, there + +443 +00:34:28,690 --> 00:34:31,610 +would be no unique set of planes that could be + +444 +00:34:31,610 --> 00:34:34,930 +designated principal planes Who can I call a + +445 +00:34:34,930 --> 00:34:38,120 +principal plane if I have only one magnitude?هل + +446 +00:34:38,120 --> 00:34:41,840 +على بعض نص متر، عبعد متر، عبعد عشرين سانتي، عبعد + +447 +00:34:41,840 --> 00:34:44,620 +خمسة سانتي، عبعد واحد ملي، كله بيعطيني + +448 +00:34:44,620 --> 00:34:48,780 +magnification one، اذا مافيش عندي principal planes + +449 +00:34:48,780 --> 00:34:53,840 +In general، و هذه الكلمة بتلخص كل شيء عن ال .. ال + +450 +00:34:53,840 --> 00:34:57,660 +focal .. ال .. a focal systems A focal systems do + +451 +00:34:57,660 --> 00:35:01,880 +not have cardinal points Do not have cardinal + +452 +00:35:01,880 --> 00:35:06,980 +pointsA focal systems are used clinically as + +453 +00:35:06,980 --> 00:35:16,540 +telescopes and low or low vision aids The + +454 +00:35:16,540 --> 00:35:29,620 +two + +455 +00:35:29,620 --> 00:35:32,840 +basic types of telescopes are Galilean telescope + +456 +00:35:33,690 --> 00:35:37,930 +named for, but not invented by Galileo, of course, + +457 +00:35:38,170 --> 00:35:40,810 +it is called with respect and appreciation to the + +458 +00:35:40,810 --> 00:35:44,390 +scientist Galileo Galilei, of course, it is not + +459 +00:35:44,390 --> 00:35:47,170 +him who invented it and the Keplerian telescope, + +460 +00:35:47,690 --> 00:35:52,250 +which is an astronomical telescope, which is used + +461 +00:35:52,250 --> 00:35:57,390 +in space mostly, was invented by Johannes Kepler, + +462 +00:35:57,890 --> 00:36:01,380 +so this case is very important to be clearThe + +463 +00:36:01,380 --> 00:36:04,680 +Galilean telescope consists of two lenses. The + +464 +00:36:04,680 --> 00:36:07,380 +first lens, which is the objective lens, is always + +465 +00:36:07,380 --> 00:36:13,340 +positive and usually has low power, whereas the + +466 +00:36:13,340 --> 00:36:16,580 +second lens, the eyepiece or ocular, is always + +467 +00:36:16,580 --> 00:36:21,630 +negative and usually has high power.The lenses are + +468 +00:36:21,630 --> 00:36:24,690 +separated by the difference in their focal lengths + +469 +00:36:24,690 --> 00:36:27,690 +.الان في ال Galilean telescope المسافة بين + +470 +00:36:27,690 --> 00:36:31,750 +العدستين هي حاصل الفرق الفرق بين ال two focal + +471 +00:36:31,750 --> 00:36:34,910 +lengths ده العدسة ال plus و العدسة ال minus The + +472 +00:36:34,910 --> 00:36:37,910 +focal system depicted in the previous figure is + +473 +00:36:37,910 --> 00:36:40,790 +Galilean telescope اللي هو عرضناه كمثال في الأول + +474 +00:36:40,790 --> 00:36:46,270 +هذا Galilean telescope هذا Galilean telescope أيضا + +475 +00:36:46,270 --> 00:36:49,150 +المثال التاني اللي رسمناه مع بعض هو Galilean + +476 +00:36:49,150 --> 00:36:49,770 +telescope + +477 +00:36:53,210 --> 00:36:56,610 +The Galilean telescope is also used in some slit + +478 +00:36:56,610 --> 00:36:57,930 +lamp biomicroscope + +479 +00:37:10,350 --> 00:37:13,450 +this is a Galilean telescope this is a Galilean + +480 +00:37:13,450 --> 00:37:17,490 +telescope the Keplerian telescope also consists of + +481 +00:37:17,490 --> 00:37:22,250 +two lenses a low power objective lens and high + +482 +00:37:22,250 --> 00:37:26,050 +power ocular lens or eyepiece lens but both are + +483 +00:37:26,050 --> 00:37:28,890 +positive and this is different from the Galilean + +484 +00:37:28,890 --> 00:37:32,130 +telescope and separated by the sum of their focal + +485 +00:37:32,130 --> 00:37:34,490 +length the distance between the two lenses in the + +486 +00:37:34,490 --> 00:37:38,950 +Keplerian telescope is the sum ofthe focal length + +487 +00:37:38,950 --> 00:37:42,750 +of the first lens which is the objective lens with + +488 +00:37:42,750 --> 00:37:48,890 +the focal length of the eyepiece lens which is the + +489 +00:37:48,890 --> 00:37:53,070 +total focal length of both lenses. Of course, here + +490 +00:37:53,070 --> 00:37:55,790 +the image in the Galilean telescope is erect + +491 +00:37:55,790 --> 00:38:00,390 +magnified, a normal image, while in the Keplerian + +492 +00:38:00,390 --> 00:38:03,970 +telescope the image is inverted. The image is + +493 +00:38:03,970 --> 00:38:07,410 +inverted, as the picture shows, it is 2 plus. + +494 +00:38:07,960 --> 00:38:11,200 +lenses, objective lens, this one is directed + +495 +00:38:11,200 --> 00:38:16,240 +towards + +496 +00:38:16,240 --> 00:38:19,680 +the stars and planets and towards space, and this + +497 +00:38:19,680 --> 00:38:23,440 +astronomical eyepiece lens which a person puts his + +498 +00:38:23,440 --> 00:38:25,780 +eye and watches from it, so when it is directed + +499 +00:38:25,780 --> 00:38:28,460 +towards the moon or the planet or a star or + +500 +00:38:28,460 --> 00:38:32,480 +something similar, parallel rays come and make a + +501 +00:38:32,480 --> 00:38:37,830 +picturereversed to this planet or star or space + +502 +00:38:37,830 --> 00:38:41,450 +object, and we look at this reversed image that + +503 +00:38:41,450 --> 00:38:43,990 +forms another image on the eye network that we + +504 +00:38:43,990 --> 00:38:47,610 +perceive, so the image is inverted in the + +505 +00:38:47,610 --> 00:38:50,710 +astronomical or Keplerian telescope, in the + +506 +00:38:50,710 --> 00:38:57,420 +Keplerian telescopeTo compare, in the beginning of + +507 +00:38:57,420 --> 00:39:00,720 +the lecture, we used plus 2 diopter with minus 5 + +508 +00:39:00,720 --> 00:39:05,300 +diopter Now, we use Keplerian telescope, as in + +509 +00:39:05,300 --> 00:39:08,720 +Galilean Keplerian telescope, we use plus 2 + +510 +00:39:08,720 --> 00:39:13,280 +diopter and plus 5 diopter trial lens from the + +511 +00:39:13,280 --> 00:39:16,380 +trial set, from the lens bag And we distance them, + +512 +00:39:16,460 --> 00:39:19,500 +this focal length is 20 cm and this focal length + +513 +00:39:19,500 --> 00:39:24,970 +is50 cm, so to make a Keplerian telescope 20 cm + +514 +00:39:24,970 --> 00:39:29,170 +and 50 cm, the distance should be 70 cm between + +515 +00:39:29,170 --> 00:39:32,930 +the two lenses. We will see this in the + +516 +00:39:32,930 --> 00:39:34,830 +simulation, we will see how it will turn out with + +517 +00:39:34,830 --> 00:39:38,330 +us. This is reset, this is grid. We have a lens + +518 +00:39:38,330 --> 00:39:46,910 +plus two diopters. This is not a lens. This is a + +519 +00:39:46,910 --> 00:39:48,510 +lens plus two diopters. + +520 +00:39:57,750 --> 00:40:01,650 +We are going + +521 +00:40:01,650 --> 00:40:04,530 +to adjust their strength, but first this lens has + +522 +00:40:04,530 --> 00:40:09,030 +to be 2 diopters, which means 50 cm or 500 mm, and + +523 +00:40:09,030 --> 00:40:11,210 +this will be + +524 +00:40:14,690 --> 00:40:16,550 +Twenty centimeters means two hundred millimeters, + +525 +00:40:16,730 --> 00:40:18,730 +which means five diopters. So this is two diopters + +526 +00:40:18,730 --> 00:40:21,590 +and this is five diopters. The distance between + +527 +00:40:21,590 --> 00:40:23,610 +them is supposed to be seventy centimeters because + +528 +00:40:23,610 --> 00:40:26,490 +the focal length is two hundred millimeters and + +529 +00:40:26,490 --> 00:40:28,750 +five hundred millimeters, which means seven + +530 +00:40:28,750 --> 00:40:30,010 +hundred millimeters, which means seventy + +531 +00:40:30,010 --> 00:40:31,910 +centimeters. There must be a difference between + +532 +00:40:31,910 --> 00:40:36,150 +them to get a Keplerian telescope. To get a + +533 +00:40:36,150 --> 00:40:37,390 +Keplerian telescope. + +534 +00:40:40,190 --> 00:40:44,990 +Let's see the ruler.it will help me in this case + +535 +00:40:44,990 --> 00:41:00,090 +so we tried from 700ml we move it like this and + +536 +00:41:00,090 --> 00:41:04,530 +we bring the goal to zero and we bring here to + +537 +00:41:04,530 --> 00:41:05,710 +700ml + +538 +00:41:11,030 --> 00:41:14,590 +70 cm which is the total focal length of the first + +539 +00:41:14,590 --> 00:41:17,130 +lens, the objective and eyepiece of course our eye + +540 +00:41:17,130 --> 00:41:21,650 +should be here and the planet should be in this + +541 +00:41:21,650 --> 00:41:24,630 +direction here this lens is directed towards the + +542 +00:41:24,630 --> 00:41:28,290 +planet let's see the beam of ray coming from a + +543 +00:41:28,290 --> 00:41:37,970 +distant planet how does it work let's + +544 +00:41:37,970 --> 00:41:42,640 +reduce the intensity of the raysإذن الأشعة خرجت + +545 +00:41:42,640 --> 00:41:47,380 +parallel، دخلت parallel وخرجت parallel وبالتالي + +546 +00:41:47,380 --> 00:41:51,860 +هذا + +547 +00:41:51,860 --> 00:41:54,880 +a focal system، هذا Keplerian telescope، هذا + +548 +00:41:54,880 --> 00:41:59,980 +Keplerian telescope، بنقدر نعملor we build a + +549 +00:41:59,980 --> 00:42:03,460 +Keplerian telescope using plus two diopters and + +550 +00:42:03,460 --> 00:42:06,980 +plus + +551 +00:42:06,980 --> 00:42:09,460 +five diopters and leave a distance between them of + +552 +00:42:09,460 --> 00:42:12,480 +seventy centimeters now to calculate the + +553 +00:42:12,480 --> 00:42:15,480 +transference magnification we said that the + +554 +00:42:15,480 --> 00:42:17,800 +transference magnification is constant the + +555 +00:42:17,800 --> 00:42:20,020 +transference magnification is constant as long as + +556 +00:42:20,020 --> 00:42:22,020 +the transference magnification is constant there + +557 +00:42:22,020 --> 00:42:27,640 +is no need for me to keep takingI say U and V and + +558 +00:42:27,640 --> 00:42:32,620 +then I divide TM1 by U by V and then I get TM2 by + +559 +00:42:32,620 --> 00:42:35,940 +U by V and I multiply TM1 by TM2 Scientists found + +560 +00:42:35,940 --> 00:42:39,780 +a very simple equation for transference + +561 +00:42:39,780 --> 00:42:49,080 +magnification for telescopes Transference + +562 +00:42:49,080 --> 00:42:53,140 +magnification is the power of the eyepiece over + +563 +00:42:53,140 --> 00:42:58,320 +the power of the objectويسوء الـ focal length بتاع + +564 +00:42:58,320 --> 00:43:02,100 +الـ eyepiece على ال focal length بتاع الobjective + +565 +00:43:02,100 --> 00:43:06,880 +بتاع الobjective إذا ل transfers magnification ال + +566 +00:43:06,880 --> 00:43:09,580 +power بتاعة ال eyepiece على ال power بتاعة ال + +567 +00:43:09,580 --> 00:43:10,060 +objective + +568 +00:43:13,100 --> 00:43:16,280 +No, sorry, this is the angular magnification, this + +569 +00:43:16,280 --> 00:43:18,720 +is the angular magnification The angular + +570 +00:43:18,720 --> 00:43:23,220 +magnification is not the axis that transfers + +571 +00:43:23,220 --> 00:43:25,480 +magnification, we need to correct it here The + +572 +00:43:25,480 --> 00:43:29,800 +angular magnification equals the power of the + +573 +00:43:29,800 --> 00:43:33,840 +eyepiece over the power of the objective Or equals + +574 +00:43:33,840 --> 00:43:36,980 +the focal lengththe power of the objective over + +575 +00:43:36,980 --> 00:43:39,920 +the focal length of the eyepiece this is angular + +576 +00:43:39,920 --> 00:43:45,260 +magnification now for transverse magnification for + +577 +00:43:45,260 --> 00:43:47,780 +transverse magnification it is equal to the + +578 +00:43:47,780 --> 00:43:54,080 +opposite the power of the objective over + +579 +00:43:54,080 --> 00:44:00,740 +the power of the eyepiece and + +580 +00:44:00,740 --> 00:44:08,890 +it is equal toThe focal length of the eyepiece on + +581 +00:44:08,890 --> 00:44:16,650 +the focal length of the object It + +582 +00:44:16,650 --> 00:44:19,230 +is very important to make sure of the type of + +583 +00:44:19,230 --> 00:44:23,370 +magnification So the magnification here for + +584 +00:44:23,370 --> 00:44:26,630 +transfers magnification I will give it a different + +585 +00:44:34,280 --> 00:44:37,320 +Version's calculation without any calculations + +586 +00:45:08,490 --> 00:45:11,630 +so the angular magnification is the power of the + +587 +00:45:11,630 --> 00:45:15,210 +eyepiece over the power of the objective or the + +588 +00:45:15,210 --> 00:45:17,390 +focal length of the objective over the focal + +589 +00:45:17,390 --> 00:45:19,910 +length of the eyepiece for the transverse + +590 +00:45:19,910 --> 00:45:22,410 +magnification it is exactly the opposite, the + +591 +00:45:22,410 --> 00:45:23,930 +position becomes the lowest and the lowest becomes + +592 +00:45:23,930 --> 00:45:25,730 +the highest, that is, the power of the objective + +593 +00:45:25,730 --> 00:45:28,850 +over the power of the eyepiece or the focal length + +594 +00:45:28,850 --> 00:45:30,890 +of the eyepiece over the focal length of the + +595 +00:45:30,890 --> 00:45:33,930 +objective the opposite of magnification is the + +596 +00:45:33,930 --> 00:45:35,370 +transverse magnification + +597 +00:45:38,400 --> 00:45:53,380 +and this is known to us since a long time ago now + +598 +00:45:53,380 --> 00:45:58,740 +there is a third thing + +599 +00:45:58,740 --> 00:46:05,220 +that transfers magnification is equal to one over + +600 +00:46:05,220 --> 00:46:06,940 +the angular magnification + +601 +00:46:14,190 --> 00:46:14,970 +Also, + +602 +00:46:18,790 --> 00:46:25,890 +the angular magnification is + +603 +00:46:25,890 --> 00:46:31,410 +equal to 1 over the transverse magnification Both + +604 +00:46:31,410 --> 00:46:34,590 +are confused with each other, but we will give + +605 +00:46:34,590 --> 00:46:41,600 +them a loan to clarify the picturetransfers + +606 +00:46:41,600 --> 00:46:45,720 +magnification I can get it by powers and I can get + +607 +00:46:45,720 --> 00:46:49,320 +it by focal length or I can get it if I know + +608 +00:46:49,320 --> 00:46:51,940 +angular magnification I can say transfers + +609 +00:46:51,940 --> 00:46:54,040 +magnification is converted to angular + +610 +00:46:54,040 --> 00:46:58,060 +magnification so these are many equations in + +611 +00:46:58,060 --> 00:47:02,440 +magnification I can use any one of them and + +612 +00:47:02,440 --> 00:47:07,180 +inshallah in this lecture we will take examples on + +613 +00:47:07,690 --> 00:47:11,350 +the method of calculation or practical examples of + +614 +00:47:11,350 --> 00:47:15,990 +calculation of magnification of these telescopes, + +615 +00:47:16,250 --> 00:47:18,690 +whether the Galilean telescope or the Keplerian + +616 +00:47:18,690 --> 00:47:21,790 +telescope. The last thing I want to say is that + +617 +00:47:21,790 --> 00:47:29,710 +our picture is reversed in .. + +618 +00:47:29,710 --> 00:47:34,290 +our picture is reversed in the telescope which is + +619 +00:47:34,290 --> 00:47:35,750 +the Keplerian telescope + +620 +00:47:38,560 --> 00:47:42,460 +وهدا مش مشكلة كبيرة، بتم وضع برزمات داخل ال + +621 +00:47:42,460 --> 00:47:48,300 +telescope اللي تعدل الصورة و بتعمل على يعني انها + +622 +00:47:48,300 --> 00:47:52,420 +تخلي الصورة معتدلة و ليست inverted، و ليست + +623 +00:47:52,420 --> 00:47:56,000 +inverted، فبالتالي هذا القضية For a focal system, + +624 +00:47:56,320 --> 00:47:59,340 +telescopes such as the Galilean and Keplerian + +625 +00:47:59,340 --> 00:48:02,790 +telescope, the focal point of objective lensand + +626 +00:48:02,790 --> 00:48:06,070 +the focal point of the ocular lens are in the same + +627 +00:48:06,070 --> 00:48:06,510 +position + +628 +00:48:25,860 --> 00:48:28,700 +Each form of telescope has advantages and + +629 +00:48:28,700 --> 00:48:35,980 +disadvantages The + +630 +00:48:35,980 --> 00:48:38,540 +advantage of Galilean telescope is that it + +631 +00:48:38,540 --> 00:48:40,360 +produces an upright image + +632 +00:48:45,870 --> 00:48:49,270 +يعني الصورة معتادة تاني حاجة ال telescope short + +633 +00:48:49,270 --> 00:48:53,570 +يعني قصير و هذا يعني بيخليه ممكن يوضع في الجيبة + +634 +00:48:53,570 --> 00:48:56,970 +ممكن يوضع في شانطة صغيرة إلى آخرين then telescope + +635 +00:48:56,970 --> 00:49:01,170 +these features make Galilean telescope popular as + +636 +00:49:01,170 --> 00:49:04,410 +spectacle mounted ممكن يتثبت على النضارة ممكن + +637 +00:49:04,410 --> 00:49:11,770 +يتثبت على النضارة لو شفنا هنا spectacle + +638 +00:49:17,620 --> 00:49:21,100 +Mounted Galilean Telescope + +639 +00:49:30,320 --> 00:49:32,860 +This is a Galilean telescope fixed on glasses + +640 +00:49:32,860 --> 00:49:39,040 +until people or people who suffer from low vision + +641 +00:49:39,040 --> 00:49:41,900 +for example, or they want to fix it for the + +642 +00:49:41,900 --> 00:49:44,280 +purpose of work for example, some people who work + +643 +00:49:44,280 --> 00:49:49,300 +in correction or fixing watches or work in gold + +644 +00:49:49,300 --> 00:49:54,040 +and welding gold and jewels and so onطبعا لأنه + +645 +00:49:54,040 --> 00:49:57,120 +قصير بقدرش أثبت capillary telescope لإنه هيكون + +646 +00:49:57,120 --> 00:50:04,360 +طويل جدا اذا هذا يعتبر advantage وشيء مميز لاللي + +647 +00:50:04,360 --> 00:50:10,600 +هو ال Galilean telescope أيضا أيضا يعني يعتبر يعني + +648 +00:50:10,600 --> 00:50:14,280 +هذا .. هذه الميزة بتخليه يعني spectacle mounted + +649 +00:50:14,280 --> 00:50:18,760 +visual aid أو surgical loops surgical loops استخدم + +650 +00:50:18,760 --> 00:50:19,700 +في العمليات + +651 +00:50:34,650 --> 00:50:37,810 +Hai surgical loops أيضا بلبسها الجراع عشان يكبر + +652 +00:50:37,810 --> 00:50:44,630 +المنطقة اللي هو بيعمل فيها و هاد طبعا مهم جدا و + +653 +00:50:44,630 --> 00:50:48,230 +بتميز ال Galilean telescope لإنه قصير، اذا upright + +654 +00:50:48,230 --> 00:50:51,470 +image و shorter Conversely, the Keplerian + +655 +00:50:51,470 --> 00:50:55,010 +telescope uses light more efficiently making faint + +656 +00:50:55,010 --> 00:50:58,590 +objects easier to see احنا إذا رجعنا للصورة بتاعة + +657 +00:50:58,590 --> 00:51:01,980 +ال Keplerian telescopeThis is a plus lens, which + +658 +00:51:01,980 --> 00:51:04,360 +is a converging lens, and this is also a + +659 +00:51:04,360 --> 00:51:08,720 +converging lens. Therefore, all the rays that come + +660 +00:51:08,720 --> 00:51:11,640 +from the distant planet, which are usually very + +661 +00:51:11,640 --> 00:51:14,700 +light rays, that is, there are planets hundreds + +662 +00:51:14,700 --> 00:51:18,750 +and millions of light years away from us,An + +663 +00:51:18,750 --> 00:51:21,510 +astronomical number in the distance, so the light + +664 +00:51:21,510 --> 00:51:25,110 +coming from it is very light, so the telescope + +665 +00:51:25,110 --> 00:51:27,310 +that I look at has all its lenses connected, + +666 +00:51:27,490 --> 00:51:30,050 +because they collect rays, and therefore all the + +667 +00:51:30,050 --> 00:51:32,830 +rays that are collected line up inside the eye of + +668 +00:51:32,830 --> 00:51:34,670 +the observer, inside the eye of the observer, + +669 +00:51:35,050 --> 00:51:40,390 +while in the Galilean telescopeفي عدسة مشتتة عندى + +670 +00:51:40,390 --> 00:51:44,630 +في عدسة مشتتة فبالتالي ممكن افقد جزء من هذا الضوء + +671 +00:51:44,630 --> 00:51:47,870 +جزء من هذا الضوء اذا conversely the Keplerian + +672 +00:51:47,870 --> 00:51:52,390 +telescope uses light more efficiently يعني بيستخدم + +673 +00:51:52,390 --> 00:51:56,550 +الضوء او الضوء اللى داخل فيه بيستفيد منه بشكل اكثر + +674 +00:51:56,550 --> 00:52:00,730 +كفاءة لإنه عدساته كلها plus عدساته كلها plus + +675 +00:52:00,730 --> 00:52:04,210 +فبالتالي هذه القضية هذا in the Keplerian design + +676 +00:52:04,210 --> 00:52:11,920 +all the light all the lightall the light from an + +677 +00:52:11,920 --> 00:52:14,880 +object point collected by the objective lens + +678 +00:52:14,880 --> 00:52:18,400 +ultimately in the end enters the eye because all + +679 +00:52:18,400 --> 00:52:21,880 +the lenses are lost in the Galilean design some of + +680 +00:52:21,880 --> 00:52:25,960 +the light collected by objective is lost why is it + +681 +00:52:25,960 --> 00:52:30,200 +lost? because the other lensesالعدسة الأولى جمعت + +682 +00:52:30,200 --> 00:52:33,980 +في ال Galilean telescope، العدسة الأولى جمعت + +683 +00:52:33,980 --> 00:52:36,800 +والتانية شتتت، فبالتالي مش كل الضوء بيدخل في + +684 +00:52:36,800 --> 00:52:41,040 +العين، بعضه بيتشتت، مش مرسوم هنا عندى، بس بعضه + +685 +00:52:41,040 --> 00:52:41,960 +بيتشتت + +686 +00:52:44,670 --> 00:52:49,770 +All the light from an object point collected by + +687 +00:52:49,770 --> 00:52:53,230 +the objective lens ultimately enters the eye. In + +688 +00:52:53,230 --> 00:52:56,770 +the Galilean design, some of the light collected + +689 +00:52:56,770 --> 00:53:02,850 +by the objective lens is lost.Because astronomical + +690 +00:53:02,850 --> 00:53:06,390 +observation is largely a matter of making faint + +691 +00:53:06,390 --> 00:53:10,910 +star visible, the observations of space science + +692 +00:53:10,910 --> 00:53:15,450 +and astronomy + +693 +00:53:29,480 --> 00:53:34,340 +All astronomical telescopes are of the Keplerian + +694 +00:53:34,340 --> 00:53:37,450 +designWhy? Because the Keplerian design is two + +695 +00:53:37,450 --> 00:53:40,810 +plus lenses, there are no overlapping lenses. The + +696 +00:53:40,810 --> 00:53:44,910 +inverted image, which is the flaw of the Keplerian + +697 +00:53:44,910 --> 00:53:48,370 +telescope. The inverted image is not a problem. It + +698 +00:53:48,370 --> 00:53:52,970 +is not a problem for astronomers, but inverting + +699 +00:53:52,970 --> 00:53:55,490 +prisms are placed inside the telescope. + +700 +00:53:58,070 --> 00:54:03,550 +Common binoculars are handheld binoculars.Visual + +701 +00:54:03,550 --> 00:54:07,110 +aids are usually of the Keplerian design. + +702 +00:54:07,350 --> 00:54:09,250 +Occasionally there are some visual aids, the + +703 +00:54:09,250 --> 00:54:12,290 +visual aids that are carried by hand have a + +704 +00:54:12,290 --> 00:54:14,350 +Keplerian design, that is, the two lenses that + +705 +00:54:14,350 --> 00:54:19,810 +have a plus, and sometimes the lenses have a + +706 +00:54:19,810 --> 00:54:25,590 +Keplerian design. And this concludes the lecture + +707 +00:54:25,590 --> 00:54:29,110 +on the focal systems. God bless you and peace be + +708 +00:54:29,110 --> 00:54:29,450 +upon you. + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/WhDP7Okb7qc_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/WhDP7Okb7qc_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..dad0bd0809fd7f84e12a6cd5b9340417fac9f5af --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/WhDP7Okb7qc_raw.srt @@ -0,0 +1,2840 @@ +1 +00:00:01,530 --> 00:00:04,790 +بسم الله الرحمن الرحيم بنواصل مع محاضرات ال + +2 +00:00:04,790 --> 00:00:09,170 +geometric optics ووصلنا لموضوع ال a focal system + +3 +00:00:10,010 --> 00:00:13,590 +The focal system is a very important topic, and + +4 +00:00:13,590 --> 00:00:17,430 +here, what is negative? I mean, we have optical + +5 +00:00:17,430 --> 00:00:22,870 +systems without focus, without focus, what is this + +6 +00:00:22,870 --> 00:00:25,170 +optical system? How do we understand it? We know + +7 +00:00:25,170 --> 00:00:28,630 +that every optical system, until now, every + +8 +00:00:28,630 --> 00:00:31,310 +optical system has two focal points, that is, it + +9 +00:00:31,310 --> 00:00:35,330 +is a focal systemand LO2 nodal point and LO2 + +10 +00:00:35,330 --> 00:00:39,610 +principal point. The focal systems are a kind of + +11 +00:00:39,610 --> 00:00:43,550 +optical system that differs a little bit from what + +12 +00:00:43,550 --> 00:00:49,190 +we studied before. But to know what the difference + +13 +00:00:49,190 --> 00:00:53,090 +is, we can say thatلو عندنا عدسة واحدة، هذه العدسة + +14 +00:00:53,090 --> 00:00:56,350 +تعتبر لحالها optical system، إليها two nodal + +15 +00:00:56,350 --> 00:00:59,610 +points و two principal points و two focal points، + +16 +00:00:59,610 --> 00:01:03,690 +هذه لحالها تعتبر optical system و بنزميه focal + +17 +00:01:03,690 --> 00:01:07,350 +optical system، يعني optical system إليه focusOr + +18 +00:01:07,350 --> 00:01:10,850 +it has cardinal points This lens also has the same + +19 +00:01:10,850 --> 00:01:13,470 +thing, it has two nodal points, two focal points, + +20 +00:01:13,590 --> 00:01:16,270 +two principal points, and we consider it as an + +21 +00:01:16,270 --> 00:01:19,470 +optical system based on itself, and it has three + +22 +00:01:19,470 --> 00:01:23,150 +pairs of cardinal points Now if we talk about two + +23 +00:01:23,150 --> 00:01:28,010 +lenses together, two lenses togetherAlso, they + +24 +00:01:28,010 --> 00:01:31,850 +consider a focal system to have two nodal points, + +25 +00:01:31,950 --> 00:01:34,130 +two principal points, two focal points, but they + +26 +00:01:34,130 --> 00:01:37,250 +are different from the three pairs that belong to + +27 +00:01:37,250 --> 00:01:40,010 +each lens on it, that is, a new optical system + +28 +00:01:40,010 --> 00:01:42,690 +Okay, either you see today what we want to + +29 +00:01:42,690 --> 00:01:47,110 +understand or how we want to know to understand + +30 +00:01:47,110 --> 00:01:51,990 +the focal systems, the focal systemsTo remember in + +31 +00:01:51,990 --> 00:01:55,290 +the focal systems, some very important things that + +32 +00:01:55,290 --> 00:01:57,910 +we should remember from the previous lectures is + +33 +00:01:57,910 --> 00:02:02,870 +that the parallel rays, the parallel rays that + +34 +00:02:02,870 --> 00:02:05,730 +come parallel to the optical axis must pass + +35 +00:02:05,730 --> 00:02:08,270 +through the FP of the system, whether it is one + +36 +00:02:08,270 --> 00:02:11,070 +lens or several lenses, that is, the parallel + +37 +00:02:11,070 --> 00:02:14,110 +rays, this line, let's go to the colored picture + +38 +00:02:18,950 --> 00:02:26,490 +This blue line, parallel to the optical axis, + +39 +00:02:27,290 --> 00:02:32,450 +passes through the entire FB of the systemOkay, + +40 +00:02:32,870 --> 00:02:35,970 +the second blue line or the second light ray that + +41 +00:02:35,970 --> 00:02:39,210 +enters the FA will be parallel to the optical + +42 +00:02:39,210 --> 00:02:42,730 +axis, so the parallel must enter the FP and the + +43 +00:02:42,730 --> 00:02:45,990 +one that enters the FA must be parallel, whether + +44 +00:02:45,990 --> 00:02:48,310 +we are talking about one lens or we are talking + +45 +00:02:48,310 --> 00:02:51,290 +about many lenses. Okay, in the focal system, + +46 +00:02:51,710 --> 00:02:53,290 +let's see what happens to me + +47 +00:02:59,890 --> 00:03:04,010 +Consider an optical system consisting of two thin + +48 +00:03:04,010 --> 00:03:07,870 +lenses in air I have a plus two diopter lens and I + +49 +00:03:07,870 --> 00:03:10,850 +have a minus five diopter lens and the distance + +50 +00:03:10,850 --> 00:03:12,830 +between them is thirty centimeters and the + +51 +00:03:12,830 --> 00:03:15,030 +distance between them is thirty centimeters and + +52 +00:03:15,030 --> 00:03:19,050 +now I want to have parallel rays, parallel rays, + +53 +00:03:19,190 --> 00:03:22,770 +so we want to see where these parallel rays will + +54 +00:03:22,770 --> 00:03:25,190 +come out, where they will come out, we add a chip + +55 +00:03:25,190 --> 00:03:27,430 +and we come to do our calculations + +56 +00:03:34,630 --> 00:03:41,250 +But we need to move the image to make things clear + +57 +00:03:41,250 --> 00:03:47,850 +Let's + +58 +00:03:47,850 --> 00:03:54,650 +zoom in a little bit and follow the Virgin's + +59 +00:03:54,650 --> 00:03:57,930 +Calculation calculations First thing, Parallel + +60 +00:03:57,930 --> 00:04:02,130 +Rays means that U is zero U at the first lens is + +61 +00:04:02,130 --> 00:04:08,630 +equal to zero without calculation Okay, u plus b + +62 +00:04:08,630 --> 00:04:11,710 +is + +63 +00:04:11,710 --> 00:04:24,810 +equal to v, let's lower the speech a little bit + +64 +00:04:24,810 --> 00:04:29,870 +Okay, the u I have is zero plus the power two is + +65 +00:04:29,870 --> 00:04:33,310 +equal to, two is a diopter of course, is equal to + +66 +00:04:33,310 --> 00:04:45,860 +vإذن V تساوي plus اتنين ديوبتر I تساوي هنشرط على V + +67 +00:04:45,860 --> 00:04:52,000 +ويساوي + +68 +00:04:52,000 --> 00:05:02,100 +واحد على plus اتنين ديوبتر ويساوي plus نص متريعني + +69 +00:05:02,100 --> 00:05:06,140 +على يمين العدسة ال plus على بعد نص متر هي تلاتين + +70 +00:05:06,140 --> 00:05:10,630 +سانتي و عشرين سانتي، اذا الصورة الأولىالصورة + +71 +00:05:10,630 --> 00:05:14,290 +الأولى بتاعت العدسة لplus على بعد خمسين صنطي من + +72 +00:05:14,290 --> 00:05:18,570 +العدسة لplus على بعد خمسين صنطي من العدسة لplus + +73 +00:05:18,570 --> 00:05:23,770 +طيب الصورة الأولى هي object للعدسة التانية بس جاي + +74 +00:05:23,770 --> 00:05:26,310 +عاليمين الأشعة هتضرب في العدسة التانية و هي + +75 +00:05:26,310 --> 00:05:30,050 +convergent يعني virtual object virtual object + +76 +00:05:30,050 --> 00:05:38,860 +للعدسة التانية بنقول U تساوي زائد N على Oplus N + +77 +00:05:38,860 --> 00:05:43,100 +over O, then because the body on the right is a + +78 +00:05:43,100 --> 00:05:45,700 +virtual object, the rays are convergent, which is + +79 +00:05:45,700 --> 00:05:51,720 +plus and equal to plus one, which is N over O, the + +80 +00:05:51,720 --> 00:05:54,780 +distance is twenty centimeters, the object is the + +81 +00:05:54,780 --> 00:05:56,060 +image of the first lens, which is fifty + +82 +00:05:56,060 --> 00:05:59,280 +centimeters away from the first lens, but twenty + +83 +00:05:59,280 --> 00:06:01,460 +centimeters away from the second lens on the + +84 +00:06:01,460 --> 00:06:09,660 +right, then plus two out of ten metersويساوي plus + +85 +00:06:09,660 --> 00:06:14,800 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +86 +00:06:14,800 --> 00:06:15,800 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +87 +00:06:15,800 --> 00:06:21,200 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +88 +00:06:21,200 --> 00:06:24,200 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +89 +00:06:24,200 --> 00:06:25,800 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +90 +00:06:25,800 --> 00:06:25,800 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +91 +00:06:25,800 --> 00:06:29,260 +خمسة ديوبتر ويساوي plus خمسة ديوبتر ويساوي plus + +92 +00:06:29,260 --> 00:06:35,700 +خمسة ديوبتV is equal to zero means that the rays + +93 +00:06:35,700 --> 00:06:40,600 +are parallel The rays entered this system parallel + +94 +00:06:40,600 --> 00:06:43,780 +and came out parallel So this is the first time we + +95 +00:06:43,780 --> 00:06:49,820 +have an example of this The rays parallel to the + +96 +00:06:49,820 --> 00:06:53,220 +optical axis come out parallel and do not enter + +97 +00:06:53,220 --> 00:06:59,300 +the FP of the systemActually, this system doesn't + +98 +00:06:59,300 --> 00:07:06,400 +have FP, FA, or cardinal points, nor nodal points, + +99 +00:07:06,960 --> 00:07:11,660 +nor principal points, nor focal points, as the + +100 +00:07:11,660 --> 00:07:12,440 +question clarified + +101 +00:07:15,170 --> 00:07:18,050 +parallel to the optical axis and it turned out to + +102 +00:07:18,050 --> 00:07:22,930 +be parallel. So this is the first time that there + +103 +00:07:22,930 --> 00:07:27,730 +are no focal points or even cardinal points for + +104 +00:07:27,730 --> 00:07:31,510 +this system. This system is called a focal system. + +105 +00:07:31,610 --> 00:07:34,430 +We will see this in resimulation, how it will + +106 +00:07:34,430 --> 00:07:41,070 +happen in this case. We say that this is a lens + +107 +00:07:42,930 --> 00:07:47,630 +Plus two No + +108 +00:07:47,630 --> 00:07:52,830 +First + +109 +00:07:52,830 --> 00:07:57,450 +we put the grid Then + +110 +00:07:57,450 --> 00:08:05,610 +we put lens plus two Okay + +111 +00:08:05,610 --> 00:08:10,210 +Plus two means the focal length is five hundred + +112 +00:08:10,210 --> 00:08:17,870 +millimeters, fifty centimetersand then we put a + +113 +00:08:17,870 --> 00:08:21,770 +length minus 5 + +114 +00:08:21,770 --> 00:08:26,050 +which is minus 200 mm, minus 20 cm above its + +115 +00:08:26,050 --> 00:08:28,930 +length and we put between them a certain distance + +116 +00:08:40,810 --> 00:08:46,950 +طيب، الآن بدنا نجيب حزمة إشعاعية متوازية مع بعضها + +117 +00:08:46,950 --> 00:08:50,610 +البعض، + +118 +00:08:50,610 --> 00:08:57,330 +و طبعا نخفف كثافة الأشعة، + +119 +00:08:57,330 --> 00:08:58,470 +و نضلنا نبعد + +120 +00:09:06,230 --> 00:09:09,570 +when the rays are parallel when the rays are + +121 +00:09:09,570 --> 00:09:13,310 +parallel now we take a ruler and we see the + +122 +00:09:13,310 --> 00:09:20,130 +distance between no this is not a ruler we take a + +123 +00:09:20,130 --> 00:09:23,830 +ruler and + +124 +00:09:23,830 --> 00:09:29,270 +this is the ruler we see the distance between the + +125 +00:09:29,270 --> 00:09:29,750 +two lenses + +126 +00:09:36,030 --> 00:09:40,110 +طبعا عشان تخرج الأشعة متساوي أو متوازية تماما لازم + +127 +00:09:40,110 --> 00:09:44,890 +يكون المسافة عندي تلاتين سانتي، يعني تلاتميت ملي، + +128 +00:09:44,890 --> 00:09:48,730 +تلاتميت ملي، فبالتالي هذه القضية، هذا a focal + +129 +00:09:48,730 --> 00:09:55,170 +system، أشعة دخلت لل system موازية لبعضها البعض، + +130 +00:09:55,170 --> 00:09:58,930 +وخرجت من ال system موازية لبعضها البعض، موازية + +131 +00:09:58,930 --> 00:10:02,810 +لبعضها البعض، فبالتالي هذه القضية ضروري جدا تكون + +132 +00:10:02,810 --> 00:10:07,290 +واضحة، ضروري جدا تكون واضحة.The distance must be + +133 +00:10:07,290 --> 00:10:09,670 +calculated accurately, and we will tell you why 30 + +134 +00:10:09,670 --> 00:10:16,450 +cm if the lens is plus 2 and minus 5 Let's take + +135 +00:10:16,450 --> 00:10:21,230 +another example This is the grid, this is me for + +136 +00:10:21,230 --> 00:10:28,870 +example No, this is a ray We + +137 +00:10:28,870 --> 00:10:30,090 +need an ideal lens + +138 +00:10:38,630 --> 00:10:41,590 +Let's assume that plus four is more than two + +139 +00:10:41,590 --> 00:10:48,470 +hundred and fifty millimeters The focal length is + +140 +00:10:48,470 --> 00:10:53,050 +two hundred and fifty millimeters This is another + +141 +00:10:53,050 --> 00:11:05,550 +lens Let's + +142 +00:11:05,550 --> 00:11:06,410 +make it for example + +143 +00:11:10,790 --> 00:11:15,530 +minus one hundred which is minus ten diopters and + +144 +00:11:15,530 --> 00:11:19,050 +see how much distance there should be between them + +145 +00:11:19,050 --> 00:11:27,930 +to give me a focal system a focal system we + +146 +00:11:27,930 --> 00:11:29,530 +said that the first attribute of a focal system is + +147 +00:11:29,530 --> 00:11:31,570 +that the rays that enter it are parallel and exit + +148 +00:11:31,570 --> 00:11:36,270 +parallel here it didn't exit parallel we want to + +149 +00:11:36,270 --> 00:11:40,730 +see how we can make it paralleland then we see how + +150 +00:11:40,730 --> 00:11:43,090 +the distance is calculated, but it's better to + +151 +00:11:43,090 --> 00:11:46,170 +reduce the intensity of the rays to make the + +152 +00:11:46,170 --> 00:11:52,650 +picture clearer this + +153 +00:11:52,650 --> 00:11:55,810 +way the rays are parallel or close to be parallel + +154 +00:11:55,810 --> 00:11:58,930 +we + +155 +00:11:58,930 --> 00:12:00,930 +will see with the ruler how much is the distance + +156 +00:12:00,930 --> 00:12:05,130 +between the two poles this + +157 +00:12:05,130 --> 00:12:09,400 +is the rulerand see the distance between the two + +158 +00:12:09,400 --> 00:12:09,520 +lenses + +159 +00:12:14,130 --> 00:12:16,870 +Exactly fifteen centimeters, one hundred and fifty + +160 +00:12:16,870 --> 00:12:21,030 +millimeters, fifteen centimeters. Okay, you might + +161 +00:12:21,030 --> 00:12:23,230 +ask, is it the distance of deviation? No, it's the + +162 +00:12:23,230 --> 00:12:25,170 +distance, not deviation. The distance, not + +163 +00:12:25,170 --> 00:12:27,950 +deviation. By measuring the focal length of the + +164 +00:12:27,950 --> 00:12:31,390 +plus lens and measuring the focal length of the + +165 +00:12:31,390 --> 00:12:34,070 +minus lens, the focal length of the plus lens to + +166 +00:12:34,070 --> 00:12:36,950 +the plus four is the focal length of twenty-five + +167 +00:12:36,950 --> 00:12:43,830 +centimeters.And the focal length of minus ten is + +168 +00:12:43,830 --> 00:12:47,030 +minus ten centimeters Twenty-five centimeters + +169 +00:12:47,030 --> 00:12:49,850 +minus ten centimeters is fifteen centimeters The + +170 +00:12:49,850 --> 00:12:53,230 +distance must be between the two to give me a + +171 +00:12:53,230 --> 00:12:56,950 +focal system A focal system Here in the example + +172 +00:12:56,950 --> 00:13:01,450 +that we hit a while ago We said that the focal + +173 +00:13:01,450 --> 00:13:05,310 +length of plus two is the maximum distance of plus + +174 +00:13:05,310 --> 00:13:08,230 +two which is fifty centimeters Fifty centimeters + +175 +00:13:09,020 --> 00:13:12,920 +And the distance of the minus 5 diopter lens is + +176 +00:13:12,920 --> 00:13:16,800 +minus 20 centimeters. 50 centimeters minus 20 + +177 +00:13:16,800 --> 00:13:19,000 +centimeters, then the distance must be 30 + +178 +00:13:19,000 --> 00:13:21,080 +centimeters between the two. + +179 +00:13:25,310 --> 00:13:28,530 +The posterior focus of this lens, not of the + +180 +00:13:28,530 --> 00:13:31,810 +system, the system has no focus The posterior + +181 +00:13:31,810 --> 00:13:35,170 +focus of this lens is applied to the anterior + +182 +00:13:35,170 --> 00:13:38,090 +focus of this lens It is known that the anterior + +183 +00:13:38,090 --> 00:13:43,290 +focus of the minus lens comes to its rightThe + +184 +00:13:43,290 --> 00:13:47,270 +anterior F A on the right and this F B on the + +185 +00:13:47,270 --> 00:13:52,070 +right So this F B is 50 cm away from it and this F + +186 +00:13:52,070 --> 00:13:54,190 +A is 20 cm away from it So they are coming from + +187 +00:13:54,190 --> 00:13:57,630 +the same point This is F F A for the minus lens + +188 +00:13:57,630 --> 00:14:00,970 +and F B for the plus lens They have to come + +189 +00:14:00,970 --> 00:14:05,550 +together to have the afocal system This afocal + +190 +00:14:05,550 --> 00:14:10,810 +system that we presentedor what we drew is called + +191 +00:14:10,810 --> 00:14:15,970 +Galilean telescope Galilean + +192 +00:14:15,970 --> 00:14:21,270 +telescope which is named after the scientist + +193 +00:14:21,270 --> 00:14:25,490 +Galileo Galilei, but not the inventor Galileo + +194 +00:14:25,490 --> 00:14:29,730 +Galilei So, in the Galilean telescope, which is + +195 +00:14:29,730 --> 00:14:32,830 +one of the kinds of focal systems, in the Galilean + +196 +00:14:32,830 --> 00:14:37,210 +telescope, the length of the telescope is equal to + +197 +00:14:38,560 --> 00:14:41,900 +The difference between the focal length of the + +198 +00:14:41,900 --> 00:14:45,020 +plus lens and the focal length of the minus lens + +199 +00:14:45,020 --> 00:14:49,100 +Okay, let's say we want to hit a third example + +200 +00:14:49,100 --> 00:14:54,240 +Let's do reset And go back to the powerpoint and + +201 +00:14:54,240 --> 00:14:58,420 +add a strip And say as usual I have + +202 +00:15:07,320 --> 00:15:15,220 +this is the optical axis and here I have a plus + +203 +00:15:15,220 --> 00:15:19,520 +lens and + +204 +00:15:19,520 --> 00:15:26,820 +here I have a minus lens + +205 +00:15:26,820 --> 00:15:31,620 +okay, + +206 +00:15:32,320 --> 00:15:35,080 +the plus lens, we calculate its force + +207 +00:15:38,200 --> 00:15:45,280 +Plus 10, this is better And + +208 +00:15:45,280 --> 00:15:46,780 +minus 20, + +209 +00:15:52,000 --> 00:15:56,470 +this is betterHow long does the telescope have to + +210 +00:15:56,470 --> 00:15:59,810 +be? How long is the distance between them to + +211 +00:15:59,810 --> 00:16:03,950 +consider that this is a focal system or I built a + +212 +00:16:03,950 --> 00:16:06,690 +Galilean telescope Galilean telescope, which means + +213 +00:16:06,690 --> 00:16:11,840 +I have to bring a canand I fix the plus 10 diopter + +214 +00:16:11,840 --> 00:16:16,520 +on one side of the tube and I fix the minus 20 + +215 +00:16:16,520 --> 00:16:19,200 +diopter on the other side but I want to know how + +216 +00:16:19,200 --> 00:16:22,780 +long the tube has to be in order to say I made a + +217 +00:16:22,780 --> 00:16:25,860 +Galilean telescope I made a Galilean telescope we + +218 +00:16:25,860 --> 00:16:35,280 +say as follows the fp of this lens which is + +219 +00:16:35,280 --> 00:16:38,340 +unconditional over I or unconditional over the + +220 +00:16:38,340 --> 00:16:46,060 +power acidويساوي أنشرطة واحد في الهواء على P لإيه + +221 +00:16:46,060 --> 00:16:54,320 +plus عشرة ديوبتر ويساوي + +222 +00:16:54,320 --> 00:16:57,940 +plus + +223 +00:16:57,940 --> 00:17:02,720 +عشرة صنطة FA + +224 +00:17:02,720 --> 00:17:08,700 +تاعة العدسة ال minusFa to the minus of the lens is + +225 +00:17:08,700 --> 00:17:14,980 +equal to minus Unconditional + +226 +00:17:14,980 --> 00:17:18,660 +over I Because we want to depart from each other + +227 +00:17:18,660 --> 00:17:23,200 +First + +228 +00:17:23,200 --> 00:17:26,120 +let's say, but let's bring it as an absolute + +229 +00:17:26,120 --> 00:17:32,300 +distance Unconditional over I And it is equal to + +230 +00:17:38,480 --> 00:17:44,500 +واحد على minus + +231 +00:17:44,500 --> 00:17:52,880 +عشرين ده يقدر ويساوي minus خمسة من مية متر يعني + +232 +00:17:52,880 --> 00:18:01,470 +minus خمسة سانت، minus خمسة سانتSo, FP plus 10 cm + +233 +00:18:01,470 --> 00:18:05,910 +and FA minus 5 cm And if we want to avoid + +234 +00:18:05,910 --> 00:18:12,090 +confusion, these distances or these signals, we + +235 +00:18:12,090 --> 00:18:15,690 +delay them for a very simple reason that FA of + +236 +00:18:15,690 --> 00:18:18,230 +this lens is on the right, so if we put minus on + +237 +00:18:18,230 --> 00:18:21,090 +it, the situation will become confusing. But we + +238 +00:18:21,090 --> 00:18:23,150 +say in the Galilean telescope + +239 +00:18:28,160 --> 00:18:29,860 +In Galilean telescope, + +240 +00:18:39,260 --> 00:18:44,230 +we set distancesset the distances, the distance + +241 +00:18:44,230 --> 00:18:46,890 +from the lens to the place is less than the + +242 +00:18:46,890 --> 00:18:49,550 +distance from the lens to the place, so this is + +243 +00:18:49,550 --> 00:18:51,810 +like a rule that relaxes us so the distance from + +244 +00:18:51,810 --> 00:18:55,890 +here is 5 cm and the distance from here is 10 cm, + +245 +00:18:56,030 --> 00:18:58,130 +we set them apart, so the length of the telescope + +246 +00:18:58,130 --> 00:19:02,230 +must be + +247 +00:19:02,230 --> 00:19:07,650 +the + +248 +00:19:07,650 --> 00:19:09,190 +length of the telescope must be + +249 +00:19:13,420 --> 00:19:18,400 +ten minus five equals five centimeters let's see + +250 +00:19:18,400 --> 00:19:22,180 +this talk this distance must be five centimeters + +251 +00:19:22,180 --> 00:19:24,860 +let's see this talk in simulation let's say this + +252 +00:19:24,860 --> 00:19:39,000 +is the grid and here I have a lens plus ten and + +253 +00:19:39,000 --> 00:19:40,440 +I want a lens minus + +254 +00:19:48,930 --> 00:19:56,130 +Lens is minus 20mm The focal length will be minus + +255 +00:19:56,130 --> 00:20:00,670 +5cm + +256 +00:20:00,670 --> 00:20:04,550 +which is 50mm And I want the distance between them + +257 +00:20:04,550 --> 00:20:10,190 +to be 5cm + +258 +00:20:10,190 --> 00:20:15,970 +only This is 10cm and I want it to be 5cm + +259 +00:20:27,690 --> 00:20:42,270 +so that the measurement is even we are + +260 +00:20:42,270 --> 00:20:48,410 +still less than 5 cm this + +261 +00:20:48,410 --> 00:20:55,870 +is 5 cm now what is required is to take + +262 +00:20:55,870 --> 00:20:56,170 +a parallel beam + +263 +00:21:04,630 --> 00:21:14,890 +and reduce its density to know that the + +264 +00:21:14,890 --> 00:21:27,050 +rays will be exactly parallel to each other + +265 +00:21:27,050 --> 00:21:28,810 +exactly parallel to each other exactly parallel to + +266 +00:21:28,810 --> 00:21:30,570 +zero exactly parallel to + +267 +00:21:35,910 --> 00:21:37,510 +That's how we enlarged the picture a little, + +268 +00:21:37,890 --> 00:21:39,590 +exactly it came to zero and came to five + +269 +00:21:39,590 --> 00:21:42,510 +centimeters, the rays that came out are parallel + +270 +00:21:42,510 --> 00:21:46,070 +to each other, parallel to each other, so that's + +271 +00:21:46,070 --> 00:21:51,270 +how the Galilean telescope is five centimeters + +272 +00:21:51,270 --> 00:21:55,680 +long, five centimeters long, so this isThe + +273 +00:21:55,680 --> 00:21:58,280 +Galilean telescope, the Galilean telescope Is + +274 +00:21:58,280 --> 00:22:00,960 +there another type of telescope? Yes, there is + +275 +00:22:00,960 --> 00:22:04,460 +another type of telescope which is the Keplerian + +276 +00:22:04,460 --> 00:22:09,670 +telescope, the Keplerian telescopeThe lenses in it + +277 +00:22:09,670 --> 00:22:14,670 +are all plus. Before we start with the Keplerian + +278 +00:22:14,670 --> 00:22:16,890 +telescope, we want to say that the Galilean + +279 +00:22:16,890 --> 00:22:20,050 +telescope is composed of a plus lens, they call it + +280 +00:22:20,050 --> 00:22:22,670 +objective, which is directed towards the object + +281 +00:22:22,670 --> 00:22:25,670 +that the person is looking at, objective lens, + +282 +00:22:26,270 --> 00:22:27,210 +objective lens + +283 +00:22:36,120 --> 00:22:40,340 +وهنا بسموها eyepiece lens، يعني اللي بحط الإنسان + +284 +00:22:40,340 --> 00:22:43,740 +الفاحس عليها عين، eyepiece lens + +285 +00:22:47,700 --> 00:22:51,040 +So here if we look in the telescope, we put our + +286 +00:22:51,040 --> 00:22:54,460 +eye here and look in it, and this is the lens + +287 +00:22:54,460 --> 00:22:57,660 +directed to the object, directed to the object Of + +288 +00:22:57,660 --> 00:23:00,740 +course, always and forever, always and forever, + +289 +00:23:01,520 --> 00:23:05,620 +the objective lens is plus and its force is less + +290 +00:23:05,620 --> 00:23:08,920 +than the eyepiece lens which is minus, which is + +291 +00:23:08,920 --> 00:23:13,500 +minus So the objective lens is low power plus, low + +292 +00:23:13,500 --> 00:23:17,300 +power plus, and here it is high power minushigh + +293 +00:23:17,300 --> 00:23:20,340 +power minus in the Galilean telescope. Let's see + +294 +00:23:20,340 --> 00:23:21,760 +what's different between the Keplerian telescope + +295 +00:23:21,760 --> 00:23:25,760 +and the Galilean telescope. Let's see this case. + +296 +00:23:26,280 --> 00:23:31,560 +This is a grid. This means I have a plus lens. + +297 +00:23:40,240 --> 00:23:42,020 +Let's make a duplication. + +298 +00:23:58,900 --> 00:24:05,780 +this is the lens, we want to make it for example 5 + +299 +00:24:05,780 --> 00:24:10,560 +diopters, so it should be 250mm + +300 +00:24:10,560 --> 00:24:14,620 +and this is 10 diopters and this is 10 diopters, + +301 +00:24:15,060 --> 00:24:18,780 +we want to see what distances we want to make of + +302 +00:24:18,780 --> 00:24:21,780 +course the distance between the two lenses to get + +303 +00:24:21,780 --> 00:24:27,060 +a Keplerian telescope it should be the total focal + +304 +00:24:27,060 --> 00:24:34,580 +length of itFor plus 5, the focal length is 25 cm, + +305 +00:24:34,720 --> 00:24:38,600 +and for plus 10, the focal length is 10 cm, which + +306 +00:24:38,600 --> 00:24:43,480 +is 25 cm, plus 10 cm, which is 35 cm. We see that + +307 +00:24:43,480 --> 00:24:47,620 +we need to make the distance between them equal to + +308 +00:24:47,620 --> 00:24:49,080 +35 cm. + +309 +00:24:52,600 --> 00:24:56,060 +they give me a Keplerian telescope Keplerian + +310 +00:24:56,060 --> 00:25:00,760 +telescope, as we will see in a while The distance + +311 +00:25:00,760 --> 00:25:05,280 +is still not equal to thirty-five centimeters + +312 +00:25:05,280 --> 00:25:09,720 +Let's move this lens away from thirty-five + +313 +00:25:09,720 --> 00:25:10,380 +centimeters + +314 +00:25:17,120 --> 00:25:22,580 +now the distance between them is 35 cm, we need a + +315 +00:25:22,580 --> 00:25:26,160 +beam of light + +316 +00:25:26,160 --> 00:25:31,320 +to + +317 +00:25:31,320 --> 00:25:36,740 +reduce its density and enlarge the image a little + +318 +00:25:45,750 --> 00:25:49,770 +zoom in to see the rays + +319 +00:25:54,960 --> 00:25:59,960 +كيف طلعت عندي متوازية مع بعضها البعض متوازية مع + +320 +00:25:59,960 --> 00:26:04,200 +بعضها البعض إذا عندي دخلت متوازية وخرجت متوازية + +321 +00:26:04,200 --> 00:26:08,980 +المسافة في حالة ال Keplerian telescope في حالة ال + +322 +00:26:08,980 --> 00:26:12,320 +Keplerian telescope تساوي ال focal length بتاع + +323 +00:26:12,320 --> 00:26:15,420 +العدسة ال plus الأولى زائد ال focal length بتاع + +324 +00:26:15,420 --> 00:26:20,420 +العدسة ال plus التانية إذا FP بتاع العدسة الأولى + +325 +00:26:20,420 --> 00:26:25,190 +ينطبق على FA بتاع العدسات التانيةIn the case of + +326 +00:26:25,190 --> 00:26:28,450 +the Galilean telescope, it's the same thing Fb of + +327 +00:26:28,450 --> 00:26:34,600 +the first lens Fb of the first lens hereof the + +328 +00:26:34,600 --> 00:26:38,160 +plus lens is equivalent to the F of the minus lens + +329 +00:26:38,160 --> 00:26:41,600 +F of the minus lens on its right opposite of the + +330 +00:26:41,600 --> 00:26:45,200 +plus lens opposite of the plus lens So it is + +331 +00:26:45,200 --> 00:26:48,460 +necessary that the posterior focus of the first + +332 +00:26:48,460 --> 00:26:50,940 +lens is equivalent to the anterior focus of the + +333 +00:26:50,940 --> 00:26:55,420 +second lens This is called Galilean telescope and + +334 +00:26:55,420 --> 00:26:59,100 +this is called Keplerian telescope The differences + +335 +00:26:59,100 --> 00:27:04,190 +between them is that the Galilean telescopeThe + +336 +00:27:04,190 --> 00:27:10,510 +Galilean telescope has a plus lens and a minus + +337 +00:27:10,510 --> 00:27:13,790 +lens. The Keplerian telescope has two plus lenses. + +338 +00:27:14,780 --> 00:27:19,080 +Okay, the objective always in both is plus and low + +339 +00:27:19,080 --> 00:27:23,760 +power The objective always, the objective lens in + +340 +00:27:23,760 --> 00:27:27,820 +both, in both is considered plus and low power The + +341 +00:27:27,820 --> 00:27:32,000 +IBS lens in the Galilean telescope is minus and + +342 +00:27:32,000 --> 00:27:36,700 +high power In the Keplerian telescope is plus and + +343 +00:27:36,700 --> 00:27:41,580 +high power, plus and high power So these are the + +344 +00:27:41,580 --> 00:27:46,110 +differences between themin length, the Galilean is + +345 +00:27:46,110 --> 00:27:49,130 +shorter and the Keplerian is longer the Galilean + +346 +00:27:49,130 --> 00:27:51,850 +is shorter and the Keplerian is longer here its + +347 +00:27:51,850 --> 00:27:55,470 +length is 35 cm which is the Keplerian telescope + +348 +00:27:55,470 --> 00:27:59,510 +if we imagine this I piece which is 10 diopters we + +349 +00:27:59,510 --> 00:28:03,170 +have to make it minus 10 diopters minus 10 + +350 +00:28:03,170 --> 00:28:07,270 +dioptersExcuse me, minus one hundred millimeters, + +351 +00:28:07,530 --> 00:28:11,130 +which is minus ten centimeters, so I have minus + +352 +00:28:11,130 --> 00:28:13,650 +ten degrees. The length of the Keplerian was + +353 +00:28:13,650 --> 00:28:16,190 +thirty-five centimeters. The Galilean, which has + +354 +00:28:16,190 --> 00:28:19,890 +the same force, but its lens is Ibs minus, will + +355 +00:28:19,890 --> 00:28:30,570 +have25 minus 10 will be 15 cm and therefore the + +356 +00:28:30,570 --> 00:28:35,870 +rays will be parallel. So if we bring a Galilean + +357 +00:28:35,870 --> 00:28:38,410 +telescope and a Keplerian telescope with the same + +358 +00:28:38,410 --> 00:28:40,450 +force, of course, the difference is that in the + +359 +00:28:40,450 --> 00:28:43,690 +Galilean the I is minus and the Galilean is much + +360 +00:28:43,690 --> 00:28:47,200 +smaller.from the Keplerian telescope, from the + +361 +00:28:47,200 --> 00:28:51,740 +Keplerian telescope, so this case should be clear + +362 +00:28:51,740 --> 00:28:54,140 +to me, should be clear to me Now there are + +363 +00:28:54,140 --> 00:28:57,100 +differences or there are things that distinguish + +364 +00:28:57,100 --> 00:29:01,660 +these focal systems Of course, the Keplerian + +365 +00:29:01,660 --> 00:29:05,180 +telescope was invented by Johannes Kepler, + +366 +00:29:05,380 --> 00:29:08,740 +Johannes Kepler Okay, then consider an optical + +367 +00:29:08,740 --> 00:29:12,980 +system consisting of two thin lenses in air, as + +368 +00:29:12,980 --> 00:29:17,870 +the drawing showsThe lens powers are plus 2 + +369 +00:29:17,870 --> 00:29:23,910 +diopter and minus 5 diopter respectively. Where is + +370 +00:29:23,910 --> 00:29:28,270 +FB for this system? مش للنس واحدة منه ولكن for + +371 +00:29:28,270 --> 00:29:33,070 +this system the posterior focal point هي المكان + +372 +00:29:33,070 --> 00:29:37,640 +اللي ال incoming parallel rays focusHowever, as + +373 +00:29:37,640 --> 00:29:40,840 +ray tracing demonstrates, rays entering the system + +374 +00:29:40,840 --> 00:29:44,320 +parallel to the optical axis emerge parallel to + +375 +00:29:44,320 --> 00:29:57,160 +the optical axis This system + +376 +00:29:57,160 --> 00:30:01,360 +has no focal points. In other words, it is a focal + +377 +00:30:01,360 --> 00:30:06,500 +systemIf an object is placed two meters in front + +378 +00:30:06,500 --> 00:30:09,560 +of the first lens, where is the image and what is + +379 +00:30:09,560 --> 00:30:13,620 +the transfer's magnification? طبعا لو حسبنا ال + +380 +00:30:13,620 --> 00:30:17,280 +transfer's magnification بال Virgin's calculation + +381 +00:30:17,280 --> 00:30:21,320 +لو قولنا هذا ال system هذا ال system a focal + +382 +00:30:21,320 --> 00:30:25,120 +system وعندي + +383 +00:30:25,120 --> 00:30:30,740 +object object على بعد meter + +384 +00:30:34,060 --> 00:30:43,500 +On a distance of one meter And I + +385 +00:30:43,500 --> 00:30:47,900 +want to calculate the total transfer magnification + +386 +00:30:47,900 --> 00:30:52,120 +of the last image of the object I want to use the + +387 +00:30:52,120 --> 00:30:55,180 +vergence calculationOkay, the divergence + +388 +00:30:55,180 --> 00:30:58,520 +calculation will take a long time and each one of + +389 +00:30:58,520 --> 00:31:01,540 +us who learned a lot or took many lessons on this + +390 +00:31:01,540 --> 00:31:05,160 +topic can do this problem at home The result will + +391 +00:31:05,160 --> 00:31:08,480 +be that the total transference magnification is 4 + +392 +00:31:08,480 --> 00:31:14,340 +out of 10 in case the body is 2 meters or 1 meter + +393 +00:31:14,340 --> 00:31:17,180 +and if we put it on 2 meters it will be 4 out of + +394 +00:31:17,180 --> 00:31:20,340 +10 and if we put it on 3 meters it will be 4 out + +395 +00:31:20,340 --> 00:31:23,300 +of 10 then the magnification of these systems + +396 +00:31:24,070 --> 00:31:26,970 +Fixed, fixed, if I have a certain amount of + +397 +00:31:26,970 --> 00:31:30,490 +magnification, I will keep it fixed regardless of + +398 +00:31:30,490 --> 00:31:33,530 +the location of the object what changed So it's + +399 +00:31:33,530 --> 00:31:36,910 +different from the normal optical systems that + +400 +00:31:36,910 --> 00:31:39,270 +first thing it doesn't have cardinal points and + +401 +00:31:39,270 --> 00:31:42,210 +second thing it doesn't have focal points It + +402 +00:31:42,210 --> 00:31:44,350 +doesn't have cardinal points at all, so therefore + +403 +00:31:44,350 --> 00:31:47,330 +no focal points, no nodal points, no principal + +404 +00:31:47,330 --> 00:31:51,440 +pointsOkay, we say as usual, this system that we + +405 +00:31:51,440 --> 00:31:55,380 +proposed and that we said the first lens is plus 5 + +406 +00:31:55,380 --> 00:31:58,200 +diopter or plus 2 diopter and the second lens is + +407 +00:31:58,200 --> 00:32:01,080 +minus 5 diopter and we named it Galilean telescope + +408 +00:32:01,080 --> 00:32:03,660 +and the distance between the two lenses is 30 + +409 +00:32:03,660 --> 00:32:08,540 +centimeters, it will give me a magnification of 4 + +410 +00:32:08,540 --> 00:32:14,840 +out of 10Four out of ten. Very good. So wherever + +411 +00:32:14,840 --> 00:32:17,600 +the object stands, whether it's one meter, two + +412 +00:32:17,600 --> 00:32:21,520 +meters, three meters, ten meters, twenty meters, + +413 +00:32:21,960 --> 00:32:24,340 +regardless of the distance of the object, the + +414 +00:32:24,340 --> 00:32:27,020 +magnification will remain four out of tenطيب احنا + +415 +00:32:27,020 --> 00:32:30,540 +اذا فاكرين حكينا ما حكينا عن ال principal points و + +416 +00:32:30,540 --> 00:32:33,520 +ال principal planes، قولنا هدولة ال planes اللي + +417 +00:32:33,520 --> 00:32:37,440 +بيكون التكبير عندهم واحد صحيح، بمعنى ان الجسم + +418 +00:32:37,440 --> 00:32:42,100 +واجف، الجسم واجف و ارتفاع .. او الصورة واجف و + +419 +00:32:42,100 --> 00:32:45,080 +ارتفاعها جد ارتفاع ال object، اذا في هذا ال system + +420 +00:32:45,080 --> 00:32:50,600 +مستحيل احصل على magnification مقدار oneOkay, if I + +421 +00:32:50,600 --> 00:32:53,200 +brought another system, another focal system, and + +422 +00:32:53,200 --> 00:32:55,680 +my magnification was one, it will remain one + +423 +00:32:55,680 --> 00:32:59,100 +forever One meter away, two meters away, three + +424 +00:32:59,100 --> 00:33:01,560 +meters away, twenty meters away, a kilo away + +425 +00:33:01,560 --> 00:33:06,360 +Therefore, therefore, there is no two planes that + +426 +00:33:06,360 --> 00:33:09,040 +I call these principal planes Because all planes + +427 +00:33:09,040 --> 00:33:12,860 +give me one magnification In fact, and in short + +428 +00:33:12,860 --> 00:33:17,720 +for all this explanation, we sayA focal system is + +429 +00:33:17,720 --> 00:33:25,200 +a system that does not have cardinal points + +430 +00:33:25,200 --> 00:33:29,920 +In a focal system, the transphase magnification is + +431 +00:33:29,920 --> 00:33:33,460 +the same for every object regardless of location + +432 +00:33:33,460 --> 00:33:37,020 +In a focal system, the magnification remains + +433 +00:33:37,020 --> 00:33:40,240 +constant regardless of the location of the object + +434 +00:33:40,240 --> 00:33:43,640 +Where are the principal planes for this system? + +435 +00:33:44,260 --> 00:33:48,480 +Actually it has no principal planes, why? Remember + +436 +00:33:48,480 --> 00:33:51,060 +that the principal planes are the unique + +437 +00:33:51,060 --> 00:33:53,800 +conjugates with the transference magnification of + +438 +00:33:53,800 --> 00:33:56,860 +1. In this system, the transference magnification + +439 +00:33:56,860 --> 00:34:01,370 +is always 4 out of 10 and never 1.if the + +440 +00:34:01,370 --> 00:34:04,650 +transference magnification was equal to one it + +441 +00:34:04,650 --> 00:34:07,810 +would be one for every pair of conjugates + +442 +00:34:22,590 --> 00:34:25,270 +So I don't have focal points and I don't have + +443 +00:34:25,270 --> 00:34:28,690 +principal planes or points Consequently, there + +444 +00:34:28,690 --> 00:34:31,610 +would be no unique set of planes that could be + +445 +00:34:31,610 --> 00:34:34,930 +designated principal planes Who can I call a + +446 +00:34:34,930 --> 00:34:38,120 +principal plane if I have only one magnitude?هل + +447 +00:34:38,120 --> 00:34:41,840 +على بعض نص متر، عبعد متر، عبعد عشرين سانتي، عبعد + +448 +00:34:41,840 --> 00:34:44,620 +خمسة سانتي، عبعد واحد ملي، كله بيعطيني + +449 +00:34:44,620 --> 00:34:48,780 +magnification one، اذا مافيش عندي principal planes + +450 +00:34:48,780 --> 00:34:53,840 +In general، و هذه الكلمة بتلخص كل شيء عن ال .. ال + +451 +00:34:53,840 --> 00:34:57,660 +focal .. ال .. a focal systems A focal systems do + +452 +00:34:57,660 --> 00:35:01,880 +not have cardinal points Do not have cardinal + +453 +00:35:01,880 --> 00:35:06,980 +pointsA focal systems are used clinically as + +454 +00:35:06,980 --> 00:35:16,540 +telescopes and low or low vision aids The + +455 +00:35:16,540 --> 00:35:29,620 +two + +456 +00:35:29,620 --> 00:35:32,840 +basic types of telescopes are Galilean telescope + +457 +00:35:33,690 --> 00:35:37,930 +named for, but not invented by Galileo, of course, + +458 +00:35:38,170 --> 00:35:40,810 +it is called with respect and appreciation to the + +459 +00:35:40,810 --> 00:35:44,390 +scientist Galileo Galilei, of course, it is not + +460 +00:35:44,390 --> 00:35:47,170 +him who invented it and the Keplerian telescope, + +461 +00:35:47,690 --> 00:35:52,250 +which is an astronomical telescope, which is used + +462 +00:35:52,250 --> 00:35:57,390 +in space mostly, was invented by Johannes Kepler, + +463 +00:35:57,890 --> 00:36:01,380 +so this case is very important to be clearThe + +464 +00:36:01,380 --> 00:36:04,680 +Galilean telescope consists of two lenses. The + +465 +00:36:04,680 --> 00:36:07,380 +first lens, which is the objective lens, is always + +466 +00:36:07,380 --> 00:36:13,340 +positive and usually has low power, whereas the + +467 +00:36:13,340 --> 00:36:16,580 +second lens, the eyepiece or ocular, is always + +468 +00:36:16,580 --> 00:36:21,630 +negative and usually has high power.The lenses are + +469 +00:36:21,630 --> 00:36:24,690 +separated by the difference in their focal lengths + +470 +00:36:24,690 --> 00:36:27,690 +.الان في ال Galilean telescope المسافة بين + +471 +00:36:27,690 --> 00:36:31,750 +العدستين هي حاصل الفرق الفرق بين ال two focal + +472 +00:36:31,750 --> 00:36:34,910 +lengths ده العدسة ال plus و العدسة ال minus The + +473 +00:36:34,910 --> 00:36:37,910 +focal system depicted in the previous figure is + +474 +00:36:37,910 --> 00:36:40,790 +Galilean telescope اللي هو عرضناه كمثال في الأول + +475 +00:36:40,790 --> 00:36:46,270 +هذا Galilean telescope هذا Galilean telescope أيضا + +476 +00:36:46,270 --> 00:36:49,150 +المثال التاني اللي رسمناه مع بعض هو Galilean + +477 +00:36:49,150 --> 00:36:49,770 +telescope + +478 +00:36:53,210 --> 00:36:56,610 +The Galilean telescope is also used in some slit + +479 +00:36:56,610 --> 00:36:57,930 +lamp biomicroscope + +480 +00:37:10,350 --> 00:37:13,450 +this is a Galilean telescope this is a Galilean + +481 +00:37:13,450 --> 00:37:17,490 +telescope the Keplerian telescope also consists of + +482 +00:37:17,490 --> 00:37:22,250 +two lenses a low power objective lens and high + +483 +00:37:22,250 --> 00:37:26,050 +power ocular lens or eyepiece lens but both are + +484 +00:37:26,050 --> 00:37:28,890 +positive and this is different from the Galilean + +485 +00:37:28,890 --> 00:37:32,130 +telescope and separated by the sum of their focal + +486 +00:37:32,130 --> 00:37:34,490 +length the distance between the two lenses in the + +487 +00:37:34,490 --> 00:37:38,950 +Keplerian telescope is the sum ofthe focal length + +488 +00:37:38,950 --> 00:37:42,750 +of the first lens which is the objective lens with + +489 +00:37:42,750 --> 00:37:48,890 +the focal length of the eyepiece lens which is the + +490 +00:37:48,890 --> 00:37:53,070 +total focal length of both lenses. Of course, here + +491 +00:37:53,070 --> 00:37:55,790 +the image in the Galilean telescope is erect + +492 +00:37:55,790 --> 00:38:00,390 +magnified, a normal image, while in the Keplerian + +493 +00:38:00,390 --> 00:38:03,970 +telescope the image is inverted. The image is + +494 +00:38:03,970 --> 00:38:07,410 +inverted, as the picture shows, it is 2 plus. + +495 +00:38:07,960 --> 00:38:11,200 +lenses, objective lens, this one is directed + +496 +00:38:11,200 --> 00:38:16,240 +towards + +497 +00:38:16,240 --> 00:38:19,680 +the stars and planets and towards space, and this + +498 +00:38:19,680 --> 00:38:23,440 +astronomical eyepiece lens which a person puts his + +499 +00:38:23,440 --> 00:38:25,780 +eye and watches from it, so when it is directed + +500 +00:38:25,780 --> 00:38:28,460 +towards the moon or the planet or a star or + +501 +00:38:28,460 --> 00:38:32,480 +something similar, parallel rays come and make a + +502 +00:38:32,480 --> 00:38:37,830 +picturereversed to this planet or star or space + +503 +00:38:37,830 --> 00:38:41,450 +object, and we look at this reversed image that + +504 +00:38:41,450 --> 00:38:43,990 +forms another image on the eye network that we + +505 +00:38:43,990 --> 00:38:47,610 +perceive, so the image is inverted in the + +506 +00:38:47,610 --> 00:38:50,710 +astronomical or Keplerian telescope, in the + +507 +00:38:50,710 --> 00:38:57,420 +Keplerian telescopeTo compare, in the beginning of + +508 +00:38:57,420 --> 00:39:00,720 +the lecture, we used plus 2 diopter with minus 5 + +509 +00:39:00,720 --> 00:39:05,300 +diopter Now, we use Keplerian telescope, as in + +510 +00:39:05,300 --> 00:39:08,720 +Galilean Keplerian telescope, we use plus 2 + +511 +00:39:08,720 --> 00:39:13,280 +diopter and plus 5 diopter trial lens from the + +512 +00:39:13,280 --> 00:39:16,380 +trial set, from the lens bag And we distance them, + +513 +00:39:16,460 --> 00:39:19,500 +this focal length is 20 cm and this focal length + +514 +00:39:19,500 --> 00:39:24,970 +is50 cm, so to make a Keplerian telescope 20 cm + +515 +00:39:24,970 --> 00:39:29,170 +and 50 cm, the distance should be 70 cm between + +516 +00:39:29,170 --> 00:39:32,930 +the two lenses. We will see this in the + +517 +00:39:32,930 --> 00:39:34,830 +simulation, we will see how it will turn out with + +518 +00:39:34,830 --> 00:39:38,330 +us. This is reset, this is grid. We have a lens + +519 +00:39:38,330 --> 00:39:46,910 +plus two diopters. This is not a lens. This is a + +520 +00:39:46,910 --> 00:39:48,510 +lens plus two diopters. + +521 +00:39:57,750 --> 00:40:01,650 +We are going + +522 +00:40:01,650 --> 00:40:04,530 +to adjust their strength, but first this lens has + +523 +00:40:04,530 --> 00:40:09,030 +to be 2 diopters, which means 50 cm or 500 mm, and + +524 +00:40:09,030 --> 00:40:11,210 +this will be + +525 +00:40:14,690 --> 00:40:16,550 +Twenty centimeters means two hundred millimeters, + +526 +00:40:16,730 --> 00:40:18,730 +which means five diopters. So this is two diopters + +527 +00:40:18,730 --> 00:40:21,590 +and this is five diopters. The distance between + +528 +00:40:21,590 --> 00:40:23,610 +them is supposed to be seventy centimeters because + +529 +00:40:23,610 --> 00:40:26,490 +the focal length is two hundred millimeters and + +530 +00:40:26,490 --> 00:40:28,750 +five hundred millimeters, which means seven + +531 +00:40:28,750 --> 00:40:30,010 +hundred millimeters, which means seventy + +532 +00:40:30,010 --> 00:40:31,910 +centimeters. There must be a difference between + +533 +00:40:31,910 --> 00:40:36,150 +them to get a Keplerian telescope. To get a + +534 +00:40:36,150 --> 00:40:37,390 +Keplerian telescope. + +535 +00:40:40,190 --> 00:40:44,990 +Let's see the ruler.it will help me in this case + +536 +00:40:44,990 --> 00:41:00,090 +so we tried from 700ml we move it like this and + +537 +00:41:00,090 --> 00:41:04,530 +we bring the goal to zero and we bring here to + +538 +00:41:04,530 --> 00:41:05,710 +700ml + +539 +00:41:11,030 --> 00:41:14,590 +70 cm which is the total focal length of the first + +540 +00:41:14,590 --> 00:41:17,130 +lens, the objective and eyepiece of course our eye + +541 +00:41:17,130 --> 00:41:21,650 +should be here and the planet should be in this + +542 +00:41:21,650 --> 00:41:24,630 +direction here this lens is directed towards the + +543 +00:41:24,630 --> 00:41:28,290 +planet let's see the beam of ray coming from a + +544 +00:41:28,290 --> 00:41:37,970 +distant planet how does it work let's + +545 +00:41:37,970 --> 00:41:42,640 +reduce the intensity of the raysإذن الأشعة خرجت + +546 +00:41:42,640 --> 00:41:47,380 +parallel، دخلت parallel وخرجت parallel وبالتالي + +547 +00:41:47,380 --> 00:41:51,860 +هذا + +548 +00:41:51,860 --> 00:41:54,880 +a focal system، هذا Keplerian telescope، هذا + +549 +00:41:54,880 --> 00:41:59,980 +Keplerian telescope، بنقدر نعملor we build a + +550 +00:41:59,980 --> 00:42:03,460 +Keplerian telescope using plus two diopters and + +551 +00:42:03,460 --> 00:42:06,980 +plus + +552 +00:42:06,980 --> 00:42:09,460 +five diopters and leave a distance between them of + +553 +00:42:09,460 --> 00:42:12,480 +seventy centimeters now to calculate the + +554 +00:42:12,480 --> 00:42:15,480 +transference magnification we said that the + +555 +00:42:15,480 --> 00:42:17,800 +transference magnification is constant the + +556 +00:42:17,800 --> 00:42:20,020 +transference magnification is constant as long as + +557 +00:42:20,020 --> 00:42:22,020 +the transference magnification is constant there + +558 +00:42:22,020 --> 00:42:27,640 +is no need for me to keep takingI say U and V and + +559 +00:42:27,640 --> 00:42:32,620 +then I divide TM1 by U by V and then I get TM2 by + +560 +00:42:32,620 --> 00:42:35,940 +U by V and I multiply TM1 by TM2 Scientists found + +561 +00:42:35,940 --> 00:42:39,780 +a very simple equation for transference + +562 +00:42:39,780 --> 00:42:49,080 +magnification for telescopes Transference + +563 +00:42:49,080 --> 00:42:53,140 +magnification is the power of the eyepiece over + +564 +00:42:53,140 --> 00:42:58,320 +the power of the objectويسوء الـ focal length بتاع + +565 +00:42:58,320 --> 00:43:02,100 +الـ eyepiece على ال focal length بتاع الobjective + +566 +00:43:02,100 --> 00:43:06,880 +بتاع الobjective إذا ل transfers magnification ال + +567 +00:43:06,880 --> 00:43:09,580 +power بتاعة ال eyepiece على ال power بتاعة ال + +568 +00:43:09,580 --> 00:43:10,060 +objective + +569 +00:43:13,100 --> 00:43:16,280 +No, sorry, this is the angular magnification, this + +570 +00:43:16,280 --> 00:43:18,720 +is the angular magnification The angular + +571 +00:43:18,720 --> 00:43:23,220 +magnification is not the axis that transfers + +572 +00:43:23,220 --> 00:43:25,480 +magnification, we need to correct it here The + +573 +00:43:25,480 --> 00:43:29,800 +angular magnification equals the power of the + +574 +00:43:29,800 --> 00:43:33,840 +eyepiece over the power of the objective Or equals + +575 +00:43:33,840 --> 00:43:36,980 +the focal lengththe power of the objective over + +576 +00:43:36,980 --> 00:43:39,920 +the focal length of the eyepiece this is angular + +577 +00:43:39,920 --> 00:43:45,260 +magnification now for transverse magnification for + +578 +00:43:45,260 --> 00:43:47,780 +transverse magnification it is equal to the + +579 +00:43:47,780 --> 00:43:54,080 +opposite the power of the objective over + +580 +00:43:54,080 --> 00:44:00,740 +the power of the eyepiece and + +581 +00:44:00,740 --> 00:44:08,890 +it is equal toThe focal length of the eyepiece on + +582 +00:44:08,890 --> 00:44:16,650 +the focal length of the object It + +583 +00:44:16,650 --> 00:44:19,230 +is very important to make sure of the type of + +584 +00:44:19,230 --> 00:44:23,370 +magnification So the magnification here for + +585 +00:44:23,370 --> 00:44:26,630 +transfers magnification I will give it a different + +586 +00:44:26,630 --> 00:44:26,630 +color + +587 +00:44:34,280 --> 00:44:37,320 +Version's calculation without any calculations + +588 +00:45:08,490 --> 00:45:11,630 +so the angular magnification is the power of the + +589 +00:45:11,630 --> 00:45:15,210 +eyepiece over the power of the objective or the + +590 +00:45:15,210 --> 00:45:17,390 +focal length of the objective over the focal + +591 +00:45:17,390 --> 00:45:19,910 +length of the eyepiece for the transverse + +592 +00:45:19,910 --> 00:45:22,410 +magnification it is exactly the opposite, the + +593 +00:45:22,410 --> 00:45:23,930 +position becomes the lowest and the lowest becomes + +594 +00:45:23,930 --> 00:45:25,730 +the highest, that is, the power of the objective + +595 +00:45:25,730 --> 00:45:28,850 +over the power of the eyepiece or the focal length + +596 +00:45:28,850 --> 00:45:30,890 +of the eyepiece over the focal length of the + +597 +00:45:30,890 --> 00:45:33,930 +objective the opposite of magnification is the + +598 +00:45:33,930 --> 00:45:35,370 +transverse magnification + +599 +00:45:38,400 --> 00:45:53,380 +and this is known to us since a long time ago now + +600 +00:45:53,380 --> 00:45:58,740 +there is a third thing + +601 +00:45:58,740 --> 00:46:05,220 +that transfers magnification is equal to one over + +602 +00:46:05,220 --> 00:46:06,940 +the angular magnification + +603 +00:46:14,190 --> 00:46:14,970 +Also, + +604 +00:46:18,790 --> 00:46:25,890 +the angular magnification is + +605 +00:46:25,890 --> 00:46:31,410 +equal to 1 over the transverse magnification Both + +606 +00:46:31,410 --> 00:46:34,590 +are confused with each other, but we will give + +607 +00:46:34,590 --> 00:46:41,600 +them a loan to clarify the picturetransfers + +608 +00:46:41,600 --> 00:46:45,720 +magnification I can get it by powers and I can get + +609 +00:46:45,720 --> 00:46:49,320 +it by focal length or I can get it if I know + +610 +00:46:49,320 --> 00:46:51,940 +angular magnification I can say transfers + +611 +00:46:51,940 --> 00:46:54,040 +magnification is converted to angular + +612 +00:46:54,040 --> 00:46:58,060 +magnification so these are many equations in + +613 +00:46:58,060 --> 00:47:02,440 +magnification I can use any one of them and + +614 +00:47:02,440 --> 00:47:07,180 +inshallah in this lecture we will take examples on + +615 +00:47:07,690 --> 00:47:11,350 +the method of calculation or practical examples of + +616 +00:47:11,350 --> 00:47:15,990 +calculation of magnification of these telescopes, + +617 +00:47:16,250 --> 00:47:18,690 +whether the Galilean telescope or the Keplerian + +618 +00:47:18,690 --> 00:47:21,790 +telescope. The last thing I want to say is that + +619 +00:47:21,790 --> 00:47:29,710 +our picture is reversed in .. + +620 +00:47:29,710 --> 00:47:34,290 +our picture is reversed in the telescope which is + +621 +00:47:34,290 --> 00:47:35,750 +the Keplerian telescope + +622 +00:47:38,560 --> 00:47:42,460 +وهدا مش مشكلة كبيرة، بتم وضع برزمات داخل ال + +623 +00:47:42,460 --> 00:47:48,300 +telescope اللي تعدل الصورة و بتعمل على يعني انها + +624 +00:47:48,300 --> 00:47:52,420 +تخلي الصورة معتدلة و ليست inverted، و ليست + +625 +00:47:52,420 --> 00:47:56,000 +inverted، فبالتالي هذا القضية For a focal system, + +626 +00:47:56,320 --> 00:47:59,340 +telescopes such as the Galilean and Keplerian + +627 +00:47:59,340 --> 00:48:02,790 +telescope, the focal point of objective lensand + +628 +00:48:02,790 --> 00:48:06,070 +the focal point of the ocular lens are in the same + +629 +00:48:06,070 --> 00:48:06,510 +position + +630 +00:48:25,860 --> 00:48:28,700 +Each form of telescope has advantages and + +631 +00:48:28,700 --> 00:48:35,980 +disadvantages The + +632 +00:48:35,980 --> 00:48:38,540 +advantage of Galilean telescope is that it + +633 +00:48:38,540 --> 00:48:40,360 +produces an upright image + +634 +00:48:45,870 --> 00:48:49,270 +يعني الصورة معتادة تاني حاجة ال telescope short + +635 +00:48:49,270 --> 00:48:53,570 +يعني قصير و هذا يعني بيخليه ممكن يوضع في الجيبة + +636 +00:48:53,570 --> 00:48:56,970 +ممكن يوضع في شانطة صغيرة إلى آخرين then telescope + +637 +00:48:56,970 --> 00:49:01,170 +these features make Galilean telescope popular as + +638 +00:49:01,170 --> 00:49:04,410 +spectacle mounted ممكن يتثبت على النضارة ممكن + +639 +00:49:04,410 --> 00:49:11,770 +يتثبت على النضارة لو شفنا هنا spectacle + +640 +00:49:17,620 --> 00:49:21,100 +Mounted Galilean Telescope + +641 +00:49:30,320 --> 00:49:32,860 +This is a Galilean telescope fixed on glasses + +642 +00:49:32,860 --> 00:49:39,040 +until people or people who suffer from low vision + +643 +00:49:39,040 --> 00:49:41,900 +for example, or they want to fix it for the + +644 +00:49:41,900 --> 00:49:44,280 +purpose of work for example, some people who work + +645 +00:49:44,280 --> 00:49:49,300 +in correction or fixing watches or work in gold + +646 +00:49:49,300 --> 00:49:54,040 +and welding gold and jewels and so onطبعا لأنه + +647 +00:49:54,040 --> 00:49:57,120 +قصير بقدرش أثبت capillary telescope لإنه هيكون + +648 +00:49:57,120 --> 00:50:04,360 +طويل جدا اذا هذا يعتبر advantage وشيء مميز لاللي + +649 +00:50:04,360 --> 00:50:10,600 +هو ال Galilean telescope أيضا أيضا يعني يعتبر يعني + +650 +00:50:10,600 --> 00:50:14,280 +هذا .. هذه الميزة بتخليه يعني spectacle mounted + +651 +00:50:14,280 --> 00:50:18,760 +visual aid أو surgical loops surgical loops استخدم + +652 +00:50:18,760 --> 00:50:19,700 +في العمليات + +653 +00:50:34,650 --> 00:50:37,810 +Hai surgical loops أيضا بلبسها الجراع عشان يكبر + +654 +00:50:37,810 --> 00:50:44,630 +المنطقة اللي هو بيعمل فيها و هاد طبعا مهم جدا و + +655 +00:50:44,630 --> 00:50:48,230 +بتميز ال Galilean telescope لإنه قصير، اذا upright + +656 +00:50:48,230 --> 00:50:51,470 +image و shorter Conversely, the Keplerian + +657 +00:50:51,470 --> 00:50:55,010 +telescope uses light more efficiently making faint + +658 +00:50:55,010 --> 00:50:58,590 +objects easier to see احنا إذا رجعنا للصورة بتاعة + +659 +00:50:58,590 --> 00:51:01,980 +ال Keplerian telescopeThis is a plus lens, which + +660 +00:51:01,980 --> 00:51:04,360 +is a converging lens, and this is also a + +661 +00:51:04,360 --> 00:51:08,720 +converging lens. Therefore, all the rays that come + +662 +00:51:08,720 --> 00:51:11,640 +from the distant planet, which are usually very + +663 +00:51:11,640 --> 00:51:14,700 +light rays, that is, there are planets hundreds + +664 +00:51:14,700 --> 00:51:18,750 +and millions of light years away from us,An + +665 +00:51:18,750 --> 00:51:21,510 +astronomical number in the distance, so the light + +666 +00:51:21,510 --> 00:51:25,110 +coming from it is very light, so the telescope + +667 +00:51:25,110 --> 00:51:27,310 +that I look at has all its lenses connected, + +668 +00:51:27,490 --> 00:51:30,050 +because they collect rays, and therefore all the + +669 +00:51:30,050 --> 00:51:32,830 +rays that are collected line up inside the eye of + +670 +00:51:32,830 --> 00:51:34,670 +the observer, inside the eye of the observer, + +671 +00:51:35,050 --> 00:51:40,390 +while in the Galilean telescopeفي عدسة مشتتة عندى + +672 +00:51:40,390 --> 00:51:44,630 +في عدسة مشتتة فبالتالي ممكن افقد جزء من هذا الضوء + +673 +00:51:44,630 --> 00:51:47,870 +جزء من هذا الضوء اذا conversely the Keplerian + +674 +00:51:47,870 --> 00:51:52,390 +telescope uses light more efficiently يعني بيستخدم + +675 +00:51:52,390 --> 00:51:56,550 +الضوء او الضوء اللى داخل فيه بيستفيد منه بشكل اكثر + +676 +00:51:56,550 --> 00:52:00,730 +كفاءة لإنه عدساته كلها plus عدساته كلها plus + +677 +00:52:00,730 --> 00:52:04,210 +فبالتالي هذه القضية هذا in the Keplerian design + +678 +00:52:04,210 --> 00:52:11,920 +all the light all the lightall the light from an + +679 +00:52:11,920 --> 00:52:14,880 +object point collected by the objective lens + +680 +00:52:14,880 --> 00:52:18,400 +ultimately in the end enters the eye because all + +681 +00:52:18,400 --> 00:52:21,880 +the lenses are lost in the Galilean design some of + +682 +00:52:21,880 --> 00:52:25,960 +the light collected by objective is lost why is it + +683 +00:52:25,960 --> 00:52:30,200 +lost? because the other lensesالعدسة الأولى جمعت + +684 +00:52:30,200 --> 00:52:33,980 +في ال Galilean telescope، العدسة الأولى جمعت + +685 +00:52:33,980 --> 00:52:36,800 +والتانية شتتت، فبالتالي مش كل الضوء بيدخل في + +686 +00:52:36,800 --> 00:52:41,040 +العين، بعضه بيتشتت، مش مرسوم هنا عندى، بس بعضه + +687 +00:52:41,040 --> 00:52:41,960 +بيتشتت + +688 +00:52:44,670 --> 00:52:49,770 +All the light from an object point collected by + +689 +00:52:49,770 --> 00:52:53,230 +the objective lens ultimately enters the eye. In + +690 +00:52:53,230 --> 00:52:56,770 +the Galilean design, some of the light collected + +691 +00:52:56,770 --> 00:53:02,850 +by the objective lens is lost.Because astronomical + +692 +00:53:02,850 --> 00:53:06,390 +observation is largely a matter of making faint + +693 +00:53:06,390 --> 00:53:10,910 +star visible, the observations of space science + +694 +00:53:10,910 --> 00:53:15,450 +and astronomy + +695 +00:53:29,480 --> 00:53:34,340 +All astronomical telescopes are of the Keplerian + +696 +00:53:34,340 --> 00:53:37,450 +designWhy? Because the Keplerian design is two + +697 +00:53:37,450 --> 00:53:40,810 +plus lenses, there are no overlapping lenses. The + +698 +00:53:40,810 --> 00:53:44,910 +inverted image, which is the flaw of the Keplerian + +699 +00:53:44,910 --> 00:53:48,370 +telescope. The inverted image is not a problem. It + +700 +00:53:48,370 --> 00:53:52,970 +is not a problem for astronomers, but inverting + +701 +00:53:52,970 --> 00:53:55,490 +prisms are placed inside the telescope. + +702 +00:53:58,070 --> 00:54:03,550 +Common binoculars are handheld binoculars.Visual + +703 +00:54:03,550 --> 00:54:07,110 +aids are usually of the Keplerian design. + +704 +00:54:07,350 --> 00:54:09,250 +Occasionally there are some visual aids, the + +705 +00:54:09,250 --> 00:54:12,290 +visual aids that are carried by hand have a + +706 +00:54:12,290 --> 00:54:14,350 +Keplerian design, that is, the two lenses that + +707 +00:54:14,350 --> 00:54:19,810 +have a plus, and sometimes the lenses have a + +708 +00:54:19,810 --> 00:54:25,590 +Keplerian design. And this concludes the lecture + +709 +00:54:25,590 --> 00:54:29,110 +on the focal systems. God bless you and peace be + +710 +00:54:29,110 --> 00:54:29,450 +upon you. + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XdNOzpeZdqw_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XdNOzpeZdqw_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..9b1ee892b65dbbc134ed80d7597fedd137c7787b --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XdNOzpeZdqw_raw.srt @@ -0,0 +1,1820 @@ +1 +00:00:02,280 --> 00:00:04,400 +بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم + +2 +00:00:04,400 --> 00:00:09,360 +تحدثنا في المرة الماضية عن ال transfers + +3 +00:00:09,360 --> 00:00:10,400 +magnification تحدثنا في المرة الماضية عن ال + +4 +00:00:10,400 --> 00:00:10,640 +transfers magnification تحدثنا في المرة الماضية عن + +5 +00:00:10,640 --> 00:00:11,660 +ال transfers magnification تحدثنا في المرة الماضية + +6 +00:00:11,660 --> 00:00:11,740 +عن ال transfers magnification تحدثنا في المرة + +7 +00:00:11,740 --> 00:00:13,140 +الماضية عن ال transfers magnification تحدثنا في + +8 +00:00:13,140 --> 00:00:13,160 +المرة الماضية عن ال transfers magnification تحدثنا + +9 +00:00:13,160 --> 00:00:13,160 +في المرة الماضية عن ال transfers magnification + +10 +00:00:13,160 --> 00:00:13,160 +تحدثنا في المرة الماضية عن ال transfers + +11 +00:00:13,160 --> 00:00:13,160 +magnification تحدثنا في المرة الماضية عن ال + +12 +00:00:13,160 --> 00:00:13,800 +transfers magnification تحدثنا في المرة الماضية عن + +13 +00:00:13,800 --> 00:00:14,460 +ال transfers magnification تحدثنا في المرة الماضية + +14 +00:00:14,460 --> 00:00:15,320 +عن ال transfers magnification تحدثنا في المرة + +15 +00:00:15,320 --> 00:00:21,340 +الماضية عن ال transfers magnification تحدثنا في + +16 +00:00:21,340 --> 00:00:27,740 +المرة الماضية عن ال transfers magnification تحدثنا + +17 +00:00:27,740 --> 00:00:32,970 +في المرة الماضية عنthat everything above the + +18 +00:00:32,970 --> 00:00:35,550 +optical axis we give it a positive sign and + +19 +00:00:35,550 --> 00:00:39,910 +everything below the optical axis we give it a + +20 +00:00:39,910 --> 00:00:44,770 +negative sign and we also said that when I want to + +21 +00:00:44,770 --> 00:00:48,630 +characterize the transference magnification I put + +22 +00:00:48,630 --> 00:00:53,910 +the X mark, the X means when we say X minus half, + +23 +00:00:54,330 --> 00:00:59,380 +the X means the magnificationالminus بترمز إلا إن + +24 +00:00:59,380 --> 00:01:04,740 +الصورة مجلوبة و القدر هنا بيرمز لي لكمية ال + +25 +00:01:04,740 --> 00:01:07,700 +magnification يعني لما أقول x minus نص يعني الصورة + +26 +00:01:07,700 --> 00:01:12,480 +مجلوبة لإشارة minus و نص يعني نص ارتفاعها يساوي نص + +27 +00:01:12,480 --> 00:01:16,020 +ارتفاع ال object وحكينا أيضا أكدنا على إن + +28 +00:01:16,020 --> 00:01:19,500 +transfers magnification رغم إن كلمة magnification + +29 +00:01:19,500 --> 00:01:24,520 +تعني التكبيرإلا إن ممكن هي تعني التكبير أو التصغير + +30 +00:01:24,520 --> 00:01:27,980 +لو لجيت الرقم هنا واحد، معناته مافي عندي لا تكبير + +31 +00:01:27,980 --> 00:01:33,330 +ولا تصغير، معناته الصورةIrtifaaha يساوي ارتفاع + +32 +00:01:33,330 --> 00:01:38,050 +الجسم. الصورة يساوي .. ارتفاعها يساوي ارتفاع الجسم + +33 +00:01:38,050 --> 00:01:42,750 +لو أقل من واحد معناته فيه تصغير ولم .. لو أكتر من + +34 +00:01:42,750 --> 00:01:47,770 +واحد بيكون عندي تكبير في حجم الصورة أو في ارتفاع + +35 +00:01:47,770 --> 00:01:53,110 +الصورة مقارنة مع ارتفاع الجسم. Generally the + +36 +00:01:53,110 --> 00:01:57,280 +multiplication sign اللي هي ال Xis used to + +37 +00:01:57,280 --> 00:02:00,960 +indicate magnification, we use it to indicate + +38 +00:02:00,960 --> 00:02:05,840 +magnification, to indicate magnification The last + +39 +00:02:05,840 --> 00:02:08,200 +thing we remember from the previous lecture is + +40 +00:02:08,200 --> 00:02:10,620 +that for transfers, magnification is not + +41 +00:02:10,620 --> 00:02:13,560 +distinguished because this is a percentage and a + +42 +00:02:13,560 --> 00:02:16,560 +percentage is not distinguished We distinguish + +43 +00:02:16,560 --> 00:02:19,500 +heights with centimeters or meters or millimeters + +44 +00:02:20,520 --> 00:02:24,020 +When we calculate the transfers magnification, it + +45 +00:02:24,020 --> 00:02:26,700 +means that the picture here in this example is + +46 +00:02:26,700 --> 00:02:29,600 +half the height of the object and upside down But + +47 +00:02:29,600 --> 00:02:31,340 +when we say half the height of the object, we do + +48 +00:02:31,340 --> 00:02:34,820 +not distinguish with this, the ratio does not + +49 +00:02:34,820 --> 00:02:38,000 +distinguish, does not distinguish Today we will + +50 +00:02:38,000 --> 00:02:42,040 +learn about something new in geometrical optics + +51 +00:02:42,040 --> 00:02:46,120 +that helps us or facilitates calculation of + +52 +00:02:46,120 --> 00:02:48,640 +transfers magnification and facilitates other + +53 +00:02:48,640 --> 00:02:52,800 +thingsNow, we need to know that every optical + +54 +00:02:52,800 --> 00:02:59,820 +system exists there are many references to this + +55 +00:02:59,820 --> 00:03:02,920 +optical system that help us to understand the + +56 +00:03:02,920 --> 00:03:05,420 +relation between the image and the object in the + +57 +00:03:05,420 --> 00:03:08,020 +optical system we said that the light leaves the + +58 +00:03:08,020 --> 00:03:11,220 +object and passes through the optical system and + +59 +00:03:11,220 --> 00:03:14,460 +this optical system forms an image of what is in + +60 +00:03:14,460 --> 00:03:18,040 +the space of this object so, the light leaves the + +61 +00:03:18,040 --> 00:03:20,970 +objecttowards the formation of the image, of + +62 +00:03:20,970 --> 00:03:24,170 +course with the help of the optical system Now, to + +63 +00:03:24,170 --> 00:03:26,990 +know the relationship between the body and the + +64 +00:03:26,990 --> 00:03:30,570 +optical system and the image and their locations + +65 +00:03:30,570 --> 00:03:34,610 +in space, we use a lot of reference things The + +66 +00:03:34,610 --> 00:03:38,030 +first reference thing that came to us was the + +67 +00:03:38,030 --> 00:03:42,190 +optical axis, the optical axis One might ask, how + +68 +00:03:42,190 --> 00:03:44,530 +is this considered a reference thing? We say, yes, + +69 +00:03:44,810 --> 00:03:48,720 +the heights are measured from the optical axisSo, + +70 +00:03:48,820 --> 00:03:50,360 +the height of the body, we say from the highest + +71 +00:03:50,360 --> 00:03:53,020 +point in the body, we drop a column when we reach + +72 +00:03:53,020 --> 00:03:55,620 +the optical axis, which means the point that ends + +73 +00:03:55,620 --> 00:03:58,900 +with us, the optical axis. Also, the height of the + +74 +00:03:58,900 --> 00:04:01,280 +image is measured from the optical axis, is + +75 +00:04:01,280 --> 00:04:04,140 +measured from the optical axis. So, the height of + +76 +00:04:04,140 --> 00:04:06,520 +the image or the height of the body means a + +77 +00:04:06,520 --> 00:04:09,580 +comparison or departure from the optical axis, + +78 +00:04:09,740 --> 00:04:13,200 +which means the point of addiction or the point of + +79 +00:04:13,200 --> 00:04:15,900 +addiction. Now we want to get to know today about + +80 +00:04:18,200 --> 00:04:21,060 +another reference point, another reference point + +81 +00:04:21,060 --> 00:04:24,320 +helps us in solving our problems we say most + +82 +00:04:24,320 --> 00:04:28,880 +optical systems have a pair of nodal points which + +83 +00:04:28,880 --> 00:04:34,780 +means most optical systems have reference points + +84 +00:04:34,780 --> 00:04:38,560 +which they call nodal points or nodal points or + +85 +00:04:38,560 --> 00:04:44,200 +nodal points so I have a pair of nodal points, + +86 +00:04:44,500 --> 00:04:48,450 +these nodal points existIn most of the optical + +87 +00:04:48,450 --> 00:04:52,670 +systems, their location is on the optical axis, on + +88 +00:04:52,670 --> 00:04:55,890 +the optical axis We say as the following, try to + +89 +00:04:55,890 --> 00:04:59,630 +get the drawing The + +90 +00:04:59,630 --> 00:05:03,050 +point that I point out, let's go to the magnifying + +91 +00:05:03,050 --> 00:05:06,180 +glassThis point that I'm pointing at is called + +92 +00:05:06,180 --> 00:05:09,760 +anterior nodal point and this point that I'm + +93 +00:05:09,760 --> 00:05:12,780 +pointing at is called posterior nodal point. Of + +94 +00:05:12,780 --> 00:05:16,280 +course anterior is closer to the object, it's on + +95 +00:05:16,280 --> 00:05:18,260 +the front surface of the lens and on the back + +96 +00:05:18,260 --> 00:05:22,890 +surface of the lensI have anterior nodal point and + +97 +00:05:22,890 --> 00:05:50,490 +posterior nodal point + +98 +00:05:50,660 --> 00:05:53,740 +Hadola the two nodal points مابنفع يكونوا لا فوق + +99 +00:05:53,740 --> 00:05:57,340 +ال optical axis ولا تحت ال optical axis لازم + +100 +00:05:57,340 --> 00:06:03,490 +يكونوا على ال optical axis و أحيانا .. أحياناIt + +101 +00:06:03,490 --> 00:06:06,830 +becomes overlapping, overlapping What does + +102 +00:06:06,830 --> 00:06:08,930 +overlapping mean? We apply the anterior and + +103 +00:06:08,930 --> 00:06:11,530 +posterior nodal points to each other and they + +104 +00:06:11,530 --> 00:06:15,890 +become one point If they become one point, I will + +105 +00:06:15,890 --> 00:06:18,510 +still consider them two points, two points, + +106 +00:06:19,050 --> 00:06:22,010 +despite their overlapping each other A person may + +107 +00:06:22,010 --> 00:06:25,970 +wonder how can I consider them two points, in + +108 +00:06:25,970 --> 00:06:30,910 +other wordsI want to look at them as two points, + +109 +00:06:31,310 --> 00:06:34,550 +although they are similar to each other and seem + +110 +00:06:34,550 --> 00:06:38,490 +to be one point To approximate the concept, we + +111 +00:06:38,490 --> 00:06:41,230 +need to take an example from everyday life If we + +112 +00:06:41,230 --> 00:06:44,670 +say that a person specialized in vision + +113 +00:06:44,670 --> 00:06:48,350 +specialists and became a vision specialist after + +114 +00:06:48,350 --> 00:06:52,190 +he finished his specializationI mean he didn't + +115 +00:06:52,190 --> 00:06:54,530 +find a job, so he said I want to get another + +116 +00:06:54,530 --> 00:06:57,350 +specialization, so he went to specialize in + +117 +00:06:57,350 --> 00:07:00,470 +computer engineering for example This person + +118 +00:07:00,470 --> 00:07:02,490 +became with him two specializations Now this + +119 +00:07:02,490 --> 00:07:05,470 +person is one person, but when he attends a + +120 +00:07:05,470 --> 00:07:07,990 +conference, no, the visionists attend with his + +121 +00:07:07,990 --> 00:07:11,010 +attribute that he is a vision specialist And when + +122 +00:07:11,010 --> 00:07:13,410 +he attends a conference in computer engineering + +123 +00:07:13,410 --> 00:07:15,210 +and programming, he attends with his attribute + +124 +00:07:15,210 --> 00:07:17,410 +that he is a computer engineer, that is, he is a + +125 +00:07:17,410 --> 00:07:19,950 +person, but inside himinside it has two + +126 +00:07:19,950 --> 00:07:23,850 +characteristics, which are at the same time visual + +127 +00:07:23,850 --> 00:07:26,790 +characteristics and at the same time engineer, + +128 +00:07:27,390 --> 00:07:31,210 +computer and programming and so on Also when two + +129 +00:07:31,210 --> 00:07:34,830 +points match each other, which are the anterior + +130 +00:07:34,830 --> 00:07:37,810 +nodal point and the posterior nodal point I keep + +131 +00:07:37,810 --> 00:07:41,050 +telling them that I have an anterior nodal point + +132 +00:07:41,050 --> 00:07:44,290 +and the posterior nodal point matches itو هذا + +133 +00:07:44,290 --> 00:07:49,470 +الكلام إله فائدة، هنجيها بالتدريج، هنجيها بالتدريج + +134 +00:07:49,470 --> 00:07:54,450 +طيب، ممكن إنسان يتساءل، يقول طيب إحنا الآن يعني + +135 +00:07:54,450 --> 00:07:59,330 +وصلت معلومة إنه في عندي زوج من ال nodal point، زوج + +136 +00:07:59,330 --> 00:08:03,890 +من ال nodal point وإنه occasionally أحيانا ال + +137 +00:08:03,890 --> 00:08:06,850 +nodal points overlap، بيجوا على بعضهم البعض, + +138 +00:08:07,170 --> 00:08:10,550 +appearing as single point, appearing as single + +139 +00:08:10,550 --> 00:08:15,880 +point، نطلع من العرضoccasionally the nodal points + +140 +00:08:15,880 --> 00:08:20,740 +overlap appearing as a single point but + +141 +00:08:20,740 --> 00:08:24,600 +technically من ناحية تقنية they remain a pair of + +142 +00:08:24,600 --> 00:08:28,240 +overlapping nodal points يعني بيظلوا زوج من النقاط + +143 +00:08:28,240 --> 00:08:31,640 +اللي جاية على بعضها و بعتبرهم مش أنهم صاروا نقطة + +144 +00:08:31,640 --> 00:08:36,640 +واحدة طيب يا ترى إيش الصفة المميزة .. إيش الصفة + +145 +00:08:36,640 --> 00:08:42,560 +المميزة لهدولة ال nodal pointsلهدولة ال two nodal + +146 +00:08:42,560 --> 00:08:45,440 +points ال anterior و ال posterior nodal points هذا + +147 +00:08:45,440 --> 00:08:50,280 +هنجيله بالتدريج بنقول أول صفة من صفات ال nodal + +148 +00:08:50,280 --> 00:08:54,440 +points the nodal points are always on the optical + +149 +00:08:54,440 --> 00:08:59,360 +axis and have an important property and have an + +150 +00:08:59,360 --> 00:09:03,120 +important property يا ترى إيش الصفة المهمة اللي + +151 +00:09:03,120 --> 00:09:08,550 +ميزت ال nodal points على عنThe rest of the points + +152 +00:09:08,550 --> 00:09:12,720 +go back to the magnifying glass.We want to take an + +153 +00:09:12,720 --> 00:09:17,140 +example, a point from the object, point A, and its + +154 +00:09:17,140 --> 00:09:20,280 +shape which is a condition, as we used to say at + +155 +00:09:20,280 --> 00:09:23,060 +the top of a candle Of course, we will give an + +156 +00:09:23,060 --> 00:09:27,200 +example on point A, and this applies to all points + +157 +00:09:27,200 --> 00:09:30,360 +of the object We want to say the story or tell the + +158 +00:09:30,360 --> 00:09:34,780 +story with A, and this also applies to all stories + +159 +00:09:34,780 --> 00:09:38,200 +for all points of the object Point A starts from + +160 +00:09:38,200 --> 00:09:41,340 +itthousands and hundreds of thousands and millions + +161 +00:09:41,340 --> 00:09:45,220 +of rays in all directions there is a group of + +162 +00:09:45,220 --> 00:09:48,080 +rays, let's say one hundred thousand rays will + +163 +00:09:48,080 --> 00:09:51,060 +enter the lens these one hundred thousand rays, + +164 +00:09:51,840 --> 00:09:54,620 +which are all coming from A, will be collected by + +165 +00:09:54,620 --> 00:09:59,090 +the lens and form A conditionUntil now, there was + +166 +00:09:59,090 --> 00:10:02,510 +no mention of nodal points From the 100,000 rays, + +167 +00:10:03,170 --> 00:10:07,630 +there will be one direction that is directed + +168 +00:10:07,630 --> 00:10:11,390 +towards the anterior nodal point Scientists found + +169 +00:10:11,390 --> 00:10:14,310 +in the experiment that this ray will come out of + +170 +00:10:14,310 --> 00:10:17,710 +the posterior nodal point and go to form an A + +171 +00:10:17,710 --> 00:10:21,570 +-shape You can say, what's the difference? The 100 + +172 +00:10:21,570 --> 00:10:25,060 +,000 rays will enter the lensthey will enter the + +173 +00:10:25,060 --> 00:10:27,180 +lens and they will gather all of them, which means + +174 +00:10:27,180 --> 00:10:29,380 +that the ray that entered the lens from the front + +175 +00:10:29,380 --> 00:10:32,080 +surface will exit from the back surface after + +176 +00:10:32,080 --> 00:10:34,120 +breaking, after breaking the lens and leaving + +177 +00:10:34,120 --> 00:10:36,340 +which means that it contributes to the formation + +178 +00:10:36,340 --> 00:10:39,660 +of what is what condition we say yes, but the + +179 +00:10:39,660 --> 00:10:42,580 +difference is that this ray that was destined to + +180 +00:10:42,580 --> 00:10:45,960 +enter the anterior nodal point and exit from the + +181 +00:10:45,960 --> 00:10:49,800 +posterior nodal point this ray will make an angle + +182 +00:10:49,800 --> 00:10:53,660 +with the optical axis which is thetaequal to the + +183 +00:10:53,660 --> 00:10:57,600 +angle of exit of this ray after breaking it, of + +184 +00:10:57,600 --> 00:11:01,340 +course, which is equal to theta 2. We called it + +185 +00:11:01,340 --> 00:11:04,700 +theta 2. So theta, which is the angle of entry of + +186 +00:11:04,700 --> 00:11:08,780 +the ray coming from A and going to the anterior + +187 +00:11:08,780 --> 00:11:11,780 +nodal point, exits from the posterior nodal point + +188 +00:11:12,130 --> 00:11:17,270 +وبيروح هو منتهى لإي شرطة ده قولا واحدا بس الفرق .. + +189 +00:11:17,270 --> 00:11:21,430 +فرق هذا الشعاع .. هذا الشعاع خلينا نسمي الشعاع + +190 +00:11:21,430 --> 00:11:24,410 +scene تمام؟ هذا الشعاع scene لما بدخل في ال + +191 +00:11:24,410 --> 00:11:27,490 +anterior nodal point بيعمل زاوية مع ال optical + +192 +00:11:27,490 --> 00:11:31,150 +axis و هو نفس الشعاع scene لما بخرج من العدسة + +193 +00:11:31,150 --> 00:11:36,590 +تمام؟ و بيروح على إي شرطة بيعمل θ2Theta and theta2 + +194 +00:11:36,590 --> 00:11:40,950 +are equilateral angles .. equilateral angles If we + +195 +00:11:40,950 --> 00:11:45,070 +assume that the + +196 +00:11:45,070 --> 00:11:48,710 +anterior and posterior nodal points are the same I + +197 +00:11:48,710 --> 00:11:51,130 +will keep saying .. if we come to describe here in + +198 +00:11:51,130 --> 00:11:53,370 +the science of geometrical optics, we say the ray + +199 +00:11:53,370 --> 00:11:58,110 +scene .. the ray scene that started from point A + +200 +00:11:58,950 --> 00:12:02,510 +entered the anterior nodal point and came out of + +201 +00:12:02,510 --> 00:12:04,670 +the posterior nodal point. So in the story we will + +202 +00:12:04,670 --> 00:12:08,070 +talk about two points, although it is okay, I mean + +203 +00:12:08,070 --> 00:12:12,050 +it stayed .. I mean it went through geographically + +204 +00:12:12,050 --> 00:12:14,930 +or spatially through one point, but these two + +205 +00:12:14,930 --> 00:12:18,230 +points must be talked about as two points adjacent + +206 +00:12:18,230 --> 00:12:23,400 +to each other. So what did this ray come out of?و + +207 +00:12:23,400 --> 00:12:26,320 +عبر عبر ال anterior nodal point و منها لل + +208 +00:12:26,320 --> 00:12:28,740 +posterior nodal point اللي هم في نفس المكان + +209 +00:12:28,740 --> 00:12:33,200 +الفراغي تمام؟ و دالوا مكملوا طريقه إلى اي شرطة + +210 +00:12:33,200 --> 00:12:38,360 +ساعتها theta و theta تنين تساوي بعض بالتقابل + +211 +00:12:38,360 --> 00:12:41,430 +بالتقابلAnd this distinguishes the anterior and + +212 +00:12:41,430 --> 00:12:44,370 +posterior nodal points, whether the anterior is + +213 +00:12:44,370 --> 00:12:46,830 +aligned or not aligned, that is, in this drawing, + +214 +00:12:47,450 --> 00:12:49,950 +the anterior nodal point and the posterior nodal + +215 +00:12:49,950 --> 00:12:53,290 +point are not aligned with each other, and here + +216 +00:12:53,290 --> 00:12:56,710 +the anterior nodal point and the posterior nodal + +217 +00:12:56,710 --> 00:13:01,010 +point are not aligned, that is, aligned in the + +218 +00:13:01,010 --> 00:13:03,810 +first drawing, not aligned, here aligned with each + +219 +00:13:03,810 --> 00:13:07,590 +other, in both cases, here this angle equals this + +220 +00:13:07,590 --> 00:13:11,200 +angle,entrance of the beam to the optical system, + +221 +00:13:11,800 --> 00:13:14,840 +the angle it makes with the optical axis, is equal + +222 +00:13:14,840 --> 00:13:18,340 +to the angle of exit, also with the optical axis. + +223 +00:13:18,520 --> 00:13:22,100 +So θ is equal to θ2. And even if they don't match, + +224 +00:13:22,500 --> 00:13:26,700 +θ is equal to θ2. θ is the angle between the beam + +225 +00:13:26,700 --> 00:13:31,600 +that fell on the lens and the optical axis, and θ2 + +226 +00:13:31,600 --> 00:13:34,020 +is the beam that came out of the lens with the + +227 +00:13:34,020 --> 00:13:38,060 +optical axis.Okay, until now, the speech was + +228 +00:13:38,060 --> 00:13:40,760 +excellent, but we did not understand what can be + +229 +00:13:40,760 --> 00:13:45,000 +gained from this case What can be gained from this + +230 +00:13:45,000 --> 00:13:48,320 +case? To say what can be gained from the case of + +231 +00:13:48,320 --> 00:13:53,140 +equal entry and exit angleTo the rays, only the + +232 +00:13:53,140 --> 00:13:56,580 +rays, only the rays that enter the anterior nodal + +233 +00:13:56,580 --> 00:13:59,960 +point and exit the posterior nodal point make an + +234 +00:13:59,960 --> 00:14:03,100 +even angle The rest of the rays that do not enter + +235 +00:14:03,100 --> 00:14:06,300 +the anterior nodal point will not .. that is, the + +236 +00:14:06,300 --> 00:14:08,940 +exit angle will differ from the entry angle Okay, + +237 +00:14:09,040 --> 00:14:11,520 +what does this mean when we talk about it? Also + +238 +00:14:11,520 --> 00:14:16,160 +point B, point B sends millions of rays in all + +239 +00:14:16,160 --> 00:14:19,860 +directions It will be the share of rays one by one + +240 +00:14:19,860 --> 00:14:23,630 +onlyto enter the anterior nodal point, then it + +241 +00:14:23,630 --> 00:14:26,190 +will make a certain angle, let's call it the angle + +242 +00:14:26,190 --> 00:14:29,710 +of the arc, for example, an arc will come out, and + +243 +00:14:29,710 --> 00:14:34,230 +two arcs will be equal, the point, for example, G, + +244 +00:14:34,550 --> 00:14:39,070 +present, for example, in the object, the point G, + +245 +00:14:39,390 --> 00:14:43,770 +will send its rays in all directions, and one of + +246 +00:14:43,770 --> 00:14:48,600 +them will enter the anterior nodal pointملخص + +247 +00:14:48,600 --> 00:14:53,520 +الحكاية إنه كل شعاعة بغض النظر قادم من أي نقطة من + +248 +00:14:53,520 --> 00:14:58,380 +الجسم كل شعاعة بغض النظر قادم من أي نقطة من الجسم + +249 +00:14:58,380 --> 00:15:03,460 +داخل ال anterior nodal point هيخرج من ال posterior + +250 +00:15:03,460 --> 00:15:06,720 +nodal point ويروح يكوّن صورة النقطة اللي أتى منها + +251 +00:15:06,720 --> 00:15:10,990 +صورة النقطة اللي أتى منهاthe angle of entry and + +252 +00:15:10,990 --> 00:15:17,310 +exit are exactly equal let's + +253 +00:15:17,310 --> 00:15:20,710 +go back to point A we say point A there is one of + +254 +00:15:20,710 --> 00:15:23,230 +the rays that came out of it and entered the + +255 +00:15:23,230 --> 00:15:25,450 +optical system it was allowed to enter the + +256 +00:15:25,450 --> 00:15:27,930 +anterior nodal point and made an angle with the + +257 +00:15:27,930 --> 00:15:32,150 +optical axis theta now it came out of the + +258 +00:15:32,150 --> 00:15:35,150 +posterior nodal point and made theta 2 + +259 +00:15:37,640 --> 00:15:43,740 +Since θ is equal to θ2, as we said, then tan θ is + +260 +00:15:43,740 --> 00:15:48,800 +equal to tan θ2 Since these angles are equal, then + +261 +00:15:48,800 --> 00:15:52,500 +the shadow of θ is equal to the shadow of θ2 Well, + +262 +00:15:52,540 --> 00:15:55,260 +we know that the shadow is equal to the reciprocal + +263 +00:15:55,260 --> 00:15:58,400 +over the adjacent, this is the triangle of the + +264 +00:15:58,400 --> 00:16:01,400 +angle, this is the reciprocal, which is the height + +265 +00:16:01,400 --> 00:16:07,150 +of the bodyوالمجاور، المجاور اللي هي بعد الجسم عن + +266 +00:16:07,150 --> 00:16:10,610 +ال optical system اللي بيسموها object distance، + +267 +00:16:10,610 --> 00:16:14,900 +هنا object هي ..and object distance, so the shadow + +268 +00:16:14,900 --> 00:16:19,220 +of theta is object height over object distance so + +269 +00:16:19,220 --> 00:16:23,880 +tan theta is equal to tan theta 2, why? because if + +270 +00:16:23,880 --> 00:16:26,820 +this angle is 30 degrees and this angle is 30 + +271 +00:16:26,820 --> 00:16:30,580 +degrees for example, the shadow of 30 is equal to + +272 +00:16:30,580 --> 00:16:33,680 +the shadow of 30 and therefore, since theta is + +273 +00:16:33,680 --> 00:16:37,080 +equal to theta 2, then tan theta which is the + +274 +00:16:37,080 --> 00:16:39,920 +shadow of theta is equal to tan theta 2 which is + +275 +00:16:39,920 --> 00:16:44,210 +the shadow of theta 2طب إيش بدنا نعوض عن ذل فيتا، + +276 +00:16:44,210 --> 00:16:48,630 +بنقول ذل فيتا المقابل على المجاور، يعني ال object + +277 +00:16:48,630 --> 00:16:53,070 +head على ال object distance، object head على ال + +278 +00:16:53,070 --> 00:16:57,050 +object distance طيب و فيتا اتنين، فيتا اتنين ذلها + +279 +00:16:57,050 --> 00:17:02,190 +برضه المقابل على المجاور، المقابل اللي هو ال image + +280 +00:17:02,190 --> 00:17:06,350 +head، و المجاور ال image distance، بعد ال image عن + +281 +00:17:06,350 --> 00:17:10,270 +ال optical systemSo object height over object + +282 +00:17:10,270 --> 00:17:13,390 +distance is equal to image height over image + +283 +00:17:13,390 --> 00:17:18,210 +distance, okay? Now object height over object + +284 +00:17:18,210 --> 00:17:21,250 +distance is equal to image height over image + +285 +00:17:21,250 --> 00:17:25,030 +distance We know in mathematics and in the science + +286 +00:17:25,030 --> 00:17:28,270 +of faults, if they are too much equal, if they are + +287 +00:17:28,270 --> 00:17:31,170 +too much equal, then the lowest over the lowest is + +288 +00:17:31,170 --> 00:17:34,110 +equal to the highest over the highest This is the + +289 +00:17:34,110 --> 00:17:38,060 +Foucault equationwe want to repeat the order by + +290 +00:17:38,060 --> 00:17:43,440 +saying image distance which is the position over + +291 +00:17:43,440 --> 00:17:49,320 +object distance is equal to image height over + +292 +00:17:49,320 --> 00:17:52,960 +object height or let's say as follows the bus on + +293 +00:17:52,960 --> 00:17:56,440 +the bus is equal to the position on the position + +294 +00:17:56,440 --> 00:18:01,080 +let's repeat again the bus on the bus is equal to + +295 +00:18:01,080 --> 00:18:04,400 +the position on the position so image height over + +296 +00:18:04,400 --> 00:18:08,110 +object heightis equal to image distance over + +297 +00:18:08,110 --> 00:18:10,350 +object distance. A person might object and say, + +298 +00:18:10,450 --> 00:18:12,270 +what made us think that this is correct? It is + +299 +00:18:12,270 --> 00:18:18,870 +said in math. Half is equal to two quartersلو قلنا + +300 +00:18:18,870 --> 00:18:23,250 +البسط على البسط هنا واحد على اتنين يساوي اتنين على + +301 +00:18:23,250 --> 00:18:26,210 +اربع طب ممكن انسان يقول ممكن بالعكس؟ اه ممكن + +302 +00:18:26,210 --> 00:18:30,470 +بالعكس البسط على البسط اتنين على واحد يساوي اربع + +303 +00:18:30,470 --> 00:18:33,910 +على اتنين لإن اتنين على واحد يساوي اتنين واربع على + +304 +00:18:33,910 --> 00:18:37,670 +اتنين يساوي اتنين مثال آخر بنقول البسط على البسط + +305 +00:18:37,670 --> 00:18:41,890 +واحد على اتنين يساوي تلاتة على ست ممكن بالعكس + +306 +00:18:41,890 --> 00:18:46,660 +نمشي؟ اه ممكنTwo over one equals six over three, + +307 +00:18:46,760 --> 00:18:49,080 +because two over one equals two, and six over + +308 +00:18:49,080 --> 00:18:53,420 +three equals two So, in calculus, one over one + +309 +00:18:53,420 --> 00:18:58,620 +equals one over one, or vice versa, one over one, + +310 +00:18:58,820 --> 00:19:02,320 +whether we go from right to left or from left to + +311 +00:19:02,320 --> 00:19:07,200 +right, one over one equals one over oneor مقام على + +312 +00:19:07,200 --> 00:19:12,640 +مقام يساوي bust على bust نرجع لقصتنا بنقول ال bust + +313 +00:19:12,640 --> 00:19:17,240 +على ال bust image height على object height يساوي + +314 +00:19:17,240 --> 00:19:20,220 +image distance على object distance هذه الكلام اللي + +315 +00:19:20,220 --> 00:19:23,440 +أنا بحكيه رتبنا لإنه ال image height اللي هو ال + +316 +00:19:23,440 --> 00:19:26,900 +bust على object height ال bust في ناحية تانية + +317 +00:19:26,900 --> 00:19:31,720 +يساوي image distance على object distance طيب إيش + +318 +00:19:31,720 --> 00:19:34,560 +هو ال image height على ال object height؟which is + +319 +00:19:34,560 --> 00:19:37,780 +the transference magnification image height is the + +320 +00:19:37,780 --> 00:19:40,600 +ratio of the height of the image when we divide it + +321 +00:19:40,600 --> 00:19:42,340 +by the height of the object which is the image + +322 +00:19:42,340 --> 00:19:47,120 +height over the object height the image height + +323 +00:19:47,120 --> 00:19:49,560 +over the object height equals we reached this + +324 +00:19:49,560 --> 00:19:51,840 +point that the image height over the object height + +325 +00:19:51,840 --> 00:19:54,660 +equals the image distance over the object distance + +326 +00:19:54,660 --> 00:19:57,520 +we know from the previous lecture that the image + +327 +00:19:57,520 --> 00:19:59,760 +height over the object height equals the + +328 +00:19:59,760 --> 00:20:04,440 +transference magnificationThe nodal points helped + +329 +00:20:04,440 --> 00:20:09,000 +me to reach the transference magnification not + +330 +00:20:09,000 --> 00:20:12,820 +only in heights but also in distances In other + +331 +00:20:12,820 --> 00:20:15,020 +words, let's say I have an example and we tell + +332 +00:20:15,020 --> 00:20:19,720 +someone to look at this example and bring us the + +333 +00:20:19,720 --> 00:20:23,620 +transference magnification How big is the image + +334 +00:20:23,620 --> 00:20:27,040 +compared to the object, okay? And what is the + +335 +00:20:27,040 --> 00:20:31,130 +height of the object?and gave us the height of the + +336 +00:20:31,130 --> 00:20:35,970 +image but gave us the distances distance of the + +337 +00:20:35,970 --> 00:20:38,210 +object and distance of the image we say transfers + +338 +00:20:38,210 --> 00:20:44,070 +magnification equals image distance over object + +339 +00:20:44,070 --> 00:20:46,950 +distance why did I use this? transfers + +340 +00:20:46,950 --> 00:20:49,410 +magnification equals image distance over object + +341 +00:20:49,410 --> 00:20:53,230 +distanceلأن الإرتفاعات بالنسبة إلي في المسألة ماحد + +342 +00:20:53,230 --> 00:20:57,770 +أعطانيها وإنما أعطوني المسافات بأستطيع باستخدام + +343 +00:20:57,770 --> 00:21:03,670 +المسافات إني أوجد ل transfers magnification .. إني + +344 +00:21:03,670 --> 00:21:07,850 +أوجد ل transfers magnification وبالتالي ..and thus + +345 +00:21:07,850 --> 00:21:11,870 +the nodal points helped me or through the nodal + +346 +00:21:11,870 --> 00:21:15,490 +points I reached a new equation last time our + +347 +00:21:15,490 --> 00:21:18,590 +equation was Transverse Magnification equals image + +348 +00:21:18,590 --> 00:21:21,670 +height over object height and we said we drop a + +349 +00:21:21,670 --> 00:21:24,290 +column from the top of the image to the optical + +350 +00:21:24,290 --> 00:21:27,750 +axis and we drop a column from the top of the + +351 +00:21:27,750 --> 00:21:30,730 +object to the optical axis and we calculate the + +352 +00:21:30,730 --> 00:21:33,600 +height of the image and we divide it by heightbody + +353 +00:21:33,600 --> 00:21:37,280 +and consequently I get transfers magnification + +354 +00:21:37,280 --> 00:21:40,760 +Now, today we have a new equation that transfers + +355 +00:21:40,760 --> 00:21:43,160 +magnification is equal to image distance over + +356 +00:21:43,160 --> 00:21:45,280 +object distance I measure the distance of the + +357 +00:21:45,280 --> 00:21:47,960 +image from the optical system, from the lens and I + +358 +00:21:47,960 --> 00:21:49,580 +measure the distance of the object from the + +359 +00:21:49,580 --> 00:21:52,560 +optical system, from the lens I divide the + +360 +00:21:52,560 --> 00:21:54,060 +distance of the image by the distance of the + +361 +00:21:54,060 --> 00:21:57,860 +object and I get transfers magnification One can + +362 +00:21:57,860 --> 00:22:04,020 +ask that we haveWhen we were using the heights, we + +363 +00:22:04,020 --> 00:22:05,920 +used to say that the one below the optical axis + +364 +00:22:05,920 --> 00:22:09,100 +gives a minus sign and the one above the optical + +365 +00:22:09,100 --> 00:22:12,660 +axis gives a plus sign Are there certain signals + +366 +00:22:12,660 --> 00:22:14,440 +in the distances to help me turn the picture + +367 +00:22:14,440 --> 00:22:17,500 +upside down or not? We say yes, it was identified, + +368 +00:22:17,960 --> 00:22:20,680 +it was identified that whatever is on the right of + +369 +00:22:20,680 --> 00:22:23,340 +the optical system, which is the lens, is + +370 +00:22:23,340 --> 00:22:25,840 +considered positive and whatever is on the left is + +371 +00:22:25,840 --> 00:22:28,280 +considered negative, is considered negative + +372 +00:22:39,400 --> 00:22:44,860 +The essential property of nodal points is that + +373 +00:22:44,860 --> 00:22:52,220 +these two angles are equal for any selected object + +374 +00:22:52,220 --> 00:22:52,680 +point + +375 +00:23:07,260 --> 00:23:12,080 +because of this feature nodal points are useful + +376 +00:23:12,080 --> 00:23:15,940 +for establishing a relationship among transphase + +377 +00:23:15,940 --> 00:23:19,340 +magnificationobject distance and image distance + +378 +00:23:19,340 --> 00:23:21,860 +and because of this feature that the entry angle + +379 +00:23:21,860 --> 00:23:25,740 +and exit angle are equal, nodal point helped us to + +380 +00:23:25,740 --> 00:23:27,740 +create a relation between the transphase + +381 +00:23:27,740 --> 00:23:30,620 +magnification and the object distance and the + +382 +00:23:30,620 --> 00:23:33,000 +image distance this relation is summarized in the + +383 +00:23:33,000 --> 00:23:34,160 +equation that + +384 +00:23:36,660 --> 00:23:39,900 +transfers magnification equals image distance over + +385 +00:23:39,900 --> 00:23:43,440 +object distance regardless of the location of an + +386 +00:23:43,440 --> 00:23:47,200 +object the object and the image subtends equal + +387 +00:23:47,200 --> 00:23:51,440 +angles with respect to their nodal points and this + +388 +00:23:51,440 --> 00:23:53,800 +is what we said that the angle of entry of any + +389 +00:23:53,800 --> 00:23:57,060 +beam that enters the nodal point equals the angle + +390 +00:23:57,060 --> 00:24:00,920 +of exit of this beam from the nodal point we + +391 +00:24:00,920 --> 00:24:02,740 +reached the relationship that transfers + +392 +00:24:02,740 --> 00:24:06,100 +magnificationLike it equals image height over + +393 +00:24:06,100 --> 00:24:09,040 +object height, it also equals image distance over + +394 +00:24:09,040 --> 00:24:13,580 +object distance in heights In heights, we said the + +395 +00:24:13,580 --> 00:24:16,920 +one above the optical axis gets a plus sign, and + +396 +00:24:16,920 --> 00:24:19,940 +the one below the optical axis gets a minus sign + +397 +00:24:19,940 --> 00:24:24,260 +In distances, the one on the right is positive on + +398 +00:24:24,260 --> 00:24:25,800 +the right of the lens or on the right of the + +399 +00:24:25,800 --> 00:24:28,660 +optical system, and the one on the left is + +400 +00:24:28,660 --> 00:24:34,550 +negative, is negative, we say as followsas a + +401 +00:24:34,550 --> 00:24:38,310 +practical matter object and image distances must + +402 +00:24:38,310 --> 00:24:42,030 +obey a sign convention لازم نعطي إشارة لمسافة + +403 +00:24:42,030 --> 00:24:45,950 +الصورة ومسافة ال object عشان نعرف بالظبط هل الصورة + +404 +00:24:45,950 --> 00:24:49,950 +مجلوبة و لا الصورة معتادلة و لا الصورة معتادلة + +405 +00:24:49,950 --> 00:24:54,750 +طبعا هذا sign convention أو العلامة اللي بنعطيها + +406 +00:24:55,110 --> 00:24:58,130 +plus or minus consistent with the established + +407 +00:24:58,130 --> 00:25:06,090 +convention for transverse magnification object + +408 +00:25:06,090 --> 00:25:14,030 +distance + +409 +00:25:14,030 --> 00:25:17,410 +is measured from the object to the anterior nodal + +410 +00:25:17,410 --> 00:25:21,130 +point and image distanceis measured from the + +411 +00:25:21,130 --> 00:25:24,470 +posterior nodal point to the image when we move, + +412 +00:25:24,690 --> 00:25:28,650 +we say as follows to measure the object distance, + +413 +00:25:28,750 --> 00:25:30,650 +the object distance is the distance from the + +414 +00:25:30,650 --> 00:25:35,210 +object to the anterior nodal point and the image + +415 +00:25:35,210 --> 00:25:38,490 +distance from the posterior nodal point to the + +416 +00:25:38,490 --> 00:25:41,130 +image that is, from here to here is the distance + +417 +00:25:41,130 --> 00:25:43,690 +of the object and from here to here is the + +418 +00:25:43,690 --> 00:25:44,950 +distance of the image + +419 +00:25:47,840 --> 00:25:50,980 +For a simple thin lens immersed in a uniform + +420 +00:25:50,980 --> 00:25:54,600 +medium such as air, the nodal points overlap in + +421 +00:25:54,600 --> 00:25:58,710 +the center,of the lens. We say when I have a high + +422 +00:25:58,710 --> 00:26:02,210 +lens, submerged or present in a mixed medium, + +423 +00:26:02,610 --> 00:26:05,930 +uniform medium, what is uniform medium? It means + +424 +00:26:05,930 --> 00:26:07,650 +what is in front of it is the same as what is + +425 +00:26:07,650 --> 00:26:11,910 +behind it, it means air and air, water and water. + +426 +00:26:11,990 --> 00:26:14,210 +Well, can there be lenses that have something in + +427 +00:26:14,210 --> 00:26:16,530 +front of it and something behind it? Yes, for + +428 +00:26:16,530 --> 00:26:18,650 +example, like the cornea lens, the cornea of the + +429 +00:26:18,650 --> 00:26:21,350 +eye, in front of it is air and behind it is the + +430 +00:26:21,350 --> 00:26:23,920 +liquid of the eye, which is the aqueousThe humor + +431 +00:26:23,920 --> 00:26:26,260 +that exists in the anterior chamber. So, not all + +432 +00:26:26,260 --> 00:26:29,240 +lenses exist in a homogenous environment Some + +433 +00:26:29,240 --> 00:26:32,940 +exist in a non-homogenous environment The + +434 +00:26:32,940 --> 00:26:34,960 +homogenous environment is that in front of the + +435 +00:26:34,960 --> 00:26:38,180 +lens is the same as behind the lens Like the lens + +436 +00:26:38,180 --> 00:26:40,760 +when we hold it in the open air and we are in + +437 +00:26:40,760 --> 00:26:42,560 +front of it, in front of it means in front of its + +438 +00:26:42,560 --> 00:26:45,100 +surface Or the front surface is touching the air + +439 +00:26:45,100 --> 00:26:47,920 +and the back surface is touching the airand + +440 +00:26:47,920 --> 00:26:50,660 +consequently it is called uniform medium, which + +441 +00:26:50,660 --> 00:26:52,980 +means it exists in a homogeneous environment In + +442 +00:26:52,980 --> 00:26:56,640 +the case of a high lens, a thin lens, not a low + +443 +00:26:56,640 --> 00:26:59,580 +lens, in a homogeneous environment, the anterior + +444 +00:26:59,580 --> 00:27:03,960 +and posterior nodal points overlap, which means + +445 +00:27:03,960 --> 00:27:07,380 +they come to each other and there is no distance + +446 +00:27:07,380 --> 00:27:12,400 +between themoverlap in the center of the lens + +447 +00:27:12,400 --> 00:27:16,160 +موجودين بكونوا في ال center بتاع ال lens ماننساش + +448 +00:27:16,160 --> 00:27:19,140 +أنه لما بنحسب ال transfer magnification ونقول + +449 +00:27:19,140 --> 00:27:21,980 +يساوي ال image distance ع ال object distance + +450 +00:27:21,980 --> 00:27:25,280 +ماننساش أنه اللي ع اليمين هنعطي إشارة موجب، + +451 +00:27:25,280 --> 00:27:27,740 +المسافة اللي ع اليمين هنعطيها إشارة موجبة، + +452 +00:27:27,740 --> 00:27:30,240 +والمسافة اللي ع الشمال هنعطيها إشارة + +453 +00:27:36,480 --> 00:27:40,920 +We will stop at + +454 +00:27:40,920 --> 00:27:45,100 +this point and we will continue next time and give + +455 +00:27:45,100 --> 00:27:45,720 +you the answer + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Xkbo6AAQi3o_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Xkbo6AAQi3o_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..918c70358239c9219c07a8f8fde270729719d342 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Xkbo6AAQi3o_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 1013, "start": 1.57, "end": 10.13, "text": "بسم الله الرحمن الرحيم نواصل محاضرات ال geometric optics ووصلنا عند modeling an unknown optical system", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 2407, 33546, 1211, 3714, 5016, 46958, 2288, 9307, 2423, 33246, 42599, 4032, 2407, 36520, 8315, 43242, 15983, 364, 9841, 20674, 1185], "avg_logprob": -0.24414062313735485, "compression_ratio": 1.1900826446280992, "no_speech_prob": 0.0, "words": [{"start": 1.57, "end": 1.87, "word": "بسم", "probability": 0.46795654296875}, {"start": 1.87, "end": 2.03, "word": " الله", "probability": 0.9130859375}, 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listen to the records to try to reach the truth in this matter", "tokens": [40, 914, 11, 498, 456, 390, 257, 1154, 365, 264, 5720, 11, 420, 264, 5720, 941, 12219, 11, 420, 309, 5696, 11, 420, 309, 390, 8119, 11, 5183, 13, 639, 2211, 2424, 307, 2726, 484, 295, 264, 5720, 21478, 609, 11, 293, 436, 2140, 281, 264, 7724, 281, 853, 281, 2524, 264, 3494, 294, 341, 1871], "avg_logprob": -0.5068530618098744, "compression_ratio": 1.5442176870748299, "no_speech_prob": 3.6954879760742188e-06, "words": [{"start": 319.17, "end": 319.57, "word": "I", "probability": 0.30224609375}, {"start": 319.57, "end": 319.85, "word": " mean,", "probability": 0.93115234375}, {"start": 319.91, "end": 320.25, "word": " if", "probability": 0.9130859375}, {"start": 320.25, "end": 320.69, "word": " there", "probability": 0.65625}, {"start": 320.69, "end": 321.03, "word": " was", "probability": 0.3662109375}, {"start": 321.03, "end": 321.83, "word": " a", "probability": 0.837890625}, {"start": 321.83, "end": 322.25, 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The lenses work together Does it have a plus lens position or a minus lens position? 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intersects with the optical axis intersects with the posterior principal point posterior principal point", "tokens": [64, 5720, 365, 264, 20674, 10298, 307, 264, 935, 295, 22272, 9716, 935, 293, 264, 33529, 9716, 5720, 562, 309, 27815, 82, 365, 264, 20674, 10298, 27815, 82, 365, 264, 33529, 9716, 935, 33529, 9716, 935], "avg_logprob": -0.27428208492897654, "compression_ratio": 2.3333333333333335, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1025.91, "end": 1026.25, "word": "a", "probability": 0.515625}, {"start": 1026.25, "end": 1026.97, "word": " plane", "probability": 0.81884765625}, {"start": 1026.97, "end": 1027.73, "word": " with", "probability": 0.89306640625}, {"start": 1027.73, "end": 1027.89, "word": " the", "probability": 0.67724609375}, {"start": 1027.89, "end": 1028.29, "word": " optical", "probability": 0.91162109375}, {"start": 1028.29, "end": 1028.85, "word": " axis", "probability": 0.9443359375}, {"start": 1028.85, "end": 1029.15, "word": " is", 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1841.94, "end": 1842.64, "word": " العافية", "probability": 0.9783528645833334}, {"start": 1842.64, "end": 1843.28, "word": " والسلام", "probability": 0.798095703125}, {"start": 1843.28, "end": 1843.78, "word": " عليكم", "probability": 0.949951171875}, {"start": 1843.78, "end": 1844.34, "word": " ورحمة", "probability": 0.977294921875}, {"start": 1844.34, "end": 1844.7, "word": " الله", "probability": 0.9765625}, {"start": 1844.7, "end": 1845.9, "word": " وبركاته", "probability": 0.9833984375}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1846.056, "duration_after_vad": 1589.0112499999973} \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XqJKSOA7ldw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XqJKSOA7ldw.srt new file mode 100644 index 0000000000000000000000000000000000000000..7e3ec390985ca76311f228ce0ac856430f4a16e3 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/XqJKSOA7ldw.srt @@ -0,0 +1,132 @@ + +1 +00:00:05,570 --> 00:00:15,690 +بسم الله الرحمن الرحيم بسم + +2 +00:00:15,690 --> 00:00:17,490 +الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +3 +00:00:17,490 --> 00:00:17,530 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +4 +00:00:17,530 --> 00:00:19,290 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم + +5 +00:00:19,290 --> 00:00:20,450 +الله الرحمن الرحيم بسم الله الرحمن الرحيم + +6 +00:00:20,450 --> 00:00:20,730 +الرحمن الرحيم الرحمن الرحيم الرحمن الرحيم الرحمن الرحمن + +7 +00:00:20,730 --> 00:00:20,810 +الرحمن الرحيم الرحمن الرحيم الرحمن الرحيم الرحمن الرحمن + +8 +00:00:20,810 --> 00:00:24,110 +الرحمن + +9 +00:00:24,110 --> 00:00:26,590 +الرح + +10 +00:00:29,310 --> 00:00:32,010 +As long as the image distance is unknown, I cannot + +11 +00:00:32,010 --> 00:00:34,870 +draw it on the right of the lens or on the left + +12 +00:00:34,870 --> 00:00:40,530 +until I get the result. The simple solution is to + +13 +00:00:40,530 --> 00:00:44,350 +say that the transference magnification is equal + +14 +00:00:44,350 --> 00:00:48,250 +to the image distance which is unknown over the + +15 +00:00:48,250 --> 00:00:51,970 +object distance. I want the image distance. Image + +16 +00:00:51,970 --> 00:00:55,530 +distance is equal to the transference + +17 +00:00:55,530 --> 00:01:00,440 +magnification times the object distance. Transphase + +18 +00:01:00,440 --> 00:01:05,120 +magnification is minus 4. The object + +19 +00:01:05,120 --> 00:01:08,620 +distance. The object distance on the left is a + +20 +00:01:08,620 --> 00:01:15,040 +minus sign. 25 cm is a meter, so it is a quarter + +21 +00:01:15,040 --> 00:01:21,440 +of a meter. Minus times minus is plus. Four times + +22 +00:01:21,440 --> 00:01:27,080 +a quarter is one. So the distance of the picture + +23 +00:01:27,080 --> 00:01:33,790 +is plus 1 meter on the right of the lens. 1 meter + +24 +00:01:33,790 --> 00:01:37,350 +on the right of the lens. 1 meter ok, what if I + +25 +00:01:37,350 --> 00:01:40,190 +draw the image up and what if I draw it down? I go + +26 +00:01:40,190 --> 00:01:42,910 +back to the transphase magnification as long as + +27 +00:01:42,910 --> 00:01:45,130 +there is a minus sign in it, then the image is + +28 +00:01:45,130 --> 00:01:48,350 +inverted for the object. The object is up, so what + +29 +00:01:48,350 --> 00:01:51,750 +is it? down. This is what I drew four times the + +30 +00:01:51,750 --> 00:01:56,430 +height of the object. One meter away from العدسة + +31 +00:01:56,430 --> 00:02:00,530 +وهيك بتكون حلت المسألة. إذا ال image distance plus + +32 +00:02:00,530 --> 00:02:04,770 +1 meter. الصورة تبعد عن يمين العدسة المقدار 1 meter + +33 +00:02:04,770 --> 00:02:08,810 +ويعطيكم العافية والسلام عليكم ورحمة الله وبركات diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Y4j4yXsIYRI.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Y4j4yXsIYRI.srt new file mode 100644 index 0000000000000000000000000000000000000000..4f4acaaa518715be4e89a339869c2cf018b28689 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/Y4j4yXsIYRI.srt @@ -0,0 +1,1308 @@ + +1 +00:00:01,800 --> 00:00:02,760 +In the name of Allah, Most Gracious, Most + +2 +00:00:02,760 --> 00:00:06,280 +Merciful. We continue with the lectures of + +3 +00:00:06,280 --> 00:00:09,780 +Geometric Optics, and last time we reached the + +4 +00:00:09,780 --> 00:00:12,460 +image location, which is the second attribute of + +5 +00:00:12,460 --> 00:00:16,360 +the image. We remember in .. or we remember in the + +6 +00:00:16,360 --> 00:00:19,250 +attributes of the image which are magnification, + +7 +00:00:19,590 --> 00:00:23,770 +location, quality, brightness. Of course, location + +8 +00:00:23,770 --> 00:00:28,410 +is very important for the image. We say image + +9 +00:00:28,410 --> 00:00:30,470 +location, which means the location of the image + +10 +00:00:30,470 --> 00:00:37,520 +away from the optical system that made it. طبعا + +11 +00:00:37,520 --> 00:00:41,420 +موقع الصورة يعني جديش بتبتعد عن ال optical system + +12 +00:00:41,420 --> 00:00:45,000 +سواء هذا ال optical system عدسة أو مرايا أو ما + +13 +00:00:45,000 --> 00:00:48,400 +شابه و هي بنقول ال refractive errors اللي هي + +14 +00:00:48,400 --> 00:00:53,580 +الأخطاء الإنكسارية البصرية زي الmiopia و + +15 +00:00:53,580 --> 00:00:57,600 +الhypermetropia و الastigmatism result when images + +16 +00:00:57,600 --> 00:01:02,340 +formed by the eyes optical system are in front or + +17 +00:01:02,340 --> 00:01:07,510 +of or behind the retinameans the person who has + +18 +00:01:07,510 --> 00:01:09,110 +the picture in front of him in front of the + +19 +00:01:09,110 --> 00:01:12,410 +network we say he has short sight or myopia what + +20 +00:01:12,410 --> 00:01:14,690 +constitutes behind the network we say he has + +21 +00:01:14,690 --> 00:01:18,450 +hypermetropia what constitutes part in front and + +22 +00:01:18,450 --> 00:01:20,750 +part behind or part on the network and part in + +23 +00:01:20,750 --> 00:01:23,530 +front or part on the network and part behind means + +24 +00:01:23,530 --> 00:01:25,190 +part of the picture like this and part of the + +25 +00:01:25,190 --> 00:01:28,050 +picture like that we say he has astigmatism now a + +26 +00:01:28,050 --> 00:01:29,990 +person can say what is the relationship of this + +27 +00:01:29,990 --> 00:01:32,050 +speech in the subject of image location the + +28 +00:01:32,050 --> 00:01:34,170 +relationship is very simple and very important at + +29 +00:01:34,170 --> 00:01:39,910 +the same time نروح للرسمة التالية، بنقول، نطلع على + +30 +00:01:39,910 --> 00:01:44,730 +اللي هو ايه في الصورة، ايه؟ I have a human who has + +31 +00:01:44,730 --> 00:01:47,390 +amyotropia, amyotropia means that he does not have + +32 +00:01:47,390 --> 00:01:50,210 +myopia or hypermetropia, he is a human with a + +33 +00:01:50,210 --> 00:01:53,950 +natural eye Now the object that he looks at, its + +34 +00:01:53,950 --> 00:01:56,870 +image comes to the retina exactly The optical + +35 +00:01:56,870 --> 00:01:59,170 +system of the eye, which is the cornea and the + +36 +00:01:59,170 --> 00:02:02,330 +crystalline lens Cornea and crystalline lens, + +37 +00:02:02,390 --> 00:02:05,330 +these are the optical system The object exists, + +38 +00:02:05,670 --> 00:02:10,640 +the receiving paper is the retina Or which is the + +39 +00:02:10,640 --> 00:02:13,340 +network will of course be the receipt, which is an + +40 +00:02:13,340 --> 00:02:16,560 +alternative to the A4 paper So since the image + +41 +00:02:16,560 --> 00:02:19,240 +comes from the network exactly and is clear We say + +42 +00:02:19,240 --> 00:02:23,380 +the image location of this optical system is in + +43 +00:02:23,380 --> 00:02:25,220 +the correct location In the correct location, + +44 +00:02:25,400 --> 00:02:28,360 +meaning this patient or this person will see very + +45 +00:02:28,360 --> 00:02:31,940 +clearly, there is no problem Now if the image + +46 +00:02:31,940 --> 00:02:34,420 +location is not in the correct location, if the + +47 +00:02:34,420 --> 00:02:36,900 +distance of the image It is not what is required + +48 +00:02:36,900 --> 00:02:40,320 +For example, if a person has myopia, he looks at a + +49 +00:02:40,320 --> 00:02:42,860 +certain object in a certain distance The object, + +50 +00:02:43,520 --> 00:02:45,840 +this optical system, which is the camera and the + +51 +00:02:45,840 --> 00:02:49,100 +lens, together these optical systems form a + +52 +00:02:49,100 --> 00:02:51,420 +picture, this is its location Okay, it is still + +53 +00:02:51,420 --> 00:02:53,220 +its location, it has not reached the network yet, + +54 +00:02:53,320 --> 00:02:56,640 +so it will not be clear on the network, so we call + +55 +00:02:56,640 --> 00:03:02,250 +it myopia If we look at myopia or introduce it We + +56 +00:03:02,250 --> 00:03:04,490 +define it from the point of view of geometric + +57 +00:03:04,490 --> 00:03:08,950 +optics, we say myopia is an image location not in + +58 +00:03:08,950 --> 00:03:12,170 +the correct location It means a picture away from + +59 +00:03:12,170 --> 00:03:14,450 +the optical system, not the correct distance, but + +60 +00:03:14,450 --> 00:03:18,150 +the correct distance the image should receive or + +61 +00:03:18,150 --> 00:03:21,750 +be present here on the network surface Also the + +62 +00:03:21,750 --> 00:03:24,270 +hypermetropia or hyperopia which is the length of + +63 +00:03:24,270 --> 00:03:26,830 +the eye This is the optical system of the eye + +64 +00:03:26,830 --> 00:03:32,070 +which is the lens or the lens And this eye or this + +65 +00:03:32,070 --> 00:03:36,050 +person looks at an object due to the fact that the + +66 +00:03:36,050 --> 00:03:39,490 +picture has It was formed behind the network, which + +67 +00:03:39,490 --> 00:03:41,510 +means that the location of the image or the image + +68 +00:03:41,510 --> 00:03:45,170 +location is also wrong, not normal, and therefore + +69 +00:03:45,170 --> 00:03:49,110 +they call it refractive error, which means that + +70 +00:03:49,110 --> 00:03:51,490 +the refractive force or the refractive force of + +71 +00:03:51,490 --> 00:03:54,430 +the rays of this optical system is not correct, + +72 +00:03:55,010 --> 00:03:58,150 +either too strong than necessary, which is why the + +73 +00:03:58,150 --> 00:04:02,040 +rays are gathered closer to the location, closer to + +74 +00:04:02,040 --> 00:04:06,020 +the network, or weak because it could not collect + +75 +00:04:06,020 --> 00:04:08,740 +the rays except behind the network. There is a + +76 +00:04:08,740 --> 00:04:10,920 +point here that has nothing to do with geometric + +77 +00:04:10,920 --> 00:04:13,880 +optics, but a point for a person to imagine it + +78 +00:04:13,880 --> 00:04:17,540 +correctly. No one imagines that these rays, as it + +79 +00:04:17,540 --> 00:04:19,960 +is drawn like this, penetrated the eye and formed + +80 +00:04:19,960 --> 00:04:23,060 +a cluster. The rays will stop at the network, it + +81 +00:04:23,060 --> 00:04:24,560 +will be in a state that is not completely + +82 +00:04:24,560 --> 00:04:28,010 +collected, but it will be in a state unclear or + +83 +00:04:28,010 --> 00:04:31,350 +blared which means blurred Why blurred? Because it + +84 +00:04:31,350 --> 00:04:35,090 +is not concentrated in a focus, in a field like + +85 +00:04:35,090 --> 00:04:38,470 +the first drawing shows So the rays will stop + +86 +00:04:38,470 --> 00:04:40,810 +here, of course the network behind it is the + +87 +00:04:40,810 --> 00:04:43,110 +choroid and behind it is the sclera and these are + +88 +00:04:43,110 --> 00:04:45,910 +of course transients that are not transparent, so + +89 +00:04:45,910 --> 00:04:47,790 +the light will not penetrate, the light will stay + +90 +00:04:47,790 --> 00:04:51,690 +in this case While if we argue about these light + +91 +00:04:51,690 --> 00:04:53,530 +rays, we will find that they will meet at a point + +92 +00:04:53,530 --> 00:04:56,770 +behind the network Regardless of whether I have + +93 +00:04:56,770 --> 00:05:01,010 +myopia or hypermetropia, I will make a mistake in + +94 +00:05:01,010 --> 00:05:02,990 +the image location from the point of view of + +95 +00:05:02,990 --> 00:05:06,750 +geometric optics Of course, in geometric optics, + +96 +00:05:06,890 --> 00:05:09,950 +the image location, to be correct, the image must + +97 +00:05:09,950 --> 00:05:13,050 +be on the reception paper, and the reception paper + +98 +00:05:13,050 --> 00:05:16,190 +is The network in the case of the eye, the network + +99 +00:05:16,190 --> 00:05:17,930 +in the case of the eye, that is, when I have the + +100 +00:05:17,930 --> 00:05:22,070 +optical system, which is the comparison between + +101 +00:05:22,070 --> 00:05:24,450 +the human and the lens, they are all together, + +102 +00:05:24,610 --> 00:05:27,730 +optical system forms a picture for me, then the + +103 +00:05:27,730 --> 00:05:30,610 +acceptance paper is from each point the network. + +104 +00:05:30,910 --> 00:05:33,890 +In position A, which is the metrobia, the image + +105 +00:05:33,890 --> 00:05:36,430 +location is correct, in position B and C, the + +106 +00:05:36,430 --> 00:05:39,420 +image location is not correct. Also, this is + +107 +00:05:39,420 --> 00:05:42,180 +normal, this person developed myopia, this person + +108 +00:05:42,180 --> 00:05:46,220 +developed hypermetropia Now, we can make a mistake + +109 +00:05:46,220 --> 00:05:49,820 +in describing lenses We describe a plus lens, a + +110 +00:05:49,820 --> 00:05:53,500 +fixed lens, stronger than necessary, stronger than + +111 +00:05:53,500 --> 00:05:56,300 +necessary So, we generate myopia, they call it + +112 +00:05:56,300 --> 00:06:00,020 +artificial myopia or artificial myopia, or we + +113 +00:06:00,020 --> 00:06:01,940 +generate it artificially, that is, generated, + +114 +00:06:02,140 --> 00:06:05,900 +completely generated, because we used A lens that + +115 +00:06:05,900 --> 00:06:09,060 +is more than necessary, therefore, the strength of + +116 +00:06:09,060 --> 00:06:11,680 +the eye became and added to it the strength of the + +117 +00:06:11,680 --> 00:06:14,460 +wrong lens, of course, the wrong lens, of course, + +118 +00:06:15,620 --> 00:06:17,780 +therefore, we turned this patient, of course, the + +119 +00:06:17,780 --> 00:06:20,860 +lens plus, the lens plus, we use it for treatment + +120 +00:06:20,860 --> 00:06:23,560 +of hypermetropia, but its strength must be + +121 +00:06:23,560 --> 00:06:26,520 +correct, not more than necessary, if we use it + +122 +00:06:26,520 --> 00:06:29,440 +more than necessary, the eye will become with the + +123 +00:06:29,440 --> 00:06:32,640 +lens as a very strong optical system and thus it + +124 +00:06:32,640 --> 00:06:35,480 +will collect the rays in a distance closer than + +125 +00:06:35,480 --> 00:06:38,300 +the network and we will be the one who caused + +126 +00:06:38,300 --> 00:06:42,700 +myopia in this person so lens induced myopic focus + +127 +00:06:42,700 --> 00:06:45,820 +meaning that we are the one who caused this myopia + +128 +00:06:45,820 --> 00:06:48,840 +also regardless of whether this is our fault or + +129 +00:06:48,840 --> 00:06:53,880 +not this speech will cause me myopia And therefore + +130 +00:06:53,880 --> 00:06:59,400 +I will also have a mistake in the image location + +131 +00:06:59,400 --> 00:07:01,640 +or in the location of the picture. A person has + +132 +00:07:01,640 --> 00:07:04,900 +basically myopia and we want to use a minus lens + +133 +00:07:04,900 --> 00:07:08,520 +as you see in the picture. So we put him a minus + +134 +00:07:08,520 --> 00:07:11,460 +lens, the rays were scattered a little so that the + +135 +00:07:11,460 --> 00:07:13,640 +focus instead of being here delayed him a little + +136 +00:07:13,640 --> 00:07:17,460 +and went here. But unfortunately, we used a minus + +137 +00:07:17,460 --> 00:07:19,460 +lens stronger than necessary, stronger than + +138 +00:07:19,460 --> 00:07:21,700 +necessary, so the scattering became more and + +139 +00:07:21,700 --> 00:07:26,030 +therefore The focus was behind the network, so we + +140 +00:07:26,030 --> 00:07:30,570 +let the man, who is myopia through the minus lens, + +141 +00:07:30,790 --> 00:07:33,750 +which is stronger than necessary, let us bring him + +142 +00:07:33,750 --> 00:07:38,470 +to hypermetropia And therefore, regardless of the + +143 +00:07:38,470 --> 00:07:41,530 +mistake we made, the image location became + +144 +00:07:41,530 --> 00:07:43,690 +incorrect Because in order for the image location + +145 +00:07:43,690 --> 00:07:48,110 +to be correct, the image must be on the network, + +146 +00:07:48,290 --> 00:07:53,720 +which is the reception paper So the second + +147 +00:07:53,720 --> 00:07:56,060 +attribute of the image, which is image location, + +148 +00:07:56,460 --> 00:07:59,520 +is really very important and will enter the + +149 +00:07:59,520 --> 00:08:02,220 +meaning of our practical life because all the + +150 +00:08:02,220 --> 00:08:06,820 +recipes, or most of the recipes, especially for + +151 +00:08:06,820 --> 00:08:10,240 +eyesight, whether it's a recipe for glasses or + +152 +00:08:10,240 --> 00:08:13,680 +contact lenses or glasses with contact lenses or + +153 +00:08:13,680 --> 00:08:18,960 +whatever, all depend on correcting the image + +154 +00:08:18,960 --> 00:08:21,530 +location If the image location is in front of the + +155 +00:08:21,530 --> 00:08:23,950 +retina, we will leave it on the retina If the + +156 +00:08:23,950 --> 00:08:26,190 +image location is behind the retina, we will leave + +157 +00:08:26,190 --> 00:08:29,890 +it on the retina Also when a person has cataract, + +158 +00:08:30,330 --> 00:08:32,770 +cataract What does cataract mean? Cataract is + +159 +00:08:32,770 --> 00:08:36,170 +white water or blot in the lens of the eye Blot in + +160 +00:08:36,170 --> 00:08:39,430 +the lens of the eye It is necessary to undergo + +161 +00:08:39,430 --> 00:08:44,890 +surgery to remove this blot and therefore Excuse + +162 +00:08:44,890 --> 00:08:48,710 +me, when we remove the crystalline lens that + +163 +00:08:48,710 --> 00:08:52,810 +contains the impurities, most of the time, most of + +164 +00:08:52,810 --> 00:09:00,790 +the time, which means around 99.999% Ten thousand + +165 +00:09:00,790 --> 00:09:04,390 +percent must plant a lens inside the eye except in + +166 +00:09:04,390 --> 00:09:07,870 +exceptional cases This alternative lens that was + +167 +00:09:07,870 --> 00:09:10,330 +planted, which is an artificial lens, which they + +168 +00:09:10,330 --> 00:09:15,150 +call intraocular lens or IOL intraocular lens must + +169 +00:09:15,150 --> 00:09:18,390 +have a certain power so that the image location + +170 +00:09:18,390 --> 00:09:21,850 +after the operation is also correct That is, when + +171 +00:09:21,850 --> 00:09:24,610 +I plant a lens stronger than necessary, I will + +172 +00:09:24,610 --> 00:09:27,710 +have myopia stronger than necessary, that is, I + +173 +00:09:27,710 --> 00:09:30,030 +removed the white water, removed this lens and + +174 +00:09:30,030 --> 00:09:32,470 +planted an artificial lens in its place, + +175 +00:09:32,510 --> 00:09:34,970 +intraocular lens, stronger than necessary, then + +176 +00:09:34,970 --> 00:09:37,370 +sometimes the rays will gather at a distance + +177 +00:09:37,370 --> 00:09:40,830 +closer to the network, and thus I will have an + +178 +00:09:40,830 --> 00:09:43,670 +error in the image location. Okay, if I planted + +179 +00:09:43,670 --> 00:09:46,090 +instead of white water, I planted a very weak + +180 +00:09:46,090 --> 00:09:49,290 +lens, so not the appropriate force, less than the + +181 +00:09:49,290 --> 00:09:52,610 +appropriate force, I will act as if I will make + +182 +00:09:52,610 --> 00:09:55,970 +this patient hyper,metropia and therefore also + +183 +00:09:55,970 --> 00:09:58,070 +made a mistake in image location. So image + +184 +00:09:58,070 --> 00:10:02,110 +location is a very very very important attribute + +185 +00:10:02,110 --> 00:10:04,930 +in visual specialization and it is the second + +186 +00:10:04,930 --> 00:10:09,610 +attribute of the object, excuse me, of the image. + +187 +00:10:09,670 --> 00:10:13,630 +So refractive errors result when images formed by + +188 +00:10:13,630 --> 00:10:17,150 +the eye's optical system, the eye's optical system + +189 +00:10:17,150 --> 00:10:20,730 +which is cornea and crystalline lens together are + +190 +00:10:20,730 --> 00:10:23,830 +in front of or behind the retina ساعتها بقول + +191 +00:10:23,830 --> 00:10:27,230 +refractive error امتى بيكون فش refractive error + +192 +00:10:27,230 --> 00:10:32,410 +لما يكون الصورة لا هي قدام ولا خلف الشبكية وانما + +193 +00:10:32,410 --> 00:10:39,040 +عند الشبكية او على الشبكية مباشرة بشكل focused يعني + +194 +00:10:39,040 --> + +223 +00:12:24,450 --> 00:12:27,130 +I'm going to take a point from the lens here and + +224 +00:12:27,130 --> 00:12:29,290 +measure the image, no, the measurement should be + +225 +00:12:29,290 --> 00:12:33,150 +along the optical axis or along the optical axis, + +226 +00:12:33,250 --> 00:12:36,490 +this is a point, so the first reference or point + +227 +00:12:36,490 --> 00:12:38,970 +that I start from when I measure the back surface + +228 +00:12:38,970 --> 00:12:42,390 +of the lens, this is a point, I can say I don't + +229 +00:12:42,390 --> 00:12:44,830 +want to measure from the back service, I want to + +230 +00:12:44,830 --> 00:12:47,770 +measure from the posterior nodal point, the + +231 +00:12:47,770 --> 00:12:51,870 +posterior nodal point Sometimes, not always, it + +232 +00:12:51,870 --> 00:12:54,470 +applies to the back surface, it applies to the + +233 +00:12:54,470 --> 00:12:59,270 +back surface, or it can be far away, or there is a + +234 +00:12:59,270 --> 00:13:01,850 +distance between it and the back surface, so I can + +235 +00:13:01,850 --> 00:13:03,670 +measure the distance from the back surface of the + +236 +00:13:03,670 --> 00:13:07,730 +lens to the image, and maybe from the posterior + +237 +00:13:07,730 --> 00:13:11,670 +nodal point Now there is a new reference point that + +238 +00:13:11,670 --> 00:13:14,850 +appeared in today's lecture We said nodal points, + +239 +00:13:14,950 --> 00:13:18,370 +I have two nodal points anterior and posterior And + +240 +00:13:18,370 --> 00:13:21,250 +we used them in previous lectures as useful + +241 +00:13:21,250 --> 00:13:24,310 +reference points to calculate the transference + +242 +00:13:24,310 --> 00:13:27,550 +magnification And we reached a equation that the + +243 +00:13:27,550 --> 00:13:30,370 +transference magnification equals the image + +244 +00:13:30,370 --> 00:13:33,690 +distance over the object distance As we said + +245 +00:13:33,690 --> 00:13:36,190 +before, the transference magnification equals the + +246 +00:13:36,190 --> 00:13:39,430 +image height over the object height اليوم احنا ظهرت + +247 +00:13:39,430 --> 00:13:43,290 +عندنا نقاط مرجعية جديدة اسمها ال principle points + +248 +00:13:43,290 --> 00:13:47,330 +ال anterior principle point اللي انا بقشر عليها + +249 +00:13:47,330 --> 00:13:51,150 +الآن بال mouse و ال posterior principle point هاي + +250 +00:13:51,150 --> 00:13:53,890 +anterior principle point و posterior principle + +251 +00:13:53,890 --> 00:13:57,370 +point anterior principle pointand posterior + +252 +00:13:57,370 --> 00:13:59,710 +principal point and here the same thing anterior + +253 +00:13:59,710 --> 00:14:03,690 +and posterior principal point the summary of the + +254 +00:14:03,690 --> 00:14:06,450 +speech is that I can also measure the image + +255 +00:14:06,450 --> 00:14:09,770 +distance from the posterior principal point that I + +256 +00:14:09,770 --> 00:14:15,190 +mark to the image to the image so I can use three + +257 +00:14:15,190 --> 00:14:18,630 +reference things I start with the measurement of + +258 +00:14:18,630 --> 00:14:21,150 +the image location the image location is the same + +259 +00:14:21,150 --> 00:14:23,390 +as the image distance is the same as the image + +260 +00:14:23,390 --> 00:14:25,270 +distance which is the location of the image or the + +261 +00:14:25,270 --> 00:14:29,020 +distance of the imagebetween it and the optical + +262 +00:14:29,020 --> 00:14:32,060 +system which is the lens first of all, I can get + +263 +00:14:32,060 --> 00:14:34,880 +it from the back surface second of all, I can get + +264 +00:14:34,880 --> 00:14:37,060 +it from the posterior nodal point the posterior + +265 +00:14:37,060 --> 00:14:39,860 +nodal point sometimes applies to the back surface + +266 +00:14:39,860 --> 00:14:42,820 +and sometimes doesn't apply to the back surface + +267 +00:14:42,820 --> 00:14:45,920 +third of all, so from the back surface first of + +268 +00:14:45,920 --> 00:14:48,640 +all, from the posterior nodal point second of all, + +269 +00:14:49,000 --> 00:14:51,800 +and from the posterior principal point third of + +270 +00:14:51,800 --> 00:14:55,790 +all, so I can use the posterior principal pointas + +271 +00:14:55,790 --> 00:14:58,550 +a reference point, I start from there the + +272 +00:14:58,550 --> 00:15:00,890 +measurement as the beginning of the measurement + +273 +00:15:00,890 --> 00:15:04,410 +And you can ask, well, nodal points, we know that + +274 +00:15:04,410 --> 00:15:07,710 +they are pairs of reference points, also principal + +275 +00:15:07,710 --> 00:15:11,330 +points, another pair of reference points, you can + +276 +00:15:11,330 --> 00:15:13,190 +say, well, what .. I mean, why are there so many + +277 +00:15:13,190 --> 00:15:16,870 +reference points? Of course, nodal points have + +278 +00:15:16,870 --> 00:15:20,470 +benefits, and principal points have benefits and + +279 +00:15:20,470 --> 00:15:24,040 +other actionsHe will explain it in his time. In + +280 +00:15:24,040 --> 00:15:27,420 +the end, I have a lot of references. The first + +281 +00:15:27,420 --> 00:15:29,900 +reference, the first reference that we learned + +282 +00:15:29,900 --> 00:15:32,380 +about in this subject which is the optical axis, + +283 +00:15:33,220 --> 00:15:36,640 +which draws the object and draws the image whether + +284 +00:15:36,640 --> 00:15:40,170 +above or below The optical axis and it measures the + +285 +00:15:40,170 --> 00:15:42,970 +heights from the optical axis, from the optical + +286 +00:15:42,970 --> 00:15:45,170 +axis by measuring the height of the object and + +287 +00:15:45,170 --> 00:15:47,550 +measuring the height of the image So the line of + +288 +00:15:47,550 --> 00:15:49,930 +the optical axis, which is the axis of the lens or + +289 +00:15:49,930 --> 00:15:53,870 +the axis of the optical system is a reference + +290 +00:15:53,870 --> 00:15:56,950 +thing and it measures the heights from ithigher + +291 +00:15:56,950 --> 00:16:00,370 +and lower than it now the reference points that we + +292 +00:16:00,370 --> 00:16:03,250 +passed which are anterior and posterior nodal + +293 +00:16:03,250 --> 00:16:07,250 +point and anterior and posterior principal point I + +294 +00:16:07,250 --> 00:16:10,370 +can use them in many measurements and one of them + +295 +00:16:10,370 --> 00:16:14,070 +is the measurement of image location which means I + +296 +00:16:14,070 --> 00:16:16,330 +can measure from the posterior principal point to + +297 +00:16:16,330 --> 00:16:19,350 +the image of course through the optical axis I can + +298 +00:16:19,350 --> 00:16:21,710 +measure from the posterior nodal point to the + +299 +00:16:21,710 --> 00:16:25,260 +image I can measure from the back surface of the + +300 +00:16:25,260 --> 00:16:28,320 +lens, the vertex point, which is this vertex + +301 +00:16:28,320 --> 00:16:32,500 +point, I can measure from it the distance of the + +302 +00:16:32,500 --> 00:16:34,920 +image from the optical system Of course, the image + +303 +00:16:34,920 --> 00:16:38,880 +is not drawn here, not drawn here, but I can + +304 +00:16:38,880 --> 00:16:42,160 +measure it when I have the whole picture, I can + +305 +00:16:42,160 --> 00:16:45,280 +measure it from one of the three points, the back + +306 +00:16:45,280 --> 00:16:48,420 +surface, or the posterior nodal point, or the + +307 +00:16:48,420 --> 00:16:51,150 +posterior principal point We need to note in the + +308 +00:16:51,150 --> 00:16:55,150 +equation that everything that is on the right, the + +309 +00:16:55,150 --> 00:17:00,210 +optical system on the right, its sign is plus as + +310 +00:17:00,210 --> 00:17:03,350 +distance, and everything that is on the left, its + +311 +00:17:03,350 --> 00:17:08,410 +sign is minus as distance One can say, can the + +312 +00:17:08,410 --> 00:17:10,730 +picture be on the left? Of course the picture can + +313 +00:17:10,730 --> 00:17:13,010 +be on the left, and we will get to this in the + +314 +00:17:13,010 --> 00:17:16,510 +subject of imaginary picture or virtual image, and + +315 +00:17:16,510 --> 00:17:19,360 +this is not The important thing is that the picture + +316 +00:17:19,360 --> 00:17:24,780 +can be on the left and the object is usually on + +317 +00:17:24,780 --> 00:17:27,600 +the left but it can also be on the right and this + +318 +00:17:27,600 --> 00:17:30,040 +will be explained in due course So regardless of + +319 +00:17:30,040 --> 00:17:34,300 +everything that is on the right of the optical + +320 +00:17:34,300 --> 00:17:38,800 +system, on the right of the lens, its distance is + +321 +00:17:38,800 --> 00:17:41,000 +considered positive and everything that is on the + +322 +00:17:41,000 --> 00:17:45,500 +left is considered negative Of course frequently + +323 +00:17:46,030 --> 00:17:49,410 +The image or image distance is measured from the + +324 +00:17:49,410 --> 00:17:58,750 +posterior principal point to the image The + +325 +00:17:58,750 --> 00:18:08,150 +principal + +326 +00:18:08,150 --> 00:18:12,980 +points like like the nodal points are a pair of + +327 +00:18:12,980 --> 00:18:16,840 +useful reference points يعني المطلوب من الأن لغاية + +328 +00:18:16,840 --> 00:18:20,380 +هذه المحاضرة أنه نعرف أن ال two nodal points ال + +329 +00:18:20,380 --> 00:18:23,540 +anterior و ال posterior و ال two principal points + +330 +00:18:23,540 --> 00:18:26,740 +ال anterior و ال posterior موجودين على ال optical + +331 +00:18:26,740 --> 00:18:31,980 +axis و هم عبارة عن useful reference point the + +332 +00:18:31,980 --> 00:18:34,660 +nodal points and the principal points often + +333 +00:18:34,660 --> 00:18:38,090 +overlap غالبا ال nodal pointsand the principal + +334 +00:18:38,090 --> 00:18:43,110 +points match each other and they can be in the + +335 +00:18:43,110 --> 00:18:46,550 +same place, they all look like one point, not four + +336 +00:18:46,550 --> 00:18:50,230 +points, but technically, from a technical point of + +337 +00:18:50,230 --> 00:18:52,730 +view and from a geometrical optics point of view, + +338 +00:18:53,130 --> 00:18:57,890 +I have to look at إنهم نقات كل واحدة إلها شغلها + +339 +00:18:57,890 --> 00:19:02,210 +الخاص فيها whatever reference point is used بغض + +340 +00:19:02,210 --> 00:19:05,810 +النظر عن أي نقطة مرجعية أنا بستعمل هل بستعمل ال + +341 +00:19:05,810 --> 00:19:08,810 +posterior nodal point ولا ال posterior principal + +342 +00:19:08,810 --> 00:19:12,370 +point ولا ال back surface بتاع النسب to meet your + +343 +00:19:12,370 --> 00:19:15,570 +image distance the sign convention is always the + +344 +00:19:15,570 --> 00:19:19,940 +same دائما و أبدا بنساش الإشارة which I want to + +345 +00:19:19,940 --> 00:19:22,960 +give to this distance. Do I give it a plus sign or + +346 +00:19:22,960 --> 00:19:25,660 +minus sign? Of course, if the image is on the + +347 +00:19:25,660 --> 00:19:28,360 +right of the optical system, we give it a plus. If + +348 +00:19:28,360 --> 00:19:31,000 +it is on the left, we give it a minus. When the + +349 +00:19:31,000 --> 00:19:33,740 +image is to the right of the reference point, + +350 +00:19:34,380 --> 00:19:37,580 +image distance is positive. When the image is to + +351 +00:19:37,580 --> 00:19:40,580 +the left of the reference point, the distance is + +352 +00:19:40,580 --> 00:19:43,660 +negative. The distance is negative. We stop at + +353 +00:19:43,660 --> 00:19:47,020 +this point, and next time, God willing, we will + +354 +00:19:47,020 --> 00:19:50,470 +enter what is called the depth of focus ويعطيكم + +355 +00:19:50,470 --> 00:19:51,130 +العافية + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b6q5K7D9s1E.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b6q5K7D9s1E.srt new file mode 100644 index 0000000000000000000000000000000000000000..0b89ffd8925a7c263edd283e73ee26d530c03839 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b6q5K7D9s1E.srt @@ -0,0 +1,684 @@ + +1 +00:00:01,910 --> 00:00:04,210 +Bismillah ar-Rahman ar-Rahim. We have today an + +2 +00:00:04,210 --> 00:00:09,670 +example of an eight-year-old patient who has right + +3 +00:00:09,670 --> 00:00:13,050 +hypermetropia, four prism diopter, and his + +4 +00:00:13,050 --> 00:00:16,530 +refraction, the right eye, two prism, and the left + +5 +00:00:16,530 --> 00:00:19,570 +eye, minus three, sorry, two diopter, plus two + +6 +00:00:19,570 --> 00:00:24,390 +diopter, hypermetropia, and the left eye, minus + +7 +00:00:24,390 --> 00:00:27,970 +three diopter, myopia. الان بدناش نلخبط بين كلمة + +8 +00:00:27,970 --> 00:00:31,110 +hypertropia، هدي حوال، يعني حوال للأعلى، + +9 +00:00:31,110 --> 00:00:34,110 +hypertropia، زي ما الصورة بتوضح أن العين اليمين + +10 +00:00:34,110 --> 00:00:37,870 +فيها الحوال جاي للأعلى، العين الشمال straight، و + +11 +00:00:37,870 --> 00:00:40,910 +اليمين طالع للأعلى، ده بيسموها hypertropia، + +12 +00:00:40,910 --> 00:00:43,770 +الhypermetropia هو refractive error طول نظر، هدى + +13 +00:00:43,770 --> 00:00:46,850 +حاجة و هدى حاجة، الhypermetropia بقدر أعبر عنها + +14 +00:00:46,850 --> 00:00:53,390 +بكلمة hyperopia. But hypertropia means around. The + +15 +00:00:53,390 --> 00:00:56,430 +important thing is that the patient has right + +16 +00:00:56,430 --> 00:00:59,030 +hypertropia. The right eye is higher than the left + +17 +00:00:59,030 --> 00:01:04,350 +eye by 4 degrees. The refraction in the right eye + +18 +00:01:04,350 --> 00:01:09,570 +is plus 2 hypermetropia and the left eye is minus 3 + +19 +00:01:09,570 --> 00:01:15,670 +myopia. How by this decentration we can overcome + +20 +00:01:15,670 --> 00:01:20,170 +his squint or her squint if they are female. Now + +21 +00:01:20,170 --> 00:01:22,450 +the answer. Before we start with the answer. + +22 +00:01:26,650 --> 00:01:31,250 +The answer, we want to talk about briefly. When we + +23 +00:01:31,250 --> 00:01:33,270 +say right hypertropia, + +24 +00:01:35,050 --> 00:01:40,400 +this is exactly equal to left hypotropia. What does right + +25 +00:01:40,400 --> 00:01:42,900 +hyper mean equals left hyper? When I say that the + +26 +00:01:42,900 --> 00:01:47,040 +right eye is up compared to the left eye, I can say + +27 +00:01:47,040 --> 00:01:49,860 +that the left eye is down, which is hypo, compared + +28 +00:01:49,860 --> 00:01:54,020 +to the right eye. So whether I said right + +29 +00:01:54,020 --> 00:01:59,680 +hypertropia + +30 +00:01:59,680 --> 00:02:02,920 +or + +31 +00:02:02,920 --> 00:02:08,200 +I said left + +32 +00:02:10,720 --> 00:02:14,000 +hypotropia, these two expressions express the same + +33 +00:02:14,000 --> 00:02:18,170 +thing. So right hyper is the same as left hyper. You + +34 +00:02:18,170 --> 00:02:20,390 +can say that you see the left as straight, that's + +35 +00:02:20,390 --> 00:02:23,170 +right, it's not straight. But if we compare it with + +36 +00:02:23,170 --> 00:02:25,090 +the right eye, what will it be compared to? It + +37 +00:02:25,090 --> 00:02:27,550 +will be compared to the right eye. So whether I say + +38 +00:02:27,550 --> 00:02:29,970 +right hyper, as shown in the picture in front of + +39 +00:02:29,970 --> 00:02:34,510 +me or I say left hypotropia, it's the same thing. + +40 +00:02:34,510 --> 00:02:35,730 +What's this going to help me with the + +41 +00:02:35,730 --> 00:02:38,990 +decentration? I'll talk about it later. If I wanted + +42 +00:02:38,990 --> 00:02:42,400 +to do decentration in both lenses, it means that I + +43 +00:02:42,400 --> 00:02:46,340 +consider this hyper and this is hypo. And we always + +44 +00:02:46,340 --> 00:02:50,060 +said that when I want the prism to correct the + +45 +00:02:50,060 --> 00:02:54,540 +surrounding function, first we have to bring the + +46 +00:02:54,540 --> 00:02:55,240 +prism forward. + +47 +00:02:59,640 --> 00:03:02,440 +The apex of the prism points towards the + +48 +00:03:02,440 --> 00:03:04,420 +circumference. Here it points towards the top, + +49 +00:03:04,580 --> 00:03:08,760 +right hyper. The apex is up and the base is down. + +50 +00:03:09,180 --> 00:03:11,960 +If I want to do decentration also, it is not + +51 +00:03:11,960 --> 00:03:14,160 +enough to do decentration in one lens and it will + +52 +00:03:14,160 --> 00:03:20,670 +not be enough by the way, then I will have to I put + +53 +00:03:20,670 --> 00:03:22,590 +or make a decentration in front of the other lens + +54 +00:03:22,590 --> 00:03:25,870 +which is to the left eye. I want the prism to be + +55 +00:03:25,870 --> 00:03:33,770 +facing down to its apex. So + +56 +00:03:33,770 --> 00:03:40,290 +it will be here base up, here base up and here base + +57 +00:03:40,290 --> 00:03:42,750 +down, because this is hypo, hypo means down, so its + +58 +00:03:42,750 --> 00:03:45,170 +apex has to be down. + +59 +00:03:47,900 --> 00:03:51,100 +So, what is required is that I remove the center + +60 +00:03:51,100 --> 00:03:54,480 +of the left eye's lens in order to give me a base + +61 +00:03:54,480 --> 00:03:57,080 +down prism and what is required is that I remove + +62 +00:03:57,080 --> 00:04:02,380 +the center of the right eye's + +63 +00:04:02,380 --> 00:04:05,120 +lens in order to give me a base down prism and + +64 +00:04:05,120 --> 00:04:09,280 +what is required is that I remove also the center of + +65 +00:04:09,280 --> 00:04:12,640 +the left eye, so that it gives me a base up prism. + +66 +00:04:12,640 --> 00:04:16,480 +Base up prism should be a set of two prisms. + +67 +00:04:16,480 --> 00:04:23,420 +equals four prisms. equals four prisms. فبتالي هذه + +68 +00:04:23,420 --> 00:04:26,580 +القضية بدها تكون واضحة، هذه القضية بدها تكون + +69 +00:04:26,580 --> 00:04:31,760 +واضحة. طيب، الآن ما ننساش أنه العدسة الشمال minus + +70 +00:04:31,760 --> 00:04:36,220 +مقطعها الرأسي بالشكل هذا و العدسة اليمين plus + +71 +00:04:36,220 --> 00:04:39,740 +مقطعها الرأسي بالشكل هذا. أنا الأربعة prism بدا + +72 +00:04:39,740 --> 00:04:42,700 +أجسمهم اتنين prism between the two eyes + +73 +00:04:48,460 --> 00:04:51,000 +The main goal is the decentration that is supposed + +74 +00:04:51,000 --> 00:04:55,020 +to occur in the right eye, in the right lens, + +75 +00:04:55,240 --> 00:04:56,640 +which is plus two diopters. + +76 +00:04:59,280 --> 00:05:04,220 +The prismatic effect is + +77 +00:05:04,220 --> 00:05:07,000 +equal to H in D. H is what is required, what is + +78 +00:05:07,000 --> 00:05:10,280 +required to be known. The prismatic effect is + +79 +00:05:10,280 --> 00:05:14,640 +supposed to be two prisms to the right equal to H + +80 +00:05:15,270 --> 00:05:19,290 +اللي بدي أعرفها و دي اللي هي اتنين ديوتر اتنين + +81 +00:05:19,290 --> 00:05:29,070 +ديوتر إذا H H تساوي H small تساوي + +82 +00:05:30,230 --> 00:05:36,310 +2x2 means 1 cm. So the center should move 1 cm + +83 +00:06:00,310 --> 00:06:07,970 +down. Decentration down. The + +84 +00:06:07,970 --> 00:06:13,850 +prism must go down by 1 cm. This is for the right + +85 +00:06:13,850 --> 00:06:21,030 +eye. So, for the right eye + +86 +00:06:21,030 --> 00:06:24,390 +the left eye + +87 +00:06:32,190 --> 00:06:35,930 +In the left eye, we say that the prismatic effect + +88 +00:06:35,930 --> 00:06:44,150 +is equal to H in D, and it is equal to the + +89 +00:06:44,150 --> 00:06:46,710 +required prismatic effect, which is equal to two + +90 +00:06:46,710 --> 00:06:52,090 +prisms. We fixed two prisms in the right eye, and we + +91 +00:06:52,090 --> 00:06:53,870 +want to fix two more prisms, which is the + +92 +00:06:53,870 --> 00:06:58,050 +circumference of the whole, okay? Equal to H, I + +93 +00:06:58,050 --> 00:07:00,490 +want to know how much I want to move, in D, which + +94 +00:07:00,490 --> 00:07:03,290 +is the diopter of the left lens, which is three. + +95 +00:07:04,130 --> 00:07:16,110 +So, H is equal to two over three, two centimeters. + +96 +00:07:18,290 --> 00:07:22,690 +It's equal to + +97 +00:07:22,690 --> 00:07:28,850 +about 6.6 millimeters. So, where do I move it to + +98 +00:07:28,850 --> 00:07:32,390 +give me a base up prism? Do I move it up? + +99 +00:07:38,530 --> 00:07:42,150 +Do I + +100 +00:07:42,150 --> 00:07:46,230 +move it up or down? If I move it up, it will give + +101 +00:07:46,230 --> 00:07:50,220 +me a base down effect. بس ده غلط لإن أنا المطلوب + +102 +00:07:50,220 --> 00:07:53,800 +بالنسبة إلي لبريزم لإن هي hypo بالنسبة لل right + +103 +00:07:53,800 --> 00:07:57,940 +eye وكأنه هي hypo بتنين وهذه hyper بتنين الفرق + +104 +00:07:57,940 --> 00:08:02,340 +بينهم أربعة prism. أربعة prism. فبالتالي عشان أحصل + +105 +00:08:02,340 --> 00:08:06,480 +على based up effect لازم أيضا ال center بتاع + +106 +00:08:06,480 --> 00:08:09,980 +العدسة ال minus ينزل لتحت فبتصير العين تتطلع من + +107 +00:08:09,980 --> 00:08:15,560 +based up prism. إذا أيضا down decentration. + +108 +00:08:17,810 --> 00:08:22,670 +Down decentration, this is the point we wanted to + +109 +00:08:22,670 --> 00:08:26,510 +point out. Point out. Ok, now a person can ask a + +110 +00:08:26,510 --> 00:08:31,690 +question and say, I can calculate the amount of + +111 +00:08:31,690 --> 00:08:35,810 +the prismatic effect, or the prismatic difference + +112 +00:08:35,810 --> 00:08:38,790 +between the two eyes is unequal, here we say, we + +113 +00:08:38,790 --> 00:08:42,910 +want to fix two prisms for the right eye and two + +114 +00:08:42,910 --> 00:08:46,310 +prisms for the left eye, this one fixes two prisms + +115 +00:08:46,310 --> 00:08:47,870 +for me, and this one fixes two prisms for you. Can + +116 +00:08:47,870 --> 00:08:51,510 +the left eye fix three prisms and the right eye + +117 +00:08:51,510 --> 00:08:54,290 +fix one prism? Yes, it is possible, very possible. + +118 +00:08:54,290 --> 00:08:58,930 +Let's see how the solution will be. We say as + +119 +00:08:58,930 --> 00:09:04,620 +follows: For the right eye. The right eye of 4 prisms correct + +120 +00:09:04,620 --> 00:09:08,200 +to only 1 prism. + +121 +00:09:32,820 --> 00:09:35,660 +It's equal to one over two, which is half a + +122 +00:09:35,660 --> 00:09:40,160 +centimeter. When also down-decentration to get a + +123 +00:09:40,160 --> 00:09:43,840 +base down effect before the right high. So down + +124 +00:09:43,840 --> 00:09:45,560 +-decentration is five millimeters. + +125 +00:09:49,740 --> 00:09:51,180 +And this can be done practically. + +126 +00:10:03,550 --> 00:10:11,350 +Down decentration now for the left eye. + +127 +00:10:11,350 --> 00:10:16,230 +The + +128 +00:10:16,230 --> 00:10:18,310 +prismatic effect is that I have three prisms that + +129 +00:10:18,310 --> 00:10:21,550 +I want to correct. I corrected one prism, so we say + +130 +00:10:21,550 --> 00:10:24,050 +that the prismatic effect is equal to h times d, + +131 +00:10:24,050 --> 00:10:27,750 +which I want to get, of course, I want three prisms. + +132 +00:10:27,750 --> 00:10:32,440 +Equal to H, which is unknown to me, divided by D, + +133 +00:10:32,540 --> 00:10:34,660 +which is three, which is the power of the negative + +134 +00:10:34,660 --> 00:10:41,720 +lens of my left eye. So, H is equal to + +135 +00:10:41,720 --> 00:10:46,320 +one centimeter. So, I also need down-decentration to + +136 +00:10:46,320 --> 00:10:48,960 +get a base-up effect. Down-decentration. + +137 +00:10:56,270 --> 00:11:00,230 +في الحالتين في العينتين down في العينتين down سواء + +138 +00:11:00,230 --> 00:11:05,390 +استخدمت جسمت الprismatic quantity + +139 +00:11:05,390 --> 00:11:09,790 +of squint كمية الحول بالبرزمات جسمته بالتساوي بين + +140 +00:11:09,790 --> 00:11:13,410 +العينتين أو جسمته بدون تساوي بين العينتين هشتغل + +141 +00:11:13,410 --> 00:11:16,410 +على ال apprentice rule اللي هي الprismatic effect + +142 +00:11:16,410 --> 00:11:21,980 +بتاع ال lens يسوى H في D يسوى H في D. Here, the + +143 +00:11:21,980 --> 00:11:26,480 +decentration is 1 cm on the right and 6.6 cm on + +144 +00:11:26,480 --> 00:11:30,440 +the left. Here, the concentration is 0.5 cm on the + +145 +00:11:30,440 --> 00:11:34,480 +right and 1 cm on the left, 1 cm on the left. All + +146 +00:11:34,480 --> 00:11:36,320 +the quantities are accepted whether you follow + +147 +00:11:36,320 --> 00:11:41,360 +this way or that way. Usually, the lens that has + +148 +00:11:41,360 --> 00:11:44,060 +refractive error, usually + +149 +00:11:49,370 --> 00:12:06,930 +we use, or let's say, usually the lens with + +150 +00:12:06,930 --> 00:12:14,910 +the higher power accounts + +151 +00:12:14,910 --> 00:12:15,390 +for + +152 +00:12:19,630 --> 00:12:26,290 +prismatic, or accounts more for prismatic, more for + +153 +00:12:26,290 --> 00:12:32,890 +prismatic correction, or prismatic effect. So if I + +154 +00:12:32,890 --> 00:12:36,430 +have two lenses, the first one for example has + +155 +00:12:36,430 --> 00:12:38,010 +four diopters and the second one has eight + +156 +00:12:38,010 --> 00:12:41,230 +diopters, the concentration of the eight diopters + +157 +00:12:41,230 --> 00:12:45,690 +gives me more effect than the concentration of the + +158 +00:12:45,690 --> 00:12:48,170 +four diopters. That's why I focus on the lens that + +159 +00:12:48,170 --> 00:12:54,010 +has a high refractive error or high power, because + +160 +00:12:54,010 --> 00:12:56,770 +the least concentration of concentration will give + +161 +00:12:56,770 --> 00:12:59,420 +me effect. In other words, if I move the fourth + +162 +00:12:59,420 --> 00:13:02,460 +diopter by one centimeter, it will give me four + +163 +00:13:02,460 --> 00:13:05,980 +prisms, while if I move the eighth diopter by one + +164 +00:13:05,980 --> 00:13:09,200 +centimeter, it will give me eight prisms. So, this + +165 +00:13:09,200 --> 00:13:12,260 +is a rule that is necessary for us in order to + +166 +00:13:12,260 --> 00:13:16,960 +divide the surrounding area and correct it with + +167 +00:13:16,960 --> 00:13:20,890 +prismatic decentration, or the prismatic effect by + +168 +00:13:20,890 --> 00:13:25,950 +decentration of lenses. يعني المفروض ناخد بالنا أنه + +169 +00:13:25,950 --> 00:13:31,090 +ال lens الأقوى بن .. بنعطيها حصة أكبر من الحوار + +170 +00:13:31,090 --> 00:13:34,110 +هنا بتنتهي المسألة ويعطيكم العافية والسلام عليكم + +171 +00:13:34,110 --> 00:13:35,730 +ورحمة الله وبركاته diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b_2PfffxlHE.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b_2PfffxlHE.srt new file mode 100644 index 0000000000000000000000000000000000000000..a7e2a5c278b0eec883c6aafbdf2dcc794e9829e7 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b_2PfffxlHE.srt @@ -0,0 +1,1710 @@ + +1 +00:00:00,520 --> 00:00:05,080 +بسم الله الرحمن الرحيم، بنستكمل مع محاضرات الـ + +2 +00:00:05,080 --> 00:00:09,880 +Geometric Optics، واتوقفنا عند الـ Central Ray for + +3 +00:00:09,880 --> 00:00:14,280 +Mirrors، أو الشعاع الرئيسي للمرايا، The Central + +4 +00:00:14,280 --> 00:00:17,380 +Ray for Mirrors is just as useful as the Central + +5 +00:00:17,380 --> 00:00:21,260 +Ray for Lenses. means that the central ray is + +6 +00:00:21,260 --> 00:00:26,840 +useful in + +7 +00:00:26,840 --> 00:00:30,560 +the case of mirrors as well as in the case of + +8 +00:00:30,560 --> 00:00:36,500 +lenses because if image location is determined by + +9 +00:00:36,500 --> 00:00:39,920 +vergence calculations if we use the vergence + +10 +00:00:39,920 --> 00:00:43,320 +equation u plus p equals v to determine the + +11 +00:00:43,320 --> 00:00:47,570 +location of the image which is the image location. + +12 +00:00:48,030 --> 00:00:51,710 +The central ray helps us directly by indicating + +13 +00:00:51,710 --> 00:00:54,590 +the orientation and size of the image. The + +14 +00:00:54,590 --> 00:00:57,530 +orientation means if it is above the optical axis + +15 +00:00:57,530 --> 00:00:59,730 +or below the optical axis, which means straight or + +16 +00:00:59,730 --> 00:01:02,990 +curved. And the size means the magnification of + +17 +00:01:02,990 --> 00:01:07,040 +the image, which will be shown later. The first + +18 +00:01:07,040 --> 00:01:11,020 +thing is what is the central ray for mirror? The + +19 +00:01:11,020 --> 00:01:14,600 +central ray is any ray from any point that enters + +20 +00:01:14,600 --> 00:01:17,320 +the center of the curvature, not in the focus. We + +21 +00:01:17,320 --> 00:01:21,500 +said R from the center of the ball, which is the + +22 +00:01:21,500 --> 00:01:25,270 +mirror is part of it from R to 2F, which means that + +23 +00:01:25,270 --> 00:01:27,750 +half of the distance is equal to F. This is called + +24 +00:01:27,750 --> 00:01:30,110 +a central rail because it enters the center. It + +25 +00:01:30,110 --> 00:01:34,830 +enters the center of the woman's sphere. Here, + +26 +00:01:35,070 --> 00:01:39,650 +too, for the convex mirror, the mirrors behind it + +27 +00:01:39,650 --> 00:01:45,170 +in the virtual space, فبالتالي أي central ray موجه + +28 +00:01:45,170 --> 00:01:50,790 +باتجاهه، أي خط لو مدناه، طبعا الضوء مش هيخترق، مش + +29 +00:01:50,790 --> 00:01:55,970 +هيخترق المرايو، لكن هينعكس، بس أي واحد، أي ray، من + +30 +00:01:55,970 --> 00:02:03,430 +أي نقطة، امتداده بيدخل فيه R in the center of the + +31 +00:02:03,430 --> 00:02:09,930 +mirror is considered a central area Note that + +32 +00:02:09,930 --> 00:02:13,310 +using the ratio of image distance to object + +33 +00:02:13,310 --> 00:02:16,450 +distance to calculate the size of the image, the + +34 +00:02:16,450 --> 00:02:20,210 +image and object distances are measured either + +35 +00:02:20,210 --> 00:02:23,690 +from the center of curvature of the mirror or from + +36 +00:02:23,690 --> 00:02:25,190 +the surface of the mirror + +37 +00:02:29,040 --> 00:02:32,240 +هي أنا عندي ال image، هيها، مش واضحة كتير، بس هنا + +38 +00:02:32,240 --> 00:02:35,440 +.. هنا في المنطقة هاي، ال image بتاعة الشامعة، وهي + +39 +00:02:35,440 --> 00:02:40,860 +ال object إذا أنا بده أجيس، ممكن أقول .. اعتمد ال + +40 +00:02:40,860 --> 00:02:43,500 +center of curvature أجيس منه، أقول هاي ال object + +41 +00:02:43,500 --> 00:02:46,820 +distance from here to here and this is image + +42 +00:02:46,820 --> 00:02:50,220 +distance when I divide image distance by object + +43 +00:02:50,220 --> 00:02:53,920 +distance I get transphase magnification or I can + +44 +00:02:53,920 --> 00:02:56,340 +depend on the surface of the mirror I say this is + +45 +00:02:56,340 --> 00:02:58,240 +image distance from the image to the surface of + +46 +00:02:58,240 --> 00:03:02,100 +the mirror and this is object distance from the + +47 +00:03:02,100 --> 00:03:04,400 +object to the surface of the mirror, regardless of + +48 +00:03:04,400 --> 00:03:07,140 +which one is extended, the answer will be the same + +49 +00:03:07,140 --> 00:03:10,320 +in both cases, that is, the answer is correct and + +50 +00:03:10,320 --> 00:03:13,040 +there is no difference between them, so the point + +51 +00:03:13,040 --> 00:03:15,480 +of measurement for the object distance and for the + +52 +00:03:15,480 --> 00:03:18,120 +image distance is either the center, that is, from + +53 +00:03:18,120 --> 00:03:21,000 +here to here image distance and from here to here + +54 +00:03:21,000 --> 00:03:24,780 +object distance or the surface of the mirror, + +55 +00:03:25,940 --> 00:03:28,420 +which is from the surface of the mirror to the + +56 +00:03:28,420 --> 00:03:32,130 +object from the surface of the mirror to the object + +57 +00:03:32,130 --> 00:03:34,470 +is considered object distance and from the surface + +58 +00:03:34,470 --> 00:03:37,370 +of the mirror to the image is considered image + +59 +00:03:37,370 --> 00:03:41,850 +distance whether the mirror is concave or convex + +60 +00:03:41,850 --> 00:03:44,430 +in the case of convex convex either I measure the + +61 +00:03:44,430 --> 00:03:47,170 +object distance from the center to the object and + +62 +00:03:47,170 --> 00:03:49,430 +the image distance from the center to the object + +63 +00:03:49,430 --> 00:03:51,190 +or if I want to measure from the surface of the + +64 +00:03:51,190 --> 00:03:53,790 +mirror I say this is the image distance + +65 +00:03:57,770 --> 00:04:00,210 +and this is the object distance and of course + +66 +00:04:00,210 --> 00:04:03,210 +numerically it can either be measured or I can get + +67 +00:04:03,210 --> 00:04:05,510 +it by vergence calculations by vergence + +68 +00:04:05,510 --> 00:04:24,170 +calculations there is actually a drawing the + +69 +00:04:24,170 --> 00:04:25,170 +vergence calculations + +70 +00:04:28,540 --> 00:04:32,340 +بالنسبة لـ vergence calculations, because a plane + +71 +00:04:32,340 --> 00:04:35,420 +mirror adds no vergence to light but simply + +72 +00:04:35,420 --> 00:04:38,580 +reverses its direction, vergence does not change + +73 +00:04:38,580 --> 00:04:43,040 +when light is reflected. For example, light from + +74 +00:04:43,040 --> 00:04:46,280 +an object one meter to the left of a plane mirror + +75 +00:04:46,280 --> 00:04:50,820 +has a vergence of minus one diopter at the mirror. + +76 +00:04:52,580 --> 00:04:55,960 +On reflection, the reflection will still be minus + +77 +00:04:55,960 --> 00:04:59,540 +one diopter. However, in tracing imaginary + +78 +00:04:59,540 --> 00:05:04,040 +extensions of the reflected image rays to the far + +79 +00:05:04,040 --> 00:05:06,760 +side of the mirror into virtual image space, the + +80 +00:05:06,760 --> 00:05:10,280 +virtual image is located one meter to the right of + +81 +00:05:10,280 --> 00:05:13,400 +the mirror. Let's see how to understand this issue + +82 +00:05:13,400 --> 00:05:19,100 +so that we don't have any problem. Let's take a + +83 +00:05:19,100 --> 00:05:20,080 +plain mirror with us. + +84 +00:05:26,120 --> 00:05:34,540 +and we go to the place where we stopped this is + +85 +00:05:34,540 --> 00:05:36,940 +the virgin's calculations, we put the picture here + +86 +00:05:36,940 --> 00:05:40,000 +and + +87 +00:05:40,000 --> 00:05:46,060 +we make it smaller and + +88 +00:05:46,060 --> 00:05:49,680 +we say since the man stands at a distance of one + +89 +00:05:49,680 --> 00:05:53,550 +meter, so I have one meter one meter the object + +90 +00:05:53,550 --> 00:05:57,190 +distance one meter to the left of a plane mirror + +91 +00:05:57,190 --> 00:06:00,550 +one meter to the left of a plane mirror let's see + +92 +00:06:00,550 --> 00:06:03,110 +where the picture will show up Virgin's + +93 +00:06:03,110 --> 00:06:06,610 +Calculations Calculations means u is equal to + +94 +00:06:06,610 --> 00:06:12,670 +negative n over o and is equal to negative one + +95 +00:06:12,670 --> 00:06:16,870 +over one meter and is equal to negative one + +96 +00:06:16,870 --> 00:06:20,750 +diopter So, when the refractive field of light + +97 +00:06:20,750 --> 00:06:22,870 +reaches the object, + +98 +00:06:26,290 --> 00:06:29,550 +it reaches a refractive field of minus one diode. + +99 +00:06:29,670 --> 00:06:40,900 +U plus P equals V. U equals minus one diode. plus + +100 +00:06:40,900 --> 00:06:44,480 +power is zero, the level of power is zero, it is + +101 +00:06:44,480 --> 00:06:47,100 +neither convergence nor divergence, it does not + +102 +00:06:47,100 --> 00:06:49,940 +change from the fluctuation state to the light, so + +103 +00:06:49,940 --> 00:06:56,540 +plus zero is equal to V, so V is equal to minus + +104 +00:06:56,540 --> 00:07:00,070 +one diopter As long as the light reached a + +105 +00:07:00,070 --> 00:07:03,190 +wavelength of minus 1 diopter and went out a + +106 +00:07:03,190 --> 00:07:06,570 +wavelength of minus 1 diopter, then the wavelength + +107 +00:07:06,570 --> 00:07:11,230 +did not change at all. What happened is that the + +108 +00:07:11,230 --> 00:07:13,650 +light that came from this object reached a + +109 +00:07:13,650 --> 00:07:17,290 +wavelength and returned to a wavelength and + +110 +00:07:17,290 --> 00:07:20,190 +returned to a wavelength + +111 +00:07:49,580 --> 00:07:56,860 +متشتت عن بعضها البعض بمقدار تشتتية مقدارها واحد + +112 +00:07:58,960 --> 00:08:01,040 +Diopter, minus one diopter. + +113 +00:08:05,180 --> 00:08:05,860 +Divergent. + +114 +00:08:12,320 --> 00:08:16,260 +Let's see + +115 +00:08:16,260 --> 00:08:22,040 +where the image is. Let's say V is equal to I. + +116 +00:08:28,970 --> 00:08:35,030 +I is small, then I is equal to condition on V + +117 +00:08:35,030 --> 00:08:42,670 +which is equal to condition 1 on V which is minus + +118 +00:08:42,670 --> 00:08:47,170 +1 diopter which + +119 +00:08:47,170 --> 00:08:52,540 +is equal to minus 1 meter Now we have to pay + +120 +00:08:52,540 --> 00:08:53,720 +attention to the fact that there is a distance of + +121 +00:08:53,720 --> 00:08:57,820 +minus one meter in the lenses to the left. Of + +122 +00:08:57,820 --> 00:08:59,540 +course, in the pictures we said that the image + +123 +00:08:59,540 --> 00:09:02,180 +space is inverted. So, if it was in the lens, it + +124 +00:09:02,180 --> 00:09:03,840 +would be on the left and this would be on the + +125 +00:09:03,840 --> 00:09:08,240 +right due to the divergence of the rays. So, image + +126 +00:09:08,240 --> 00:09:17,140 +is one meter to the right. If you notice, the + +127 +00:09:17,140 --> 00:09:19,620 +distance of the body when we started the example + +128 +00:09:21,330 --> 00:09:24,270 +The distance of the body is one meter to the left, + +129 +00:09:24,850 --> 00:09:27,730 +and the distance of the image is one meter to the + +130 +00:09:27,730 --> 00:09:31,670 +right. And as long as the image distance is one + +131 +00:09:31,670 --> 00:09:36,370 +over the object distance, one over one, then the + +132 +00:09:36,370 --> 00:09:42,350 +image جد الجسم في الحجم erect و جد الجسم في الحجم + +133 +00:09:42,350 --> 00:09:46,310 +جد الجسم في الحجم فبالتالي هذه القضية ضروري تكون + +134 +00:09:46,310 --> 00:09:51,770 +واضحة جدا، ضروري تكون واضحة جدا، فبالتالي هذا هو + +135 +00:09:51,770 --> 00:09:55,230 +ال vergence calculations بالنسبة ل ال plane mirror + +136 +00:09:55,230 --> 00:10:01,430 +و ال plane mirror قوتها صفر، قوتها صفر Of course, + +137 +00:10:01,490 --> 00:10:04,310 +this place is called virtual image space because + +138 +00:10:04,310 --> 00:10:08,070 +virtual image means that what is behind the mirror + +139 +00:10:08,070 --> 00:10:10,550 +is actually a space that does not exist. I mean, + +140 +00:10:10,630 --> 00:10:13,350 +we look at our picture in the mirror, but if we + +141 +00:10:13,350 --> 00:10:15,910 +look behind the mirror, there is nothing because + +142 +00:10:15,910 --> 00:10:19,530 +the light reaches the mirror and is reflected. I + +143 +00:10:19,530 --> 00:10:23,330 +mean, this is the active space for the mirror The + +144 +00:10:23,330 --> 00:10:26,170 +light goes and comes in this area, it has nothing + +145 +00:10:26,170 --> 00:10:29,430 +to do with what's behind it. But we see along the + +146 +00:10:29,430 --> 00:10:34,870 +rays, we see our image. We see our image. Of + +147 +00:10:34,870 --> 00:10:37,610 +course, the rays actually reached the mirror and + +148 +00:10:37,610 --> 00:10:41,830 +reflected in the same direction that came from it. + +149 +00:10:41,870 --> 00:10:43,750 +In the same direction that came from it. In + +150 +00:10:43,750 --> 00:10:48,530 +general. Plain mirrors create upright, as you can + +151 +00:10:48,530 --> 00:10:54,130 +see. a bright virtual image, صورة مش حقيقية a + +152 +00:10:54,130 --> 00:10:55,890 +bright virtual image, صورة مش حقيقية a bright + +153 +00:10:55,890 --> 00:10:57,250 +virtual image, صورة مش حقيقية a bright virtual + +154 +00:10:57,250 --> 00:11:00,570 +image, صورة مش حقيقية a bright virtual image, صورة + +155 +00:11:00,570 --> 00:11:02,430 +مش حقيقية a bright virtual image, صورة مش حقيقية a + +156 +00:11:02,430 --> 00:11:04,370 +bright virtual image, صورة مش حقيقية a bright + +157 +00:11:04,370 --> 00:11:07,790 +virtual image, صورة مش حقيقية a bright virtual + +158 +00:11:07,790 --> 00:11:10,510 +image, صورة مش حقيقية a bright virtual image, صورة + +159 +00:11:10,510 --> 00:11:15,910 +مش حقيقية a bright virtual image, صورة مش حقيقية + +160 +00:11:16,150 --> 00:11:19,870 +Any real object in its virtual form. Why? Because + +161 +00:11:19,870 --> 00:11:23,110 +the real object is actually made of divergent + +162 +00:11:23,110 --> 00:11:27,250 +things. Divergent rays. If we add zero to it, the + +163 +00:11:27,250 --> 00:11:30,270 +power of the mirror, it will remain divergent. I + +164 +00:11:30,270 --> 00:11:36,640 +have a debt of ten dinars وماعيش أسده فبيضل عندي + +165 +00:11:36,640 --> 00:11:41,360 +عشر دينار، اذا مافيش عندي قوة سداد المستوى القوة + +166 +00:11:41,360 --> 00:11:47,500 +عندها صفر With virtual images located as far + +167 +00:11:47,500 --> 00:11:50,880 +behind the mirror as the real object is in front، + +168 +00:11:50,880 --> 00:11:56,340 +اذا هذه قاعدة plain mirrors Plain mirrors create a + +169 +00:11:56,340 --> 00:12:00,380 +bright virtual image from real objects طب لو عندي + +170 +00:12:00,380 --> 00:12:04,620 +virtual object بتكونله صورة حقيقية بتكونله صورة + +171 +00:12:04,620 --> 00:12:08,540 +حقيقية من وين بده أجيب ال virtual object لو أنا + +172 +00:12:08,540 --> 00:12:14,440 +جيبت مثلا شامعة و حطيت أمامها عدسة اللي اتجمع ضوء + +173 +00:12:14,440 --> 00:12:19,250 +الشامعة و أصطدم الضوء و هو convergent in the plane + +174 +00:12:19,250 --> 00:12:21,550 +mirror Convergent for example in the amount of + +175 +00:12:21,550 --> 00:12:24,730 +plus 2 to reflect it Convergent in the amount of + +176 +00:12:24,730 --> 00:12:27,830 +plus 2 It will neither increase nor decrease in + +177 +00:12:27,830 --> 00:12:30,510 +the fluctuation state of light So the virtual + +178 +00:12:30,510 --> 00:12:33,930 +object Here is also another rule derived from this + +179 +00:12:33,930 --> 00:12:37,570 +rule We write it so that we do not forget to say + +180 +00:12:37,570 --> 00:12:47,170 +plane mirrors create real image + +181 +00:12:53,110 --> 00:13:00,670 +of virtual objects this is also a base + +182 +00:13:22,490 --> 00:13:31,030 +So, plane mirrors create real + +183 +00:13:31,030 --> 00:13:37,050 +images of virtual objects of virtual objects and + +184 +00:13:37,050 --> 00:13:41,750 +plane mirrors create upright virtual image virtual + +185 +00:13:41,750 --> 00:13:44,910 +image for real objects and real image for virtual + +186 +00:13:44,910 --> 00:13:49,760 +objects عكس بعض، with virtual image located as far + +187 +00:13:49,760 --> 00:13:53,500 +behind the mirror as the real object is in front + +188 +00:13:53,500 --> 00:13:56,780 +طيب، + +189 +00:13:56,780 --> 00:14:01,160 +الآن أنا بدي أستعمل المراية واضح أن المراية عندي + +190 +00:14:01,160 --> 00:14:08,100 +يعني من الأرض إلى الصقف مثلا أو إلى طول هذا الرجل، + +191 +00:14:08,100 --> 00:14:13,390 +هل الراجل هذا بحتاج كل مراية عشان يشوف؟ he sees + +192 +00:14:13,390 --> 00:14:15,610 +himself completely from the bottom of his foot to + +193 +00:14:15,610 --> 00:1 + +223 +00:16:17,050 --> 00:16:20,830 +positive or converging power. If parallel rays + +224 +00:16:20,830 --> 00:16:24,270 +strike the mirror, they reflect and converge + +225 +00:16:24,270 --> 00:16:28,090 +toward a point halfway to the center of curvature. + +226 +00:16:28,270 --> 00:16:29,590 +We see this in simulation. + +227 +00:16:32,520 --> 00:16:37,100 +here I have the mirror, I want circular arc here I + +228 +00:16:37,100 --> 00:16:42,260 +have concave mirror + +229 +00:16:42,260 --> 00:16:51,720 +here + +230 +00:16:51,720 --> 00:16:54,900 +is the concave mirror, I want parallel rays + +231 +00:17:00,560 --> 00:17:04,240 +we have to reduce the density of the rays in order + +232 +00:17:04,240 --> 00:17:17,240 +to have parallel rays now + +233 +00:17:17,240 --> 00:17:24,180 +everything + +234 +00:17:24,180 --> 00:17:27,260 +becomes convergence convergence + +235 +00:17:29,450 --> 00:17:34,550 +I'm going to use a very light blocker just to make + +236 +00:17:34,550 --> 00:17:43,210 +things look clear if we + +237 +00:17:43,210 --> 00:17:53,090 +make it smaller ok + +238 +00:17:53,090 --> 00:17:57,920 +ifParallel rays that come from minus optical + +239 +00:17:57,920 --> 00:18:01,900 +infinity converges to a point, this point is the + +240 +00:18:01,900 --> 00:18:02,880 +focus of the mirror + +241 +00:18:22,230 --> 00:18:26,630 +If parallel rays strike the mirror, they reflect + +242 +00:18:26,630 --> 00:18:30,130 +and converge.toward a point halfway to the center + +243 +00:18:30,130 --> 00:18:44,030 +of curvature. The focal point + +244 +00:18:44,030 --> 00:18:48,930 +F of a concave mirror is not unique for any + +245 +00:18:48,930 --> 00:18:55,100 +central ray can serve as optical axis.Here, this + +246 +00:18:55,100 --> 00:18:57,220 +is the optical axis. The lenses have only one + +247 +00:18:57,220 --> 00:19:02,660 +optical axis, and this is the central ray, which + +248 +00:19:02,660 --> 00:19:06,480 +enters the nodal point. In the mirror, the order + +249 +00:19:06,480 --> 00:19:10,220 +is different. This is the central ray, the blue + +250 +00:19:10,220 --> 00:19:12,580 +one, and this is the central red ray, and this is + +251 +00:19:12,580 --> 00:19:18,770 +the central yellow ray. Each light rayكل light ray + +252 +00:19:18,770 --> 00:19:22,010 +بدخل في ال center بتاع ال curvature يعتبر central + +253 +00:19:22,010 --> 00:19:37,670 +ray طيب لو أنا عندي object هذا + +254 +00:19:37,670 --> 00:19:41,390 +ال object موجود + +255 +00:19:41,390 --> 00:19:41,610 +هنا + +256 +00:19:49,800 --> 00:19:52,560 +I will consider the blue line to be the optical + +257 +00:19:52,560 --> 00:19:56,920 +axis and the axis from the center to the surface + +258 +00:19:56,920 --> 00:20:00,860 +from the middle here is F, this is F So here there + +259 +00:20:00,860 --> 00:20:10,760 +is a focal point Ok, if the object was in + +260 +00:20:10,760 --> 00:20:17,610 +this area or in this areaSo, the red line is the + +261 +00:20:17,610 --> 00:20:20,490 +central ray. Central ray because I can consider it + +262 +00:20:20,490 --> 00:20:23,750 +the optical axis and half the distance from the + +263 +00:20:23,750 --> 00:20:26,770 +center to this surface is the focus. So, here it + +264 +00:20:26,770 --> 00:20:28,490 +is very focused, here it is very focused, here it + +265 +00:20:28,490 --> 00:20:30,810 +is very focused, here it is very focused. Every + +266 +00:20:30,810 --> 00:20:43,450 +central ray, this is a rule, every central ray in + +267 +00:20:43,450 --> 00:20:44,250 +mirrors + +268 +00:20:46,640 --> 00:20:54,860 +can work or can act as optical axis so + +269 +00:20:54,860 --> 00:20:57,920 +it's not a specific optical axis as long as I have + +270 +00:20:57,920 --> 00:21:03,030 +more than one optical axisفي عندي أكتر من focus، + +271 +00:21:03,030 --> 00:21:05,770 +هنا focal point، طبعا anterior مع posterior + +272 +00:21:05,770 --> 00:21:08,070 +منطبقين على بعضهم، هنا نفس الاشياء، هنا نفس + +273 +00:21:08,070 --> 00:21:11,410 +الاشياء، هنا نفس الاشياء، كيف أحسبه نص المسافة من + +274 +00:21:11,410 --> 00:21:15,250 +C لسطح المرأة؟ يعني نص المسافة من C لسطح المرأة، + +275 +00:21:15,250 --> 00:21:18,730 +نص .. طبعا هدولة كلهم متساوين لأنهم أنصاف أكترIt's + +276 +00:21:18,730 --> 00:21:22,110 +always and always F equals F equals F, but I have + +277 +00:21:22,110 --> 00:21:25,430 +more than F, I have more than F. So, the focal + +278 +00:21:25,430 --> 00:21:29,610 +point F of a concave mirror is not unique, it's + +279 +00:21:29,610 --> 00:21:33,550 +not a unique one, it's not similar to it. Why is + +280 +00:21:33,550 --> 00:21:36,570 +it not unique? Because for any central ray it can + +281 +00:21:36,570 --> 00:21:40,550 +serve as an optical axis. Any central ray in the + +282 +00:21:40,550 --> 00:21:45,050 +mirror can serve, can perform the function of the + +283 +00:21:45,050 --> 00:21:49,160 +optical axis.Not only that, the anterior and + +284 +00:21:49,160 --> 00:21:53,020 +posterior focal points of a concave mirror are in + +285 +00:21:53,020 --> 00:21:54,740 +exactly the same place + +286 +00:22:06,050 --> 00:22:07,890 +means that it is not in the world of the mirror. + +287 +00:22:08,030 --> 00:22:10,150 +The mirror is a world where everything is opposite + +288 +00:22:10,150 --> 00:22:12,730 +to it. Light is coming, then light is going back. + +289 +00:22:12,790 --> 00:22:16,950 +It is as if this world is blurred and here only + +290 +00:22:16,950 --> 00:22:20,350 +light is in its field to form a picture for it to + +291 +00:22:20,350 --> 00:22:23,590 +work with it as if it is an optical system. Its + +292 +00:22:23,590 --> 00:22:25,970 +field is in front of the mirror, not behind the + +293 +00:22:25,970 --> 00:22:27,930 +mirror. So here we have Bengal + +294 +00:22:31,850 --> 00:22:34,750 +The anterior and posterior focal points of a + +295 +00:22:34,750 --> 00:22:39,430 +concave mirror are in exactly the same space or + +296 +00:22:39,430 --> 00:22:43,370 +the same place. As an example, let's assume that + +297 +00:22:43,370 --> 00:22:46,810 +we have an object 1 meter away to the left of a + +298 +00:22:46,810 --> 00:22:50,890 +concave mirror with a curvature radius of half a + +299 +00:22:50,890 --> 00:22:51,250 +centimeter. + +300 +00:22:54,410 --> 00:22:56,710 +Where is the image? Let's look at the divergence + +301 +00:22:56,710 --> 00:23:01,610 +calculation. The power of the mirror is 1 over For + +302 +00:23:01,610 --> 00:23:08,070 +2 to the power of r okay here we said half of its + +303 +00:23:08,070 --> 00:23:14,050 +diameter is how much? half of its diameter radius + +304 +00:23:14,050 --> 00:23:17,090 +of curvature is 50 cm which is half a meter we + +305 +00:23:17,090 --> 00:23:19,310 +want to calculate the power of the mirror we + +306 +00:23:19,310 --> 00:23:21,610 +calculate the power of the mirror we say quickly + +307 +00:23:21,610 --> 00:23:24,490 +of course this is a detailed statement to say that + +308 +00:23:24,490 --> 00:23:27,910 +r is equal to 2f or f is equal to half of r we say + +309 +00:23:27,910 --> 00:23:34,900 +the power of the mirrorتساوي اتنين على R ويساوي + +310 +00:23:34,900 --> 00:23:43,460 +اتنين تقسيم نص متر ويساوي + +311 +00:23:43,460 --> 00:23:48,860 +طالع منها concave ده حطلها plus اتنين على نص يعني + +312 +00:23:48,860 --> 00:23:55,030 +اربع اربع diode four diopters, so plus four + +313 +00:23:55,030 --> 00:23:59,770 +diopters like what I have here this is for the + +314 +00:23:59,770 --> 00:24:03,210 +power of the mirror put it on the side and now we + +315 +00:24:03,210 --> 00:24:10,370 +want to calculate the object at a distance one + +316 +00:24:10,370 --> 00:24:14,290 +meter to the left, u is equal to negative n over o + +317 +00:24:14,290 --> 00:24:16,690 +and is equal to + +318 +00:24:22,240 --> 00:24:28,720 +Okay, u plus p equals v, it's already written here + +319 +00:24:30,740 --> 00:24:34,460 +u plus the power of the mirror is equal to v, the + +320 +00:24:34,460 --> 00:24:38,900 +power of the mirror plus 4 diopters and u minus 1 + +321 +00:24:38,900 --> 00:24:42,860 +diopter, so minus 1 diopter plus 4 diopters is + +322 +00:24:42,860 --> 00:24:45,880 +equal to v, so v remains here and we subtract it + +323 +00:24:45,880 --> 00:24:49,020 +and we get 3 diopters, v is equal to unconditional + +324 +00:24:49,020 --> 00:24:53,360 +over i, we continue here and say v is equal to + +325 +00:24:53,360 --> 00:24:54,520 +unconditional over i + +326 +00:24:59,310 --> 00:25:06,350 +إذن I تساوي N شرط على V ويساوي + +327 +00:25:06,350 --> 00:25:16,610 +واحد على plus تلاتة ديوبتر ويساوي plus تلت متر + +328 +00:25:16,610 --> 00:25:26,610 +يعني plus تلت متر ويساوي plus تلاتة و تلاتين و + +329 +00:25:26,610 --> 00:25:30,710 +تلاتة من عشرة صنط33 + +330 +00:25:30,710 --> 00:25:46,230 +.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 + +331 +00:25:48,580 --> 00:25:54,000 +the image will be 33cm on the left and not on the + +332 +00:25:54,000 --> 00:25:57,700 +right now the transfer is magnification u over v u + +333 +00:25:57,700 --> 00:26:01,580 +minus one diopter over v plus three diopters which + +334 +00:26:01,580 --> 00:26:04,420 +is minus one third so the image is inverted and + +335 +00:26:04,420 --> 00:26:06,560 +one third of the object and one third of the + +336 +00:26:06,560 --> 00:26:09,960 +object so this case must be clear we try to prove + +337 +00:26:09,960 --> 00:26:14,360 +this by simulation as much as we can + +338 +00:26:22,810 --> 00:26:30,830 +Hi, I have a mirror The + +339 +00:26:30,830 --> 00:26:36,470 +radius of curvature of it, we will try to + +340 +00:26:36,470 --> 00:26:40,910 +get a way to it + +341 +00:26:40,910 --> 00:26:47,550 +Here, + +342 +00:26:47,710 --> 00:26:51,390 +we will print the mirror here Concave mirror + +343 +00:26:55,660 --> 00:26:59,880 +Focal Length is + +344 +00:26:59,880 --> 00:27:03,520 +a mirror, not a minus lens, it's a concave mirror. + +345 +00:27:03,520 --> 00:27:07,060 +The focal length is 500mm, which is 50cm. + +346 +00:27:09,980 --> 00:27:13,780 +Now we need a point source of light to represent + +347 +00:27:13,780 --> 00:27:14,620 +the object. + +348 +00:27:23,830 --> 00:27:26,090 +It should be the point source of light at a + +349 +00:27:26,090 --> 00:27:32,470 +distance of one meter. So, we use the ruler. + +350 +00:27:45,830 --> 00:27:47,910 +We use the ruler. + +351 +00:27:52,290 --> 00:28:10,590 +The mirror should be at angle 0 And + +352 +00:28:10,590 --> 00:28:16,090 +the point source of light should be at time + +353 +00:28:24,170 --> 00:28:30,210 +on a meter distance, the apparent force is F F, + +354 +00:28:30,330 --> 00:28:36,190 +but we want R 500 milli R double F, so here F + +355 +00:28:36,190 --> 00:28:44,690 +should be 250 natural, + +356 +00:28:44,870 --> 00:28:49,610 +here the situation is better let's + +357 +00:28:49,610 --> 00:28:55,670 +seein the focal length which is 250 mm which is 25 + +358 +00:28:55,670 --> 00:29:00,050 +cm which is 4 diopters this is correct the object + +359 +00:29:00,050 --> 00:29:02,670 +is at a distance of one meter at a distance of one + +360 +00:29:02,670 --> 00:29:05,530 +meter the image is supposed to take shape at a + +361 +00:29:05,530 --> 00:29:08,170 +distance of one third of a meter let's see the + +362 +00:29:08,170 --> 00:29:17,230 +ruler not the blocker to reduce + +363 +00:29:17,230 --> 00:29:18,870 +the radiation which is not desirable + +364 +00:29:22,090 --> 00:29:28,670 +And this is a duplicate for the blocker It didn't + +365 +00:29:28,670 --> 00:29:31,050 +get a duplication, but I found it + +366 +00:29:44,730 --> 00:29:47,990 +They are actually the rays that are reflected by + +367 +00:29:47,990 --> 00:29:50,910 +two rays only, this is a ray and this is a ray, we + +368 +00:29:50,910 --> 00:29:57,670 +want to leave more That's + +369 +00:29:57,670 --> 00:30:01,790 +how the picture became a picture The simulation + +370 +00:30:01,790 --> 00:30:06,610 +needs a lot of training Okay, + +371 +00:30:07,010 --> 00:30:09,530 +here we also want this blocker to cover a part + +372 +00:30:16,950 --> 00:30:20,810 +So the rays met at this point. Notice that this + +373 +00:30:20,810 --> 00:30:23,610 +point is thirty-three centimeters. Of course this + +374 +00:30:23,610 --> 00:30:25,730 +is in centimeters. Here it is ten centimeters, + +375 +00:30:25,810 --> 00:30:28,410 +twenty, thirty, thirty-three. The picture is + +376 +00:30:28,410 --> 00:30:31,290 +upside down and the height of the object is three. + +377 +00:30:31,290 --> 00:30:33,190 +Here the height of the object is how many squares? + +378 +00:30:33,350 --> 00:30:36,690 +Square two, three, four, five. Here it is + +379 +00:30:36,690 --> 00:30:41,320 +approximately a square.and a third or a square and + +380 +00:30:41,320 --> 00:30:43,840 +four out of ten, approximately, meaning a third of + +381 +00:30:43,840 --> 00:30:45,440 +the height of the object. So this is through + +382 +00:30:45,440 --> 00:30:48,580 +simulation as much as we could to make it + +383 +00:30:48,580 --> 00:30:51,340 +invertible. So the picture of course on the left, + +384 +00:30:52,380 --> 00:30:56,060 +plus thirty-three centimeters, if we are talking + +385 +00:30:56,060 --> 00:31:01,060 +about lenses, we are talking aboutاليمين بس لما + +386 +00:31:01,060 --> 00:31:04,620 +بنحكي عن مرايه ال plus بطلع عندي معكوس العدسات + +387 +00:31:04,620 --> 00:31:09,600 +معكوس العدسات فهذه القضية بالنسبة ل ال concave + +388 +00:31:09,600 --> 00:31:13,820 +mirror ال concave mirror therefore the image is + +389 +00:31:13,820 --> 00:31:16,200 +located one third meter to the left of the mirror + +390 +00:31:16,200 --> 00:31:20,080 +in real image space it is real image it is also + +391 +00:31:20,080 --> 00:31:23,380 +minified and inverted تلت ال object يعني minified + +392 +00:31:23,380 --> 00:31:27,310 +و inverted مجلوبة below the optical axisالان + +393 +00:31:27,310 --> 00:31:31,710 +الكلام بده ينتهي او بدنا ننتقل لل convex mirror ال + +394 +00:31:31,710 --> 00:31:34,530 +convex mirror adds negative versions to the + +395 +00:31:34,530 --> 00:31:38,030 +incident light negative versions يعني اذا هو متشتت + +396 +00:31:38,030 --> 00:31:41,870 +بتشتته اكتر اذا هو convergent جاي من virtual + +397 +00:31:41,870 --> 00:31:46,290 +object بتجلل من ال convergence بتاع it is + +398 +00:31:46,290 --> 00:31:49,050 +therefore or it therefore has negative or + +399 +00:31:49,050 --> 00:31:53,420 +diverging powerThe anterior and posterior focal + +400 +00:31:53,420 --> 00:31:57,820 +points which coincide. Also for the convex mirror, + +401 +00:31:57,940 --> 00:32:00,640 +the anterior and posterior focal points are + +402 +00:32:00,640 --> 00:32:03,420 +adjacent to each other, but behind the mirror in + +403 +00:32:03,420 --> 00:32:09,660 +the focal or virtual space.Virtual focal points. + +404 +00:32:09,900 --> 00:32:13,420 +Virtual means that they will not get light at all. + +405 +00:32:13,520 --> 00:32:14,620 +Because they will be reflected from the surface of + +406 +00:32:14,620 --> 00:32:18,460 +the mirror. They are + +407 +00:32:18,460 --> 00:32:21,340 +located halfway between the surface of the mirror + +408 +00:32:21,340 --> 00:32:25,920 +and the center of curvature. They are located + +409 +00:32:25,920 --> 00:32:29,940 +halfway between the surface of the mirror and the + +410 +00:32:29,940 --> 00:32:32, + +445 +00:34:52,910 --> 00:34:57,030 +the right of image in this case the image rays are + +446 +00:34:57,030 --> 00:35:00,210 +diverging and a virtual image will appear to be + +447 +00:35:00,210 --> 00:35:03,310 +located will appear to be located it will appear + +448 +00:35:03,310 --> 00:35:06,850 +to be located at a distance of 20 cm to the right + +449 +00:35:06,850 --> 00:35:10,290 +of the mirror the image is minified and erected of + +450 +00:35:10,290 --> 00:35:13,170 +course virtual because the v is minus virtual + +451 +00:35:13,170 --> 00:35:16,090 +because the v is minus we will try to simulate + +452 +00:35:16,090 --> 00:35:23,170 +this again this is the grid this is the ruler + +453 +00:35:25,840 --> 00:35:44,620 +And here we started from zero Now + +454 +00:35:44,620 --> 00:35:49,520 +we need a mirror Ideal mirror, we put it under + +455 +00:36:01,200 --> 00:36:04,780 +Let's put it at the decimal point 100 And there we + +456 +00:36:04,780 --> 00:36:17,600 +put it at 1100 at 110 cm So that we can start + +457 +00:36:17,600 --> 00:36:22,420 +with the point source of light The first thing we + +458 +00:36:22,420 --> 00:36:28,100 +need is the mirror Its strength should be minus 5 + +459 +00:36:28,100 --> 00:36:35,140 +diopters إذن minus 250 لأ الاربع ده يبتر اه minus 4 + +460 +00:36:35,140 --> 00:36:41,310 +ده يبتر إذا minus 250 The power of it The mirror + +461 +00:36:41,310 --> 00:36:45,190 +Ideal curved mirror As long as the minus means I + +462 +00:36:45,190 --> 00:36:49,410 +have this Convex mirror Convex mirror Now we want + +463 +00:36:49,410 --> 00:36:52,810 +to get point source of light We put it at a + +464 +00:36:52,810 --> 00:36:54,410 +distance of one thousand and two hundred meters To + +465 +00:36:54,410 --> 00:36:56,630 +be here two hundred to one thousand and two means + +466 +00:36:56,630 --> 00:37:00,170 +one meter And we make the height six squares + +467 +00:37:00,170 --> 00:37:08,210 +Square two three four five six Or five to see What + +468 +00:37:08,210 --> 00:37:16,230 +will come out with me? The light is divergent, it + +469 +00:37:16,230 --> 00:37:19,950 +is clear that it is divergent But we need to + +470 +00:37:19,950 --> 00:37:25,830 +enlarge the mirror in the beginning That's + +471 +00:37:25,830 --> 00:37:30,870 +how we enlarged the mirror, okay? Okay, now we + +472 +00:37:30,870 --> 00:37:35,130 +need a blocker To cancel all the radiation that we + +473 +00:37:35,130 --> 00:37:41,540 +do not want with it and it doesn't disturb our + +474 +00:37:41,540 --> 00:37:44,920 +vision ok + +475 +00:37:44,920 --> 00:37:54,940 +here we also need duplication for the blocker here + +476 +00:37:54,940 --> 00:37:59,380 +I have three signals one went in a certain + +477 +00:37:59,380 --> 00:38:01,780 +direction and the other in a different direction + +478 +00:38:01,780 --> 00:38:09,090 +if we ask for extension The picture here is 20 cm + +479 +00:38:09,090 --> 00:38:14,670 +wide, 20 cm, so 20 cm is usually small, 20 cm is + +480 +00:38:14,670 --> 00:38:19,370 +usually small If we right click and try to see how + +481 +00:38:19,370 --> 00:38:25,110 +high it is, of course, the height is It's supposed + +482 +00:38:25,110 --> 00:38:33,370 +to be five height .. five height of the object But + +483 +00:38:33,370 --> 00:38:35,470 +I have here .. maybe I made a mistake in drawing + +484 +00:38:35,470 --> 00:38:43,670 +Maybe + +485 +00:38:43,670 --> 00:38:48,880 +I made a mistake in drawing لأن مافيش تحكم كتير + +486 +00:38:48,880 --> 00:38:52,260 +بالإشعارات، القصد إنه هتطلع على قعد عشرين سانتي + +487 +00:38:52,260 --> 00:38:55,300 +تماما to the right و هذه virtual، ليش؟ لأن ال + +488 +00:38:55,300 --> 00:38:58,840 +image بنعكس من ال mirror divergent، divergent، + +489 +00:38:58,840 --> 00:39:01,680 +فبالتالي هذه القضية بال divergence calculation + +490 +00:39:01,680 --> 00:39:05,980 +ممكن تحسن، اتوقف عند هذه المقطة و يعطيكم العافية و + +491 +00:39:05,980 --> 00:39:08,320 +السلام عليكم و رحمة الله وبركة diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b_2PfffxlHE_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b_2PfffxlHE_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..1dfff7319d8db4071bf658e60235eeb852d0371e --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/b_2PfffxlHE_postprocess.srt @@ -0,0 +1,1964 @@ +1 +00:00:00,520 --> 00:00:05,080 +بسم الله الرحمن الرحيم، بنستكمل مع محاضرات الـ + +2 +00:00:05,080 --> 00:00:09,880 +Geometric Optics، واتوقفنا عند الـ Central Ray for + +3 +00:00:09,880 --> 00:00:14,280 +Mirrors، أو الشعاع الرئيسي للمرايا، The Central + +4 +00:00:14,280 --> 00:00:17,380 +Ray for Mirrors is just as useful as the Central + +5 +00:00:17,380 --> 00:00:21,260 +Ray for Lenses.means that the central ray is + +6 +00:00:21,260 --> 00:00:26,840 +useful in + +7 +00:00:26,840 --> 00:00:30,560 +the case of mirrors as well as in the case of + +8 +00:00:30,560 --> 00:00:36,500 +lenses because if image location is determined by + +9 +00:00:36,500 --> 00:00:39,920 +vergence calculations if we use the vergence + +10 +00:00:39,920 --> 00:00:43,320 +equation u plus p equals v to determine the + +11 +00:00:43,320 --> 00:00:47,570 +location of the imagewhich is the image location. + +12 +00:00:48,030 --> 00:00:51,710 +The central ray helps us directly by indicating + +13 +00:00:51,710 --> 00:00:54,590 +the orientation and size of the image. The + +14 +00:00:54,590 --> 00:00:57,530 +orientation means if it is above the optical axis + +15 +00:00:57,530 --> 00:00:59,730 +or below the optical axis, which means straight or + +16 +00:00:59,730 --> 00:01:02,990 +curved. And the size means the magnification of + +17 +00:01:02,990 --> 00:01:07,040 +the image, which will be shown later.The first + +18 +00:01:07,040 --> 00:01:11,020 +thing is what is the central ray for mirror? The + +19 +00:01:11,020 --> 00:01:14,600 +central ray is any ray from any point that enters + +20 +00:01:14,600 --> 00:01:17,320 +the center of the curvature, not in the focus. We + +21 +00:01:17,320 --> 00:01:21,500 +said R from the center of the ball, which is the + +22 +00:01:21,500 --> 00:01:25,270 +mirror is part of itfrom R to 2F, which means that + +23 +00:01:25,270 --> 00:01:27,750 +half of the distance is equal to F. This is called + +24 +00:01:27,750 --> 00:01:30,110 +a central rail because it enters the center. It + +25 +00:01:30,110 --> 00:01:34,830 +enters the center of the woman's sphere. Here, + +26 +00:01:35,070 --> 00:01:39,650 +too, for the convex mirror, the mirrors behind it + +27 +00:01:39,650 --> 00:01:45,170 +in the virtual space,فبالتالي أي central ray موجه + +28 +00:01:45,170 --> 00:01:50,790 +باتجاهه، أي خط لو مدناه، طبعا الضوء مش هيخترق، مش + +29 +00:01:50,790 --> 00:01:55,970 +هيخترق المرايو، لكن هينعكس، بس أي واحد، أي ray، من + +30 +00:01:55,970 --> 00:02:03,430 +أي نقطة، امتداده بيدخل فيهR in the center of the + +31 +00:02:03,430 --> 00:02:09,930 +mirror is considered a central area Note that + +32 +00:02:09,930 --> 00:02:13,310 +using the ratio of image distance to object + +33 +00:02:13,310 --> 00:02:16,450 +distance to calculate the size of the image, the + +34 +00:02:16,450 --> 00:02:20,210 +image and object distances are measured either + +35 +00:02:20,210 --> 00:02:23,690 +from the center of curvature of the mirror or from + +36 +00:02:23,690 --> 00:02:25,190 +the surface of the mirror + +37 +00:02:29,040 --> 00:02:32,240 +هي أنا عندي ال image، هيها، مش واضحة كتير، بس هنا + +38 +00:02:32,240 --> 00:02:35,440 +.. هنا في المنطقة هاي، ال image بتاعة الشامعة، وهي + +39 +00:02:35,440 --> 00:02:40,860 +ال object إذا أنا بده أجيس، ممكن أقول .. اعتمد ال + +40 +00:02:40,860 --> 00:02:43,500 +center of curvature أجيس منه، أقول هاي ال object + +41 +00:02:43,500 --> 00:02:46,820 +distancefrom here to here and this is image + +42 +00:02:46,820 --> 00:02:50,220 +distance when I divide image distance by object + +43 +00:02:50,220 --> 00:02:53,920 +distance I get transphase magnification or I can + +44 +00:02:53,920 --> 00:02:56,340 +depend on the surface of the mirror I say this is + +45 +00:02:56,340 --> 00:02:58,240 +image distance from the image to the surface of + +46 +00:02:58,240 --> 00:03:02,100 +the mirror and this is object distancefrom the + +47 +00:03:02,100 --> 00:03:04,400 +object to the surface of the mirror, regardless of + +48 +00:03:04,400 --> 00:03:07,140 +which one is extended, the answer will be the same + +49 +00:03:07,140 --> 00:03:10,320 +in both cases, that is, the answer is correct and + +50 +00:03:10,320 --> 00:03:13,040 +there is no difference between them, so the point + +51 +00:03:13,040 --> 00:03:15,480 +of measurement for the object distance and for the + +52 +00:03:15,480 --> 00:03:18,120 +image distance is either the center, that is, from + +53 +00:03:18,120 --> 00:03:21,000 +here to here image distance and from here to here + +54 +00:03:21,000 --> 00:03:24,780 +object distance or the surface of the mirror, + +55 +00:03:25,940 --> 00:03:28,420 +which is from the surface of the mirror to the + +56 +00:03:28,420 --> 00:03:32,130 +objectfrom the surface of the mirror to the object + +57 +00:03:32,130 --> 00:03:34,470 +is considered object distance and from the surface + +58 +00:03:34,470 --> 00:03:37,370 +of the mirror to the image is considered image + +59 +00:03:37,370 --> 00:03:41,850 +distance whether the mirror is concave or convex + +60 +00:03:41,850 --> 00:03:44,430 +in the case of convex convex either I measure the + +61 +00:03:44,430 --> 00:03:47,170 +object distance from the center to the object and + +62 +00:03:47,170 --> 00:03:49,430 +the image distance from the center to the object + +63 +00:03:49,430 --> 00:03:51,190 +or if I want to measure from the surface of the + +64 +00:03:51,190 --> 00:03:53,790 +mirror I say this is the image distance + +65 +00:03:57,770 --> 00:04:00,210 +and this is the object distance and of course + +66 +00:04:00,210 --> 00:04:03,210 +numerically it can either be measured or I can get + +67 +00:04:03,210 --> 00:04:05,510 +it by vergence calculations by vergence + +68 +00:04:05,510 --> 00:04:24,170 +calculations there is actually a drawing the + +69 +00:04:24,170 --> 00:04:25,170 +vergence calculations + +70 +00:04:28,540 --> 00:04:32,340 +بالنسبة لـvergence calculations, because a plane + +71 +00:04:32,340 --> 00:04:35,420 +mirror adds no vergence to light but simply + +72 +00:04:35,420 --> 00:04:38,580 +reverses its direction, vergence does not change + +73 +00:04:38,580 --> 00:04:43,040 +when light is reflected. For example, light from + +74 +00:04:43,040 --> 00:04:46,280 +an object one meter to the left of a plane mirror + +75 +00:04:46,280 --> 00:04:50,820 +has a vergence of minus one diopter at the mirror. + +76 +00:04:52,580 --> 00:04:55,960 +On reflection, the reflection will still be minus + +77 +00:04:55,960 --> 00:04:59,540 +one diopter. However, in tracing imaginary + +78 +00:04:59,540 --> 00:05:04,040 +extensions of the reflected image rays to the far + +79 +00:05:04,040 --> 00:05:06,760 +side of the mirror into virtual image space, the + +80 +00:05:06,760 --> 00:05:10,280 +virtual image is located one meter to the right of + +81 +00:05:10,280 --> 00:05:13,400 +the mirror. Let's see how to understand this issue + +82 +00:05:13,400 --> 00:05:19,100 +so that we don't have any problem. Let's take a + +83 +00:05:19,100 --> 00:05:20,080 +plain mirror with us. + +84 +00:05:26,120 --> 00:05:34,540 +and we go to the place where we stopped this is + +85 +00:05:34,540 --> 00:05:36,940 +the virgin's calculations, we put the picture here + +86 +00:05:36,940 --> 00:05:40,000 +and + +87 +00:05:40,000 --> 00:05:46,060 +we make it smaller and + +88 +00:05:46,060 --> 00:05:49,680 +we say since the man stands at a distance of one + +89 +00:05:49,680 --> 00:05:53,550 +meter, so I have one meterone meter the object + +90 +00:05:53,550 --> 00:05:57,190 +distance one meter to the left of a plane mirror + +91 +00:05:57,190 --> 00:06:00,550 +one meter to the left of a plane mirror let's see + +92 +00:06:00,550 --> 00:06:03,110 +where the picture will show up Virgin's + +93 +00:06:03,110 --> 00:06:06,610 +Calculations Calculations means u is equal to + +94 +00:06:06,610 --> 00:06:12,670 +negative n over o and is equal to negative one + +95 +00:06:12,670 --> 00:06:16,870 +over one meter and is equal to negative one + +96 +00:06:16,870 --> 00:06:20,750 +diopterSo, when the refractive field of light + +97 +00:06:20,750 --> 00:06:22,870 +reaches the object, + +98 +00:06:26,290 --> 00:06:29,550 +it reaches a refractive field of minus one diode. + +99 +00:06:29,670 --> 00:06:40,900 +U plus P equals V. U equals minus one diode.plus + +100 +00:06:40,900 --> 00:06:44,480 +power is zero, the level of power is zero, it is + +101 +00:06:44,480 --> 00:06:47,100 +neither convergence nor divergence, it does not + +102 +00:06:47,100 --> 00:06:49,940 +change from the fluctuation state to the light, so + +103 +00:06:49,940 --> 00:06:56,540 +plus zero is equal to V, so V is equal to minus + +104 +00:06:56,540 --> 00:07:00,070 +one diopter As long as the light reached a + +105 +00:07:00,070 --> 00:07:03,190 +wavelength of minus 1 diopter and went out a + +106 +00:07:03,190 --> 00:07:06,570 +wavelength of minus 1 diopter, then the wavelength + +107 +00:07:06,570 --> 00:07:11,230 +did not change at all. What happened is that the + +108 +00:07:11,230 --> 00:07:13,650 +light that came from this object reached a + +109 +00:07:13,650 --> 00:07:17,290 +wavelength and returned to a wavelength and + +110 +00:07:17,290 --> 00:07:20,190 +returned to a wavelength + +111 +00:07:49,580 --> 00:07:56,860 +متشتت عن بعضها البعض بمقدار تشتتية مقدارها واحد + +112 +00:07:58,960 --> 00:08:01,040 +Diopter, minus one diopter. + +113 +00:08:05,180 --> 00:08:05,860 +Divergent. + +114 +00:08:12,320 --> 00:08:16,260 +Let's see + +115 +00:08:16,260 --> 00:08:22,040 +where the image is. Let's say V is equal to I. + +116 +00:08:28,970 --> 00:08:35,030 +I is small, then I is equal to condition on V + +117 +00:08:35,030 --> 00:08:42,670 +which is equal to condition 1 on V which is minus + +118 +00:08:42,670 --> 00:08:47,170 +1 diopter which + +119 +00:08:47,170 --> 00:08:52,540 +is equal to minus 1 meterNow we have to pay + +120 +00:08:52,540 --> 00:08:53,720 +attention to the fact that there is a distance of + +121 +00:08:53,720 --> 00:08:57,820 +minus one meter in the lenses to the left. Of + +122 +00:08:57,820 --> 00:08:59,540 +course, in the pictures we said that the image + +123 +00:08:59,540 --> 00:09:02,180 +space is inverted. So, if it was in the lens, it + +124 +00:09:02,180 --> 00:09:03,840 +would be on the left and this would be on the + +125 +00:09:03,840 --> 00:09:08,240 +right due to the divergence of the rays. So, image + +126 +00:09:08,240 --> 00:09:17,140 +is one meter to the right. If you notice, the + +127 +00:09:17,140 --> 00:09:19,620 +distance of the body when we started the example + +128 +00:09:21,330 --> 00:09:24,270 +The distance of the body is one meter to the left, + +129 +00:09:24,850 --> 00:09:27,730 +and the distance of the image is one meter to the + +130 +00:09:27,730 --> 00:09:31,670 +right. And as long as the image distance is one + +131 +00:09:31,670 --> 00:09:36,370 +over the object distance, one over one, then the + +132 +00:09:36,370 --> 00:09:42,350 +imageجد الجسم في الحجم erect و جد الجسم في الحجم + +133 +00:09:42,350 --> 00:09:46,310 +جد الجسم في الحجم فبالتالي هذه القضية ضروري تكون + +134 +00:09:46,310 --> 00:09:51,770 +واضحة جدا، ضروري تكون واضحة جدا، فبالتالي هذا هو + +135 +00:09:51,770 --> 00:09:55,230 +الvergence calculations بالنسبة ل ال plane mirror + +136 +00:09:55,230 --> 00:10:01,430 +و ال plane mirror قوتها صفر، قوتها صفرOf course, + +137 +00:10:01,490 --> 00:10:04,310 +this place is called virtual image space because + +138 +00:10:04,310 --> 00:10:08,070 +virtual image means that what is behind the mirror + +139 +00:10:08,070 --> 00:10:10,550 +is actually a space that does not exist. I mean, + +140 +00:10:10,630 --> 00:10:13,350 +we look at our picture in the mirror, but if we + +141 +00:10:13,350 --> 00:10:15,910 +look behind the mirror, there is nothing because + +142 +00:10:15,910 --> 00:10:19,530 +the light reaches the mirror and is reflected. I + +143 +00:10:19,530 --> 00:10:23,330 +mean, this is the active space for the mirrorThe + +144 +00:10:23,330 --> 00:10:26,170 +light goes and comes in this area, it has nothing + +145 +00:10:26,170 --> 00:10:29,430 +to do with what's behind it. But we see along the + +146 +00:10:29,430 --> 00:10:34,870 +rays, we see our image. We see our image. Of + +147 +00:10:34,870 --> 00:10:37,610 +course, the rays actually reached the mirror and + +148 +00:10:37,610 --> 00:10:41,830 +reflected in the same direction that came from it. + +149 +00:10:41,870 --> 00:10:43,750 +In the same direction that came from it. In + +150 +00:10:43,750 --> 00:10:48,530 +general. Plain mirrors create upright, as you can + +151 +00:10:48,530 --> 00:10:54,130 +see.a bright virtual image, صورة مش حقيقية a + +152 +00:10:54,130 --> 00:10:55,890 +bright virtual image, صورة مش حقيقية a bright + +153 +00:10:55,890 --> 00:10:57,250 +virtual image, صورة مش حقيقية a bright virtual + +154 +00:10:57,250 --> 00:11:00,570 +image, صورة مش حقيقية a bright virtual image, صورة + +155 +00:11:00,570 --> 00:11:02,430 +مش حقيقية a bright virtual image, صورة مش حقيقية a + +156 +00:11:02,430 --> 00:11:04,370 +bright virtual image, صورة مش حقيقية a bright + +157 +00:11:04,370 --> 00:11:07,790 +virtual image, صورة مش حقيقية a bright virtual + +158 +00:11:07,790 --> 00:11:10,510 +image, صورة مش حقيقية a bright virtual image, صورة + +159 +00:11:10,510 --> 00:11:15,910 +مش حقيقية a bright virtual image, صورة مش حقيقية + +160 +00:11:16,150 --> 00:11:19,870 +Any real object in its virtual form. Why? Because + +161 +00:11:19,870 --> 00:11:23,110 +the real object is actually made of divergent + +162 +00:11:23,110 --> 00:11:27,250 +things. Divergent rays. If we add zero to it, the + +163 +00:11:27,250 --> 00:11:30,270 +power of the mirror, it will remain divergent. I + +164 +00:11:30,270 --> 00:11:36,640 +have a debt of ten dinarsوماعيش أسده فبيضل عندي + +165 +00:11:36,640 --> 00:11:41,360 +عشر دينار، اذا مافيش عندي قوة سداد المستوى القوة + +166 +00:11:41,360 --> 00:11:47,500 +عندها صفر With virtual images located as far + +167 +00:11:47,500 --> 00:11:50,880 +behind the mirror as the real object is in front، + +168 +00:11:50,880 --> 00:11:56,340 +اذا هذه قاعدة plain mirrorsPlain mirrors create a + +169 +00:11:56,340 --> 00:12:00,380 +bright virtual image from real objects طب لو عندي + +170 +00:12:00,380 --> 00:12:04,620 +virtual object بتكونله صورة حقيقية بتكونله صورة + +171 +00:12:04,620 --> 00:12:08,540 +حقيقية من وين بده أجيب ال virtual object لو أنا + +172 +00:12:08,540 --> 00:12:14,440 +جيبت مثلا شامعة و حطيت أمامها عدسة اللي اتجمع ضوء + +173 +00:12:14,440 --> 00:12:19,250 +الشامعة و أصطدم الضوء و هو convergentin the plane + +174 +00:12:19,250 --> 00:12:21,550 +mirror Convergent for example in the amount of + +175 +00:12:21,550 --> 00:12:24,730 +plus 2 to reflect it Convergent in the amount of + +176 +00:12:24,730 --> 00:12:27,830 +plus 2 It will neither increase nor decrease in + +177 +00:12:27,830 --> 00:12:30,510 +the fluctuation state of light So the virtual + +178 +00:12:30,510 --> 00:12:33,930 +object Here is also another rule derived from this + +179 +00:12:33,930 --> 00:12:37,570 +rule We write it so that we do not forget to say + +180 +00:12:37,570 --> 00:12:47,170 +plane mirrors create real image + +181 +00:12:53,110 --> 00:13:00,670 +of virtual objects this is also a base + +182 +00:13:22,490 --> 00:13:31,030 +So, plane mirrors create real + +183 +00:13:31,030 --> 00:13:37,050 +images of virtual objects of virtual objects and + +184 +00:13:37,050 --> 00:13:41,750 +plane mirrors create upright virtual image virtual + +185 +00:13:41,750 --> 00:13:44,910 +image for real objects and real image for virtual + +186 +00:13:44,910 --> 00:13:49,760 +objectsعكس بعض، with virtual image located as far + +187 +00:13:49,760 --> 00:13:53,500 +behind the mirror as the real object is in front + +188 +00:13:53,500 --> 00:13:56,780 +طيب، + +189 +00:13:56,780 --> 00:14:01,160 +الآن أنا بدي أستعمل المراية واضح أن المراية عندي + +190 +00:14:01,160 --> 00:14:08,100 +يعني من الأرض إلى الصقف مثلا أو إلى طول هذا الرجل، + +191 +00:14:08,100 --> 00:14:13,390 +هل الراجل هذا بحتاج كل مراية عشان يشوف؟he sees + +192 +00:14:13,390 --> 00:14:15,610 +himself completely from the bottom of his foot to + +193 +00:14:15,610 --> 00:14:18,270 +the top of his head what is correct is that I have + +194 +00:14:18,270 --> 00:14:21,830 +this figure that explains why this is for example + +195 +00:14:21,830 --> 00:14:29,610 +the real man's foot the light fell from it and was + +196 +00:14:29,610 --> 00:14:32,530 +reflected towards it fell from it towards this and + +197 +00:14:32,530 --> 00:14:34,710 +was reflected of course this is a reflected + +198 +00:14:34,710 --> 00:14:37,870 +surface not a breathable surface the light from + +199 +00:14:37,870 --> 00:14:42,070 +the man's footcame to this point and reflected + +200 +00:14:42,070 --> 00:14:47,610 +towards the eye of the same man So he will see his + +201 +00:14:47,610 --> 00:14:49,030 +foot as if it came from this point, it is a + +202 +00:14:49,030 --> 00:14:51,870 +reflection of the reflected light So this part is + +203 +00:14:51,870 --> 00:14:54,930 +what is necessary This part is what is necessary + +204 +00:14:54,930 --> 00:14:58,830 +in work and here this is called unused mirrors, + +205 +00:14:59,010 --> 00:15:02,480 +unused mirror, thereforethere's no need for it to + +206 +00:15:02,480 --> 00:15:05,380 +be there. It can be replaced for example by wooden + +207 +00:15:05,380 --> 00:15:10,200 +planks or anything else, but this part of the + +208 +00:15:10,200 --> 00:15:13,660 +mirror is enough for a person to see himself + +209 +00:15:13,660 --> 00:15:19,160 +completely. To see .. to see ..As illustrated in + +210 +00:15:19,160 --> 00:15:22,340 +the following figure, only half a full-length + +211 +00:15:22,340 --> 00:15:25,280 +plain mirror is needed to see one's entire body. + +212 +00:15:36,210 --> 00:15:40,350 +Now for the concave mirror The concave mirror adds + +213 +00:15:40,350 --> 00:15:43,570 +positive versions to incident light The incident + +214 +00:15:43,570 --> 00:15:46,910 +light if it comes with minus, the U minus, the + +215 +00:15:46,910 --> 00:15:49,250 +concave mirror tries to collect it according to + +216 +00:15:49,250 --> 00:15:52,590 +its strength The concave mirror means there are + +217 +00:15:52,590 --> 00:15:54,850 +many examples of it, such as the make-up mirror + +218 +00:15:54,850 --> 00:15:59,090 +used in beauty operations The shaving mirror, also + +219 +00:15:59,090 --> 00:16:06,270 +mirrors used in barber salons Also in retinaThe + +220 +00:16:06,270 --> 00:16:09,710 +internal limiting membrane of the fovea can act as + +221 +00:16:09,710 --> 00:16:13,690 +a concave mirror. The concave mirror adds positive + +222 +00:16:13,690 --> 00:16:17,050 +divergence to incident light. It therefore has + +223 +00:16:17,050 --> 00:16:20,830 +positive or converging power. If parallel rays + +224 +00:16:20,830 --> 00:16:24,270 +strike the mirror, they reflect and converge + +225 +00:16:24,270 --> 00:16:28,090 +toward a point halfway to the center of curvature. + +226 +00:16:28,270 --> 00:16:29,590 +We see this in simulation. + +227 +00:16:32,520 --> 00:16:37,100 +here I have the mirror, I want circular arc here I + +228 +00:16:37,100 --> 00:16:42,260 +have concave mirror + +229 +00:16:42,260 --> 00:16:51,720 +here + +230 +00:16:51,720 --> 00:16:54,900 +is the concave mirror, I want parallel rays + +231 +00:17:00,560 --> 00:17:04,240 +we have to reduce the density of the rays in order + +232 +00:17:04,240 --> 00:17:17,240 +to have parallel rays now + +233 +00:17:17,240 --> 00:17:24,180 +everything + +234 +00:17:24,180 --> 00:17:27,260 +becomes convergence convergence + +235 +00:17:29,450 --> 00:17:34,550 +I'm going to use a very light blocker just to make + +236 +00:17:34,550 --> 00:17:43,210 +things look clear if we + +237 +00:17:43,210 --> 00:17:53,090 +make it smaller ok + +238 +00:17:53,090 --> 00:17:57,920 +ifParallel rays that come from minus optical + +239 +00:17:57,920 --> 00:18:01,900 +infinity converges to a point, this point is the + +240 +00:18:01,900 --> 00:18:02,880 +focus of the mirror + +241 +00:18:22,230 --> 00:18:26,630 +If parallel rays strike the mirror, they reflect + +242 +00:18:26,630 --> 00:18:30,130 +and converge.toward a point halfway to the center + +243 +00:18:30,130 --> 00:18:44,030 +of curvature. The focal point + +244 +00:18:44,030 --> 00:18:48,930 +F of a concave mirror is not unique for any + +245 +00:18:48,930 --> 00:18:55,100 +central ray can serve as optical axis.Here, this + +246 +00:18:55,100 --> 00:18:57,220 +is the optical axis. The lenses have only one + +247 +00:18:57,220 --> 00:19:02,660 +optical axis, and this is the central ray, which + +248 +00:19:02,660 --> 00:19:06,480 +enters the nodal point. In the mirror, the order + +249 +00:19:06,480 --> 00:19:10,220 +is different. This is the central ray, the blue + +250 +00:19:10,220 --> 00:19:12,580 +one, and this is the central red ray, and this is + +251 +00:19:12,580 --> 00:19:18,770 +the central yellow ray. Each light rayكل light ray + +252 +00:19:18,770 --> 00:19:22,010 +بدخل في ال center بتاع ال curvature يعتبر central + +253 +00:19:22,010 --> 00:19:37,670 +ray طيب لو أنا عندي object هذا + +254 +00:19:37,670 --> 00:19:41,390 +ال object موجود + +255 +00:19:41,390 --> 00:19:41,610 +هنا + +256 +00:19:49,800 --> 00:19:52,560 +I will consider the blue line to be the optical + +257 +00:19:52,560 --> 00:19:56,920 +axis and the axis from the center to the surface + +258 +00:19:56,920 --> 00:20:00,860 +from the middle here is F, this is F So here there + +259 +00:20:00,860 --> 00:20:10,760 +is a focal point Ok, if the object was in + +260 +00:20:10,760 --> 00:20:17,610 +this area or in this areaSo, the red line is the + +261 +00:20:17,610 --> 00:20:20,490 +central ray. Central ray because I can consider it + +262 +00:20:20,490 --> 00:20:23,750 +the optical axis and half the distance from the + +263 +00:20:23,750 --> 00:20:26,770 +center to this surface is the focus. So, here it + +264 +00:20:26,770 --> 00:20:28,490 +is very focused, here it is very focused, here it + +265 +00:20:28,490 --> 00:20:30,810 +is very focused, here it is very focused. Every + +266 +00:20:30,810 --> 00:20:43,450 +central ray, this is a rule, every central ray in + +267 +00:20:43,450 --> 00:20:44,250 +mirrors + +268 +00:20:46,640 --> 00:20:54,860 +can work or can act as optical axis so + +269 +00:20:54,860 --> 00:20:57,920 +it's not a specific optical axis as long as I have + +270 +00:20:57,920 --> 00:21:03,030 +more than one optical axisفي عندي أكتر من focus، + +271 +00:21:03,030 --> 00:21:05,770 +هنا focal point، طبعا anterior مع posterior + +272 +00:21:05,770 --> 00:21:08,070 +منطبقين على بعضهم، هنا نفس الاشياء، هنا نفس + +273 +00:21:08,070 --> 00:21:11,410 +الاشياء، هنا نفس الاشياء، كيف أحسبه نص المسافة من + +274 +00:21:11,410 --> 00:21:15,250 +C لسطح المرأة؟ يعني نص المسافة من C لسطح المرأة، + +275 +00:21:15,250 --> 00:21:18,730 +نص .. طبعا هدولة كلهم متساوين لأنهم أنصاف أكترIt's + +276 +00:21:18,730 --> 00:21:22,110 +always and always F equals F equals F, but I have + +277 +00:21:22,110 --> 00:21:25,430 +more than F, I have more than F. So, the focal + +278 +00:21:25,430 --> 00:21:29,610 +point F of a concave mirror is not unique, it's + +279 +00:21:29,610 --> 00:21:33,550 +not a unique one, it's not similar to it. Why is + +280 +00:21:33,550 --> 00:21:36,570 +it not unique? Because for any central ray it can + +281 +00:21:36,570 --> 00:21:40,550 +serve as an optical axis. Any central ray in the + +282 +00:21:40,550 --> 00:21:45,050 +mirror can serve, can perform the function of the + +283 +00:21:45,050 --> 00:21:49,160 +optical axis.Not only that, the anterior and + +284 +00:21:49,160 --> 00:21:53,020 +posterior focal points of a concave mirror are in + +285 +00:21:53,020 --> 00:21:54,740 +exactly the same place + +286 +00:22:06,050 --> 00:22:07,890 +means that it is not in the world of the mirror. + +287 +00:22:08,030 --> 00:22:10,150 +The mirror is a world where everything is opposite + +288 +00:22:10,150 --> 00:22:12,730 +to it. Light is coming, then light is going back. + +289 +00:22:12,790 --> 00:22:16,950 +It is as if this world is blurred and here only + +290 +00:22:16,950 --> 00:22:20,350 +light is in its field to form a picture for it to + +291 +00:22:20,350 --> 00:22:23,590 +work with it as if it is an optical system. Its + +292 +00:22:23,590 --> 00:22:25,970 +field is in front of the mirror, not behind the + +293 +00:22:25,970 --> 00:22:27,930 +mirror. So here we have Bengal + +294 +00:22:31,850 --> 00:22:34,750 +The anterior and posterior focal points of a + +295 +00:22:34,750 --> 00:22:39,430 +concave mirror are in exactly the same space or + +296 +00:22:39,430 --> 00:22:43,370 +the same place. As an example, let's assume that + +297 +00:22:43,370 --> 00:22:46,810 +we have an object 1 meter away to the left of a + +298 +00:22:46,810 --> 00:22:50,890 +concave mirror with a curvature radius of half a + +299 +00:22:50,890 --> 00:22:51,250 +centimeter. + +300 +00:22:54,410 --> 00:22:56,710 +Where is the image? Let's look at the divergence + +301 +00:22:56,710 --> 00:23:01,610 +calculation. The power of the mirror is 1 over For + +302 +00:23:01,610 --> 00:23:08,070 +2 to the power of r okay here we said half of its + +303 +00:23:08,070 --> 00:23:14,050 +diameter is how much? half of its diameter radius + +304 +00:23:14,050 --> 00:23:17,090 +of curvature is 50 cm which is half a meter we + +305 +00:23:17,090 --> 00:23:19,310 +want to calculate the power of the mirror we + +306 +00:23:19,310 --> 00:23:21,610 +calculate the power of the mirror we say quickly + +307 +00:23:21,610 --> 00:23:24,490 +of course this is a detailed statement to say that + +308 +00:23:24,490 --> 00:23:27,910 +r is equal to 2f or f is equal to half of r we say + +309 +00:23:27,910 --> 00:23:34,900 +the power of the mirrorتساوي اتنين على R ويساوي + +310 +00:23:34,900 --> 00:23:43,460 +اتنين تقسيم نص متر ويساوي + +311 +00:23:43,460 --> 00:23:48,860 +طالع منها concave ده حطلها plus اتنين على نص يعني + +312 +00:23:48,860 --> 00:23:55,030 +اربع اربع diode four diopters, so plus four + +313 +00:23:55,030 --> 00:23:59,770 +diopters like what I have here this is for the + +314 +00:23:59,770 --> 00:24:03,210 +power of the mirror put it on the side and now we + +315 +00:24:03,210 --> 00:24:10,370 +want to calculate the object at a distance one + +316 +00:24:10,370 --> 00:24:14,290 +meter to the left, u is equal to negative n over o + +317 +00:24:14,290 --> 00:24:16,690 +and is equal to + +318 +00:24:22,240 --> 00:24:28,720 +Okay, u plus p equals v, it's already written here + +319 +00:24:30,740 --> 00:24:34,460 +u plus the power of the mirror is equal to v, the + +320 +00:24:34,460 --> 00:24:38,900 +power of the mirror plus 4 diopters and u minus 1 + +321 +00:24:38,900 --> 00:24:42,860 +diopter, so minus 1 diopter plus 4 diopters is + +322 +00:24:42,860 --> 00:24:45,880 +equal to v, so v remains here and we subtract it + +323 +00:24:45,880 --> 00:24:49,020 +and we get 3 diopters, v is equal to unconditional + +324 +00:24:49,020 --> 00:24:53,360 +over i, we continue here and say v is equal to + +325 +00:24:53,360 --> 00:24:54,520 +unconditional over i + +326 +00:24:59,310 --> 00:25:06,350 +إذن I تساوي N شرط على V ويساوي + +327 +00:25:06,350 --> 00:25:16,610 +واحد على plus تلاتة ديوبتر ويساوي plus تلت متر + +328 +00:25:16,610 --> 00:25:26,610 +يعني plus تلت متر ويساوي plus تلاتة و تلاتين و + +329 +00:25:26,610 --> 00:25:30,710 +تلاتة من عشرة صنط33 + +330 +00:25:30,710 --> 00:25:46,230 +.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 + +331 +00:25:48,580 --> 00:25:54,000 +the image will be 33cm on the left and not on the + +332 +00:25:54,000 --> 00:25:57,700 +right now the transfer is magnification u over v u + +333 +00:25:57,700 --> 00:26:01,580 +minus one diopter over v plus three diopters which + +334 +00:26:01,580 --> 00:26:04,420 +is minus one third so the image is inverted and + +335 +00:26:04,420 --> 00:26:06,560 +one third of the object and one third of the + +336 +00:26:06,560 --> 00:26:09,960 +object so this case must be clear we try to prove + +337 +00:26:09,960 --> 00:26:14,360 +this by simulation as much as we can + +338 +00:26:22,810 --> 00:26:30,830 +Hi, I have a mirror The + +339 +00:26:30,830 --> 00:26:36,470 +radius of curvature of it, we will try to + +340 +00:26:36,470 --> 00:26:40,910 +get a way to it + +341 +00:26:40,910 --> 00:26:47,550 +Here, + +342 +00:26:47,710 --> 00:26:51,390 +we will print the mirror here Concave mirror + +343 +00:26:55,660 --> 00:26:59,880 +Focal Length is + +344 +00:26:59,880 --> 00:27:03,520 +a mirror, not a minus lens, it's a concave mirror. + +345 +00:27:03,520 --> 00:27:07,060 +The focal length is 500mm, which is 50cm. + +346 +00:27:09,980 --> 00:27:13,780 +Now we need a point source of light to represent + +347 +00:27:13,780 --> 00:27:14,620 +the object. + +348 +00:27:23,830 --> 00:27:26,090 +It should be the point source of light at a + +349 +00:27:26,090 --> 00:27:32,470 +distance of one meter. So, we use the ruler. + +350 +00:27:45,830 --> 00:27:47,910 +We use the ruler. + +351 +00:27:52,290 --> 00:28:10,590 +The mirror should be at angle 0 And + +352 +00:28:10,590 --> 00:28:16,090 +the point source of light should be at time + +353 +00:28:24,170 --> 00:28:30,210 +on a meter distance, the apparent force is F F, + +354 +00:28:30,330 --> 00:28:36,190 +but we want R 500 milli R double F, so here F + +355 +00:28:36,190 --> 00:28:44,690 +should be 250 natural, + +356 +00:28:44,870 --> 00:28:49,610 +here the situation is better let's + +357 +00:28:49,610 --> 00:28:55,670 +seein the focal length which is 250 mm which is 25 + +358 +00:28:55,670 --> 00:29:00,050 +cm which is 4 diopters this is correct the object + +359 +00:29:00,050 --> 00:29:02,670 +is at a distance of one meter at a distance of one + +360 +00:29:02,670 --> 00:29:05,530 +meter the image is supposed to take shape at a + +361 +00:29:05,530 --> 00:29:08,170 +distance of one third of a meter let's see the + +362 +00:29:08,170 --> 00:29:17,230 +ruler not the blocker to reduce + +363 +00:29:17,230 --> 00:29:18,870 +the radiation which is not desirable + +364 +00:29:22,090 --> 00:29:28,670 +And this is a duplicate for the blocker It didn't + +365 +00:29:28,670 --> 00:29:31,050 +get a duplication, but I found it + +366 +00:29:44,730 --> 00:29:47,990 +They are actually the rays that are reflected by + +367 +00:29:47,990 --> 00:29:50,910 +two rays only, this is a ray and this is a ray, we + +368 +00:29:50,910 --> 00:29:57,670 +want to leave more That's + +369 +00:29:57,670 --> 00:30:01,790 +how the picture became a picture The simulation + +370 +00:30:01,790 --> 00:30:06,610 +needs a lot of training Okay, + +371 +00:30:07,010 --> 00:30:09,530 +here we also want this blocker to cover a part + +372 +00:30:16,950 --> 00:30:20,810 +So the rays met at this point. Notice that this + +373 +00:30:20,810 --> 00:30:23,610 +point is thirty-three centimeters. Of course this + +374 +00:30:23,610 --> 00:30:25,730 +is in centimeters. Here it is ten centimeters, + +375 +00:30:25,810 --> 00:30:28,410 +twenty, thirty, thirty-three. The picture is + +376 +00:30:28,410 --> 00:30:31,290 +upside down and the height of the object is three. + +377 +00:30:31,290 --> 00:30:33,190 +Here the height of the object is how many squares? + +378 +00:30:33,350 --> 00:30:36,690 +Square two, three, four, five. Here it is + +379 +00:30:36,690 --> 00:30:41,320 +approximately a square.and a third or a square and + +380 +00:30:41,320 --> 00:30:43,840 +four out of ten, approximately, meaning a third of + +381 +00:30:43,840 --> 00:30:45,440 +the height of the object. So this is through + +382 +00:30:45,440 --> 00:30:48,580 +simulation as much as we could to make it + +383 +00:30:48,580 --> 00:30:51,340 +invertible. So the picture of course on the left, + +384 +00:30:52,380 --> 00:30:56,060 +plus thirty-three centimeters, if we are talking + +385 +00:30:56,060 --> 00:31:01,060 +about lenses, we are talking aboutاليمين بس لما + +386 +00:31:01,060 --> 00:31:04,620 +بنحكي عن مرايه ال plus بطلع عندي معكوس العدسات + +387 +00:31:04,620 --> 00:31:09,600 +معكوس العدسات فهذه القضية بالنسبة ل ال concave + +388 +00:31:09,600 --> 00:31:13,820 +mirror ال concave mirror therefore the image is + +389 +00:31:13,820 --> 00:31:16,200 +located one third meter to the left of the mirror + +390 +00:31:16,200 --> 00:31:20,080 +in real image space it is real image it is also + +391 +00:31:20,080 --> 00:31:23,380 +minified and inverted تلت ال object يعني minified + +392 +00:31:23,380 --> 00:31:27,310 +و inverted مجلوبة below the optical axisالان + +393 +00:31:27,310 --> 00:31:31,710 +الكلام بده ينتهي او بدنا ننتقل لل convex mirror ال + +394 +00:31:31,710 --> 00:31:34,530 +convex mirror adds negative versions to the + +395 +00:31:34,530 --> 00:31:38,030 +incident light negative versions يعني اذا هو متشتت + +396 +00:31:38,030 --> 00:31:41,870 +بتشتته اكتر اذا هو convergent جاي من virtual + +397 +00:31:41,870 --> 00:31:46,290 +object بتجلل من ال convergence بتاع it is + +398 +00:31:46,290 --> 00:31:49,050 +therefore or it therefore has negative or + +399 +00:31:49,050 --> 00:31:53,420 +diverging powerThe anterior and posterior focal + +400 +00:31:53,420 --> 00:31:57,820 +points which coincide. Also for the convex mirror, + +401 +00:31:57,940 --> 00:32:00,640 +the anterior and posterior focal points are + +402 +00:32:00,640 --> 00:32:03,420 +adjacent to each other, but behind the mirror in + +403 +00:32:03,420 --> 00:32:09,660 +the focal or virtual space.Virtual focal points. + +404 +00:32:09,900 --> 00:32:13,420 +Virtual means that they will not get light at all. + +405 +00:32:13,520 --> 00:32:14,620 +Because they will be reflected from the surface of + +406 +00:32:14,620 --> 00:32:18,460 +the mirror. They are + +407 +00:32:18,460 --> 00:32:21,340 +located halfway between the surface of the mirror + +408 +00:32:21,340 --> 00:32:25,920 +and the center of curvature. They are located + +409 +00:32:25,920 --> 00:32:29,940 +halfway between the surface of the mirror and the + +410 +00:32:29,940 --> 00:32:32,880 +center of curvature.these are the anterior and + +411 +00:32:32,880 --> 00:32:38,580 +posterior focal points of the convex mirror they + +412 +00:32:38,580 --> 00:32:41,240 +are behind the mirror, they are not facing each + +413 +00:32:41,240 --> 00:32:44,880 +other, so they are in the virtual space, in the + +414 +00:32:44,880 --> 00:32:49,320 +virtual space, so this case should be clear + +415 +00:32:56,310 --> 00:33:00,610 +In the same example, the object is standing at a + +416 +00:33:00,610 --> 00:33:04,230 +distance of one meter from the object. The u value + +417 +00:33:04,230 --> 00:33:07,710 +is minus one diopter. The power of the mirror is + +418 +00:33:07,710 --> 00:33:10,130 +the same as the curvature, but with minus instead + +419 +00:33:10,130 --> 00:33:13,550 +of plus four diopters. Here we calculated that it + +420 +00:33:13,550 --> 00:33:18,430 +is plus 4 diopters 2 over a If we bring a convex + +421 +00:33:18,430 --> 00:33:21,710 +mirror + +422 +00:33:21,710 --> 00:33:24,850 +It has the same angles It will have the same + +423 +00:33:24,850 --> 00:33:28,470 +calculations But it will be minus, it will be + +424 +00:33:28,470 --> 00:33:33,370 +minus 4 diopters So minus 1 diopters which is the + +425 +00:33:33,370 --> 00:33:34,990 +amplitude of light which is standing at a distance + +426 +00:33:34,990 --> 00:33:37,250 +of one meter Which is the object standing at a + +427 +00:33:37,250 --> 00:33:41,220 +distance of one meterConvex mirror magnification + +428 +00:33:41,220 --> 00:33:46,200 +increased by 4. The reflected light from the + +429 +00:33:46,200 --> 00:33:47,660 +surface of the mirror will have a magnitude of + +430 +00:33:47,660 --> 00:33:51,820 +minus 5. Because U plus P equals V. Transfers + +431 +00:33:51,820 --> 00:33:57,290 +magnification minus one diopter.minus 5 diopter + +432 +00:33:57,290 --> 00:34:01,890 +which is U over V equals plus 2 out of 10 or plus + +433 +00:34:01,890 --> 00:34:06,330 +5 so the picture is regular and 5 is the object so + +434 +00:34:06,330 --> 00:34:09,410 +where is the location of the picture? this is what + +435 +00:34:09,410 --> 00:34:12,370 +we want to calculate and we say as usual exactly + +436 +00:34:12,370 --> 00:34:15,550 +virgin's calculations V is equal to unconditional + +437 +00:34:15,550 --> 00:34:20,490 +over I so + +438 +00:34:20,490 --> 00:34:23,630 +I is equal to unconditional over V + +439 +00:34:26,370 --> 00:34:31,550 +unconditional 1 over V which is minus 5 diopters + +440 +00:34:31,550 --> 00:34:40,610 +minus 5 diopters which is equal to minus 2 out of + +441 +00:34:40,610 --> 00:34:44,050 +10 meters minus 20 centimeters 2 out of 10 meters + +442 +00:34:44,050 --> 00:34:46,990 +this is the I so the picture is 20 centimeters + +443 +00:34:46,990 --> 00:34:50,070 +away but as long as it is minus not to the left + +444 +00:34:50,070 --> 00:34:52,910 +because we are not lenses on the right so it is to + +445 +00:34:52,910 --> 00:34:57,030 +the right of imagein this case the image ray are + +446 +00:34:57,030 --> 00:35:00,210 +diverging and a virtual image will appear to be + +447 +00:35:00,210 --> 00:35:03,310 +located will appear to be located it will appear + +448 +00:35:03,310 --> 00:35:06,850 +to be located at a distance of 20 cm to the right + +449 +00:35:06,850 --> 00:35:10,290 +of the mirror the image is minified and erected of + +450 +00:35:10,290 --> 00:35:13,170 +course virtual because the v is minus virtual + +451 +00:35:13,170 --> 00:35:16,090 +because the v is minus we will try to simulate + +452 +00:35:16,090 --> 00:35:23,170 +this again this is the grid this is the ruler + +453 +00:35:25,840 --> 00:35:44,620 +And here we started from zero Now + +454 +00:35:44,620 --> 00:35:49,520 +we need a mirror Ideal mirror, we put it under + +455 +00:36:01,200 --> 00:36:04,780 +Let's put it at the decimal point 100 And there we + +456 +00:36:04,780 --> 00:36:17,600 +put it at 1100 at 110 cm So that we can start + +457 +00:36:17,600 --> 00:36:22,420 +with the point source of light The first thing we + +458 +00:36:22,420 --> 00:36:28,100 +need is the mirror Its strength should be minus 5 + +459 +00:36:28,100 --> 00:36:35,140 +dioptersإذن minus 250 لأ الاربع ده يبتر اه minus 4 + +460 +00:36:35,140 --> 00:36:41,310 +ده يبتر إذا minus 250The power of it The mirror + +461 +00:36:41,310 --> 00:36:45,190 +Ideal curved mirror As long as the minus means I + +462 +00:36:45,190 --> 00:36:49,410 +have this Convex mirror Convex mirror Now we want + +463 +00:36:49,410 --> 00:36:52,810 +to get point source of light We put it at a + +464 +00:36:52,810 --> 00:36:54,410 +distance of one thousand and two hundred meters To + +465 +00:36:54,410 --> 00:36:56,630 +be here two hundred to one thousand and two means + +466 +00:36:56,630 --> 00:37:00,170 +one meter And we make the height six squares + +467 +00:37:00,170 --> 00:37:08,210 +Square two three four five six Or five to see What + +468 +00:37:08,210 --> 00:37:16,230 +will come out with me? The light is divergent, it + +469 +00:37:16,230 --> 00:37:19,950 +is clear that it is divergent But we need to + +470 +00:37:19,950 --> 00:37:25,830 +enlarge the mirror in the beginning That's + +471 +00:37:25,830 --> 00:37:30,870 +how we enlarged the mirror, okay? Okay, now we + +472 +00:37:30,870 --> 00:37:35,130 +need a blocker To cancel all the radiation that we + +473 +00:37:35,130 --> 00:37:41,540 +do not want with itand it doesn't disturb our + +474 +00:37:41,540 --> 00:37:44,920 +vision ok + +475 +00:37:44,920 --> 00:37:54,940 +here we also need duplication for the blocker here + +476 +00:37:54,940 --> 00:37:59,380 +I have three signals one went in a certain + +477 +00:37:59,380 --> 00:38:01,780 +direction and the other in a different direction + +478 +00:38:01,780 --> 00:38:09,090 +if we ask for extensionThe picture here is 20 cm + +479 +00:38:09,090 --> 00:38:14,670 +wide, 20 cm, so 20 cm is usually small, 20 cm is + +480 +00:38:14,670 --> 00:38:19,370 +usually small If we right click and try to see how + +481 +00:38:19,370 --> 00:38:25,110 +high it is, of course, the height isIt's supposed + +482 +00:38:25,110 --> 00:38:33,370 +to be five height .. five height of the object But + +483 +00:38:33,370 --> 00:38:35,470 +I have here .. maybe I made a mistake in drawing + +484 +00:38:35,470 --> 00:38:43,670 +Maybe + +485 +00:38:43,670 --> 00:38:48,880 +I made a mistake in drawingلأن مافيش تحكم كتير + +486 +00:38:48,880 --> 00:38:52,260 +بالإشعارات، القصد إنه هتطلع على قعد عشرين سانتي + +487 +00:38:52,260 --> 00:38:55,300 +تماما to the right و هذه virtual، ليش؟ لأن ال + +488 +00:38:55,300 --> 00:38:58,840 +image بنعكس من ال mirror divergent، divergent، + +489 +00:38:58,840 --> 00:39:01,680 +فبالتالي هذه القضية بال divergence calculation + +490 +00:39:01,680 --> 00:39:05,980 +ممكن تحسن، اتوقف عند هذه المقطة و يعطيكم العافية و + +491 +00:39:05,980 --> 00:39:08,320 +السلام عليكم و رحمة الله وبركة + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..e9e46b70457964e4ee08fbdc6d7c5152411809b0 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34_postprocess.srt @@ -0,0 +1,1956 @@ +1 +00:00:01,890 --> 00:00:05,690 +بسم الله الرحمن الرحيم بنواصل محاضرات ال geometric + +2 +00:00:05,690 --> 00:00:08,710 +optics و اتوقفنا المرة الماضية عند ال image + +3 +00:00:08,710 --> 00:00:13,850 +quality اللي هي تالت صفة من صفات الصورة اللي + +4 +00:00:13,850 --> 00:00:16,210 +بنذاكر فيهم، بنقول صفات الصورة او ال image + +5 +00:00:16,210 --> 00:00:20,110 +characteristics هي ال magnification و ال location + +6 +00:00:20,110 --> 00:00:23,990 +و ال quality و ال brightness لما بنحكي عن ال + +7 +00:00:23,990 --> 00:00:27,850 +quality يعني احنا بنحكي عن جودة الصورةCareful + +8 +00:00:27,850 --> 00:00:32,130 +examination reveals that some details in an object + +9 +00:00:32,130 --> 00:00:36,290 +are not reproduced in the image لو احنا تفحصنا + +10 +00:00:36,290 --> 00:00:42,430 +صورة تكونت لجسم ما بواسطة optical system مهما كانت + +11 +00:00:42,430 --> 00:00:45,450 +جودة ال optical system او العدسات اللي مستخدمة في + +12 +00:00:45,450 --> 00:00:50,770 +التصوير فلو فاتفحصنا صورة لهذا ال optical system + +13 +00:00:50,770 --> 00:00:55,970 +كوّانها ل object صورة ل object فهذه ال imageحنلاقي + +14 +00:00:55,970 --> 00:01:01,270 +انه بعض التفاصيل, some details مش موجودة في ال + +15 +00:01:01,270 --> 00:01:06,110 +image بينما هي بالاساس موجودة في ال object Images + +16 +00:01:06,110 --> 00:01:10,620 +are imperfect facts meansPictures, no matter how + +17 +00:01:10,620 --> 00:01:12,940 +similar they are to the object or objects they + +18 +00:01:12,940 --> 00:01:16,000 +originate from, or what they represent, are not + +19 +00:01:16,000 --> 00:01:19,100 +pictures as they originally were. That is, there + +20 +00:01:19,100 --> 00:01:21,500 +is no such thing as a picture as it originally was + +21 +00:01:21,500 --> 00:01:25,440 +from any object that existed through any optical + +22 +00:01:25,440 --> 00:01:30,220 +system that existed. Not exact scale duplicates of + +23 +00:01:30,220 --> 00:01:33,080 +the original object. To explain the picture in a + +24 +00:01:33,080 --> 00:01:38,200 +simpler way, we say, to consider the pictureIt's a + +25 +00:01:38,200 --> 00:01:46,260 +picture 100% 100% + +26 +00:01:46,260 --> 00:01:51,400 +100% 100% 100% + +27 +00:01:51,400 --> 00:01:55,220 +100% 100% 100% 100% 100% 100% 100% 100% 100% 100% + +28 +00:01:55,220 --> 00:01:58,980 +100% 100% 100% 100% 100% 100% 100% 100% 100% 100% + +29 +00:01:58,980 --> 00:02:02,180 +100% 100% 100% 100% 100% 100% 100% 100% 100% 100% + +30 +00:02:02,180 --> 00:02:05,500 +100% 100% 100% 100% 100% 100% 100% 100% 100% 100% + +31 +00:02:05,500 --> 00:02:05,540 +100% 100% 100% 100% 100% 100% 100% 100% 100% 100% + +32 +00:02:05,540 --> 00:02:05,860 +100% 100% 100% 100% 100% 100% 100% 100% 100% 100% + +33 +00:02:05,860 --> 00:02:07,740 +100% 100% 100% 100% 100%the pinhole we say + +34 +00:02:07,740 --> 00:02:11,460 +consider an object fifty centimeters in front of a + +35 +00:02:11,460 --> 00:02:15,620 +pinhole the pinhole is one millimeter in diameter + +36 +00:02:15,620 --> 00:02:19,700 +and the paper is placed fifty centimeters behind + +37 +00:02:19,700 --> 00:02:23,700 +the pinhole so magnification is one or is minus + +38 +00:02:23,700 --> 00:02:27,080 +one why is the magnification minus one because we + +39 +00:02:27,080 --> 00:02:30,180 +said that the transfer of magnification is equal + +40 +00:02:30,180 --> 00:02:33,090 +toImage distance which is on the right of the + +41 +00:02:33,090 --> 00:02:36,790 +pinhole which is 50cm over object distance on the + +42 +00:02:36,790 --> 00:02:39,990 +left of the pinhole which is minus 50cm So plus + +43 +00:02:39,990 --> 00:02:44,470 +50cm which is the image distance over minus 50cm + +44 +00:02:44,470 --> 00:02:46,910 +which is the object distance which is 50 over 51 + +45 +00:02:46,910 --> 00:02:50,540 +which is minus over plusOr plus on minus equals + +46 +00:02:50,540 --> 00:02:55,120 +minus So magnification minus one So why did we do + +47 +00:02:55,120 --> 00:02:59,420 +the experiment to get magnification minus one? To + +48 +00:02:59,420 --> 00:03:01,820 +make the size of the image or the height of the + +49 +00:03:01,820 --> 00:03:04,140 +image the same as the height of the object The + +50 +00:03:04,140 --> 00:03:08,040 +same height of the object A small pencil of rays + +51 +00:03:08,040 --> 00:03:11,320 +from each object point traverses the pinhole + +52 +00:03:11,320 --> 00:03:15,080 +aperture From each point in the object From each + +53 +00:03:15,080 --> 00:03:20,590 +point in the objectIhna here the object مش رسمينه + +54 +00:03:20,590 --> 00:03:26,250 +كله بس ما أخدنا نقطتين فقط نقطة مثلا A و نقطة B من + +55 +00:03:26,250 --> 00:03:30,940 +النقطة A حزمة ضوئيةIt's going to be its share, or + +56 +00:03:30,940 --> 00:03:33,120 +pencil of light, it's going to be its share to go + +57 +00:03:33,120 --> 00:03:36,320 +through the pinhole aperture, or the opening of + +58 +00:03:36,320 --> 00:03:39,320 +the pinhole Of course, this light band, when it + +59 +00:03:39,320 --> 00:03:42,080 +reaches the surface of the receipt paper, it does + +60 +00:03:42,080 --> 00:03:45,920 +not remain a point, but rather it becomes a circle + +61 +00:03:45,920 --> 00:03:49,520 +It becomes a circle, this circle is curved + +62 +00:03:49,520 --> 00:03:52,580 +compared to the point, they call it Blair circle, + +63 +00:03:52,720 --> 00:03:55,900 +Blair circle Of course, the second point is also + +64 +00:03:56,770 --> 00:03:59,410 +You will give me a layer circle, which means its + +65 +00:03:59,410 --> 00:04:01,890 +diameter can reach two millimeters, two + +66 +00:04:01,890 --> 00:04:06,030 +millimeters Okay, we don't forget a while ago we + +67 +00:04:06,030 --> 00:04:10,730 +said that the distance between .. the distance + +68 +00:04:10,730 --> 00:04:17,120 +between ..الجسم اللي هو هنا بيمثله نقطة فقط و ال + +69 +00:04:17,120 --> 00:04:20,340 +pinhole يعني من ال optical system للجسم اللي هي ال + +70 +00:04:20,340 --> 00:04:24,260 +object distance نص متر و ال image distance من ال + +71 +00:04:24,260 --> 00:04:27,660 +pinhole اللي هو ال optical system لل image ايضا نص + +72 +00:04:27,660 --> 00:04:31,620 +متر اذا بما انه مسافة ال image تساوي مسافة ال + +73 +00:04:31,620 --> 00:04:34,640 +object اذا التكبير اللي transfers magnification + +74 +00:04:34,640 --> 00:04:37,890 +اللي هو image distance على object distanceيساوي + +75 +00:04:37,890 --> 00:04:41,230 +minus one يعني الصورة ارتفاعها صحيح مجلوبة minus + +76 +00:04:41,230 --> 00:04:46,010 +minus يعني مجلوبة ولكن ارتفاعها يساوي ارتفاع ال + +77 +00:04:46,010 --> 00:04:49,250 +objectOkay, how is the height equal to the height + +78 +00:04:49,250 --> 00:04:53,210 +of the object although each point of the object in + +79 +00:04:53,210 --> 00:04:56,710 +the picture has become two millimeters thick It is + +80 +00:04:56,710 --> 00:04:59,030 +known that any light band that flows through the + +81 +00:04:59,030 --> 00:05:01,570 +vacuum and scatters the light, we do not talk + +82 +00:05:01,570 --> 00:05:03,790 +about the rest of the rays that came out of point + +83 +00:05:03,790 --> 00:05:06,590 +A or the rest of the rays that came out of point B + +84 +00:05:06,590 --> 00:05:10,090 +We only care about the band or the pencil of + +85 +00:05:10,090 --> 00:05:14,290 +light, the band of light that was destined to come + +86 +00:05:14,290 --> 00:05:18,040 +out of A andAnd you enter the bin hall and you go + +87 +00:05:18,040 --> 00:05:21,020 +and form a condition for what? A condition is a + +88 +00:05:21,020 --> 00:05:24,520 +circle that is not clear, that has a layer of + +89 +00:05:24,520 --> 00:05:27,320 +water, that is, its diameter is about 2 + +90 +00:05:27,320 --> 00:05:29,200 +millimeters Well, how will the size of the picture + +91 +00:05:29,200 --> 00:05:32,640 +be? That is, if every point in the object .. every + +92 +00:05:32,640 --> 00:05:35,620 +point in the object has become .. its picture is a + +93 +00:05:35,620 --> 00:05:39,690 +narrow circle, its diameter ..Or a narrow point, a + +94 +00:05:39,690 --> 00:05:41,830 +narrow circular point, its diameter is two + +95 +00:05:41,830 --> 00:05:43,410 +millimeters, which means that the image is + +96 +00:05:43,410 --> 00:05:45,930 +supposed to be very large Well, how is the image + +97 +00:05:45,930 --> 00:05:48,550 +the same size as the object or height the same as + +98 +00:05:48,550 --> 00:05:50,810 +the height of the object? With this speech, the + +99 +00:05:50,810 --> 00:05:54,270 +reason is that it is a condition, which is Chapter + +100 +00:05:54,270 --> 00:06:00,150 +A, which is a pointmore complicated than A and B + +101 +00:06:00,150 --> 00:06:02,350 +condition and C condition, there is an + +102 +00:06:02,350 --> 00:06:03,870 +interference between them Interference, they come + +103 +00:06:03,870 --> 00:06:07,430 +to each other This interference, this interference + +104 +00:06:07,430 --> 00:06:12,970 +makes the picture unclear or some details are lost + +105 +00:06:12,970 --> 00:06:16,570 +from it So that we can see the interference, we + +106 +00:06:16,570 --> 00:06:20,070 +say that the points close to each other interfere + +107 +00:06:20,070 --> 00:06:24,190 +with each otherThe primary player circle, which is + +108 +00:06:24,190 --> 00:06:25,850 +the picture of point A and the second player + +109 +00:06:25,850 --> 00:06:28,870 +circle, let's call it A, of course, and the second + +110 +00:06:28,870 --> 00:06:34,590 +player circle, which is B, comes part of it on A, + +111 +00:06:35,250 --> 00:06:37,790 +and part of it on C, and C comes part of it on A, + +112 +00:06:37,930 --> 00:06:40,410 +and so on, so the pictures of the points + +113 +00:06:40,410 --> 00:06:44,710 +interfere, to clarify the issue more and more, we + +114 +00:06:44,710 --> 00:06:47,250 +say, we will go to this presentation, of course, + +115 +00:06:47,650 --> 00:06:51,690 +which clarifies the ideaWe assume that a light + +116 +00:06:51,690 --> 00:06:54,610 +beam came out of A and that this is A point, this + +117 +00:06:54,610 --> 00:06:58,430 +point or the narrow point or the narrow circle or + +118 +00:06:58,430 --> 00:07:02,310 +the Blair circle which is the point or the curved + +119 +00:07:02,310 --> 00:07:04,430 +circle this is A point which is the picture of + +120 +00:07:04,430 --> 00:07:07,870 +point A and this is B point and this is C point + +121 +00:07:07,870 --> 00:07:11,330 +and behind them is D point and this is F point and + +122 +00:07:11,330 --> 00:07:14,550 +this is E point and this is K point So every + +123 +00:07:14,550 --> 00:07:19,250 +circle that we see drawn in colorsTo clarify the + +124 +00:07:19,250 --> 00:07:21,990 +idea and so that we can distinguish them from each + +125 +00:07:21,990 --> 00:07:25,150 +other As a result of their interference, as a + +126 +00:07:25,150 --> 00:07:28,990 +result of their interference, the quality of the + +127 +00:07:28,990 --> 00:07:32,350 +image is lost The more they interfere, the more + +128 +00:07:32,350 --> 00:07:35,070 +the quality of the image is lost, that is, the + +129 +00:07:35,070 --> 00:07:38,070 +details disappear, they distort each other This + +130 +00:07:38,070 --> 00:07:42,690 +means that it can look likeIn public life, but in + +131 +00:07:42,690 --> 00:07:45,390 +the field of voice, in the field of voice, that a + +132 +00:07:45,390 --> 00:07:47,570 +person wants to give a lecture, and we have two + +133 +00:07:47,570 --> 00:07:50,790 +hundred people listening to this lecture, if he + +134 +00:07:50,790 --> 00:07:54,200 +was talking to himselfThe voice is clear and + +135 +00:07:54,200 --> 00:07:57,120 +audible If it was another person, it became him + +136 +00:07:57,120 --> 00:08:00,120 +and another person, there was a slight distortion + +137 +00:08:00,120 --> 00:08:04,560 +When there are ten people talking, there is more + +138 +00:08:04,560 --> 00:08:07,500 +distortion If all the lecturers, both of them were + +139 +00:08:07,500 --> 00:08:09,320 +talking to each other, its name became not a + +140 +00:08:09,320 --> 00:08:13,780 +lecture, it became a market, it became a market + +141 +00:08:13,780 --> 00:08:15,780 +Here when there is an interference between the + +142 +00:08:15,780 --> 00:08:19,350 +pointsSura of the point A, which is A in the + +143 +00:08:19,350 --> 00:08:21,290 +object, A condition in the image, which is the + +144 +00:08:21,290 --> 00:08:23,890 +picture of A And B condition, and C condition, and + +145 +00:08:23,890 --> 00:08:26,290 +D condition, and it all interferes with each other + +146 +00:08:26,290 --> 00:08:29,630 +It becomes .. it covers each other, it distorts + +147 +00:08:29,630 --> 00:08:34,150 +the clarity of each other, so that I have this + +148 +00:08:34,150 --> 00:08:36,910 +point, we want it to be what, reached and + +149 +00:08:36,910 --> 00:08:39,450 +understood Here if we wanted to show the case + +150 +00:08:39,450 --> 00:08:42,910 +without colors, without colors, we will find that + +151 +00:08:42,910 --> 00:08:44,630 +there is an interference between the pictures of + +152 +00:08:44,630 --> 00:08:48,210 +the points, this is to clarify the idea onlyA + +153 +00:08:48,210 --> 00:08:50,250 +condition interferes with B condition, with C + +154 +00:08:50,250 --> 00:08:52,610 +condition, the interference can be simple as we + +155 +00:08:52,610 --> 00:08:55,250 +see here And it can be a very big interference, + +156 +00:08:55,590 --> 00:08:59,810 +like this tight spot and this tight spot are + +157 +00:08:59,810 --> 00:09:06,770 +almost interfering with each other's + +158 +00:09:06,770 --> 00:09:10,430 +half of the space So the more the interference + +159 +00:09:10,430 --> 00:09:12,710 +increases, that is, many types or many sizes of + +160 +00:09:12,710 --> 00:09:16,050 +interferenceSo you will lose the quality of the + +161 +00:09:16,050 --> 00:09:18,790 +image, you will lose the quality of the image So + +162 +00:09:18,790 --> 00:09:22,210 +image quality, when we talk about image quality + +163 +00:09:22,210 --> 00:09:24,990 +and we want to do the experiment that we talked + +164 +00:09:24,990 --> 00:09:27,850 +about We will say that from each point in the + +165 +00:09:27,850 --> 00:09:32,830 +object, small pencil of rays from each object + +166 +00:09:32,830 --> 00:09:38,150 +point traverses the pinhole aperture means it will + +167 +00:09:38,150 --> 00:09:40,670 +contribute to the formation of the image as the + +168 +00:09:40,670 --> 00:09:44,490 +painterAnd the closer the two points in the object + +169 +00:09:44,490 --> 00:09:48,110 +are to each other, the more their pictures, which + +170 +00:09:48,110 --> 00:09:51,190 +are the spots or the player circles, interfere + +171 +00:09:51,190 --> 00:09:55,430 +with each other and thus blur each other and + +172 +00:09:55,430 --> 00:10:00,210 +reduce the quality of the picture. Now what's the + +173 +00:10:00,210 --> 00:10:03,010 +solution? What's the solution? The solution is to + +174 +00:10:03,010 --> 00:10:07,110 +minimizeThe pinhole is made smaller to make the + +175 +00:10:07,110 --> 00:10:10,410 +light band smaller in size and therefore the Blair + +176 +00:10:10,410 --> 00:10:13,870 +circle is smaller in size and therefore their + +177 +00:10:13,870 --> 00:10:17,590 +interference is less, their interference is less + +178 +00:10:17,590 --> 00:10:20,870 +and therefore this is the case each object point + +179 +00:10:20,870 --> 00:10:25,110 +produces two millimeter diameter spot in the image + +180 +00:10:25,110 --> 00:10:29,530 +that is, each point in the object is a circle or + +181 +00:10:29,530 --> 00:10:35,040 +spotقطور هاتنين ملي These spots are called player + +182 +00:10:35,040 --> 00:10:39,900 +circles بنسمي كل بقعة من هذه البقعة دوائر التغبيش + +183 +00:10:39,900 --> 00:10:43,520 +أو بقعة التغبيش لإن هم مش واضحين تماما، يعني في + +184 +00:10:43,520 --> 00:10:48,360 +كمية من عدم الوضوح بالنسبة لهمthis term is + +185 +00:10:48,360 --> 00:10:52,800 +somewhat misleading because off-axis object points + +186 +00:10:52,800 --> 00:10:56,420 +technically produce elliptical spots in the image + +187 +00:10:56,420 --> 00:11:00,180 +نرجع منقول دائما يعني لأ احنا سمناهم player circle + +188 +00:11:00,180 --> 00:11:04,360 +تجاوزا بس أحيانا بيكون نقطة في ال object off axis + +189 +00:11:04,360 --> 00:11:09,260 +يعني بعيدة عن ال optical axis بعيدة عن المحورSo + +190 +00:11:09,260 --> 00:11:12,220 +when there is a point in the object that is far + +191 +00:11:12,220 --> 00:11:14,720 +away, the rays or the light beam that comes from + +192 +00:11:14,720 --> 00:11:17,460 +it will come in a curve, it will not make a + +193 +00:11:17,460 --> 00:11:20,380 +circular point, it will make a white point, they + +194 +00:11:20,380 --> 00:11:23,080 +call it Blur Ellipse Regardless of whether it is a + +195 +00:11:23,080 --> 00:11:26,700 +Blur Circle or Blur Ellipse, then the image of + +196 +00:11:26,700 --> 00:11:30,560 +each point will occupy a somewhat larger area than + +197 +00:11:30,560 --> 00:11:33,020 +the image and this will cause interference between + +198 +00:11:33,020 --> 00:11:37,820 +the points imagesIn addition, this analysis + +199 +00:11:37,820 --> 00:11:40,760 +ignores diffraction effects that make the spot + +200 +00:11:40,760 --> 00:11:45,870 +larger and more irregularwhich is the Blair circle + +201 +00:11:45,870 --> 00:11:49,430 +as you can see or the Blair ellipse we still + +202 +00:11:49,430 --> 00:11:52,350 +haven't talked about something or phenomenon that + +203 +00:11:52,350 --> 00:11:56,490 +we talked about in previous lectures which is the + +204 +00:11:56,490 --> 00:11:58,850 +phenomenon of diffraction we can see that the + +205 +00:11:58,850 --> 00:12:03,070 +light beam entered from the pinhole and remained + +206 +00:12:03,070 --> 00:12:06,910 +straight in its path from the first point which we + +207 +00:12:06,910 --> 00:12:09,730 +called A and remained in its path to form a + +208 +00:12:09,730 --> 00:12:13,260 +condition and from the second pointIt remained in + +209 +00:12:13,260 --> 00:12:16,540 +its way and formed a condition for B Here between + +210 +00:12:16,540 --> 00:12:18,220 +B condition and A condition according to the + +211 +00:12:18,220 --> 00:12:20,340 +drawing there is no interference, while here there + +212 +00:12:20,340 --> 00:12:23,360 +is interference because A condition A and B are + +213 +00:12:23,360 --> 00:12:26,680 +close to each other, so A condition and B + +214 +00:12:26,680 --> 00:12:29,080 +condition are interfering and coming to each other + +215 +00:12:29,690 --> 00:12:32,970 +Of course, in these drawings, we neglected or did + +216 +00:12:32,970 --> 00:12:35,790 +not mention that when light passes through any + +217 +00:12:35,790 --> 00:12:38,470 +opening in a wall, whether pinhole or non-pinhole, + +218 +00:12:38,770 --> 00:12:41,390 +it has the phenomenon of diffraction, which is + +219 +00:12:41,390 --> 00:12:43,570 +that the edges move away from its path because + +220 +00:12:43,570 --> 00:12:46,990 +light has a wave natureand therefore it becomes + +221 +00:12:46,990 --> 00:12:49,590 +more complicated and it becomes something that is + +222 +00:12:49,590 --> 00:12:51,830 +not in a layer circle, something that is distorted + +223 +00:12:51,830 --> 00:12:55,730 +or in an irregular shape, whatever the condition, + +224 +00:12:55,850 --> 00:12:59,470 +it can be a shape that is close to being a spot or + +225 +00:12:59,470 --> 00:13:05,950 +ellipse or it can have distorted edgesIn addition, + +226 +00:13:06,190 --> 00:13:09,930 +this analysis ignores the diffraction effects that + +227 +00:13:09,930 --> 00:13:15,110 +make the spot larger and + +228 +00:13:15,110 --> 00:13:20,750 +more + +229 +00:13:20,750 --> 00:13:23,590 +irregular because it's not necessarily going to + +230 +00:13:23,590 --> 00:13:24,510 +end up + +231 +00:13:28,380 --> 00:13:31,960 +Regardless, each object point is represented by a + +232 +00:13:31,960 --> 00:13:35,100 +Blair circle in the image, and the farther the + +233 +00:13:35,100 --> 00:13:37,700 +image is from a pinhole, the larger the Blair + +234 +00:13:37,700 --> 00:13:38,880 +circle in the image + +235 +00:13:45,510 --> 00:13:49,590 +gave me circles or blair circles with a diameter + +236 +00:13:49,590 --> 00:13:53,710 +of 2 mm if we move away the receipt paper, it will + +237 +00:13:53,710 --> 00:13:55,890 +become bigger than the blair circle, why? because + +238 +00:13:55,890 --> 00:13:58,990 +the light will spread more and move away from each + +239 +00:13:58,990 --> 00:14:02,210 +other it will become after a period of 3 mm, 4 mm, + +240 +00:14:02,650 --> 00:14:06,430 +cm, etc. so, the more we move away the place of + +241 +00:14:06,430 --> 00:14:10,170 +the image, the more the diameter of the blair + +242 +00:14:10,170 --> 00:14:13,830 +circle increasesيعني هذه الدوائر بتصبح أكبر وأكبر + +243 +00:14:13,830 --> 00:14:19,830 +وبيزيد تداخلها مع بعضها البعض، مع بعضها البعض، مع + +244 +00:14:19,830 --> 00:14:21,690 +بعضها البعض، مع بعضها البعض، مع بعضها البعض، مع + +245 +00:14:21,690 --> 00:14:24,250 +بعضها البعض، مع بعضها البعض، مع بعضها البعض، مع + +246 +00:14:24,250 --> 00:14:24,750 +بعضها البعض, مع بعضها البعض, مع بعضها البعض, مع + +247 +00:14:24,750 --> 00:14:30,720 +بعضها البعض, مع بعضها البعضis reduced or blurred + +248 +00:14:30,720 --> 00:14:34,240 +by the degree to which the blur circles interfere + +249 +00:14:34,240 --> 00:14:37,820 +so that we do not forget blur circles each blur + +250 +00:14:37,820 --> 00:14:41,140 +circle is a picture of a point from the point of + +251 +00:14:41,140 --> 00:14:42,940 +the object that is, what is the condition of a + +252 +00:14:42,940 --> 00:14:46,630 +blur circle? What picture?B Sharta, we use the + +253 +00:14:46,630 --> 00:14:49,270 +word player circle, which is a circle or a point + +254 +00:14:49,270 --> 00:14:53,050 +which is a description of itself, a description of + +255 +00:14:53,050 --> 00:14:56,450 +itself So A Sharta and B Sharta and C Sharta and D + +256 +00:14:56,450 --> 00:14:58,390 +Sharta and so on, which are the pictures of the + +257 +00:14:58,390 --> 00:15:01,210 +points of the object on the receipt paper, which + +258 +00:15:01,210 --> 00:15:04,550 +in their group will form the image The more they + +259 +00:15:04,550 --> 00:15:08,090 +interfere with each other, the more the + +260 +00:15:08,090 --> 00:15:10,310 +interference increases, the more the image detail + +261 +00:15:22,440 --> 00:15:27,540 +to some extent, the loss of details is mitigated + +262 +00:15:27,540 --> 00:15:29,560 +with the use of smaller pinhole + +263 +00:15:36,120 --> 00:15:39,280 +Pinhole became smaller, the player circle became + +264 +00:15:39,280 --> 00:15:41,700 +smaller, and the ratio of interaction became + +265 +00:15:41,700 --> 00:15:46,260 +smaller, the picture became more detailed, more + +266 +00:15:46,260 --> 00:15:50,300 +detailed, but we have several things, the first + +267 +00:15:50,300 --> 00:15:54,210 +thingThe first thing we need to know is that the + +268 +00:15:54,210 --> 00:15:57,830 +smaller the pinhole is, the more details it gives + +269 +00:15:57,830 --> 00:15:58,610 +us. + +270 +00:16:01,670 --> 00:16:04,150 +Why? Because the player circles have less + +271 +00:16:04,150 --> 00:16:06,650 +interaction with each other. But we need to know + +272 +00:16:06,650 --> 00:16:09,490 +and remember from the first lecture that the + +273 +00:16:09,490 --> 00:16:12,830 +pinhole images are too faint to be useful. + +274 +00:16:18,230 --> 00:16:21,830 +طيب طالما باهيت جدا و أنا روحت زغرت ال pinhole + +275 +00:16:21,830 --> 00:16:25,630 +كمان و كمان إذا الحزمة الضوئية اللي أصبحت تدخل في + +276 +00:16:25,630 --> 00:16:28,990 +ال pinhole من كل نقطة من نقاط ال object أصبحت أصغر + +277 +00:16:28,990 --> 00:16:33,190 +عدد الأشعة أقل فبالتالي هتصير أبهت مما كانت عليه + +278 +00:16:33,190 --> 00:16:38,450 +إذا ال smaller pinhole كل مكان ال pinhole أصغر في + +279 +00:16:38,450 --> 00:16:45,490 +القطر بيعطيني more detailed بس أقل إضاءة يعني + +280 +00:16:45,490 --> 00:16:46,370 +بيعطيني + +281 +00:16:48,630 --> 00:16:53,130 +smaller pinhole gives dimmer but more detailed + +282 +00:16:53,130 --> 00:16:57,370 +image يعني بيعطيني صورة أكثر اعتاما بس أكثر + +283 +00:16:57,370 --> 00:17:03,110 +تفاصيلا أكثر اعتاما لإنه نصيب كل نقطة أو نصيب كل + +284 +00:17:03,110 --> 00:17:09,210 +صورة لنقطة نصيب إيه شرطة من إيه حزمة شععية أقل مما + +285 +00:17:09,510 --> 00:17:12,710 +if we used a bigger pinhole when we used a bigger + +286 +00:17:12,710 --> 00:17:16,470 +pinhole from A was a share of 100,000 rays + +287 +00:17:16,470 --> 00:17:19,190 +entering for example and becoming a condition for + +288 +00:17:19,190 --> 00:17:22,810 +A while when we used a smaller pinhole the 100,000 + +289 +00:17:22,810 --> 00:17:26,830 +rays became 1000 rays that is, the share fell down + +290 +00:17:26,830 --> 00:17:30,030 +to one percent of what it used to be if we say + +291 +00:17:30,030 --> 00:17:33,130 +that the main pinhole which is a little wider than + +292 +00:17:33,130 --> 00:17:36,310 +this means that its images are bigger so the + +293 +00:17:36,310 --> 00:17:38,410 +images of the smaller pinhole will be more + +294 +00:17:40,350 --> 00:17:44,610 +bahatanan and dimar means more probably, more + +295 +00:17:44,610 --> 00:17:49,750 +probably, so smaller pinhole gives dimar but more + +296 +00:17:49,750 --> 00:17:53,290 +detailed image, but the details in it are more, + +297 +00:17:53,570 --> 00:17:55,350 +what is the reason? Because it has less + +298 +00:17:55,350 --> 00:17:59,830 +interference, less interference withBetween + +299 +00:17:59,830 --> 00:18:02,690 +pictures of dots between A condition and B + +300 +00:18:02,690 --> 00:18:05,210 +condition and C condition because the Blair circle + +301 +00:18:05,210 --> 00:18:07,650 +gets smaller with the pinhole getting smaller + +302 +00:18:07,650 --> 00:18:11,950 +Using the smallest pinhole makes the picture + +303 +00:18:12,830 --> 00:18:16,210 +Correct, it's more coherent, but it has better + +304 +00:18:16,210 --> 00:18:19,270 +details, it has better details Let's see here the + +305 +00:18:19,270 --> 00:18:21,990 +experiment here, here I have the object, it's the + +306 +00:18:21,990 --> 00:18:25,650 +same object, here I used small hole or small pin + +307 +00:18:25,650 --> 00:18:31,290 +hole, and here I used large ..Hall, of course, the + +308 +00:18:31,290 --> 00:18:34,610 +small hall gave me a clearer image Clearer image, + +309 +00:18:34,750 --> 00:18:38,350 +but it is more obscured, that is, the amount of + +310 +00:18:38,350 --> 00:18:40,770 +light in it is less Because from every point of + +311 +00:18:40,770 --> 00:18:43,810 +the object point, its percentage in sending a + +312 +00:18:43,810 --> 00:18:47,390 +light band will be less than its image While here, + +313 +00:18:47,570 --> 00:18:49,790 +the percentage is greater, but there is an + +314 +00:18:49,790 --> 00:18:51,710 +interference between the points between A + +315 +00:18:51,710 --> 00:18:53,550 +condition and B condition and C condition and D + +316 +00:18:53,550 --> 00:18:56,890 +condition and so on So, the picture became as a + +317 +00:18:56,890 --> 00:18:57,850 +result of this interference + +318 +00:19:09,610 --> 00:19:14,350 +smaller penhole has advantages that it gives more + +319 +00:19:14,350 --> 00:19:17,710 +details and disadvantages that it gives less + +320 +00:19:17,710 --> 00:19:23,520 +detailsI'tam أكتر يعني الصورة معتمة أكتر بينما + +321 +00:19:23,520 --> 00:19:27,860 +تفاصيلها أوضح هنا الصورة مضيقة أكتر بس مغبشة نتيجة + +322 +00:19:27,860 --> 00:19:33,380 +تداخل صور النقاط مع بعضها البعضsmaller pinhole + +323 +00:19:33,380 --> 00:19:36,740 +gives dimmer but more detailed image however + +324 +00:19:36,740 --> 00:19:41,480 +smaller the pinhole the more the diffraction + +325 +00:19:41,480 --> 00:19:43,580 +reduces image equality + +326 +00:19:48,320 --> 00:19:50,660 +أحنا هنا مش رسمين ظاهرة الـ diffraction أحنا هنا + +327 +00:19:50,660 --> 00:19:51,980 +مش رسمين ظاهرة الـ diffraction كل ما زغرنا ال + +328 +00:19:51,980 --> 00:19:55,320 +pinhole بيزيد ال diffraction اللي هو حيود الأشعة + +329 +00:19:55,320 --> 00:19:59,720 +عن مصارها و تشتتها و بالتالي هيزيد في مشكلة عدم + +330 +00:19:59,720 --> 00:20:03,920 +وضوح الصورة لأنه أنا زغرت ال pinhole لإذا تصغير ال + +331 +00:20:03,920 --> 00:20:04,420 +pinhole + +332 +00:20:17,590 --> 00:20:22,570 +the only way to avoid any loss of detail is to + +333 +00:20:22,570 --> 00:20:26,690 +produce a perfect point image of each object point + +334 +00:20:28,890 --> 00:20:32,510 +القاعدة الرئيسية أو القاعدة الأم هذه الجملة هي + +335 +00:20:32,510 --> 00:20:38,610 +القاعدة الأم للحصول على صورة طبق الأصل من أي جسم، + +336 +00:20:38,610 --> 00:20:44,210 +من أي جسم نرجع للصورة الملونة هنا، بنقول، بدنا + +337 +00:20:44,210 --> 00:20:47,830 +ناخد البقعة المضيقة هاي باللون الأبيض، بنقول هاي + +338 +00:20:47,830 --> 00:20:50,970 +صورة النقطة A، النقطة A موجودة في ال object و هاي + +339 +00:20:50,970 --> 00:20:54,420 +صورتها في ال imageand here this is the picture of + +340 +00:20:54,420 --> 00:20:59,280 +point B in yellow and here in red is the picture + +341 +00:20:59,280 --> 00:21:00,300 +of point C + +342 +00:21:23,430 --> 00:21:29,750 +وصور نقاط أخرى المهم جد ما احنا نظغر في الدوائر + +343 +00:21:29,750 --> 00:21:33,390 +هاى أو في البقع هاى بتصغير البنهول أو بأي وسيلة + +344 +00:21:33,390 --> 00:21:39,130 +كانت بنستطيعها الحل الوحيد عشان الصورة .. عشان + +345 +00:21:39,130 --> 00:21:42,820 +الصورة تصير ..Its quality and details are all + +346 +00:21:42,820 --> 00:21:46,380 +there, that is, the details in the object are the + +347 +00:21:46,380 --> 00:21:49,360 +same as those in the picture, in other words, in + +348 +00:21:49,360 --> 00:21:52,020 +order for the picture to resemble the object one + +349 +00:21:52,020 --> 00:21:55,960 +hundred percent, we must reach a point that there + +350 +00:21:55,960 --> 00:21:59,890 +is no interferenceThere is no interference in the + +351 +00:21:59,890 --> 00:22:02,590 +sense that there is no point image that interferes + +352 +00:22:02,590 --> 00:22:05,170 +with another point image What is the condition? Do + +353 +00:22:05,170 --> 00:22:07,330 +not interfere with B condition or with C condition + +354 +00:22:07,330 --> 00:22:10,070 +or one of them interferes with the other And so on + +355 +00:22:10,070 --> 00:22:13,570 +all images of points of the object In order to + +356 +00:22:13,570 --> 00:22:16,930 +reach this point, in order not to interfere, what + +357 +00:22:16,930 --> 00:22:20,130 +condition must be a point? Like A is a point in + +358 +00:22:20,130 --> 00:22:23,470 +the object, point And B condition must be a point + +359 +00:22:23,470 --> 00:22:27,850 +When we minimize the Blair CircleOr the Blur + +360 +00:22:27,850 --> 00:22:31,110 +Ellipse, when we minimize the image of the point + +361 +00:22:31,110 --> 00:22:36,170 +to the extent that we can get the image of the + +362 +00:22:36,170 --> 00:22:40,430 +point to be a point, then there will be no + +363 +00:22:40,430 --> 00:22:42,610 +interference between the images of the points of + +364 +00:22:42,610 --> 00:22:45,530 +the body, which in a group will form a picture, + +365 +00:22:45,630 --> 00:22:49,880 +and then the picture will be a perfect imageA full + +366 +00:22:49,880 --> 00:22:52,960 +picture with all the details of the object, + +367 +00:22:53,060 --> 00:22:55,720 +meaning that if we put it next to the object, the + +368 +00:22:55,720 --> 00:22:57,940 +person will not be able to distinguish between + +369 +00:22:57,940 --> 00:23:00,880 +which image and which body, which image and which + +370 +00:23:00,880 --> 00:23:06,000 +body So the basic rule to get a high image quality + +371 +00:23:06,000 --> 00:23:09,480 +or the highest image quality or image quality one + +372 +00:23:09,480 --> 00:23:11,400 +hundred percent, what does image quality mean one + +373 +00:23:11,400 --> 00:23:14,380 +hundred percent? It means a picture according to + +374 +00:23:14,380 --> 00:23:20,170 +the originalabout the object that is 100% similar + +375 +00:23:20,170 --> 00:23:24,370 +in every detail so that I can get every point from + +376 +00:23:24,370 --> 00:23:29,450 +the object's pointsIts image must be a point in + +377 +00:23:29,450 --> 00:23:32,910 +the image Why must its image be a point as it is a + +378 +00:23:32,910 --> 00:23:36,330 +point? Because if the image of each point of the + +379 +00:23:36,330 --> 00:23:39,510 +body in the image was a point It will not + +380 +00:23:39,510 --> 00:23:42,330 +interfere with the images of the points And + +381 +00:23:42,330 --> 00:23:44,970 +therefore, as long as they do not interfere with + +382 +00:23:44,970 --> 00:23:46,990 +each other They will not interfere with each other + +383 +00:23:46,990 --> 00:23:50,610 +And on the contrary, the images will contain all + +384 +00:23:50,610 --> 00:23:56,260 +the details As long as the image of the pointsIt's + +385 +00:23:56,260 --> 00:24:00,020 +about things that are bigger than a dot, a circle, + +386 +00:24:00,640 --> 00:24:04,600 +or an oval shape, or an irregular shape, that will + +387 +00:24:04,600 --> 00:24:07,880 +be interfered with, as we see here, for example, + +388 +00:24:08,000 --> 00:24:09,800 +here in my region, there will be 4 interferences + +389 +00:24:10,860 --> 00:24:14,160 +Parts, this is the first part, this is the second + +390 +00:24:14,160 --> 00:24:16,840 +part, this is the third part, and this is the + +391 +00:24:16,840 --> 00:24:20,780 +fourth part. I have four narrow parts, and these + +392 +00:24:20,780 --> 00:24:23,180 +even interfere with each other, these five or four + +393 +00:24:23,180 --> 00:24:25,520 +and so on. And here too, from the side, it + +394 +00:24:25,520 --> 00:24:27,080 +interferes with each other. So, pictures of + +395 +00:24:27,080 --> 00:24:30,880 +points, when they are single parts and have no + +396 +00:24:30,880 --> 00:24:33,800 +space,On a picture bigger than a point, it must + +397 +00:24:33,800 --> 00:24:36,380 +interfere with the pictures of the adjacent points + +398 +00:24:36,380 --> 00:24:41,100 +and thus blur each other and there will not be + +399 +00:24:41,100 --> 00:24:44,320 +high clarity or image quality The more the + +400 +00:24:44,320 --> 00:24:46,540 +interference increases, the worse the picture and + +401 +00:24:46,540 --> 00:24:50,960 +its image quality becomes lessThe less the + +402 +00:24:50,960 --> 00:24:56,640 +interference, the clearer the picture became and + +403 +00:24:56,640 --> 00:24:59,340 +its quality became higher, that is, it began to + +404 +00:24:59,340 --> 00:25:04,420 +resemble the object more. In order to reach a 100% + +405 +00:25:04,420 --> 00:25:07,620 +resemblance to the object, each image of the point + +406 +00:25:07,620 --> 00:25:11,740 +image must be a point, because a point is a very + +407 +00:25:11,740 --> 00:25:15,520 +small point, so it will not interfere with the + +408 +00:25:15,520 --> 00:25:17,640 +surrounding points, and what revolves around it + +409 +00:25:17,640 --> 00:25:18,060 +will be + +410 +00:25:24,080 --> 00:25:29,900 +The only way to avoid any loss of detail عشان ما + +411 +00:25:29,900 --> 00:25:33,240 +نفقدش أي تفصيل من الصورة موجود بالاساس في ال + +412 +00:25:33,240 --> 00:25:38,350 +objectLazim إنه نعمل production إنه ننتج صورة + +413 +00:25:38,350 --> 00:25:43,730 +perfect point image of each object point يعني بدّي + +414 +00:25:43,730 --> 00:25:47,210 +أعطي .. لكل نقطة في ال object صورتها بده تكون في + +415 +00:25:47,210 --> 00:25:51,690 +ال image عبارة عن نقطة و نقطة فقط مش أكتر من نقطة + +416 +00:25:51,690 --> 00:25:57,900 +Theoretically نظريا if a perfect point imagecould + +417 +00:25:57,900 --> 00:26:01,600 +be produced for every point of an object, the + +418 +00:26:01,600 --> 00:26:05,880 +image would be an exact duplicate of the object + +419 +00:26:05,880 --> 00:26:12,290 +إذا قدرنا إنه من كل نقطة من نقاط ال objectWith the + +420 +00:26:12,290 --> 00:26:16,710 +help of the optical system that each point is a + +421 +00:26:16,710 --> 00:26:19,930 +point, not just one point, each point of the + +422 +00:26:19,930 --> 00:26:23,190 +object point A, point B, point C, point D, point + +423 +00:26:23,190 --> 00:26:24,090 +E, point E, point E, point E, point E, point E, + +424 +00:26:24,090 --> 00:26:25,810 +point E, point E, point E, point E, point E, point + +425 +00:26:25,810 --> 00:26:26,890 +E, point E, point E, point E, point E, point E, + +426 +00:26:26,890 --> 00:26:26,950 +E, point E, point E, point E, point E, point E, + +427 +00:26:26,950 --> 00:26:27,130 +point E, point E, point E, point E, point E, point + +428 +00:26:27,130 --> 00:26:27,970 +E, point E, point E, point E, point E, point E, + +429 +00:26:27,970 --> 00:26:28,470 +point E, point E, point E, point E, point E, point + +430 +00:26:28,470 --> 00:26:28,530 +E, point E, point E, point E, point E, point E, + +431 +00:26:28,530 --> 00:26:28,970 +point E, point E, point E, point E, point E, point + +432 +00:26:28,970 --> 00:26:35,430 +E, point E, point E, point E, point E, point E, + +433 +00:26:35,990 --> 00:26:41,760 +point E, point Eand B-sharp is a point and C-sharp + +434 +00:26:41,760 --> 00:26:44,620 +is a point to infinity until it completes all + +435 +00:26:44,620 --> 00:26:46,600 +points of the object, that is, the pictures of the + +436 +00:26:46,600 --> 00:26:50,020 +points of the object are all points if we reach + +437 +00:26:50,020 --> 00:26:54,080 +this case, then we will get a picture according to + +438 +00:26:54,080 --> 00:26:56,860 +the origin of the object, which means that if we + +439 +00:26:56,860 --> 00:26:58,820 +put this picture next to the object, we should not + +440 +00:26:58,820 --> 00:27:01,440 +be able to distinguish between them because they + +441 +00:27:01,440 --> 00:27:03,800 +have the same details and why here I say + +442 +00:27:03,800 --> 00:27:06,810 +theoretically becausePractically, practically + +443 +00:27:06,810 --> 00:27:12,410 +until now, no matter how advanced the cameras and + +444 +00:27:12,410 --> 00:27:17,810 +lenses are from the amazing capabilities, except + +445 +00:27:17,810 --> 00:27:21,290 +that we have not reached a device that produces a + +446 +00:27:21,290 --> 00:27:28,190 +picture 100% according to the original, 100%We say + +447 +00:27:28,190 --> 00:27:32,070 +perfect point image of an object point is called a + +448 +00:27:32,070 --> 00:27:37,250 +stigmatic image Stigmatic image When we get a + +449 +00:27:37,250 --> 00:27:39,930 +picture of each point from the point of the object + +450 +00:27:39,930 --> 00:27:42,950 +in the form of a point That is, the picture of the + +451 +00:27:42,950 --> 00:27:46,470 +point is a point, I call it a stigmatic image + +452 +00:27:46,470 --> 00:27:51,090 +Stigmatic, not astigmatic, stigmatic image means a + +453 +00:27:51,090 --> 00:27:54,010 +picture as it should be Stigmatic image means a + +454 +00:27:54,010 --> 00:27:58,560 +picture as it should be The word stigmaticIt came + +455 +00:27:58,560 --> 00:28:02,800 +from the ancient Greek language, Greek, from the + +456 +00:28:02,800 --> 00:28:08,360 +word stigma Stigma means sharply pointed stylus, + +457 +00:28:08,760 --> 00:28:10,780 +which means sharply pointed stylus, which means + +458 +00:28:10,780 --> 00:28:13,760 +sharply pointed stylus, which means sharply + +459 +00:28:13,760 --> 00:28:17,340 +pointed stylus, which means sharply pointed + +460 +00:28:17,340 --> 00:28:20,140 +stylus, which means sharply pointed stylus, which + +461 +00:28:20,140 --> 00:28:21,920 +means sharply pointed stylus, which means sharply + +462 +00:28:21,920 --> 00:28:23,000 +pointed stylus, which means sharply pointed + +463 +00:28:23,000 --> 00:28:25,020 +stylus, which means sharply pointed stylus, which + +464 +00:28:25,020 --> 00:28:26,280 +stylus, which means sharply pointed stylus + +465 +00:28:45,140 --> 00:28:51,770 +Loss of detailsoccurs in lens and mirror imaging + +466 +00:28:51,770 --> 00:28:55,930 +as well as well as well as well as well as well as + +467 +00:28:55,930 --> 00:28:56,030 +well as well as well as well as well as well as + +468 +00:28:56,030 --> 00:28:56,070 +well as well as well as well as well as well as + +469 +00:28:56,070 --> 00:29:00,430 +well as well as well as well as well as well as + +470 +00:29:00,430 --> 00:29:14,110 +well as well as well as well as well as well as + +471 +00:29:14,110 --> 00:29:15,850 +well as well as well as well as well as well as + +472 +00:29:15,850 --> 00:29:16,550 +well as well as well as well as well as well as + +473 +00:29:16,550 --> 00:29:17,590 +well as well as well as well as well as well as + +474 +00:29:17,590 --> 00:29:17,610 +well as well as well as well as well as well as + +475 +00:29:17,610 --> 00:29:17,650 +well as well as well as well as well as well as + +476 +00:29:17,650 --> 00:29:17,670 +well as well as well as well as well as well as + +477 +00:29:17,670 --> 00:29:17,690 +well as well as well as well as well as well as + +478 +00:29:17,690 --> 00:29:17,830 +well as well as well as well as well as well as + +479 +00:29:17,970 --> 00:29:21,890 +صورة طبق الأصل 100% المرة القادمة ان شاء الله + +480 +00:29:21,890 --> 00:29:28,390 +يتعالى هنتكلم على إيش اللي بيحصل معايا لما بستخدم + +481 +00:29:28,390 --> 00:29:32,390 +optical system عبارة عن lens أو mirror يترا كيف + +482 +00:29:32,390 --> 00:29:36,710 +شكل صور النقاط صورة A اللي هي A شرطة وصورة B اللي + +483 +00:29:36,710 --> 00:29:41,690 +هي B شرطةكيف بيكون شكلهم لما بستخدم العدسات و + +484 +00:29:41,690 --> 00:29:44,670 +المرايا طبعا احنا لما استخدمنا اليوم ال pen hole + +485 +00:29:44,670 --> 00:29:48,410 +اعتطنى صورة النقطة عبارة عن بقعة و سمناها هذه + +486 +00:29:48,410 --> 00:29:52,790 +البقعة player circle او player ال lips طب لما + +487 +00:29:52,790 --> 00:29:55,930 +بستخدم عدسة اش اللى هى يصير الوضع عندى هذا اللى + +488 +00:29:55,930 --> 00:29:59,050 +هنعرفه فى المحاضرة الجاية و يعطيكوا .. يعطيكوا + +489 +00:29:59,050 --> 00:30:02,250 +العافية و السلام عليكم و رحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..61359b5be7ddb4b157a87ec9d181c3a7c0205bbc --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/bblFe1vtD34_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2651, "start": 1.89, "end": 26.51, "text": "بسم الله الرحمن الرحيم بنواصل محاضرات ال geometric optics و اتوقفنا المرة الماضية عند ال image quality اللي هي تالت صفة من صفات الصورة اللي بنذاكر فيهم، بنقول صفات الصورة او ال 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"start": 55.57, "end": 68.19, "text": "حنلاقي انه بعض التفاصيل, some details مش موجودة في ال image بينما هي بالاساس موجودة في ال object Images are imperfect facts means", "tokens": [5016, 1863, 15040, 38436, 16472, 3224, 45030, 11242, 16712, 5172, 33546, 26895, 11, 512, 4365, 37893, 3714, 29245, 23328, 3660, 8978, 2423, 3256, 49374, 15042, 39896, 20666, 32277, 32277, 3714, 29245, 23328, 3660, 8978, 2423, 2657, 4331, 1660, 366, 26714, 9130, 1355], "avg_logprob": -0.20839390089345533, "compression_ratio": 1.3120567375886525, "no_speech_prob": 0.0, "words": [{"start": 55.57, "end": 55.97, "word": "حنلاقي", "probability": 0.65667724609375}, {"start": 55.97, "end": 56.19, "word": " انه", "probability": 0.465576171875}, {"start": 56.19, "end": 56.53, "word": " بعض", "probability": 0.989501953125}, {"start": 56.53, "end": 57.33, "word": " التفاصيل,", "probability": 0.97412109375}, {"start": 57.47, "end": 57.63, "word": " some", "probability": 0.9208984375}, {"start": 57.63, "end": 58.19, 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each other This interference, this interference makes the picture unclear or some details are lost from it So that we can see the interference, we say that the points close to each other interfere with each other", "tokens": [3138, 6179, 813, 316, 293, 363, 4188, 293, 383, 4188, 11, 456, 307, 364, 24497, 1296, 552, 5751, 5158, 11, 436, 808, 281, 1184, 661, 639, 24497, 11, 341, 24497, 1669, 264, 3036, 25636, 420, 512, 4365, 366, 2731, 490, 309, 407, 300, 321, 393, 536, 264, 24497, 11, 321, 584, 300, 264, 2793, 1998, 281, 1184, 661, 23946, 365, 1184, 661], "avg_logprob": -0.5520833200878568, "compression_ratio": 1.8977272727272727, "no_speech_prob": 9.006261825561523e-05, "words": [{"start": 357.11, "end": 357.67, "word": "more", "probability": 0.0946044921875}, {"start": 357.67, "end": 357.85, "word": " complicated", "probability": 0.2169189453125}, {"start": 357.85, "end": 358.53, "word": " than", "probability": 0.72216796875}, {"start": 358.53, "end": 359.35, "word": " A", 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375.09, "word": " can", "probability": 0.58056640625}, {"start": 375.09, "end": 375.23, "word": " see", "probability": 0.82763671875}, {"start": 375.23, "end": 375.39, "word": " the", "probability": 0.626953125}, {"start": 375.39, "end": 375.81, "word": " interference,", "probability": 0.7998046875}, {"start": 376.23, "end": 376.57, "word": " we", "probability": 0.6064453125}, {"start": 376.57, "end": 376.87, "word": " say", "probability": 0.8359375}, {"start": 376.87, "end": 377.07, "word": " that", "probability": 0.3671875}, {"start": 377.07, "end": 377.13, "word": " the", "probability": 0.53369140625}, {"start": 377.13, "end": 377.49, "word": " points", "probability": 0.724609375}, {"start": 377.49, "end": 378.03, "word": " close", "probability": 0.440185546875}, {"start": 378.03, "end": 378.25, "word": " to", "probability": 0.86328125}, {"start": 378.25, "end": 378.75, "word": " each", "probability": 0.9150390625}, {"start": 378.75, "end": 378.93, "word": " other", "probability": 0.88916015625}, {"start": 378.93, "end": 380.07, "word": " interfere", "probability": 0.446533203125}, {"start": 380.07, "end": 380.75, "word": " with", "probability": 0.6962890625}, {"start": 380.75, "end": 381.17, "word": " each", "probability": 0.92041015625}, {"start": 381.17, "end": 381.65, "word": " other", "probability": 0.90283203125}], "temperature": 1.0}, {"id": 18, "seek": 40891, "start": 382.23, "end": 408.91, "text": "The primary player circle, which is the picture of point A and the second player circle, let's call it A, of course, and the second player circle, which is B, comes part of it on A, and part of it on C, and C comes part of it on A, and so on, so the pictures of the points interfere, to clarify the issue more and more, we say, we will go to this presentation, of course, which clarifies the idea", "tokens": [2278, 6194, 4256, 6329, 11, 597, 307, 264, 3036, 295, 935, 316, 293, 264, 1150, 4256, 6329, 11, 718, 311, 818, 309, 316, 11, 295, 1164, 11, 293, 264, 1150, 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"word": " of", "probability": 0.962890625}, {"start": 399.97, "end": 400.03, "word": " the", "probability": 0.75634765625}, {"start": 400.03, "end": 400.41, "word": " points", "probability": 0.71826171875}, {"start": 400.41, "end": 401.17, "word": " interfere,", "probability": 0.435302734375}, {"start": 401.47, "end": 401.85, "word": " to", "probability": 0.61328125}, {"start": 401.85, "end": 402.25, "word": " clarify", "probability": 0.5810546875}, {"start": 402.25, "end": 402.47, "word": " the", "probability": 0.8916015625}, {"start": 402.47, "end": 402.79, "word": " issue", "probability": 0.341552734375}, {"start": 402.79, "end": 402.99, "word": " more", "probability": 0.492919921875}, {"start": 402.99, "end": 403.83, "word": " and", "probability": 0.93359375}, {"start": 403.83, "end": 404.17, "word": " more,", "probability": 0.93310546875}, {"start": 404.51, "end": 404.71, "word": " we", "probability": 0.91796875}, {"start": 404.71, "end": 404.91, "word": " say,", "probability": 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580.09, "end": 580.31, "word": " image", "probability": 0.63916015625}, {"start": 580.31, "end": 580.53, "word": " as", "probability": 0.66455078125}, {"start": 580.53, "end": 580.67, "word": " the", "probability": 0.435546875}, {"start": 580.67, "end": 580.91, "word": " painter", "probability": 0.408447265625}], "temperature": 1.0}, {"id": 26, "seek": 60345, "start": 581.31, "end": 603.45, "text": "And the closer the two points in the object are to each other, the more their pictures, which are the spots or the player circles, interfere with each other and thus blur each other and reduce the quality of the picture. Now what's the solution? What's the solution? The solution is to minimize", "tokens": [5289, 264, 4966, 264, 732, 2793, 294, 264, 2657, 366, 281, 1184, 661, 11, 264, 544, 641, 5242, 11, 597, 366, 264, 10681, 420, 264, 4256, 13040, 11, 23946, 365, 1184, 661, 293, 8807, 14257, 1184, 661, 293, 5407, 264, 3125, 295, 264, 3036, 13, 823, 437, 311, 264, 3827, 30, 708, 311, 264, 3827, 30, 440, 3827, 307, 281, 17522], "avg_logprob": -0.5277217828458355, "compression_ratio": 1.7093023255813953, "no_speech_prob": 1.5139579772949219e-05, "words": [{"start": 581.31, "end": 582.29, "word": "And", "probability": 0.10333251953125}, {"start": 582.29, "end": 582.55, "word": " the", "probability": 0.452880859375}, {"start": 582.55, "end": 582.81, "word": " closer", "probability": 0.65576171875}, {"start": 582.81, "end": 583.01, "word": " the", "probability": 0.442138671875}, {"start": 583.01, "end": 583.03, "word": " two", "probability": 0.57861328125}, {"start": 583.03, "end": 583.37, "word": " points", "probability": 0.61669921875}, {"start": 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in size and therefore their interference is less, their interference is less and therefore this is the case each object point produces two millimeter diameter spot in the image that is, each point in the object is a circle or spot", "tokens": [2278, 5447, 14094, 307, 1027, 4356, 281, 652, 264, 1442, 4116, 4356, 294, 2744, 293, 4412, 264, 42157, 6329, 307, 4356, 294, 2744, 293, 4412, 641, 24497, 307, 1570, 11, 641, 24497, 307, 1570, 293, 4412, 341, 307, 264, 1389, 1184, 2657, 935, 14725, 732, 17942, 14196, 4008, 294, 264, 3256, 300, 307, 11, 1184, 935, 294, 264, 2657, 307, 257, 6329, 420, 4008], "avg_logprob": -0.6370192307692307, "compression_ratio": 2.0059171597633134, "no_speech_prob": 3.7550926208496094e-06, "words": [{"start": 604.33, "end": 605.17, "word": "The", "probability": 0.09307861328125}, {"start": 605.17, "end": 605.81, "word": " pinhole", "probability": 0.545654296875}, {"start": 605.81, "end": 605.81, "word": " is", "probability": 0.498046875}, {"start": 605.81, "end": 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{"start": 620.37, "end": 620.87, "word": " point", "probability": 0.970703125}, {"start": 620.87, "end": 622.09, "word": " produces", "probability": 0.90283203125}, {"start": 622.09, "end": 622.59, "word": " two", "probability": 0.599609375}, {"start": 622.59, "end": 623.13, "word": " millimeter", "probability": 0.7099609375}, {"start": 623.13, "end": 623.77, "word": " diameter", "probability": 0.7431640625}, {"start": 623.77, "end": 624.33, "word": " spot", "probability": 0.830078125}, {"start": 624.33, "end": 624.63, "word": " in", "probability": 0.9345703125}, {"start": 624.63, "end": 624.75, "word": " the", "probability": 0.9208984375}, {"start": 624.75, "end": 625.11, "word": " image", "probability": 0.93603515625}, {"start": 625.11, "end": 625.83, "word": " that", "probability": 0.11639404296875}, {"start": 625.83, "end": 625.91, "word": " is,", "probability": 0.533203125}, {"start": 626.07, "end": 626.21, "word": " each", "probability": 0.441162109375}, {"start": 626.21, "end": 626.55, "word": " point", "probability": 0.8291015625}, {"start": 626.55, "end": 626.71, "word": " in", "probability": 0.8525390625}, {"start": 626.71, "end": 626.83, "word": " the", "probability": 0.8837890625}, {"start": 626.83, "end": 627.27, "word": " object", "probability": 0.80078125}, {"start": 627.27, "end": 627.45, "word": " is", "probability": 0.2470703125}, {"start": 627.45, "end": 628.41, "word": " a", "probability": 0.72998046875}, {"start": 628.41, "end": 628.95, "word": " circle", "probability": 0.7958984375}, {"start": 628.95, "end": 629.53, "word": " or", "probability": 0.94775390625}, {"start": 629.53, "end": 629.93, "word": " spot", "probability": 0.4033203125}], "temperature": 1.0}, {"id": 28, "seek": 64704, "start": 631.46, "end": 647.04, "text": "قطور هاتنين ملي These spots are called player circles بنسمي كل بقعة من هذه البقعة دوائر التغبيش أو بقعة التغبيش لإن هم مش واضحين تماما، يعني في كمية من عدم الوضوح بالنسبة لهم", "tokens": [47432, 13063, 8032, 9307, 1863, 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{"start": 633.84, "end": 634.18, "word": " are", "probability": 0.95947265625}, {"start": 634.18, "end": 634.58, "word": " called", "probability": 0.91357421875}, {"start": 634.58, "end": 635.04, "word": " player", "probability": 0.77099609375}, {"start": 635.04, "end": 635.68, "word": " circles", "probability": 0.833984375}, {"start": 635.68, "end": 636.54, "word": " بنسمي", "probability": 0.6124674479166666}, {"start": 636.54, "end": 636.76, "word": " كل", "probability": 0.83251953125}, {"start": 636.76, "end": 637.26, "word": " بقعة", "probability": 0.93359375}, {"start": 637.26, "end": 637.6, "word": " من", "probability": 0.99169921875}, {"start": 637.6, "end": 637.84, "word": " هذه", "probability": 0.70654296875}, {"start": 637.84, "end": 638.46, "word": " البقعة", "probability": 0.90087890625}, {"start": 638.46, "end": 639.2, "word": " دوائر", "probability": 0.9798583984375}, {"start": 639.2, "end": 639.9, "word": " التغبيش", "probability": 0.8870849609375}, {"start": 639.9, 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this is the second part, this is the third part, and this is the fourth part. I have four narrow parts, and these even interfere with each other, these five or four and so on. And here too, from the side, it interferes with each other. So, pictures of points, when they are single parts and have no space,", "tokens": [47, 11814, 11, 341, 307, 264, 700, 644, 11, 341, 307, 264, 1150, 644, 11, 341, 307, 264, 2636, 644, 11, 293, 341, 307, 264, 6409, 644, 13, 286, 362, 1451, 9432, 3166, 11, 293, 613, 754, 23946, 365, 1184, 661, 11, 613, 1732, 420, 1451, 293, 370, 322, 13, 400, 510, 886, 11, 490, 264, 1252, 11, 309, 25799, 279, 365, 1184, 661, 13, 407, 11, 5242, 295, 2793, 11, 562, 436, 366, 2167, 3166, 293, 362, 572, 1901, 11], "avg_logprob": -0.4706554979812808, "compression_ratio": 1.8666666666666667, "no_speech_prob": 8.469820022583008e-05, "words": [{"start": 1450.86, "end": 1451.3, "word": "Parts,", "probability": 0.171142578125}, {"start": 1451.6, "end": 1451.82, "word": " this", "probability": 0.74853515625}, {"start": 1451.82, "end": 1451.86, "word": " is", "probability": 0.900390625}, {"start": 1451.86, "end": 1451.98, "word": " the", "probability": 0.8525390625}, {"start": 1451.98, "end": 1452.5, "word": " 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+00:00:03,690 --> 00:00:06,750 +Bismillah ar-Rahman ar-Rahim. We have an example + +2 +00:00:06,750 --> 00:00:12,230 +that says calculate the optical path length. The + +3 +00:00:12,230 --> 00:00:15,590 +light started from point A, walked in the air two + +4 +00:00:15,590 --> 00:00:17,850 +and a half meters, then in the water twenty + +5 +00:00:17,850 --> 00:00:20,570 +centimeters, then in the glass thirty centimeters, + +6 +00:00:21,030 --> 00:00:23,990 +then in the air again one and a half meters, until + +7 +00:00:23,990 --> 00:00:27,410 +it reached point B, which is the end of the + +8 +00:00:27,410 --> 00:00:30,230 +journey. We need to calculate the optical path + +9 +00:00:30,230 --> 00:00:34,430 +length. We say that the actual distance that the + +10 +00:00:34,430 --> 00:00:37,330 +light moves is 2.5 meters, plus 20 centimeters, + +11 +00:00:37,490 --> 00:00:39,670 +which is 2 out of 10 meters, plus 30 centimeters, + +12 +00:00:39,830 --> 00:00:43,470 +which is 3 out of 10 meters, plus 1.5 meters in + +13 +00:00:43,470 --> 00:00:46,710 +the air. In total, all together will be 4.5 + +14 +00:00:46,710 --> 00:00:50,630 +meters. The optical path length is equal to + +15 +00:00:50,630 --> 00:00:56,800 +multiply each distance by the refractive index two + +16 +00:00:56,800 --> 00:01:00,540 +and a half meter multiplied by one two and a half + +17 +00:01:00,540 --> 00:01:04,380 +meter + +18 +00:01:04,380 --> 00:01:09,460 +multiplied by one plus two out of ten all in + +19 +00:01:09,460 --> 00:01:12,560 +meters multiplied by one and three out of ten this + +20 +00:01:12,560 --> 00:01:18,760 +is refractive index plus three out of ten meters + +21 +00:01:18,760 --> 00:01:22,580 +multiplied by one and a half plus + +22 +00:01:24,440 --> 00:01:28,240 +one and a half meter in the air times one which is + +23 +00:01:28,240 --> 00:01:31,260 +the refractive index for the air two and a half + +24 +00:01:31,260 --> 00:01:35,840 +meters in one equals two and a half meters plus + +25 +00:01:35,840 --> 00:01:40,280 +two out of ten meters in one and three out of ten + +26 +00:01:40,280 --> 00:01:47,340 +equals twenty six out of one hundred meters three + +27 +00:01:47,340 --> 00:01:53,730 +out of ten meters in one and Forty-five hundred + +28 +00:01:53,730 --> 00:02:00,910 +meters Forty-five hundred meters plus one and a + +29 +00:02:00,910 --> 00:02:03,510 +half meters per one remains one and a half meters + +30 +00:02:03,510 --> 00:02:08,190 +We add these distances, we say I have two and a + +31 +00:02:08,190 --> 00:02:15,590 +half meters plus twenty-six hundred meters plus + +32 +00:02:15,590 --> 00:02:18,430 +forty-five hundred meters + +33 +00:02:23,450 --> 00:02:28,230 +plus one and a half meters one and a half meters + +34 +00:02:28,230 --> 00:02:36,090 +their total is six and five is eleven six and two + +35 +00:02:36,090 --> 00:02:41,470 +is eight and nine is seventeen one and two is + +36 +00:02:41,470 --> 00:02:46,990 +three and one is four so the answer is four and + +37 +00:02:46,990 --> 00:02:51,990 +seventy one hundred meters what does optical path + +38 +00:02:51,990 --> 00:02:58,150 +length mean? 4.71 meters. The light actually moved + +39 +00:02:58,150 --> 00:03:06,150 +a distance of 4.5 meters. But if you leaveThe ball + +40 +00:03:06,150 --> 00:03:10,290 +would fly in the air at the same time that it + +41 +00:03:10,290 --> 00:03:13,810 +crossed the distance from A to B, okay? It crossed + +42 +00:03:13,810 --> 00:03:17,030 +4.5 meters, if it was all air, it would have been + +43 +00:03:17,030 --> 00:03:20,530 +able to cross 4.71 meters from 100 meters, which + +44 +00:03:20,530 --> 00:03:24,470 +is 4.71 meters, and thus the matter would have + +45 +00:03:24,470 --> 00:03:26,210 +been solved, may Allah give you health and peace + +46 +00:03:26,210 --> 00:03:28,250 +be upon you and His mercy and blessings + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..d869a002f510442a128c4036561521b425ef4172 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_postprocess.srt @@ -0,0 +1,1216 @@ +1 +00:00:01,920 --> 00:00:07,480 +بسم الله الرحمن الرحيم، التمرين اليوم بس عشان يوضح + +2 +00:00:07,480 --> 00:00:12,940 +الفرق بين ال transfers magnification و ال angular + +3 +00:00:12,940 --> 00:00:15,900 +magnification لنفس ال optical system، كيف ال + +4 +00:00:15,900 --> 00:00:20,140 +transfers magnification ممكن يكون تصغير، بينما ال + +5 +00:00:20,140 --> 00:00:23,720 +angular magnification ممكن يكون تكبير، عندنا مثال، + +6 +00:00:23,720 --> 00:00:28,140 +بدنا نحله و نشوف كيف نفهم الفرق بين ال transfers + +7 +00:00:28,140 --> 00:00:32,330 +magnification و ال angular magnificationبناء + +8 +00:00:32,330 --> 00:00:36,550 +ارتفاعه مائة متر, مائة متر يعني تقريبا تلاتة و + +9 +00:00:36,550 --> 00:00:41,330 +تلاتين طابق، كل طابق ارتفاعه تقريبا تلاتة متر، اذا + +10 +00:00:41,330 --> 00:00:46,210 +بناء ارتفاعه عن الأرض مائة متر، في عندي عدسة بدنا + +11 +00:00:46,210 --> 00:00:49,930 +نتصور عشان الحسابات تطلع عندي يعني مافيش فيها كسور + +12 +00:00:49,930 --> 00:00:57,470 +كتير، العدسة قوتها plus مائة و واحد من مية ديوبتر + +13 +00:00:58,100 --> 00:01:00,800 +It is usually possible to find plus 100, but 101 + +14 +00:01:00,800 --> 00:01:02,840 +out of 100 is hard to find, but we can imagine + +15 +00:01:02,840 --> 00:01:05,320 +that it exists. In order to ensure that the + +16 +00:01:05,320 --> 00:01:07,080 +calculations do not have shortcomings and do not + +17 +00:01:07,080 --> 00:01:10,340 +have many problems. We say we want to calculate + +18 +00:01:10,340 --> 00:01:12,960 +the transphase magnification of this optical + +19 +00:01:12,960 --> 00:01:17,360 +system, of the image that is formed. We say U is + +20 +00:01:17,360 --> 00:01:23,360 +equal to negative N over O and equals + +21 +00:01:28,270 --> 00:01:33,730 +Minus 1 over 100 meters is the object distance, + +22 +00:01:33,830 --> 00:01:48,650 +which is 100 meters Minus + +23 +00:01:48,650 --> 00:01:53,930 +1 over 100 meters is + +24 +00:01:53,930 --> 00:01:57,550 +equal + +25 +00:01:57,550 --> 00:02:05,590 +to minus 1 out of 100 diopters at the front + +26 +00:02:05,590 --> 00:02:08,110 +surface of the lens, we write minus 1 out of 100 + +27 +00:02:08,110 --> 00:02:17,110 +diopters minus 1 out of 100 diopters at the front + +28 +00:02:17,110 --> 00:02:22,530 +surface of the lens, we write minus + +29 +00:02:22,530 --> 00:02:26,570 +1 out of 100 diopters at the front surface of the + +30 +00:02:26,570 --> 00:02:28,810 +lens, we write minus 1 out of 100 dioptersعندي + +31 +00:02:28,810 --> 00:02:32,570 +العدسة قوتها plus واحد .. مية .. مية .. مية + +32 +00:02:32,570 --> 00:02:40,350 +diopter و واحد من مية diopter فال V إيش هتكون؟ + +33 +00:02:40,350 --> 00:02:44,710 +ال + +34 +00:02:44,710 --> 00:02:48,530 +V هتكون U + +35 +00:02:48,530 --> 00:02:52,850 +زائد P تساوي V + +36 +00:02:56,430 --> 00:03:02,410 +minus one of one hundred diopters plus one hundred + +37 +00:03:02,410 --> 00:03:09,690 +point one of one hundred diopters equals V so V + +38 +00:03:09,690 --> 00:03:15,950 +equals plus one hundred diopters on the back of + +39 +00:03:15,950 --> 00:03:22,590 +the lens I write V equals V equals plus one + +40 +00:03:22,590 --> 00:03:27,770 +hundred diopters As long as the light comes out + +41 +00:03:27,770 --> 00:03:30,690 +with a plurality plus, meaning it is collected, + +42 +00:03:30,830 --> 00:03:33,210 +meaning it will form a picture I want to know the + +43 +00:03:33,210 --> 00:03:38,090 +location of the picture I to equal unconditional + +44 +00:03:38,090 --> 00:03:42,990 +on V and + +45 +00:03:42,990 --> 00:03:50,050 +equals one over plus one hundred diopters and + +46 +00:03:50,050 --> 00:03:58,550 +equals plus one of one hundredmeter and it is + +47 +00:03:58,550 --> 00:04:03,470 +equal to a plus one centimeter which means that + +48 +00:04:03,470 --> 00:04:05,610 +the diameter of the lens is one centimeter this + +49 +00:04:05,610 --> 00:04:08,650 +distance is one centimeter okay let's go to + +50 +00:04:08,650 --> 00:04:11,910 +transference magnification transference + +51 +00:04:11,910 --> 00:04:15,530 +magnification is equal to either image distance + +52 +00:04:15,530 --> 00:04:21,270 +over object distance or u over v if we say image + +53 +00:04:21,270 --> 00:04:32,380 +distance image distanceon object distance which is + +54 +00:04:32,380 --> 00:04:35,740 +equal to image distance one centimeter which is + +55 +00:04:35,740 --> 00:04:42,440 +one out of one hundred meters plus one out of one + +56 +00:04:42,440 --> 00:04:46,460 +hundred meters on + +57 +00:04:46,460 --> 00:04:56,450 +the object distance minus one hundred metersويساوي + +58 +00:04:56,450 --> 00:05:00,930 +X الان + +59 +00:05:00,930 --> 00:05:06,750 +plus على minus minus اذا الصورة مجلوبة الصورة + +60 +00:05:06,750 --> 00:05:12,830 +مجلوبة الان + +61 +00:05:12,830 --> 00:05:16,830 +واحد من مية على مية يعني واحد من عشر تلافين شوف ال + +62 +00:05:16,830 --> 00:05:17,370 +calculator + +63 +00:05:24,500 --> 00:05:29,500 +واحد من مية تقسيم + +64 +00:05:29,500 --> 00:05:34,000 +مية يساوي + +65 +00:05:34,000 --> 00:05:41,780 +واحد من عشر تلف، اذا واحد + +66 +00:05:41,780 --> 00:05:46,320 +من عشرة ألف، اذا ال transfers magnification هي + +67 +00:05:49,500 --> 00:05:52,720 +What does 1 out of 10,000 mean? The picture is + +68 +00:05:52,720 --> 00:06:03,560 +upside down because the sign is minus X + +69 +00:06:03,560 --> 00:06:08,940 +minus 1 out of 10,000 1 out of 10,000 of the + +70 +00:06:08,940 --> 00:06:11,740 +height of the object The height of the object is + +71 +00:06:11,740 --> 00:06:12,280 +100 meters + +72 +00:06:19,280 --> 00:06:22,180 +100 meters when converted to centimeters is 10,000 + +73 +00:06:22,180 --> 00:06:27,040 +centimeters If the object is 10,000 times the + +74 +00:06:27,040 --> 00:06:28,940 +image, then the height of the image is 1 + +75 +00:06:28,940 --> 00:06:35,440 +centimeter, which is equal to 1 centimeter So the + +76 +00:06:35,440 --> 00:06:38,600 +image is very, very small compared to the object + +77 +00:06:38,600 --> 00:06:42,380 +The image is very small compared to the object The + +78 +00:06:42,380 --> 00:06:45,760 +height of the object is 10,000 centimeters, and + +79 +00:06:45,760 --> 00:06:48,940 +the height of the image is 1 centimeterThis is + +80 +00:06:48,940 --> 00:06:51,640 +what transfers magnification. So this optical + +81 +00:06:51,640 --> 00:06:57,920 +system gave me a very small image. Can this image + +82 +00:06:57,920 --> 00:07:03,200 +appear bigger than the object itself? This is + +83 +00:07:03,200 --> 00:07:06,520 +true. This is angular magnification. How much will + +84 +00:07:06,520 --> 00:07:08,940 +this image make a corner with my eye? Let's see as + +85 +00:07:08,940 --> 00:07:14,420 +follows. This is my eye in this situation. It + +86 +00:07:14,420 --> 00:07:14,760 +moves away. + +87 +00:07:17,640 --> 00:07:21,480 +My eye is one meter, one hundred centimeters away + +88 +00:07:21,480 --> 00:07:24,700 +from the image. One looks at the image. When you + +89 +00:07:24,700 --> 00:07:27,220 +look at the optical system, you look at the image + +90 +00:07:27,220 --> 00:07:29,740 +that is formed by the optical system. If you look + +91 +00:07:29,740 --> 00:07:33,020 +at the object directly, it means that you don't + +92 +00:07:33,020 --> 00:07:35,360 +need the optical system. The optical system to + +93 +00:07:35,360 --> 00:07:38,920 +make me a picture to look at it. Okay, if my eye + +94 +00:07:38,920 --> 00:07:42,600 +is one hundred centimeters awayThe height of the + +95 +00:07:42,600 --> 00:07:45,240 +image is one centimeter. How much does the image + +96 +00:07:45,240 --> 00:07:47,980 +make a corner with my eye? This is the angle that + +97 +00:07:47,980 --> 00:07:49,240 +the image makes with my eye. + +98 +00:07:52,900 --> 00:07:55,040 +This is the angle that the image makes with my eye + +99 +00:07:55,040 --> 00:07:57,060 +that I point to. Which is limited between the + +100 +00:07:57,060 --> 00:08:01,800 +optical axis and this line. In return, one + +101 +00:08:01,800 --> 00:08:03,460 +centimeter and the neighbor is one hundred + +102 +00:08:03,460 --> 00:08:07,920 +centimeters. So under the angle.Under the corner 1 + +103 +00:08:07,920 --> 00:08:11,460 +over 100 means 1 out of 100 Ok, how much is the + +104 +00:08:11,460 --> 00:08:15,820 +corner itself? Let's see Shift-10 We need another + +105 +00:08:15,820 --> 00:08:24,620 +calculator It's + +106 +00:08:24,620 --> 00:08:32,220 +still in the calculator, it helps more We + +107 +00:08:32,220 --> 00:08:34,660 +need Shift-10 1 out of 100 + +108 +00:08:45,200 --> 00:08:49,540 +Takriban noos degree, takriban noos degree, تعمل + +109 +00:08:49,540 --> 00:08:52,780 +معين أو سبع .. سبعة و خمسين من مية degree طيب + +110 +00:08:52,780 --> 00:08:59,220 +ماشي، الآن السؤال التاني، لو أنا جربت عيني لنص + +111 +00:08:59,220 --> 00:09:04,680 +متر، يعني صرت أطلع على الصورة من بعد نص متر، مش + +112 +00:09:04,680 --> 00:09:07,020 +خمسين .. مش ميت صنطي من خمسين صنطي + +113 +00:09:12,980 --> 00:09:17,080 +يعني هذه المسافة أنا بتطلع دائما على الصورة ماليش + +114 +00:09:17,080 --> 00:09:21,020 +علاقة هي جديش بالنسبة لل object ماعلي علاقة هي + +115 +00:09:21,020 --> 00:09:33,400 +جديش بالنسبة لل object خمسين + +116 +00:09:33,400 --> 00:09:34,340 +صنطة + +117 +00:09:42,070 --> 00:09:45,250 +الزاوية كبرت شوي، كيف نعرف الزاوية؟ الزاوية في + +118 +00:09:45,250 --> 00:09:47,790 +الأول كانت نص degree أو سبعة و خمسين من مية + +119 +00:09:47,790 --> 00:09:52,850 +degree، الآن أنا جربت عيني، فجداش صار هذه الصورة + +120 +00:09:52,850 --> 00:09:56,490 +تعمل معاني زاوية، بنشوف كيف، واحد على خمسين يعني + +121 +00:09:56,490 --> 00:10:01,810 +اتنين من مية، بنقول shift + +122 +00:10:01,810 --> 00:10:05,210 +ten اتنين من مية جداش يعني + +123 +00:10:11,410 --> 00:10:17,870 +it became 1.1 degrees with my eyes ok, I tried + +124 +00:10:17,870 --> 00:10:23,250 +more with my eyes I left it at a distance of a + +125 +00:10:23,250 --> 00:10:25,670 +quarter of a meter at a distance of a quarter of a + +126 +00:10:25,670 --> 00:10:30,270 +meter let's just move this away a little instead + +127 +00:10:30,270 --> 00:10:33,010 +of 50 centimeters I started to look at a distance + +128 +00:10:33,010 --> 00:10:41,320 +of 25 centimeters 25 centimetersانا عينى بعيدة عن + +129 +00:10:41,320 --> 00:10:47,640 +الصورة + +130 +00:10:47,640 --> 00:10:51,420 +اللى انا بتطلع عليها فكبرت الزاوية جربنا شوية أول + +131 +00:10:51,420 --> 00:10:55,980 +إشي خلّينا نحرق هذا شوية ل 25 cm أصبحت الزاوية + +132 +00:10:55,980 --> 00:10:59,900 +جاعدة بتكبر جربت؟ + +133 +00:11:01,210 --> 00:11:07,730 +Okay, 25 cm is equivalent to how much? 25 cm is + +134 +00:11:07,730 --> 00:11:12,510 +equivalent to the square of this angle. The height + +135 +00:11:12,510 --> 00:11:15,730 +of the picture is 1 cm and the square is 25 cm. 1 + +136 +00:11:15,730 --> 00:11:23,650 +over 25 means 4 out of 100. So, shift down 4 + +137 +00:11:23,650 --> 00:11:28,550 +out of 100 and + +138 +00:11:28,550 --> 00:11:34,250 +equal The angle doubled from 1.1 degrees to 2.2 + +139 +00:11:34,250 --> 00:11:40,970 +degrees Ok, I want to keep my eye 10 cm away from + +140 +00:11:40,970 --> 00:11:43,990 +the + +141 +00:11:43,990 --> 00:11:49,430 +image I'm looking at 10 + +142 +00:11:49,430 --> 00:11:55,610 +cm away And + +143 +00:11:55,610 --> 00:11:59,290 +we try here The angle became bigger + +144 +00:12:03,250 --> 00:12:10,610 +Picture, okay, then my eye is 10 cm away from the + +145 +00:12:10,610 --> 00:12:14,670 +picture, the angle is 1 cm, which is the height of + +146 +00:12:14,670 --> 00:12:18,410 +the picture by 10 cm, 1 by 10 is 1 out of 10, + +147 +00:12:18,550 --> 00:12:21,690 +which is 10% Shift down to 10% + +148 +00:12:31,690 --> 00:12:38,710 +تساوي لأ هدى واحد من مية أسف مرة تانية بنقول shift + +149 +00:12:38,710 --> 00:12:42,670 +tan العشرة + +150 +00:12:42,670 --> 00:12:51,950 +في المية اللى واحد من عشرة أسف برضه shift + +151 +00:12:51,950 --> 00:12:55,790 +tan واحد + +152 +00:12:55,790 --> 00:13:02,090 +من عشرة يساوي أصبحتBadal mahi 2 و 2 من 10 درجه، 5 + +153 +00:13:02,090 --> 00:13:07,430 +و 7 من 10 درجه طيب، لو أنا حاطط .. مجرب عيني من + +154 +00:13:07,430 --> 00:13:13,290 +العدسة كتير أو من الصورة كتير Badal + +155 +00:13:13,290 --> 00:13:20,550 +10 سانتي، واحد سانتي، لأ إيه كان واحد متر؟ إيه كان + +156 +00:13:20,550 --> 00:13:28,940 +واحد سانت؟ يعني أنا بعيد عن الصورةمقدار واحد صنطي، + +157 +00:13:28,940 --> 00:13:33,520 +مقدار واحد صنطي، عيني جربات، بتطلع الصورة من جريب + +158 +00:13:33,520 --> 00:13:37,560 +كتير، انسان بتطلع صورة ال object، واحنا بنطلع من + +159 +00:13:37,560 --> 00:13:40,340 +العدسة، احنا مستحيل نشوف ال object حقيقة، احنا + +160 +00:13:40,340 --> 00:13:44,980 +بنطلع على صورة، تمام، الان، انا بعيد عن الصورة + +161 +00:13:44,980 --> 00:13:51,360 +واحد صنطي، اذا نظل الزاوية واحد على واحد، واحد على + +162 +00:13:51,360 --> 00:13:59,550 +واحدشوف ال calculator، بدنا نجيب الزاوية، بنقول + +163 +00:13:59,550 --> 00:14:05,810 +مقلوب الظل بطلّع ليه الزاوية واحد على واحد يعني + +164 +00:14:05,810 --> 00:14:14,790 +واحد، ظل الواحد يساوي، + +165 +00:14:14,790 --> 00:14:21,250 +يساوي خمسة واربعين درجة، خمسة واربعين درجة، طيب + +166 +00:14:21,670 --> 00:14:23,410 +until now we didn't understand the relation + +167 +00:14:23,410 --> 00:14:27,050 +between transference magnification and angular + +168 +00:14:27,050 --> 00:14:33,950 +magnification now we can say that this body or + +169 +00:14:33,950 --> 00:14:39,730 +this picture makes a 45 degree angle with my eye + +170 +00:14:39,730 --> 00:14:45,430 +my eye away from it is 1 cm my eye away from the + +171 +00:14:45,430 --> 00:14:51,430 +object is 100 meters and 1 cmمائة متر و واحد صنطي + +172 +00:14:51,430 --> 00:14:58,370 +مائة + +173 +00:14:58,370 --> 00:15:04,150 +متر و واحد صنطي و هذا ارتفاعه مائة متر و هذا + +174 +00:15:04,150 --> 00:15:09,310 +ارتفاعه مائة متر يا ترا يا ترا جديش ال object + +175 +00:15:09,310 --> 00:15:15,200 +الحقيقي بيعمل زاوية مع عينيone hundred meters by + +176 +00:15:15,200 --> 00:15:18,060 +one hundred meters and one of one hundred meters + +177 +00:15:18,060 --> 00:15:23,700 +that is to say, how much is the angle, we say two + +178 +00:15:23,700 --> 00:15:30,460 +minus one hundred divided + +179 +00:15:30,460 --> 00:15:39,360 +by one hundred point one of one hundred and it is + +180 +00:15:39,360 --> 00:15:44,340 +equal Forty-four and ninety-nine out of one + +181 +00:15:44,340 --> 00:15:49,960 +hundred degrees Which means that the image which + +182 +00:15:49,960 --> 00:15:52,980 +is one centimeter high has become larger Because + +183 +00:15:52,980 --> 00:15:58,040 +it makes a 45 degree angle with my eye 45 degrees + +184 +00:15:58,040 --> 00:16:01,480 +Again, we clarify the example in a larger and + +185 +00:16:01,480 --> 00:16:07,940 +larger way We return the lens to its place Now my + +186 +00:16:07,940 --> 00:16:08,780 +eye starts to move away + +187 +00:16:15,370 --> 00:16:23,150 +نص صنطي نص صنطي بدل صنطي بتصير على بعد نص صنطي من + +188 +00:16:23,150 --> 00:16:33,830 +الصورة طيب أصبح الصورة ارتفاعها صنطي البعد + +189 +00:16:33,830 --> 00:16:38,580 +بعد عيني عنها نص صنطيand this distance is logical, + +190 +00:16:38,780 --> 00:16:41,720 +when I put on my eye a telescope or telescope, + +191 +00:16:41,900 --> 00:16:44,840 +this distance is usually far, the eye piece is + +192 +00:16:44,840 --> 00:16:48,080 +about half a centimeter away, or almost, there is + +193 +00:16:48,080 --> 00:16:53,560 +almost a touch, okay, so the picture will work + +194 +00:16:53,560 --> 00:16:57,020 +with my eye angle how much, let's see, we say + +195 +00:16:57,020 --> 00:17:02,000 +shift 2, 1, division by half + +196 +00:17:08,720 --> 00:17:15,160 +و يساوي تلاتة و ستين degree تلاتة و ستين degree + +197 +00:17:15,160 --> 00:17:20,480 +طيب، نرجع، نقول كالقاتل لما عيني بتكون بعيدة عن + +198 +00:17:20,480 --> 00:17:24,060 +الصورة، هذه الصورة بتعمل تلاتة و ستين degree مع + +199 +00:17:24,060 --> 00:17:33,780 +عيني تلاتة و ستين degree مع عيني، طيب تلاتة + +200 +00:17:33,780 --> 00:17:40,050 +و ستين degree مع عيني، طيب، الآنبنشوف في حقيقة + +201 +00:17:40,050 --> 00:17:47,330 +الأمر شيلنا العدسة الصورة بتعمل مع عيني 63 degree + +202 +00:17:47,330 --> 00:17:52,470 +طيب ال object لو شيلنا العدسة جداش بيعمل مع عيني + +203 +00:17:52,470 --> 00:17:58,830 +حقيقة هو على بعد 100 متر و نص سانتي 100 متر و نص + +204 +00:17:58,830 --> 00:18:00,590 +سانتي يعني + +205 +00:18:05,630 --> 00:18:07,710 +and its height is one hundred meters we say the + +206 +00:18:07,710 --> 00:18:12,470 +equivalent to the adjacent shadow of the corner + +207 +00:18:12,470 --> 00:18:15,790 +one hundred meters and five thousand of the meter + +208 +00:18:15,790 --> 00:18:19,550 +one centimeter is one hundred meters half a + +209 +00:18:19,550 --> 00:18:21,910 +centimeter is five thousand of the meter we will + +210 +00:18:21,910 --> 00:18:26,510 +calculate it and say as follows shift ten we get + +211 +00:18:26,510 --> 00:18:32,150 +the corner one + +212 +00:18:32,150 --> 00:18:41,980 +or one hundred metersDivide by one hundred and + +213 +00:18:41,980 --> 00:18:46,860 +five thousand meters + +214 +00:18:46,860 --> 00:18:51,580 +which is equal to forty-four and ninety-nine + +215 +00:18:51,580 --> 00:18:54,060 +degrees which is equal to forty-five degrees So + +216 +00:18:54,060 --> 00:18:58,950 +the body works with my eyesالجسم نفسه بدون عدسة + +217 +00:18:58,950 --> 00:19:02,930 +اللي هو على بعد ميت متر و نص سانتي بعمل معيني + +218 +00:19:02,930 --> 00:19:07,870 +زاوية مقدارها خمسة و أربعين ديجري بينما صورته .. + +219 +00:19:07,870 --> 00:19:13,730 +صورتهShe works with my eye at an angle of 63 + +220 +00:19:13,730 --> 00:19:17,130 +degrees Who will look bigger? The person who looks + +221 +00:19:17,130 --> 00:19:19,910 +bigger in the picture His picture will look bigger + +222 +00:19:19,910 --> 00:19:23,390 +even though it is actually small It is actually + +223 +00:19:23,390 --> 00:19:26,190 +small But why did the eye look bigger than the + +224 +00:19:26,190 --> 00:19:29,690 +real body? Because it is much closer to the eye + +225 +00:19:29,690 --> 00:19:33,310 +Much closer to the eye Now if we get a piece of + +226 +00:19:33,310 --> 00:19:44,530 +metal Go to googleWe say coin This + +227 +00:19:44,530 --> 00:19:50,490 +is a coin No matter how big the metal piece is, + +228 +00:19:51,410 --> 00:19:55,790 +let's say its diameter is two centimeters For + +229 +00:19:55,790 --> 00:19:59,670 +example, its diameter is two centimeters The + +230 +00:19:59,670 --> 00:20:02,510 +diameter of the sun, half of the diameter of the + +231 +00:20:02,510 --> 00:20:06,580 +sun is eight hundred thousand kilometershalf the + +232 +00:20:06,580 --> 00:20:08,200 +diameter, the diameter is one million and six + +233 +00:20:08,200 --> 00:20:11,980 +hundred thousand kilometers but with this small + +234 +00:20:11,980 --> 00:20:17,180 +piece of metal I can cover the whole sun how? I + +235 +00:20:17,180 --> 00:20:19,560 +try it with my eyes and I keep trying it with my + +236 +00:20:19,560 --> 00:20:23,120 +eyes and I look at the sun until it makes with my + +237 +00:20:23,120 --> 00:20:26,580 +eyes an angle bigger than the angle that the sun + +238 +00:20:26,580 --> 00:20:28,160 +makes sometimes this is called angular + +239 +00:20:28,160 --> 00:20:31,320 +magnification it has nothing to do with what does + +240 +00:20:31,320 --> 00:20:34,600 +it meanIn the transverse magnification, the image + +241 +00:20:34,600 --> 00:20:37,220 +is very small, correct? If this candle is 100 + +242 +00:20:37,220 --> 00:20:41,160 +meters long, or a burning fire, or a narrow body, + +243 +00:20:41,300 --> 00:20:46,200 +100 meters long, and we shoot it on a screen, it + +244 +00:20:46,200 --> 00:20:48,940 +will be in the conditions we talked about, the + +245 +00:20:48,940 --> 00:20:53,150 +power of the lens and the ...It will be a real + +246 +00:20:53,150 --> 00:20:56,710 +picture, upside down, one centimeter high only But + +247 +00:20:56,710 --> 00:20:59,470 +for the eye of the observer, if the eye is very + +248 +00:20:59,470 --> 00:21:02,290 +close to it, it will appear larger than the body + +249 +00:21:02,290 --> 00:21:04,850 +itself which is one hundred meters high So this is + +250 +00:21:04,850 --> 00:21:14,480 +the difference. Why do I have here?x-1-1-1-1-1-1-1 + +251 +00:21:14,480 --> 00:21:24,120 +-1-1-1-1 + +252 +00:21:24,150 --> 00:21:26,350 +In the same way, because I'm looking at it from + +253 +00:21:26,350 --> 00:21:28,230 +close, it means it's obvious or it's giving me + +254 +00:21:28,230 --> 00:21:30,590 +angular magnification, which means angular + +255 +00:21:30,590 --> 00:21:32,790 +magnification, which means an angle with the eye, + +256 +00:21:33,070 --> 00:21:36,950 +which means big, bigger than the body itself, like + +257 +00:21:36,950 --> 00:21:41,150 +the calculator, according to me here, when we are + +258 +00:21:41,150 --> 00:21:44,490 +half a centimeter away from the image, it makes 63 + +259 +00:21:44,490 --> 00:21:47,490 +degrees, while the object itself, which is 100 + +260 +00:21:47,490 --> 00:21:51,330 +meters away, makes about 50 degrees, so what makes + +261 +00:21:51,330 --> 00:21:57,460 +the angle bigger,هدا لتوضيح الفرق بين ال angular + +262 +00:21:57,460 --> 00:22:01,200 +magnification و ليه transfers magnification و ليش + +263 +00:22:01,200 --> 00:22:05,460 +مش لازم احنا نربط العلاقة انها ضروري انها تكون + +264 +00:22:05,460 --> 00:22:09,950 +ترضية ان هذا كتر هذا كتر مالاش علاقةThis talks + +265 +00:22:09,950 --> 00:22:12,510 +about a picture that I take on screen and I get + +266 +00:22:12,510 --> 00:22:15,470 +its height in centimeters or in the scale, while + +267 +00:22:15,470 --> 00:22:19,290 +the angular magnification talks about how much + +268 +00:22:19,290 --> 00:22:22,190 +this picture makes an angle with my eye in another + +269 +00:22:22,190 --> 00:22:24,310 +sense, the more it makes a bigger angle, it will + +270 +00:22:24,310 --> 00:22:26,910 +appear bigger to me even though it is small Like + +271 +00:22:26,910 --> 00:22:30,650 +the piece of metal or the critical piece appeared + +272 +00:22:30,650 --> 00:22:36,910 +bigger than the sun's axis because it + +273 +00:22:36,910 --> 00:22:39,540 +is closer to my eyeAlso, my example can be much + +274 +00:22:39,540 --> 00:22:46,380 +more clear in this case If we say a human drawing + +275 +00:22:46,380 --> 00:22:56,300 +For + +276 +00:22:56,300 --> 00:23:00,220 +example, let's say as follows I have a person, for + +277 +00:23:00,220 --> 00:23:03,840 +example This + +278 +00:23:03,840 --> 00:23:05,980 +is a copy of the picture and we come here to a new + +279 +00:23:05,980 --> 00:23:06,260 +slide + +280 +00:23:13,550 --> 00:23:20,510 +ونقول هاي عملنا له لسق هذا الشخص طوله اتنين متر + +281 +00:23:20,510 --> 00:23:26,350 +طوله اتنين متر بدنا نفرض بدنا ننسخه و نتبر فيه شخص + +282 +00:23:26,350 --> 00:23:33,570 +اخر بس طوله متر + +283 +00:23:33,570 --> 00:23:40,550 +طوله متر الان بدنا نجيب العين هاي ننسخها + +284 +00:23:42,440 --> 00:23:57,420 +To make it clear, we say as follows Who + +285 +00:23:57,420 --> 00:23:59,420 +is taller? Actually, there is a fact of the + +286 +00:23:59,420 --> 00:24:01,540 +matter, this is two meters tall, and this is one + +287 +00:24:01,540 --> 00:24:03,160 +meter tall, but let's see how + +288 +00:24:08,330 --> 00:24:11,730 +التانى اللى موقفين على مستوى معين و العين على نفس + +289 +00:24:11,730 --> 00:24:20,350 +المستوى هذا بيعمل زاوية مع العين أكبر + +290 +00:24:20,350 --> 00:24:22,870 +بكثير من الزاوية اللى بيعملها اللى بعيد + +291 +00:24:27,140 --> 00:24:30,060 +means this can be for example 50 degrees and this + +292 +00:24:30,060 --> 00:24:33,340 +can be 30 degrees this will look bigger to our + +293 +00:24:33,340 --> 00:24:37,160 +eyes because it is closer to an angle greater than + +294 +00:24:37,160 --> 00:24:39,200 +an angle this is what is meant by angular + +295 +00:24:39,200 --> 00:24:42,660 +magnification play with transfer magnification how + +296 +00:24:42,660 --> 00:24:47,400 +much transfer ... this may be smaller in realityبس + +297 +00:24:47,400 --> 00:24:50,540 +بالنسبة لعيني طالما هو أقرب هيعمل زاوية أكبر + +298 +00:24:50,540 --> 00:24:55,460 +فبالتالي هيبين أكبر، هيبين هذا أطول بكتير من هذا، + +299 +00:24:55,460 --> 00:24:59,360 +عشان هيك همشوف الرجل اللي جانبنا كبير الحجم، بينما + +300 +00:24:59,360 --> 00:25:03,440 +الطائرة اللي أضعاف أضعاف أضعاف أضعاف حجمه، اللي + +301 +00:25:03,440 --> 00:25:06,660 +بتطير في السماء على بعد شاهق، بتبين كأنها مثل علبة + +302 +00:25:06,660 --> 00:25:11,440 +الكبريت أو ربما أسرر، أو ربما أسرر، و هيك بننهي + +303 +00:25:11,440 --> 00:25:14,460 +الموضوع، يعطيكم العافية والسلام عليكم ورحمة الله + +304 +00:25:14,460 --> 00:25:15,400 +وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..a4a62c6cd626ea12d147e2a1681be8742c526635 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/f1iSSHrXhl0_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3046, "start": 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In order to ensure that the calculations do not have shortcomings and do not have many problems. We say we want to calculate the transphase magnification of this optical system, of the image that is formed. 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{"start": 109.33, "end": 109.67, "word": " 100", "probability": 0.91455078125}, {"start": 109.67, "end": 110.21, "word": " meters", "probability": 0.90576171875}, {"start": 110.21, "end": 113.93, "word": " is", "probability": 0.471923828125}, {"start": 113.93, "end": 117.55, "word": " equal", "probability": 0.7119140625}, {"start": 117.55, "end": 118.03, "word": " to", "probability": 0.95166015625}], "temperature": 1.0}, {"id": 5, "seek": 14669, "start": 118.65, "end": 146.69, "text": " minus 1 out of 100 diopters at the front surface of the lens, we write minus 1 out of 100 diopters minus 1 out of 100 diopters at the front surface of the lens, we write minus 1 out of 100 diopters at the front surface of the lens, we write minus 1 out of 100 diopters", "tokens": [3175, 502, 484, 295, 2319, 1026, 404, 1559, 412, 264, 1868, 3753, 295, 264, 6765, 11, 321, 2464, 3175, 502, 484, 295, 2319, 1026, 404, 1559, 3175, 502, 484, 295, 2319, 1026, 404, 1559, 412, 264, 1868, 3753, 295, 264, 6765, 11, 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So this optical system gave me a very small image. Can this image appear bigger than the object itself? This is true. This is angular magnification. How much will this image make a corner with my eye? Let's see as follows. This is my eye in this situation. 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Actually, there is a fact of the matter, this is two meters tall, and this is one meter tall, but let's see how", "tokens": [13342, 652, 309, 1850, 11, 321, 584, 382, 10002, 2102, 307, 22406, 30, 5135, 11, 456, 307, 257, 1186, 295, 264, 1871, 11, 341, 307, 732, 8146, 6764, 11, 293, 341, 307, 472, 9255, 6764, 11, 457, 718, 311, 536, 577], "avg_logprob": -0.6369047363599142, "compression_ratio": 1.3846153846153846, "no_speech_prob": 6.002187728881836e-05, "words": [{"start": 1422.44, "end": 1422.74, "word": "To", "probability": 0.350830078125}, {"start": 1422.74, "end": 1423.06, "word": " make", "probability": 0.187744140625}, {"start": 1423.06, "end": 1423.48, "word": " it", "probability": 0.6142578125}, {"start": 1423.48, "end": 1423.66, "word": " clear,", "probability": 0.75439453125}, {"start": 1424.42, "end": 1426.04, "word": " we", "probability": 0.46044921875}, {"start": 1426.04, "end": 1426.2, "word": " say", "probability": 0.448974609375}, {"start": 1426.2, "end": 1426.4, "word": " as", "probability": 0.66748046875}, {"start": 1426.4, "end": 1426.8, "word": " follows", "probability": 0.71240234375}, {"start": 1426.8, "end": 1437.42, "word": " Who", "probability": 0.2247314453125}, {"start": 1437.42, "end": 1437.5, "word": " is", "probability": 0.783203125}, {"start": 1437.5, "end": 1437.76, "word": " taller?", "probability": 0.367919921875}, {"start": 1438.32, "end": 1438.72, "word": " Actually,", "probability": 0.38818359375}, {"start": 1438.82, "end": 1438.88, "word": " there", "probability": 0.332763671875}, {"start": 1438.88, "end": 1438.9, "word": " is", "probability": 0.775390625}, {"start": 1438.9, "end": 1438.98, "word": " a", "probability": 0.469970703125}, {"start": 1438.98, "end": 1439.16, "word": " fact", "probability": 0.58056640625}, {"start": 1439.16, "end": 1439.36, "word": " of", "probability": 0.209716796875}, {"start": 1439.36, "end": 1439.42, "word": " the", "probability": 0.43017578125}, {"start": 1439.42, "end": 1439.52, "word": " matter,", "probability": 0.80322265625}, {"start": 1439.58, "end": 1439.78, "word": " this", "probability": 0.486572265625}, {"start": 1439.78, "end": 1439.78, "word": " is", "probability": 0.298583984375}, {"start": 1439.78, "end": 1439.98, "word": " two", "probability": 0.402099609375}, {"start": 1439.98, "end": 1440.26, "word": " meters", "probability": 0.91748046875}, {"start": 1440.26, "end": 1440.32, "word": " tall,", "probability": 0.479736328125}, {"start": 1440.76, "end": 1441.14, "word": " and", "probability": 0.55419921875}, {"start": 1441.14, "end": 1441.26, "word": " this", "probability": 0.88232421875}, {"start": 1441.26, "end": 1441.34, "word": " is", "probability": 0.82373046875}, {"start": 1441.34, "end": 1441.54, "word": " one", "probability": 0.66552734375}, {"start": 1441.54, "end": 1441.84, "word": " meter", "probability": 0.91650390625}, {"start": 1441.84, "end": 1441.84, "word": " tall,", "probability": 0.76171875}, {"start": 1442.18, "end": 1442.38, "word": " but", "probability": 0.88623046875}, {"start": 1442.38, "end": 1442.56, "word": " let's", "probability": 0.765380859375}, {"start": 1442.56, "end": 1442.76, "word": " see", "probability": 0.91162109375}, {"start": 1442.76, "end": 1443.16, "word": " how", "probability": 0.9248046875}], "temperature": 1.0}, {"id": 54, "seek": 146287, "start": 1448.33, "end": 1462.87, "text": "التانى اللى موقفين على مستوى معين و العين على نفس المستوى هذا بيعمل زاوية مع العين أكبر بكثير من الزاوية اللى بيعملها اللى بعيد", "tokens": [6027, 2655, 7649, 7578, 13672, 7578, 3714, 30543, 5172, 9957, 15844, 3714, 14851, 2407, 7578, 20449, 9957, 4032, 18863, 9957, 15844, 8717, 36178, 9673, 14851, 2407, 7578, 23758, 4724, 1829, 25957, 1211, 30767, 995, 2407, 10632, 20449, 18863, 9957, 5551, 4117, 26890, 4724, 4117, 12984, 13546, 9154, 6024, 110, 995, 2407, 10632, 13672, 7578, 4724, 1829, 25957, 1211, 11296, 13672, 7578, 45030, 25708], "avg_logprob": -0.16711425106041133, "compression_ratio": 1.9090909090909092, 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1454.25, "word": " هذا", "probability": 0.26025390625}, {"start": 1454.25, "end": 1454.67, "word": " بيعمل", "probability": 0.9892578125}, {"start": 1454.67, "end": 1455.03, "word": " زاوية", "probability": 0.962158203125}, {"start": 1455.03, "end": 1455.21, "word": " مع", "probability": 0.99609375}, {"start": 1455.21, "end": 1455.65, "word": " العين", "probability": 0.987548828125}, {"start": 1455.65, "end": 1460.35, "word": " أكبر", "probability": 0.9427083333333334}, {"start": 1460.35, "end": 1461.23, "word": " بكثير", "probability": 0.978271484375}, {"start": 1461.23, "end": 1461.51, "word": " من", "probability": 0.990234375}, {"start": 1461.51, "end": 1461.91, "word": " الزاوية", "probability": 0.97587890625}, {"start": 1461.91, "end": 1462.03, "word": " اللى", "probability": 0.9697265625}, {"start": 1462.03, "end": 1462.39, "word": " بيعملها", "probability": 0.935546875}, {"start": 1462.39, "end": 1462.51, "word": " اللى", "probability": 0.7763671875}, {"start": 1462.51, "end": 1462.87, "word": " بعيد", "probability": 0.970458984375}], "temperature": 1.0}, {"id": 55, "seek": 148530, "start": 1467.14, "end": 1485.3, "text": "means this can be for example 50 degrees and this can be 30 degrees this will look bigger to our eyes because it is closer to an angle greater than an angle this is what is meant by angular magnification play with transfer magnification how much transfer ... this may be smaller in reality", "tokens": [1398, 599, 341, 393, 312, 337, 1365, 2625, 5310, 293, 341, 393, 312, 2217, 5310, 341, 486, 574, 3801, 281, 527, 2575, 570, 309, 307, 4966, 281, 364, 5802, 5044, 813, 364, 5802, 341, 307, 437, 307, 4140, 538, 24413, 4944, 3774, 862, 365, 5003, 4944, 3774, 577, 709, 5003, 1097, 341, 815, 312, 4356, 294, 4103], "avg_logprob": -0.5646551857734549, "compression_ratio": 1.7, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 1467.14, "end": 1467.4, "word": "means", "probability": 0.460205078125}, {"start": 1467.4, "end": 1467.56, "word": 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The body of the second lens is the image of the first lens. 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"text": "then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over V then I is equal to negative one over", "tokens": 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ووصلنا عند ال principle planes + +3 +00:00:08,280 --> 00:00:13,840 +and points. If an object's position changes in front + +4 +00:00:13,840 --> 00:00:16,680 +of the lens, both the location and magnification + +5 +00:00:16,680 --> 00:00:20,180 +of the image change. كلنا بنعرف أن ال object + +6 +00:00:20,180 --> 00:00:26,000 +location أو position بيأثر على موقع ال image + +7 +00:00:26,000 --> 00:00:30,420 +وطالما بيأثر على موقع ال image، إذا حيأثر على ال + +8 +00:00:30,420 --> 00:00:34,610 +magnification. Most optical systems have one + +9 +00:00:34,610 --> 00:00:37,630 +particular object location that yields + +10 +00:00:37,630 --> 00:00:43,710 +magnification of one. بمعنى أخر تقريبا الغالبية + +11 +00:00:43,710 --> 00:00:47,050 +العظمة من ال optical systems في position معين لل + +12 +00:00:47,050 --> 00:00:50,830 +object. لما بيكون هذا ال object موجود في هذا ال + +13 +00:00:50,830 --> 00:00:54,830 +position، بيكون ساعتها ال magnification plus one. + +14 +00:00:54,830 --> 00:00:58,590 +إيش يعني plus one؟ يعني in other words، بعبارات + +15 +00:00:58,590 --> 00:01:02,050 +أخرى، when an object is located in the correct + +16 +00:01:02,050 --> 00:01:05,570 +position, the image will be upright and the same + +17 +00:01:05,570 --> 00:01:10,830 +size as the object. ممكن إنسان يستعجب يقول يعني كيف + +18 +00:01:10,830 --> 00:01:13,270 +يعني ال object is located in the correct position. + +19 +00:01:13,270 --> 00:01:16,930 +يعني ممكن يكون موقع ال object خطأ، لأ، بنقول في + +20 +00:01:16,930 --> 00:01:20,840 +موقع ما في الفرار. لو ال object بتاع ال optical + +21 +00:01:20,840 --> 00:01:25,780 +system كان موجود في هذا الموقع يعني في الموقع اللي + +22 +00:01:25,780 --> 00:01:29,440 +يعطيني magnification plus one. ساعتها ال + +23 +00:01:29,440 --> 00:01:32,880 +magnification هيكون plus one. لو تغير موقع ال + +24 +00:01:32,880 --> 00:01:38,980 +object. ممكن طبعا أو مش ممكن أكيد الصورة هيتغير + +25 +00:01:38,980 --> 00:01:44,520 +موقعها وبالتالي ال magnification هيتغير موقعه إذا + +26 +00:01:44,520 --> 00:01:48,390 +في موقع واحد هو اللي بيعطيني magnification x plus + +27 +00:01:48,390 --> 00:01:54,170 +one. x plus one and this is understood that changing + +28 +00:01:54,170 --> 00:01:56,390 +the location of the object changes the location of + +29 +00:01:56,390 --> 00:01:59,030 +the image. From the beginning when we talked about + +30 +00:01:59,030 --> 00:02:01,810 +the lens maker equation and the thin lens equation + +31 +00:02:01,810 --> 00:02:05,350 +as long as the object distance O is on one side of + +32 +00:02:05,350 --> 00:02:08,130 +the equation and the image distance I is on the + +33 +00:02:08,130 --> 00:02:09,790 +other side then changing the location of the + +34 +00:02:09,790 --> 00:02:12,750 +object changes the location of the image. This is + +35 +00:02:12,750 --> 00:02:15,310 +understood. But there is a specific location + +36 +00:02:15,310 --> 00:02:18,580 +especially if the object is found with him. In any + +37 +00:02:18,580 --> 00:02:21,720 +optical system, the magnification will be one. + +38 +00:02:21,820 --> 00:02:23,560 +What does one mean? One means the usual picture + +39 +00:02:23,560 --> 00:02:29,280 +and its size or height is the same as the object + +40 +00:02:29,280 --> 00:02:33,980 +or height. The principal planes, of course, one can + +41 +00:02:33,980 --> 00:02:36,520 +say what is the relationship between these words? + +42 +00:02:37,630 --> 00:02:40,410 +قضية ال magnification و ال object position و ال + +43 +00:02:40,410 --> 00:02:44,870 +image position في ال principle planes هتتضح القضية + +44 +00:02:44,870 --> 00:02:48,470 +بعد قليل ان شاء الله تعالى. The principle planes + +45 +00:02:48,470 --> 00:02:53,770 +are perpendicular to the optical axis and identify + +46 +00:02:53,770 --> 00:02:56,490 +the object and image locations that yield a + +47 +00:02:56,490 --> 00:03:01,640 +magnification of one. I have two principal planes, + +48 +00:03:02,220 --> 00:03:05,200 +the anterior principal plane and the posterior + +49 +00:03:05,200 --> 00:03:09,000 +principal plane. These are the principal planes. + +50 +00:03:09,100 --> 00:03:12,180 +If the object is at the anterior principal plane, + +51 +00:03:12,740 --> 00:03:15,640 +the image will be at the posterior principal plane + +52 +00:03:15,640 --> 00:03:19,460 +and the magnification will be 1 standard. 1 + +53 +00:03:19,460 --> 00:03:23,930 +standard means x plus 1. So, the first + +54 +00:03:23,930 --> 00:03:27,670 +characteristic of principal planes is that they + +55 +00:03:27,670 --> 00:03:30,150 +are perpendicular to the optical axis. Each + +56 +00:03:30,150 --> 00:03:32,490 +principal plane is perpendicular to the optical + +57 +00:03:32,490 --> 00:03:34,950 +axis. The anterior principal and posterior + +58 +00:03:34,950 --> 00:03:38,110 +principal are perpendicular to the optical axis. + +59 +00:03:38,970 --> 00:03:42,210 +If the object is at the anterior principal plane. + +60 +00:03:43,370 --> 00:03:45,730 +The image will form at the posterior principal + +61 +00:03:45,730 --> 00:03:49,450 +plane and the magnification will be 1 x 1 x 1 + +62 +00:03:49,450 --> 00:03:52,290 +which means that the image is regular and the + +63 +00:03:52,290 --> 00:03:57,180 +object is very high. The principal planes are also + +64 +00:03:57,180 --> 00:04:10,420 +called the planes of unit magnification and are + +65 +00:04:10,420 --> 00:04:13,900 +geometric representations of where the bending of + +66 +00:04:13,900 --> 00:04:15,480 +light ray occurs. + +67 +00:04:20,850 --> 00:04:23,050 +They have a property that differs from all other + +68 +00:04:23,050 --> 00:04:29,070 +spatial levels. This property is that if the object + +69 +00:04:29,070 --> 00:04:33,310 +is at the anterior principal plane the image will + +70 +00:04:33,310 --> 00:04:36,050 +be at the posterior principal plane and the + +71 +00:04:36,050 --> 00:04:39,190 +magnification will be x plus one which means the + +72 +00:04:39,190 --> 00:04:43,370 +image is regular and the object is real. The second + +73 +00:04:43,370 --> 00:04:46,970 +property that we will talk about. That the principal + +74 +00:04:46,970 --> 00:04:55,670 +planes represent the place where the light breaks. + +75 +00:04:55,670 --> 00:04:59,510 +Before we go to an example, we want to go to an + +76 +00:04:59,510 --> 00:05:02,130 +example from public life. We want to go to an + +77 +00:05:02,130 --> 00:05:05,530 +example from public life and we hope to succeed in + +78 +00:05:05,530 --> 00:05:11,190 +this example. The example requires us to draw some + +79 +00:05:11,190 --> 00:05:11,610 +drawings. + +80 +00:05:26,210 --> 00:05:29,510 +مدينة مكونة من عديد من البيوت. + +81 +00:05:57,950 --> 00:06:01,430 +This is to explain the idea of ​​what benefits me + +82 +00:06:01,430 --> 00:06:04,390 +to know the principal plans. What benefits me to + +83 +00:06:04,390 --> 00:06:06,450 +know the principal plans? + +84 +00:06:08,970 --> 00:06:14,150 +Here we have a city made up of many houses and + +85 +00:06:14,150 --> 00:06:22,670 +roads between them. And + +86 +00:06:22,670 --> 00:06:24,730 +this will help me understand the idea of ​​the + +87 +00:06:24,730 --> 00:06:35,130 +principal plans بشكل يعني مبسط حتى لأ ندخل في بعض + +88 +00:06:35,130 --> 00:06:37,550 +التعقيدات، في بعض التعقيدات + +89 +00:07:04,860 --> 00:07:08,300 +لابد من الإكشار من المنازل حتى تتضح الفكرة. + +90 +00:07:41,920 --> 00:07:47,520 +So this city is composed of several houses and a + +91 +00:07:47,520 --> 00:07:50,300 +person who is present at this point wants to visit + +92 +00:07:50,300 --> 00:07:53,300 +another person who is present at the other side of + +93 +00:07:53,300 --> 00:08:04,660 +the city so he will do first walk + +94 +00:08:04,660 --> 00:08:09,140 +in this direction then + +95 +00:08:18,540 --> 00:08:29,560 +بالاتجاه هذا ثم بالاتجاه + +96 +00:08:29,560 --> 00:08:35,340 +هذا ثم + +97 +00:08:35,340 --> 00:08:39,780 +تابع + +98 +00:08:39,780 --> 00:08:45,040 +zero. بالاتجاه هذا ثم تابع zero + +99 +00:08:47,760 --> 00:08:51,920 +بهذا الاتجاه و + +100 +00:08:51,920 --> 00:08:58,560 +ثم تابع سيرو بهذا + +101 +00:08:58,560 --> 00:09:08,560 +الاتجاه ثم تابع سيرو بهذا + +102 +00:09:08,560 --> 00:09:16,260 +الاتجاه ثم انتهى بيه المطاف انه التقى بصديقه عندها. + +103 +00:09:16,260 --> 00:09:24,640 +دى النقطة. لو سألنا أو لو سأله صديقه كام التفاف بين + +104 +00:09:24,640 --> 00:09:30,120 +منازل المدينة فعلت حتى تصل إلى .. إلي أو إلى + +105 +00:09:30,120 --> 00:09:34,360 +النقطة اللي أنا يعني أقف عندها، هيقولله أول إشي + +106 +00:09:34,360 --> 00:09:41,620 +انحناق، اتنين، تلاتة، أربع، يعني أخيرين الزوايا، + +107 +00:09:41,620 --> 00:09:46,120 +اول انحناق، تاني انحناق، تالت انحناق. fourth bend, + +108 +00:09:46,440 --> 00:09:51,200 +fifth bend, sixth bend, seventh bend, eighth bend, + +109 +00:09:51,680 --> 00:09:54,680 +ninth bend, tenth bend, eleventh bend, twelfth + +110 +00:09:54,680 --> 00:10:00,260 +bend, thirteenth bend, thirteen bends in a row or + +111 +00:10:00,260 --> 00:10:04,240 +in a circle until it reaches his friend. His friend + +112 +00:10:04,240 --> 00:10:07,940 +simply told him if you stay on the edges of the + +113 +00:10:07,940 --> 00:10:21,360 +city. I went from the point that you were at to + +114 +00:10:21,360 --> 00:10:33,100 +the point that I am standing at with + +115 +00:10:33,100 --> 00:10:37,480 +only one rotation. So if you walk in a straight + +116 +00:10:37,480 --> 00:10:41,470 +line on the edges of the city, then you make one + +117 +00:10:41,470 --> 00:10:45,430 +curve at the last edge, it is enough for you to + +118 +00:10:45,430 --> 00:10:51,570 +make one curve or one curve. This curve is less + +119 +00:10:51,570 --> 00:10:59,070 +than 13 curves or 13 curves that you had to do to + +120 +00:10:59,070 --> 00:11:04,010 +get to this point. This point is exactly similar to + +121 +00:11:04,010 --> 00:11:08,430 +principal planes. بمعنى لما الضوء بيدخل ال optical + +122 +00:11:08,430 --> 00:11:14,230 +system متعدد العدسات عند السطح الأمامى للعدسة + +123 +00:11:14,230 --> 00:11:18,350 +الأولى حيصير انكسار عند السطح الخالفى حيصير انكسار + +124 +00:11:18,350 --> 00:11:22,730 +عند السطح الأمامى للعدسة التانية حيصير انكسار عند + +125 +00:11:22,730 --> 00:11:26,110 +السطح الخالفى للعدسة التانية حيصير انكسار عند + +126 +00:11:26,110 --> 00:11:29,350 +السطح الأمامى للعدسة التالتة وهكده هتتعدد + +127 +00:11:29,350 --> 00:11:33,670 +الانكسارات. ال principal plane. The position of all + +128 +00:11:33,670 --> 00:11:36,690 +lenses, as if the light happened at the anterior, + +129 +00:11:36,990 --> 00:11:39,490 +or the refraction, or the reduction of the light, + +130 +00:11:39,630 --> 00:11:41,730 +or the change of the path of the light, happened + +131 +00:11:41,730 --> 00:11:44,250 +only at the anterior and posterior principal + +132 +00:11:44,250 --> 00:11:48,450 +plane, not at the multiple surfaces. This prevents + +133 +00:11:48,450 --> 00:11:51,170 +it. This is exactly like this point. The + +134 +00:11:51,170 --> 00:11:54,750 +refraction at it means that a position has been + +135 +00:11:54,750 --> 00:11:58,540 +established. كل الالتفاتات اللي هذا لإنه أدى نفس + +136 +00:11:58,540 --> 00:12:03,520 +الغرض و أدى بإنه الشخص وصل لصديقه أو الشخص اللي + +137 +00:12:03,520 --> 00:12:06,080 +بيعرفه فهذه فكرة the principally plain. + +138 +00:12:09,910 --> 00:12:14,730 +are geometric representation. بمثلولي المنطقة أو + +139 +00:12:14,730 --> 00:12:19,530 +المكان اللي حصل في انكسار الضوء. طبعا انكسار الضوء + +140 +00:12:19,530 --> 00:12:23,630 +حقيقة حصل على جميع الأسطح تاع العدسات يعني لو + +141 +00:12:23,630 --> 00:12:28,590 +قولنا عنا كاميرا صحفية مكونة من 6 عدسات انكسار + +142 +00:12:28,590 --> 00:12:34,910 +الضوء حصل ب 12 مرة عند السطح الأمامي للعدسة الأولى + +143 +00:12:34,910 --> 00:12:38,430 +والسطح الخالفي للعدسة الأولى. يعني كل عدسة من الست + +144 +00:12:38,430 --> 00:12:43,570 +عدسات هيتم الانكسار. تغير مسار الضوء عندها مرتين + +145 +00:12:43,570 --> 00:12:48,540 +مرة على سطحها الأمامي ومرة على سطحها. Instead of + +146 +00:12:48,540 --> 00:12:53,700 +analyzing the way of light at each lens and using + +147 +00:12:53,700 --> 00:12:58,100 +divergence calculation, we define this system as a + +148 +00:12:58,100 --> 00:13:01,900 +whole to principal planes and say that the light + +149 +00:13:01,900 --> 00:13:04,420 +is rotated at anterior and posterior principal + +150 +00:13:04,420 --> 00:13:08,440 +planes. And this is how we described this whole + +151 +00:13:08,440 --> 00:13:16,300 +thing that happened. Now let's see. مثال بيوضح ال + +152 +00:13:16,300 --> 00:13:19,460 +principle. Please consider an optical system + +153 +00:13:19,460 --> 00:13:25,160 +consisting of two thin lenses in air. هاي أنا عندي + +154 +00:13:25,160 --> 00:13:29,140 +optical system مكون من عدستين موجودين في الهواء + +155 +00:13:29,140 --> 00:13:33,060 +المسافة بينهم خمسة و تلاتين صنطي. المسافة بينهم + +156 +00:13:33,060 --> 00:13:38,540 +خمسة و تلاتين صنطي. ال object بيبعد. بيبعد + +157 +00:13:40,830 --> 00:13:45,410 +The object is 50 cm away from the first lens. The U + +158 +00:13:45,410 --> 00:13:51,390 +will be minus 2. The first lens is plus 6. The V + +159 +00:13:51,390 --> 00:13:55,510 +will be plus 4. As long as the V is plus 4, the + +160 +00:13:55,510 --> 00:14:00,410 +image will be 25 cm away. You can calculate this + +161 +00:14:00,410 --> 00:14:04,970 +equation. The first image is the object of the + +162 +00:14:04,970 --> 00:14:07,800 +second lens. Okay, now how much is the first + +163 +00:14:07,800 --> 00:14:11,600 +transference magnification? We say U over V minus + +164 +00:14:11,600 --> 00:14:14,620 +two diopters to plus four diopters, which is X + +165 +00:14:14,620 --> 00:14:17,760 +minus half. The image is upside down and half the + +166 +00:14:17,760 --> 00:14:27,660 +height of the object. Okay? So, TM1. TM1 + +167 +00:14:27,660 --> 00:14:30,800 +The + +168 +00:14:30,800 --> 00:14:33,180 +magnifier of the first image is equal to U over V + +169 +00:14:33,180 --> 00:14:39,220 +and equal to minus 2 diopter by plus 4 diopter + +170 +00:14:39,220 --> 00:14:45,900 +which is equal to x minus half which means that + +171 +00:14:45,900 --> 00:14:52,080 +the picture is upside down and half + +172 +00:14:52,080 --> 00:14:56,640 +the height of the object. Now we want to calculate + +173 +00:14:56,640 --> 00:15:01,030 +Tm2. But before we calculate TM2, we need to + +174 +00:15:01,030 --> 00:15:05,570 +complete the example. The image is 25 cm away from + +175 +00:15:05,570 --> 00:15:09,770 +the first lens, so it is 10 cm away from the + +176 +00:15:09,770 --> 00:15:12,610 +second lens. Why? Because the distance between the + +177 +00:15:12,610 --> 00:15:17,510 +two lenses is 35 cm, and it is 25 cm away from the + +178 +00:15:17,510 --> 00:15:21,330 +first lens, so it is 10 cm away from the second + +179 +00:15:21,330 --> 00:15:24,730 +lens. The light will spread from the first image + +180 +00:15:24,730 --> 00:15:27,810 +because it is considered an object of the second + +181 +00:15:27,810 --> 00:15:30,590 +lens and will reach a magnitude of minus 10 + +182 +00:15:30,590 --> 00:15:36,010 +diopters. Okay, minus 10 diopters. The lens + +183 +00:15:36,010 --> 00:15:38,470 +strength plus 15 will remain from its strength + +184 +00:15:38,470 --> 00:15:43,570 +plus 5 diopters. This is U and this is V. TM2 + +185 +00:15:51,280 --> 00:15:54,420 +is equal to U over V, which is equal to minus ten + +186 +00:15:54,420 --> 00:16:01,660 +diopters over plus five diopters, which is equal to + +187 +00:16:01,660 --> 00:16:14,180 +x minus two. X minus two. The + +188 +00:16:14,180 --> 00:16:18,460 +Tm total Tm + +189 +00:16:18,460 --> 00:16:23,200 +total. It is equal to Tm1 times Tm2, which is equal + +190 +00:16:23,200 --> 00:16:29,700 +to minus half times + +191 +00: + +223 +00:18:47,940 --> 00:18:51,820 +is in front of the anterior principal plane. طيب + +224 +00:18:51,820 --> 00:18:54,960 +الآن ضل نقطة إضافية أو معلومة إضافية The + +225 +00:18:54,960 --> 00:18:58,020 +intersection تقاطع الانتريور والبستيريور + +226 +00:18:58,020 --> 00:19:01,680 +الprincipal planes with the optical axis defines + +227 +00:19:01,680 --> 00:19:05,000 +the corresponding anterior and posterior principal + +228 +00:19:05,000 --> 00:19:08,860 +points. يعني في المثال اللي احنا مرسوم أمامنا هاي + +229 +00:19:08,860 --> 00:19:13,160 +الposterior principal plane هذا المستوى الفراغي + +230 +00:19:13,160 --> 00:19:16,450 +اللي بمر في الصورة they call it posterior principal + +231 +00:19:16,450 --> 00:19:19,190 +plane and this spatial level that passes through + +232 +00:19:19,190 --> 00:19:22,970 +the object in our case is the anterior principal + +233 +00:19:22,970 --> 00:19:26,010 +plane point of intersection of this plane with the + +234 +00:19:26,010 --> 00:19:29,170 +optical axis they call it anterior principal point + +235 +00:19:29,170 --> 00:19:32,310 +and here they call it point of intersection with + +236 +00:19:32,310 --> 00:19:37,650 +the optical axis posterior principal point The + +237 +00:19:37,650 --> 00:19:40,490 +intersection of the anterior and posterior + +238 +00:19:40,490 --> 00:19:44,370 +principal planes with the optical axis defines the + +239 +00:19:44,370 --> 00:19:48,110 +corresponding anterior and posterior principal + +240 +00:19:48,110 --> 00:19:51,850 +points. + +241 +00:19:51,930 --> 00:19:56,050 +Like nodal points, the principal points are an + +242 +00:19:56,050 --> 00:19:59,630 +important pair of reference points. Exactly like + +243 +00:19:59,630 --> 00:20:01,830 +nodal points, but it has another function. + +244 +00:20:02,070 --> 00:20:06,630 +Principal points are important reference points. + +245 +00:20:09,630 --> 00:20:13,650 +I had a lot of references in geometrical optics + +246 +00:20:13,650 --> 00:20:16,590 +science, the first reference is the optical axis, + +247 +00:20:17,050 --> 00:20:20,210 +the second reference is nodal points, the third + +248 +00:20:20,210 --> 00:20:23,870 +reference is focal points, of course nodal points + +249 +00:20:23,870 --> 00:20:28,810 +and focal points with focal planes اليوم احنا أخذنا + +250 +00:20:28,810 --> 00:20:34,530 +الprincipal points كنقط مرجعية و الprincipal + +251 +00:20:34,530 --> 00:20:40,390 +planes أيضا كمستويات مرجعية طبعا ممكن يقاس بعد + +252 +00:20:40,390 --> 00:20:46,790 +الصورة .. بعد الصورة عن الoptical system من ال + +253 +00:20:46,790 --> 00:20:52,050 +posterior principal point للصورة و بعد الobject + +254 +00:20:52,050 --> 00:20:54,790 +عن الoptical system من ال anterior principal + +255 +00:20:54,790 --> 00:20:59,890 +point للobject So, it is very important that this + +256 +00:20:59,890 --> 00:21:06,190 +case is clear Now, in order to collect all + +257 +00:21:06,190 --> 00:21:09,670 +reference points, we say collectively In a way + +258 +00:21:09,670 --> 00:21:11,730 +that summarizes everything that has been said + +259 +00:21:11,730 --> 00:21:15,390 +before The nodal points, this is one Two, the + +260 +00:21:15,390 --> 00:21:19,620 +focal points The principal points are called + +261 +00:21:19,620 --> 00:21:20,760 +cardinal points + +262 +00:21:34,090 --> 00:21:36,890 +وفي focal points تنتين طبعا nodal points تنتين + +263 +00:21:36,890 --> 00:21:40,070 +anterior و posterior وفي focal points تنتين + +264 +00:21:40,070 --> 00:21:44,010 +anterior و posterior وفي principal points anterior + +265 +00:21:44,010 --> 00:21:48,590 +و posterior هي عندي ستة أو three pairs تلت أزواج + +266 +00:21:48,590 --> 00:21:52,930 +من النقاط المرجعية are called the cardinal points + +267 +00:21:52,930 --> 00:21:56,350 +النقاط الرئيسية because these three pairs of + +268 +00:21:56,350 --> 00:21:59,110 +points completely describe the first order + +269 +00:21:59,110 --> 00:22:03,280 +properties of an optical system يعني باستعمال هذه + +270 +00:22:03,280 --> 00:22:07,960 +الأزواج التلاتة من النقاط ممكن أنا يعني أعمل توصيف + +271 +00:22:07,960 --> 00:22:13,240 +كامل لل optical system اللي أمامي باستعمالها و + +272 +00:22:13,240 --> 00:22:18,860 +بتمرير أشعة من خلالها هتساعدني كتير إن أعرف إيش + +273 +00:22:18,860 --> 00:22:22,880 +هذا هو الoptical system و وين هيكون ليه الصورة + +274 +00:22:22,880 --> 00:22:28,130 +طبعا بواسطة الرسم الgraphic طيب notice that to + +275 +00:22:28,130 --> 00:22:31,770 +compare between three pairs of points two nodal + +276 +00:22:31,770 --> 00:22:35,630 +points, two focal points, two principal points we + +277 +00:22:35,630 --> 00:22:38,350 +notice that two pairs of cardinal points are + +278 +00:22:38,350 --> 00:22:42,790 +conjugated what does conjugate mean? pictures of + +279 +00:22:42,790 --> 00:22:45,770 +each other the posterior principal point is the + +280 +00:22:45,770 --> 00:22:50,150 +image of the anterior principal point in other + +281 +00:22:50,150 --> 00:22:53,710 +words, if there is a lost point on the anterior + +282 +00:22:53,710 --> 00:22:57,390 +principal point, its picture will be in the + +283 +00:22:57,390 --> 00:23:00,450 +posterior principal point, so the posterior + +284 +00:23:00,450 --> 00:23:03,570 +principal point is the picture of the anterior + +285 +00:23:03,570 --> 00:23:07,410 +principal point and the same relationship holds + +286 +00:23:07,410 --> 00:23:10,850 +for the nodal points, also the nodal points, also + +287 +00:23:10,850 --> 00:23:13,750 +the nodal points are pictures of each other, so if + +288 +00:23:13,750 --> 00:23:17,030 +there is a light passing through in the anterior + +289 +00:23:17,030 --> 00:23:20,030 +nodal point, this same dot will come out of the + +290 +00:23:20,030 --> 00:23:23,690 +posterior nodal point or if there is a dot or + +291 +00:23:23,690 --> 00:23:27,570 +starting point from the anterior nodal point, its + +292 +00:23:27,570 --> 00:23:30,510 +shape will be in the posterior nodal point so + +293 +00:23:30,510 --> 00:23:35,990 +these are called conjugate points anterior and + +294 +00:23:35,990 --> 00:23:39,430 +posterior principal points are conjugate points And + +295 +00:23:39,430 --> 00:23:43,470 +anterior and posterior nodal points are conjugate + +296 +00:23:43,470 --> 00:23:46,890 +points, while focal points are not conjugate + +297 +00:23:46,890 --> 00:23:50,690 +points As we thought in previous lectures, if I + +298 +00:23:50,690 --> 00:23:53,470 +have a weak point or weak body in the anterior + +299 +00:23:53,470 --> 00:23:57,700 +focal point, in the FAThe rays that will come out + +300 +00:23:57,700 --> 00:24:01,060 +of the lens will come out parallel and will not go + +301 +00:24:01,060 --> 00:24:03,960 +to the posterior focal point, but will go to the + +302 +00:24:03,960 --> 00:24:08,420 +plus optical infinity Also, the posterior focal + +303 +00:24:08,420 --> 00:24:11,880 +point is not the image of the anterior focal + +304 +00:24:11,880 --> 00:24:16,440 +point, but the rays that come parallel to each + +305 +00:24:16,440 --> 00:24:19,040 +other and parallel to the optical axis from the + +306 +00:24:19,040 --> 00:24:23,120 +minus optical infinity will be its image in the + +307 +00:24:23,120 --> 00:24:28,090 +posterior focal point فبالتالي هذه القضية, اذا ال + +308 +00:24:28,090 --> 00:24:31,110 +focal points مش conjugate, بينما الnodal و ال + +309 +00:24:31,110 --> 00:24:34,010 +principal points are conjugate, طبعا conjugate ال + +310 +00:24:34,010 --> 00:24:38,420 +anterior مع ال posterior Also there is another + +311 +00:24:38,420 --> 00:24:41,960 +difference, two pairs of cardinal points are + +312 +00:24:41,960 --> 00:24:45,740 +associated with planes, which are focal points and + +313 +00:24:45,740 --> 00:24:48,000 +principal points When we talked about focal + +314 +00:24:48,000 --> 00:24:50,000 +points, we used to say that there is a parallel + +315 +00:24:50,000 --> 00:24:53,420 +with it, the focal plane, anterior focal plane and + +316 +00:24:53,420 --> 00:24:56,680 +posterior focal plane Also for principal points, + +317 +00:24:56,780 --> 00:24:59,220 +there is a parallel with it, anterior principal + +318 +00:24:59,220 --> 00:25:04,480 +plane and posterior principal plane, while when we + +319 +00:25:04,480 --> 00:25:07,360 +talk about nodal points, there is no such thing as + +320 +00:25:07,360 --> 00:25:11,080 +nodal plane, there is no such thing in optics or + +321 +00:25:11,080 --> 00:25:18,560 +geometric optics as nodal plane or anterior or + +322 +00:25:18,560 --> 00:25:22,070 +posterior nodal plane nodal points, فقط nodal + +323 +00:25:22,070 --> 00:25:24,910 +points بدون planes, بجيتي الpoints اللي .. ال + +324 +00:25:24,910 --> 00:25:29,290 +principle و ال focal الها planes و عند هذه النقطة + +325 +00:25:29,290 --> 00:25:33,850 +احنا بنتوقف و يعطيكم العافية و السلام عليكم و رحمة + +326 +00:25:33,850 --> 00:25:35,050 +الله و بركة diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw.srt new file mode 100644 index 0000000000000000000000000000000000000000..25a81425f573116ec678a6807c0b9d6c106c63bc --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw.srt @@ -0,0 +1,336 @@ + +1 +00:00:01,670 --> 00:00:02,950 +In the name of God, Most Gracious, Most Merciful. + +2 +00:00:03,570 --> 00:00:06,310 +We have a question about the thin lens equation. + +3 +00:00:06,990 --> 00:00:12,390 +This question is given in the Geometric Optics + +4 +00:00:12,390 --> 00:00:17,110 +course. We say that the power of a thin lens is 5 + +5 +00:00:17,110 --> 00:00:20,500 +diopters. In front of it there is water, the + +6 +00:00:20,500 --> 00:00:24,840 +refractive index of water is 1.33 and behind the + +7 +00:00:24,840 --> 00:00:28,080 +lens there is air, which is equal to 1, the + +8 +00:00:28,080 --> 00:00:31,140 +refractive index of air. The object present in the + +9 +00:00:31,140 --> 00:00:34,360 +water is 33 cm in diameter. Two things are + +10 +00:00:34,360 --> 00:00:37,130 +required. Where is the image? And what is + +11 +00:00:37,130 --> 00:00:40,530 +Transphase Magnification? So we say that in order + +12 +00:00:40,530 --> 00:00:43,570 +to get the image, the first thing we want to see + +13 +00:00:43,570 --> 00:00:47,270 +is the light that came from the object, of course, + +14 +00:00:47,370 --> 00:00:49,650 +it will come as a divergence, it will reach the + +15 +00:00:49,650 --> 00:00:51,950 +produced vergence on the front surface of the + +16 +00:00:51,950 --> 00:00:57,130 +lens, which is U, which is negative N over O + +17 +00:00:59,940 --> 00:01:01,420 +Of course, why it's missing? Because it's a + +18 +00:01:01,420 --> 00:01:03,660 +divergent trail. The light that comes out of any + +19 +00:01:03,660 --> 00:01:07,520 +real object is a divergent trail. It's equal to or + +20 +00:01:07,520 --> 00:01:12,140 +minus. We used to say 1 over O, minus 1. But here, + +21 +00:01:12,220 --> 00:01:14,380 +the object in the water, we use the refractive + +22 +00:01:14,380 --> 00:01:23,370 +index, which is minus 1.33 which is 33 out of 100 + +23 +00:01:23,370 --> 00:01:28,250 +meters which is the distance O which is 33 out of + +24 +00:01:28,250 --> 00:01:30,630 +100 meters of course all the measurements will be + +25 +00:01:30,630 --> 00:01:36,990 +in meters when we multiply 1 and 33 by 33 out of + +26 +00:01:36,990 --> 00:01:40,470 +100 meters let's write it here to make it clear + +27 +00:01:40,470 --> 00:01:42,950 +minus + +28 +00:01:45,720 --> 00:01:51,420 +because minus over plus is minus, minus four, four, + +29 +00:01:51,700 --> 00:01:53,960 +and the meter in the station, when it goes up, it + +30 +00:01:53,960 --> 00:01:56,460 +becomes meter minus one, which is minus four + +31 +00:01:56,460 --> 00:02:05,840 +diopters. The best is to write minus four diopters + +32 +00:02:05,840 --> 00:02:08,730 +on the front of the lens وكأنني بقول .. ليش عند + +33 +00:02:08,730 --> 00:02:12,090 +السطح الأمامي؟ وكأنني بقول الضوء إجا بتشتت مقداره + +34 +00:02:12,090 --> 00:02:17,510 +minus 4 diopters، الآن العدسة بنقولها إيش بدك تعملي + +35 +00:02:17,510 --> 00:02:23,080 +مع الضوء وصل لسطحك بتشتت مقداره 4. You will say, I + +36 +00:02:23,080 --> 00:02:25,300 +will try to cancel the oscillation, the + +37 +00:02:25,300 --> 00:02:30,900 +oscillation is minus 4, it needs a force plus 4 to + +38 +00:02:30,900 --> 00:02:34,660 +cancel it, so when the lens has a force plus 5, it + +39 +00:02:34,660 --> 00:02:41,210 +will consume on the front surface. The front power + +40 +00:02:41,210 --> 00:02:43,350 +of the lens will be the force of the front surface + +41 +00:02:43,350 --> 00:02:51,650 +plus 4 to make the distortion go away. + +42 +00:02:52,510 --> 00:02:58,710 +The force of the back surface is equal to V which + +43 +00:02:58,710 --> 00:03:04,850 +is the reduced image divergence. We say U plus P + +44 +00:03:04,850 --> 00:03:07,710 +is equal to V. + +45 +00:03:10,820 --> 00:03:17,880 +إذن الـU عندي minus 4 diopters و ال power عندي plus + +46 +00:03:17,880 --> 00:03:24,000 +5 diopters يساوي + +47 +00:03:24,000 --> 00:03:35,700 +ال V إذن ال V تساوي ال V تساوي plus 1 diopter + +48 +00:03:37,820 --> 00:03:42,100 +As soon as I put the V on the back surface, it's + +49 +00:03:42,100 --> 00:03:49,200 +as if we say that + +50 +00:03:49,200 --> 00:03:56,740 +as soon as the lens receives the lightالمتشتت + +51 +00:03:56,740 --> 00:04:01,760 +استهلك من قوتها عشان تصفر تشتت واستهلك أربعة + +52 +00:04:01,760 --> 00:04:07,160 +diopters and it had plus one diopter left. That means the + +53 +00:04:07,160 --> 00:04:11,160 +light divergence situation, after the light leaves + +54 +00:04:11,160 --> 00:04:15,460 +the lens it says the situation is plus one, meaning it is converging + +55 +00:04:15,460 --> 00:04:20,240 +by plus one diopter. As long as it is converging, it's on its way to + +56 +00:04:20,240 --> 00:04:24,240 +form an image at some distance. Either this picture is on + +57 +00:04:24,240 --> 00:04:29,300 +any dimension, we say v is equal to unconditional + +58 +00:04:29,300 --> 00:04:37,900 +on i and it is equal to or not equal, we say as + +59 +00:04:37,900 --> 00:04:45,220 +follows. We go back to I small. We say I is equal to + +60 +00:04:45,220 --> 00:04:48,920 +unconditional on v, we change the place together + +61 +00:04:48,920 --> 00:04:53,850 +and it is equal tounconditional which is one + +62 +00:04:53,850 --> 00:04:56,950 +because we are in the air here. The place is air + +63 +00:04:56,950 --> 00:04:58,850 +which is where the picture is formed and it is + +64 +00:04:58,850 --> 00:05:05,790 +equal to one over plus one diopter and + +65 +00:05:05,790 --> 00:05:09,330 +it is equal to one over plus one which is plus one + +66 +00:05:09,330 --> 00:05:11,730 +and the diopter which is one meter minus one in + +67 +00:05:11,730 --> 00:05:13,470 +this place when it comes out it becomes one meter + +68 +00:05:13,470 --> 00:05:16,190 +so the picture is formed on a distance of one + +69 +00:05:16,190 --> 00:05:16,330 +meter + +70 +00:05:19,630 --> 00:05:21,570 +on the right of the lens. As long as it is in place + +71 +00:05:21,570 --> 00:05:23,890 +then the distance is on the right of the lens so + +72 +00:05:23,890 --> 00:05:30,230 +this is for which is + +73 +00:05:30,230 --> 00:05:37,370 +for + +74 +00:05:37,370 --> 00:05:41,990 +the image distance or image location. Now let's see + +75 +00:05:41,990 --> 00:05:44,010 +for the transphase magnification. For the + +76 +00:05:44,010 --> 00:05:47,450 +transphase magnification. Enlarge it a little bit. + +77 +00:05:59,270 --> 00:06:04,910 +transfers magnification is equal to U over V. + +78 +00:06:08,680 --> 00:06:11,020 +When I want to say u over v, I immediately look at + +79 +00:06:11,020 --> 00:06:13,520 +the front surface and the back surface. The front + +80 +00:06:13,520 --> 00:06:16,000 +surface is u and the back surface is v, and it is + +81 +00:06:16,000 --> 00:06:22,180 +equal to minus four diopters over plus one + +82 +00:06:22,180 --> 00:06:29,960 +diopters, and it is equal to minus over plus is + +83 +00:06:29,960 --> 00:06:37,340 +minus, minus four over one is four. And the + +84 +00:06:37,340 --> 00:06:39,940 +diopter goes to the diopter, so it is minus four. diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..0c7010bec991b01b45b3aacccb2007b31f6f99c6 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mB4vkwUFOkw_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 1789, "start": 1.67, "end": 17.89, "text": "In the name of God, Most Gracious, Most Merciful. We have a question about the thin lens equation. This question is given in the Geometric Optics course. We say that the power of a thin lens is 5 diopters.", "tokens": [4575, 264, 1315, 295, 1265, 11, 4534, 20586, 851, 11, 4534, 18897, 2069, 13, 492, 362, 257, 1168, 466, 264, 5862, 6765, 5367, 13, 639, 1168, 307, 2212, 294, 264, 2876, 29470, 21455, 1167, 1164, 13, 492, 584, 300, 264, 1347, 295, 257, 5862, 6765, 307, 1025, 1026, 404, 1559, 13], "avg_logprob": -0.5267427598054593, "compression_ratio": 1.4137931034482758, "no_speech_prob": 4.589557647705078e-06, "words": [{"start": 1.67, "end": 1.95, "word": "In", "probability": 0.061553955078125}, {"start": 1.95, "end": 1.97, "word": " the", "probability": 0.8486328125}, {"start": 1.97, "end": 1.97, "word": " name", "probability": 0.8427734375}, {"start": 1.97, "end": 2.17, "word": " of", "probability": 0.97216796875}, {"start": 2.17, "end": 2.17, "word": " God,", "probability": 0.48681640625}, {"start": 2.23, "end": 2.33, "word": " Most", "probability": 0.2425537109375}, {"start": 2.33, "end": 2.39, "word": " Gracious,", "probability": 0.84619140625}, {"start": 2.49, "end": 2.61, "word": " Most", "probability": 0.92236328125}, {"start": 2.61, "end": 2.95, "word": " Merciful.", "probability": 0.943359375}, {"start": 3.57, "end": 3.85, "word": " We", "probability": 0.5703125}, {"start": 3.85, "end": 3.93, "word": " have", "probability": 0.81884765625}, {"start": 3.93, "end": 4.07, "word": " a", "probability": 0.68701171875}, {"start": 4.07, "end": 4.27, "word": " question", "probability": 0.3212890625}, {"start": 4.27, "end": 4.57, "word": " about", "probability": 0.52490234375}, {"start": 4.57, "end": 4.71, "word": " the", "probability": 0.60791015625}, {"start": 4.71, "end": 4.93, "word": " thin", "probability": 0.544921875}, {"start": 4.93, "end": 5.31, "word": " lens", "probability": 0.896484375}, {"start": 5.31, "end": 6.31, "word": " equation.", "probability": 0.89990234375}, {"start": 6.99, "end": 7.51, "word": " This", "probability": 0.68017578125}, {"start": 7.51, "end": 7.93, "word": " question", "probability": 0.267822265625}, {"start": 7.93, "end": 8.07, "word": " is", "probability": 0.6337890625}, {"start": 8.07, "end": 8.33, "word": " given", "probability": 0.46826171875}, {"start": 8.33, "end": 9.57, "word": " in", "probability": 0.2218017578125}, {"start": 9.57, "end": 10.65, "word": " the", "probability": 0.4658203125}, {"start": 10.65, "end": 11.71, "word": " Geometric", "probability": 0.6805419921875}, {"start": 11.71, "end": 12.39, "word": " Optics", "probability": 0.899658203125}, {"start": 12.39, "end": 12.39, "word": " course.", "probability": 0.10943603515625}, {"start": 12.65, "end": 12.89, "word": " We", "probability": 0.74169921875}, {"start": 12.89, "end": 13.09, "word": " say", "probability": 0.56591796875}, {"start": 13.09, "end": 13.35, "word": " that", "probability": 0.845703125}, {"start": 13.35, "end": 13.49, "word": " the", "probability": 0.6748046875}, {"start": 13.49, "end": 13.71, "word": " power", "probability": 0.49609375}, {"start": 13.71, "end": 13.71, "word": " of", "probability": 0.6240234375}, {"start": 13.71, "end": 13.71, "word": " a", "probability": 0.4560546875}, {"start": 13.71, "end": 13.71, "word": " thin", "probability": 0.84423828125}, {"start": 13.71, "end": 14.17, "word": " lens", "probability": 0.91162109375}, {"start": 14.17, "end": 16.25, "word": " is", "probability": 0.58349609375}, {"start": 16.25, "end": 17.11, "word": " 5", "probability": 0.365478515625}, {"start": 17.11, "end": 17.89, "word": " diopters.", "probability": 0.7444661458333334}], "temperature": 1.0}, {"id": 2, "seek": 3558, "start": 18.32, "end": 35.58, "text": "in front of it there is water, the refractive index of water is 31.33% and behind the lens there is air, which is equal to 1, the refractive index of air. The object present in the water is 33 cm in diameter. Two things are required. 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The force of the back surface is equal to V which is the reduced image divergence. 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"end": 167.19, "word": " distortion", "probability": 0.050048828125}, {"start": 167.19, "end": 169.07, "word": " go", "probability": 0.1622314453125}, {"start": 169.07, "end": 171.65, "word": " away.", "probability": 0.84521484375}, {"start": 172.51, "end": 173.15, "word": " The", "probability": 0.348876953125}, {"start": 173.15, "end": 173.63, "word": " force", "probability": 0.6201171875}, {"start": 173.63, "end": 173.83, "word": " of", "probability": 0.82666015625}, {"start": 173.83, "end": 175.97, "word": " the", "probability": 0.90234375}, {"start": 175.97, "end": 176.49, "word": " back", "probability": 0.462158203125}, {"start": 176.49, "end": 176.49, "word": " surface", "probability": 0.82421875}, {"start": 176.49, "end": 176.81, "word": " is", "probability": 0.2369384765625}, {"start": 176.81, "end": 177.07, "word": " equal", "probability": 0.39013671875}, {"start": 177.07, "end": 177.23, "word": " to", "probability": 0.96826171875}, {"start": 177.23, "end": 177.55, "word": " 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217.82, "end": 233.66, "text": "As soon as I put the V on the back surface, it's as if we say that as soon as the lens receives the light", "tokens": [10884, 2321, 382, 286, 829, 264, 691, 322, 264, 646, 3753, 11, 309, 311, 382, 498, 321, 584, 300, 382, 2321, 382, 264, 6765, 20717, 264, 1442], "avg_logprob": -0.6679687308413642, "compression_ratio": 1.1931818181818181, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 217.82, "end": 218.06, "word": "As", "probability": 0.0345458984375}, {"start": 218.06, "end": 218.44, "word": " soon", "probability": 0.59765625}, {"start": 218.44, "end": 219.04, "word": " as", "probability": 0.96533203125}, {"start": 219.04, "end": 219.14, "word": " I", "probability": 0.7001953125}, {"start": 219.14, "end": 220.38, "word": " put", "probability": 0.296875}, {"start": 220.38, "end": 220.76, "word": " the", "probability": 0.58154296875}, {"start": 220.76, "end": 220.96, "word": " V", "probability": 0.2066650390625}, {"start": 220.96, "end": 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0.916015625}, {"start": 249.79, "end": 250.79, "word": " dispersion،", "probability": 0.787109375}, {"start": 250.79, "end": 251.19, "word": " يعطيكم", "probability": 0.9307861328125}, {"start": 251.19, "end": 251.61, "word": " العافية", "probability": 0.9656575520833334}, {"start": 251.61, "end": 252.07, "word": " والسلام", "probability": 0.7858072916666666}, {"start": 252.07, "end": 252.61, "word": " عليكم", "probability": 0.942626953125}, {"start": 252.61, "end": 253.07, "word": " ورحمة", "probability": 0.95703125}, {"start": 253.07, "end": 253.35, "word": " الله", "probability": 0.970703125}, {"start": 253.35, "end": 254.15, "word": " وبركة", "probability": 0.9520263671875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 254.165625, "duration_after_vad": 250.58562499999994} \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..4d0a02fbdb9220239352ec0ab7d9c573304a9f85 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mVao-lGWsuM_postprocess.srt @@ -0,0 +1,764 @@ +1 +00:00:01,850 --> 00:00:08,330 +بسم الله الرحمن الرحيم بسم + +2 +00:00:08,330 --> 00:00:12,970 +الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +3 +00:00:12,970 --> 00:00:13,050 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +4 +00:00:13,050 --> 00:00:13,070 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +5 +00:00:13,070 --> 00:00:13,090 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +6 +00:00:13,090 --> 00:00:18,210 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +7 +00:00:18,210 --> 00:00:23,970 +الرحمن الرحيم بسم Allah Allah + +8 +00:00:27,390 --> 00:00:30,770 +we deal with each lens one by one with each lens + +9 +00:00:30,770 --> 00:00:35,250 +one by one of course it is preferable if we hide + +10 +00:00:35,250 --> 00:00:45,810 +the lens number two on the basis that we can work + +11 +00:00:45,810 --> 00:00:51,450 +comfortably comfortably here + +12 +00:00:51,450 --> 00:00:55,390 +we hide the lens number two we say we have a plus + +13 +00:00:55,390 --> 00:00:59,240 +lens7 diopter and on the distance from it on the + +14 +00:00:59,240 --> 00:01:02,920 +left 50 cm object wherever the point is wherever + +15 +00:01:02,920 --> 00:01:07,920 +the point is we say u is equal to negative n over + +16 +00:01:07,920 --> 00:01:12,740 +o and + +17 +00:01:12,740 --> 00:01:18,060 +is equal to negative 1 over 50 cm which is half a + +18 +00:01:18,060 --> 00:01:24,220 +meter and is equal to negative 2 diopter negative + +19 +00:01:24,220 --> 00:01:25,200 +2 diopter + +20 +00:01:28,370 --> 00:01:32,210 +So, the amplitude of the light when it reaches the + +21 +00:01:32,210 --> 00:01:34,950 +surface of the front lens is less than 2 diopters + +22 +00:01:34,950 --> 00:01:42,270 +On the + +23 +00:01:42,270 --> 00:01:44,590 +front lens surface, I put that the light reaches + +24 +00:01:44,590 --> 00:01:50,730 +with an amplitude of 2 diopters Now, let's see how + +25 +00:01:50,730 --> 00:02:00,500 +much the amplitude will be U plus P is equal to VU + +26 +00:02:00,500 --> 00:02:04,340 +which is minus 2 diopter and power which is plus 7 + +27 +00:02:04,340 --> 00:02:12,480 +diopter which is equal to V so V is equal to + +28 +00:02:12,480 --> 00:02:16,200 +plus 5 diopter so the light will come out in + +29 +00:02:16,200 --> 00:02:22,220 +groups of 5 diopter plus which means that the + +30 +00:02:22,220 --> 00:02:25,980 +light will come out in groups as long as it will + +31 +00:02:25,980 --> 00:02:26,760 +come out in groups + +32 +00:02:31,910 --> 00:02:39,130 +It means that it will create a real image And + +33 +00:02:39,130 --> 00:02:42,770 +therefore, + +34 +00:02:42,950 --> 00:02:44,590 +we need to know the location of the image The + +35 +00:02:44,590 --> 00:02:50,770 +image is Uncharted on V It + +36 +00:02:50,770 --> 00:02:55,370 +is equal to 1 which is Uncharted on V plus 5 + +37 +00:02:55,370 --> 00:03:02,520 +diopterand it's equal to 2 out of 10 meters plus 2 + +38 +00:03:02,520 --> 00:03:04,820 +out of 10 plus means the image on the right of the + +39 +00:03:04,820 --> 00:03:12,520 +lens to plus plus 2 out of 10 meters means + +40 +00:03:12,520 --> 00:03:17,280 +plus 20 centimeters plus 20 centimeters to the + +41 +00:03:17,280 --> 00:03:22,260 +right of the lens to plus now we want to get the + +42 +00:03:22,260 --> 00:03:24,680 +transverse magnification but before we get the + +43 +00:03:24,680 --> 00:03:29,750 +transverse magnificationof course here the V, why + +44 +00:03:29,750 --> 00:03:33,250 +did you look at it? because T is 5 and here the + +45 +00:03:33,250 --> 00:03:38,830 +image is 20 + +46 +00:03:38,830 --> 00:03:44,550 +cm we want to move this square away to close the + +47 +00:03:44,550 --> 00:03:48,930 +second lens and see where is 20 cm on the right of + +48 +00:03:48,930 --> 00:03:51,470 +the plus lens is 20 cm, the distance between the + +49 +00:03:51,470 --> 00:03:54,170 +two lenses is 10 cm, so the image will come here + +50 +00:03:55,050 --> 00:03:59,110 +بعيدة عشرين سانتي عن العدسة رقم واحد اللي هي + +51 +00:03:59,110 --> 00:04:04,090 +العدسة الأولى بعيدة عشر سانتي + +52 +00:04:22,070 --> 00:04:27,110 +So this image is 20 cm away from the plus lens, so + +53 +00:04:27,110 --> 00:04:37,630 +it is 10 cm away from the minus lens Now we bring + +54 +00:04:37,630 --> 00:04:39,290 +the transfer magnification, + +55 +00:04:41,790 --> 00:04:46,330 +we still need to + +56 +00:04:46,330 --> 00:04:50,470 +bring DM1, we are still dealing with the first + +57 +00:04:50,470 --> 00:05:01,350 +lensthen we get TM1 which + +58 +00:05:01,350 --> 00:05:09,790 +is equal to U over V which is equal to U minus two + +59 +00:05:09,790 --> 00:05:13,870 +diopter and V plus five diopter minus two diopter + +60 +00:05:13,870 --> 00:05:23,700 +over plus five diopter which is equal tox minus 4 + +61 +00:05:23,700 --> 00:05:28,000 +out of 10 what does x minus 4 out of 10 mean? it + +62 +00:05:28,000 --> 00:05:31,940 +means the picture is upside down and four tenths + +63 +00:05:31,940 --> 00:05:38,560 +of the object four tenths of the + +64 +00:05:38,560 --> 00:05:42,120 +object this was the transference magnification of + +65 +00:05:42,120 --> 00:05:47,620 +the first lens now we hide the first lenswe move + +66 +00:05:47,620 --> 00:05:50,080 +on to dealing with the other lens we move on to + +67 +00:05:50,080 --> 00:05:53,260 +dealing with the other lens we say this is the + +68 +00:05:53,260 --> 00:05:55,320 +object of the other lens which is the image of the + +69 +00:05:55,320 --> 00:05:58,640 +first lens but it is on its right which means that + +70 +00:05:58,640 --> 00:06:01,380 +the rays before they go and form this image which + +71 +00:06:01,380 --> 00:06:03,640 +is the object of the other lens will collide in + +72 +00:06:03,640 --> 00:06:07,280 +the minus lens which is convergent which means + +73 +00:06:07,280 --> 00:06:13,120 +virtual object virtual object so this speech we + +74 +00:06:13,120 --> 00:06:18,400 +want to see what it wants to dois a virtual object + +75 +00:06:18,400 --> 00:06:32,040 +we + +76 +00:06:32,040 --> 00:06:32,620 +say you + +77 +00:06:37,820 --> 00:06:40,680 +the light will reach the surface of the negative + +78 +00:06:40,680 --> 00:06:44,400 +lens plus N over O why plus? because the light is + +79 +00:06:44,400 --> 00:06:47,100 +going to form the first image and hit the second + +80 +00:06:47,100 --> 00:06:50,780 +lens so it is a virtual object U equals plus N + +81 +00:06:50,780 --> 00:06:56,920 +over O equals plus one over O which is ten + +82 +00:06:56,920 --> 00:06:59,500 +centimeters which is the object which is the first + +83 +00:06:59,500 --> 00:07:01,640 +image of the lens which is the object of the + +84 +00:07:01,640 --> 00:07:04,020 +second lens which is ten centimeters away from it + +85 +00:07:06,800 --> 00:07:12,100 +It is equal to plus ten diopters. So, + +86 +00:07:16,860 --> 00:07:22,360 +the light will reach a frequency of plus ten + +87 +00:07:22,360 --> 00:07:28,880 +diopters. Plus ten diopters on the front surface + +88 +00:07:28,880 --> 00:07:33,100 +of the minus lens. It will reach a frequency of + +89 +00:07:33,100 --> 00:07:35,660 +plus ten diopters. How much frequency will it + +90 +00:07:35,660 --> 00:07:45,770 +reach?we say u plus p equals v u plus ten this is + +91 +00:07:45,770 --> 00:07:54,790 +greater power minus five this is greater minus + +92 +00:07:54,790 --> 00:08:00,570 +five this is greater distance minus five this is + +93 +00:08:00,570 --> 00:08:10,850 +greaterMinus is equal to V So, V is equal to plus + +94 +00:08:10,850 --> 00:08:16,030 +five diodes I + +95 +00:08:16,030 --> 00:08:21,110 +Let's enlarge the line a little bit because we + +96 +00:08:21,110 --> 00:08:28,610 +tried to finish it And U and V will give them + +97 +00:08:28,610 --> 00:08:28,810 +color + +98 +00:08:38,670 --> 00:08:41,830 +So, the light reached with plus 10 diopters and + +99 +00:08:41,830 --> 00:08:46,590 +went out with plus 5 diopters As long as it has a + +100 +00:08:46,590 --> 00:08:50,190 +plus output, it is also convergent and it will + +101 +00:08:50,190 --> 00:08:57,330 +make a real image Real image where it is I is + +102 +00:08:57,330 --> 00:09:03,890 +equal to condition on V and it is equal to let's + +103 +00:09:03,890 --> 00:09:04,450 +continue with + +104 +00:09:13,300 --> 00:09:26,920 +ويساوي 1 على plus 1 على plus 5 diopter ويساوي plus + +105 +00:09:26,920 --> 00:09:37,030 +2 من 10 متر ويساوي plus 20 cmthen the image will + +106 +00:09:37,030 --> 00:09:38,690 +be on the right side of the lens which is minus + +107 +00:09:38,690 --> 00:09:56,990 +20cm then we + +108 +00:09:56,990 --> 00:10:00,650 +come to the transphase magnification which is + +109 +00:10:00,650 --> 00:10:05,230 +equal toThe image of this lens is 20 cm on its + +110 +00:10:05,230 --> 00:10:23,950 +right Real image is 20 + +111 +00:10:23,950 --> 00:10:29,630 +cm away from the negative lens Here is the + +112 +00:10:29,630 --> 00:10:30,030 +distance + +113 +00:10:33,110 --> 00:10:36,730 +10 cm and the distance between the body and its + +114 +00:10:36,730 --> 00:10:39,750 +image is 10 cm this is the body of the minus lens + +115 +00:10:39,750 --> 00:10:43,730 +and this is the image of the minus lens the image + +116 +00:10:43,730 --> 00:10:47,930 +is 20 cm let's give it the same color + +117 +00:10:57,160 --> 00:10:59,580 +of the minus lens because it's the image of the + +118 +00:10:59,580 --> 00:11:01,560 +minus lens this is the image of the plus lens + +119 +00:11:01,560 --> 00:11:04,520 +which is the body of the minus lens now we don't + +120 +00:11:04,520 --> 00:11:08,160 +have anything in this square the example is + +121 +00:11:08,160 --> 00:11:14,420 +complete but I still have to get the TM2 equals U + +122 +00:11:14,420 --> 00:11:19,400 +over V equals + +123 +00:11:19,400 --> 00:11:25,240 +plus ten diopters here we didn't write how much V + +124 +00:11:25,240 --> 00:11:34,500 +is V plus 5 diopter V plus 5 diopter means that + +125 +00:11:34,500 --> 00:11:36,300 +the refractive field produced by the light from + +126 +00:11:36,300 --> 00:11:47,200 +the lens is minus U + +127 +00:11:47,200 --> 00:11:53,180 +over V equals plus 10 diopter over plus 5 diopter + +128 +00:11:54,350 --> 00:12:01,730 +and it's equal to x plus 2 x + +129 +00:12:01,730 --> 00:12:06,490 +plus 2 let's + +130 +00:12:06,490 --> 00:12:12,730 +see the Tm total it's + +131 +00:12:12,730 --> 00:12:17,230 +equal to Tm 1 times Tm 2 which is minus four out + +132 +00:12:17,230 --> 00:12:23,230 +of ten times plus + +133 +00:12:23,230 --> 00:12:37,920 +twoand it equals x + +134 +00:12:37,920 --> 00:12:45,440 +minus because minus in plus is minus eight out of + +135 +00:12:45,440 --> 00:12:50,460 +ten eight out of ten so this picture at a distance + +136 +00:12:50,460 --> 00:12:52,680 +of twenty centimeters to the right + +137 +00:12:56,200 --> 00:13:08,740 +هذه أنا عندي TM2 وهذه + +138 +00:13:08,740 --> 00:13:11,360 +أنا عندي ال TM Total + +139 +00:13:21,750 --> 00:13:23,490 +That's how the example was completed. That's how + +140 +00:13:23,490 --> 00:13:26,090 +the example was completed. What does TM total + +141 +00:13:26,090 --> 00:13:28,310 +minus eight out of ten mean? It means that the + +142 +00:13:28,310 --> 00:13:31,570 +final picture, which is this one, is inverted + +143 +00:13:31,570 --> 00:13:37,290 +relative to the original body and eight out of ten + +144 +00:13:37,290 --> 00:13:39,290 +height relative to it. That is, if it is ten + +145 +00:13:39,290 --> 00:13:41,510 +centimeters long or high, it will be eight + +146 +00:13:41,510 --> 00:13:47,290 +centimeters.طيب، الان TM2 X plus 2 يعني الصورة + +147 +00:13:47,290 --> 00:13:51,050 +معتادلة بالنسبة لجسمها، هاي جسمها و هي زيه في نفس + +148 +00:13:51,050 --> 00:13:57,650 +الاتجاه معتادلة و ضعفينه في الارتفاع، اذا كان هو + +149 +00:13:57,650 --> 00:14:00,690 +عشرة صنطي، هو عشرين صنطي، اذا هي عشرة صنطي، هو + +150 +00:14:00,690 --> 00:14:04,260 +خمسة صنطيSo this is the example. Now there are + +151 +00:14:04,260 --> 00:14:07,180 +some interpretations of this example. There may be + +152 +00:14:07,180 --> 00:14:09,500 +a question right or wrong that says, is it + +153 +00:14:09,500 --> 00:14:12,540 +possible for the minus lens to form a real image? + +154 +00:14:13,650 --> 00:14:17,510 +الكلام صحيح، هاي real image لعدسة minus، إمتى + +155 +00:14:17,510 --> 00:14:20,890 +بتكون العدسة ال minus real image؟ يعني الإجابة + +156 +00:14:20,890 --> 00:14:26,590 +true، can minus lens produce real image؟ نعم، إذا + +157 +00:14:26,590 --> 00:14:30,070 +كان ال object virtual، إذا كان ال object virtual، + +158 +00:14:30,070 --> 00:14:32,650 +كيف عرفنا ال object virtual؟ أشعة اللي جاية في + +159 +00:14:32,650 --> 00:14:36,890 +العدسة ال minus جاية conversion، فش object حقيقي + +160 +00:14:36,890 --> 00:14:39,250 +بيعطي conversion light، دايما ال real object + +161 +00:14:39,250 --> 00:14:44,310 +divergence light بتطلع منهSo the minus lens can be + +162 +00:14:44,310 --> 00:14:50,100 +formedreal image if the object is virtual if the + +163 +00:14:50,100 --> 00:14:53,160 +object is virtual and the amount of oscillation or + +164 +00:14:53,160 --> 00:14:55,800 +accumulation in terms of oscillation that comes to + +165 +00:14:55,800 --> 00:14:59,860 +the lens the minus is stronger than its minus + +166 +00:14:59,860 --> 00:15:02,960 +stronger than its minus power that is, here the + +167 +00:15:02,960 --> 00:15:06,240 +accumulation is plus ten it is minus five, so it + +168 +00:15:06,240 --> 00:15:08,540 +is stronger than it the light remained accumulated + +169 +00:15:08,540 --> 00:15:11,880 +in the amount of five, so it will be formed in my + +170 +00:15:11,880 --> 00:15:17,500 +real imageBut is it possible for the minus lens to + +171 +00:15:17,500 --> 00:15:20,980 +form a real image for a real object? The answer is + +172 +00:15:20,980 --> 00:15:23,920 +wrong It's not possible at all because the real + +173 +00:15:23,920 --> 00:15:27,780 +object will have a different beam from it, the + +174 +00:15:27,780 --> 00:15:32,140 +real object So it will be the U with the minus and + +175 +00:15:32,140 --> 00:15:34,820 +the minus lens will always add to the minus and + +176 +00:15:34,820 --> 00:15:38,800 +the V will come out with the minus So the minus + +177 +00:15:38,800 --> 00:15:43,360 +lens is possible sometimes, sometimes, not all the + +178 +00:15:43,360 --> 00:15:49,430 +timeIt's a real image for a virtual object But + +179 +00:15:49,430 --> 00:15:52,150 +it's impossible for a digital lens to form a real + +180 +00:15:52,150 --> 00:15:55,050 +image for a real object Real image for a real + +181 +00:15:55,050 --> 00:15:58,670 +object, there's no possibility Okay, I have a + +182 +00:15:58,670 --> 00:16:03,700 +virtual objectBut the minus lens is not able to + +183 +00:16:03,700 --> 00:16:06,580 +create a real image, which means that this virtual + +184 +00:16:06,580 --> 00:16:09,420 +object came with a collection less than its power, + +185 +00:16:09,580 --> 00:16:12,500 +plus three for example, and here I have minus + +186 +00:16:12,500 --> 00:16:15,840 +five, the result will be minus two, so the picture + +187 +00:16:15,840 --> 00:16:20,880 +will also be virtualعشان نلخص الكلام هذا في بعض + +188 +00:16:20,880 --> 00:16:25,800 +الأحيان ال minus lens sometimes can form real .. + +189 +00:16:25,800 --> 00:16:30,660 +sometimes not all the times .. sometimes can form + +190 +00:16:30,660 --> 00:16:36,840 +real imagefor virtual object, but cannot at all, + +191 +00:16:37,320 --> 00:16:42,420 +cannot at all form a real image for real object + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mrVlEzCMyYc_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mrVlEzCMyYc_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..090954b76641771a2769436a7cc74f8118b11f7a --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mrVlEzCMyYc_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2981, "start": 1.43, "end": 29.81, "text": "بسم الله الرحمن الرحيم عنا مسألة بدنا نحسب البعد بين ال anterior principal point و ال anterior nodal point عندي عزسة plus عشرين ديوبتر أمامها ع الشمال فيه هواء ال N1 و خلفها فيه مادة gel عبارة عن gel ال refractive index ده هواحد و أربعة من عشرة طبعا gel شفاف بينفذ الطوء يعني optical medium بدنا نحسب ال anterior focal length في الأول يساوي NO", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 6225, 8315, 47524, 10721, 37977, 47525, 8315, 8717, 5016, 35457, 29739, 22488, 49374, 2423, 22272, 9716, 935, 4032, 2423, 22272, 15224, 304, 935, 6225, 1863, 16254, 6225, 11622, 3794, 3660, 1804, 6225, 46309, 9957, 11778, 1829, 37746, 2655, 2288, 5551, 2304, 10943, 11296, 6225, 25124, 2304, 6027, 8978, 3224, 8032, 2407, 16606, 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clarification", "tokens": [3522, 1633, 312, 10117, 337, 34449], "avg_logprob": -0.7366071428571429, "compression_ratio": 0.8095238095238095, "no_speech_prob": 0.0, "words": [{"start": 229.92, "end": 230.24, "word": "It", "probability": 0.14404296875}, {"start": 230.24, "end": 230.44, "word": " must", "probability": 0.397216796875}, {"start": 230.44, "end": 230.62, "word": " be", "probability": 0.595703125}, {"start": 230.62, "end": 230.94, "word": " drawn", "probability": 0.587890625}, {"start": 230.94, "end": 231.12, "word": " for", "probability": 0.480224609375}, {"start": 231.12, "end": 231.56, "word": " clarification", "probability": 0.763671875}], "temperature": 1.0}, {"id": 9, "seek": 28297, "start": 273.41, "end": 282.97, "text": "the anterior nodal point and the anterior principal point", "tokens": [3322, 22272, 15224, 304, 935, 293, 264, 22272, 9716, 935], "avg_logprob": -0.4229403354904868, "compression_ratio": 1.1875, "no_speech_prob": 0.0, "words": [{"start": 273.41, "end": 273.65, "word": "the", "probability": 0.10205078125}, {"start": 273.65, "end": 274.11, "word": " anterior", "probability": 0.9150390625}, {"start": 274.11, "end": 274.63, "word": " nodal", "probability": 0.95458984375}, {"start": 274.63, "end": 275.17, "word": " point", "probability": 0.9736328125}, {"start": 275.17, "end": 278.03, "word": " and", "probability": 0.40234375}, {"start": 278.03, "end": 281.19, "word": " the", "probability": 0.52978515625}, {"start": 281.19, "end": 281.75, "word": " anterior", "probability": 0.9609375}, {"start": 281.75, "end": 282.31, "word": " principal", "probability": 0.6162109375}, {"start": 282.31, "end": 282.97, "word": " point", "probability": 0.978515625}], "temperature": 1.0}, {"id": 10, "seek": 32913, "start": 306.65, "end": 329.13, "text": "between them there is a distance of 2cm, nodal point, anterior nodal point is 2cm to the right from anterior principal point same thing with posterior nodal point and posterior principal point", "tokens": 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{"id": 11, "seek": 36344, "start": 337.62, "end": 363.44, "text": "each one has its relation with its neighbor anterior with anterior and posterior with posterior this is the posterior principle coming to its right is the posterior nodal point", "tokens": [68, 608, 472, 575, 1080, 9721, 365, 1080, 5987, 22272, 365, 22272, 293, 33529, 365, 33529, 341, 307, 264, 33529, 8665, 1348, 281, 1080, 558, 307, 264, 33529, 15224, 304, 935], "avg_logprob": -0.5190429501235485, "compression_ratio": 1.76, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 337.62, "end": 337.9, "word": "each", "probability": 0.57379150390625}, {"start": 337.9, "end": 338.14, "word": " one", "probability": 0.56884765625}, {"start": 338.14, "end": 338.34, "word": " has", "probability": 0.61572265625}, {"start": 338.34, "end": 338.84, "word": " its", "probability": 0.34130859375}, {"start": 338.84, "end": 338.84, "word": " relation", "probability": 0.4345703125}, {"start": 338.84, "end": 339.38, "word": " with", "probability": 0.485107421875}, {"start": 339.38, "end": 339.58, "word": " its", "probability": 0.66015625}, {"start": 339.58, "end": 339.88, "word": " neighbor", "probability": 0.13427734375}, {"start": 339.88, "end": 341.14, "word": " anterior", "probability": 0.266357421875}, {"start": 341.14, "end": 341.44, "word": " with", "probability": 0.65625}, {"start": 341.44, "end": 341.98, "word": " anterior", "probability": 0.9638671875}, {"start": 341.98, "end": 342.24, "word": " and", "probability": 0.7099609375}, {"start": 342.24, "end": 342.58, "word": " posterior", "probability": 0.833984375}, {"start": 342.58, "end": 343.14, "word": " with", "probability": 0.89990234375}, {"start": 343.14, "end": 343.96, "word": " posterior", "probability": 0.89453125}, {"start": 343.96, "end": 356.74, "word": " this", "probability": 0.5966796875}, {"start": 356.74, "end": 356.82, "word": " is", "probability": 0.84716796875}, {"start": 356.82, "end": 356.88, "word": " the", "probability": 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"text": "بمقدار اتنين سانتي بمقدار اتنين سانتي", "tokens": [3555, 2304, 28543, 9640, 1975, 2655, 1863, 9957, 8608, 7649, 31371, 4724, 2304, 28543, 9640, 1975, 2655, 1863, 9957, 8608, 7649, 31371], "avg_logprob": -0.3794157660525778, "compression_ratio": 1.5, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 368.68, "end": 369.4, "word": "بمقدار", "probability": 0.8282470703125}, {"start": 369.4, "end": 369.88, "word": " اتنين", "probability": 0.859375}, {"start": 369.88, "end": 370.06, "word": " سانتي", "probability": 0.605712890625}, {"start": 370.06, "end": 370.06, "word": " بمقدار", "probability": 0.6945037841796875}, {"start": 370.06, "end": 370.06, "word": " اتنين", "probability": 0.9339599609375}, {"start": 370.06, "end": 370.52, "word": " سانتي", "probability": 0.7137044270833334}], "temperature": 1.0}, {"id": 13, "seek": 40519, "start": 381.37, "end": 405.19, "text": "If we go to a magnified image to explain the picture, from the calculation, we can say that the nodal points, the anterior nodal point, are spread compared to the anterior principal point towards the upper middle density, towards the skin with a volume of 2 cm. Also, the posterior nodal point is spread with a volume of 2 cm towards the upper middle density. So both nodal points", "tokens": [8031, 321, 352, 281, 257, 4944, 2587, 3256, 281, 2903, 264, 3036, 11, 490, 264, 17108, 11, 321, 393, 584, 300, 264, 15224, 304, 2793, 11, 264, 22272, 15224, 304, 935, 11, 366, 3974, 5347, 281, 264, 22272, 9716, 935, 3030, 264, 6597, 2808, 10305, 11, 3030, 264, 3178, 365, 257, 5523, 295, 568, 14668, 13, 2743, 11, 264, 33529, 15224, 304, 935, 307, 3974, 365, 257, 5523, 295, 568, 14668, 3030, 264, 6597, 2808, 10305, 13, 407, 1293, 15224, 304, 2793], "avg_logprob": -0.5975150645497334, "compression_ratio": 1.9487179487179487, "no_speech_prob": 1.043081283569336e-05, "words": [{"start": 381.37, "end": 381.57, "word": "If", "probability": 0.2205810546875}, {"start": 381.57, "end": 381.97, "word": " we", "probability": 0.79052734375}, {"start": 381.97, "end": 381.97, "word": " go", "probability": 0.28466796875}, {"start": 381.97, "end": 382.15, "word": " to", "probability": 0.59765625}, {"start": 382.15, "end": 382.55, "word": " a", "probability": 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"probability": 0.7275390625}, {"start": 399.85, "end": 400.09, "word": " with", "probability": 0.484619140625}, {"start": 400.09, "end": 400.45, "word": " a", "probability": 0.94287109375}, {"start": 400.45, "end": 400.45, "word": " volume", "probability": 0.89892578125}, {"start": 400.45, "end": 400.59, "word": " of", "probability": 0.96240234375}, {"start": 400.59, "end": 400.87, "word": " 2", "probability": 0.953125}, {"start": 400.87, "end": 401.37, "word": " cm", "probability": 0.9140625}, {"start": 401.37, "end": 401.99, "word": " towards", "probability": 0.55517578125}, {"start": 401.99, "end": 402.39, "word": " the", "probability": 0.919921875}, {"start": 402.39, "end": 402.99, "word": " upper", "probability": 0.73779296875}, {"start": 402.99, "end": 403.03, "word": " middle", "probability": 0.87451171875}, {"start": 403.03, "end": 403.41, "word": " density.", "probability": 0.8896484375}, {"start": 403.53, "end": 403.71, "word": " So", "probability": 0.70458984375}, {"start": 403.71, "end": 404.15, "word": " both", "probability": 0.56494140625}, {"start": 404.15, "end": 404.67, "word": " nodal", "probability": 0.98095703125}, {"start": 404.67, "end": 405.19, "word": " points", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 14, "seek": 42221, "start": 405.79, "end": 422.21, "text": "The distance between anterior principal and anterior nodal must be equal to the distance between posterior principal and posterior nodal, which divides the nodal points into principal points", "tokens": [2278, 4560, 1296, 22272, 9716, 293, 22272, 15224, 304, 1633, 312, 2681, 281, 264, 4560, 1296, 33529, 9716, 293, 33529, 15224, 304, 11, 597, 41347, 264, 15224, 304, 2793, 666, 9716, 2793], "avg_logprob": -0.4796401515151515, "compression_ratio": 1.8269230769230769, "no_speech_prob": 1.0728836059570312e-05, "words": [{"start": 405.79, "end": 406.15, "word": "The", "probability": 0.0271453857421875}, {"start": 406.15, "end": 406.39, "word": " distance", "probability": 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1.5497207641601562e-06, "words": [{"start": 424.96, "end": 425.36, "word": "سواء", "probability": 0.6942952473958334}, {"start": 425.36, "end": 425.66, "word": " high", "probability": 0.8486328125}, {"start": 425.66, "end": 425.94, "word": " أو", "probability": 0.6796875}, {"start": 425.94, "end": 426.28, "word": " high", "probability": 0.93212890625}, {"start": 426.28, "end": 426.62, "word": " نفس", "probability": 0.817626953125}, {"start": 426.62, "end": 427.4, "word": " المعادلة", "probability": 0.9842529296875}, {"start": 427.4, "end": 427.94, "word": " ال", "probability": 0.77294921875}, {"start": 427.94, "end": 428.42, "word": " distance", "probability": 0.951171875}, {"start": 428.42, "end": 428.64, "word": " يا", "probability": 0.259765625}, {"start": 428.64, "end": 428.76, "word": " ال", "probability": 0.86767578125}, {"start": 428.76, "end": 429.36, "word": " AFL", "probability": 0.791259765625}, {"start": 429.36, "end": 429.74, "word": " زائد", "probability": 0.84521484375}, {"start": 429.74, "end": 429.88, "word": " ال", "probability": 0.96923828125}, {"start": 429.88, "end": 430.52, "word": " PFL", "probability": 0.799072265625}, {"start": 430.52, "end": 431.32, "word": " كله", "probability": 0.6534423828125}, {"start": 431.32, "end": 432.14, "word": " بإشارته،", "probability": 0.8517252604166666}, {"start": 432.14, "end": 432.4, "word": " كله", "probability": 0.9521484375}, {"start": 432.4, "end": 433.04, "word": " بإشارته", "probability": 0.99072265625}, {"start": 433.04, "end": 433.46, "word": " عندنا", "probability": 0.9658203125}, {"start": 433.46, "end": 433.86, "word": " بتنهي", "probability": 0.823974609375}, {"start": 433.86, "end": 434.3, "word": " المسألة", "probability": 0.9359130859375}, {"start": 434.3, "end": 434.4, "word": " و", "probability": 0.884765625}, {"start": 434.4, "end": 434.8, "word": " يعطيكم", "probability": 0.8709716796875}, {"start": 434.8, "end": 435.2, "word": " العافية", "probability": 0.9560546875}, {"start": 435.2, "end": 435.6, "word": " والسلام", "probability": 0.7313639322916666}, {"start": 435.6, "end": 436.04, "word": " عليكم", "probability": 0.946044921875}, {"start": 436.04, "end": 436.5, "word": " ورحمة", "probability": 0.93701171875}, {"start": 436.5, "end": 436.82, "word": " الله", "probability": 0.96875}, {"start": 436.82, "end": 437.74, "word": " وبركاته", "probability": 0.919921875}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 437.64975, "duration_after_vad": 306.63187500000026} \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mrVlEzCMyYc_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mrVlEzCMyYc_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..299f21fe4be2afb808982dbbeac3152e72b6f3fc --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/mrVlEzCMyYc_raw.srt @@ -0,0 +1,300 @@ +1 +00:00:01,430 --> 00:00:05,290 +بسم الله الرحمن الرحيم عنا مسألة بدنا نحسب البعد + +2 +00:00:05,290 --> 00:00:07,830 +بين ال anterior principal point و ال anterior + +3 +00:00:07,830 --> 00:00:12,550 +nodal point عندي عزسة plus عشرين ديوبتر أمامها ع + +4 +00:00:12,550 --> 00:00:18,490 +الشمال فيه هواء ال N1 و خلفها فيه مادة gel عبارة + +5 +00:00:18,490 --> 00:00:21,250 +عن gel ال refractive index ده هواحد و أربعة من + +6 +00:00:21,250 --> 00:00:24,970 +عشرة طبعا gel شفاف بينفذ الطوء يعني optical medium + +7 +00:00:24,970 --> 00:00:28,650 +بدنا نحسب ال anterior focal length في الأول يساوي + +8 +00:00:28,650 --> 00:00:29,810 +NO + +9 +00:00:31,940 --> 00:00:38,420 +on the power and it's equal to the area where the + +10 +00:00:38,420 --> 00:00:42,420 +object is one on the power plus twenty diopters + +11 +00:00:42,420 --> 00:00:45,920 +and + +12 +00:00:45,920 --> 00:00:52,420 +it's equal to minus because it's on the left one + +13 +00:00:52,420 --> 00:00:54,880 +over twenty means five out of one hundred meters + +14 +00:00:59,690 --> 00:01:02,450 +and it's equal to minus five centimeters minus + +15 +00:01:02,450 --> 00:01:06,630 +five centimeters meters so the anterior focal + +16 +00:01:06,630 --> 00:01:10,090 +length is equal to minus five centimeters now we + +17 +00:01:10,090 --> 00:01:13,030 +have to calculate the posterior focal length PFL + +18 +00:01:13,030 --> 00:01:18,550 +Ni over + +19 +00:01:18,550 --> 00:01:23,890 +the power and it's equal to Ni which is the gel + +20 +00:01:23,890 --> 00:01:28,860 +one and four out of ten on the power plus 20 + +21 +00:01:28,860 --> 00:01:47,360 +diopter which is equal to go to the calculator one + +22 +00:01:47,360 --> 00:01:52,500 +and four out of ten divided by twenty + +23 +00:01:54,750 --> 00:01:59,370 +و هي يساوي سبعة من مية, اذا سبعة صنطي، سبعة من مية + +24 +00:01:59,370 --> 00:02:03,070 +متر + +25 +00:02:03,070 --> 00:02:14,250 +و هي ساوي plus لإنها على اليمين سبعة صنطي الان حسب + +26 +00:02:14,250 --> 00:02:16,610 +ال anterior focal length و ال posterior focal + +27 +00:02:16,610 --> 00:02:22,430 +length، بنقول المسافة ال distancebetween the + +28 +00:02:22,430 --> 00:02:27,250 +anterior principal point and + +29 +00:02:27,250 --> 00:02:30,350 +the anterior nodal point or the distance between + +30 +00:02:30,350 --> 00:02:32,590 +the posterior principal point and the posterior + +31 +00:02:32,590 --> 00:02:42,070 +nodal point is equal to AFL plus BFL all with its + +32 +00:02:42,070 --> 00:02:46,010 +sign and is equal to AFL minus five centimeters + +33 +00:02:46,010 --> 00:02:49,790 +and BFL plus seven centimeters + +34 +00:02:52,310 --> 00:02:57,190 +ويساوي plus اتنين سانتي ويساوي plus اتنين سانتي + +35 +00:02:57,190 --> 00:03:00,150 +ويساوي plus اتنين سانتي ويساوي plus اتنين سانتي + +36 +00:03:00,150 --> 00:03:00,370 +ويساوي plus اتنين سانتي plus اتنين سانتي plus + +37 +00:03:00,370 --> 00:03:00,550 +اتنين سانتي plus اتنين سانتي plus اتنين سانتي plus + +38 +00:03:00,550 --> 00:03:00,630 +اتنين سانتي plus اتنين سانتي plus اتنين سانتي plus + +39 +00:03:00,630 --> 00:03:00,630 +اتنين سانتي plus اتنين سانتي plus اتنين سانتي plus + +40 +00:03:00,630 --> 00:03:00,770 +اتنين سانتي plus اتنين سانتي plus اتنين سانتي plus + +41 +00:03:00,770 --> 00:03:03,050 +اتنين سانتي plus اتنين سانتي plus اتنين سانتي plus + +42 +00:03:03,050 --> 00:03:06,350 +اتنين + +43 +00:03:06,350 --> 00:03:09,470 +سانتي plus اتنين سانتي plus اتنين سانتي plus اتنين + +44 +00:03:09,470 --> 00:03:09,470 +سان + +45 +00:03:49,920 --> 00:03:51,560 +It must be drawn for clarification + +46 +00:04:33,410 --> 00:04:41,190 +the anterior nodal point and the + +47 +00:04:41,190 --> 00:04:42,970 +anterior principal point + +48 +00:05:06,650 --> 00:05:09,090 +between them there is a distance of 2cm, nodal + +49 +00:05:09,090 --> 00:05:13,590 +point, anterior nodal point is 2cm to the right + +50 +00:05:13,590 --> 00:05:23,650 +from anterior principal point same thing with + +51 +00:05:23,650 --> 00:05:28,550 +posterior nodal point and posterior principal + +52 +00:05:28,550 --> 00:05:29,130 +point + +53 +00:05:37,620 --> 00:05:39,880 +each one has its relation with its neighbor + +54 +00:05:39,880 --> 00:05:43,140 +anterior with anterior and posterior with + +55 +00:05:43,140 --> 00:05:56,740 +posterior this + +56 +00:05:56,740 --> 00:05:59,540 +is the posterior principle coming to its right is + +57 +00:05:59,540 --> 00:06:03,440 +the posterior nodal point + +58 +00:06:08,680 --> 00:06:10,520 +بمقدار اتنين سانتي بمقدار اتنين سانتي + +59 +00:06:21,370 --> 00:06:23,890 +If we go to a magnified image to explain the + +60 +00:06:23,890 --> 00:06:26,450 +picture, from the calculation, we can say that the + +61 +00:06:26,450 --> 00:06:30,330 +nodal points, the anterior nodal point, are spread + +62 +00:06:30,330 --> 00:06:33,010 +compared to the anterior principal point towards + +63 +00:06:33,010 --> 00:06:35,770 +the upper middle density, towards the skin with a + +64 +00:06:35,770 --> 00:06:39,570 +volume of 2 cm. Also, the posterior nodal point is + +65 +00:06:39,570 --> 00:06:42,990 +spread with a volume of 2 cm towards the upper + +66 +00:06:42,990 --> 00:06:46,390 +middle density. So both nodal pointsThe distance + +67 +00:06:46,390 --> 00:06:51,150 +between + +68 +00:06:51,150 --> 00:06:54,790 +anterior principal and anterior nodal must be + +69 +00:06:54,790 --> 00:06:56,950 +equal to the distance between posterior principal + +70 +00:06:56,950 --> 00:06:59,970 +and posterior nodal, which divides the nodal + +71 +00:06:59,970 --> 00:07:02,210 +points into principal points + +72 +00:07:04,960 --> 00:07:08,760 +سواء high أو high نفس المعادلة ال distance يا ال + +73 +00:07:08,760 --> 00:07:13,460 +AFL زائد ال PFL كله بإشارته، كله بإشارته عندنا + +74 +00:07:13,460 --> 00:07:16,500 +بتنهي المسألة و يعطيكم العافية والسلام عليكم ورحمة + +75 +00:07:16,500 --> 00:07:17,740 +الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n-vQLCNZx6o_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n-vQLCNZx6o_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..5eb9171989df0aa3ec939e6b38575764e3ef222f --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/n-vQLCNZx6o_raw.srt @@ -0,0 +1,2436 @@ +1 +00:00:02,330 --> 00:00:05,430 +بسم الله الرحمن الرحيم بنواصل محاضرات الـ + +2 +00:00:05,430 --> 00:00:08,910 +Geometric Optics ووصلنا لعند displacement of + +3 +00:00:08,910 --> 00:00:14,550 +images by prisms يعني إزاحة العدسات أو إزاحة الصور + +4 +00:00:14,550 --> 00:00:19,790 +لما نطلع عليها من خلال البرزمات لما نطلع عليها من + +5 +00:00:19,790 --> 00:00:23,860 +خلال البرزماتIf a prism is introduced into the + +6 +00:00:23,860 --> 00:00:28,160 +path of convergent light, all light rays are bent + +7 +00:00:28,160 --> 00:00:30,820 +toward the base of the prism, and the image is + +8 +00:00:30,820 --> 00:00:34,940 +also displaced toward the base of the prism. What + +9 +00:00:34,940 --> 00:00:41,480 +does this mean? This means that if we have an + +10 +00:00:41,480 --> 00:00:45,920 +object, and we have a plus lens, and it forms a + +11 +00:00:45,920 --> 00:00:50,280 +picture at this point that I am pointing at,and we + +12 +00:00:50,280 --> 00:00:54,980 +put a prism in the path of convergent light as we + +13 +00:00:54,980 --> 00:00:58,800 +see now + +14 +00:00:58,800 --> 00:01:13,140 +we put a prism in + +15 +00:01:13,140 --> 00:01:16,000 +the path of convergent light which is going to do + +16 +00:01:16,000 --> 00:01:20,230 +what?The real image I print on the receipt paper + +17 +00:01:20,230 --> 00:01:22,650 +at this point exactly on the head of the marker, + +18 +00:01:23,350 --> 00:01:30,390 +but if I put a prism at this point in the path of + +19 +00:01:30,390 --> 00:01:34,250 +the convergent light, the prism will point all the + +20 +00:01:34,250 --> 00:01:38,810 +convergent rays towards its basetowards its base + +21 +00:01:38,810 --> 00:01:42,370 +So, instead of forming here, it will form here, + +22 +00:01:42,470 --> 00:01:45,130 +but it will stay at the same distance from the + +23 +00:01:45,130 --> 00:01:49,590 +plus lens Meaning that the real image that is + +24 +00:01:49,590 --> 00:01:54,870 +received on a screen or on a receipt paper, A4 + +25 +00:01:54,870 --> 00:01:57,970 +paper or any paper It becomes a projection towards + +26 +00:01:57,970 --> 00:02:00,790 +the base of the prism Okay, if we brought the base + +27 +00:02:00,790 --> 00:02:05,650 +of the prism which means we made it upside down + +28 +00:02:09,180 --> 00:02:11,720 +Sometimes, the image will not be placed here, it + +29 +00:02:11,720 --> 00:02:13,580 +will be placed up towards the base of the image, + +30 +00:02:14,120 --> 00:02:17,120 +which means that the prism always moves the rays + +31 +00:02:17,120 --> 00:02:19,500 +towards the base of the image. We will leave the + +32 +00:02:19,500 --> 00:02:23,120 +base down because the image is marked here that + +33 +00:02:23,120 --> 00:02:25,120 +the rays have fallen down, which means that the + +34 +00:02:25,120 --> 00:02:31,380 +prism moves the rays towards the base of the + +35 +00:02:31,380 --> 00:02:33,800 +image. This is a practical experiment using laser. + +36 +00:02:33,900 --> 00:02:39,480 +This is the incoming laser light.entered from this + +37 +00:02:39,480 --> 00:02:42,800 +surface of the prism, this is the base and this is + +38 +00:02:42,800 --> 00:02:45,880 +the apex, the base is directed away from us and + +39 +00:02:45,880 --> 00:02:48,560 +the apex is towards us, the laser light when it + +40 +00:02:48,560 --> 00:02:50,380 +entered from the surface, it came out from the + +41 +00:02:50,380 --> 00:02:52,660 +other surface directed towards the base, towards + +42 +00:02:52,660 --> 00:02:57,980 +the side where the base is, so this case should be + +43 +00:02:57,980 --> 00:03:04,080 +clear God willingالان صحيح الأشعة بتنحرف باتجاه ال + +44 +00:03:04,080 --> 00:03:09,100 +base بال real image ال real image بتلقاها باتجاه + +45 +00:03:09,100 --> 00:03:14,560 +ال base تلقي على ورقة التلقي بس لو أنا اتخيلت أنه + +46 +00:03:14,560 --> 00:03:19,240 +بدل ورقة التلقي عيني هي اللي هتتلقى الصورة يعني + +47 +00:03:19,240 --> 00:03:22,860 +بمعنى أخر ورقة التلقي هتكون هي الشبكية بتاعت عيني + +48 +00:03:22,860 --> 00:03:28,410 +هيكون الأشعة جاية من أعلى لأسفل في هذه الناحيةIf + +49 +00:03:28,410 --> 00:03:42,830 +we imagine the human eye here, then if .. + +50 +00:03:42,830 --> 00:03:48,990 +If we imagine the human eye here, and it is + +51 +00:03:48,990 --> 00:03:54,110 +looking at .. + +52 +00:03:54,110 --> 00:03:56,390 +we have to draw with other colors + +53 +00:04:01,060 --> 00:04:04,180 +On the basis that I have the white color here + +54 +00:04:41,830 --> 00:04:44,810 +So the rays will come to the inferior retina and + +55 +00:04:44,810 --> 00:04:47,410 +will appear to this eye as if it came from above, + +56 +00:04:47,690 --> 00:04:49,810 +as if it came along the length of the rays coming + +57 +00:04:49,810 --> 00:04:53,400 +out of the prismWhy? Because of the connected + +58 +00:04:53,400 --> 00:04:55,880 +lines, not the dotted lines That came out of the + +59 +00:04:55,880 --> 00:04:57,820 +prism as a result of being directed towards the + +60 +00:04:57,820 --> 00:05:01,940 +base The person will see it on its extension As if + +61 +00:05:01,940 --> 00:05:05,120 +the object is here As if the object is here, + +62 +00:05:05,220 --> 00:05:08,720 +therefore we see the image towards the apex + +63 +00:05:08,720 --> 00:05:12,340 +Towards the apex, although the rays that are going + +64 +00:05:12,340 --> 00:05:14,720 +to form the image If on the reception paper, we + +65 +00:05:14,720 --> 00:05:17,970 +will find it towards the baseIt's like a ray of + +66 +00:05:17,970 --> 00:05:19,810 +light going to the base, but our perception of the + +67 +00:05:19,810 --> 00:05:23,010 +image as a ray of light, in another sense, we will + +68 +00:05:23,010 --> 00:05:25,290 +see it as if it is in the vacuum in this region, + +69 +00:05:25,590 --> 00:05:29,230 +because if we move these rays back, the image will + +70 +00:05:29,230 --> 00:05:32,010 +appear as if it came from here. So the imaginary + +71 +00:05:32,010 --> 00:05:37,210 +image that we feel is towards the apex of the + +72 +00:05:37,210 --> 00:05:41,070 +prism, and the real image that we perceive is + +73 +00:05:41,070 --> 00:05:44,090 +towards the base of the prism. Which is the real + +74 +00:05:44,090 --> 00:05:46,370 +image? The real image that I have created for + +75 +00:05:46,370 --> 00:05:49,300 +Blast Lens,It was supposed to be formed here on + +76 +00:05:49,300 --> 00:05:51,440 +the optical axis because the object came from the + +77 +00:05:51,440 --> 00:05:55,020 +optical axis. So it was supposed to be formed on + +78 +00:05:55,020 --> 00:05:58,100 +the optical axis. When we put the prism, the prism + +79 +00:05:58,100 --> 00:06:01,600 +turned all the rays towards its base. So when we + +80 +00:06:01,600 --> 00:06:04,380 +put the receipt paper, the image, the real image + +81 +00:06:04,380 --> 00:06:08,360 +of this object will form towards the base of the + +82 +00:06:08,360 --> 00:06:11,980 +prism. If we remove the receipt paper and look at + +83 +00:06:11,980 --> 00:06:14,260 +the image of the object through the prism, that + +84 +00:06:14,260 --> 00:06:17,340 +is, we hold the prism in this way, base down.In + +85 +00:06:17,340 --> 00:06:19,260 +front of our eyes and we look with our eyes at + +86 +00:06:19,260 --> 00:06:21,580 +this object, we will find the object as if it is + +87 +00:06:21,580 --> 00:06:24,080 +not in its place here, but at the top Why at the + +88 +00:06:24,080 --> 00:06:26,540 +top? Because of the number of rays that come from + +89 +00:06:26,540 --> 00:06:30,080 +the prism because we look through the prism, + +90 +00:06:30,120 --> 00:06:32,660 +through the prism Here is another example that + +91 +00:06:32,660 --> 00:06:35,520 +explains this point I have an object that is the + +92 +00:06:35,520 --> 00:06:40,460 +letter A I want to look at this object through the + +93 +00:06:40,460 --> 00:06:43,680 +prism We say as follows The light of the room fell + +94 +00:06:43,680 --> 00:06:50,150 +on the object Aturned from object A towards the + +95 +00:06:50,150 --> 00:06:54,190 +prism, the prism turned the rays coming from + +96 +00:06:54,190 --> 00:06:58,790 +object A towards its base towards its base if I + +97 +00:06:58,790 --> 00:07:01,850 +want to look at the letter A, of course the rays + +98 +00:07:01,850 --> 00:07:04,350 +are high, when the letter is towards the base, I + +99 +00:07:04,350 --> 00:07:06,570 +will see it as if it is coming along the + +100 +00:07:06,570 --> 00:07:09,740 +wavelength outside the prismmeans what will appear + +101 +00:07:09,740 --> 00:07:11,740 +to them, this is the image and this is considered + +102 +00:07:11,740 --> 00:07:15,620 +a virtual image, virtual image means not a real + +103 +00:07:15,620 --> 00:07:19,320 +picture but a fantastic picture that we felt up + +104 +00:07:19,320 --> 00:07:25,640 +towards the apex because we see anythingعلى امتداد + +105 +00:07:25,640 --> 00:07:28,920 +الأشعع اللي وصلت عنا الاشعع اللي وصلت عنا هي اللي + +106 +00:07:28,920 --> 00:07:31,980 +خرجت من ال Prism واللي خرجت من ال Prism خرجت + +107 +00:07:31,980 --> 00:07:35,580 +باتجاه ال base طيب باتجاه ال base يعني جاية من فوق + +108 +00:07:35,580 --> 00:07:40,200 +لتحت هنشوف احنا في هذا المثال طبعا هنشوف الصورة + +109 +00:07:40,200 --> 00:07:43,640 +وكأنها يعني جاية في الأعلى على امتداد هذا الشعاع + +110 +00:07:43,640 --> 00:07:48,260 +اللي خارج من ال Prism اللي خارج من ال Prism in + +111 +00:07:48,260 --> 00:07:51,460 +this case the image is real إذا طلقناها إذا + +112 +00:07:51,460 --> 00:07:57,980 +طلقناها على يعني ورق التلقى، هنتلقى الصورة + +113 +00:07:57,980 --> 00:08:04,360 +الحقيقية باتجاه ال base, باتجاه ال base And real + +114 +00:08:04,360 --> 00:08:08,220 +images are displaced to where the base of the + +115 +00:08:08,220 --> 00:08:08,480 +prism + +116 +00:08:12,190 --> 00:08:15,990 +If we turn the light around making the image the + +117 +00:08:15,990 --> 00:08:18,630 +object and view the object through the prism, we + +118 +00:08:18,630 --> 00:08:21,890 +will see the virtual image of the object. The + +119 +00:08:21,890 --> 00:08:24,370 +object being viewed through the prism appears + +120 +00:08:24,370 --> 00:08:26,590 +displaced towards the apex of the prism. + +121 +00:08:32,050 --> 00:08:35,630 +If I leave the image and put the object in its + +122 +00:08:35,630 --> 00:08:39,190 +place and I click on the other side, the object + +123 +00:08:39,190 --> 00:08:42,830 +emits a divergent radiation that enters the prism + +124 +00:08:42,830 --> 00:08:48,480 +and now it forms a pictureThe rays will be + +125 +00:08:48,480 --> 00:08:50,720 +directed towards the base, so it will show the + +126 +00:08:50,720 --> 00:08:53,660 +object higher than what it is because it will be + +127 +00:08:53,660 --> 00:08:55,800 +on the extent of the rays that came out of the + +128 +00:08:55,800 --> 00:08:59,020 +prism, as we said a while ago So this image that I + +129 +00:08:59,020 --> 00:09:03,020 +see is the virtual image, which is always towards + +130 +00:09:03,020 --> 00:09:06,080 +the apex So the real image that I get on paper + +131 +00:09:06,080 --> 00:09:08,640 +that came out of the prism, of course the prism + +132 +00:09:08,640 --> 00:09:13,150 +does not make an image at allThe prism changes the + +133 +00:09:13,150 --> 00:09:15,050 +location of the real image, what makes the real + +134 +00:09:15,050 --> 00:09:18,350 +image is the plus lens or the lens of the eye, + +135 +00:09:18,490 --> 00:09:21,650 +which is the cornea and the crystalline lens In + +136 +00:09:21,650 --> 00:09:24,670 +general, the convergent light that is going to + +137 +00:09:24,670 --> 00:09:27,550 +form a real image, if placed in the path of the + +138 +00:09:27,550 --> 00:09:30,600 +convergent light, the prismAnd it will point + +139 +00:09:30,600 --> 00:09:33,760 +towards the base of the librism. If the base is + +140 +00:09:33,760 --> 00:09:36,340 +down, the image will point down, but at the same + +141 +00:09:36,340 --> 00:09:39,320 +distance. If the image is up, the image will point + +142 +00:09:39,320 --> 00:09:45,100 +up. If the base is up, if I put the base of the + +143 +00:09:45,100 --> 00:09:47,480 +librism on the right, the image will point to the + +144 +00:09:47,480 --> 00:09:48,800 +right towards the base. + +145 +00:09:51,900 --> 00:09:53,800 +It does not change the distance of the image, but + +146 +00:09:53,800 --> 00:09:56,520 +it changes its location only on the same distance + +147 +00:09:56,520 --> 00:09:58,620 +because it does not have refractive power, but it + +148 +00:09:58,620 --> 00:10:02,460 +has deviating power, deviating power. Of course, + +149 +00:10:03,020 --> 00:10:06,100 +this is the real image. Well, if I want to see the + +150 +00:10:06,100 --> 00:10:11,490 +object throughThrough Librism, I will see the + +151 +00:10:11,490 --> 00:10:14,770 +number of rays coming out of the Librism. The rays + +152 +00:10:14,770 --> 00:10:16,690 +coming from the object coming out of the Librism. + +153 +00:10:16,850 --> 00:10:20,510 +In this case, the image will be virtual, not real. + +154 +00:10:20,850 --> 00:10:23,330 +I will see it towards the apex. I will see it + +155 +00:10:23,330 --> 00:10:26,610 +towards the apex. As the picture here shows. + +156 +00:10:29,890 --> 00:10:33,890 +إذن the object being viewed through the prism + +157 +00:10:33,890 --> 00:10:36,990 +appears displaced with the apex of the prism هو + +158 +00:10:36,990 --> 00:10:41,650 +حقيقة أي شيء بشوفه من خلال ال prism دائما بلاقي + +159 +00:10:41,650 --> 00:10:45,170 +صورته من حرفة باتجاه ال apex ليش؟ لأن الأشعة + +160 +00:10:45,170 --> 00:10:48,210 +الخارجة من ال prism من حرفة باتجاه ال base + +161 +00:10:53,870 --> 00:10:58,110 +In general, تلخيصا للكلام اللي .. اللي حكيناه + +162 +00:10:58,110 --> 00:11:01,870 +الآن, virtual images are displaced toward the apex + +163 +00:11:01,870 --> 00:11:05,810 +of the prism although light rays themselves are + +164 +00:11:05,810 --> 00:11:09,070 +bent toward the base يعني ال virtual image اللي + +165 +00:11:09,070 --> 00:11:13,290 +أنا بشوفها من خلال ال prism بتكون منحرفة أو جاية + +166 +00:11:13,290 --> 00:11:17,310 +باتجاه ال apexdespite the fact that the light ray + +167 +00:11:17,310 --> 00:11:21,670 +itself is directed towards the base directed + +168 +00:11:21,670 --> 00:11:25,070 +towards the base as the picture here clearly shows + +169 +00:11:25,070 --> 00:11:29,470 +this is the object that I want to look at the rays + +170 +00:11:29,470 --> 00:11:31,750 +themselves that are out of the object of course + +171 +00:11:31,750 --> 00:11:36,370 +here the arrow is wrong in drawing the arrow which + +172 +00:11:36,370 --> 00:11:38,290 +is the light ray that came out of the object it + +173 +00:11:38,290 --> 00:11:40,910 +should go towards the eye through the prism the + +174 +00:11:40,910 --> 00:11:42,850 +rays will enter the prism and will be directed + +175 +00:11:42,850 --> 00:11:46,780 +towards the base of the prismالعين هتتلقى هذه + +176 +00:11:46,780 --> 00:11:50,380 +الأشعة و هتتخيل أنه ال object في الموقع هذا على + +177 +00:11:50,380 --> 00:11:54,220 +امتداد اللي هو الأشعة اللي خارجها من الprism + +178 +00:11:58,650 --> 00:12:01,850 +The images we see when looking through prisms is + +179 +00:12:01,850 --> 00:12:07,470 +always virtual images هذه قاعدة يعني لا استفاقات + +180 +00:12:07,470 --> 00:12:11,950 +لها، كل شيء بن .. بنشوفه من خلال ال prism، بنشوفه + +181 +00:12:11,950 --> 00:12:16,870 +باتجاه ال apex، باتجاه ال apex، دائما و دائما هو + +182 +00:12:16,870 --> 00:12:21,330 +virtual image، دائما virtual imageThis phenomenon, + +183 +00:12:21,570 --> 00:12:24,330 +هذه الظاهرة is the source of common teaching that + +184 +00:12:24,330 --> 00:12:28,050 +a prism displaced .. او displaces image towards + +185 +00:12:28,050 --> 00:12:34,170 +its apex يعني هذا الكلام اللي شرحناه قبل شوية هو + +186 +00:12:34,170 --> 00:12:39,390 +السر فيه انه كل المعلومات الماضية في المدارس و هذا + +187 +00:12:39,390 --> 00:12:45,350 +انه دائما المنشور بيحرف الصورة باتجاه ال apex + +188 +00:12:45,350 --> 00:12:49,410 +بتاعته .. باتجاه ال apex بتاعتهSo that's why this + +189 +00:12:49,410 --> 00:12:52,150 +.. why? Because we see the virtual image that + +190 +00:12:52,150 --> 00:12:56,670 +really looks like it deviated it were the apex of + +191 +00:12:56,670 --> 00:13:00,930 +depression Okay, today or now we will enter into a + +192 +00:13:00,930 --> 00:13:04,670 +very important topic which is the prismatic effect + +193 +00:13:04,670 --> 00:13:08,510 +of lenses Prismatic effect of lenses means the + +194 +00:13:08,510 --> 00:13:11,230 +spherical lenses, the plus lens and the minus lens + +195 +00:13:11,230 --> 00:13:14,790 +Does it have a printed effect or does not have a + +196 +00:13:14,790 --> 00:13:18,900 +printed effect?حقيقة كل العدسات ال spherical + +197 +00:13:18,900 --> 00:13:22,640 +lenses وحتى ال sphere و cylindrical lenses لها + +198 +00:13:22,640 --> 00:13:26,800 +تأثير منشوري Aspherical lens behaves like a prism + +199 +00:13:26,800 --> 00:13:31,180 +at every point on its surface except at its + +200 +00:13:31,180 --> 00:13:35,020 +optical center مامعنى هذا الكلام يعني لو عندي أنا + +201 +00:13:35,020 --> 00:13:43,840 +عدسة سفير نخد الرسمة هاي مثلا عدسة سفيرThis plus + +202 +00:13:43,840 --> 00:13:46,560 +lens, for example, its power is 5 diopters, 10 + +203 +00:13:46,560 --> 00:13:50,180 +diopters, any power whether it is plus or minus In + +204 +00:13:50,180 --> 00:13:54,440 +each point of its point, it works as a lens and + +205 +00:13:54,440 --> 00:13:57,420 +also works as a prism, as a printout What is + +206 +00:13:57,420 --> 00:14:00,640 +missing in its optical center does not work as a + +207 +00:14:00,640 --> 00:14:04,760 +lens and does not work as a printout It does not + +208 +00:14:04,760 --> 00:14:08,200 +have a printout effect So at this point and this + +209 +00:14:08,200 --> 00:14:10,600 +point and this point and this point and this point + +210 +00:14:10,600 --> 00:14:13,510 +and this point and this pointكل نقاط at every + +211 +00:14:13,510 --> 00:14:16,910 +point ماعادة في ال optical center ماعادة في ال + +212 +00:14:16,910 --> 00:14:20,790 +optical center ال spherical lens سواء plus أو + +213 +00:14:20,790 --> 00:14:26,690 +minus بتعمل كعدسة كمنشور هي عدسة حقيقة و بتعمل + +214 +00:14:26,690 --> 00:14:34,350 +أيضا كمنشورأو ما هي النقطة التي لا يوجد تأثير + +215 +00:14:34,350 --> 00:14:38,510 +منشوري فيها للعدسة ال optical center ال optical + +216 +00:14:38,510 --> 00:14:42,790 +center is an aspherical lens behaves تتصرف أو تسلك + +217 +00:14:42,790 --> 00:14:47,570 +like a prism كإنها منشور at every point on its + +218 +00:14:47,570 --> 00:14:56,230 +surface except at its optical center in + +219 +00:14:56,230 --> 00:15:01,810 +glass lenses the prism powerBends light rays away + +220 +00:15:01,810 --> 00:15:05,290 +from the optical axis. In minus lenses, the light + +221 +00:15:05,290 --> 00:15:09,250 +bends away from the optical axis. Let's see what + +222 +00:15:09,250 --> 00:15:14,730 +this means. In fact, the plus lens is written + +223 +00:15:19,400 --> 00:15:22,340 +Based to base means the base of the article at the + +224 +00:15:22,340 --> 00:15:26,460 +top in the drawing here is attached to the base of + +225 +00:15:26,460 --> 00:15:29,240 +the article at the bottom which is the base of the + +226 +00:15:29,240 --> 00:15:30,980 +article which is at the top so two articles are + +227 +00:15:30,980 --> 00:15:33,600 +based to base and the minus lens is the opposite + +228 +00:15:33,600 --> 00:15:36,960 +two articles are attached addex to addex this is + +229 +00:15:36,960 --> 00:15:40,120 +the minus lens and this is the plus lens it is + +230 +00:15:40,120 --> 00:15:43,420 +known that the rays that enter the article are + +231 +00:15:43,420 --> 00:15:46,680 +directedin the direction of its base. The ray + +232 +00:15:46,680 --> 00:15:50,140 +enters the point at the top in the direction of + +233 +00:15:50,140 --> 00:15:53,840 +its base. And this is also in the direction of the + +234 +00:15:53,840 --> 00:15:57,440 +base, which is coming up. Therefore, in the group + +235 +00:15:57,440 --> 00:16:00,920 +of this lens, the rays rotate in the direction of + +236 +00:16:00,920 --> 00:16:03,280 +the optical axis. This is the optical axis in + +237 +00:16:03,280 --> 00:16:06,620 +green color. Here, it is the opposite. Here, the + +238 +00:16:06,620 --> 00:16:10,180 +rays rotate in the direction of the base.And here + +239 +00:16:10,180 --> 00:16:13,240 +the rays are directed towards the base, so the + +240 +00:16:13,240 --> 00:16:15,680 +result is that the lens as a whole directs the + +241 +00:16:15,680 --> 00:16:20,620 +rays away from the optical axis And here, whether + +242 +00:16:20,620 --> 00:16:23,700 +the first, second, third and fourth example, + +243 +00:16:24,020 --> 00:16:26,480 +always the rays are directed towards the base of + +244 +00:16:26,480 --> 00:16:29,320 +the marker So if the base is away from the optical + +245 +00:16:29,320 --> 00:16:31,900 +axis, it means that the lens directs the rays away + +246 +00:16:31,900 --> 00:16:34,740 +from the optical axis, or as we used to say a long + +247 +00:16:34,740 --> 00:16:38,310 +time ago, deflects themIf the base of the pointer + +248 +00:16:38,310 --> 00:16:41,410 +is near or coming to the optical axis, then the + +249 +00:16:41,410 --> 00:16:45,030 +rays will move towards the optical axis and this + +250 +00:16:45,030 --> 00:16:47,990 +is the secret of the sentence that in plus lenses, + +251 +00:16:48,190 --> 00:16:52,310 +the prism power bends, light rays towards the + +252 +00:16:52,310 --> 00:16:55,450 +optical axis and in minus lenses, the light bends + +253 +00:16:55,450 --> 00:16:58,730 +away from the optical axis Now there is a question + +254 +00:16:58,730 --> 00:17:03,040 +that raises itself, we saidIt means that the lens + +255 +00:17:03,040 --> 00:17:08,660 +acts as a lens and also as a pointer in every + +256 +00:17:08,660 --> 00:17:11,620 +point of a point I mean, at the point Sin, Sad, + +257 +00:17:11,780 --> 00:17:15,660 +Ain, Lam, Alif, Bawa, etc. Okay? And here it's the + +258 +00:17:15,660 --> 00:17:18,960 +same thing You see, if we take a sample from us, + +259 +00:17:19,880 --> 00:17:22,020 +the sample is a point + +260 +00:17:32,410 --> 00:17:42,330 +I have these points, but let's color + +261 +00:17:42,330 --> 00:17:53,550 +them with different colors to + +262 +00:17:53,550 --> 00:17:54,430 +make things clear + +263 +00:18:09,280 --> 00:18:27,160 +مش واضح كتير اوضح + +264 +00:18:27,160 --> 00:18:27,620 +شوية + +265 +00:18:43,110 --> 00:18:52,170 +These are samples So + +266 +00:18:52,170 --> 00:18:58,890 +that we can reach + +267 +00:18:58,890 --> 00:19:00,530 +the idea that we want to clarify + +268 +00:19:13,940 --> 00:19:16,420 +This applies to the plus lens and to the minus + +269 +00:19:16,420 --> 00:19:24,400 +lens It took us four points on the + +270 +00:19:24,400 --> 00:19:27,000 +plus lens and also this applies to the minus lens + +271 +00:19:27,000 --> 00:19:30,680 +If we ask a question, the point is this, and this + +272 +00:19:30,680 --> 00:19:35,110 +point, and this point, and this pointقولنا العدسة + +273 +00:19:35,110 --> 00:19:39,410 +عند هذه النقاط بتشتغل و عند أي نقطة بتشتغل كمنشور + +274 +00:19:39,410 --> 00:19:42,730 +بالإضافة لشغلها كعدسة، إيش يعني كمنشور؟ يعني + +275 +00:19:42,730 --> 00:19:46,790 +بتتصرف كإنها منشور، يعني ال light ray اللي هيعدي + +276 +00:19:46,790 --> 00:19:51,400 +من النقطة هاي، هيكون عدة من منشورand the light ray + +277 +00:19:51,400 --> 00:19:53,640 +that will pass through this point will pass + +278 +00:19:53,640 --> 00:19:55,780 +through the lens of course in addition to passing + +279 +00:19:55,780 --> 00:19:57,460 +through the lens and here the same thing and here + +280 +00:19:57,460 --> 00:20:00,080 +the same thing the lens does not act as a + +281 +00:20:00,080 --> 00:20:02,760 +magnifying glass when it passes through the + +282 +00:20:02,760 --> 00:20:07,180 +optical center only okay now the question that he + +283 +00:20:07,180 --> 00:20:10,220 +wants to ask himself is the force of the + +284 +00:20:10,220 --> 00:20:12,730 +magnifying glass hereIs it the same force that is + +285 +00:20:12,730 --> 00:20:14,830 +written here? Is it the same force that is written + +286 +00:20:14,830 --> 00:20:16,690 +here? Is it the same force that is written here? + +287 +00:20:17,230 --> 00:20:20,850 +Is it the same force that is written here? Or is + +288 +00:20:20,850 --> 00:20:25,310 +there a difference in the force that is written to + +289 +00:20:25,310 --> 00:20:28,290 +the different points near and far from the optical + +290 +00:20:28,290 --> 00:20:31,430 +axis?This is the secret of the title of this + +291 +00:20:31,430 --> 00:20:34,490 +lecture Prismatic Effect of Lenses Prismatic + +292 +00:20:34,490 --> 00:20:38,870 +Effect of Lenses which is the printed effect of + +293 +00:20:38,870 --> 00:20:42,310 +the lenses which is plus and minus So to know + +294 +00:20:42,310 --> 00:20:47,590 +this, we need to say as follows The lens acts as + +295 +00:20:47,590 --> 00:20:51,490 +if it is printed in all its points except for one + +296 +00:20:51,490 --> 00:20:57,490 +point which is the optical center So we need to + +297 +00:20:57,490 --> 00:21:01,680 +imagine that we have a beamlight ray, this light + +298 +00:21:01,680 --> 00:21:04,480 +ray passed through the point C, which I am + +299 +00:21:04,480 --> 00:21:08,500 +pointing at exactly, this point, which has the + +300 +00:21:08,500 --> 00:21:14,620 +arrow of the mouse, so it deviated and entered FB. + +301 +00:21:14,700 --> 00:21:17,920 +Why did it enter FB? If we remember that the light + +302 +00:21:17,920 --> 00:21:20,340 +ray that is parallel to the optical axis in the + +303 +00:21:20,340 --> 00:21:24,600 +plus lensParallel to the optical axis, it will + +304 +00:21:24,600 --> 00:21:27,760 +enter FB after exiting the lens Okay, it entered + +305 +00:21:27,760 --> 00:21:32,520 +FB and stayed straight ahead to meet with another + +306 +00:21:32,520 --> 00:21:36,420 +beam and form the image Okay, if the lens is not + +307 +00:21:36,420 --> 00:21:43,300 +present, this beam will keep moving in a straight + +308 +00:21:43,300 --> 00:21:47,720 +way to infinity Okay, we will come to a distance + +309 +00:21:47,720 --> 00:21:52,270 +of 100 cm from the lensونقول يا ترى كام صنطي + +310 +00:21:52,270 --> 00:21:55,590 +الشعاع انحرف عن طريقه الأساسي هذا الطريق الأساسي + +311 +00:21:55,590 --> 00:22:01,390 +اللي كان مفترض ياخده اللي كان مفترض يضله عليه او + +312 +00:22:01,390 --> 00:22:06,630 +ياخده إذا العدسة مش موجودة فبنقول احنا مثلا عدد من + +313 +00:22:06,630 --> 00:22:09,830 +الصنطيات هذه العدد من الصنطيات يساوي ال prism ده + +314 +00:22:09,830 --> 00:22:13,990 +يبتر وكأنه هنا واقف ال prismIt has a certain power + +315 +00:22:13,990 --> 00:22:15,970 +that is equal to the number of protons that is + +316 +00:22:15,970 --> 00:22:17,790 +equal to the radius of the lens We said that the + +317 +00:22:17,790 --> 00:22:20,770 +lens is considered to be marked in every point + +318 +00:22:20,770 --> 00:22:25,010 +except the optical center Except the optical + +319 +00:22:25,010 --> 00:22:27,450 +center Well, the rays did not enter the optical + +320 +00:22:27,450 --> 00:22:29,650 +center, so they entered a point This point is + +321 +00:22:29,650 --> 00:22:33,490 +considered to be a lens as it is marked How much + +322 +00:22:33,490 --> 00:22:36,870 +is the force of the mark at this point? In order + +323 +00:22:36,870 --> 00:22:39,130 +to know how much is the force of the mark at this + +324 +00:22:39,130 --> 00:22:43,150 +pointIn the lens, the publishing force at this + +325 +00:22:43,150 --> 00:22:45,930 +point, we want to see at a distance of 100 cm, how + +326 +00:22:45,930 --> 00:22:50,730 +many centimeters the rays have deviated. Here, if + +327 +00:22:50,730 --> 00:22:52,630 +it is 2 cm, it means that the publishing force + +328 +00:22:52,630 --> 00:22:56,030 +here is 2 Prism Diopter. If it is 10 cm, it means + +329 +00:22:56,030 --> 00:22:57,930 +that it is 10 Prism Diopter. It is the number of + +330 +00:22:57,930 --> 00:23:02,410 +centimeters that the beam is away from its + +331 +00:23:02,410 --> 00:23:05,050 +original path. Where do I measure it? At a + +332 +00:23:05,050 --> 00:23:06,990 +distance of 100 cm. I measure it at a distance of + +333 +00:23:06,990 --> 00:23:10,040 +100 cm. So this distance is 100 cm.and this + +334 +00:23:10,040 --> 00:23:13,340 +distance is represented by the prism diopter if we + +335 +00:23:13,340 --> 00:23:16,140 +say 3 prism it means this distance is 3 cm, 10 + +336 +00:23:16,140 --> 00:23:23,300 +prism means 10 cm, 5 prism means 5 cm now this + +337 +00:23:23,300 --> 00:23:25,680 +point where the light rail entered which is + +338 +00:23:25,680 --> 00:23:29,060 +parallel to the optical axis moves away from the + +339 +00:23:29,060 --> 00:23:35,780 +optical center to HH is drawn here, but to + +340 +00:23:35,780 --> 00:23:39,140 +clarify, this distance is the same as this + +341 +00:23:39,140 --> 00:23:42,640 +distance. This distance from the point C where the + +342 +00:23:42,640 --> 00:23:48,080 +ray entered, is away from + +343 +00:23:48,080 --> 00:23:52,580 +the optical center of the lens. Now let's go to + +344 +00:23:52,580 --> 00:23:54,200 +this drawing, but in another way. + +345 +00:24:00,520 --> 00:24:04,080 +It's the same drawing, but we colored this + +346 +00:24:04,080 --> 00:24:07,740 +triangle with a certain color One of them is one + +347 +00:24:07,740 --> 00:24:09,520 +hundred centimeters, and the other one is the + +348 +00:24:09,520 --> 00:24:12,300 +number of centimeters equal to the Prism of the + +349 +00:24:12,300 --> 00:24:15,920 +Diopter or the force of the force exerted on this + +350 +00:24:15,920 --> 00:24:23,120 +point This distance is h, this distanceone over + +351 +00:24:23,120 --> 00:24:25,100 +the diopter which is the focal, the distance of + +352 +00:24:25,100 --> 00:24:28,040 +the pupil behind one over the diopter if I want in + +353 +00:24:28,040 --> 00:24:31,300 +meters but I have here all centimeters so one + +354 +00:24:31,300 --> 00:24:34,040 +hundred centimeters over this this distance equals + +355 +00:24:34,040 --> 00:24:35,540 +one hundred centimeters over this that is, if we + +356 +00:24:35,540 --> 00:24:39,660 +say this lens plus five diopters its pupil if it + +357 +00:24:39,660 --> 00:24:43,940 +is in the air is one over five and equals five + +358 +00:24:43,940 --> 00:24:46,040 +meters of course I want to go with the centimeter + +359 +00:24:46,040 --> 00:24:49,450 +we say one hundred centimeters over thisand it's + +360 +00:24:49,450 --> 00:24:51,670 +equal to 20 cm, it's the same thing, it's the same + +361 +00:24:51,670 --> 00:24:56,450 +thing, so this distance is h, the angle of the + +362 +00:24:56,450 --> 00:25:00,790 +blue triangle that we see, this angle is h, and + +363 +00:25:00,790 --> 00:25:05,970 +this angle is 100 cm over D, this angle of the + +364 +00:25:05,970 --> 00:25:09,990 +pentagon is 100 cm, and this angle is represented + +365 +00:25:09,990 --> 00:25:13,410 +by the letter Libra, okay, now we come to + +366 +00:25:18,010 --> 00:25:20,090 +We want to take the drawing and make it smaller + +367 +00:25:20,090 --> 00:25:24,050 +and + +368 +00:25:24,050 --> 00:25:27,750 +go + +369 +00:25:27,750 --> 00:25:32,230 +to the equations make + +370 +00:25:32,230 --> 00:25:38,830 +it smaller at the end and take what is not + +371 +00:25:38,830 --> 00:25:39,590 +necessary from it + +372 +00:25:52,720 --> 00:26:00,880 +and transfer it here then exit, it didn't show up + +373 +00:26:00,880 --> 00:26:02,280 +and maybe it wants to... + +374 +00:26:51,620 --> 00:26:52,240 +Okay, + +375 +00:26:55,040 --> 00:27:01,640 +then we + +376 +00:27:01,640 --> 00:27:06,720 +just need to say that this angle in the triangle + +377 +00:27:06,720 --> 00:27:11,500 +of the column of the angle is equal to this angle + +378 +00:27:11,500 --> 00:27:14,780 +in the triangle of the column of the angle by + +379 +00:27:14,780 --> 00:27:16,480 +alternation + +380 +00:27:20,010 --> 00:27:22,530 +The angle of this angle is equal to the angle of + +381 +00:27:22,530 --> 00:27:27,590 +this angle Let's see how it works The angle of + +382 +00:27:27,590 --> 00:27:31,310 +this angle is equal to the angle of this angle The + +383 +00:27:31,310 --> 00:27:34,610 +angle of this angle is equivalent to the + +384 +00:27:34,610 --> 00:27:38,110 +circumference The equivalent is H and the + +385 +00:27:38,110 --> 00:27:42,990 +circumference is 100 cm over D So H over 100 cm + +386 +00:27:42,990 --> 00:27:46,550 +over D is equal to the angle of this angle which + +387 +00:27:46,550 --> 00:27:50,580 +is equivalent to the number of prism diopterson + +388 +00:27:50,580 --> 00:27:53,380 +100 cm, the opposite on the adjacent, so the + +389 +00:27:53,380 --> 00:27:56,360 +opposite on the adjacent is equal to the opposite + +390 +00:27:56,360 --> 00:27:59,320 +on the adjacent, why? Because these are + +391 +00:27:59,320 --> 00:28:01,600 +contradictory triples, that is, their angles are + +392 +00:28:01,600 --> 00:28:03,980 +equal, so this angle is equal to this angle by + +393 +00:28:03,980 --> 00:28:07,420 +alternation, since they are equal, then this + +394 +00:28:07,420 --> 00:28:09,380 +shadow is equal to this shadow, then what is this + +395 +00:28:09,380 --> 00:28:13,220 +shadow? H on 100 cm on D, and what is this shadow? + +396 +00:28:14,580 --> 00:28:19,720 +Librism on 100 cm. So, H on 100 cm on D is equal + +397 +00:28:19,720 --> 00:28:27,960 +to Librism on 100 cm Ok, let's take this case and + +398 +00:28:27,960 --> 00:28:37,960 +say as usual We + +399 +00:28:37,960 --> 00:28:39,260 +want to solve this case + +400 +00:28:45,100 --> 00:28:46,840 +We will take the equation from the beginning and + +401 +00:28:46,840 --> 00:28:50,900 +we will get to + +402 +00:28:50,900 --> 00:28:56,340 +the + +403 +00:28:56,340 --> 00:29:02,060 +new equation We say H + +404 +00:29:02,060 --> 00:29:06,600 +over 100 cm by D is equal to Prism by 100 cm The + +405 +00:29:06,600 --> 00:29:09,340 +position of the position is simple, that is, H by + +406 +00:29:09,340 --> 00:29:14,300 +D over 100 cm + +407 +00:29:19,110 --> 00:29:27,050 +يساوي لبرزم على + +408 +00:29:27,050 --> 00:29:34,110 +ميت صنطي طالما في المقام عند هنا ميت صنطي أسف + +409 +00:29:34,110 --> 00:29:38,470 +طالما هنا في المقام ميت صنطي في المقام ميت صنطي + +410 +00:29:38,470 --> 00:29:45,510 +بنضرب في ميت صنطي الجهتين فبصف عندى HD + +411 +00:29:48,300 --> 00:30:02,300 +يساوي Librism H + +412 +00:30:02,300 --> 00:30:08,960 +في D يساوي Librism او + +413 +00:30:08,960 --> 00:30:15,540 +بدنا ننجل Librism على .. على ناحية اليسار بنقول + +414 +00:30:15,540 --> 00:30:25,700 +تساوي H في DSo the printed effect of + +415 +00:30:25,700 --> 00:30:31,260 +any point in the lens is equal to the distance of + +416 +00:30:31,260 --> 00:30:38,200 +the point in centimeters from the optical center + +417 +00:30:38,200 --> 00:30:41,400 +multiplied by the power of the lens The distance + +418 +00:30:41,400 --> 00:30:44,000 +of the point in centimeters, the prismatic effect + +419 +00:30:44,000 --> 00:30:48,170 +of any point in the lensEqual to the distance of + +420 +00:30:48,170 --> 00:30:51,890 +the point in centimeters from the optical center + +421 +00:30:51,890 --> 00:30:56,750 +multiplied by D, which is the diopter, which is + +422 +00:30:56,750 --> 00:31:01,030 +the power of the lens Okay, if we say that we have + +423 +00:31:01,030 --> 00:31:07,490 +a lens whose + +424 +00:31:07,490 --> 00:31:12,230 +power is for example 20 diopters + +425 +00:31:21,880 --> 00:31:30,140 +this is the optical axis and + +426 +00:31:30,140 --> 00:31:41,360 +its force is 20 diopter plus 20 plus + +427 +00:31:41,360 --> 00:31:45,440 +20 diopter now I have two points + +428 +00:31:54,210 --> 00:32:01,470 +we will mark it with cross there + +429 +00:32:01,470 --> 00:32:11,290 +is a point, the first point is about 1.5 cm this + +430 +00:32:11,290 --> 00:32:17,050 +distance is 1.5 cm and + +431 +00:32:17,050 --> 00:32:22,340 +this distance is 0.5 cmفى عندى النقطة scene اللى + +432 +00:32:22,340 --> 00:32:25,620 +البعيدة و النقطة ساطق القريبة يا ترى إيش التأثير + +433 +00:32:25,620 --> 00:32:29,840 +المنشور عند هذه النقطة و إيش التأثير المنشور عند + +434 +00:32:29,840 --> 00:32:37,380 +هذه النقطة؟ بنقول كالقاتل حالها بسيط جدا بدنا + +435 +00:32:37,380 --> 00:32:48,400 +نحسب عند النقطة الأبعد بنقول + +436 +00:32:54,410 --> 00:32:57,270 +The prismatic effect at the point C which is one + +437 +00:32:57,270 --> 00:32:59,850 +and a half centimeters away is equal to H which is + +438 +00:32:59,850 --> 00:33:03,030 +one and a half centimeters Here, all measurements + +439 +00:33:03,030 --> 00:33:06,350 +in geometric optics with a meter except for the + +440 +00:33:06,350 --> 00:33:09,670 +prismatic effect of lenses in prisms with a + +441 +00:33:09,670 --> 00:33:14,070 +centimeter One and a half times the diopter which + +442 +00:33:14,070 --> 00:33:19,790 +is twenty So one and a half times this is equal to + +443 +00:33:22,810 --> 00:33:31,610 +30 Prism Diopter 30 Prism Diopter So, + +444 +00:33:31,890 --> 00:33:35,210 +the power of the lens as published at the point C + +445 +00:33:35,210 --> 00:33:41,550 +30 Prism Diopter The point C is 1.5 cm away from + +446 +00:33:41,550 --> 00:33:45,390 +the optical center We want to see the subject at + +447 +00:33:45,390 --> 00:33:45,790 +SAT + +448 +00:33:50,080 --> 00:33:53,640 +the prismatic effect at the point SAD is equal to + +449 +00:33:53,640 --> 00:34:09,740 +the point SAD the + +450 +00:34:09,740 --> 00:34:14,580 +point + +451 +00:34:14,580 --> 00:34:21,500 +SAD is half a centimeter in the diopterwhich is 20 + +452 +00:34:21,500 --> 00:34:24,800 +diopters, so the force is constant, half in + +453 +00:34:24,800 --> 00:34:32,160 +twenty, so ten prisms, ten prisms, so the further + +454 +00:34:32,160 --> 00:34:36,400 +the point is from the optical center, the stronger + +455 +00:34:36,400 --> 00:34:40,980 +its magnetic field is, so here the magnetic field + +456 +00:34:40,980 --> 00:34:42,800 +is stronger than here, and here stronger than + +457 +00:34:42,800 --> 00:34:44,300 +here, and here stronger than here, and here + +458 +00:34:44,300 --> 00:34:45,780 +stronger than here, until it reaches the optical + +459 +00:34:45,780 --> 00:34:49,180 +centerAway from the optical center, from the + +460 +00:34:49,180 --> 00:34:52,620 +optical center, zero. So when H is zero in D, + +461 +00:34:52,760 --> 00:34:54,400 +everything multiplied by zero becomes zero. So + +462 +00:34:54,400 --> 00:34:57,420 +there is no printed effect at the optical center. + +463 +00:34:57,500 --> 00:34:59,940 +This is a point. The second point, which is the + +464 +00:34:59,940 --> 00:35:02,120 +last example, in which we will end the lecture, + +465 +00:35:02,260 --> 00:35:06,320 +God willing. We have the same case. + +466 +00:35:09,580 --> 00:35:10,540 +I have a lens. + +467 +00:35:15,180 --> 00:35:18,560 +Plus twenty diopters in the first case We write + +468 +00:35:18,560 --> 00:35:26,520 +plus twenty diopters on it And + +469 +00:35:26,520 --> 00:35:39,200 +another lens Plus + +470 +00:35:39,200 --> 00:35:41,040 +five diopters + +471 +00:35:45,810 --> 00:35:48,010 +This is the first plus twenty and the second plus + +472 +00:35:48,010 --> 00:36:01,590 +five This is the optical axis of the first And + +473 +00:36:01,590 --> 00:36:11,070 +this is the optical axis of the second I + +474 +00:36:11,070 --> 00:36:12,070 +have a point + +475 +00:36:26,980 --> 00:36:32,820 +Scene In the plus 5 lens is one centimeter away + +476 +00:36:36,060 --> 00:36:38,540 +from the optical center and this is also one + +477 +00:36:38,540 --> 00:36:40,920 +centimeter away from the optical center from the + +478 +00:36:40,920 --> 00:36:46,020 +optical center what is the effect of the plus 20 + +479 +00:36:46,020 --> 00:36:48,760 +lens on the point C which is one centimeter away + +480 +00:36:48,760 --> 00:36:52,420 +from the optical center and what is the effect of + +481 +00:36:52,420 --> 00:36:57,800 +another point in the lens which is also called C + +482 +00:36:57,800 --> 00:37:01,040 +in the plus 5 lens which is one centimeter away + +483 +00:37:08,080 --> 00:37:17,580 +The printed effect is + +484 +00:37:17,580 --> 00:37:20,100 +also one centimeter The distance is one, but the + +485 +00:37:20,100 --> 00:37:22,080 +power of the lenses is different We say that the + +486 +00:37:22,080 --> 00:37:24,920 +printed effect at any point is equal to H in D and + +487 +00:37:24,920 --> 00:37:28,600 +is equal to We calculate for the plus 20 lens H is + +488 +00:37:28,600 --> 00:37:34,760 +one centimeter times twenty diopters is equal to + +489 +00:37:34,760 --> 00:37:48,550 +twenty prism diopters twentyprism diopter this + +490 +00:37:48,550 --> 00:37:54,130 +is the effect of the point C which is 1 cm away if + +491 +00:37:54,130 --> 00:37:58,110 +there is a ray that enters this point it is as if + +492 +00:37:58,110 --> 00:38:01,370 +it entered a ray with a force of 20 prism diopter + +493 +00:38:07,840 --> 00:38:12,700 +To a point which is 1cm away from the other point, + +494 +00:38:12,760 --> 00:38:18,080 +we say hd is equal to 1cm multiplied by 5 + +495 +00:38:18,080 --> 00:38:26,990 +diopters, which is equal to 5 prism dioptersSo, + +496 +00:38:27,570 --> 00:38:32,370 +the more the distance is away from the optical + +497 +00:38:32,370 --> 00:38:35,310 +center, the greater the effect of the prismatic + +498 +00:38:35,310 --> 00:38:39,210 +effect, and the stronger the lens is, the greater + +499 +00:38:39,210 --> 00:38:42,830 +the effect of the prismatic effect Yes, now a + +500 +00:38:42,830 --> 00:38:45,370 +person may ask a question, okay, what about the + +501 +00:38:45,370 --> 00:38:49,110 +minus lenses? Before we talk about the minus + +502 +00:38:49,110 --> 00:38:52,050 +lenses, we say that it is not enough, it is not + +503 +00:38:52,050 --> 00:38:55,780 +enough at allis to say that the effect of the + +504 +00:38:55,780 --> 00:39:01,060 +article is such and such 30, 20, 10, 15, 1.5, etc. + +505 +00:39:01,760 --> 00:39:04,420 +but it must .. as long as we say article, we must + +506 +00:39:04,420 --> 00:39:08,700 +define the direction of its base this is very + +507 +00:39:08,700 --> 00:39:15,720 +simple, we say as follows we + +508 +00:39:15,720 --> 00:39:19,920 +said that the plus index is two articles base to + +509 +00:39:19,920 --> 00:39:25,050 +base this is article baseto the bottom, and this + +510 +00:39:25,050 --> 00:39:28,190 +is the base with the highest point I ask myself a + +511 +00:39:28,190 --> 00:39:30,170 +question, these two points that I gave as + +512 +00:39:30,170 --> 00:39:33,590 +examples, where is their base going? to the + +513 +00:39:33,590 --> 00:39:41,570 +bottom, so base down it means it has BD base + +514 +00:39:41,570 --> 00:39:41,930 +down + +515 +00:39:50,610 --> 00:39:54,510 +I say at the point C, the printed effect is 30 + +516 +00:39:54,510 --> 00:39:57,630 +Prism Diopter Base Down And as if at the point C, + +517 +00:39:58,210 --> 00:40:00,870 +there is a printed base at the bottom and its + +518 +00:40:00,870 --> 00:40:05,250 +force is 30 Prism Diopter Well, the point C is + +519 +00:40:05,250 --> 00:40:08,510 +also present in the printed part or in the part of + +520 +00:40:08,510 --> 00:40:10,930 +the lens that is considered to be printed with its + +521 +00:40:10,930 --> 00:40:14,490 +base down I also say what is this? Base Down Base + +522 +00:40:14,490 --> 00:40:15,570 +Down + +523 +00:40:17,970 --> 00:40:24,250 +It's marked with BD Here's the next example We say + +524 +00:40:24,250 --> 00:40:29,630 +as follows This one is also based down And this + +525 +00:40:29,630 --> 00:40:33,070 +one is also based down Because it's present inside + +526 +00:40:33,070 --> 00:40:37,190 +the article Its + +527 +00:40:37,190 --> 00:40:40,350 +base is down Base down of course + +528 +00:40:59,060 --> 00:41:03,440 +Base down Base down For the minus lenses, it's the + +529 +00:41:03,440 --> 00:41:06,540 +same thing, no difference at all If we draw a + +530 +00:41:06,540 --> 00:41:10,360 +minus lens We + +531 +00:41:10,360 --> 00:41:13,140 +say this minus lens has a force of minus seven + +532 +00:41:13,140 --> 00:41:19,520 +diopters Minus seven diopters We say minus seven + +533 +00:41:19,520 --> 00:41:25,840 +diopters If I choose a point in it for example + +534 +00:41:34,280 --> 00:41:38,180 +This point is away from the optical center. This + +535 +00:41:38,180 --> 00:41:41,320 +is the optical center. Let's draw the optical axis + +536 +00:41:41,320 --> 00:41:44,740 +as well so that everything is complete here. + +537 +00:41:48,820 --> 00:41:51,760 +This is the optical axis. This point C is away + +538 +00:41:51,760 --> 00:41:57,530 +fromaway from the optical center 0.5 cm away from + +539 +00:41:57,530 --> 00:42:00,990 +the optical + +540 +00:42:00,990 --> 00:42:08,530 +center 0.5 cm away from the optical center 0.5 cm + +541 +00:42:08,530 --> 00:42:09,090 +away from the optical center 0.5 cm away from the + +542 +00:42:09,090 --> 00:42:09,270 +optical center 0.5 cm away from the optical center + +543 +00:42:09,270 --> 00:42:09,550 +0.5 cm away from the optical center 0.5 cm away + +544 +00:42:09,550 --> 00:42:09,650 +from the optical center 0.5 cm away from the + +545 +00:42:09,650 --> 00:42:10,430 +optical center 0.5 cm away from the optical center + +546 +00:42:10,430 --> 00:42:11,630 +0.5 cm away from the optical center 0.5 cm away + +547 +00:42:11,630 --> 00:42:14,950 +from the optical + +548 +00:42:14,950 --> 00:42:19,890 +center 0.5 cm away from the optical center 0.5 cm + +549 +00:42:19,890 --> 00:42:20,270 +away from the optical center 0.5 cm away from the + +550 +00:42:20,270 --> 00:42:20,270 +optical center 0.5 cm away from the optical center + +551 +00:42:20,270 --> 00:42:20,270 +0.5 cm away from the optical center 0.5 cm away + +552 +00:42:20,270 --> 00:42:20,270 +from the optical center 0.5 cm away from the + +553 +00:42:20,270 --> 00:42:20,270 +optical center 0.5 cm away from the optical center + +554 +00:42:20,270 --> 00:42:20,270 +0.5 cm away from the optical center 0.5 cm away + +555 +00:42:20,270 --> 00:42:20,270 +from the optical center 0.5 cm away from the + +556 +00:42:20,270 --> 00:42:20,270 +optical center 0.5 cm away from the optical center + +557 +00:42:20,270 --> 00:42:21,580 +0.5 cm away from the optical center 0.Seven and a + +558 +00:42:21,580 --> 00:42:27,800 +half times three and a half equals three + +559 +00:42:27,800 --> 00:42:32,520 +and a half prism diopter But it's not enough to + +560 +00:42:32,520 --> 00:42:36,280 +say it, we have to say the base is down or up or + +561 +00:42:36,280 --> 00:42:40,300 +in or out Here we say this point is present in the + +562 +00:42:40,300 --> 00:42:43,240 +part of the lens where the base is up or down, so + +563 +00:42:43,240 --> 00:42:47,300 +we say base up Exactly, here if you notice we + +564 +00:42:47,300 --> 00:42:51,250 +didn't use signsBut the shape of the lens is what + +565 +00:42:51,250 --> 00:42:54,490 +decides if the base is down or up or right or + +566 +00:42:54,490 --> 00:42:57,110 +left, depending on the direction of the base, + +567 +00:42:57,150 --> 00:42:59,930 +depending on the direction of the base Okay, if we + +568 +00:42:59,930 --> 00:43:05,110 +say that a person is wearing glasses and we took a + +569 +00:43:05,110 --> 00:43:05,890 +cross section + +570 +00:43:13,370 --> 00:43:17,550 +وقولنا لهو بده يطلع، يعني عينه مابتطلعش straight، + +571 +00:43:17,550 --> 00:43:22,750 +بتطلع ع اليمين، يعني بده يطلع من خلال هذه النقطة، + +572 +00:43:22,750 --> 00:43:30,630 +بده يطلع من خلال هذه النقطة، بتطلعش من وسط + +573 +00:43:30,630 --> 00:43:34,470 +النضارة، بتطلع من طرف النضارة الأيمن، هدي عينه + +574 +00:43:34,470 --> 00:43:35,710 +اليمين هنا + +575 +00:43:47,180 --> 00:43:54,200 +it is generated through the + +576 +00:43:54,200 --> 00:43:58,500 +right + +577 +00:43:58,500 --> 00:43:58,840 +side + +578 +00:44:37,950 --> 00:44:46,690 +I'm sorry It's + +579 +00:44:46,690 --> 00:44:49,130 +pointing in this direction, let's try to draw it + +580 +00:44:49,130 --> 00:44:52,750 +with an arrow I mean, its eye is pointed through + +581 +00:44:52,750 --> 00:44:59,150 +this point Through + +582 +00:44:59,150 --> 00:45:04,730 +this point, which is through the cross If we + +583 +00:45:04,730 --> 00:45:09,700 +calculate the influence of ManchuriaThe result is + +584 +00:45:09,700 --> 00:45:11,440 +that he is looking from this point, not from the + +585 +00:45:11,440 --> 00:45:14,040 +optical center, that is, the lens at this point is + +586 +00:45:14,040 --> 00:45:16,200 +as if it is placed in front of his eye, not just a + +587 +00:45:16,200 --> 00:45:19,100 +minus lens, and also printed Let's calculate the + +588 +00:45:19,100 --> 00:45:21,840 +printed effect, we say that this lens, of course, + +589 +00:45:22,020 --> 00:45:26,080 +the point is away from the optical center It is + +590 +00:45:26,080 --> 00:45:28,000 +horizontally away from the edge distance, which is + +591 +00:45:28,000 --> 00:45:29,740 +one centimeter, we want to assume that it is one + +592 +00:45:29,740 --> 00:45:33,260 +centimeter No As if + +593 +00:45:40,360 --> 00:45:44,300 +prismatic effect at this point is equal to one + +594 +00:45:44,300 --> 00:45:47,500 +centimeter which is the distance times seven + +595 +00:45:47,500 --> 00:45:51,220 +prisms we are minus seven diopters we only depend + +596 +00:45:51,220 --> 00:45:54,440 +on the number and it is equal to seven prisms + +597 +00:45:54,440 --> 00:46:01,580 +seven prisms seven prisms where is the base of + +598 +00:46:01,580 --> 00:46:04,380 +this prism? it emerges through this part of the + +599 +00:46:04,380 --> 00:46:07,620 +lens as shown here it emerges through this part + +600 +00:46:07,620 --> 00:46:11,590 +this part has its base outبالنسبة للعين اليمين + +601 +00:46:11,590 --> 00:46:15,850 +جاية base out، بقى بنقول base out، فضروري جدا مش + +602 +00:46:15,850 --> 00:46:22,830 +مجرد أني أحدد الرقم وإنما أيضا أحدد اتجاه ال base، + +603 +00:46:22,830 --> 00:46:26,770 +ال prism يرمز إله بال base، اتجاهه باتجاه ال base، + +604 +00:46:26,770 --> 00:46:32,160 +ضروري جدا هذه القضية تكون واضحة للغاية، طبعاالقوة + +605 +00:46:32,160 --> 00:46:35,460 +البرزمية أو القوة المنشورية لأي نقطة من نقاط + +606 +00:46:35,460 --> 00:46:39,940 +العدسة تساوي H في D، هذا يسمى Leprentice Rule، هذا + +607 +00:46:39,940 --> 00:46:44,100 +يسمى Leprentice Rule، تطبيقات Leprentice Rule، + +608 +00:46:44,100 --> 00:46:48,080 +هانبدأ فيها المرة القادمة ان شاء الله تعالى، + +609 +00:46:48,080 --> 00:46:52,080 +ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oDokMR_e5IA.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oDokMR_e5IA.srt new file mode 100644 index 0000000000000000000000000000000000000000..157e67f114851d1789924fe92d10c44ba6b31072 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/oDokMR_e5IA.srt @@ -0,0 +1,2041 @@ + +1 +00:00:01,720 --> 00:00:05,760 +بسم الله الرحمن الرحيم فبنستكمل محاضرات البصريات + +2 +00:00:05,760 --> 00:00:09,600 +الهندسية واتوقفنا عند law of rectilinear + +3 +00:00:09,600 --> 00:00:14,160 +propagation يعني قانون الصريان المستقيم واللي بينص + +4 +00:00:14,160 --> 00:00:19,080 +على أنه الضوء يسير في مسارات مستقيمة تسمى + +5 +00:00:19,080 --> 00:00:22,940 +الإشعاعات الضوئية, is on the law of rectilinear + +6 +00:00:22,940 --> 00:00:29,060 +propagation states that light in a homogeneous + +7 +00:00:29,060 --> 00:00:35,550 +medium travels along a straight path, or straight + +8 +00:00:35,550 --> 00:00:39,870 +line path to a cold light rays. So, light in a + +9 +00:00:39,870 --> 00:00:42,870 +homogeneous medium, the light, if it is present in + +10 +00:00:42,870 --> 00:00:45,330 +a homogeneous material or in a homogeneous medium, + +11 +00:00:46,070 --> 00:00:50,050 +it travels along a straight line through straight + +12 +00:00:50,050 --> 00:00:55,170 +lines called light rays or in short rays or in + +13 +00:00:55,170 --> 00:00:58,090 +short rays. What does homogeneous mean? It means + +14 +00:00:58,090 --> 00:01:00,620 +that it does not move from a material المادة لمادة + +15 +00:01:00,620 --> 00:01:02,740 +لمادة لمادة لمادة لمادة لمادة لمادة لمادة لمادة + +16 +00:01:02,740 --> 00:01:06,180 +لمادة لمادة لمادة لمادة لمادة لمادة لمادة لمادة + +17 +00:01:06,180 --> 00:01:07,120 +لمادة لمادة لمادة لمادة لمادة لمادة لمادة لمادة + +18 +00:01:07,120 --> 00:01:11,940 +لمادة لمادة لمادة لمادة لمادة لمادة + +19 +00:01:14,910 --> 00:01:16,590 +And here the substance which is at the bottom of + +20 +00:01:16,590 --> 00:01:19,830 +the horizontal line which is drawn in the + +21 +00:01:19,830 --> 00:01:25,030 +experiment is also air. So the light does not + +22 +00:01:25,030 --> 00:01:27,850 +break or reflect or undergo any change in its + +23 +00:01:27,850 --> 00:01:29,410 +path. Its path is straight. + +24 +00:01:32,370 --> 00:01:36,150 +So, of course, the wave shape for light is not + +25 +00:01:36,150 --> 00:01:41,030 +something we use, but in Geometric Optics, we use + +26 +00:01:41,030 --> 00:01:46,230 +the light ray, which makes it clear that it shows + +27 +00:01:46,230 --> 00:01:48,530 +the path and has nothing to do with the wave + +28 +00:01:48,530 --> 00:01:53,580 +nature of light. Okay, so this is the text of the + +29 +00:01:53,580 --> 00:01:55,560 +law, this is the text of the law, and this is a + +30 +00:01:55,560 --> 00:01:59,680 +drawing that explains this issue. It is true that + +31 +00:01:59,680 --> 00:02:02,860 +light spreads in all directions, but it spreads in + +32 +00:02:02,860 --> 00:02:06,520 +straight lines and flows in straight lines. Some + +33 +00:02:06,520 --> 00:02:10,040 +of the light rays go to the optical system in this + +34 +00:02:10,040 --> 00:02:12,360 +drawing, which is the pinhole, and some of them + +35 +00:02:12,360 --> 00:02:16,400 +scatter or go into space, but in straight lines, + +36 +00:02:16,540 --> 00:02:19,830 +in straight lines. The light ray is the most + +37 +00:02:19,830 --> 00:02:23,350 +fundamental construct in geometric optics يعني أهم + +38 +00:02:23,350 --> 00:02:33,390 +تركيبة أو أهم رسمة أو أهم وحدة بنائية في .. في علم + +39 +00:02:33,390 --> 00:02:35,990 +ال geometric optics هو ال light ray هو ال light + +40 +00:02:35,990 --> 00:02:41,640 +ray زي ما بنقول احنا وحدة بناء الجسم الخلية هنا + +41 +00:02:41,640 --> 00:02:45,220 +وحدة الشغل في ال .. و العلم بتاع ال geometric + +42 +00:02:45,220 --> 00:02:49,060 +optics مبني على موضوع ال light ray The basic + +43 +00:02:49,060 --> 00:02:52,020 +distinction between physical optics and geometric + +44 +00:02:52,020 --> 00:02:56,100 +optics الفرج الرئيسي .. الفرج الرئيسي بين علم ال + +45 +00:02:56,100 --> 00:02:59,120 +physical optics وعلم ال geometric optics is that + +46 +00:02:59,120 --> 00:03:01,340 +the latter اللي هو الأخير اللي هو ال geometric + +47 +00:03:01,340 --> 00:03:04,820 +optics being based on the law of rectilinear + +48 +00:03:04,820 --> 00:03:08,420 +propagation ignores diffraction. It is the science + +49 +00:03:08,420 --> 00:03:11,000 +of geometric optics. The science of geometric + +50 +00:03:11,000 --> 00:03:14,080 +optics, which is engineering vision, because it is + +51 +00:03:14,080 --> 00:03:17,400 +based on the law of rectilinear diffraction, the + +52 +00:03:17,400 --> 00:03:19,620 +science that we study, which is engineering + +53 +00:03:19,620 --> 00:03:22,240 +vision, based on the law of rectilinear + +54 +00:03:22,240 --> 00:03:26,000 +diffraction, the subject of diffraction is + +55 +00:03:26,000 --> 00:03:28,460 +neglected. The subject of diffraction, we remember + +56 +00:03:28,460 --> 00:03:34,260 +that when the light enters, in openings in an islet + +57 +00:03:34,260 --> 00:03:36,460 +or in a wall or something like that, it gets + +58 +00:03:36,460 --> 00:03:40,480 +diffraction, it means that the light does not flow + +59 +00:03:40,480 --> 00:03:46,000 +in straight lines and this law was broken a long + +60 +00:03:46,000 --> 00:03:48,880 +time ago, but the science of geometric optics + +61 +00:03:48,880 --> 00:03:52,620 +still benefits from it to simplify some things, so + +62 +00:03:52,620 --> 00:03:56,100 +the light really does not flow in straight lines + +63 +00:03:56,550 --> 00:03:59,430 +Why? Because its nature is wavy, and waves are not + +64 +00:03:59,430 --> 00:04:01,930 +straight lines. This is one point. The other point + +65 +00:04:01,930 --> 00:04:04,950 +is that waves have a nature or a traffic + +66 +00:04:04,950 --> 00:04:05,930 +phenomenon, which is the phenomenon of + +67 +00:04:05,930 --> 00:04:09,470 +diffraction, which is the entry of light from + +68 +00:04:09,470 --> 00:04:12,790 +narrow openings in a wall or islet. It causes the + +69 +00:04:12,790 --> 00:04:16,550 +light to dilate and diverge, and this of course + +70 +00:04:16,550 --> 00:04:20,410 +negates the presence of light in straight lines + +71 +00:04:20,410 --> 00:04:22,670 +Okay, what do we do in the science of geometric + +72 +00:04:22,670 --> 00:04:25,990 +optics? If we depend on the law of straight lines, + +73 +00:04:27,050 --> 00:04:28,850 +we say that we want to avoid the subject of + +74 +00:04:28,850 --> 00:04:30,730 +diffraction, we want to forget it, in other words, + +75 +00:04:30,850 --> 00:04:33,620 +we want to forget it. So, since the science of + +76 +00:04:33,620 --> 00:04:35,880 +geometric optics is based on the law of + +77 +00:04:35,880 --> 00:04:40,160 +rectilinear propagation, this science ignores + +78 +00:04:40,160 --> 00:04:42,420 +diffraction and ignores the phenomena of + +79 +00:04:42,420 --> 00:04:45,340 +diffraction. Is it wrong to ignore the phenomena + +80 +00:04:45,340 --> 00:04:48,660 +of diffraction? The answer is that for clinical + +81 +00:04:48,660 --> 00:04:51,340 +purposes, diffraction effects are rarely + +82 +00:04:51,340 --> 00:04:53,820 +important. It is true that diffraction happens, + +83 +00:04:53,980 --> 00:04:58,220 +but for medical purposes or in most medical devices + +84 +00:04:58,220 --> 00:05:02,380 +that use light, diffraction is low, so it is not + +85 +00:05:02,380 --> 00:05:03,120 +very important. + +86 +00:05:06,400 --> 00:05:09,400 +However, in situations where diffraction effects + +87 +00:05:09,400 --> 00:05:12,820 +are significant, geometric optics does not fully + +88 +00:05:12,820 --> 00:05:17,410 +describe damage. When I have a device in industry + +89 +00:05:17,410 --> 00:05:21,410 +or in any field of life, and diffraction is very + +90 +00:05:21,410 --> 00:05:24,430 +important in it because it affects the device or + +91 +00:05:24,430 --> 00:05:28,660 +the image a lot, in a significant way when it comes + +92 +00:05:28,660 --> 00:05:30,600 +to diffraction, at that point, the science of + +93 +00:05:30,600 --> 00:05:33,580 +geometric optics will not be able to describe the + +94 +00:05:33,580 --> 00:05:35,860 +picture and give me its characteristics because + +95 +00:05:35,860 --> 00:05:37,640 +the science of geometric optics has nothing to do + +96 +00:05:37,640 --> 00:05:41,480 +with diffraction and in the device that we hit as + +97 +00:05:41,480 --> 00:05:44,240 +an example, diffraction is important, so the + +98 +00:05:44,240 --> 00:05:47,140 +science of geometric optics is not enough in this + +99 +00:05:47,140 --> 00:05:47,780 +case. + +100 +00:05:50,210 --> 00:05:52,930 +We move to the second point, which is the optical + +101 +00:05:52,930 --> 00:05:56,810 +interface The optical interface is the limit + +102 +00:05:56,810 --> 00:06:01,870 +between two different visual mediums in density or + +103 +00:06:01,870 --> 00:06:06,770 +different in refractive index. When we say that + +104 +00:06:06,770 --> 00:06:09,850 +China medium and Saudi medium are different in + +105 +00:06:09,850 --> 00:06:13,030 +density, this means that they are different from + +106 +00:06:13,030 --> 00:06:16,760 +each other in the refractive index, both of them + +107 +00:06:16,760 --> 00:06:19,700 +are called optical media or optical media, + +108 +00:06:19,860 --> 00:06:23,940 +sinusoid, but sinusoid differs from sinusoid in + +109 +00:06:23,940 --> 00:06:28,220 +that its density is different. The higher the + +110 +00:06:28,220 --> 00:06:32,340 +density, the + +111 +00:06:32,340 --> 00:06:37,760 +higher the refractive index. And the lower the + +112 +00:06:37,760 --> 00:06:42,360 +density, the lower the refractive index. So, the + +113 +00:06:42,360 --> 00:06:46,920 +boundary between two different optical media is + +114 +00:06:46,920 --> 00:06:51,840 +called an optical interface. إذن الحد الفاصل بين + +115 +00:06:51,840 --> 00:06:57,920 +وسطين بصريين زي الماء والهواء زي الهواء والزجاج زي + +116 +00:06:57,920 --> 00:07:03,440 +الماء والزجاج يسمى طبعا the boundary between two + +117 +00:07:03,440 --> 00:07:07,040 +different optical media is called an optical + +118 +00:07:07,040 --> 00:07:11,500 +interface. Typically, when light reaches an optical + +119 +00:07:11,500 --> 00:07:15,460 +interface, some light is transmitted through the + +120 +00:07:15,460 --> 00:07:20,180 +interface, some is reflected, and some is absorbed + +121 +00:07:20,180 --> 00:07:25,880 +or converted to heat by the interface. نضرب مثال + +122 +00:07:25,880 --> 00:07:30,920 +على ذلك. نقول لما بيصل الضوء قادما من أحد الأوساط + +123 +00:07:30,920 --> 00:07:36,880 +البصرية, يعني خلينا احنا بالرسم يتضح الأمر. We say as + +124 +00:07:36,880 --> 00:07:41,060 +follows, this light is present in the air present + +125 +00:07:41,060 --> 00:07:43,920 +in the air and it wants to go to another + +126 +00:07:43,920 --> 00:07:47,580 +substance. Let's suppose it's water. Let's suppose + +127 +00:07:47,580 --> 00:07:53,440 +it's water so this light, let's + +128 +00:07:53,440 --> 00:07:58,100 +use the waves so that the motion is clear. It's + +129 +00:07:58,100 --> 00:08:00,900 +clear that the light is moving. When the light + +130 +00:08:00,900 --> 00:08:06,410 +reaches from the air to the surface between air and + +131 +00:08:06,410 --> 00:08:11,210 +water, meaning water and air, three things happen + +132 +00:08:11,210 --> 00:08:15,030 +with light. A part of it passes to the other + +133 +00:08:15,030 --> 00:08:16,910 +substance, that is, it passes to water. That is, a + +134 +00:08:16,910 --> 00:08:21,770 +part of the light, of the light rays, passes to + +135 +00:08:21,770 --> 00:08:26,400 +the other medium, and a part of it is reflected. و + +136 +00:08:26,400 --> 00:08:31,320 +تالت اشي جزء منه بينطسه السطح الفاصل بتحول لحرارة + +137 +00:08:31,320 --> 00:08:35,840 +و بينطسه السطح الفاصل. إذا عند انتقال الضوء من وسط + +138 +00:08:35,840 --> 00:08:41,540 +الى وسط اخر بيختلف عنه في ال refractive index يعني + +139 +00:08:41,540 --> 00:08:46,920 +بيختلف عنه في الكثافة, بيحدث تلت اشياء: جزء بينكسر + +140 +00:08:46,920 --> 00:08:50,860 +او بيمر and part of it is reflected and part of it + +141 +00:08:50,860 --> 00:08:56,140 +turns into heat, which is absorbed by the + +142 +00:08:56,140 --> 00:08:58,580 +separated surface between the two materials and + +143 +00:08:58,580 --> 00:09:04,240 +turns into heat. Okay, we can say that we need + +144 +00:09:04,240 --> 00:09:08,540 +another example from practical life. We say as + +145 +00:09:08,540 --> 00:09:12,440 +usual, a person stands in front of a car, this car + +146 +00:09:12,440 --> 00:09:18,840 +is parked on the street في الظهيرة في وقت الظهيرة و + +147 +00:09:18,840 --> 00:09:26,660 +الشمس حامية و شخص آخر شخص آخر داخل السيارة الان + +148 +00:09:26,660 --> 00:09:32,640 +الشخص اللي برا السيارة واقف ضوء الشمس بيسقط عليه + +149 +00:09:32,640 --> 00:09:38,060 +ثم بينعكس في جميع الاتجاهات. طيب الان أصبح هذا + +150 +00:09:38,060 --> 00:09:42,460 +الشخص اللي برا السيارة مصدر للضوء بيعكس ضوء الشمس. + +151 +00:09:43,180 --> 00:09:46,580 +طالما الشخص اللي جوا السيارة، شاف الشخص اللي برا + +152 +00:09:46,580 --> 00:09:50,080 +السيارة, معناته الضوء اللي إجا من الشخص اللي واقف + +153 +00:09:50,080 --> 00:09:56,220 +برا السيارة، نفذ عبر الزجاج. الزجاج وسطبصري و + +154 +00:09:56,220 --> 00:10:02,250 +الهواء وسطبصري, يعني الشخص واقف في الهواء the sun's + +155 +00:10:02,250 --> 00:10:04,810 +light fell on him. The sun's light reflected + +156 +00:10:04,810 --> 00:10:08,070 +towards the car, or the reflected light from this + +157 +00:10:08,070 --> 00:10:12,570 +body, from this person outside the car, reflected + +158 +00:10:12,570 --> 00:10:16,510 +in all directions. A light band went towards the + +159 +00:10:16,510 --> 00:10:19,270 +car. The person inside the car saw the person + +160 +00:10:19,270 --> 00:10:22,230 +outside, which means the reflected light from the + +161 +00:10:22,230 --> 00:10:24,950 +person outside passed through the glass, so the + +162 +00:10:24,950 --> 00:10:26,390 +matter of light passing proved + +163 +00:10:28,660 --> 00:10:33,380 +نفسه الشخص اللي برا السيارة ممكن يشوف صورة حاله في + +164 +00:10:33,380 --> 00:10:37,260 +الجزاز, معناته جزء من الضوء اللي سقط منه على + +165 +00:10:37,260 --> 00:10:42,380 +الجزاز السيارة انعكس, اذا ايضا الانعكاس وارد. تالت + +166 +00:10:42,380 --> 00:10:46,150 +شئ لو هذا الشخص اللي برا السيارة I mean, if you put + +167 +00:10:46,150 --> 00:10:48,370 +your hand on the glass of the car, you will find + +168 +00:10:48,370 --> 00:10:52,850 +it warm or even sometimes it reaches the level of + +169 +00:10:52,850 --> 00:10:59,750 +warmth with the heat, with the heat. Therefore, + +170 +00:11:00,130 --> 00:11:02,090 +there are three phenomena that we mentioned that + +171 +00:11:02,090 --> 00:11:08,430 +occur when the light moves from one middle to + +172 +00:11:08,430 --> 00:11:11,610 +another middle of the eye. The first thing, a part + +173 +00:11:11,610 --> 00:11:16,010 +of it reflects. الشيء التاني جزء بيمر والشيء التالت + +174 +00:11:16,010 --> 00:11:21,890 +جزء بينتص بواسطة ال optical interface, الحد الفاصل + +175 +00:11:21,890 --> 00:11:27,150 +ال optical interface, و بتحول إلى حرارة .. و بتحول + +176 +00:11:27,150 --> 00:11:34,310 +إلى حرارة. إذا + +177 +00:11:34,310 --> 00:11:37,830 +some light is transmitted through the interface + +178 +00:11:37,830 --> 00:11:42,630 +بيمر, some is reflected on تاني إشي بينعكس and some + +179 +00:11:42,630 --> 00:11:46,370 +is absorbed or converted to heat by the interface. + +180 +00:11:47,450 --> 00:11:51,390 +طب جداش نسبة كل حاجة من التلت حاجات هدول? The + +181 +00:11:51,390 --> 00:11:55,330 +amount of light transmitted, reflected and + +182 +00:11:55,330 --> 00:11:58,850 +absorbed depends on several factors. يعني جداش + +183 +00:11:58,850 --> 00:12:02,750 +نسبة كل واحد? جداش نسبة الإشعاعات الضوئية اللي + +184 +00:12:02,750 --> 00:12:06,130 +بتمر، و الإشعاعات الضوئية اللي بتنعكس, و الإشعاعات + +185 +00:12:06,130 --> 00:12:10,030 +الضوئية اللي بتتحول لحرارة، يعني بتنتصب وسط السطح + +186 +00:12:10,030 --> 00:12:15,410 +الفاصل, this depends on many factors. When light + +187 +00:12:15,410 --> 00:12:20,250 +reaches a smooth optical interface, it undergoes + +188 +00:12:20,250 --> 00:12:24,330 +specular reflection and transmission. We go back to + +189 +00:12:24,330 --> 00:12:29,470 +the drawing that explains this case. We say when we + +190 +00:12:29,470 --> 00:12:32,830 +find a distance between two objects, this distance + +191 +00:12:33,350 --> 00:12:37,870 +it can be because it's flat as you can see, and it + +192 +00:12:37,870 --> 00:12:41,410 +can be because it's slanted, meaning an optical + +193 +00:12:41,410 --> 00:12:46,990 +interface, a distance between two lenses, but not + +194 +00:12:46, + +223 +00:14:33,870 --> 00:14:35,910 +that it turns into a heat that we did not make in + +224 +00:14:35,910 --> 00:14:38,730 +it, as we said. As for the other two things, which + +225 +00:14:38,730 --> 00:14:40,850 +are reflection and transmission, which are + +226 +00:14:40,850 --> 00:14:44,250 +reflection and passage, بيتم بشكل specular، يعني + +227 +00:14:44,250 --> 00:14:48,670 +بإنعكاس، شكل منطفا، بشكل منطفا، زي ما الصورة هادي + +228 +00:14:48,670 --> 00:14:51,850 +بتوضح، طبعا الصورة هاي عبارة عن light ray واحد، بس + +229 +00:14:51,850 --> 00:14:56,470 +إحنا بنتصور إنها حزمة ضوئية، مكونا من العديد من + +230 +00:14:56,470 --> 00:15:00,580 +الإشعاعات، هاي وسط تاني، وهي الهواء which is the + +231 +00:15:00,580 --> 00:15:02,360 +first middle point Let's say this middle point is + +232 +00:15:02,360 --> 00:15:05,140 +the glass, part of the light beam will be + +233 +00:15:05,140 --> 00:15:07,600 +reflected and part will pass through it But + +234 +00:15:07,600 --> 00:15:09,780 +because the distance between the glass and the air + +235 +00:15:09,780 --> 00:15:14,060 +is smooth, the part that will be reflected will be + +236 +00:15:14,060 --> 00:15:16,800 +reflected in an even way and the part that will + +237 +00:15:16,800 --> 00:15:21,720 +pass through will pass through in an even way At + +238 +00:15:21,720 --> 00:15:24,980 +rough optical interface, if I have a distance + +239 +00:15:24,980 --> 00:15:27,040 +between two middle points, but this surface is + +240 +00:15:27,040 --> 00:15:31,490 +rough, Light undergoes diffuse reflection and + +241 +00:15:31,490 --> 00:15:36,330 +transmission لو عندي سطح فاصل بين مادتين، هوا و + +242 +00:15:36,330 --> 00:15:40,190 +ميه، هوا و اجزاز، اجزاز و ميه، وفي عندي الضوء جاي + +243 +00:15:40,190 --> 00:15:43,970 +من مادة لأ، من إحدى المادتين للمادة التانية، بس + +244 +00:15:43,970 --> 00:15:48,750 +السطح الفاصل rough، rough يعني خشن أو غير منتظم + +245 +00:15:49,510 --> 00:15:53,110 +Then the light undergoes diffuse reflection and + +246 +00:15:53,110 --> 00:15:55,810 +transmission. The part that passes by, passes by + +247 +00:15:55,810 --> 00:15:59,190 +randomly, and the part that is reflected, is + +248 +00:15:59,190 --> 00:16:02,270 +reflected randomly. Here I have a substance here, + +249 +00:16:02,770 --> 00:16:04,330 +and here I have another substance. This is the + +250 +00:16:04,330 --> 00:16:07,630 +separated surface between them that is rough, not + +251 +00:16:07,630 --> 00:16:13,180 +balanced. When the light band falls I have + +252 +00:16:13,180 --> 00:16:16,200 +reflections in various directions. Of course, I'm + +253 +00:16:16,200 --> 00:16:17,960 +not drawing the part that passed, but the part + +254 +00:16:17,960 --> 00:16:20,900 +that passed will also pass randomly, scattered and + +255 +00:16:20,900 --> 00:16:27,120 +messed up When I have a + +256 +00:16:27,120 --> 00:16:30,200 +light pole that fell on a rough optical interface, + +257 +00:16:30,680 --> 00:16:33,040 +the part that is reflected also reflects all the + +258 +00:16:33,040 --> 00:16:35,440 +rays in a certain direction, which means that + +259 +00:16:35,440 --> 00:16:41,340 +things don't work in a regular way طيب، الآن + +260 +00:16:41,340 --> 00:16:45,160 +العلماء سألوا أنفسهم سؤال، و هذا سؤال عمليا غير + +261 +00:16:45,160 --> 00:16:48,420 +ممكن التطبيق، بس قالوا لو أنه احنا ال pencil of + +262 +00:16:48,420 --> 00:16:53,840 +light، حزمة الضوء is reduced to a single ray، لو + +263 +00:16:53,840 --> 00:16:59,000 +جيبنا حزمة ضوء، ضوء، حزمة ضوء، و اختصرناها لlight + +264 +00:16:59,000 --> 00:17:03,780 +ray واحد، و أسقطنا هذا light ray الواحد على rough + +265 +00:17:03,780 --> 00:17:11,000 +optical interface، هينعكس بشكل منتظر، ليش؟ It is + +266 +00:17:11,000 --> 00:17:14,460 +reflected and transmitted specularly by rough + +267 +00:17:14,460 --> 00:17:19,360 +interface يعني لو بده يمر، هيمر بشكل منتظم و لو + +268 +00:17:19,360 --> 00:17:23,960 +بده ينعكس، بنعكس بشكل منتظم ليش على rough optical + +269 +00:17:23,960 --> 00:17:28,560 +interface لو اختصرنا كل حزمة الأشعة لشعاع واحد، + +270 +00:17:28,560 --> 00:17:32,180 +هذا الشعاع إذا بده يمر، هيمر بشكل منتظم و لو إذا + +271 +00:17:32,180 --> 00:17:36,720 +بده ينعكس، بنعكس بشكل منتظم بينما لو في حزمة كاملة + +272 +00:17:36,720 --> 00:17:41,560 +من الضوء، عشرين ألف، تلاتين ألف شعاع Sometimes if + +273 +00:17:41,560 --> 00:17:43,960 +it starts to reflect, it will reflect in a diffuse + +274 +00:17:43,960 --> 00:17:46,700 +way on a rough surface, and if it starts to pass, + +275 +00:17:46,760 --> 00:17:48,200 +or the part that wants to pass from it, it will + +276 +00:17:48,200 --> 00:17:50,800 +pass in a diffuse way as well, that is, irregular + +277 +00:17:50,800 --> 00:17:54,220 +and random The simple reason is that the light + +278 +00:17:54,220 --> 00:17:59,280 +rail 1, the light rail 1 is not compared to .. I + +279 +00:17:59,280 --> 00:18:01,640 +mean it doesn't have .. it doesn't have another + +280 +00:18:01,640 --> 00:18:05,870 +beam that I call the second one, I mean .. they + +281 +00:18:05,870 --> 00:18:09,970 +walk in an organized way or in an unorganized way + +282 +00:18:09,970 --> 00:18:12,330 +In other words, to make it easier to understand, + +283 +00:18:12,470 --> 00:18:16,720 +let's say there's one student in a school وطلبنا من + +284 +00:18:16,720 --> 00:18:20,560 +هذا التلميذ وهو يسير في ساحة المدرسة وقلنا له إيجي + +285 +00:18:20,560 --> 00:18:24,920 +في طابور وين ما وقف وين ما وقف في أي جزء من الساحة + +286 +00:18:24,920 --> 00:18:28,880 +فهو يعتبر واقف طابور ومش مخل بالطابور، ليش؟ لإن + +287 +00:18:28,880 --> 00:18:32,160 +الطابور هو عبارة عن شخص واحد اللي هو هذا التلميذ، + +288 +00:18:32,160 --> 00:18:35,820 +بينما لو عندي أكتر من .. من تلميذ، تنين أو تلاتة + +289 +00:18:35,820 --> 00:18:39,330 +وقلنا لهم he came in a line, the three had to + +290 +00:18:39,330 --> 00:18:43,170 +gather in one place and line up in a regular + +291 +00:18:43,170 --> 00:18:45,310 +manner and line up in a regular manner, but if the + +292 +00:18:45,310 --> 00:18:49,350 +school is composed of one student arguing and we + +293 +00:18:49,350 --> 00:18:51,330 +told him to come in a line from wherever he stood, + +294 +00:18:51,430 --> 00:18:53,050 +that is, if he stood on the side of the school, in + +295 +00:18:53,050 --> 00:18:55,110 +the middle of the school, in the first school, + +296 +00:18:55,670 --> 00:18:59,010 +then wherever he stood is considered a regular + +297 +00:18:59,010 --> 00:19:00,770 +position, is considered a regular position because + +298 +00:19:00,770 --> 00:19:03,410 +there is no other student compared to him, + +299 +00:19:03,430 --> 00:19:07,100 +compared to him فبالتالي لو شعاع واحد سقط على rough + +300 +00:19:07,100 --> 00:19:10,700 +optical interface، إذا بده ينعكس، بنعكس بشكل + +301 +00:19:10,700 --> 00:19:14,640 +specular، يعني منتظم، وإذا بده يمر، بيصير .. + +302 +00:19:14,640 --> 00:19:18,180 +بيصيرله specular transmission، يعني مرور منتظم + +303 +00:19:20,410 --> 00:19:22,990 +We come to the general reflection, which means we + +304 +00:19:22,990 --> 00:19:25,170 +said that there are three things that happen to us + +305 +00:19:25,170 --> 00:19:31,830 +when the light falls on an optical interface at a + +306 +00:19:31,830 --> 00:19:34,190 +distance between two materials or between two + +307 +00:19:34,190 --> 00:19:38,930 +visual mediums I have a part that reflects and a + +308 +00:19:38,930 --> 00:19:41,250 +part that passes, which means it breaks, and a + +309 +00:19:41,250 --> 00:19:44,050 +part that turns into heat The part that turns into + +310 +00:19:44,050 --> 00:19:47,170 +heat on the surface This is not going to be + +311 +00:19:47,170 --> 00:19:49,610 +discussed in Geometric Optics because it has + +312 +00:19:49,610 --> 00:19:52,150 +nothing to do with it The part that is going to + +313 +00:19:52,150 --> 00:19:53,590 +pass, we are going to delay it, we are going to + +314 +00:19:53,590 --> 00:19:56,370 +talk about the inversion and we will talk + +315 +00:19:56,370 --> 00:19:59,390 +specifically about the regular reflection, which + +316 +00:19:59,390 --> 00:20:03,330 +means that the optical interface should be smooth, + +317 +00:20:03,450 --> 00:20:07,710 +smooth optical interface whether you see the part + +318 +00:20:07,710 --> 00:20:11,070 +that is reflected, the part that is reflected, + +319 +00:20:12,030 --> 00:20:14,770 +what is its position, and therefore we will cancel + +320 +00:20:14,770 --> 00:20:17,990 +this case and see, I mean + +321 +00:20:26,760 --> 00:20:28,800 +فقط هنركز على جزء الانعكاس فقط هنركز على جزء + +322 +00:20:28,800 --> 00:20:31,300 +الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز على + +323 +00:20:31,300 --> 00:20:31,660 +جزء الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز + +324 +00:20:31,660 --> 00:20:31,960 +على جزء الانعكاس فقط هنركز على جزء الانعكاس فقط + +325 +00:20:31,960 --> 00:20:34,820 +هنركز على جزء الانعكاس فقط هنركز على جزء الانعكاس + +326 +00:20:34,820 --> 00:20:39,620 +فقط هنركز على جزء الانعكاس فقط هنركز على جزء + +327 +00:20:39,620 --> 00:20:43,160 +الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز على + +328 +00:20:43,160 --> 00:20:50,540 +جزء الانعكاس فقط هنركز على جزء الانعكاس فقط هنركز + +329 +00:20:50,540 --> 00:20:54,400 +على جزء الانعك In the regular reflection, the + +330 +00:20:54,400 --> 00:20:58,040 +direction of reflected ray bears a definite + +331 +00:20:58,040 --> 00:21:03,040 +relationship to the direction of incident ray We + +332 +00:21:03,040 --> 00:21:08,700 +say .. In the regular reflection, the direction of + +333 +00:21:08,700 --> 00:21:13,000 +the reflected ray has a fixed and determined + +334 +00:21:13,000 --> 00:21:15,860 +relation compared to the falling ray This is + +335 +00:21:15,860 --> 00:21:19,600 +called the falling ray Let's see in the form of + +336 +00:21:19,600 --> 00:21:25,180 +waves to see where the movement is إذن شعاع بيسكت + +337 +00:21:25,180 --> 00:21:30,620 +وبيكون نصيب من الأشعة إنه الجزء اللي بينعكس هو + +338 +00:21:30,620 --> 00:21:34,880 +اللي هندرسوه اليوم إذن الشعاع المنعكس reflected + +339 +00:21:34,880 --> 00:21:40,040 +ray reflected ray bears يحمل definite relation + +340 +00:21:40,040 --> 00:21:44,900 +علاقة واضحة ومحددة بالنسبة للشعاع الساقط اللي هو + +341 +00:21:44,900 --> 00:21:50,020 +incident ray اللي هو incident ray إذن to express + +342 +00:21:50,020 --> 00:21:54,260 +precise relationshipbetween incident ray and + +343 +00:21:54,260 --> 00:21:57,560 +reflected rays, it is necessary to construct an + +344 +00:21:57,560 --> 00:22:01,080 +imaginary line perpendicular to the optical + +345 +00:22:01,080 --> 00:22:04,240 +interface at the point where the incident ray + +346 +00:22:04,240 --> 00:22:08,320 +meets the interface. This imaginary line is a + +347 +00:22:08,320 --> 00:22:11,140 +service norm. The drawing will explain this + +348 +00:22:11,140 --> 00:22:14,100 +sentence and we will read it again. In order to + +349 +00:22:14,100 --> 00:22:17,100 +know the relation between the reflected rays and + +350 +00:22:17,100 --> 00:22:20,180 +the falling rays, the first thing we need to draw + +351 +00:22:21,280 --> 00:22:25,600 +An imaginary line, this imaginary line must be + +352 +00:22:25,600 --> 00:22:27,560 +perpendicular to the optical interface, + +353 +00:22:27,660 --> 00:22:30,000 +perpendicular to the surface So where do we draw + +354 +00:22:30,000 --> 00:22:32,860 +it? Do we draw it here, or here, or here? No, we + +355 +00:22:32,860 --> 00:22:35,580 +will draw it at the point .. at the point of + +356 +00:22:35,580 --> 00:22:38,460 +contact of the falling rainbow with the surface + +357 +00:22:38,460 --> 00:22:41,920 +The falling rainbow fell and reached .. now it + +358 +00:22:41,920 --> 00:22:45,170 +reached here And we imagine that time has stopped, + +359 +00:22:45,330 --> 00:22:48,390 +it hasn't reversed yet, so the falling candle fell + +360 +00:22:48,390 --> 00:22:51,970 +and reached that it made a touch, that is, it + +361 +00:22:51,970 --> 00:22:56,370 +touched the separate surface between the first + +362 +00:22:56,370 --> 00:23:01,680 +substance and the second substance هذا الشعاع مصيبه + +363 +00:23:01,680 --> 00:23:05,460 +انه ينعكس مش يمر جزء من الأشعاع هتمر و جزء هتنعكس + +364 +00:23:05,460 --> 00:23:09,180 +احنا هنحكي على اللي هتنعكس عشان نعرف العلاقة بين + +365 +00:23:09,180 --> 00:23:13,100 +الشعاع المنعكس اللي هو reflected ray و الشعاع + +366 +00:23:13,100 --> 00:23:17,640 +الساقط اللي هو incident ray لازم احنا نرسم ال + +367 +00:23:17,640 --> 00:23:22,100 +service normal Kilometer service normal تعني العمود + +368 +00:23:22,100 --> 00:23:27,040 +المقام على السطح كلمة service normal تعني العمود + +369 +00:23:27,040 --> 00:23:31,300 +المقام على السطح الفاصل بين المادتين أو بين + +370 +00:23:31,300 --> 00:23:31,920 +الوسطين كلمة service normal تعني العمود المقام على + +371 +00:23:31,920 --> 00:23:32,720 +السطح الفاصل بين المادتين أو بين الوسطين طيب وين + +372 +00:23:32,720 --> 00:23:35,440 +أرسم هذا العمود؟ أرسمه في النقطة high ولا عند + +373 +00:23:35,440 --> 00:23:38,060 +النقطة high؟ ما يكون لها هذا سطح فاصل وممكن أرسم + +374 +00:23:38,060 --> 00:23:42,500 +العمود؟ لأ العمود بده يرسم .. بده يرسم عند نقطة + +375 +00:23:42,500 --> 00:23:48,160 +الدقاء الشعاع الساقط .. الشعاع الساقط مع السطح So + +376 +00:23:48,160 --> 00:23:51,500 +they meet at this point, I bring the pencil and I + +377 +00:23:51,500 --> 00:23:54,400 +draw a vertical line on the surface, a vertical + +378 +00:23:54,400 --> 00:23:58,040 +line on the surface, I call it service normal Now + +379 +00:23:58,040 --> 00:24:01,000 +this line which is the falling rain, the incident + +380 +00:24:01,000 --> 00:24:04,200 +rain, and the imaginary line, this is another line + +381 +00:24:04,200 --> 00:24:09,020 +They form an empty level between them, they call + +382 +00:24:09,020 --> 00:24:13,980 +it plane of incidence and reflection a plane of + +383 +00:24:13,980 --> 00:24:17,540 +incidence and reflection يعني مستوى السقوط + +384 +00:24:17,540 --> 00:24:21,580 +والانعكاس ممكن انسان يستغرب يقول ليش سميناه مستوى + +385 +00:24:21,580 --> 00:24:25,480 +السقوط والانعكاس مع انه كلمة انعكاس لسه احنا انا + +386 +00:24:25,480 --> 00:24:29,060 +ما اتكلمنا عن الشعاع المنعكس احنا بنتكلم عن الشعاع + +387 +00:24:29,060 --> 00:24:33,520 +الساقط فقط مع ال service normal يعني كل خطين + +388 +00:24:33,520 --> 00:24:37,910 +مستقيمين they meet at a point where they restrict + +389 +00:24:37,910 --> 00:24:41,730 +or restrict each other or there is a gap between + +390 +00:24:41,730 --> 00:24:46,570 +them gap gap gap gap gap gap gap gap gap gap gap + +391 +00:24:46,570 --> 00:24:49,270 +gap gap gap gap gap gap gap gap gap gap gap gap + +392 +00:24:49,270 --> 00:24:49,330 +gap gap gap gap gap gap gap gap gap gap gap gap + +393 +00:24:49,330 --> 00:24:49,770 +gap gap gap gap gap gap gap gap gap gap gap gap + +394 +00:24:49,770 --> 00:24:52,690 +gap gap gap gap gap gap gap gap gap gap gap gap + +395 +00:24:52,690 --> 00:25:02,390 +gap gap gap gap gap gap gap gap gap gap gap + +396 +00:25:02,390 --> 00:25:07,800 +gap gap gap to construct an imaginary line لابد انه + +397 +00:25:07,800 --> 00:25:13,380 +نرسم او ننشط خط تخيلي perpendicular عمودي to the + +398 +00:25:13,380 --> 00:25:17,640 +optical interface بس when at the point عند النقطة + +399 +00:25:17,640 --> 00:25:21,140 +اللي ال incident ray meets the interface عند + +400 +00:25:21,140 --> 00:25:24,280 +النقطة اللي اللي فيها الشعاع الساطط بيقابل او + +401 +00:25:24,280 --> 00:25:29,540 +بيلتقي مع السطح الفاصل this imaginary line is + +402 +00:25:29,540 --> 00:25:34,760 +service normal اذا هايالشعاع الساقط، هاي الشعاع + +403 +00:25:34,760 --> 00:25:40,500 +الساقط حسب السهم ما بي .. بيوضح عند النقطة التقاء + +404 +00:25:40,500 --> 00:25:45,780 +الشعاع الساقط مع السطح الفاصل أنا بأنشئ العمود هذا + +405 +00:25:45,780 --> 00:25:49,340 +اللي هو خط تخيلي و بسميه surface normal بسميه + +406 + +445 +00:28:29,980 --> 00:28:31,980 +angle of reflection is between the reflected rays + +446 +00:28:31,980 --> 00:28:34,160 +and the optical interface, and this is wrong, + +447 +00:28:34,620 --> 00:28:37,680 +always, why do we draw the surface normal? To + +448 +00:28:37,680 --> 00:28:40,300 +determine where is the angle of fall and where is + +449 +00:28:40,300 --> 00:28:43,080 +the angle of reflection, so this issue must be + +450 +00:28:43,080 --> 00:28:47,690 +very clear, so this is not The angle formed by the + +451 +00:28:47,690 --> 00:28:50,970 +incident ray and surface normal is the angle of + +452 +00:28:50,970 --> 00:28:55,070 +incidence θI. This is not the angle between the + +453 +00:28:55,070 --> 00:28:57,490 +incident ray and the optical interface. + +454 +00:29:14,980 --> 00:29:18,220 +The reflected ray and the service normal form the + +455 +00:29:18,220 --> 00:29:19,680 +angle of reflection + +456 +00:29:44,280 --> 00:29:48,700 +الان نيجي لقانون الانعكاس The law of reflection + +457 +00:29:48,700 --> 00:29:54,880 +states that ينص على انه the reflected ray lies in + +458 +00:29:54,880 --> 00:29:57,980 +the same plane as the incident ray and the surface + +459 +00:29:57,980 --> 00:30:01,840 +normal the reflected ray lies in the plane of + +460 +00:30:01,840 --> 00:30:08,360 +incidence and that θI تساوي θR اذا قانون الانعكاس + +461 +00:30:08,360 --> 00:30:13,900 +بنص على جملتين مهمات جدا جدا لا ثالثة لهم اول حاجة + +462 +00:30:14,770 --> 00:30:19,010 +The reflected ray falls in the same level of + +463 +00:30:19,010 --> 00:30:22,550 +emptiness as the incident ray and the service + +464 +00:30:22,550 --> 00:30:22,890 +normal + +465 +00:30:29,500 --> 00:30:33,160 +a plane of incidence and reflection, وهي كوضحة ليش + +466 +00:30:33,160 --> 00:30:36,280 +التسمية ما .. ما .. ما اختصرناهاش وقولنا plane of + +467 +00:30:36,280 --> 00:30:39,980 +incidence لأ هو plane of incidence and reflection + +468 +00:30:39,980 --> 00:30:44,280 +لأنه الجزء الأول من قانون الانعكاس من ال law of + +469 +00:30:44,280 --> 00:30:48,020 +reflection بينص على ان ال reflected ray lies in + +470 +00:30:48,020 --> 00:30:51,220 +the same plane as the surface normal and incident + +471 +00:30:51,220 --> 00:30:56,610 +rayThe second and last sentence in the law of + +472 +00:30:56,610 --> 00:31:00,970 +inversion is that θI is equal to θR The angle of + +473 +00:31:00,970 --> 00:31:04,290 +fall is equal to the angle of inversion And this + +474 +00:31:04,290 --> 00:31:07,710 +is very clear, if the angle of fall is 45, then + +475 +00:31:07,710 --> 00:31:09,750 +immediately I know that the angle of inversion is + +476 +00:31:09,750 --> 00:31:16,070 +45 41 and 3 out of 10, then the angle of inversion + +477 +00:31:16,070 --> 00:31:17,870 +is 41 and 3 out of 10 + +478 +00:31:48,880 --> 00:31:55,660 +The law of + +479 +00:31:55,660 --> 00:32:01,900 +reflection states thatThe reflected ray lies in + +480 +00:32:01,900 --> 00:32:05,320 +the same plane as the incident ray and the surface + +481 +00:32:05,320 --> 00:32:11,280 +normal The reflected ray lies in the plane of + +482 +00:32:11,280 --> 00:32:18,400 +incidence and reflection and that theta I is equal + +483 +00:32:18,400 --> 00:32:19,260 +to theta I + +484 +00:32:22,700 --> 00:32:25,600 +The amount of light reflected from a surface + +485 +00:32:25,600 --> 00:32:29,760 +depends on θI and the plane of polarization of + +486 +00:32:29,760 --> 00:32:35,060 +light نرجع احنا بنقول جديش احنا عندنا انعكس .. + +487 +00:32:35,060 --> 00:32:41,740 +جديش انعكس .. هاي انا عندى حزمة ضوئية مرت .. حزمة + +488 +00:32:41,740 --> 00:32:46,860 +ضوئية مرتpart of it is reversed and part of it is + +489 +00:32:46,860 --> 00:32:50,060 +broken or gone how much of what is reversed and + +490 +00:32:50,060 --> 00:32:54,520 +how much of what is gone this depends on two + +491 +00:32:54,520 --> 00:32:57,500 +things first thing, the angle of fall whether it + +492 +00:32:57,500 --> 00:33:01,120 +is big or small it is known that the bigger the + +493 +00:33:01,120 --> 00:33:04,340 +angle of fall the bigger the angle of fall, let's + +494 +00:33:04,340 --> 00:33:07,000 +enlarge the angle of fall the amount of what is + +495 +00:33:07,000 --> 00:33:09,200 +reversed is more and the amount of what is gone is + +496 +00:33:09,200 --> 00:33:15,480 +lessThe larger the angle of incidence, the greater + +497 +00:33:15,480 --> 00:33:20,000 +is the amount of reflection In other words, the + +498 +00:33:20,000 --> 00:33:22,240 +smaller it is, the greater is the amount of + +499 +00:33:22,240 --> 00:33:29,540 +passage It could be that the slope of these waves + +500 +00:33:29,540 --> 00:33:32,100 +here is high, which means that the amount of + +501 +00:33:32,100 --> 00:33:39,020 +passage .. Or let's .. I mean, let's not connect + +502 +00:33:39,020 --> 00:33:44,580 +it with ..بموضوع الرفع والخمل، يعني كل ما بتكبر + +503 +00:33:44,580 --> 00:33:49,260 +زاوية السقوط، كل ما بتكبر زاوية السقوط، بيكون كمية + +504 +00:33:49,260 --> 00:33:54,780 +المنعكس أكتر، وكل ما بتقل، كل ما بتقل زاوية + +505 +00:33:54,780 --> 00:33:58,660 +السقوط، تصغر زاوية السقوط، بيصير نسبة اللي بمر + +506 +00:33:58,660 --> 00:34:00,940 +أكتر ونسبة اللي منعكس أقل، اذا + +507 +00:34:04,890 --> 00:34:07,790 +The amount of light reflected from a surface + +508 +00:34:07,790 --> 00:34:13,750 +depends on θI Also depends on the plane of + +509 +00:34:13,750 --> 00:34:21,170 +polarization of light Polarization + +510 +00:34:21,170 --> 00:34:22,970 +light Polarization of light depends on the plane + +511 +00:34:22,970 --> 00:34:28,390 +of polarization of light Polarization + +512 +00:34:28,390 --> 00:34:33,810 +of light depends on the plane of polarization of + +513 +00:34:33,810 --> 00:34:37,630 +lightبعتمد على زاوية سقوط الضوء وعلى ال plane of + +514 +00:34:37,630 --> 00:34:43,810 +polarization على ال plane of polarization The + +515 +00:34:43,810 --> 00:34:48,590 +reflectivity at normal incidence is simple and + +516 +00:34:48,590 --> 00:34:51,730 +depends on the optical media bounding the + +517 +00:34:51,730 --> 00:34:55,910 +interface طيب، الآن في حالة خاصة بنقول لو الضوء + +518 +00:34:55,910 --> 00:35:00,010 +سقط عمودي شايفين + +519 +00:35:00,010 --> 00:35:04,420 +إيش يعني سقط عمودي؟ يعني زاوية السقوط صفر زاوية + +520 +00:35:04,420 --> 00:35:08,440 +الانعكاس صفر ممكن يقول انا مش شايفه بينعكس لأ هو + +521 +00:35:08,440 --> 00:35:12,920 +بينعكس على طول الخط بينعكس على طول الخط زاوية + +522 +00:35:12,920 --> 00:35:17,520 +السقوط صفر معناته زاوية الانعكاس صفر ليش لإن حسب + +523 +00:35:17,520 --> 00:35:23,640 +قانون الانعكاس θ I تساوي θ A يعني حزمة ضوئية سقطت + +524 +00:35:23,640 --> 00:35:29,880 +عموديا normal incidenceعلى سطح فاصل بين المادة سين + +525 +00:35:29,880 --> 00:35:34,200 +والمادة صاد، تمام؟ هذا السطح الفاصل بين المادة سين + +526 +00:35:34,200 --> 00:35:37,680 +والمادة صاد، الضوء صفت عليه عمودي، هيحصل معاه + +527 +00:35:37,680 --> 00:35:40,600 +التلت شغلات اللي حكينا عنهم، جزء هيتحول لحرارة، + +528 +00:35:40,600 --> 00:35:44,720 +هذا مش موضوعنا، جزء هيمر أيضا مش موضوعنا، لإن احنا + +529 +00:35:44,720 --> 00:35:47,600 +موضوعنا الجزء التالت، اللي هو الجزء اللي هينعكس + +530 +00:35:48,220 --> 00:35:52,260 +الجزء اللى هينعكس، هينعكس على طول الخط، سقط عموديا + +531 +00:35:52,260 --> 00:35:56,460 +على السطح الفاصل، بنعكس عموديا، بس السؤال جداش + +532 +00:35:56,460 --> 00:36:01,600 +كميته، جداش كميته، اذا the reflectivity at normal + +533 +00:36:01,600 --> 00:36:06,220 +incidence is simpleand depends only on the optical + +534 +00:36:06,220 --> 00:36:10,760 +media bounding the interface Reflectivity in the + +535 +00:36:10,760 --> 00:36:14,000 +case of vertical fall, the reflection occurs in + +536 +00:36:14,000 --> 00:36:17,320 +the case of a simple vertical fall, and depends on + +537 +00:36:17,320 --> 00:36:19,660 +the nature of the two substances, the synapses + +538 +00:36:19,660 --> 00:36:24,400 +that surround the optical interface. The + +539 +00:36:24,400 --> 00:36:29,640 +reflection coefficient in the case of vertical + +540 +00:36:29,640 --> 00:36:34,720 +fall,In the case of vertical fall, the factor of + +541 +00:36:34,720 --> 00:36:38,000 +inversion provides me with the following equation + +542 +00:36:38,000 --> 00:36:43,300 +N2 minus Ni N2 which is the factor of contraction + +543 +00:36:43,300 --> 00:36:45,440 +of the second material to which the light is going + +544 +00:36:45,440 --> 00:36:54,380 +to N2 minus Ni over N2 plus Ni squared So let's + +545 +00:36:54,380 --> 00:37:01,020 +see the drawing hereNi, N for incident medium, the + +546 +00:37:01,020 --> 00:37:03,580 +substance from which light comes. So what is N? We + +547 +00:37:03,580 --> 00:37:07,420 +said that N is the factor of contraction, the + +548 +00:37:07,420 --> 00:37:09,900 +factor of contraction. So here, for example, I + +549 +00:37:09,900 --> 00:37:12,780 +have a substance whose density is between water + +550 +00:37:12,780 --> 00:37:18,600 +and glass, that is, its refractive index is 1.393 + +551 +00:37:18,600 --> 00:37:23,800 +And the light will go from it and fall from it + +552 +00:37:23,800 --> 00:37:26,180 +towards the water, for example + +553 +00:37:30,840 --> 00:37:34,620 +It's different, there's a difference in the + +554 +00:37:34,620 --> 00:37:38,180 +coefficient of the substance C and the substance + +555 +00:37:38,180 --> 00:37:43,900 +number 2, we want to call it number 2 So, n2 minus + +556 +00:37:43,900 --> 00:37:48,260 +ni divided by n2 plus ni, the square root of each, + +557 +00:37:48,720 --> 00:37:52,860 +this gives me a equation, this equation gives me + +558 +00:37:52,860 --> 00:37:56,320 +the coefficient or reflection coefficient + +559 +00:37:59,880 --> 00:38:06,500 +in the case of vertical fall. Okay, the reflection + +560 +00:38:06,500 --> 00:38:11,880 +coefficient is used to calculate the amount of + +561 +00:38:11,880 --> 00:38:15,560 +light transmitted at an optical interface if + +562 +00:38:15,560 --> 00:38:19,380 +absorption losses are minimal. This reflection + +563 +00:38:19,380 --> 00:38:23,720 +coefficient is used in the case of vertical fall. + +564 +00:38:23,900 --> 00:38:30,620 +When I find it, I can calculateI can calculate how + +565 +00:38:30,620 --> 00:38:33,720 +much of the rays that passed from everything that + +566 +00:38:33,720 --> 00:38:37,040 +fell, how much of the rays that passed, because I + +567 +00:38:37,040 --> 00:38:39,940 +know how much reflected, provided that the amount + +568 +00:38:39,940 --> 00:38:43,040 +that turned into heat is a small amount that can + +569 +00:38:43,040 --> 00:38:46,060 +be neglected, so if I know how much reflected, for + +570 +00:38:46,060 --> 00:38:49,980 +example, 2% reflected, it means that 98% passed. + +571 +00:38:50,060 --> 00:38:52,120 +Well, what about what fell? What fell is very + +572 +00:38:52,120 --> 00:38:57,160 +little to the extent that we can neglect it + +573 +00:38:57,300 --> 00:39:01,320 +وبالتالي بواسطة reflection coefficient بقدر أعرف ل + +574 +00:39:01,320 --> 00:39:05,800 +transmitted light على ال optical interface اتجاه + +575 +00:39:05,800 --> 00:39:09,220 +المادة التانية if absorption losses are minimal + +576 +00:39:09,220 --> 00:39:16,000 +هنصل لقانون الانكسار وإلى الانكسار المنظم ويعطيكم + +577 +00:39:16,000 --> 00:39:19,440 +العافية والسلام عليكم ورحمة الله وبركاته diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0.srt new file mode 100644 index 0000000000000000000000000000000000000000..f3759cb875a45e2deca7f664ea233b45ef5e6a11 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0.srt @@ -0,0 +1,1605 @@ + +1 +00:00:01,890 --> 00:00:03,130 +In the name of Allah, Most Gracious, Most Merciful + +2 +00:00:03,130 --> 00:00:07,430 +We continue the lectures of Geometric Optics and + +3 +00:00:07,430 --> 00:00:12,190 +we stopped at the subject of virtual objects To + +4 +00:00:12,190 --> 00:00:15,390 +understand the subject of virtual objects, we need + +5 +00:00:15,390 --> 00:00:22,040 +to remember some things, that any real object ال الضوء + +6 +00:00:22,040 --> 00:00:25,880 +منه بيكون divergent، الضوء منه بيكون divergent، هي + +7 +00:00:25,880 --> 00:00:29,880 +أن الشمس مثلا عبارة عن real object، جسم حقيقي، + +8 +00:00:29,880 --> 00:00:36,400 +الضوء بيكون منه، بيصدر منه divergent، بحيث أن + +9 +00:00:36,400 --> 00:00:42,320 +الأشخاص الموجودين في كل مكان، منتشرين، بيصلهم جزء + +10 +00:00:42,320 --> 00:00:45,520 +من هذا الضوء وممكن يرواه في نفس الوقت I mean a + +11 +00:00:45,520 --> 00:00:49,700 +person for example in Gaza, a person in Rafah, a + +12 +00:00:49,700 --> 00:00:54,200 +person in Al Arish, a person in Cairo, etc. All of + +13 +00:00:54,200 --> 00:00:57,000 +them get light and they can notice this sun which + +14 +00:00:57,000 --> 00:01:01,240 +is a real object in the same moment So the real + +15 +00:01:01,240 --> 00:01:03,980 +object, the light comes out of it divergent and + +16 +00:01:03,980 --> 00:01:07,540 +this is clear, I mean in a way that is not related + +17 +00:01:07,540 --> 00:01:13,710 +to it لو عندي ضوء آخر أو جسم آخر مثلا الشمعة و لها + +18 +00:01:13,710 --> 00:01:17,150 +بالشمعة، الأشخاص المحيطين في الشمعة أيضا بيقدروا + +19 +00:01:17,150 --> 00:01:20,350 +يشوفوا الشمعة في نفس الوقت السبب، الضوء بيطلع + +20 +00:01:20,350 --> 00:01:24,050 +منتشر في جميع الاتجاهات، يعني divergent، ال real + +21 +00:01:24,050 --> 00:01:28,310 +object دائما الضوء بيطلع دائما و أبدا، الضوء بيطلع + +22 +00:01:28,310 --> 00:01:33,450 +منه divergent A human can object and say that for + +23 +00:01:33,450 --> 00:01:37,230 +the sun and for the candle, they are natural + +24 +00:01:37,230 --> 00:01:40,110 +sources of light, in another sense that they are + +25 +00:01:40,110 --> 00:01:44,510 +luminous objects We can also say that these words + +26 +00:01:44,510 --> 00:01:53,150 +apply to illuminated objects, because if they are + +27 +00:01:53,150 --> 00:01:55,910 +real objects, they reflect the light that falls on + +28 +00:01:55,910 --> 00:02:00,020 +them in all directions بحيث أنه هذه .. هدولة + +29 +00:02:00,020 --> 00:02:05,740 +الأشخاص في نفس اللحظة ممكن اللي يشوفوا طبعا الشخص + +30 +00:02:05,740 --> 00:02:08,280 +اللي في الوسط رغم أنه مش luminous يعني مش مضيق + +31 +00:02:08,280 --> 00:02:12,740 +بذاته وإنما illuminated بس لأنه جسم حقيقي بيعكس ال + +32 +00:02:12,740 --> 00:02:17,910 +.. الضوء في جميع الاتجاهات لو فرضنا جدلا انه هذا + +33 +00:02:17,910 --> 00:02:22,610 +الشخص اللي واقف في المنتصف الضوء اللي سقط عليه كله + +34 +00:02:22,610 --> 00:02:25,830 +عكسه باتجاه هذا الشخص اذا هذا الشخص هيستطيع رؤيته + +35 +00:02:25,830 --> 00:02:32,950 +بجيه الأشخاص مش هيستطيعوا رؤيته في نفس الوقت فهذا + +36 +00:02:32,950 --> 00:02:36,770 +الكلام طبعا مابيصيرش انه اي جسم حقيقي الضوء بيصدر + +37 +00:02:36,770 --> 00:02:41,190 +منه اذا كان ذاتي الإضاءة او بينعكس منه اذا كان مش + +38 +00:02:41,190 --> 00:02:47,110 +ذاتي الإضاءة في جميع الاتجاهات اذا وصلنا لنقطة Or a + +39 +00:02:47,110 --> 00:02:50,930 +sentence or a rule is that the real object is + +40 +00:02:50,930 --> 00:02:54,850 +always divergent from it, is always divergent from + +41 +00:02:54,850 --> 00:02:58,770 +it Now we want to go to the issue of the virtual + +42 +00:02:58,770 --> 00:03:01,350 +object, we say we will present to the virtual + +43 +00:03:01,350 --> 00:03:05,630 +object For example, for example, we say as follows, + +44 +00:03:05,630 --> 00:03:09,550 +I have an object 50 cm away from a lens, its force + +45 +00:03:09,550 --> 00:03:13,750 +is plus 3 diopters, we want to know where the + +46 +00:03:13,750 --> 00:03:15,930 +image will be formed, where the image will be + +47 +00:03:15,930 --> 00:03:19,250 +formed, we want to solve the problem by means of + +48 +00:03:19,250 --> 00:03:23,050 +convergence calculations, we say U is equal to + +49 +00:03:23,700 --> 00:03:26,960 +Negative N over O Why negative? Because the light + +50 +00:03:26,960 --> 00:03:29,720 +is divergent Why divergent? Because this is a real + +51 +00:03:29,720 --> 00:03:33,080 +body standing in front of a lens Standing in front + +52 +00:03:33,080 --> 00:03:36,160 +of a lens Of course it is equal to negative one + +53 +00:03:36,160 --> 00:03:39,560 +over half a meter which is fifty centimeters, half + +54 +00:03:39,560 --> 00:03:44,980 +a meter And it is equal to negative two diopters + +55 +00:03:44,980 --> 00:03:46,860 +So the light will reach the surface of the lens + +56 +00:03:46,860 --> 00:03:51,460 +with a magnitude of negative two diopters + +57 +00:03:56,570 --> 00:03:59,650 +It means that the amplitude of the light is minus + +58 +00:03:59,650 --> 00:04:03,450 +2 which means it is divergent by 2 diopter or it + +59 +00:04:03,450 --> 00:04:06,410 +will come out like this we want to see how much is + +60 +00:04:06,410 --> 00:04:13,670 +V we say as follows U plus P is + +61 +00:04:13,670 --> 00:04:17,510 +equal to V U + +62 +00:04:17,510 --> 00:04:23,030 +which is minus 2 diopter and power plus 3 diopter + +63 +00:04:23,960 --> 00:04:30,700 +يساوي V، إذا V تساوي plus واحد ديوبتر، إيش يعني + +64 +00:04:30,700 --> 00:04:35,000 +plus واحد ديوبتر، يعني الضوء هيخرج متجمع بمقدار + +65 +00:04:35,000 --> 00:04:39,260 +واحد ديوبتر، بمقدار واحد ديوبتر بعد ما يغادر، يعني + +66 +00:04:39,260 --> 00:04:43,360 +انجلبت حالة الضوء من متشتت بمقدار اتنين لمتجمع + +67 +00:04:43,360 --> 00:04:48,960 +بمقدار واحد، طالما ضوء متجمع بمقدار واحد ديوبتر So + +68 +00:04:48,960 --> 00:04:53,720 +it will gather and form a real picture on a + +69 +00:04:53,720 --> 00:04:55,360 +distance of what? Where is the distance of this + +70 +00:04:55,360 --> 00:04:59,520 +picture? We say that V is equal to infinity over I + +71 +00:04:59,520 --> 00:05:03,400 +over + +72 +00:05:03,400 --> 00:05:11,260 +I So I is equal to infinity over V and + +73 +00:05:11,260 --> 00:05:16,340 +is equal to one over one condition because it's in + +74 +00:05:16,340 --> 00:05:21,400 +the air on plus one diopter and it equals plus one + +75 +00:05:21,400 --> 00:05:23,640 +and the diopter which is one meter minus one in + +76 +00:05:23,640 --> 00:05:25,800 +the position when it comes out it becomes one + +77 +00:05:25,800 --> 00:05:30,460 +meter so the picture will be formed on one meter + +78 +00:05:30,460 --> 00:05:32,260 +distance on the right of the lens which is the + +79 +00:05:32,260 --> 00:05:34,660 +distance that we referred to with the word one + +80 +00:05:34,660 --> 00:05:37,620 +meter or with the number one meter which means the + +81 +00:05:37,620 --> 00:05:39,900 +picture will be here the picture will be here of + +82 +00:05:39,900 --> 00:05:42,200 +course it will be upside down picture we will say + +83 +00:05:42,200 --> 00:05:42,940 +why upside down + +84 +00:05:45,820 --> 00:05:53,960 +The true image of the speaker is collected And + +85 +00:05:53,960 --> 00:06:02,820 +The + +86 +00:06:02,820 --> 00:06:08,060 +transphase magnification is one meter of course + +87 +00:06:08,060 --> 00:06:10,800 +The TM + +88 +00:06:20,180 --> 00:06:27,900 +is equal to U over V is equal to minus two diopter + +89 +00:06:27,900 --> 00:06:34,940 +over plus one diopter minus two which is U plus + +90 +00:06:34,940 --> 00:06:39,900 +one plus + +91 +00:06:39,900 --> 00:06:47,840 +one diopter which is V is equal to X minus two X + +92 +00:06:47,840 --> 00:06:53,450 +minus pardon two So for Transface Magnification x-2 + +93 +00:06:53,450 --> 00:07:04,090 +This + +94 +00:07:04,090 --> 00:07:06,670 +is how the example ended, but this is not our + +95 +00:07:06,670 --> 00:07:10,750 +topic Our topic is the virtual object What is its + +96 +00:07:10,750 --> 00:07:14,770 +relation to the virtual object? During the light + +97 +00:07:18,710 --> 00:07:23,390 +لتكوين الصورة بعد مقادر العدسة كيف حالته التشتتية؟ + +98 +00:07:23,390 --> 00:07:27,170 +حالته التشتتية convergent light Convergent light + +99 +00:07:27,170 --> 00:07:34,270 +احنا بنروح نحط في طريقه عدسة عدسة قبل ما يلحق يكون + +100 +00:07:34,270 --> 00:07:40,170 +الصورة بتاعته طيب الآن اذا حطينا في طريقه عدسة This + +101 +00:07:40,170 --> 00:07:42,790 +is for the first time, and for the first time we + +102 +00:07:42,790 --> 00:07:45,410 +give an example that the light hits the surface of + +103 +00:07:45,410 --> 00:07:48,410 +the front lens while it is convergent, always the + +104 +00:07:48,410 --> 00:07:51,350 +light reaches the surface of the lens divergent, + +105 +00:07:51,750 --> 00:07:55,090 +this time convergent, convergent, the case of the + +106 +00:07:55,090 --> 00:07:59,250 +curvature convergent, okay Now the scientists + +107 +00:07:59,250 --> 00:08:03,070 +said, in order to know how to deal with the other + +108 +00:08:03,070 --> 00:08:08,190 +lens, we need to bring its body, okay وين جسمها؟ + +109 +00:08:08,190 --> 00:08:11,970 +صورة العدسة الأولى وين صورة العدسة الأولى؟ اللى + +110 +00:08:11,970 --> 00:08:16,950 +مشارقلها باللون الأحمر بس صورة العدسة الأولى عشان + +111 +00:08:16,950 --> 00:08:23,270 +نعتبرها object object وهى هتعتبر في علم ال + +112 +00:08:23,270 --> 00:08:26,670 +geometrical optics object ولكن المرة هى ال object + +113 +00:08:26,670 --> 00:08:31,710 +جاى عاليمين والضوء هيصطدم في سطح العين العدسة + +114 +00:08:31,710 --> 00:08:37,850 +الأمامى وهو convergent مش divergent طيب إذن هذا ال + +115 +00:08:37,850 --> 00:08:40,990 +object غير حقيقي، ليش؟ لأن لو object حقيقي، الضوء + +116 +00:08:40,990 --> 00:08:45,830 +لازم يطلع منه divergent، divergent، divergent، + +117 +00:08:45,830 --> 00:08:49,690 +سواء مضيق بذاته أو مضاع وعكس، سواء مضيق بذاته أو + +118 +00:08:49,690 --> 00:08:57,890 +مضاع وعكس، إذا الضوء وصل للعدسة، وصل للعدسة وهو + +119 +00:08:57,890 --> 00:09:02,530 +convergent، وهو convergent يعني مش divergent إذا + +120 +00:09:02,530 --> 00:09:07,750 +أن هو صادر، بعتبروا العلماء صادر من جسم تخيلي طب + +121 +00:09:07,750 --> 00:09:11,370 +إيش اللي هيصير عندي في هذه القضية؟ إيش اللي هيصير + +122 +00:09:11,370 --> 00:09:15,290 +عندي في هذه القضية؟ بنقول كالقادة، العدسة هاي + +123 +00:09:15,290 --> 00:09:20,030 +هنحطها إحنا، طبعا شيلناها، رجعنا للمسألة الأصلية، + +124 +00:09:20,030 --> 00:09:24,240 +هاي العدسة الأولى وهي الصورة بتاعتها عبعد متر، بده + +125 +00:09:24,240 --> 00:09:28,320 +أحط أنا عبعد نص متر من العدسة الأولى، يعني المسافة + +126 +00:09:28,320 --> 00:09:31,620 +هاي نص متر والمسافة هاي نص متر، المسافة الكلية + +127 +00:09:31,620 --> 00:09:38,540 +متر، بدنا نحط، بدنا نحط عدسة عبعد خمسين سانتي، + +128 +00:09:38,540 --> 00:09:46,940 +عبعد خمسين سانتي من العدسة الأولى، خمسين سانتي بما + +129 +00:09:46,940 --> 00:09:49,920 +أنه المسافة الكلية بين الصورة الأولى اللي هي + +130 +00:09:49,920 --> 00:09:53,760 +باللون الأحمر و العدسة الأولى اللى هى باللون الأزرق + +131 +00:09:53,760 --> 00:09:59,100 +المسافة بينهم واحد متر والمسافة بين العدستين نص + +132 +00:09:59,100 --> 00:10:03,760 +متر اذا المسافة هى المتبقية المتبقية ايضا نص متر + +133 +00:10:03,760 --> 00:10:10,960 +ايضا نص متر هذه + +134 +00:10:10,960 --> 00:10:16,720 +المسافة ايضا خمسين صنط اللى هى نص متر احنا اتفقنا + +135 +00:10:16,720 --> 00:10:17,620 +على قاعدة + +136 +00:10:20,370 --> 00:10:23,470 +that the picture of the first lens is a body for + +137 +00:10:23,470 --> 00:10:27,010 +the second lens the picture of the first lens is a + +138 +00:10:27,010 --> 00:10:30,370 +body for the second lens this picture of the first + +139 +00:10:30,370 --> 00:10:34,330 +lens is considered a body for the second lens an + +140 +00:10:34,330 --> 00:10:37,130 +imaginary body because it's on the right and + +141 +00:10:37,130 --> 00:10:39,670 +because it's not like the real bodies, light + +142 +00:10:39,670 --> 00:10:43,110 +reaches the lens body means light is supposed to + +143 +00:10:43,110 --> 00:10:47,710 +reach the lens from it طب هو جاي عن ناحية الخلفية + +144 +00:10:47,710 --> 00:10:51,310 +من العدسة كيف بده يصل الدوق طبعا احنا متفقين في ال + +145 +00:10:51,310 --> 00:10:54,830 +geometric optics .. في ال geometric optics ان + +146 +00:10:54,830 --> 00:10:58,610 +الدوق بيتحرك دائما من الشمال لليمين يعني الدوق مش + +147 +00:10:58,610 --> 00:11:02,250 +هيصل لهدي الصورة يكونها و بعدين يلف و يرجع عشان + +148 +00:11:02,250 --> 00:11:06,530 +يتحرك من الشمال لليمين لأ هو الدوق ماشي في طريقه + +149 +00:11:06,530 --> 00:11:11,740 +بدنا نتخيل تخيل انه تكونت صورة هنا Of course, the + +150 +00:11:11,740 --> 00:11:14,520 +image here is real, why? Because if we remove this + +151 +00:11:14,520 --> 00:11:16,940 +lens and bring a screen, we can see it because the + +152 +00:11:16,940 --> 00:11:21,140 +rays are convergent It is a real image, but at the + +153 +00:11:21,140 --> 00:11:23,740 +same time, it is an imaginary body, why? Because + +154 +00:11:23,740 --> 00:11:27,300 +the conditions of the real body do not apply to it + +155 +00:11:27,300 --> 00:11:29,860 +What are the conditions of the real body? We said + +156 +00:11:29,860 --> 00:11:33,000 +that the real body must have a divergent light, + +157 +00:11:33,040 --> 00:11:36,680 +must have a divergent light Scientists agreed that + +158 +00:11:36,680 --> 00:11:42,110 +each body كل جسم الضوء بيصل منه divergent للسطح + +159 +00:11:42,110 --> 00:11:47,730 +الأمامي من العدسة هو جسم حقيقي وكل جسم بيصل الضوء + +160 +00:11:47,730 --> 00:11:51,950 +convergent للسطح الأمامي للعدسة هو جسم تخيلي جسم + +161 +00:11:51,950 --> 00:11:58,590 +تخيلي لأنه عن ناحية التانية من العدسة يعني الضوء + +162 +00:11:58,590 --> 00:12:03,410 +مفروض بس يغادر يصل الآن لأ هو هنا عن ناحية اليمين + +163 +00:12:04,040 --> 00:12:07,760 +We don't call it the wrong way, but the light is + +164 +00:12:07,760 --> 00:12:11,860 +coming in its way to form this image, which we + +165 +00:12:11,860 --> 00:12:13,960 +will consider as the body of the yellow lens, + +166 +00:12:14,740 --> 00:12:16,600 +which collided with the yellow lens before + +167 +00:12:16,600 --> 00:12:18,940 +reaching the formation of image number one, which + +168 +00:12:18,940 --> 00:12:23,270 +is the body number two فاحنا بنتخيل تخيل أنه الضوء + +169 +00:12:23,270 --> 00:12:27,930 +كأنه كوّنلي صورة هنا وكأنه هذه الصورة بدنا نعتبرها + +170 +00:12:27,930 --> 00:12:33,650 +جسم للعدسة التانية وعشان هيك هذا الجسم تخيلي لإنه + +171 +00:12:33,650 --> 00:12:37,810 +الضوء وصل لسطح العدسة وهو convergent الآن بدنا + +172 +00:12:37,810 --> 00:12:42,570 +نكمل المسألة، هذا هو صورة حقيقية وفي نفس الوقت + +173 +00:12:42,570 --> 00:12:46,690 +صورة حقيقية لمين؟ للعدسة الأولى، للعدسة الأولى وفي + +174 +00:12:46,690 --> 00:12:52,460 +نفس الوقت جسم تخيلي للعدسة التانية How far is this + +175 +00:12:52,460 --> 00:12:54,560 +object away from the other lens? 50 cm to the + +176 +00:12:54,560 --> 00:12:59,140 +right Now we solve this problem in the way we see + +177 +00:12:59,140 --> 00:13:07,760 +it We say U is equal to plus N over O Why plus N + +178 +00:13:07,760 --> 00:13:11,120 +over O? We always solve by saying minus N over O + +179 +00:13:11,120 --> 00:13:15,560 +Of course, the other lens is here Its force is + +180 +00:13:15,560 --> 00:13:18,080 +plus 2 diopter So that we don't forget the force + +181 +00:13:24,160 --> 00:13:31,080 +plus two this is greater than plus two + +182 +00:13:31,080 --> 00:13:33,200 +this is greater than plus two this is greater than + +183 +00:13:33,200 --> 00:13:34,460 +plus two this is greater than plus two this is + +184 +00:13:34,460 --> 00:13:34,500 +two this is greater than plus two this is greater + +185 +00:13:34,500 --> 00:13:34,640 +than plus two this is greater than plus two this + +186 +00:13:34,640 --> 00:13:34,660 +is greater than plus two this is greater than plus + +187 +00:13:34,660 --> 00:13:34,820 +than plus two this is greater than plus two this + +1 + +223 +00:16:45,810 --> 00:16:53,630 +So, this is the final image, which is yellow, 25 + +224 +00:16:53,630 --> 00:16:56,850 +cm away from the lens, which is 25 cm away from + +225 +00:16:56,850 --> 00:17:01,430 +the previous image, which is half the distance, + +226 +00:17:01,510 --> 00:17:03,590 +which is half the distance, this is the final + +227 +00:17:03,590 --> 00:17:05,930 +image, the final image + +228 +00:17:09,310 --> 00:17:12,850 +The light comes in versions plus, and we also put + +229 +00:17:12,850 --> 00:17:17,710 +a plus lens on it, it gets closer to the final + +230 +00:17:17,710 --> 00:17:20,050 +image of the lens, that is, image number two is + +231 +00:17:20,050 --> 00:17:22,410 +closer to image number one, this image number one + +232 +00:17:22,410 --> 00:17:24,790 +means that of the first lens, and this image + +233 +00:17:24,790 --> 00:17:27,450 +number two is closer, we always know that the + +234 +00:17:27,450 --> 00:17:29,890 +image number two is after image number one, yes, + +235 +00:17:29,970 --> 00:17:32,390 +but here the matter is different because This + +236 +00:17:32,390 --> 00:17:35,330 +picture number 1 is a virtual object What does + +237 +00:17:35,330 --> 00:17:38,630 +virtual object mean? It does not take from the + +238 +00:17:38,630 --> 00:17:40,910 +power of the lens, it adds to the power of the + +239 +00:17:40,910 --> 00:17:45,770 +lens It is the accumulation of light plus 2, and + +240 +00:17:45,770 --> 00:17:48,810 +the lens added what it has which is plus 2, so I + +241 +00:17:48,810 --> 00:17:52,290 +have V plus 4, which is light, which is the + +242 +00:17:52,290 --> 00:17:55,830 +accumulation of this object Of course, to transfer + +243 +00:17:55,830 --> 00:17:59,430 +magnification, to complete the matter, which is + +244 +00:17:59,430 --> 00:18:11,580 +TM2TM2 is equal to U over V U over V is equal to + +245 +00:18:11,580 --> 00:18:18,260 +plus 2 over plus 4 so plus 2 is negative over plus + +246 +00:18:18,260 --> 00:18:25,680 +4 is positive and is equal to X plus over plus + +247 +00:18:25,680 --> 00:18:32,270 +plus and 2 over 4 is half and the negativehe goes + +248 +00:18:32,270 --> 00:18:36,550 +away, he wants to leave, he goes away, so x plus + +249 +00:18:36,550 --> 00:18:42,390 +half means the picture is regular, regular like + +250 +00:18:42,390 --> 00:18:47,150 +its body what does it mean regular like its body, + +251 +00:18:47,490 --> 00:18:51,070 +it is necessary to understand this issue, regular + +252 +00:18:52,240 --> 00:18:54,300 +means that its direction is the same as the + +253 +00:18:54,300 --> 00:18:56,040 +direction of the body you can say that I'm upside + +254 +00:18:56,040 --> 00:18:57,820 +down in the picture, yes as long as it's upside + +255 +00:18:57,820 --> 00:18:59,860 +down like its body, this is its body and this is + +256 +00:18:59,860 --> 00:19:02,340 +the final picture its direction is the same as the + +257 +00:19:02,340 --> 00:19:05,180 +direction of the body, we call it vertical upside + +258 +00:19:05,180 --> 00:19:07,380 +down means upside down relative to its body if its + +259 +00:19:07,380 --> 00:19:12,960 +body is down, it means it's up so x plus half is a + +260 +00:19:12,960 --> 00:19:15,800 +vertical picture like its body and its height is + +261 +00:19:15,800 --> 00:19:17,320 +exactly half of its height and we get the total + +262 +00:19:21,620 --> 00:19:31,500 +transfers magnification يساوي + +263 +00:19:31,500 --> 00:19:46,020 +TM1 فيTM2 يعني minus 2 ضرب plus نص ضرب + +264 +00:19:46,020 --> 00:19:49,440 +plus نص ويساوي + +265 +00:19:51,000 --> 00:19:57,600 +x minus one, x minus one, what does x minus one + +266 +00:19:57,600 --> 00:20:01,860 +mean? It means that the final picture, the final + +267 +00:20:01,860 --> 00:20:07,660 +picture is + +268 +00:20:07,660 --> 00:20:11,900 +inverted relative to the original body and its + +269 +00:20:11,900 --> 00:20:12,660 +height is really high + +270 +00:20:20,950 --> 00:20:26,110 +الصورة النهائية ال final image ارتفاعها جد ارتفاع + +271 +00:20:26,110 --> 00:20:30,530 +ارتفاعها جد ارتفاعها هذه فكرة ال virtual object ال + +272 +00:20:30,530 --> 00:20:38,680 +virtual object هو ضوء رايح يتجمع رايح يتجمععشان + +273 +00:20:38,680 --> 00:20:43,080 +يكونلي صورة قبل ما يلحق يتجمعوه في طريقه وقاعدة + +274 +00:20:43,080 --> 00:20:46,280 +الأشعة بتقترب من بعض واحنا حاطينا عدسة في طريقه + +275 +00:20:46,280 --> 00:20:49,980 +لما بنحط عدسة في طريقه قبل ما يصل أنه يكون الصورة، + +276 +00:20:49,980 --> 00:20:53,430 +يعني هاد الصورة حقيقية But if we come now with a + +277 +00:20:53,430 --> 00:20:56,830 +screen, with a screen, a pencil and a sheet of A4 + +278 +00:20:56,830 --> 00:20:59,010 +paper, we will not find the real picture, why? + +279 +00:20:59,390 --> 00:21:02,890 +Because its light is going to accumulate to form + +280 +00:21:02,890 --> 00:21:06,330 +it, we put a lens in its way, its accumulation + +281 +00:21:06,330 --> 00:21:09,130 +increased, so it got closer to a place, it got + +282 +00:21:09,130 --> 00:21:10,790 +closer to a place, and of course this will be the + +283 +00:21:10,790 --> 00:21:14,010 +picture of the second lens, so it is a real + +284 +00:21:14,010 --> 00:21:16,430 +picture because the rays are going to accumulate, + +285 +00:21:16,550 --> 00:21:19,270 +but an imaginary body, why an imaginary body for + +286 +00:21:19,270 --> 00:21:24,780 +the second lens? Becausetaste of it .. taste of it + +287 +00:21:24,780 --> 00:21:26,740 +.. if we consider it to be the body of other + +288 +00:21:26,740 --> 00:21:29,280 +lenses .. taste of it is convergent and this does + +289 +00:21:29,280 --> 00:21:32,800 +not happen in real bodies in the examples we gave + +290 +00:21:32,800 --> 00:21:36,380 +Now there is a simulation we want to see and we + +291 +00:21:36,380 --> 00:21:41,560 +try to stick to it هي انا عندي طبعا العدسة في ال + +292 +00:21:41,560 --> 00:21:47,320 +simulation مرموز لها ب .. يعني خط ذو ساهمين العدسة + +293 +00:21:47,320 --> 00:21:51,480 +ال plus زي هيك العدسة ال plus زي هيك ساهمين العدسة + +294 +00:21:51,480 --> 00:21:59,580 +ال minus لها شكل تاني لها شكل تاني فبالتالي يعني + +295 +00:21:59,580 --> 00:22:04,180 +هنصل لموضوع العدسة ال minus في حين الان هى عندي + +296 +00:22:04,180 --> 00:22:12,720 +عدسة plusوبدنا نتخيل أنه العدسة على + +297 +00:22:12,720 --> 00:22:20,960 +بعد نص متر هنا + +298 +00:22:20,960 --> 00:22:23,080 +قوة العدسة بدنا نتحكم فيها + +299 +00:22:37,250 --> 00:22:41,690 +Not this way, let's explain the idea without the + +300 +00:22:41,690 --> 00:22:48,050 +ruler, without the measures Without + +301 +00:22:48,050 --> 00:22:53,510 +the measures, here I have a plus lens and here I + +302 +00:22:53,510 --> 00:22:55,510 +have an object + +303 +00:23:01,610 --> 00:23:05,170 +الصورة هتتكون في المكان هذا الصورة هتتكون في + +304 +00:23:05,170 --> 00:23:10,110 +المكان هذا على بعد معين من العدسة ملاحظين ان + +305 +00:23:10,110 --> 00:23:15,190 +الاشعة convergent الان بدنا ننظر للمكان هذا لما + +306 +00:23:15,190 --> 00:23:19,110 +نضيف العدسة رقم اتنين لما العدسة رقم اتنين هنضيفها + +307 +00:23:20,290 --> 00:23:24,550 +طبعا هيضرب في سطحها الأمامي الضوء بشكل convergent + +308 +00:23:24,550 --> 00:23:28,350 +إذا صورة العدسة الأولى اللى هى هنا هتكون مكان + +309 +00:23:28,350 --> 00:23:32,630 +التقاء الأشعة هى صورة العدسة الأولى هتصبح جسم + +310 +00:23:32,630 --> 00:23:36,050 +للعدسة التانية بس جسم جاى على اليمين يعنى بمعنى + +311 +00:23:36,050 --> 00:23:40,590 +آخر اللى هيضرب في السطح الأمامى للعدسة convergent + +312 +00:23:40,590 --> 00:23:45,030 +ريه فهيكون جسمVirtual, virtual object فلمّا + +313 +00:23:45,030 --> 00:23:48,490 +virtual object, convergent ray تصطدم بسطح العدسة + +314 +00:23:48,490 --> 00:23:53,450 +التانية أنا لسه ما حطيت العدسة التانية ولمّا أحطها + +315 +00:23:53,450 --> 00:23:57,650 +هيكون اللي بصطدم في سطحها الأمامي Convergent ray + +316 +00:23:57,650 --> 00:24:00,930 +is a virtual object إذا صورة العدسة الأولى هتكون + +317 +00:24:00,930 --> 00:24:05,450 +عاليمين يعني بمعنى آخر شايفين كيف اقتربت الصورة + +318 +00:24:05,450 --> 00:24:12,870 +النهائية الأشعة كانت رايحة تعمل صورة هنا let's add + +319 +00:24:12,870 --> 00:24:20,150 +the ruler and see + +320 +00:24:20,150 --> 00:24:28,030 +how close it is I will put it at zero which means + +321 +00:24:28,030 --> 00:24:36,290 +this distance is close remove it again which + +322 +00:24:36,290 --> 00:24:40,880 +means this distance is close So here I have a + +323 +00:24:40,880 --> 00:24:44,420 +virtual object, virtual object, virtual object, + +324 +00:24:44,480 --> 00:24:46,520 +why virtual object? The picture was here, the + +325 +00:24:46,520 --> 00:24:51,300 +picture of the first lens, again Notice Here I + +326 +00:24:51,300 --> 00:24:53,240 +have the picture of the first lens, which will be + +327 +00:24:53,240 --> 00:24:56,160 +considered a body compared to the second lens But + +328 +00:24:56,160 --> 00:24:59,440 +is it a real body or not? We see, we put the + +329 +00:24:59,440 --> 00:25:04,000 +second lens And we say, the light that hit the + +330 +00:25:04,000 --> 00:25:06,440 +surface of the second lens coming from the first + +331 +00:25:06,440 --> 00:25:10,850 +lens is convergent It's a real picture of the first + +332 +00:25:10,850 --> 00:25:13,530 +lens, but it's a virtual object of the second + +333 +00:25:13,530 --> 00:25:17,650 +lens. The virtual object gives me convergent rays, + +334 +00:25:18,050 --> 00:25:20,690 +gives me convergent rays, contrary to all the real + +335 +00:25:20,690 --> 00:25:25,590 +objects that give divergent rays. The real object + +336 +00:25:25,590 --> 00:25:29,550 +gives divergent rays divergent, while the virtual + +337 +00:25:29,550 --> 00:25:33,770 +object gives me convergent rays, this is called + +338 +00:25:33,770 --> 00:25:36,810 +virtual because it is impossible to find a real + +339 +00:25:36,810 --> 00:25:39,910 +body that gives out convergent rays, and we hit + +340 +00:25:39,910 --> 00:25:42,090 +the example of the sun and the candle and the + +341 +00:25:42,090 --> 00:25:45,270 +child Adam, and if for example we put a table in + +342 +00:25:45,270 --> 00:25:48,250 +the middle and we put this table and we sit and + +343 +00:25:48,250 --> 00:25:50,570 +look at it, we will all see it from all sides + +344 +00:25:50,570 --> 00:25:54,690 +because it is a real body, a real body, now + +345 +00:25:54,690 --> 00:26:01,490 +recognition has been made on next next in geometric + +346 +00:26:01,490 --> 00:26:06,790 +optics any object any object that emits rays + +347 +00:26:06,790 --> 00:26:10,670 +divergent divergent is considered a real object + +348 +00:26:10,670 --> 00:26:14,330 +even if it is really a real object or a first + +349 +00:26:14,330 --> 00:26:18,570 +image of the lens for example this distance now + +350 +00:26:18,570 --> 00:26:22,810 +this is a real image of the first lens and also a + +351 +00:26:22,810 --> 00:26:26,380 +real object of the second lens why? The image was + +352 +00:26:26,380 --> 00:26:28,980 +formed and then the rays scattered from it, it + +353 +00:26:28,980 --> 00:26:32,820 +will reach the surface of the lens number 2, + +354 +00:26:33,160 --> 00:26:36,060 +number 2, it will reach the surface of the lens + +355 +00:26:36,060 --> 00:26:39,160 +number 2, it will reach scattered, then this is a + +356 +00:26:39,160 --> 00:26:41,020 +real body and at the same time because they are + +357 +00:26:41,020 --> 00:26:44,380 +collected rays, a real image, I can capture it on + +358 +00:26:44,380 --> 00:26:48,000 +screen Okay, same problem, I will not change + +359 +00:26:48,000 --> 00:26:52,460 +anything, Allahumma here, put the other lens here + +360 +00:26:54,430 --> 00:26:57,990 +الاشعة متجمعة لطالع من العدسة الأولى، إذا الصورة + +361 +00:26:57,990 --> 00:27:02,630 +حقيقية طالما الأشعة متجمعة طيب، بس قبل ما تلحج، + +362 +00:27:02,630 --> 00:27:06,590 +اتكون الصورة، إجت العدسة التانية وقفت في طريقها، + +363 +00:27:06,590 --> 00:27:12,530 +العدسة التانية، سطحها الأمامي، تلقى الأشعة متجمعة، + +364 +00:27:12,530 --> 00:27:16,490 +إذا صورة العدسة الأولى صورة حقيقية، ليش؟ لأن ال V + +365 +00:27:16,490 --> 00:27:22,450 +بال plus، ال V بال plus، طيب This is the picture of + +366 +00:27:22,450 --> 00:27:24,810 +the first lens, which we consider to be the body + +367 +00:27:24,810 --> 00:27:28,550 +of the second lens, which is its real place, as we + +368 +00:27:28,550 --> 00:27:32,070 +will see now. This is its real place here. If we + +369 +00:27:32,070 --> 00:27:34,110 +put another lens through the collected rays, + +370 +00:27:37,210 --> 00:27:41,630 +the rays will collide.in the second lens in case + +371 +00:27:41,630 --> 00:27:44,870 +of convergence, not divergence, then a real + +372 +00:27:44,870 --> 00:27:46,890 +picture, the first picture, the first picture of + +373 +00:27:46,890 --> 00:27:48,870 +the lens is a real picture, but the body is + +374 +00:27:48,870 --> 00:27:53,530 +imaginary to the second lens Okay, now the same + +375 +00:27:53,530 --> 00:27:57,410 +thing, I put the second lens, but after the + +376 +00:27:57,410 --> 00:27:59,750 +picture was formed, the picture was formed, things + +377 +00:27:59,750 --> 00:28:03,610 +met and then became divergent again, this is a + +378 +00:28:03,610 --> 00:28:15,020 +real picture صورة رقم واحد صورة حقيقية الصورة + +379 +00:28:15,020 --> 00:28:16,920 +رقم واحد صورة حقيقية الصورة رقم واحد صورة حقيقية + +380 +00:28:16,920 --> 00:28:18,340 +حقيقية صورة رقم واحد صورة حقيقية صورة رقم واحد + +381 +00:28:18,340 --> 00:28:19,220 +صورة رقم واحد صورة رقم واحد صورة رقم واحد صورة رقم + +382 +00:28:19,220 --> 00:28:22,040 +واحد صورة رقم واحد صورة رقم واحد صورة رقم واحد + +383 +00:28:22,040 --> 00:28:27,760 +صورة رقم واحد صورة رقم واحد صورة رقم واحد صورة رقم + +384 +00:28:27,760 --> 00:28:32,340 +واحد صورة رقم واحد صورة رقم واحد صورة رقم واحد + +385 +00:28:32,340 --> 00:28:32,480 +صورة رقم واحد صورة رقم + +386 +00:28:40,650 --> 00:28:51,710 +بالنسبة regarding to object ايش + +387 +00:28:51,710 --> 00:28:58,390 +regarding to object نشوف، نقول if u + +388 +00:28:58,390 --> 00:29:01,670 +ال virgin is minus + +389 +00:29:08,250 --> 00:29:14,370 +this will be my real object if + +390 +00:29:14,370 --> 00:29:19,390 +you is + +391 +00:29:19,390 --> 00:29:23,250 +your reduced object convergence is the light that + +392 +00:29:23,250 --> 00:29:27,690 +reached if + +393 +00:29:27,690 --> 00:29:31,490 +u plus is convergent we are talking about the + +394 +00:29:31,490 --> 00:29:37,810 +object virtual object okay + +395 +00:29:39,220 --> 00:29:47,380 +regarding to image if + +396 +00:29:47,380 --> 00:29:54,980 +v when we talk about image we talk about v is plus + +397 +00:29:54,980 --> 00:29:59,700 +the + +398 +00:29:59,700 --> 00:29:59,980 +real image + +399 +00:30:08,220 --> 00:30:19,080 +if v is minus image + +400 +00:30:19,080 --> 00:30:19,700 +is virtual + +401 +00:30:45,550 --> 00:30:49,590 +Let's go back to the simulation and say that I + +402 +00:30:49,590 --> 00:30:55,470 +have two objects, and the first object is the real + +403 +00:30:55,470 --> 00:30:57,790 +object, the basic one that started with the + +404 +00:30:57,790 --> 00:31:00,010 +example, is it real? Of course it is real, things + +405 +00:31:00,010 --> 00:31:02,710 +are divergent from it. Okay, this is object number + +406 +00:31:02,710 --> 00:31:08,000 +two, is it real? areal because the rays are + +407 +00:31:08,000 --> 00:31:10,000 +gathered in the image and then the image is + +408 +00:31:10,000 --> 00:31:12,920 +considered an object for the other lens how did it + +409 +00:31:12,920 --> 00:31:15,580 +reach the other lens? divergent exactly like the + +410 +00:31:15,580 --> 00:31:20,720 +real body ok let's repeat the example again this + +411 +00:31:2 + +445 +00:33:23,820 --> 00:33:25,740 +out of the lens, not going to the lens + +446 +00:33:29,160 --> 00:33:31,680 +Plus means the rays are convergent, the image is + +447 +00:33:31,680 --> 00:33:38,880 +real. But if the rays coming out of the lens, if it + +448 +00:33:38,880 --> 00:33:41,520 +is minus, it means divergent, which means the + +449 +00:33:41,520 --> 00:33:45,240 +image is virtual. Let's see the virtual image, + +450 +00:33:45,260 --> 00:33:54,260 +let's remove this lens. Let's + +451 +00:33:54,260 --> 00:33:55,380 +remove this lens completely. + +452 +00:33:59,970 --> 00:34:09,030 +نعملها delete تمام هاي أنا عندى object أول حاجة هل + +453 +00:34:09,030 --> 00:34:11,890 +هو real object؟ طبعا مش لأنه ال object الأول، الآن + +454 +00:34:11,890 --> 00:34:15,290 +في علم ال geometric optics سواء ال object الأول أو + +455 +00:34:15,290 --> 00:34:18,890 +التانى أو التالت أو الرابع أو العشرين طالما الأشعة + +456 +00:34:18,890 --> 00:34:22,570 +اللى بتصل منه لسطح العدسة الأمامى, divergent فهو + +457 +00:34:22,570 --> 00:34:26,800 +real. Okay, now we are not talking about it, the + +458 +00:34:26,800 --> 00:34:29,720 +rays that came out of the lens are also divergent, + +459 +00:34:29,880 --> 00:34:33,960 +also divergent, then the picture is imaginary, as + +460 +00:34:33,960 --> 00:34:35,300 +long as it is divergent, it means negative + +461 +00:34:35,300 --> 00:34:38,040 +divergence, then the V with minus, the image is + +462 +00:34:38,040 --> 00:34:41,200 +virtual, the image is virtual, okay? So therefore, + +463 +00:34:41,460 --> 00:34:44,080 +it is necessary for us to differentiate between + +464 +00:34:44,080 --> 00:34:47,200 +the real object and the virtual object and the real + +465 +00:34:47,200 --> 00:34:50,740 +image and the virtual image. We stop at this point + +466 +00:34:50,740 --> 00:34:54,800 +and we continue next time, and we will find + +467 +00:34:54,800 --> 00:34:58,640 +exercises on the virtual object in the exercises + +468 +00:34:58,640 --> 00:35:01,560 +section on the mood page. God bless you, and peace + +469 +00:35:01,560 --> 00:35:02,080 +be upon you diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..8f56bf5944217e8e889b9fe470f581784fbd0835 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/pX_U4lQsEB0_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2079, "start": 1.89, "end": 20.79, "text": "In the name of Allah, Most Gracious, Most Merciful We continue the lectures of Geometric Optics and we stopped at the subject of virtual objects To understand the subject of virtual objects, we need to remember some things, that any real object", "tokens": [4575, 264, 1315, 295, 4574, 11, 4534, 20586, 851, 11, 4534, 18897, 2069, 492, 2354, 264, 16564, 295, 2876, 29470, 21455, 1167, 293, 321, 5936, 412, 264, 3983, 295, 6374, 6565, 1407, 1223, 264, 3983, 295, 6374, 6565, 11, 321, 643, 281, 1604, 512, 721, 11, 300, 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Where is the distance of this picture? 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"start": 1479.04, "end": 1507.24, "text": "So here I have a virtual object, virtual object, virtual object, why virtual object? The picture was here, the picture of the first lens, again Notice Here I have the picture of the first lens, which will be considered a body compared to the second lens But is it a real body or not? We see, we put the second lens And we say, the light that hit the surface of the second lens coming from the first lens is convergent", "tokens": [6455, 510, 286, 362, 257, 6374, 2657, 11, 6374, 2657, 11, 6374, 2657, 11, 983, 6374, 2657, 30, 440, 3036, 390, 510, 11, 264, 3036, 295, 264, 700, 6765, 11, 797, 13428, 1692, 286, 362, 264, 3036, 295, 264, 700, 6765, 11, 597, 486, 312, 4888, 257, 1772, 5347, 281, 264, 1150, 6765, 583, 307, 309, 257, 957, 1772, 420, 406, 30, 492, 536, 11, 321, 829, 264, 1150, 6765, 400, 321, 584, 11, 264, 1442, 300, 2045, 264, 3753, 295, 264, 1150, 6765, 1348, 490, 264, 700, 6765, 307, 9652, 6930], "avg_logprob": -0.32846102150537637, "compression_ratio": 2.0341463414634147, "no_speech_prob": 1.6570091247558594e-05, "words": [{"start": 1479.04, "end": 1479.24, "word": "So", "probability": 0.406982421875}, {"start": 1479.24, "end": 1479.78, "word": " here", "probability": 0.4326171875}, {"start": 1479.78, "end": 1480.44, "word": " I", "probability": 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The virtual object gives me convergent rays, gives me convergent rays, contrary to all the real objects that give divergent rays. The real object gives divergent rays", "tokens": [3522, 311, 257, 957, 3036, 295, 264, 700, 6765, 11, 457, 309, 311, 257, 6374, 2657, 295, 264, 1150, 6765, 13, 440, 6374, 2657, 2709, 385, 9652, 6930, 24417, 11, 2709, 385, 9652, 6930, 24417, 11, 19506, 281, 439, 264, 957, 6565, 300, 976, 18558, 6930, 24417, 13, 440, 957, 2657, 2709, 18558, 6930, 24417], "avg_logprob": -0.3713727795651981, "compression_ratio": 1.887218045112782, "no_speech_prob": 0.0011272430419921875, "words": [{"start": 1508.89, "end": 1509.25, "word": "It's", "probability": 0.40924072265625}, {"start": 1509.25, "end": 1509.45, "word": " a", "probability": 0.63818359375}, {"start": 1509.45, "end": 1509.75, "word": " real", "probability": 0.71484375}, {"start": 1509.75, "end": 1509.95, "word": " picture", "probability": 0.309814453125}, {"start": 1509.95, "end": 1510.21, "word": " of", "probability": 0.52587890625}, {"start": 1510.21, "end": 1510.31, "word": " the", "probability": 0.8759765625}, {"start": 1510.31, 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Of course it is real, things are divergent from it. Okay, this is object number two, is it real?", "tokens": [8373, 311, 352, 646, 281, 264, 16575, 293, 584, 300, 286, 362, 732, 6565, 11, 293, 264, 700, 2657, 307, 264, 957, 2657, 11, 264, 3875, 472, 300, 1409, 365, 264, 1365, 11, 307, 309, 957, 30, 2720, 1164, 309, 307, 957, 11, 721, 366, 18558, 6930, 490, 309, 13, 1033, 11, 341, 307, 2657, 1230, 732, 11, 307, 309, 957, 30], "avg_logprob": -0.46676588247692774, "compression_ratio": 1.5987654320987654, "no_speech_prob": 3.4570693969726562e-06, "words": [{"start": 1845.55, "end": 1845.77, "word": "Let's", "probability": 0.528228759765625}, {"start": 1845.77, "end": 1845.93, "word": " go", "probability": 0.69970703125}, {"start": 1845.93, "end": 1845.99, "word": " back", "probability": 0.8740234375}, {"start": 1845.99, "end": 1846.07, "word": " to", "probability": 0.96435546875}, {"start": 1846.07, "end": 1846.17, "word": " the", "probability": 0.5771484375}, {"start": 1846.17, "end": 1846.69, "word": " simulation", "probability": 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exactly like the real body ok let's repeat the example again this is a real object yes a real object ok the lens formed a picture in a place that is out of space this is the place that you can't see now we will move the lens and we will see it this is the place that is out of space now", "tokens": [543, 304, 570, 264, 24417, 366, 13032, 294, 264, 3256, 293, 550, 264, 3256, 307, 4888, 364, 2657, 337, 264, 661, 6765, 577, 630, 309, 2524, 264, 661, 6765, 30, 18558, 6930, 2293, 411, 264, 957, 1772, 3133, 718, 311, 7149, 264, 1365, 797, 341, 307, 257, 957, 2657, 2086, 257, 957, 2657, 3133, 264, 6765, 8693, 257, 3036, 294, 257, 1081, 300, 307, 484, 295, 1901, 341, 307, 264, 1081, 300, 291, 393, 380, 536, 586, 321, 486, 1286, 264, 6765, 293, 321, 486, 536, 309, 341, 307, 264, 1081, 300, 307, 484, 295, 1901, 586], "avg_logprob": -0.5538903225441368, "compression_ratio": 2.009132420091324, "no_speech_prob": 1.710653305053711e-05, "words": [{"start": 1865.78, "end": 1866.26, "word": "areal", 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Convergent rays. V plus. This real image, which has a place of space, is considered an object for the second lens. Is it a real object or a virtual object? Why? Because U is in the plus sign. The rays collected when they hit the surface of the second lens. The second final image.", "tokens": [32, 957, 3256, 13, 2656, 331, 6930, 24417, 13, 691, 1804, 13, 639, 957, 3256, 11, 597, 575, 257, 1081, 295, 1901, 11, 307, 4888, 364, 2657, 337, 264, 1150, 6765, 13, 1119, 309, 257, 957, 2657, 420, 257, 6374, 2657, 30, 1545, 30, 1436, 624, 307, 294, 264, 1804, 1465, 13, 440, 24417, 1263, 39963, 562, 436, 2045, 264, 3753, 295, 264, 1150, 6765, 13, 440, 1150, 2572, 3256, 13], "avg_logprob": -0.5872395626372762, "compression_ratio": 1.6333333333333333, "no_speech_prob": 6.079673767089844e-06, "words": [{"start": 1895.47, "end": 1896.09, "word": "A", "probability": 0.139404296875}, {"start": 1896.09, "end": 1896.47, "word": " real", "probability": 0.71044921875}, {"start": 1896.47, "end": 1896.79, "word": " image.", "probability": 0.388427734375}, {"start": 1897.67, "end": 1898.31, "word": " Convergent", "probability": 0.8463541666666666}, {"start": 1898.31, "end": 1898.31, "word": " rays.", "probability": 0.497314453125}, {"start": 1898.43, "end": 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consider", "probability": 0.8818359375}, {"start": 1971.62, "end": 1971.74, "word": " as", "probability": 0.91748046875}, {"start": 1971.74, "end": 1972.1, "word": " object", "probability": 0.9423828125}, {"start": 1972.1, "end": 1972.4, "word": " number", "probability": 0.92431640625}, {"start": 1972.4, "end": 1972.78, "word": " 3", "probability": 0.9208984375}, {"start": 1972.78, "end": 1972.96, "word": " or", "probability": 0.83349609375}, {"start": 1972.96, "end": 1973.1, "word": " the", "probability": 0.74755859375}, {"start": 1973.1, "end": 1973.3, "word": " picture", "probability": 0.556640625}], "temperature": 1.0}, {"id": 77, "seek": 198933, "start": 1973.85, "end": 1989.33, "text": "The fourth one that we will consider as object number five Regardless, as long as I consider it as an object, I have to say about it that it is real or not real I want to know if it is real or not real, we see the rays coming out of it If it is divergent, then it is real Divergent, negative 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{"start": 2085.04, "end": 2085.14, "word": " the", "probability": 0.8701171875}, {"start": 2085.14, "end": 2085.4, "word": " virtual", "probability": 0.9189453125}, {"start": 2085.4, "end": 2086.08, "word": " object", "probability": 0.974609375}], "temperature": 1.0}, {"id": 82, "seek": 210208, "start": 2086.68, "end": 2102.08, "text": "and the real image and the virtual image We stop at this point and we continue next time and we will find exercises on the virtual object in the exercises section on the mood page God bless you and peace be upon you", "tokens": [474, 264, 957, 3256, 293, 264, 6374, 3256, 492, 1590, 412, 341, 935, 293, 321, 2354, 958, 565, 293, 321, 486, 915, 11900, 322, 264, 6374, 2657, 294, 264, 11900, 3541, 322, 264, 9268, 3028, 1265, 5227, 291, 293, 4336, 312, 3564, 291], "avg_logprob": -0.4357244284315543, "compression_ratio": 1.6412213740458015, "no_speech_prob": 3.159046173095703e-06, "words": [{"start": 2086.68, "end": 2086.88, "word": "and", "probability": 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00:00:08,640 +بسم الله الرحمن الرحيم بسم + +2 +00:00:08,640 --> 00:00:19,320 +الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم + +3 +00:00:19,320 --> 00:00:24,560 +الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +4 +00:00:24,560 --> 00:00:24,600 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +5 +00:00:24,600 --> 00:00:24,720 +الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah + +6 +00:00:24,720 --> 00:00:24,800 +الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah + +7 +00:00:24,800 --> 00:00:25,360 +الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah + +8 +00:00:25,360 --> 00:00:26,620 +الرحمن الرحيم بسم Allah الرحمن الرحيم بسم + +9 +00:00:26,620 --> 00:00:26,940 +الرحيم بسم Allah الرحمن الرحيم بسم + +10 +00:00:26,940 --> 00:00:28,540 +Allah الرحمن الرحيم الرح before we say how to use + +11 +00:00:28,540 --> 00:00:31,700 +the minus lens, we need to know the picture in + +12 +00:00:31,700 --> 00:00:34,240 +this case without the minus lens where it will be + +13 +00:00:34,240 --> 00:00:39,220 +formed we say as follows to know the picture we + +14 +00:00:39,220 --> 00:00:42,840 +start our calculations we say u is equal to + +15 +00:00:42,840 --> 00:00:48,180 +negative n over o u + +16 +00:00:48,180 --> 00:00:50,460 +is equal to negative n over o and is equal to + +17 +00:00:50,460 --> 00:00:52,440 +negative one over half meter and is equal to + +18 +00:00:52,440 --> 00:00:58,740 +negative two this is greater minus 2 diopter, this + +19 +00:00:58,740 --> 00:01:00,980 +is on the front surface, which means that the rays + +20 +00:01:00,980 --> 00:01:03,360 +have reached a wavelength of 2 diopter. + +21 +00:01:07,220 --> 00:01:10,140 +How much does the wavelength of the rays come out? + +22 +00:01:10,280 --> 00:01:18,660 +Now we will see this. U plus P equals V. U minus 2 + +23 +00:01:18,660 --> 00:01:24,430 +diopter.and the power plus 6 diopters is equal to + +24 +00:01:24,430 --> 00:01:28,610 +V, so what is V equal? let's see together V is + +25 +00:01:28,610 --> 00:01:31,070 +equal to plus 4 diopters, as long as it is equal + +26 +00:01:31,070 --> 00:01:38,790 +to plus 4 diopters, it means that I have a real + +27 +00:01:38,790 --> 00:01:40,490 +picture, as long as V is in the plus sign, it + +28 +00:01:40,490 --> 00:01:42,730 +means that the rays are united, let's write V here + +29 +00:01:42,730 --> 00:01:43,450 +as plus 4 + +30 +00:01:49,100 --> 00:01:51,320 +on the back surface, it means it will create a + +31 +00:01:51,320 --> 00:01:54,840 +real picture in a place which is out of space this + +32 +00:01:54,840 --> 00:02:00,780 +place can be known as V to the power of I, I want + +33 +00:02:00,780 --> 00:02:02,560 +I, I to the power of I to the power of I to the + +34 +00:02:02,560 --> 00:02:02,920 +power of I to the power of I to the power of I to + +35 +00:02:02,920 --> 00:02:02,940 +power of I to the power of I to the power of I to + +36 +00:02:02,940 --> 00:02:02,980 +the power of I to the power of I to the power of I + +37 +00:02:02,980 --> 00:02:03,260 +to the power of I to the power of I to the power + +38 +00:02:03,260 --> 00:02:03,360 +of I to the power of I to the power of I to the + +39 +00:02:03,360 --> 00:02:03,800 +power of I to the power of I to the power of I to + +40 +00:02:03,800 --> 00:02:04,000 +the power of I to the power of I to the power of I + +41 +00:02:04,000 --> 00:02:04,280 +to the power of I to the power of I to the power + +42 +00:02:04,280 --> 00:02:08,700 +of I to the power of I to the power of I to the + +43 +00:02:08,700 --> 00:02:13,440 +power of I to the + +44 +00:02:13,440 --> 00:02:16,640 +power of I + +45 +00:02:20,240 --> 00:02:22,260 +Picture at a distance of quarter of a meter from + +46 +00:02:22,260 --> 00:02:26,440 +the lens But + +47 +00:02:26,440 --> 00:02:29,580 +we want a picture at a distance of 25 centimeters + +48 +00:02:42,640 --> 00:02:47,160 +The distance is 25 cm Now I want this image to be + +49 +00:02:47,160 --> 00:02:51,320 +1 meter away with a minus lens The minus lens I + +50 +00:02:51,320 --> 00:02:53,780 +will add in front of the plus lens It will be the + +51 +00:02:53,780 --> 00:02:57,100 +first lens facing the object So that the final + +52 +00:02:57,100 --> 00:02:59,560 +image, which is the second lens, which is the + +53 +00:02:59,560 --> 00:03:04,620 +second picture, is 1 meter away, not 25 cm away + +54 +00:03:04,620 --> 00:03:11,090 +Let's see how we can do thisWe added the minus + +55 +00:03:11,090 --> 00:03:14,950 +length to make the distance between them 10 cm The + +56 +00:03:14,950 --> 00:03:18,610 +object is basically 50 cm away from the plus + +57 +00:03:18,610 --> 00:03:23,930 +lengthThe slide that we were working with is 50 cm + +58 +00:03:23,930 --> 00:03:28,510 +from the plus lens When I put the minus lens 10 cm + +59 +00:03:28,510 --> 00:03:31,590 +away from the plus lens The distances are as + +60 +00:03:31,590 --> 00:03:33,970 +follows The object is 40 cm away from the minus + +61 +00:03:33,970 --> 00:03:38,070 +lens And the minus lens is 10 cm away from the + +62 +00:03:38,070 --> 00:03:42,980 +plus lens This is the distance of 50 cmNow, each + +63 +00:03:42,980 --> 00:03:46,800 +lens I have to deal with one by one. The first + +64 +00:03:46,800 --> 00:03:49,260 +lens will be number one and the second lens will + +65 +00:03:49,260 --> 00:03:52,180 +be number two. The light that comes out of the + +66 +00:03:52,180 --> 00:03:55,600 +object will first enter the minus lens and then + +67 +00:03:55,600 --> 00:04:00,450 +leave it and enter the plus lens.I want to walk in + +68 +00:04:00,450 --> 00:04:03,830 +the matter from beginning to end exactly like the + +69 +00:04:03,830 --> 00:04:08,070 +investigation that takes place when there is a + +70 +00:04:08,070 --> 00:04:11,670 +case that they want to know who is the accused in + +71 +00:04:11,670 --> 00:04:15,130 +it or who is the accused in it or they want to get + +72 +00:04:15,130 --> 00:04:17,150 +to the truth, they do not seem to be at the end of + +73 +00:04:17,150 --> 00:04:20,140 +the line and they follow when they get thereThis + +74 +00:04:20,140 --> 00:04:23,340 +is the source of the lack of information Now we + +75 +00:04:23,340 --> 00:04:26,040 +want to say as follows I want to assume that the + +76 +00:04:26,040 --> 00:04:29,840 +picture is one meter long And I want to say how it + +77 +00:04:29,840 --> 00:04:32,680 +was formed, that is, when does the picture become + +78 +00:04:32,680 --> 00:04:33,920 +one meter long? + +79 +00:04:37,160 --> 00:04:39,760 +These are questions that I have to ask myself when + +80 +00:04:39,760 --> 00:04:43,180 +I2 is equal to one meter? Let's go to the + +81 +00:04:43,180 --> 00:04:49,410 +magnifying glasswhen I2 تساوي واحد متر معروف انه I + +82 +00:04:49,410 --> 00:04:53,790 +تساوي ان شرط على V مش محتاجين كل مرة نقول V تساوي + +83 +00:04:53,790 --> 00:04:59,010 +ان شرط على I اذا I تساوي ان شرط على V I تساوي ان + +84 +00:04:59,010 --> 00:05:03,250 +شرط على V و V تساوي ان شرط على I بتبدلوا مكان بعض + +85 +00:05:03,250 --> 00:05:07,670 +مافي اي مشكلة من ناحية رياضية طيب V تساوي ان شرط + +86 +00:05:07,670 --> 00:05:11,810 +على I و تساوي ان شرطة واحد I واحد متر احنا بدنا + +87 +00:05:11,810 --> 00:05:15,590 +الصورة ع واحد مترthis gives me that v is equal to + +88 +00:05:15,590 --> 00:05:18,570 +plus one diopter when meter goes up, it becomes + +89 +00:05:18,570 --> 00:05:22,390 +meter minus one, it becomes one diopter in another + +90 +00:05:22,390 --> 00:05:28,090 +meaning, when we say if v is plus one diopter, + +91 +00:05:28,270 --> 00:05:31,750 +then the picture will be one meter away, so v + +92 +00:05:31,750 --> 00:05:34,670 +should be one diopter + +93 +00:05:37,330 --> 00:05:42,750 +to give me a picture 1 meter away and give it a + +94 +00:05:42,750 --> 00:05:46,630 +special color and + +95 +00:05:46,630 --> 00:05:49,670 +put it on the back surface of the lens on the back + +96 +00:05:49,670 --> 00:05:55,470 +surface of the lens okay v is the result of light + +97 +00:05:55,470 --> 00:05:57,570 +fluctuation but it came with a certain fluctuation + +98 +00:05:58,580 --> 00:06:01,400 +and added to it the power of the lens in changing + +99 +00:06:01,400 --> 00:06:04,360 +the distortion resulting in plus one diopter now + +100 +00:06:04,360 --> 00:06:06,640 +the second question that asks itself where is v + +101 +00:06:06,640 --> 00:06:09,760 +equal to plus one diopter? we know that when the + +102 +00:06:09,760 --> 00:06:12,480 +image is one meter away, it means that v must be + +103 +00:06:12,480 --> 00:06:16,420 +plus one diopter when is v equal to plus one + +104 +00:06:16,420 --> 00:06:19,680 +diopter? v is related to the distortion equation + +105 +00:06:19,680 --> 00:06:22,560 +or the lens maker equation or the thin lens + +106 +00:06:22,560 --> 00:06:27,020 +equation which is u plus p equals v because of v + +107 +00:06:30,260 --> 00:06:33,420 +u must have a certain value because the power is + +108 +00:06:33,420 --> 00:06:35,460 +constant, the lens will not change its power from + +109 +00:06:35,460 --> 00:06:38,400 +plus 6 diopter, we will not bring another lens + +110 +00:06:38,400 --> 00:06:42,180 +with another power, so the power is constant and I + +111 +00:06:42,180 --> 00:06:45,120 +want v to be equal to plus 1 means that u must + +112 +00:06:45,120 --> 00:06:49,170 +have a certain value, we must know itu plus power + +113 +00:06:49,170 --> 00:06:58,050 +is equal to v, so u is equal to plus one + +114 +00:06:58,050 --> 00:07:09,130 +diopter minus six diopter minus five diopter + +115 +00:07:09,700 --> 00:07:15,940 +then the v will remain 1 diopter then when the + +116 +00:07:15,940 --> 00:07:21,920 +light reaches a magnitude of minus 5 diopter it + +117 +00:07:21,920 --> 00:07:24,700 +will remain from the power of the lens plus 1 + +118 +00:07:24,700 --> 00:07:27,620 +diopter and then the image will form at a distance + +119 +00:07:27,620 --> 00:07:32,440 +of 1 meter then the light will reach a magnitude + +120 +00:07:32,440 --> 00:07:34,540 +of minus 5 diopter + +121 +00:07:37,830 --> 00:07:40,510 +and it will remain from the power of the lens plus + +122 +00:07:40,510 --> 00:07:44,330 +one diopter, plus five from the plus six, plus + +123 +00:07:44,330 --> 00:07:48,110 +five to cancel the oscillation, to balance the + +124 +00:07:48,110 --> 00:07:51,810 +beam and we still have plus one diopter The next + +125 +00:07:51,810 --> 00:07:58,290 +question or the third one is when will it be equal + +126 +00:07:58,290 --> 00:08:01,670 +to minus five diopters?I ask myself a simple + +127 +00:08:01,670 --> 00:08:05,870 +question, what is U? It is the fluctuating state + +128 +00:08:05,870 --> 00:08:09,330 +of light that comes from the object, any object, + +129 +00:08:09,410 --> 00:08:12,770 +the object of this lens, of the plus lens, as long + +130 +00:08:12,770 --> 00:08:15,510 +as the light reaches the surface of this lens, it + +131 +00:08:15,510 --> 00:08:19,490 +means this object of this lens, okay, we say minus + +132 +00:08:19,490 --> 00:08:22,750 +5 diopter, when does it happen here? We say U is + +133 +00:08:22,750 --> 00:08:27,940 +equal to N over On over O, O is unknown, I don't + +134 +00:08:27,940 --> 00:08:31,740 +put neither minus nor plus, so O is equal to n + +135 +00:08:31,740 --> 00:08:34,800 +over U, which is equal to 1 over, I want U to be + +136 +00:08:34,800 --> 00:08:37,500 +minus 5, which is greater than, so 1 over minus 5, + +137 +00:08:37,660 --> 00:08:39,960 +which is greater than, which is equal to minus 2 + +138 +00:08:39,960 --> 00:08:42,160 +out of 10 meters, which is equal to minus 20 + +139 +00:08:42,160 --> 00:08:46,240 +centimeters As if I'm saying, when the object of + +140 +00:08:46,240 --> 00:08:49,270 +this lensIt stands on its left with 20 + +141 +00:08:49,270 --> 00:08:52,590 +centimeters, then the light emitted from that + +142 +00:08:52,590 --> 00:08:57,130 +object will reach a magnitude of minus 5 deuterium + +143 +00:08:57,130 --> 00:09:01,350 +minus 5 deuterium Let's see how this will happen + +144 +00:09:01,350 --> 00:09:08,270 +with us We want to stop the object of this lens at + +145 +00:09:08,270 --> 00:09:12,810 +a distance The object will be drawn in blue color + +146 +00:09:16,790 --> 00:09:33,010 +and put it as a dotted line why + +147 +00:09:33,010 --> 00:09:40,170 +as a dotted line? because this object which is 20 + +148 +00:09:40,170 --> 00:09:44,520 +cm away from the lensFrom any lens, from this + +149 +00:09:44,520 --> 00:09:50,360 +lens, the distance from the lens to this object is + +150 +00:09:50,360 --> 00:09:56,460 +20cm Ok, we + +151 +00:09:56,460 --> 00:10:03,080 +write 20cm and + +152 +00:10:03,080 --> 00:10:07,020 +we + +153 +00:10:07,020 --> 00:10:08,680 +mark the total distance here + +154 +00:10:31,000 --> 00:10:34,920 +20cm if you + +155 +00:10:34,920 --> 00:10:39,020 +notice, we didn't mention the minus at all this + +156 +00:10:39,020 --> 00:10:41,680 +image we want it at a distance of one meter if we + +157 +00:10:41,680 --> 00:10:43,780 +want it at a distance of one meter, the v must be + +158 +00:10:43,780 --> 00:10:46,660 +equal to plus one diopterOkay, if we want the V to + +159 +00:10:46,660 --> 00:10:49,440 +be equal to plus one diopter for the image to be + +160 +00:10:49,440 --> 00:10:52,580 +equal to one meter, the U should be minus five + +161 +00:10:52,580 --> 00:10:56,220 +diopters. Okay, if we want the U to be minus five + +162 +00:10:56,220 --> 00:10:59,620 +diopters, the object of this lens should be twenty + +163 +00:10:59,620 --> 00:11:01,800 +centimeters away from its left, minus twenty + +164 +00:11:01,800 --> 00:11:06,030 +centimeters.Okay, the object of this lens is the + +165 +00:11:06,030 --> 00:11:08,730 +image of the first lens, because the image of the + +166 +00:11:08,730 --> 00:11:11,250 +first lens is the object of the second lens, we + +167 +00:11:11,250 --> 00:11:15,350 +are going backwards, so this object, this object + +168 +00:11:15,350 --> 00:11:19,370 +of the second lens, which is the plus lens, is 20 + +169 +00:11:19,370 --> 00:11:22,210 +centimeters away from itطب هو نفسه ال object هو + +170 +00:11:22,210 --> 00:11:26,190 +image لهذه العدسة معروف أنه العدسة ال minus لما + +171 +00:11:26,190 --> 00:11:31,630 +بيقف أمامها جسم حقيقي مستحيل تكون له صورة حقيقية + +172 +00:11:31,630 --> 00:11:35,390 +ليش؟ بنذكر بالمعلومة اللي أخدناها المرة الماضية أو + +173 +00:11:35,390 --> 00:11:38,950 +المحاضرة الماضية بنقول جسم حقيقي الأشعة هتصل منه + +174 +00:11:38,950 --> 00:11:41,870 +divergentAnd the minus lens increases the + +175 +00:11:41,870 --> 00:11:44,250 +divergence if there is no real image as long as it + +176 +00:11:44,250 --> 00:11:47,430 +is divergent. So it will be a virtual image. + +177 +00:11:47,570 --> 00:11:50,470 +That's why we drew it with a dotted line. This + +178 +00:11:50,470 --> 00:11:54,370 +virtual image of this lens is 20 cm away from the + +179 +00:11:54,370 --> 00:11:58,170 +plus lens and is considered an object of the plus + +180 +00:11:58,170 --> 00:12:01,170 +lens. As long as it is 20 cm away from the plus + +181 +00:12:01,170 --> 00:12:05,140 +lens, how far is it away from the minus lens?10 cm + +182 +00:12:05,140 --> 00:12:07,080 +because the distance between the two lenses as we + +183 +00:12:07,080 --> 00:12:12,000 +know is 10 cm and this is also 10 cm, so the image + +184 +00:12:12,000 --> 00:12:17,040 +of the minus lens is 10 cm away from the minus + +185 +00:12:17,040 --> 00:12:22,320 +lens. Now look at the last step that we want to + +186 +00:12:22,320 --> 00:12:28,200 +get in it. The equation says negative N over O + +187 +00:12:31,000 --> 00:12:36,460 +to get the power of the minus lens is equal to + +188 +00:12:36,460 --> 00:12:39,880 +minus unconditional over I Why is it minus + +189 +00:12:39,880 --> 00:12:43,980 +unconditional over I? We will talk about it now + +190 +00:12:43,980 --> 00:12:47,220 +The + +191 +00:12:47,220 --> 00:12:50,710 +body of the + +223 +00:15:47,130 --> 00:15:50,750 +minus to its power which is minus seven and a + +224 +00:15:50,750 --> 00:15:55,690 +half diopter minus seven and a half diopter but + +225 +00:15:55,690 --> 00:15:59,390 +before we add it we need to go to the calculator + +226 +00:15:59,390 --> 00:16:04,910 +and divide it by one hundred divide it by seven + +227 +00:16:04,910 --> 00:16:08,190 +and a half to know its focal length to get the + +228 +00:16:08,190 --> 00:16:16,930 +centimeter directly means 13 and a half centimeters + +229 +00:16:16,930 --> 00:16:18,970 +13 and a half centimeters means one hundred and + +230 +00:16:18,970 --> 00:16:22,050 +thirty three millimeters and point three three, + +231 +00:16:22,090 --> 00:16:29,540 +okay? So we want to make it minus one hundred and + +232 +00:16:29,540 --> 00:16:32,980 +thirty three millimeters and three three out of + +233 +00:16:32,980 --> 00:16:36,440 +ten and we say enter it became a minus lens see + +234 +00:16:36,440 --> 00:16:39,920 +the shape of the minus lens is different from the + +235 +00:16:39,920 --> 00:16:42,660 +plus lens is different from the plus lens we want + +236 +00:16:42,660 --> 00:16:45,340 +to put it at a distance of ten centimeters from + +237 +00:16:45,340 --> 00:16:51,460 +the lens and + +238 +00:16:51,460 --> 00:16:55,240 +we see the picture where it happened that this is + +239 +00:16:55,240 --> 00:17:02,520 +ten centimeters after it was about 25 cm, now it + +240 +00:17:02,520 --> 00:17:09,980 +should be about 1 + +241 +00:17:09,980 --> 00:17:15,440 +meter so we have completed the example let's see + +242 +00:17:15,440 --> 00:17:19,940 +how far the picture is move + +243 +00:17:19,940 --> 00:17:25,000 +the + +244 +00:17:25,000 --> 00:17:25,800 +protractor + +245 +00:17:28,730 --> 00:17:33,550 +The ruler, excuse me. The + +246 +00:17:33,550 --> 00:17:36,490 +picture we have is formed here, exactly at the + +247 +00:17:36,490 --> 00:17:41,390 +word 1300 Of course, the measurements that are in + +248 +00:17:41,390 --> 00:17:46,290 +it, I mean Let's go back again and see how it is + +249 +00:17:46,290 --> 00:17:55,070 +Yes, we are still not at a distance Yes, + +250 +00:17:55,210 --> 00:17:56,230 +we are further + +251 +00:18:04,280 --> 00:18:12,940 +this one is for 200ml and this one is for... + +252 +00:18:12,940 --> 00:18:20,040 +I have a plan here that we moved a lot and we + +253 +00:18:20,040 --> 00:18:26,240 +should extend the ruler to make sure that the + +254 +00:18:26,240 --> 00:18:29,320 +object is half a meter from the lens to the plus + +255 +00:18:39,000 --> 00:18:41,680 +In the simulation, this will be shown, God + +256 +00:18:47,800 --> 00:18:54,180 +So here, we are not exactly half a meter away. The + +257 +00:18:54,180 --> 00:18:56,500 +protractor needs to be moved forward a little. + +258 +00:19:00,700 --> 00:19:04,800 +Now we are half a meter away from the plus lens. + +259 +00:19:05,940 --> 00:19:08,440 +And here the minus lens needs to be at a distance + +260 +00:19:16,290 --> 00:19:19,710 +10cm and this should be exactly 500cm, half a + +261 +00:19:19,710 --> 00:19:25,670 +meter this way I should have a picture that is one + +262 +00:19:25,670 --> 00:19:30,430 +meter + +263 +00:19:30,430 --> 00:19:31,350 +away from the lens + +264 +00:19:44,550 --> 00:19:50,910 +بالضبط هي كمتر، من تلاتمية لألف و تلاتمية، لألف و + +265 +00:19:50,910 --> 00:19:51,970 +تلاتمية، لألف و تلاتمية، لألف و تلاتمية، لألف و + +266 +00:19:51,970 --> 00:19:52,030 +تلاتمية، لألف و تلاتمية، لألف و تلاتمية، لألف و + +267 +00:19:52,030 --> 00:19:52,250 +تلاتمية، لألف و تلاتمية، لألف و تلاتمية، لألف و + +268 +00:19:52,250 --> 00:19:53,130 +تلاتمية، لألف و تلاتمية، لألف و تلاتمية، لألف و + +269 +00:19:53,130 --> 00:19:54,530 +تلاتمية، لألف و تلاتمية، لألف و تلاتمية، لألف و + +270 +00:19:54,530 --> 00:19:57,950 +تلاتمية، لألف و تلاتمية، لألف + +271 +00:19:57,950 --> 00:20:01,510 +و تلاتمية، لألف و تلاتمية، لألف و تلات diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r-6UzyJdVv8_raw.json b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r-6UzyJdVv8_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..94db076e6b4d056a480ecf6ffd7c720c9be34bd2 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r-6UzyJdVv8_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2694, "start": 1.2, "end": 26.94, "text": "بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah الرحمن 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formed we say as follows to know the picture we start our calculations we say u is equal to negative n over o u is equal to negative n over o and is equal to negative one over half meter and is equal to negative two this is greater", "tokens": [45301, 321, 584, 577, 281, 764, 264, 3175, 6765, 11, 321, 643, 281, 458, 264, 3036, 294, 341, 1389, 1553, 264, 3175, 6765, 689, 309, 486, 312, 8693, 321, 584, 382, 10002, 281, 458, 264, 3036, 321, 722, 527, 20448, 321, 584, 344, 307, 2681, 281, 3671, 297, 670, 277, 344, 307, 2681, 281, 3671, 297, 670, 277, 293, 307, 2681, 281, 3671, 472, 670, 1922, 9255, 293, 307, 2681, 281, 3671, 732, 341, 307, 5044], "avg_logprob": -0.5101461286668654, "compression_ratio": 2.1137724550898205, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 26.96, "end": 27.3, "word": "before", "probability": 0.29248046875}, {"start": 27.3, "end": 27.56, "word": " we", "probability": 0.6806640625}, {"start": 27.56, "end": 27.72, "word": " say", "probability": 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0.73291015625}, {"start": 193.59, "end": 194.13, "word": " cm", "probability": 0.427978515625}, {"start": 194.13, "end": 194.95, "word": " The", "probability": 0.258056640625}, {"start": 194.95, "end": 195.45, "word": " object", "probability": 0.86474609375}, {"start": 195.45, "end": 195.63, "word": " is", "probability": 0.53369140625}, {"start": 195.63, "end": 196.05, "word": " basically", "probability": 0.2470703125}, {"start": 196.05, "end": 197.03, "word": " 50", "probability": 0.88916015625}, {"start": 197.03, "end": 197.51, "word": " cm", "probability": 0.88671875}, {"start": 197.51, "end": 197.51, "word": " away", "probability": 0.72216796875}, {"start": 197.51, "end": 197.71, "word": " from", "probability": 0.88720703125}, {"start": 197.71, "end": 197.79, "word": " the", "probability": 0.79736328125}, {"start": 197.79, "end": 198.61, "word": " plus", "probability": 0.60986328125}, {"start": 198.61, "end": 198.71, "word": " length", "probability": 0.8043619791666666}], "temperature": 1.0}, {"id": 9, "seek": 22081, "start": 200.69, "end": 220.81, "text": "The slide that we were working with is 50 cm from the plus lens When I put the minus lens 10 cm away from the plus lens The distances are as follows The object is 40 cm away from the minus lens And the minus lens is 10 cm away from the plus lens This is the distance of 50 cm", "tokens": [2278, 4137, 300, 321, 645, 1364, 365, 307, 2625, 14668, 490, 264, 1804, 6765, 1133, 286, 829, 264, 3175, 6765, 1266, 14668, 1314, 490, 264, 1804, 6765, 440, 22182, 366, 382, 10002, 440, 2657, 307, 3356, 14668, 1314, 490, 264, 3175, 6765, 400, 264, 3175, 6765, 307, 1266, 14668, 1314, 490, 264, 1804, 6765, 639, 307, 264, 4560, 295, 2625, 14668], "avg_logprob": -0.4087701651357835, "compression_ratio": 1.9230769230769231, "no_speech_prob": 5.841255187988281e-06, "words": [{"start": 200.69, "end": 201.21, "word": "The", "probability": 0.13134765625}, {"start": 201.21, "end": 201.61, "word": " slide", "probability": 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"end": 205.69, "word": " When", "probability": 0.466796875}, {"start": 205.69, "end": 205.89, "word": " I", "probability": 0.82080078125}, {"start": 205.89, "end": 206.17, "word": " put", "probability": 0.51171875}, {"start": 206.17, "end": 206.35, "word": " the", "probability": 0.7861328125}, {"start": 206.35, "end": 207.03, "word": " minus", "probability": 0.697265625}, {"start": 207.03, "end": 207.11, "word": " lens", "probability": 0.81591796875}, {"start": 207.11, "end": 207.93, "word": " 10", "probability": 0.50439453125}, {"start": 207.93, "end": 208.51, "word": " cm", "probability": 0.9052734375}, {"start": 208.51, "end": 208.51, "word": " away", "probability": 0.67578125}, {"start": 208.51, "end": 208.97, "word": " from", "probability": 0.86328125}, {"start": 208.97, "end": 209.07, "word": " the", "probability": 0.904296875}, {"start": 209.07, "end": 209.89, "word": " plus", "probability": 0.9404296875}, {"start": 209.89, "end": 209.91, "word": " lens", "probability": 0.8916015625}, {"start": 209.91, "end": 210.47, "word": " The", "probability": 0.265869140625}, {"start": 210.47, "end": 211.23, "word": " distances", "probability": 0.63134765625}, {"start": 211.23, "end": 211.41, "word": " are", "probability": 0.31591796875}, {"start": 211.41, "end": 211.59, "word": " as", "probability": 0.58056640625}, {"start": 211.59, "end": 211.89, "word": " follows", "probability": 0.859375}, {"start": 211.89, "end": 212.13, "word": " The", "probability": 0.484375}, {"start": 212.13, "end": 212.59, "word": " object", "probability": 0.9150390625}, {"start": 212.59, "end": 212.77, "word": " is", "probability": 0.53857421875}, {"start": 212.77, "end": 212.95, "word": " 40", "probability": 0.70703125}, {"start": 212.95, "end": 212.95, "word": " cm", "probability": 0.87939453125}, {"start": 212.95, "end": 212.95, "word": " away", "probability": 0.82373046875}, {"start": 212.95, "end": 213.17, "word": " from", "probability": 0.8740234375}, {"start": 213.17, "end": 213.29, "word": " the", "probability": 0.888671875}, {"start": 213.29, "end": 213.97, "word": " minus", "probability": 0.9326171875}, {"start": 213.97, "end": 214.71, "word": " lens", "probability": 0.86083984375}, {"start": 214.71, "end": 215.65, "word": " And", "probability": 0.494873046875}, {"start": 215.65, "end": 215.77, "word": " the", "probability": 0.83984375}, {"start": 215.77, "end": 216.53, "word": " minus", "probability": 0.9130859375}, {"start": 216.53, "end": 216.73, "word": " lens", "probability": 0.84130859375}, {"start": 216.73, "end": 217.17, "word": " is", "probability": 0.67529296875}, {"start": 217.17, "end": 217.27, "word": " 10", "probability": 0.92138671875}, {"start": 217.27, "end": 217.27, "word": " cm", "probability": 0.921875}, {"start": 217.27, "end": 217.27, "word": " away", "probability": 0.81494140625}, {"start": 217.27, "end": 217.51, "word": " from", "probability": 0.89013671875}, {"start": 217.51, "end": 218.07, "word": " the", "probability": 0.9189453125}, {"start": 218.07, "end": 218.33, "word": " plus", "probability": 0.95654296875}, {"start": 218.33, "end": 218.97, "word": " lens", "probability": 0.89306640625}, {"start": 218.97, "end": 219.27, "word": " This", "probability": 0.269287109375}, {"start": 219.27, "end": 219.39, "word": " is", "probability": 0.85400390625}, {"start": 219.39, "end": 219.39, "word": " the", "probability": 0.716796875}, {"start": 219.39, "end": 219.67, "word": " distance", "probability": 0.86181640625}, {"start": 219.67, "end": 219.87, "word": " of", "probability": 0.7587890625}, {"start": 219.87, "end": 220.35, "word": " 50", "probability": 0.8935546875}, {"start": 220.35, "end": 220.81, "word": " cm", "probability": 0.88916015625}], "temperature": 1.0}, {"id": 10, "seek": 23756, "start": 221.36, "end": 237.56, "text": "Now, each lens I have to deal with one by one. The first lens will be number one and the second lens will be number two. The light that comes out of the object will first enter the minus lens and then leave it and enter the plus lens.", "tokens": [13267, 11, 1184, 6765, 286, 362, 281, 2028, 365, 472, 538, 472, 13, 440, 700, 6765, 486, 312, 1230, 472, 293, 264, 1150, 6765, 486, 312, 1230, 732, 13, 440, 1442, 300, 1487, 484, 295, 264, 2657, 486, 700, 3242, 264, 3175, 6765, 293, 550, 1856, 309, 293, 3242, 264, 1804, 6765, 13], "avg_logprob": -0.4661458405079665, "compression_ratio": 1.647887323943662, "no_speech_prob": 2.562999725341797e-06, "words": [{"start": 221.36, "end": 221.82, "word": "Now,", "probability": 0.47021484375}, {"start": 222.66, "end": 222.98, "word": " each", "probability": 0.408935546875}, {"start": 222.98, "end": 223.38, "word": " lens", "probability": 0.77392578125}, {"start": 223.38, "end": 223.98, "word": " I", "probability": 0.1595458984375}, {"start": 223.98, "end": 224.24, "word": " have", "probability": 0.2105712890625}, {"start": 224.24, "end": 224.24, "word": " to", 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0.86572265625}, {"start": 257.01, "end": 257.15, "word": " of", "probability": 0.9658203125}, {"start": 257.15, "end": 257.21, "word": " the", "probability": 0.90478515625}, {"start": 257.21, "end": 257.45, "word": " line", "probability": 0.82568359375}, {"start": 257.45, "end": 257.61, "word": " and", "probability": 0.7314453125}, {"start": 257.61, "end": 257.79, "word": " they", "probability": 0.64794921875}, {"start": 257.79, "end": 258.25, "word": " follow", "probability": 0.7314453125}, {"start": 258.25, "end": 258.57, "word": " when", "probability": 0.36181640625}, {"start": 258.57, "end": 258.69, "word": " they", "probability": 0.8671875}, {"start": 258.69, "end": 258.93, "word": " get", "probability": 0.67431640625}, {"start": 258.93, "end": 259.13, "word": " there", "probability": 0.464599609375}], "temperature": 1.0}, {"id": 12, "seek": 28360, "start": 259.64, "end": 283.6, "text": "This is the source of the lack of information Now we want to say as follows I want to assume that the picture is one meter long And I want to say how it was formed, that is, when does the picture become one meter long? These are questions that I have to ask myself when I2 is equal to one meter? 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474.77, "end": 474.89, "word": " is", "probability": 0.38623046875}, {"start": 474.89, "end": 475.19, "word": " when", "probability": 0.5087890625}, {"start": 475.19, "end": 475.53, "word": " will", "probability": 0.40869140625}, {"start": 475.53, "end": 475.93, "word": " it", "probability": 0.390380859375}, {"start": 475.93, "end": 477.55, "word": " be", "probability": 0.8115234375}, {"start": 477.55, "end": 478.29, "word": " equal", "probability": 0.748046875}, {"start": 478.29, "end": 478.61, "word": " to", "probability": 0.92578125}, {"start": 478.61, "end": 478.89, "word": " minus", "probability": 0.958984375}, {"start": 478.89, "end": 479.31, "word": " five", "probability": 0.89208984375}, {"start": 479.31, "end": 479.83, "word": " diopters?", "probability": 0.8235677083333334}], "temperature": 1.0}, {"id": 21, "seek": 50397, "start": 480.29, "end": 503.97, "text": "I ask myself a simple question, what is U? It is the fluctuating state of light that comes from the object, any object, the object of this lens, of the plus lens, as long as the light reaches the surface of this lens, it means this object of this lens, okay, we say minus 5 diopter, when does it happen here? 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So it will be a virtual image. That's why we drew it with a dotted line. This virtual image of this lens is 20 cm away from the plus lens and is considered an object of the plus lens. As long as it is 20 cm away from the plus lens, how far is it away from the minus lens?", "tokens": [5289, 264, 3175, 6765, 8637, 264, 47387, 498, 456, 307, 572, 957, 3256, 382, 938, 382, 309, 307, 18558, 6930, 13, 407, 309, 486, 312, 257, 6374, 3256, 13, 663, 311, 983, 321, 12804, 309, 365, 257, 37459, 1622, 13, 639, 6374, 3256, 295, 341, 6765, 307, 945, 14668, 1314, 490, 264, 1804, 6765, 293, 307, 4888, 364, 2657, 295, 264, 1804, 6765, 13, 1018, 938, 382, 309, 307, 945, 14668, 1314, 490, 264, 1804, 6765, 11, 577, 1400, 307, 309, 1314, 490, 264, 3175, 6765, 30], "avg_logprob": -0.36434658379717305, "compression_ratio": 1.8730964467005076, "no_speech_prob": 2.384185791015625e-06, "words": [{"start": 700.11, "end": 700.27, "word": "And", "probability": 0.2227783203125}, {"start": 700.27, "end": 700.37, "word": " the", "probability": 0.31884765625}, {"start": 700.37, "end": 701.05, "word": " minus", "probability": 0.47607421875}, {"start": 701.05, "end": 701.07, "word": " lens", 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Now look at the last step that we want to get in it. 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So the power of the lens, the minus, which I will use to reduce the image by one meter, should be minus seven and a half diodes. Minus seven and a half diodes. Let's see in the simulation if this works or not. 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So we want to make it minus", "tokens": [1398, 599, 3705, 293, 257, 1922, 23300, 3705, 293, 257, 1922, 23300, 1355, 472, 3262, 293, 11790, 1045, 24388, 293, 935, 1045, 1045, 11, 1392, 30, 407, 321, 528, 281, 652, 309, 3175], "avg_logprob": -0.5776654253987705, "compression_ratio": 1.5188679245283019, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 970.51, "end": 970.83, "word": "means", "probability": 0.497802734375}, {"start": 970.83, "end": 971.77, "word": " 13", "probability": 0.63525390625}, {"start": 971.77, "end": 973.45, "word": " and", "probability": 0.6533203125}, {"start": 973.45, "end": 973.93, "word": " a", "probability": 0.1419677734375}, {"start": 973.93, "end": 976.43, "word": " half", "probability": 0.438720703125}, {"start": 976.43, "end": 976.93, "word": " centimeters", "probability": 0.43310546875}, {"start": 976.93, "end": 977.27, "word": " 13", "probability": 0.205078125}, {"start": 977.27, "end": 977.77, "word": " and", "probability": 0.86865234375}, 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minus lens is different from the plus lens is different from the plus lens we want to put it at a distance of ten centimeters from the lens and we see the picture where it happened that this is ten centimeters", "tokens": [546, 3262, 293, 11790, 1045, 24388, 293, 1045, 1045, 484, 295, 2064, 293, 321, 584, 3242, 309, 3062, 257, 3175, 6765, 536, 264, 3909, 295, 264, 3175, 6765, 307, 819, 490, 264, 1804, 6765, 307, 819, 490, 264, 1804, 6765, 321, 528, 281, 829, 309, 412, 257, 4560, 295, 2064, 23300, 490, 264, 6765, 293, 321, 536, 264, 3036, 689, 309, 2011, 300, 341, 307, 2064, 23300], "avg_logprob": -0.47977940782028083, "compression_ratio": 2.0484848484848484, "no_speech_prob": 4.291534423828125e-06, "words": [{"start": 988.92, "end": 989.14, "word": "one", "probability": 0.06866455078125}, {"start": 989.14, "end": 989.36, "word": " hundred", "probability": 0.8779296875}, {"start": 989.36, "end": 989.54, "word": " and", "probability": 0.73486328125}, {"start": 989.54, "end": 989.8, 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"probability": 0.99267578125}], "temperature": 1.0}], "language": "en", "language_probability": 1.0, "duration": 1201.74875, "duration_after_vad": 1103.5950000000003} \ No newline at end of file diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r1UlDjNSd0s.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r1UlDjNSd0s.srt new file mode 100644 index 0000000000000000000000000000000000000000..ccfcf48432f23ccf86a65e2cacc894c38865d606 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r1UlDjNSd0s.srt @@ -0,0 +1,2026 @@ + +1 +00:00:01,640 --> 00:00:02,800 +In the name of God, Most Gracious, Most Merciful. + +2 +00:00:04,560 --> 00:00:07,060 +We are continuing the lectures on engineering + +3 +00:00:07,060 --> 00:00:10,300 +vision, and we have reached a thin lens + +4 +00:00:10,300 --> 00:00:15,780 +approximation. The lensmaker's equation deals with + +5 +00:00:15,780 --> 00:00:19,080 +a single refracting surface, but of course lenses + +6 +00:00:19,080 --> 00:00:22,780 +have two surfaces. In other words, the lensmaker + +7 +00:00:22,780 --> 00:00:26,940 +equation has been derived and deals with a single + +8 +00:00:26,940 --> 00:00:29,060 +refracting surface, which means that I have a + +9 +00:00:29,060 --> 00:00:32,390 +glass rod و في single reflecting surface و الصورة + +10 +00:00:32,390 --> 00:00:38,630 +هتتكون داخل الزجاج وفي + +11 +00:00:38,630 --> 00:00:42,110 +single + +12 +00:00:42,110 --> 00:00:43,110 +reflecting surface و صورة هتتكون داخل الزجاج وفي + +13 +00:00:43,110 --> 00:00:43,750 +وفي single reflecting surface و صورة هتتكون داخل + +14 +00:00:43,750 --> 00:00:43,850 +وصورة هتتكون داخل الزجاج وفي single reflecting + +15 +00:00:43,850 --> 00:00:47,910 +single reflecting surface وصورة هتتكون + +16 +00:00:47,910 --> 00:00:50,990 +داخل الزجاج وفي single reflecting surface و صورة + +17 +00:00:50,990 --> 00:00:53,570 +هتتكون داخل الزجاج وفي single reflecting According + +18 +00:00:53,570 --> 00:00:57,030 +to the lens maker's equation, when light from an + +19 +00:00:57,030 --> 00:01:02,090 +object strikes the front surface of a lens, its + +20 +00:01:02,090 --> 00:01:05,370 +reduced divergence changes by the amount equal to + +21 +00:01:05,370 --> 00:01:08,910 +the power of the front surface, which is P front. + +22 +00:01:09,540 --> 00:01:12,380 +Divergence continues to change as the light moves + +23 +00:01:12,380 --> 00:01:15,600 +from the front to the back surface. This is known + +24 +00:01:15,600 --> 00:01:19,780 +as divergence change on transfer. We will explain + +25 +00:01:19,780 --> 00:01:27,820 +all of this now. First of all, to understand which + +26 +00:01:27,820 --> 00:01:28,500 +lens I have. + +27 +00:01:31,210 --> 00:01:33,870 +الها سطح أمامي و سطح خلفي It has a front surface + +28 +00:01:33,870 --> 00:01:36,510 +and a rear surface ومعروف إنه أي عدسة .. أي عدسة + +29 +00:01:36,510 --> 00:01:41,790 +أو refracting surface .. Refracting surface .. لها + +30 +00:01:41,790 --> 00:01:46,390 +قوة معينة This force is equal to N minus N divided + +31 +00:01:46,390 --> 00:01:49,370 +by R .. N minus N divided by R .. We say as + +32 +00:01:49,370 --> 00:01:54,280 +followsهي أنا عندي single refracting service، هاي + +33 +00:01:54,280 --> 00:02:00,080 +نصف قطرها، هاي نصف قطرها، قوتها ان شرطة ناقص N على + +34 +00:02:00,080 --> 00:02:06,060 +R، بتغير نصف القطر، بتغير اللي هو قوة العدسة، + +35 +00:02:06,060 --> 00:02:09,940 +واللي تقاس بيد ديوتر، أيضا لما العدسة بيكونيلها + +36 +00:02:09,940 --> 00:02:14,340 +سطحينAlso it has a certain force, it has a certain + +37 +00:02:14,340 --> 00:02:17,840 +force, and this force is also measured with the + +38 +00:02:17,840 --> 00:02:21,600 +diopter Okay, now I have two surfaces, there is a + +39 +00:02:21,600 --> 00:02:23,240 +total force for the lens, there is a total force + +40 +00:02:23,240 --> 00:02:27,400 +for the lens, and I have two surfaces, these two + +41 +00:02:27,400 --> 00:02:31,240 +surfaces, each of them has a force Okay, now the + +42 +00:02:31,240 --> 00:02:33,480 +question that arises itself, for example, this + +43 +00:02:33,480 --> 00:02:35,820 +force of the lens as a whole, for example, plus + +44 +00:02:35,820 --> 00:02:39,360 +ten dioptersOh, look at this plus ten, this is + +45 +00:02:39,360 --> 00:02:44,990 +amazing, it divides ..five diopters for the front + +46 +00:02:44,990 --> 00:02:47,730 +surface and five diopters for the back surface? Or + +47 +00:02:47,730 --> 00:02:51,450 +are they divided unevenly? Or are they divided + +48 +00:02:51,450 --> 00:02:55,950 +differently according to the polarity of the + +49 +00:02:55,950 --> 00:02:59,490 +light? Before we answer this question, we want to + +50 +00:02:59,490 --> 00:03:04,250 +go to an example from public life that explains an + +51 +00:03:04,250 --> 00:03:10,080 +approximate matterFirst of all, first of all, we + +52 +00:03:10,080 --> 00:03:12,340 +say that this example is from public life. It has + +53 +00:03:12,340 --> 00:03:14,500 +nothing to do with the subject of engineering + +54 +00:03:14,500 --> 00:03:16,280 +vision, but it will bring us closer to the concept + +55 +00:03:16,280 --> 00:03:19,760 +that we are talking about. We say that a young man + +56 +00:03:19,760 --> 00:03:24,400 +went to buy from a shop next to their house, and + +57 +00:03:24,400 --> 00:03:26,700 +found that his younger brother had bought with the + +58 +00:03:26,700 --> 00:03:29,980 +money before him from this place, from this shop + +59 +00:03:29,980 --> 00:03:33,940 +or from this place. The young man with him, the + +60 +00:03:33,940 --> 00:03:36,800 +young man who went to buy, had twenty dinars with + +61 +00:03:36,800 --> 00:03:41,690 +him. طيب لو قلنا أنه أخو الصغير كان مداين بخمس + +62 +00:03:41,690 --> 00:03:45,430 +دنانير، يعني شارع أشياء بالدين بمقدار خمس دنانير، + +63 +00:03:45,430 --> 00:03:50,450 +المطلوب بداية من هذا الشاب أنه يسد الخمس دينار و + +64 +00:03:50,450 --> 00:03:54,810 +هيتبقى معاه قوة شرائية خمس عشر دينار، طيب نفس + +65 +00:03:54,810 --> 00:03:59,970 +الشاب معاه عشرين دينار، ولكن وجد أخو أنه اشترى + +66 +00:03:59,970 --> 00:04:04,870 +بالدين بسبع دنانير، لابد أنه يسد السبع دنانير، + +67 +00:04:04,870 --> 00:04:09,060 +طبعا هتأخذ من العشرين دينارو بالتالي .. و بالتالي + +68 +00:04:09,060 --> 00:04:12,840 +هيطال .. هيطال معاه .. هيتبقى معاه قوة شرائية + +69 +00:04:12,840 --> 00:04:18,120 +مقدارها تلتاشر دينار طيب لو تفاجأ الشاب أنه أخوه + +70 +00:04:18,120 --> 00:04:20,960 +ماشتري بالدين، أخوه الصغير ماشتري بالدين بمبلغ + +71 +00:04:20,960 --> 00:04:25,330 +عشرين دينارhe will have to pay off the debt which + +72 +00:04:25,330 --> 00:04:30,490 +is 20 dinars and he will have 0 dinars of + +73 +00:04:30,490 --> 00:04:31,690 +purchasing power which means that he will not be + +74 +00:04:31,690 --> 00:04:34,030 +able to buy anything because everything he has + +75 +00:04:34,030 --> 00:04:42,230 +will be spent on paying off the debt of his + +76 +00:04:42,230 --> 00:04:45,190 +younger brother if this young man is surprised + +77 +00:04:45,880 --> 00:04:48,920 +because his brother withdrew money from the shop + +78 +00:04:48,920 --> 00:04:52,820 +for 25 dinars he will have to pay back the 20 + +79 +00:04:52,820 --> 00:04:55,780 +dinars that he has and he will have minus 5 dinars + +80 +00:04:55,780 --> 00:04:57,640 +with him what does it mean to have minus 5 dinars + +81 +00:04:57,640 --> 00:05:03,000 +with him? it means that they still have 5 dinars + +82 +00:05:03,000 --> 00:05:09,560 +of debt this is what we want to talk about firstWe + +83 +00:05:09,560 --> 00:05:12,540 +said before that the single refracting surface, + +84 +00:05:12,640 --> 00:05:16,740 +and this also applies to the lenses that have two + +85 +00:05:16,740 --> 00:05:18,860 +surfaces The single refracting surface and the + +86 +00:05:18,860 --> 00:05:23,060 +lenses that have two surfaces are measured by the + +87 +00:05:23,060 --> 00:05:27,880 +diopter And the refractive state of light, whether + +88 +00:05:27,880 --> 00:05:31,440 +it is refracted or collected, is also measured by + +89 +00:05:31,440 --> 00:05:34,950 +the diopterThe divergence is measured by the + +90 +00:05:34,950 --> 00:05:38,290 +diopter. The question itself is, why is the + +91 +00:05:38,290 --> 00:05:40,130 +measurement of the intensity of the lens measured + +92 +00:05:40,130 --> 00:05:43,910 +by the diopter, while the divergence of the light + +93 +00:05:43,910 --> 00:05:45,970 +is measured by the diopter, regardless of whether + +94 +00:05:45,970 --> 00:05:49,250 +it is minus or plus? We say for a simple reason, + +95 +00:05:49,810 --> 00:05:54,170 +that what does the lens do? The lens only changes + +96 +00:05:54,170 --> 00:05:57,510 +the divergence of the light. This light is + +97 +00:05:57,510 --> 00:06:02,310 +divergent, it has changed its state,convergent + +98 +00:06:02,310 --> 00:06:06,190 +يعني لو العدسة هذه مش موجودة طبعا أنا رسمت العدسة + +99 +00:06:06,190 --> 00:06:12,270 +ضخمة لتوضيح الفكرة المعينة العدسة لو مش موجودة كان + +100 +00:06:12,270 --> 00:06:16,370 +الضوء ضال divergent كان الضوء ضال divergent بس + +101 +00:06:16,370 --> 00:06:21,010 +وجود العدسة في طريق الضوء المتشتت ال divergence + +102 +00:06:21,010 --> 00:06:27,810 +tree حولوا لضوء لضوء يعني متجمع او convergent tree + +103 +00:06:28,530 --> 00:06:32,630 +الان السؤال كيف العدسة بتغير الحالة التشتوتية + +104 +00:06:32,630 --> 00:06:38,160 +للضوء؟العدسة عبارة عن مادة تختلف عن المادة اللي + +105 +00:06:38,160 --> 00:06:40,140 +كان يسري فيها الضوء، يعني الضوء كان يسري في + +106 +00:06:40,140 --> 00:06:44,920 +الهواء، دخل للزجاج، طبعا لما يكون بيسري في الهواء + +107 +00:06:44,920 --> 00:06:48,180 +و يدخل لمادة تانية زي الزجاج أو الماء أو اي مادة + +108 +00:06:48,180 --> 00:06:52,100 +أخرى، لابد انه يطبق عليك قانون الانكسار، يعني بده + +109 +00:06:52,100 --> 00:06:56,780 +يغير اتجاهه، تغيير اتجاهه حسب قانون الانكسار، كل + +110 +00:06:56,780 --> 00:07:00,760 +شعيع بده يتعرض لقانون الانكسار، N I sine theta I + +111 +00:07:00,760 --> 00:07:05,240 +يساوي N T sine theta Tطالما تغير الاتجاه، إذا + +112 +00:07:05,240 --> 00:07:09,240 +اتغيرت الحالة التشتتية، هاي الشعاع بدنا نتبعه + +113 +00:07:09,240 --> 00:07:14,000 +الشعاع الأعلى، وصل للسطح الفاصل بين الهوى والإجزاز + +114 +00:07:14,750 --> 00:07:16,450 +It is applied to it by the law of contraction. + +115 +00:07:16,650 --> 00:07:19,870 +This is θI, this is the service normal. The dotted + +116 +00:07:19,870 --> 00:07:22,790 +line in yellow is the service normal. This is θI + +117 +00:07:22,790 --> 00:07:25,690 +and this is θT. How much is equal to θT to know + +118 +00:07:25,690 --> 00:07:29,610 +the direction? We say we apply Ni sin θI is equal + +119 +00:07:29,610 --> 00:07:35,590 +to Nt sin θT. Okay. It became inside the lens.Now + +120 +00:07:35,590 --> 00:07:38,310 +inside the glass, now it flows inside the glass, + +121 +00:07:38,390 --> 00:07:41,250 +it will leave to the air, again it will move from + +122 +00:07:41,250 --> 00:07:43,150 +one substance to another substance different from + +123 +00:07:43,150 --> 00:07:46,590 +it in density or in refractive index, also again + +124 +00:07:46,590 --> 00:07:51,290 +it will apply the law of contraction. The law of + +125 +00:07:51,290 --> 00:07:55,850 +contraction says Ni Sin Theta I, this is Theta I, + +126 +00:07:56,070 --> 00:07:59,090 +this is the falling candle and this is the column, + +127 +00:07:59,250 --> 00:08:01,370 +so this is Theta I and this is Theta T. It is + +128 +00:08:01,370 --> 00:08:03,570 +known that when light moves from the middle to the + +129 +00:08:03,570 --> 00:08:06,840 +top in density,If the intensity is less than 0.5, + +130 +00:08:07,080 --> 00:08:09,100 +the beam moves away from the normal surface. That + +131 +00:08:09,100 --> 00:08:12,220 +is, I θ T is greater than θ I. Here, the beam + +132 +00:08:12,220 --> 00:08:14,040 +moves closer to the normal surface because the + +133 +00:08:14,040 --> 00:08:18,040 +light moves from the air to the glass. These two + +134 +00:08:18,040 --> 00:08:20,380 +operations led to the direction of the beam + +135 +00:08:20,380 --> 00:08:23,830 +instead of being like that.أصبح زي هيك و الشعاع + +136 +00:08:23,830 --> 00:08:27,550 +التاني بدل ما كان زي هيك مع الانكسار أصبح زي هيك + +137 +00:08:27,550 --> 00:08:32,910 +فأصبح اتغيرت الحالة التشتتية للضوء و أصبح + +138 +00:08:32,910 --> 00:08:37,570 +convergent بدل divergent إيش اللي سببه وجود العدسة + +139 +00:08:37,570 --> 00:08:41,210 +في الطريق؟How much is collected or how much is + +140 +00:08:41,210 --> 00:08:43,170 +scattered according to the power of the lens So, + +141 +00:08:43,330 --> 00:08:47,050 +the lens changes the scattering state of light, so + +142 +00:08:47,050 --> 00:08:50,270 +it is natural that its strength decreases because + +143 +00:08:50,270 --> 00:08:52,350 +the scattering and the accumulation decreases + +144 +00:08:52,350 --> 00:08:56,090 +because it decreases Okay, now the main question + +145 +00:08:56,090 --> 00:08:58,130 +remains and the central question that we askedYou + +146 +00:08:58,130 --> 00:09:00,630 +see, the power of the lens, we said the power of + +147 +00:09:00,630 --> 00:09:03,110 +the lens divided by the diopter, for example, plus + +148 +00:09:03,110 --> 00:09:06,910 +ten diopters Does the plus ten diopters spread all + +149 +00:09:06,910 --> 00:09:11,610 +over the front surface or all over the back + +150 +00:09:11,610 --> 00:09:15,810 +surface? Or is it divided into two equal parts? We + +151 +00:09:15,810 --> 00:09:18,490 +say according to the oscillation of the light that + +152 +00:09:18,490 --> 00:09:21,150 +came According to the oscillation of the light + +153 +00:09:21,150 --> 00:09:25,550 +that came If we imagine that the oscillation is + +154 +00:09:25,550 --> 00:09:32,710 +the lightDen means that when the scattered rays + +155 +00:09:32,710 --> 00:09:38,650 +collide with the front surface, the intensity of + +156 +00:09:38,650 --> 00:09:41,650 +the lens will be enough to cancel the scattering. + +157 +00:09:42,150 --> 00:09:45,590 +So if the scattering is severe, the intensity of + +158 +00:09:45,590 --> 00:09:49,490 +the lens that will go to the front surface will be + +159 +00:09:49,490 --> 00:09:54,520 +high. Let's assume thatThe light is scattered to + +160 +00:09:54,520 --> 00:09:59,500 +the extent of minus eight diopters It will be + +161 +00:09:59,500 --> 00:10:02,780 +scattered from the plus ten diopters to the plus + +162 +00:10:02,780 --> 00:10:06,820 +eight diopters to cancel the scattering of the + +163 +00:10:06,820 --> 00:10:09,780 +scattered rays Can a person say .. I mean we need + +164 +00:10:09,780 --> 00:10:13,520 +an example with numbers, we say as follows The + +165 +00:10:13,520 --> 00:10:17,520 +body is at a distance .. at a distance + +166 +00:10:22,100 --> 00:10:24,040 +on a distance of twelve and a half centimeters + +167 +00:10:24,040 --> 00:10:27,100 +from the lens which means that the light is + +168 +00:10:27,100 --> 00:10:30,140 +emitted from the object when it reaches the + +169 +00:10:30,140 --> 00:10:33,560 +surface of the front lens which is twelve and a + +170 +00:10:33,560 --> 00:10:35,880 +half centimeters from the lens How much is the + +171 +00:10:35,880 --> 00:10:38,620 +reduced divergence? The reduced divergence which + +172 +00:10:38,620 --> 00:10:47,440 +is U is equal to negative N over O and is equal to + +173 +00:10:48,880 --> 00:10:55,660 +minus 1 over O which is 12.5 cm which is 125 out + +174 +00:10:55,660 --> 00:10:59,960 +of 1000 meters which + +175 +00:10:59,960 --> 00:11:05,120 +is equal to minus 8 diopters + +176 +00:11:07,250 --> 00:11:10,150 +reduced virgins minus eight diopters and I have + +177 +00:11:10,150 --> 00:11:14,690 +the power here plus ten diopters to cancel this + +178 +00:11:14,690 --> 00:11:18,910 +fluctuation to cancel this fluctuation from plus + +179 +00:11:18,910 --> 00:11:24,110 +ten diopters to plus ten diopters the power of the + +180 +00:11:24,110 --> 00:11:27,630 +lens the total power of the lens plus ten diopters + +181 +00:11:27,630 --> 00:11:35,930 +will be divided into two parts plus eightplus 8 + +182 +00:11:35,930 --> 00:11:39,010 +diopter will go to the front surface why will it + +183 +00:11:39,010 --> 00:11:43,390 +go to the front surface? to change the fluctuation + +184 +00:11:43,390 --> 00:11:52,110 +state of light from minus 8 to 0 from minus 8 to 0 + +185 +00:11:52,110 --> 00:11:59,790 +here we will say plus 8 the plus 8 diopter will + +186 +00:11:59,790 --> 00:12:03,070 +cancel the fluctuation of minus 8 why? because + +187 +00:12:03,070 --> 00:12:03,850 +when we say + +188 +00:12:09,720 --> 00:12:19,880 +when we say u plus p power is equal to u minus + +189 +00:12:19,880 --> 00: + +223 +00:15:14,710 --> 00:15:18,670 +to cancel the fluctuation of the light As we said, + +224 +00:15:18,790 --> 00:15:23,250 +the only mission of the lens in its entire + +225 +00:15:23,250 --> 00:15:26,290 +operation is to change the fluctuation of the + +226 +00:15:26,290 --> 00:15:28,510 +light What will change the fluctuation of the + +227 +00:15:28,510 --> 00:15:32,290 +light? In the case of the plus lens or the limited + +228 +00:15:32,290 --> 00:15:34,950 +lens, it started to change from fluctuating to + +229 +00:15:34,950 --> 00:15:38,370 +accumulating as much as possible For example, this + +230 +00:15:38,370 --> 00:15:41,070 +young man went to buy with twenty dinars of + +231 +00:15:41,070 --> 00:15:44,110 +everything he owns He found his brother in debt of + +232 +00:15:44,110 --> 00:15:47,450 +20 dinars. The 20 dinars that his brother borrowed + +233 +00:15:47,450 --> 00:15:50,050 +from him remained with him 0 dinars. He went or + +234 +00:15:50,050 --> 00:15:52,510 +came back without buying anything. Without buying + +235 +00:15:52,510 --> 00:15:56,190 +anything. Okay, here the power of the lens was + +236 +00:15:56,190 --> 00:15:59,090 +used to cancel the fluctuation. The fluctuation + +237 +00:15:59,090 --> 00:16:03,010 +reached the rays fluctuated by minus 10 diopters. + +238 +00:16:03,560 --> 00:16:06,880 +The 10th diopter was lost, so the divergence + +239 +00:16:06,880 --> 00:16:09,360 +became zero, and nothing remained on the back + +240 +00:16:09,360 --> 00:16:12,340 +surface of anything, then the light will come out + +241 +00:16:12,340 --> 00:16:15,060 +of the lens, what does it have? The divergence is + +242 +00:16:15,060 --> 00:16:19,120 +zero, v is equal to zero, which means what? Which + +243 +00:16:19,120 --> 00:16:21,400 +means the divergence is zero, the divergence is + +244 +00:16:21,400 --> 00:16:24,780 +zero, the rays will come out parallel to each + +245 +00:16:24,780 --> 00:16:30,280 +other, okay, we want Let's give a third example The + +246 +00:16:30,280 --> 00:16:33,720 +power of the lens is still ten diopters We say as + +247 +00:16:33,720 --> 00:16:39,720 +follows The light now has to emit from point to + +248 +00:16:39,720 --> 00:16:45,760 +point at a distance of five centimeters from the + +249 +00:16:45,760 --> 00:16:48,180 +lens That is, the object is close to a distance of + +250 +00:16:48,180 --> 00:16:50,700 +five centimeters How much is the U? How much is + +251 +00:16:50,700 --> 00:16:53,360 +the amplitude of the light when it reaches the + +252 +00:16:53,360 --> 00:16:58,930 +surface of the lens? We say U is equal tominus n + +253 +00:16:58,930 --> 00:17:07,210 +over O which is equal to minus one + +254 +00:17:07,210 --> 00:17:10,850 +which is the refractive index of the air over O + +255 +00:17:10,850 --> 00:17:13,110 +which is five centimeters the object is five + +256 +00:17:13,110 --> 00:17:17,930 +centimeters away which is minus five centimeters + +257 +00:17:17,930 --> 00:17:25,230 +which is five out of one hundred meters five + +258 +00:17:25,230 --> 00:17:30,260 +out of one hundred meters which is equal minus + +259 +00:17:30,260 --> 00:17:33,900 +twenty diopter one over five percent of course + +260 +00:17:33,900 --> 00:17:36,960 +minus on plus becomes minus and one over five + +261 +00:17:36,960 --> 00:17:40,340 +percent meter becomes minus twenty diopter so the + +262 +00:17:40,340 --> 00:17:43,140 +light will reach the front surface of the lens + +263 +00:17:43,140 --> 00:17:49,300 +with a magnitude of minus twenty diopter okay, the + +264 +00:17:49,300 --> 00:17:52,300 +lens has a force of only ten the lens has a force + +265 +00:17:52,300 --> 00:17:54,840 +of only ten okay, let's go back to the previous + +266 +00:17:54,840 --> 00:17:59,780 +example We say, he went to buy with twenty dinars, + +267 +00:18:00,280 --> 00:18:03,280 +his brother found a lender with twenty-five + +268 +00:18:03,280 --> 00:18:07,460 +dinars, he will pay twenty dinars, and the receipt + +269 +00:18:07,460 --> 00:18:11,080 +will still be in his hand. Here, the lens will + +270 +00:18:11,080 --> 00:18:15,900 +exert all its force on the front surface to change + +271 +00:18:15,900 --> 00:18:20,060 +the fluctuation state to light, and we will still + +272 +00:18:20,060 --> 00:18:23,620 +have, what does he have? We will still have a + +273 +00:18:23,620 --> 00:18:28,980 +fluctuation, but in less amount, in amount less as + +274 +00:18:28,980 --> 00:18:36,360 +my picture shows the + +275 +00:18:36,360 --> 00:18:43,860 +light here is + +276 +00:18:43,860 --> 00:18:53,020 +still fluctuating but + +277 +00:18:53,020 --> 00:18:56,080 +it is less fluctuating than + +278 +00:18:57,610 --> 00:19:00,370 +It was on him before the lens was inserted. How do + +279 +00:19:00,370 --> 00:19:07,910 +we prove this? We say as follows, follow or pay + +280 +00:19:07,910 --> 00:19:12,330 +attention. If the light did not hit the lens, it + +281 +00:19:12,330 --> 00:19:16,090 +was supposed to continue its way in this way. + +282 +00:19:18,310 --> 00:19:21,050 +These are the yellow rays that entered the lens. + +283 +00:19:21,630 --> 00:19:26,470 +Imagine that the lens is not present The rays will + +284 +00:19:26,470 --> 00:19:29,070 +be more scattered, but the presence of the lens + +285 +00:19:29,070 --> 00:19:36,930 +makes them approach each other in a less + +286 +00:19:36,930 --> 00:19:42,710 +scattered way. The yellow rays became a path after + +287 +00:19:42,710 --> 00:19:48,230 +entering the lens, and here too, the yellow rays + +288 +00:19:49,600 --> 00:19:53,200 +Zahika means that the two red rays approached each + +289 +00:19:53,200 --> 00:19:56,140 +other. After entering the lens, they entered as + +290 +00:19:56,140 --> 00:20:00,240 +rays, colored it yellow, then colored it blue, + +291 +00:20:00,520 --> 00:20:04,540 +then colored it red, to clarify the three areas in + +292 +00:20:04,540 --> 00:20:06,760 +which the rays occur. First in the air, then in + +293 +00:20:06,760 --> 00:20:10,740 +the glass, then in the air again. These are the + +294 +00:20:10,740 --> 00:20:13,920 +same rays. But if we imagine that the lens does + +295 +00:20:13,920 --> 00:20:18,960 +not exist, the rays continued their way straight. + +296 +00:20:19,380 --> 00:20:21,360 +Okay, what did the lens do? It changed the + +297 +00:20:21,360 --> 00:20:25,180 +fluctuation of the rays from very fluctuated to + +298 +00:20:25,180 --> 00:20:29,240 +less fluctuated. The rays are still divergent. Why + +299 +00:20:29,240 --> 00:20:32,120 +divergent after leaving the lens? Well, we + +300 +00:20:32,120 --> 00:20:35,220 +expected them to be convergent, because the power + +301 +00:20:35,220 --> 00:20:38,540 +of the lens is less than the amount of fluctuation + +302 +00:20:38,540 --> 00:20:42,920 +it produced. The purchasing power or the receipt, + +303 +00:20:43,160 --> 00:20:45,820 +the receipt that I own + +304 +00:20:49,240 --> 00:20:53,850 +الرصيد اللي أملكه أنا أقل من الدين What's wrong + +305 +00:20:53,850 --> 00:20:56,490 +with me and my brother? It's true that I still + +306 +00:20:56,490 --> 00:20:59,630 +have debt, but less than the first debt. The first + +307 +00:20:59,630 --> 00:21:03,070 +debt was twenty-five dinars, the debt after I paid + +308 +00:21:03,070 --> 00:21:07,110 +part of it remained five dinars of debt. The rays + +309 +00:21:07,110 --> 00:21:10,770 +are divergent by twenty diopters, which means + +310 +00:21:10,770 --> 00:21:13,170 +minus twenty diopters, minus means divergent, + +311 +00:21:13,290 --> 00:21:18,210 +divergent. Now, after the lens left, how much + +312 +00:21:18,210 --> 00:21:22,160 +divergence remained, we say that the rays Ijt + +313 +00:21:22,160 --> 00:21:29,300 +mutashattita bimقدار اللي هو طبعا U زائد P طبعا + +314 +00:21:29,300 --> 00:21:35,340 +يساوي V اللي هو ال virgins عند السطح الخلفي للعدسة + +315 +00:21:35,340 --> 00:21:38,800 +V ال image virgins ال reduced image virgins minus + +316 +00:21:38,800 --> 00:21:49,930 +20 ده يبتر زائد ال power plus plus 10 ده يبتر I get + +317 +00:21:49,930 --> 00:21:53,490 +the result which is V is equal to minus ten + +318 +00:21:53,490 --> 00:21:57,670 +diopters What does all this mean? We say that the + +319 +00:21:57,670 --> 00:22:01,350 +light reached a frequency of minus twenty and left + +320 +00:22:01,350 --> 00:22:05,230 +also at a frequency of minus ten So decreasing the + +321 +00:22:05,230 --> 00:22:06,810 +frequency, what does decreasing the frequency + +322 +00:22:06,810 --> 00:22:10,870 +mean? Decreasing the divergence, that is, in the + +323 +00:22:10,870 --> 00:22:15,000 +direction as if began to make convergence. Of + +324 +00:22:15,000 --> 00:22:17,820 +course, this single lens is not enough in this + +325 +00:22:17,820 --> 00:22:22,220 +case to make convergence, or even enough to make + +326 +00:22:22,220 --> 00:22:26,280 +parallel rays. All its power was exhausted. It + +327 +00:22:26,280 --> 00:22:29,660 +cancelled what it could. The plus ten cancelled + +328 +00:22:29,660 --> 00:22:32,460 +from minus twenty minus ten. I still have minus + +329 +00:22:32,460 --> 00:22:35,100 +ten seconds. That is, the light will come out of + +330 +00:22:35,100 --> 00:22:39,300 +the lens with a magnitude of minus ten diopter. In + +331 +00:22:39,300 --> 00:22:44,350 +this case, في هذه الحالة لن تتكون صورة و لن يمكن + +332 +00:22:44,350 --> 00:22:49,950 +أنه نطلق صورة على لوح التلقى و إنما الصورة هتكون + +333 +00:22:49,950 --> 00:22:54,270 +صورة خيالية و موضوع الصورة الخيالية هنيجي في .. + +334 +00:22:54,270 --> 00:23:01,470 +يعني وقته ان شاء الله تعالى، الآن كل الكلام هذا All + +335 +00:23:01,470 --> 00:23:03,050 +these words that we talked about from the + +336 +00:23:03,050 --> 00:23:05,950 +beginning of the lecture to now To say that the + +337 +00:23:05,950 --> 00:23:08,690 +power of the lens that has two surfaces, the + +338 +00:23:08,690 --> 00:23:12,350 +lenses that we use in our lives The lens of the + +339 +00:23:12,350 --> 00:23:18,870 +glasses, the lens of the adhesive lens, etc. It is + +340 +00:23:18,870 --> 00:23:23,310 +not a condition that its power and capacity are + +341 +00:23:23,310 --> 00:23:26,350 +distributed Its power is its ability to change the + +342 +00:23:26,350 --> 00:23:29,590 +course of events through the laws of friction, + +343 +00:23:29,810 --> 00:23:33,070 +Snell's law In order to change the fluctuating + +344 +00:23:33,070 --> 00:23:36,450 +state of light, it is not necessary to use its + +345 +00:23:36,450 --> 00:23:39,650 +strength and ability to change the fluctuating + +346 +00:23:39,650 --> 00:23:42,450 +state equally between the two surfaces The front + +347 +00:23:42,450 --> 00:23:45,390 +surface facing the object and the back surface + +348 +00:23:45,390 --> 00:23:51,170 +facing the image But it begins by giving the front + +349 +00:23:51,170 --> 00:23:53,270 +surface what is necessary to eliminate the + +350 +00:23:53,270 --> 00:23:56,110 +fluctuation What is necessary to eliminate the + +351 +00:23:56,110 --> 00:24:01,770 +fluctuation and therefore I have the distribution, + +352 +00:24:02,270 --> 00:24:05,850 +what remains of the force is transferred to the + +353 +00:24:05,850 --> 00:24:10,490 +back surface, some of the force of the lens may + +354 +00:24:10,490 --> 00:24:13,370 +remain on the back surface, it may remain zero, it + +355 +00:24:13,370 --> 00:24:18,250 +may remain minus, that is, the light is still + +356 +00:24:18,250 --> 00:24:22,430 +fluctuating, as in this example. Okay, if we + +357 +00:24:22,430 --> 00:24:24,710 +imagine that the light reached a fluctuation of + +358 +00:24:24,710 --> 00:24:29,660 +minus two diopters minus 2 diopter, then from the + +359 +00:24:29,660 --> 00:24:32,880 +plus 10, the lens will start on the front surface + +360 +00:24:32,880 --> 00:24:37,220 +plus 2, to cancel the minus 2, the back surface + +361 +00:24:37,220 --> 00:24:41,340 +will remain plus 8 diopter, then it is not + +362 +00:24:41,340 --> 00:24:46,520 +necessary to distribute the forces equally + +363 +00:24:47,720 --> 00:24:50,740 +According to the lens maker's equation, when light + +364 +00:24:50,740 --> 00:24:59,680 +from an object strikes a reduced version changes + +365 +00:24:59,680 --> 00:25:03,360 +by an amount equal to the power of the front + +366 +00:25:03,360 --> 00:25:05,880 +surface of the lens. + +367 +00:25:09,160 --> 00:25:11,640 +The reduced divergence here, the reduced + +368 +00:25:11,640 --> 00:25:16,780 +divergence here is equal to the force of the front + +369 +00:25:16,780 --> 00:25:21,620 +lens surface if this force is sufficient, okay? + +370 +00:25:23,240 --> 00:25:27,780 +Divergence continues to change as the light moves + +371 +00:25:27,780 --> 00:25:31,380 +from the front to back surface. This is known as + +372 +00:25:31,380 --> 00:25:33,440 +divergence change on transfer. + +373 +00:25:43,940 --> 00:25:46,080 +It will leave the light and will flow from the + +374 +00:25:46,080 --> 00:25:49,040 +front surface to the lens to the back surface This + +375 +00:25:49,040 --> 00:25:51,580 +distance that it cuts can be one millimeter, two + +376 +00:25:51,580 --> 00:25:53,440 +millimeters, three millimeters, half a millimeter, + +377 +00:25:53,860 --> 00:25:56,920 +depending on the thickness of the lens This small + +378 +00:25:56,920 --> 00:26:01,740 +distance is also changed by the divergence under + +379 +00:26:01,740 --> 00:26:04,750 +the light. Why? Because this is a distance وطالما + +380 +00:26:04,750 --> 00:26:09,470 +تغيرت المسافة طالما تغيرت المسافة ال virgins تاع + +381 +00:26:09,470 --> 00:26:13,270 +ال light لازم يتغير ليش لأن ال virgins مقلوب + +382 +00:26:13,270 --> 00:26:16,950 +المسافة اتغيرت المسافة virgins تساوي واحد على + +383 +00:26:16,950 --> 00:26:21,110 +المسافة او المسافة تساوي واحد على ال virgins نفرض + +384 +00:26:21,110 --> 00:26:26,130 +هاى النقطة ايه اللى هى ال object تبعد عشرة صنطة عن + +385 +00:26:26,130 --> 00:26:31,750 +السطح الأمامى للعدسة و العدسة سمكها سمكها واحد + +386 +00:26:31,750 --> 00:26:36,060 +مليون So, when the light is emitted from point A + +387 +00:26:36,060 --> 00:26:39,180 +and reaches this surface, the front surface will + +388 +00:26:39,180 --> 00:26:42,780 +be 10 cm. So, when the light reaches the back + +389 +00:26:42,780 --> 00:26:46,140 +surface, it will be 10 cm and 1 mm, which is the + +390 +00:26:46,140 --> 00:26:48,380 +thickness of the lens. Of course, we draw the lens + +391 +00:26:48,380 --> 00:26:52,040 +in a very thick way to clarify the drawings that + +392 +00:26:52,040 --> 00:26:55,700 +we explained a while ago. So, the light cuts a + +393 +00:26:55,700 --> 00:26:58,600 +distance from here to the front surface of 10 cm, + +394 +00:26:59,340 --> 00:27:03,020 +and it should add it above 10 cm 1 mm which is the + +395 +00:27:03,020 --> 00:27:05,020 +thickness of the lens of course we make sure that + +396 +00:27:05,020 --> 00:27:07,880 +we drew it in a very thick way to clarify the + +397 +00:27:07,880 --> 00:27:11,460 +drawings okay isn't 1 mm a distance? of course + +398 +00:27:11,460 --> 00:27:13,680 +it's a distance a distance in the end is a + +399 +00:27:13,680 --> 00:27:15,760 +distance no matter how small it is and as long as + +400 +00:27:15,760 --> 00:27:18,700 +it's a distance no matter how small it is then the + +401 +00:27:18,700 --> 00:27:21,020 +distance that the light cuts has changed from 10 + +402 +00:27:21,020 --> 00:27:26,240 +cm to 10 cm 1 mm Ten centimeters and one + +403 +00:27:26,240 --> 00:27:29,340 +millimeter. So, ten and one of ten centimeters. + +404 +00:27:29,760 --> 00:27:33,820 +So, the divergence changed because the distance + +405 +00:27:33,820 --> 00:27:38,760 +increased by one of ten centimeters. Of course, + +406 +00:27:40,280 --> 00:27:42,600 +the power of the lens is divided into three parts. + +407 +00:27:43,260 --> 00:27:47,390 +The power will go to the front surface and a force + +408 +00:27:47,390 --> 00:27:51,510 +that changes the polarity of the light inside the + +409 +00:27:51,510 --> 00:27:55,270 +lens which is called the vergence on transfer and + +410 +00:27:55,270 --> 00:27:57,310 +a force on the back surface which is called the + +411 +00:27:57,310 --> 00:28:01,890 +back power, the back power of the lens, okay? So, + +412 +00:28:02,370 --> 00:28:07,230 +the power of the lens, when we say single + +413 +00:28:07,230 --> 00:28:11,310 +refracting service We say power and we stay silent. + +414 +00:28:11,630 --> 00 + +445 +00:30:38,030 --> 00:30:41,610 +on a plus the power of the front plus the power of + +446 +00:30:41,610 --> 00:30:46,650 +the transfer plus the power of the back surface. As + +447 +00:30:46,650 --> 00:30:50,270 +if we say, you will get a fluctuation from the + +448 +00:30:50,270 --> 00:30:53,370 +object, the amount of fluctuation or the reduced + +449 +00:30:53,370 --> 00:30:55,530 +variance of the light that comes from the object + +450 +00:30:55,530 --> 00:30:59,050 +is equal to minus N over O. It will receive the + +451 +00:30:59,050 --> 00:31:02,830 +front surface of the lens with a force equal to + +452 +00:31:02,830 --> 00:31:04,590 +the front surface force. And we said that the + +453 +00:31:04,590 --> 00:31:06,790 +force of the front surface varies according to the + +454 +00:31:06,790 --> 00:31:10,610 +amount of charge or amplitude. Then, after leaving + +455 +00:31:10,610 --> 00:31:13,290 +the front surface, the lens will send a part of + +456 +00:31:13,290 --> 00:31:17,050 +its force to transfer the light and change the + +457 +00:31:17,050 --> 00:31:19,610 +amplitude of the light from the front surface to + +458 +00:31:19,610 --> 00:31:23,090 +the back surface. After that, it will receive the + +459 +00:31:23,090 --> 00:31:25,670 +back surface with what is left of its power and + +460 +00:31:25,670 --> 00:31:29,250 +after that, all this work will lead either to form + +461 +00:31:29,250 --> 00:31:32,530 +a real picture if all the results are positive, + +462 +00:31:32,710 --> 00:31:35,870 +that is, if at the back surface the light comes + +463 +00:31:35,870 --> 00:31:38,610 +out convergent, it means that the three forces, + +464 +00:31:38,870 --> 00:31:41,810 +the power of the front and the power of the + +465 +00:31:41,810 --> 00:31:44,950 +transfer and the power of the back succeeded in + +466 +00:31:44,950 --> 00:31:47,530 +changing the fluctuation state of the light from + +467 +00:31:47,530 --> 00:31:50,710 +fluctuating to colliding. So sometimes the image + +468 +00:31:50,710 --> 00:31:58,670 +will be real. But if the total result of the lens + +469 +00:31:58,670 --> 00:32:02,690 +dealing with its three forces with the fluctuating + +470 +00:32:02,690 --> 00:32:04,690 +state of the light coming from the object was + +471 +00:32:04,690 --> 00:32:10,650 +negative, in other words, we reached the point that + +472 +00:32:10,650 --> 00:32:12,530 +the light that came out of the lens was also + +473 +00:32:12,530 --> 00:32:14,450 +fluctuating. It is true that it was less + +474 +00:32:14,450 --> 00:32:17,030 +fluctuating than what came in. It came in with a + +475 +00:32:17,030 --> 00:32:20,010 +fluctuation of minus 20 diopters and came out with + +476 +00:32:20,010 --> 00:32:23,090 +a fluctuation of minus 10 diopters. The light was + +477 +00:32:23,090 --> 00:32:25,730 +less, the fluctuation was less. It is as if the + +478 +00:32:25,730 --> 00:32:27,730 +rays began to accumulate, but they are not + +479 +00:32:27,730 --> 00:32:29,930 +accumulated. We cannot call them accumulated, they + +480 +00:32:29,930 --> 00:32:33,210 +are fluctuating. So, the fluctuating rays, no + +481 +00:32:33,210 --> 00:32:35,030 +matter how much they spread, did not form a + +482 +00:32:35,030 --> 00:32:39,520 +picture. In general, light is fluctuating and + +483 +00:32:39,520 --> 00:32:41,560 +interacting with it. When it collides, it will + +484 +00:32:41,560 --> 00:32:43,940 +collide with the front surface. The front surface + +485 +00:32:43,940 --> 00:32:48,820 +will interact with it with a certain force. Then, + +486 +00:32:50,240 --> 00:32:54,220 +the lens will release its force inside the lens, + +487 +00:32:54,340 --> 00:32:56,560 +inside the body of the lens to transfer the light + +488 +00:32:56,560 --> 00:32:59,140 +or to change the fluctuating state from the front + +489 +00:32:59,140 --> 00:33:02,380 +surface to the back surface. This is called power + +490 +00:33:02,380 --> 00:33:06,840 +over transfer. The light will come out from the + +491 +00:33:06,840 --> 00:33:10,360 +back of the lens and the power of the back of the + +492 +00:33:10,360 --> 00:33:12,860 +lens so that you can deal with it to change the + +493 +00:33:12,860 --> 00:33:15,700 +fluctuation state. All this work in these three + +494 +00:33:15,700 --> 00:33:20,500 +areas السطح الأمامي، داخل العدسة، على السطح الخلفي، + +495 +00:33:20,500 --> 00:33:24,820 +كله هيأدي ل Uncharted على I Uncharted على I، إذا + +496 +00:33:24,820 --> 00:33:28,940 +قيمة موجبة، هتتكون صورة متجمعة أو هتتجمع الأشعة في + +497 +00:33:28,940 --> 00:33:33,160 +صورة حقيقية، إذا كان قيمة سالبة، هيتظلها الأشعة + +498 +00:33:33,160 --> 00:33:36,440 +متشتتة، أقل تشتتة مما دخلت، ولكن + +499 +00:33:50,010 --> 00:33:54,850 +The power of the front and back lens surfaces are + +500 +00:33:54,850 --> 00:33:56,050 +easily calculated. + +501 +00:33:58,940 --> 00:34:01,540 +The power of the front surface and the power of + +502 +00:34:01,540 --> 00:34:06,220 +the rear surface easily, but the issue of the + +503 +00:34:06,220 --> 00:34:09,920 +vergence exchange on transfer is difficult to + +504 +00:34:09,920 --> 00:34:12,700 +calculate. That is, how much is the share of the + +505 +00:34:12,700 --> 00:34:16,260 +transfer power, which is the power of the inside + +506 +00:34:16,260 --> 00:34:19,560 +of the lens to change the oscillation state inside + +507 +00:34:19,560 --> 00:34:20,160 +the lens. + +508 +00:34:29,440 --> 00:34:33,990 +However, because the divergence change on the + +509 +00:34:33,990 --> 00:34:38,390 +transfer is small in a thin lens. طبعا العدسات + +510 +00:34:38,390 --> 00:34:43,510 +اللي إحنا بنستعملها غالبا عبارة عن عدسات رقيقة + +511 +00:34:43,510 --> 00:34:47,990 +يعني ليست عدسات سميكة فالخمل بتاعها أو السمك + +512 +00:34:47,990 --> 00:34:53,750 +بتاعها تقريبا أجزاء من الملي أو ملي فبالتالي تعتبر + +513 +00:34:53,750 --> 00:34:58,170 +عدسات يعني رقيقة جدا ال power بتاعة ال transfer + +514 +00:34:58,640 --> 00:35:05,100 +Power قليل جدا لدرجة يمكن اهمالها من باب التقريب + +515 +00:35:05,100 --> 00:35:08,420 +من باب ال approximation هذه ال power بتاعة ال + +516 +00:35:08,420 --> 00:35:13,200 +transfer هنهملها و هتصبح ال lens makers equation + +517 +00:35:13,200 --> 00:35:19,000 +هتصبح ال lens makers equation طبعا n على o زائد p + +518 +00:35:19,000 --> 00:35:23,270 +يسوى n شرط على i, here P means the power of the + +519 +00:35:23,270 --> 00:35:26,110 +front service plus the power of the back service + +520 +00:35:26,110 --> 00:35:28,930 +and we will neglect the power of the transfer + +521 +00:35:28,930 --> 00:35:30,970 +because it is very little and it will not affect + +522 +00:35:30,970 --> 00:35:36,190 +the correctness of the solution and the solution + +523 +00:35:36,190 --> 00:35:39,310 +will be very accurate by a very large percentage + +524 +00:35:39,310 --> 00:35:43,210 +of course not 100% accurate because we omitted a + +525 +00:35:43,210 --> 00:35:46,010 +very small part of the power that is hardly + +526 +00:35:46,010 --> 00:35:48,570 +mentioned in terms of approximation and in terms + +527 +00:35:48,570 --> 00:35:52,690 +of facilitating matters. However, because the + +528 +00:35:52,690 --> 00:35:55,730 +divergence change on the transfer is small in a + +529 +00:35:55,730 --> 00:35:59,870 +thin lens, it is ignored, it is ignored, it is + +530 +00:35:59,870 --> 00:36:01,730 +ignored, it is ignored, it is ignored, it is + +531 +00:36:01,730 --> 00:36:02,430 +ignored, it is ignored, it is ignored, it is + +532 +00:36:02,430 --> 00:36:03,490 +ignored, it is ignored, it is ignored, it is + +533 +00:36:03,490 --> 00:36:03,750 +ignored, it is ignored, it is ignored, it is + +534 +00:36:03,750 --> 00:36:06,070 +ignored, it is ignored, it is ignored, it is + +535 +00:36:06,070 --> 00:36:06,970 +ignored, it is ignored, it is ignored, it is + +536 +00:36:06,970 --> 00:36:07,150 +ignored, it is ignored, it is ignored, it is + +537 +00:36:07,150 --> 00:36:07,750 +ignored, it is ignored, it is ignored, it is + +538 +00:36:07,750 --> 00:36:07,770 +ignored, it is ignored, it is ignored, it is + +539 +00:36:07,770 --> 00:36:07,810 +ignored, it is ignored, it is ignored, it is + +540 +00:36:07,810 --> 00:36:09,690 +ignored, it is ignored, it is ignored, it is + +541 +00:36:09,690 --> 00:36:12,740 +ignored, it is ignoredالمقاربة او التقريب بتاع + +542 +00:36:12,740 --> 00:36:17,320 +العدسات الرقيقة و طبعا هذا الكلام لا يصلح ابدا اذا + +543 +00:36:17,320 --> 00:36:21,260 +عندي العدسة يعني thick lens لا يصلح ابدا اذا + +544 +00:36:21,260 --> 00:36:25,140 +العدسة عندي thick lens و هانعيد كتابة ال lens + +545 +00:36:25,140 --> 00:36:29,640 +maker equation ناقص N على O زائد ال power يساوي + +546 +00:36:29,640 --> 00:36:34,220 +Uncharted على I هذه المعادلة الجديدة اسمها thin + +547 +00:36:34,220 --> 00:36:38,620 +lens equation اسمها thin lens equation ممكن انسان + +548 +00:36:38,620 --> 00:36:43,310 +يسأل يقول هى نفسنفس كتابة ال lens maker equation + +549 +00:36:43,310 --> 00:36:47,070 +لأن ال lens maker equation عبارة عن ناقص N على O + +550 +00:36:47,070 --> 00:36:51,150 +زائد P و سواء شرط على I بنقول الكلام فعلا صحيح ال + +551 +00:36:51,150 --> 00:36:55,970 +lens maker equation و ال thin lens equation هم نفس + +552 +00:36:55,970 --> 00:37:01,570 +المعادلة بس اللهم لما أنا بحكي lens maker equation + +553 +00:37:01,570 --> 00:37:06,950 +أنا بقصد فيها single refracting surface سطح واحد + +554 +00:37:07,550 --> 00:37:11,870 +single refracting surface بقول هذه إذا إذا بنعني + +555 +00:37:11,870 --> 00:37:15,430 +فيها هذه المعادلة single refracting surface معناته + +556 +00:37:15,430 --> 00:37:19,550 +أنا بتكلم عن ال lens makers equation أما إذا أنا + +557 +00:37:19,550 --> 00:37:24,810 +هذه اللي كتبته هذه المعادلة المكتوبة بعني فيها + +558 +00:37:24,810 --> 00:37:29,570 +عدسة ذات سطحين معناته أنا بعني thin lens equation + +559 +00:37:29,570 --> 00:37:34,810 +و ساعتها P هذه تعتبر the power of the front + +560 +00:37:34,810 --> 00:37:38,370 +service plus the power of the back service. The + +561 +00:37:38,370 --> 00:37:42,830 +thin lens equation and lens makers equation appear + +562 +00:37:42,830 --> 00:37:47,330 +to be the same. However, + +563 +00:37:47,330 --> 00:37:51,970 +there is an important difference in lens maker + +564 +00:37:51,970 --> 00:37:56,470 +equation. In the lens maker equation, power is the + +565 +00:37:56,470 --> 00:37:59,650 +power of a single service. In the thin lens + +566 +00:37:59,650 --> 00:38:03,390 +equation, power is the combined power of the front + +567 +00:38:03,390 --> 00:38:08,030 +and back services. In the front and back services + +568 +00:38:08,030 --> 00:38:14,750 +طبعا هناخد مثال هناخد مثال أو أمثلة المرة القادمة + +569 +00:38:14,750 --> 00:38:20,030 +ان شاء الله تعالى في ما يسمى ملحق هذه المحاضرة + +570 +00:38:20,030 --> 00:38:25,130 +ويعطيكم العافية والسلام عليكم ورحمة الله وبركاته diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r_OYwySvpUc_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r_OYwySvpUc_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..13ae019ca714f19253921cd48aee078256ace9a5 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/r_OYwySvpUc_postprocess.srt @@ -0,0 +1,1320 @@ +1 +00:00:01,700 --> 00:00:06,820 +بسم الله الرحمن الرحيم وصلنا عند انه ال lens maker + +2 +00:00:06,820 --> 00:00:12,100 +equation بستطيع ان اعبر عنها بطريقة convergence ال + +3 +00:00:12,100 --> 00:00:19,040 +lens maker equation عشان يعني نتذكرها اللي هي ناقص + +4 +00:00:19,040 --> 00:00:25,960 +N على O زائد انشرطة ناقص N على R يساوي انشرطة على + +5 +00:00:25,960 --> 00:00:31,930 +Iand I can express it through versions + +6 +00:00:31,930 --> 00:00:41,650 +calculations as we will talk about later if + +7 +00:00:41,650 --> 00:00:52,370 +we + +8 +00:00:52,370 --> 00:00:56,310 +take this drawingAnd we said that the light that + +9 +00:00:56,310 --> 00:01:00,330 +comes out of the object or the point becomes + +10 +00:01:00,330 --> 00:01:04,230 +divergent But this divergence decreases as the + +11 +00:01:04,230 --> 00:01:08,510 +distance increases Because the divergence of the + +12 +00:01:08,510 --> 00:01:11,530 +light increases as the distance decreasesmeans + +13 +00:01:11,530 --> 00:01:16,090 +divergence or the divergence decreases until it + +14 +00:01:16,090 --> 00:01:18,570 +reaches the surface of the spherical refracting + +15 +00:01:18,570 --> 00:01:21,870 +surface, then the distance is equal to the + +16 +00:01:21,870 --> 00:01:24,290 +distance of the object, which is the distance of + +17 +00:01:24,290 --> 00:01:27,210 +the object from the refracting surface is equal to + +18 +00:01:27,210 --> 00:01:30,690 +O. Okay, this is the distance of the object. What + +19 +00:01:30,690 --> 00:01:35,890 +is the divergence of the light at a surface?which + +20 +00:01:35,890 --> 00:01:39,570 +is the refracting surface which is negative one + +21 +00:01:39,570 --> 00:01:42,270 +over O, negative one over O Why is it negative one + +22 +00:01:42,270 --> 00:01:44,690 +over O? Negative one over O is negative because + +23 +00:01:44,690 --> 00:01:48,370 +the light is divergent and one over O is because + +24 +00:01:48,370 --> 00:01:50,210 +it cuts off its distance, this is the divergence + +25 +00:01:50,210 --> 00:01:53,310 +Now if I want to get the reduced divergence at + +26 +00:01:53,310 --> 00:01:56,380 +this point, at the surfacerefracting service. I + +27 +00:01:56,380 --> 00:01:58,400 +want to multiply by the refractive index of the + +28 +00:01:58,400 --> 00:02:01,540 +air. When I say negative one over O which is the + +29 +00:02:01,540 --> 00:02:03,260 +vergence, of course it is known that it is the + +30 +00:02:03,260 --> 00:02:05,620 +reduced vergence, it is the vergence in the + +31 +00:02:05,620 --> 00:02:08,180 +refractive index. Well, the vergence turned out to + +32 +00:02:08,180 --> 00:02:11,140 +be negative one over O. I want to multiply it by + +33 +00:02:11,140 --> 00:02:13,540 +the refractive index of the substance in which the + +34 +00:02:13,540 --> 00:02:16,840 +light in this case flowed in the air. So it is + +35 +00:02:16,840 --> 00:02:19,760 +equal to negative one over O times N, which is + +36 +00:02:19,760 --> 00:02:23,630 +equal to negative N over O.So the reduced vergence + +37 +00:02:23,630 --> 00:02:26,790 +of the light that comes from the object when this + +38 +00:02:26,790 --> 00:02:28,450 +light reaches the surface of the refracting + +39 +00:02:28,450 --> 00:02:33,270 +surface is equal to minus N over O Now after that + +40 +00:02:33,270 --> 00:02:35,730 +the refracting surface will change the state of + +41 +00:02:35,730 --> 00:02:36,810 +oscillation of the light + +42 +00:02:40,360 --> 00:02:44,360 +divergent became convergent okay, how much will it + +43 +00:02:44,360 --> 00:02:48,660 +change its fluctuation? according to the power of + +44 +00:02:48,660 --> 00:02:51,180 +the refracting surface, which is the power because + +45 +00:02:51,180 --> 00:02:54,140 +if it is stronger, it will gather at a shorter + +46 +00:02:54,140 --> 00:02:56,960 +distance if it is weaker, it will gather at a + +47 +00:02:56,960 --> 00:03:01,140 +longer distance if it is, for example, with a + +48 +00:03:01,140 --> 00:03:03,960 +certain force, it will gather at this point of + +49 +00:03:03,960 --> 00:03:07,910 +course, so when the light reachesto the surface of + +50 +00:03:07,910 --> 00:03:10,530 +the refracting surface, the reduced divergence + +51 +00:03:10,530 --> 00:03:16,230 +will be minus N over O minus N over O, so it has a + +52 +00:03:16,230 --> 00:03:21,750 +fluctuating state, the reduced divergence + +53 +00:03:21,750 --> 00:03:26,190 +is equal to minus N over O now this fluctuating + +54 +00:03:26,190 --> 00:03:28,610 +state will change, why will it change? because the + +55 +00:03:28,610 --> 00:03:31,630 +light will enter on it or it will enter on the + +56 +00:03:31,630 --> 00:03:36,510 +refracting surfaceit will change its direction + +57 +00:03:36,510 --> 00:03:40,070 +from + +58 +00:03:40,070 --> 00:03:47,110 +divergent to convergent. The change in the + +59 +00:03:47,110 --> 00:03:50,050 +divergent state is equivalent to the force of the + +60 +00:03:50,050 --> 00:03:57,430 +refracting surface. In the end, the light that + +61 +00:03:57,430 --> 00:04:01,570 +began to solidify will form a picture here.At this + +62 +00:04:01,570 --> 00:04:05,610 +point, the divergence of the light that is going + +63 +00:04:05,610 --> 00:04:10,170 +to form the image is equal to the divergence of + +64 +00:04:10,170 --> 00:04:14,390 +the light that is going to form the image. + +65 +00:04:17,880 --> 00:04:20,620 +refracting surface turned it from flat to + +66 +00:04:20,620 --> 00:04:25,060 +collected. So, the flat state of light at this + +67 +00:04:25,060 --> 00:04:26,960 +point, at the surface of the refracting surface, + +68 +00:04:27,060 --> 00:04:30,520 +but inside the glass, of course, to get it, we + +69 +00:04:30,520 --> 00:04:32,840 +need to get the vergence first, before we get the + +70 +00:04:32,840 --> 00:04:36,900 +reduced vergence. The vergence of light at this + +71 +00:04:36,900 --> 00:04:39,340 +point is equal to the inverse of the distance. But + +72 +00:04:39,340 --> 00:04:41,980 +here, the distance now, we need to collect to form + +73 +00:04:41,980 --> 00:04:45,980 +the image. If you calculate the distance,This + +74 +00:04:45,980 --> 00:04:50,640 +distance is I. Image distance. The divergence is + +75 +00:04:50,640 --> 00:04:53,160 +one over the image distance. The divergence at + +76 +00:04:53,160 --> 00:04:55,840 +this point is one over the image distance because + +77 +00:04:55,840 --> 00:04:58,020 +the light at this point is still away from the + +78 +00:04:58,020 --> 00:05:03,180 +distance I.which is the image. The divergence is + +79 +00:05:03,180 --> 00:05:06,280 +equal to plus one over I. So why did we say plus + +80 +00:05:06,280 --> 00:05:09,280 +here and minus here? Minus here because it is + +81 +00:05:09,280 --> 00:05:12,560 +divergent and plus here because it is convergent. + +82 +00:05:12,840 --> 00:05:15,800 +Plus one over I is the divergence. So the reduced + +83 +00:05:15,800 --> 00:05:19,040 +divergence at this point, which is the fluctuation + +84 +00:05:19,040 --> 00:05:22,820 +that is reduced at this pointreduced vergence + +85 +00:05:22,820 --> 00:05:26,840 +يساوي الـvergence نفسه اللي هو طلعناها 1 على I في + +86 +00:05:26,840 --> 00:05:29,540 +أن شرط ال refractive index بتاع المادة اللي بيسر + +87 +00:05:29,540 --> 00:05:34,500 +فيها الضوء وهي الزجاج في هذه الحالة يساوي أن شرطها + +88 +00:05:34,500 --> 00:05:40,060 +على I اذا as the light leaves the refracting + +89 +00:05:40,060 --> 00:05:43,360 +surface غادر ال refracting surface وصار داخل + +90 +00:05:43,360 --> 00:05:46,600 +الزجاج as the light leaves the refracting surface + +91 +00:05:46,600 --> 00:05:51,210 +it has reduced vergence ofWe said before that when + +92 +00:05:51,210 --> 00:05:54,030 +it reaches the surface, the reduced variance is + +93 +00:05:54,030 --> 00:05:58,590 +negative one over OIt should be added when it + +94 +00:05:58,590 --> 00:06:01,090 +happens inside the power glass Because why should + +95 +00:06:01,090 --> 00:06:03,490 +we add power? Because it changed the fluctuation + +96 +00:06:03,490 --> 00:06:05,730 +state of the light And we said that the divergence + +97 +00:06:05,730 --> 00:06:09,970 +and the reduced divergence It is the fluctuation + +98 +00:06:09,970 --> 00:06:12,210 +state of the light Whether it is fluctuating or + +99 +00:06:12,210 --> 00:06:14,450 +colliding How did it suddenly change from + +100 +00:06:14,450 --> 00:06:16,710 +fluctuating to colliding? By adding power, that + +101 +00:06:16,710 --> 00:06:19,870 +is, it was added to the fluctuation state of the + +102 +00:06:19,870 --> 00:06:22,690 +power of the lens or power So when the point is + +103 +00:06:22,690 --> 00:06:26,460 +highbegan to enter the glass, still away from the + +104 +00:06:26,460 --> 00:06:28,980 +distance I from the image, distance I from the + +105 +00:06:28,980 --> 00:06:33,520 +image, but he entered the glass on the right side, + +106 +00:06:33,980 --> 00:06:36,360 +if the expression is correct, of the refracting + +107 +00:06:36,360 --> 00:06:40,660 +surface, the vergence or the reduced vergence will + +108 +00:06:40,660 --> 00:06:44,820 +be N over O plus the power, N over O plus the + +109 +00:06:44,820 --> 00:06:52,470 +power, this N over O plus the powerبس لأنه الضوء + +110 +00:06:52,470 --> 00:06:57,650 +صار من متشتت converging to an image point this + +111 +00:06:57,650 --> 00:07:02,770 +must equal n sharp على I ال N على O زائد P لازم من + +112 +00:07:02,770 --> 00:07:08,040 +كل podthe n over o plus b is the reduced variance + +113 +00:07:08,040 --> 00:07:10,480 +of the light, this is the reduced variance of the + +114 +00:07:10,480 --> 00:07:14,000 +light at any point here, no not here, because here + +115 +00:07:14,000 --> 00:07:17,220 +only minus n over o, still the light did not touch + +116 +00:07:17,220 --> 00:07:20,920 +the refracting surface, it reached its limit, so + +117 +00:07:20,920 --> 00:07:26,150 +the variance of it at this pointNegative one over + +118 +00:07:26,150 --> 00:07:28,830 +O, but the reduced vergence is negative one over + +119 +00:07:28,830 --> 00:07:31,510 +O, because the reduced vergence is the vergence + +120 +00:07:31,510 --> 00:07:35,030 +times the refractive index The N passed, passed + +121 +00:07:35,030 --> 00:07:38,530 +and changed itself What is the proof? It was + +122 +00:07:38,530 --> 00:07:42,110 +divergent and became convergent, it was divergent + +123 +00:07:42,110 --> 00:07:45,530 +and became convergent Okay, okay, what changed + +124 +00:07:45,530 --> 00:07:50,450 +itself? The power of this, so at this point, at + +125 +00:07:50,450 --> 00:07:55,510 +this pointالضوء عنده reduced divergence يساوي ناقص + +126 +00:07:55,510 --> 00:07:59,210 +N على O زائد ال power ناقص N على O زائد ال power + +127 +00:07:59,210 --> 00:08:03,370 +أنا قاعد بأشير بالضبط وين النقطة اللي الضوء فيها + +128 +00:08:03,370 --> 00:08:07,810 +عنده reduced divergence يساوي ناقص N على O زائد ال + +129 +00:08:07,810 --> 00:08:14,090 +power طيب ناقص N على O زائد ال powerLack of N over + +130 +00:08:14,090 --> 00:08:17,330 +O plus power is the reduced divergence of light as + +131 +00:08:17,330 --> 00:08:22,050 +soon as it leaves the spherical refracting + +132 +00:08:22,050 --> 00:08:22,410 +surface. + +133 +00:08:27,470 --> 00:08:31,070 +reduced version is negative n over o plus power + +134 +00:08:31,070 --> 00:08:35,370 +this negative n over o plus power is necessary + +135 +00:08:35,370 --> 00:08:39,270 +from every point that is equal to i how do we know + +136 +00:08:39,270 --> 00:08:43,650 +that it is equal to i? we say negative n over o + +137 +00:08:43,650 --> 00:08:47,550 +plus power we say this light is moving in the + +138 +00:08:47,550 --> 00:08:50,350 +glass this light is moving in the glass its + +139 +00:08:50,350 --> 00:08:53,890 +distance from this pointit's away from the image + +140 +00:08:53,890 --> 00:08:57,030 +distance of I how much is the divergence of 1 over + +141 +00:08:57,030 --> 00:09:01,950 +I? 1 over I how much is the reduced divergence of + +142 +00:09:01,950 --> 00:09:04,810 +1 over I in any condition? it's equal to any + +143 +00:09:04,810 --> 00:09:09,710 +condition over I since negative N over O plus P + +144 +00:09:09,710 --> 00:09:15,330 +since negative N over O plus P negative N over O + +145 +00:09:15,330 --> 00:09:20,860 +plus P is the reduced divergence of lightThe + +146 +00:09:20,860 --> 00:09:24,280 +reduced divergence of light at this point and also + +147 +00:09:24,280 --> 00:09:28,040 +the reduced divergence of light at this point if + +148 +00:09:28,040 --> 00:09:32,480 +we calculate by distance I, the reduced divergence + +149 +00:09:32,480 --> 00:09:35,900 +is equal to what at this point?We say how far the + +150 +00:09:35,900 --> 00:09:38,060 +light is from the point, from the image, with a + +151 +00:09:38,060 --> 00:09:40,760 +distance of I So the divergence is 1 over I, but I + +152 +00:09:40,760 --> 00:09:42,420 +don't want the divergence, I want the reduced + +153 +00:09:42,420 --> 00:09:46,300 +divergence N conditional over I So the reduced + +154 +00:09:46,300 --> 00:09:48,580 +divergence at this point is equal to N conditional + +155 +00:09:48,580 --> 00:09:51,880 +over I and at the same time the reduced divergence + +156 +00:09:51,880 --> 00:09:56,160 +at this point is equal to negative N over O plus B + +157 +00:09:56,580 --> 00:10:02,060 +بهيك بنستنتج أنه ناقص N على O زائد P يساوي + +158 +00:10:02,060 --> 00:10:06,680 +الانشارطة على I لأنه كل منهم يساوي ال reduced + +159 +00:10:06,680 --> 00:10:13,000 +divergence. But because the light is converging to + +160 +00:10:13,000 --> 00:10:16,660 +an image point, this must equal انشارطة على I. + +161 +00:10:17,140 --> 00:10:20,420 +Calculations using the lensmaker equation are + +162 +00:10:20,420 --> 00:10:23,550 +inconvenientbecause they involve reciprocal + +163 +00:10:23,550 --> 00:10:40,990 +distances because they + +164 +00:10:40,990 --> 00:10:44,930 +reciprocal distancesminus n over o plus power is + +165 +00:10:44,930 --> 00:10:49,510 +equal to minus n over i minus n over o plus power + +166 +00:10:49,510 --> 00:10:54,370 +is equal to minus n over i minus n over o is given + +167 +00:10:54,370 --> 00:10:59,990 +by the letter u the letter u minus i is given by + +168 +00:10:59,990 --> 00:11:02,990 +the letter v given by the letter v we will go back + +169 +00:11:02,990 --> 00:11:05,190 +to this slide but let's go back to previous + +170 +00:11:05,190 --> 00:11:08,490 +lectures when we got the lensmakers equation + +171 +00:11:15,150 --> 00:11:18,850 +We say negative n over o plus p is equal to + +172 +00:11:18,850 --> 00:11:22,210 +negative n over i Negative n over o which is the + +173 +00:11:22,210 --> 00:11:25,750 +reduced version of the object Of the light coming + +174 +00:11:25,750 --> 00:11:29,850 +from the object We say this is equal to u or we + +175 +00:11:29,850 --> 00:11:32,090 +mark it with the symbol u And the power which is + +176 +00:11:32,090 --> 00:11:36,170 +negative negative n over r is the power And v is + +177 +00:11:36,170 --> 00:11:38,690 +the reduced image version The reduced image + +178 +00:11:38,690 --> 00:11:42,410 +version means the reduced version of the light + +179 +00:11:42,410 --> 00:11:46,430 +that is going to form the imageso u plus p equals + +180 +00:11:46,430 --> 00:11:52,750 +v u plus p equals v of course as we said that n is + +181 +00:11:52,750 --> 00:11:56,730 +the reduced object version and the condition for i + +182 +00:11:56,730 --> 00:11:59,530 +is the reduced image version of course the version + +183 +00:11:59,530 --> 00:12:03,390 +is what we are talking about in this lecture but + +184 +00:12:03,390 --> 00:12:06,150 +there is a point we want to point out we say as + +185 +00:12:06,150 --> 00:12:10,960 +follows that the word reduced object versionmeans + +186 +00:12:10,960 --> 00:12:14,220 +the reduced vergence of the light coming out of + +187 +00:12:14,220 --> 00:12:17,340 +the object the object itself is not reduced the + +188 +00:12:17,340 --> 00:12:22,500 +light that comes out of it when it reaches the + +189 +00:12:22,500 --> 00:12:25,860 +surface of the refracting surface its vergence is + +190 +00:12:25,860 --> 00:12:29,900 +1 over it minus 1 over it and it is the reduced + +191 +00:12:29,900 --> 00:12:32,340 +vergence of the light that comes out of the object + +192 +00:12:32,340 --> 00:12:34,500 +when it reaches the surface of the refracting + +193 +00:12:34,500 --> 00:12:38,990 +surfaceIt is less than or equal to Also, we should + +194 +00:12:38,990 --> 00:12:42,250 +note that the reduced image vergence does not mean + +195 +00:12:42,250 --> 00:12:45,150 +that the image is reduced. It means that the + +196 +00:12:45,150 --> 00:12:51,270 +reduced vergence of the light is due to the light + +197 +00:12:51,270 --> 00:12:57,130 +coming to form the image. After it passes through + +198 +00:12:57,130 --> 00:12:59,530 +the surface of the refracting surface, it is still + +199 +00:12:59,530 --> 00:13:04,050 +away from the distance I.about the image, we say + +200 +00:13:04,050 --> 00:13:06,850 +that the divergence in this case is 1 over I but + +201 +00:13:06,850 --> 00:13:09,370 +the reduced divergence is unconditional over I, + +202 +00:13:09,470 --> 00:13:10,830 +why is it unconditional? Because it happened + +203 +00:13:10,830 --> 00:13:14,110 +inside the glass, so I say that the equation of + +204 +00:13:14,110 --> 00:13:17,130 +the lens maker's equation can be written in this + +205 +00:13:17,130 --> 00:13:19,910 +form or it can be written in this form in the form + +206 +00:13:19,910 --> 00:13:22,330 +of divergence calculations in the form of + +207 +00:13:22,330 --> 00:13:25,910 +divergence calculations and this is a way to + +208 +00:13:25,910 --> 00:13:30,370 +facilitate calculations as we will see lateror + +209 +00:13:30,370 --> 00:13:37,950 +here when we reach this point So, + +210 +00:13:38,030 --> 00:13:41,890 +divergence is a way to simplify the calculations + +211 +00:13:41,890 --> 00:13:46,290 +it is a way to simplify the calculations by means + +212 +00:13:46,290 --> 00:13:50,030 +of reduced divergence the lens makers equation can + +213 +00:13:50,030 --> 00:13:51,550 +be written as N over O + +214 +00:13:58,070 --> 00:14:01,890 +u-pv-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u + +215 +00:14:01,890 --> 00:14:04,350 +-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v + +216 +00:14:04,350 --> 00:14:04,430 +-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u + +217 +00:14:04,430 --> 00:14:04,490 +-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v-u-v + +218 +00:14:04,490 --> 00:14:11,710 +-u-v-u-v-u-v-u-v-u-v-u-vobject versions and V is + +219 +00:14:11,710 --> 00:14:16,650 +the reduced image versions and B is the power. As + +220 +00:14:16,650 --> 00:14:19,490 +we said when we say reduced object versions, we + +221 +00:14:19,490 --> 00:14:22,270 +mean reduced versions of the light coming out of + +222 +00:14:22,270 --> 00:14:24,470 +the object when it reaches the surface of the + +223 +00:14:24,470 --> 00:14:27,510 +refracting surface. Reduced image versions means + +224 +00:14:27,510 --> 00:14:31,210 +reduced versions of the light that is going to + +225 +00:14:31,210 --> 00:14:33,710 +form the image after entering the refracting + +226 +00:14:33,710 --> 00:14:38,010 +surface. U is reduced object versions and V is + +227 +00:14:38,010 --> 00:14:38,970 +reduced image. + +228 +00:14:58,850 --> 00:15:05,650 +Consider an object 50 cm in front of a plus 5 + +229 +00:15:05,650 --> 00:15:10,150 +diopterrefracting surface is unconditionally equal + +230 +00:15:10,150 --> 00:15:13,110 +to one and a half Where is the image? Of course, + +231 +00:15:13,290 --> 00:15:16,850 +to solve this problem, a body with a width of + +232 +00:15:16,850 --> 00:15:19,410 +fifty centimeters in front of it means in front of + +233 +00:15:19,410 --> 00:15:22,430 +it on the left because we start from the left in + +234 +00:15:22,430 --> 00:15:25,550 +front of a single refracting surface, the + +235 +00:15:25,550 --> 00:15:28,630 +refractive index is one and a half Where does the + +236 +00:15:28,630 --> 00:15:31,690 +image fall? Light diverging from object has + +237 +00:15:31,690 --> 00:15:33,850 +negative versions, meaning it will give it a + +238 +00:15:33,850 --> 00:15:36,620 +negative signWhen the light reaches the lens or + +239 +00:15:36,620 --> 00:15:39,840 +refracting surface, it has reduced vergence of + +240 +00:15:39,840 --> 00:15:42,680 +negative two diopters. How do we know negative two + +241 +00:15:42,680 --> 00:15:46,040 +diopters? We say negative N over O is the reduced + +242 +00:15:46,040 --> 00:15:51,300 +vergence. Negative N over O is + +243 +00:15:51,300 --> 00:15:54,700 +the reduced vergence of the object after crossing + +244 +00:15:54,700 --> 00:15:57,040 +the distance O. The distance is fifty centimeters, + +245 +00:15:57,180 --> 00:16:00,200 +half a meter. So negative one over half a meter + +246 +00:16:06,140 --> 00:16:11,960 +refractive index one minus two diopters minus two + +247 +00:16:11,960 --> 00:16:17,180 +diopters minus two diopters minus two diopters + +248 +00:16:17,180 --> 00:16:21,240 +minus two diopters minus two diopters minus two + +249 +00:16:21,240 --> 00:16:21,740 +minus two diopters minus two diopters minus two + +250 +00:16:21,740 --> 00:16:21,760 +diopters minus two diopters minus two diopters + +251 +00:16:21,760 --> 00:16:21,920 +minus two diopters minus two diopters minus two + +252 +00:16:21,920 --> 00:16:21,980 +minus two diopters minus two diopters minus two + +253 +00:16:21,980 --> 00:16:22,420 +diopters minus two diopters minus two diopters + +254 +00:16:22,420 --> 00:16:24,020 +diopters minus two diopters minus two diop + +255 +00:16:48,560 --> 00:16:52,320 +If we want to write it, we say as follows + +256 +00:17:05,910 --> 00:17:15,130 +الـ U تساوي ناقص Hanna على O و + +257 +00:17:15,130 --> 00:17:30,330 +يساوي ناقص واحد على نص متر و + +258 +00:17:30,330 --> 00:17:38,340 +يساوي ناقص اتنين ديابترإذن ال U اللي هي ناقص N على + +259 +00:17:38,340 --> 00:17:47,640 +U يساوي ناقص اتنين ديوبتر طيب أنا عندي U زائد P + +260 +00:17:47,640 --> 00:17:59,000 +تساوي V طيب U ناقص اتنين ديوبتر زائد P ليه خمسة + +261 +00:17:59,000 --> 00:18:03,380 +ديوبتر يساوي + +262 +00:18:03,380 --> 00:18:19,870 +Vيساوي V إذا V تساوي plus 3 ده يكتر طيب إذا أن شرط + +263 +00:18:19,870 --> 00:18:24,350 +على I أن + +264 +00:18:24,350 --> 00:18:25,350 +شرط على I + +265 +00:18:33,010 --> 00:18:41,030 +uncertainty over I is equal to three plus three + +266 +00:18:41,030 --> 00:18:47,450 +diopters I want I uncertainty over I is equal to + +267 +00:18:47,450 --> 00:18:56,490 +three diopters uncertainty is one and a half over + +268 +00:18:56,490 --> 00:19:08,710 +I is equal toplus three diopters okay I want I, so + +269 +00:19:08,710 --> 00:19:14,830 +I equals one + +270 +00:19:14,830 --> 00:19:24,850 +and a half over plus three diopters the three + +271 +00:19:24,850 --> 00:19:28,830 +diopters are known as three meters minus one which + +272 +00:19:28,830 --> 00:19:33,490 +equalswhen we say one and a half times three which + +273 +00:19:33,490 --> 00:19:36,690 +is plus times plus which is plus one and a half + +274 +00:19:36,690 --> 00:19:40,390 +times three which is plus half and one meter minus + +275 +00:19:40,390 --> 00:19:44,870 +one meter this is the answer this is the answer + +276 +00:19:44,870 --> 00:19:48,970 +which is half a meter inside the glass give us + +277 +00:19:48,970 --> 00:19:51,650 +another color this is the answer so the image is + +278 +00:19:51,650 --> 00:19:55,650 +half a meter inside the glass inside the glass + +279 +00:19:55,650 --> 00:19:59,260 +dividing the reduced versions by the indexof + +280 +00:19:59,260 --> 00:20:02,140 +refraction of the glass gives a divergence of plus + +281 +00:20:02,140 --> 00:20:05,980 +2 diopter so the image is 50 cm behind the + +282 +00:20:05,980 --> 00:20:08,820 +refracting surface behind the refracting surface + +283 +00:20:08,820 --> 00:20:12,580 +يعني خلف ال refracting surface هنا أمام الشمال + +284 +00:20:12,580 --> 00:20:16,900 +لأنه بنبدأ من الشمال و هنا خلف طبعا ممكن إنسان + +285 +00:20:16,900 --> 00:20:21,960 +يعني يحل المسائل زي هيك و يلاقي أنه في عنده خطأ + +286 +00:20:21,960 --> 00:20:26,430 +أكتر خطأ بيصادف the most commonmistake in working + +287 +00:20:26,430 --> 00:20:30,070 +with versions calculations is ignoring the + +288 +00:20:30,070 --> 00:20:34,790 +negative sign of the divergent light divergent + +289 +00:20:34,790 --> 00:20:38,890 +light ضروري جدا أحطله negative sign اللي جاي من ال + +290 +00:20:38,890 --> 00:20:42,290 +object divergent بده ياخد إشارة sign لو احنا حطينا + +291 +00:20:42,290 --> 00:20:47,170 +plus يعني نسينا و حطينا plus هيكون عندي أنا في + +292 +00:20:47,170 --> 00:20:51,530 +إشكالية في الحل و هيكون عندي الحل طبعا خطأone way + +293 +00:20:51,530 --> 00:20:54,790 +to avoid this mistake كيف أتجنب الخطأ إن ما أنساش + +294 +00:20:54,790 --> 00:20:58,570 +is to deal with the signs first rather than with + +295 +00:20:58,570 --> 00:21:02,090 +the numbers قبل ما أبدأ في حل الأرقام لازم أسأل + +296 +00:21:02,090 --> 00:21:06,890 +نفسي اتضوء divergent ولا convergent إذا divergent + +297 +00:21:06,890 --> 00:21:11,070 +لازم أبدأ بأن أحط إشارة minus إذا نسينا الإشارة + +298 +00:21:11,070 --> 00:21:14,630 +معناته الحل هيجي غلط for example to solve the + +299 +00:21:14,630 --> 00:21:17,190 +previous problem many people would begin by + +300 +00:21:17,190 --> 00:21:20,600 +converting distance to dioptersthat is the object + +301 +00:21:20,600 --> 00:21:23,000 +is fifty centimeters from the lens, so the + +302 +00:21:23,000 --> 00:21:26,120 +divergence is two diopters, and this is wrong, of + +303 +00:21:26,120 --> 00:21:28,800 +course, divergence is minus two diopters, because + +304 +00:21:28,800 --> 00:21:31,540 +the object is in front, but as long as the light + +305 +00:21:31,540 --> 00:21:35,900 +comes out of it, divergence, in a fluctuating + +306 +00:21:35,900 --> 00:21:39,480 +state, in a divergent state, then we must say that + +307 +00:21:39,480 --> 00:21:45,400 +minus two diopters.بعد ما نحط الإشارات after this + +308 +00:21:45,400 --> 00:21:48,340 +conversion has been performed it is easy to forget + +309 +00:21:48,340 --> 00:21:51,480 +about the minus sign it is better to deal with the + +310 +00:21:51,480 --> 00:21:54,420 +sign first ما هو الواحد إذا بدأ في الأرقام هينسى + +311 +00:21:54,420 --> 00:21:58,140 +الإشارة فبالتالي نبدأ في الإشارة لما بنطلع الضوء + +312 +00:21:58,140 --> 00:22:02,160 +divergent معناته minus convergent معناته plus ببدأ + +313 +00:22:02,160 --> 00:22:05,300 +بالإشارات في الأول و بعد هيك بستعمل الأرقام in + +314 +00:22:05,300 --> 00:22:08,260 +this problem begin by noting that light diverges + +315 +00:22:08,260 --> 00:22:12,100 +from the object and has negative valuethen write + +316 +00:22:12,100 --> 00:22:14,720 +down the negative sign and convert distance to + +317 +00:22:14,720 --> 00:22:22,720 +divergence always write + +318 +00:22:22,720 --> 00:22:25,940 +the sign in front of the divergence even when the + +319 +00:22:25,940 --> 00:22:26,840 +sign is positive + +320 +00:22:38,320 --> 00:22:42,420 +Divergent is minus and convergent is plus + +321 +00:22:45,080 --> 00:22:48,340 +it becomes difficult to forget the sign if you + +322 +00:22:48,340 --> 00:22:50,980 +encounter difficulties with vergence calculations + +323 +00:22:50,980 --> 00:22:55,220 +check the sign first, the problem is most likely a + +324 +00:22:55,220 --> 00:22:58,280 +dropped minus sign when a person solves problems + +325 +00:22:58,280 --> 00:23:03,220 +using vergence calculations it means that if he + +326 +00:23:03,220 --> 00:23:06,080 +finds a mistake, the first thing he does is review + +327 +00:23:06,080 --> 00:23:08,420 +the signs he reviews the signs, he will find that + +328 +00:23:08,420 --> 00:23:12,780 +he mostly forgot the minus sign somewhere in the + +329 +00:23:12,780 --> 00:23:16,520 +problem we stop at this pointويعطيكم العافية + +330 +00:23:16,520 --> 00:23:18,880 +والسلام عليكم ورحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tJlr7MWHxxE.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tJlr7MWHxxE.srt new file mode 100644 index 0000000000000000000000000000000000000000..0e990d4a513a4705a2ecaf19b91454ecc791698f --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tJlr7MWHxxE.srt @@ -0,0 +1,407 @@ +1 +00:00:01,600 --> 00:00:19,940 +بسم الله الرحمن الرحيم بسم + +2 +00:00:19,940 --> 00:00:24,960 +الله الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +3 +00:00:24,960 --> 00:00:26,700 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +4 +00:00:26,700 --> 00:00:27,460 +الرحمن الرحيم بسم الله الرحمن الرحيم بسم الله + +5 +00:00:27,460 --> 00:00:27,820 +الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah + +6 +00:00:27,820 --> 00:00:28,220 +الرحمن الرحيم بسم Allah الرحمن الرحيم بسم Allah + +7 +00:00:28,220 --> 00:00:30,640 +الرحمن الرحمن الرحيم بسم Allah الرحمن الرحمن + +8 +00:00:30,640 --> 00:00:33,960 +الرحمن الرحمن الرحيم بسم Allah الرحتساوي ناقص N + +9 +00:00:33,960 --> 00:00:43,160 +على O هو يساوي ناقص + +10 +00:00:43,160 --> 00:00:47,180 +واحد لإنه + +11 +00:00:47,180 --> 00:00:51,180 +الهواء طبعا ناقص لإنه divergent على O خمسة وعشرين + +12 +00:00:51,180 --> 00:00:53,880 +سانتيا يعني ربع متر + +13 +00:01:09,120 --> 00:01:18,940 +ويساوي ربع متر طبعا ويساوي ناقص أربع ديوبتر إذا ال + +14 +00:01:18,940 --> 00:01:23,400 +reduced versions عند سطح ال image reduced object + +15 +00:01:23,400 --> 00:01:27,480 +versions يساوي ناقص أربع ديوبتر + +16 +00:01:37,600 --> 00:01:40,340 +-4 Diopter, we write it at the surface of the front + +17 +00:01:40,340 --> 00:01:43,580 +image + +18 +00:01:43,580 --> 00:01:53,510 +of the lens and as if we say that the light will + +19 +00:01:53,510 --> 00:01:56,110 +reach the front surface of the lens with a + +20 +00:01:56,110 --> 00:01:59,610 +magnitude of 4 diopters that is, it has a + +21 +00:01:59,610 --> 00:02:01,650 +magnitude of 4 diopters and we said that the + +22 +00:02:01,650 --> 00:02:04,090 +function of the plus lens is to change the + +23 +00:02:04,090 --> 00:02:08,310 +magnitude of the light that reaches it the light + +24 +00:02:08,310 --> 00:02:11,150 +will reach a magnitude of minus 4 diopters that + +25 +00:02:11,150 --> 00:02:15,100 +will destroy the front surface 4 is more than the + +26 +00:02:15,100 --> 00:02:18,000 +power of the lens, so it's plus 4 to cancel out + +27 +00:02:18,000 --> 00:02:21,040 +the minus 4 that the light reaches in this + +28 +00:02:21,040 --> 00:02:23,640 +fluctuating case and it will remain from the power + +29 +00:02:23,640 --> 00:02:26,940 +of the lens if you consume 4, it will remain 2, 2 + +30 +00:02:26,940 --> 00:02:29,760 +are the V or reduced image variance, that is, what + +31 +00:02:29,760 --> 00:02:38,020 +is left to form the image, we say U plus P equals + +32 +00:02:38,020 --> 00:02:39,080 +V + +33 +00:02:41,240 --> 00:02:50,500 +U which is minus 4 diopter plus 6 diopter equals V + +34 +00:02:50,500 --> 00:03:01,920 +so V equals plus 2 diopter plus 2 diopter quickly + +35 +00:03:01,920 --> 00:03:06,820 +I write that on the back face of the image we + +36 +00:03:06,820 --> 00:03:09,700 +write plus 2 diopter + +37 +00:03:13,990 --> 00:03:16,830 +And it's like I'm saying that the light reached + +38 +00:03:16,830 --> 00:03:20,210 +with four wavelengths, and the lens dealt with it, + +39 +00:03:20,550 --> 00:03:23,570 +and came out of the lens, not with wavelengths, + +40 +00:03:23,730 --> 00:03:25,450 +but with accumulation, that is, the accumulation + +41 +00:03:25,450 --> 00:03:28,710 +state is positive, positive, that is, it began to + +42 +00:03:28,710 --> 00:03:33,650 +accumulate, and the accumulation state is plus + +43 +00:03:33,650 --> 00:03:35,390 +two, this is positive, and the accumulation state + +44 +00:03:35,390 --> 00:03:37,830 +is two, this is positive, meaning that there is a + +45 +00:03:37,830 --> 00:03:39,330 +way for it to form an image + +46 +00:03:44,080 --> 00:03:54,460 +V is equal to I and this + +47 +00:03:54,460 --> 00:03:59,380 +results from I is + +48 +00:03:59,380 --> 00:04:05,620 +equal to V and + +49 +00:04:05,620 --> 00:04:11,580 +this results from I is equal to V which is plus + +50 +00:04:11,580 --> 00:04:12,120 +two + +51 +00:04:15,420 --> 00:04:20,280 +and it equals plus to plus and it remains plus one + +52 +00:04:20,280 --> 00:04:25,280 +over two and a half the diopter which is one meter + +53 +00:04:25,280 --> 00:04:27,860 +minus one in the position when it goes up it + +54 +00:04:27,860 --> 00:04:32,020 +becomes a meter plus half a meter so the image at + +55 +00:04:32,020 --> 00:04:35,280 +a distance plus half a meter here plus means that + +56 +00:04:35,280 --> 00:04:39,160 +the image comes to the right of the lens by half a + +57 +00:04:39,160 --> 00:04:41,460 +meter to the right on the right side of the lens + +58 +00:04:41,460 --> 00:04:44,900 +by half a meter now we draw from the image and give + +59 +00:04:44,900 --> 00:04:54,800 +it a specific color let's give + +60 +00:04:54,800 --> 00:04:56,940 +it another color other than the object's color + +61 +00:04:56,940 --> 00:04:59,060 +make it a clear color + +62 +00:05:11,220 --> 00:05:15,160 +This picture is very clear now Notice that the + +63 +00:05:15,160 --> 00:05:17,600 +distance is half a meter to the right of the lens, + +64 +00:05:17,780 --> 00:05:21,020 +which is fifty centimeters Fifty centimeters to + +65 +00:05:21,020 --> 00:05:27,480 +the right of the lens Fifty + +66 +00:05:27,480 --> 00:05:32,980 +centimeters And you will know why I drew the image + +67 +00:05:32,980 --> 00:05:36,000 +with this length or this height When we bring to + +68 +00:05:36,000 --> 00:05:39,900 +transfers magnification Transfers Magnification + +69 +00:05:39,900 --> 00:06:03,220 +Transfers Magnification Transfers + +70 +00:06:03,220 --> 00:06:05,660 +Magnification Transfers Magnification Transfers + +71 +00:06:05,660 --> 00:06:05,960 +Magnification Transfers Magnification Transfers + +72 +00:06:05,960 --> 00:06:06,360 +Magnification Transfers Magnification Transfers + +73 +00:06:06,360 --> 00:06:06,380 +Magnification Transfers Magnification Transfers + +74 +00:06:06,380 --> 00:06:06,460 +Magnification Transfers Magnification Transfers + +75 +00:06:06,460 --> 00:06:09,640 +MagnFor transference magnification, I can answer + +76 +00:06:09,640 --> 00:06:17,860 +it in two ways The first way is U over V And the + +77 +00:06:17,860 --> 00:06:20,700 +second way is image distance over object distance + +78 +00:06:20,700 --> 00:06:29,620 +U over V is minus 4 diopter minus 4 diopter over + +79 +00:06:29,620 --> 00:06:31,700 +plus 2 diopter + +80 +00:06:34,990 --> 00:06:37,970 +and it's equal to x, of course because the + +81 +00:06:37,970 --> 00:06:39,770 +magnification is minus on plus minus, which means + +82 +00:06:39,770 --> 00:06:41,190 +that the picture is upside down as the drawing + +83 +00:06:41,190 --> 00:06:45,990 +shows 4 divided by 2 is equal to 2 and the diopter + +84 +00:06:45,990 --> 00:06:50,770 +with the diopter goes away, so I have + +85 +00:06:50,770 --> 00:06:54,650 +the transphase magnification turned out to be x + +86 +00:06:54,650 --> 00:06:57,730 +minus 2 magnification twice + +87 +00:07:14,880 --> 00:07:17,560 +ImageDistance on ObjectDistance + +88 +00:07:26,120 --> 00:07:31,120 +It is equal to the image distance plus half a + +89 +00:07:31,120 --> 00:07:35,440 +meter or fifty + +90 +00:07:35,440 --> 00:07:37,600 +centimeters plus half a meter, it is better to use + +91 +00:07:37,600 --> 00:07:40,760 +the meter in measurements over minus because the + +92 +00:07:40,760 --> 00:07:43,220 +object is on the left, the object is on the left, + +93 +00:07:44,040 --> 00:07:45,760 +so minus a quarter of a meter + +94 +00:07:53,030 --> 00:07:57,590 +transfer magnification is equal to plus over minus + +95 +00:07:57,590 --> 00:07:59,730 +x minus + +96 +00:08:01,980 --> 00:08:04,500 +Plus on minus will give me minus, and half on + +97 +00:08:04,500 --> 00:08:07,880 +quarter will give me two, and meter on meter will + +98 +00:08:07,880 --> 00:08:11,520 +go away, so my transfer magnification will also be + +99 +00:08:11,520 --> 00:08:13,740 +x minus two, meaning the picture is upside down + +100 +00:08:13,740 --> 00:08:18,000 +and twice Whether you use u on v or image distance + +101 +00:08:18,000 --> 00:08:22,720 +on object distance, the result will be the same + +102 +00:08:22,720 --> 00:08:25,260 +and give you health and peace be upon you diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tjy91txnzzs_raw.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tjy91txnzzs_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..93323a3ddbef4adbe212cc9951b9379c8ce6045e --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/tjy91txnzzs_raw.srt @@ -0,0 +1,1784 @@ +1 +00:00:01,750 --> 00:00:04,910 +بسم الله الرحمن الرحيم، بنواصل محاضرات لـ + +2 +00:00:04,910 --> 00:00:08,530 +Geometric Optics، وحكينا المرة الماضية عن Le + +3 +00:00:08,530 --> 00:00:12,030 +Brentis Rule، اللي هي الـ Prismatic Effect of + +4 +00:00:12,030 --> 00:00:17,130 +Lenses، وقولنا عشان نعرف جداش قوة المنشور عند أي + +5 +00:00:17,130 --> 00:00:21,270 +نقطة من نقاط العدسة، القوة المنشورية لهذه النقطة، + +6 +00:00:21,270 --> 00:00:25,460 +بنقول الـ Prismatic Effect عند هذه النقطة،is equal + +7 +00:00:25,460 --> 00:00:27,400 +to H in D, which is the distance from the point, + +8 +00:00:27,700 --> 00:00:30,600 +which is the optical center, in the diopter, which + +9 +00:00:30,600 --> 00:00:33,620 +is the power of the lens. Then we know that at + +10 +00:00:33,620 --> 00:00:37,100 +this point, C, middle, or eye, how much the lens + +11 +00:00:37,100 --> 00:00:39,780 +works as a measure of its power, or how much its + +12 +00:00:39,780 --> 00:00:44,440 +deviating power.This issue can benefit from it + +13 +00:00:44,440 --> 00:00:52,120 +practically and it can also avoid some problems + +14 +00:00:52,120 --> 00:00:55,200 +that may occur as a result of the difference in + +15 +00:00:55,200 --> 00:00:58,080 +the power of the lenses. For example, the + +16 +00:00:58,080 --> 00:01:01,760 +charismatic effect of lenses becomes clinically + +17 +00:01:01,760 --> 00:01:06,660 +important in a patient with anisometropia when the + +18 +00:01:06,660 --> 00:01:09,540 +distance correction is different for the two eyes. + +19 +00:01:10,030 --> 00:01:12,710 +To give an example of that, we say that a person + +20 +00:01:12,710 --> 00:01:20,050 +has anisometropia We suppose that the right eye + +21 +00:01:20,050 --> 00:01:23,330 +has + +22 +00:01:23,330 --> 00:01:34,310 +plus eight diopters, for example And + +23 +00:01:34,310 --> 00:01:40,920 +the left eye has plus two dioptersAnisometropia is + +24 +00:01:40,920 --> 00:01:46,180 +the difference between the refractive error in two + +25 +00:01:46,180 --> 00:01:51,840 +eyesOr this patient has plus eight diopters in his + +26 +00:01:51,840 --> 00:01:56,260 +right eye and plus two diopters in his left eye + +27 +00:01:56,260 --> 00:02:01,300 +And this condition is called anisometropia When I + +28 +00:02:01,300 --> 00:02:04,240 +give him a correction, he looks at the distance, + +29 +00:02:04,340 --> 00:02:06,940 +this is the distance correction This is a lens for + +30 +00:02:06,940 --> 00:02:10,420 +the distance He looks here from the optical center + +31 +00:02:10,910 --> 00:02:14,590 +It also shows from the optical center to a distant + +32 +00:02:14,590 --> 00:02:17,810 +target, a distance of 6 meters or 10 meters or + +33 +00:02:17,810 --> 00:02:21,170 +something like that When it shows from the optical + +34 +00:02:21,170 --> 00:02:24,130 +center to the right lens and the optical center to + +35 +00:02:24,130 --> 00:02:28,150 +the left lens We know that the optical center, the + +36 +00:02:28,150 --> 00:02:31,750 +prismatic effect has zero So there is no prismatic + +37 +00:02:31,750 --> 00:02:34,750 +effect, we said that the lens works at all points + +38 +00:02:35,840 --> 00:02:39,660 +في كل نقاطها بشكل أو إلها prismatic effect + +39 +00:02:39,660 --> 00:02:43,920 +بالإضافة لكونها عدسة بس في ال optical center فش + +40 +00:02:43,920 --> 00:02:47,960 +prismatic effect، فش prismatic effect، okay الان + +41 +00:02:47,960 --> 00:02:53,810 +المشكلة مش هنا، المشكلة لما بده يعمل near workhe + +42 +00:02:53,810 --> 00:02:56,090 +wants to read, he wants to look at his phone, he + +43 +00:02:56,090 --> 00:03:01,330 +wants to read Qur'an, he wants to do anything or + +44 +00:03:01,330 --> 00:03:05,150 +any activity near, usually the eyes in the near + +45 +00:03:05,150 --> 00:03:08,570 +work down or down, usually the level of the phone + +46 +00:03:08,570 --> 00:03:12,330 +or ..the mobile or the level of the book or the + +47 +00:03:12,330 --> 00:03:15,170 +notebook in which it is written, everything is + +48 +00:03:15,170 --> 00:03:18,450 +below the eyes, so the two eyes are forced to go + +49 +00:03:18,450 --> 00:03:26,480 +down to read or watch the mobile or whateverWhen + +50 +00:03:26,480 --> 00:03:30,080 +they go down to the bottom, like the view shown + +51 +00:03:30,080 --> 00:03:35,000 +here or the view shown at the bottom, they get out + +52 +00:03:35,000 --> 00:03:37,860 +of parts, not from the center, not from the + +53 +00:03:37,860 --> 00:03:41,510 +optical center of the lensnot from the optical + +54 +00:03:41,510 --> 00:03:45,750 +center talents. Here I took a wide shot or a head + +55 +00:03:45,750 --> 00:03:48,710 +shot, pardon me, in both eyes. The plus lens, the + +56 +00:03:48,710 --> 00:03:52,450 +head shot in it, is lower than half, of course, + +57 +00:03:52,690 --> 00:03:55,990 +bent or thick in front and behind, but here I + +58 +00:03:55,990 --> 00:03:58,570 +don't have the three-dimensionality that we draw. + +59 +00:04:00,330 --> 00:04:01,470 +So, if we .. + +60 +00:04:08,110 --> 00:04:12,790 +لا مافيش إمكانية طبعا بالنسبالي على الأقل، إذا هذا + +61 +00:04:12,790 --> 00:04:16,090 +مقطع اللي باللون الأصفر مقطع رأسي في العدسة ال + +62 +00:04:16,090 --> 00:04:21,780 +plusوهدا مقطع رأسي في العدسة الـ plus لما العينتين + +63 +00:04:21,780 --> 00:04:25,040 +بنزلوا للأسفل عشان أتمام موضوع ال reading أو ال + +64 +00:04:25,040 --> 00:04:28,620 +near word أصبحت العين اليمين بتطلع من نقطة مش ال + +65 +00:04:28,620 --> 00:04:31,560 +optical center تعالي ال lens يعني من نقطة إلها + +66 +00:04:31,560 --> 00:04:35,220 +prismatic effect و هنا أيضا أصبحت العين الشمال + +67 +00:04:35,220 --> 00:04:39,440 +أيضا اللي أنا نزلت معاها بتطلع من نقطة إلها تأثير + +68 +00:04:39,440 --> 00:04:42,640 +منشوري أو prismatic effectHere's how much the + +69 +00:04:42,640 --> 00:04:44,760 +effect is printed and here's how much the effect + +70 +00:04:44,760 --> 00:04:48,800 +is printed In order to know, in order to know, we + +71 +00:04:48,800 --> 00:04:53,160 +have to calculate or use the Prentice Rule, which + +72 +00:04:53,160 --> 00:04:59,180 +tells me the prismatic effect on the right, H in D + +73 +00:05:13,060 --> 00:05:20,280 +equal to H in D of course and equal to of course + +74 +00:05:20,280 --> 00:05:24,140 +we imagine it's usually around the adult in the + +75 +00:05:24,140 --> 00:05:26,620 +reading position the eyes go down about eight + +76 +00:05:26,620 --> 00:05:28,780 +millimeters, that is, eight out of ten centimeters + +77 +00:05:28,780 --> 00:05:34,080 +H which is eight out of ten centimeters multiplied + +78 +00:05:34,080 --> 00:05:37,700 +by D, the power that will tell us eight is greater + +79 +00:05:37,700 --> 00:05:41,420 +eight is greater and equal to + +80 +00:05:44,240 --> 00:05:51,200 +8x8x10 is 6 and 4x10 is the prism of the diopter + +81 +00:05:51,200 --> 00:05:55,800 +but it is necessary to say where + +82 +00:05:55,800 --> 00:06:00,680 +is the base, where is his base because the view + +83 +00:06:00,680 --> 00:06:03,040 +tells me that the base is up, so when the eye goes + +84 +00:06:03,040 --> 00:06:08,800 +downThe plus lens looks like it is made from a + +85 +00:06:08,800 --> 00:06:13,660 +part of the prism where the base is up So, base up + +86 +00:06:13,660 --> 00:06:19,060 +As long as the base is up, the apex is down, but + +87 +00:06:19,060 --> 00:06:22,840 +we deal with the base So, the printed effect when + +88 +00:06:22,840 --> 00:06:28,180 +the eye goes downWhen the eye goes down in the + +89 +00:06:28,180 --> 00:06:36,500 +plus lens, the force is 8 diopters As if + +90 +00:06:36,500 --> 00:06:39,840 +the subject in front of the eye is printed 6 and 4 + +91 +00:06:39,840 --> 00:06:42,360 +out of 10 prism diopters Let's calculate on the + +92 +00:06:42,360 --> 00:06:47,440 +other side how much the effect is printed Let's + +93 +00:06:47,440 --> 00:06:55,300 +say the prismatic effect is equal to H in DIt is + +94 +00:06:55,300 --> 00:06:59,820 +equal to H 8 milli which is 8 out of 10 + +95 +00:06:59,820 --> 00:07:03,580 +centimeters which is equal to the same degree In D + +96 +00:07:03,580 --> 00:07:06,320 +here, it is the diopter of the lens that comes out + +97 +00:07:06,320 --> 00:07:13,260 +of it which is in two It + +98 +00:07:13,260 --> 00:07:19,040 +is equal to 1.6 Prism diopter + +99 +00:07:21,500 --> 00:07:31,680 +بس ضروري اقول ايش base up ولا base down طبعا + +100 +00:07:31,680 --> 00:07:40,020 +base up, base up حسب المنظر مابيقولي base up اذا + +101 +00:07:40,020 --> 00:07:40,500 +.. + +102 +00:07:43,620 --> 00:07:48,280 +It's like this eye looks up through the base of + +103 +00:07:48,280 --> 00:07:52,060 +the pen And this eye looks down through the base + +104 +00:07:52,060 --> 00:07:55,220 +of the pen But the problem is not here, the + +105 +00:07:55,220 --> 00:07:57,080 +problem is that the power of the two pens is + +106 +00:07:57,080 --> 00:07:59,560 +different It's known, and we took it in the + +107 +00:07:59,560 --> 00:08:02,620 +previous lecture, that when we look through a pen, + +108 +00:08:02,720 --> 00:08:06,320 +we see the picture below We see the picture below + +109 +00:08:06,320 --> 00:08:12,550 +in another meaningيعني هذه العين هتشوف الصورة على + +110 +00:08:12,550 --> 00:08:15,810 +أسفل بزيادة عن اللزوم وهذه هتشوف الصورة على أسفل + +111 +00:08:15,810 --> 00:08:19,310 +برضه بزيادة عن اللزوم عما هو عليه في حقيقة الأمر + +112 +00:08:19,310 --> 00:08:24,510 +لو الإنسان بتطلع على target نفرض ال mobile بتاعه + +113 +00:08:25,080 --> 00:08:28,680 +الصورة هنا هتنزل بمقدار ستة وأربع من عشرة prison + +114 +00:08:28,680 --> 00:08:32,720 +لأنها هتتجه باتجاه ال apex دائما ال prison بحرف + +115 +00:08:32,720 --> 00:08:36,460 +الصورة باتجاه ال apex وهذا أيضا هيحرف الصورة + +116 +00:08:36,460 --> 00:08:40,900 +باتجاه ال apex طيب السؤال هل هيتم توحيد الصورتين + +117 +00:08:40,900 --> 00:08:44,960 +الصورة اللي انطبعت على شبكية العين اليمين والصورة + +118 +00:08:44,960 --> 00:08:49,120 +اللي انطبعت على شبكية العين الشمال الآن خلينا نشوف + +119 +00:08:49,120 --> 00:08:57,070 +كالقادة بدنا احنا ناخد شريحة جديدةونحاول نفهم بعض + +120 +00:08:57,070 --> 00:09:06,690 +الأشياء ونحاول + +121 +00:09:06,690 --> 00:09:13,310 +نفهم بعض الأشياء هاي أنا عندي لعين + +122 +00:09:31,740 --> 00:09:37,120 +بناخد صورة جانبية ونقول إن العين نزلت بمقدار + +123 +00:09:37,120 --> 00:09:42,800 +تمانية مليل ونتخيل + +124 +00:09:42,800 --> 00:09:53,500 +أمام العين نتخيل + +125 +00:09:53,500 --> 00:09:54,880 +أمام العين في عنده + +126 +00:10:01,850 --> 00:10:04,170 +Yes, I mean at the bottom and imagine in front of + +127 +00:10:04,170 --> 00:10:10,590 +it that I have a label The base is up Its strength + +128 +00:10:10,590 --> 00:10:17,750 +is + +129 +00:10:17,750 --> 00:10:24,390 +6.4 times 10 Prism Diode Its + +130 +00:10:24,390 --> 00:10:26,970 +strength is 6.4 times 10 Prism Diode + +131 +00:10:53,600 --> 00:10:58,220 +So this prism has a force of 4.6 Prism diopter We + +132 +00:10:58,220 --> 00:11:01,940 +need a target + +133 +00:11:01,940 --> 00:11:08,720 +This + +134 +00:11:08,720 --> 00:11:10,640 +is the mobile or this is what represents the + +135 +00:11:10,640 --> 00:11:14,640 +mobile In the down gaze + +136 +00:11:23,360 --> 00:11:28,260 +الاشعع أو صورة ال mobile أو مجسم ال mobile اللي + +137 +00:11:28,260 --> 00:11:34,000 +رمزناله بالسهم، هيسقط عليه ضوء الغرفة، ينعكس + +138 +00:11:34,000 --> 00:11:42,160 +باتجاهي ال Prism هيروح حرفه باتجاه ال base بتاعته، + +139 +00:11:42,160 --> 00:11:48,100 +باتجاه ال base بتاعته، و ال base لأعلى، ال base + +140 +00:11:48,100 --> 00:11:48,580 +لأعلى + +141 +00:12:09,500 --> 00:12:12,900 +He will see .. this eye will see .. which is the + +142 +00:12:12,900 --> 00:12:15,420 +right eye The one in front of it is marked with 6 + +143 +00:12:15,420 --> 00:12:18,840 +and 4 out of 10 diopters You will see the .. the + +144 +00:12:18,840 --> 00:12:21,440 +.. the picture of the mobile down extending the + +145 +00:12:21,440 --> 00:12:24,760 +rays or the rays that reached it Therefore, this + +146 +00:12:24,760 --> 00:12:30,920 +case should be clear on its extension That is, you + +147 +00:12:30,920 --> 00:12:34,540 +will see it down towards the apex of the libris .. + +148 +00:12:34,540 --> 00:12:36,200 +towards the apex of the libris + +149 +00:12:55,080 --> 00:13:00,300 +فهيبين ال mobile في النقطة هاي نازل + +150 +00:13:32,510 --> 00:13:34,790 +So instead of seeing it here, we will see it below + +151 +00:13:34,790 --> 00:13:37,990 +because we are looking from the lower part of the + +152 +00:13:37,990 --> 00:13:41,450 +lens And the lower part of the lens, the point + +153 +00:13:41,450 --> 00:13:43,590 +that we are looking from it, acts as a pointer, + +154 +00:13:43,770 --> 00:13:46,950 +the base is up and its force is four out of ten + +155 +00:13:46,950 --> 00:13:51,150 +diodes Okay, now in the second eye, it's the same + +156 +00:13:51,150 --> 00:13:54,270 +thing, but to a lesser extent, that is, compared + +157 +00:13:54,270 --> 00:13:57,910 +to the right eye, it will show down with a certain + +158 +00:13:57,910 --> 00:14:00,950 +amount, the left eyeit will look like it came down + +159 +00:14:00,950 --> 00:14:03,810 +with less quantity. Ok, how much is the difference + +160 +00:14:03,810 --> 00:14:06,870 +between the two? If we say how much the difference + +161 +00:14:06,870 --> 00:14:08,710 +is between the two, we want to show the amount, + +162 +00:14:08,910 --> 00:14:12,330 +that is, six and four out of ten based up The + +163 +00:14:12,330 --> 00:14:14,070 +picture came down to the amount of six and four + +164 +00:14:14,070 --> 00:14:16,050 +out of ten and moved towards the apex, and here + +165 +00:14:16,050 --> 00:14:19,030 +the picture moved towards the apex. Let's assume, + +166 +00:14:19,630 --> 00:14:22,050 +that is, an example to approximate the concept. I + +167 +00:14:22,050 --> 00:14:26,170 +was standing, me and my colleague, on a step which + +168 +00:14:26,170 --> 00:14:31,230 +is one of the university buildingsزميلي نزل درجتين + +169 +00:14:31,230 --> 00:14:37,270 +وكنا واقفين على نفس الدرجة وزميلي نزل درجتين وانا + +170 +00:14:37,270 --> 00:14:41,010 +نزلت ست درجات، جديش الفرق بيننا، بدنا نطرح، هو نزل + +171 +00:14:41,010 --> 00:14:45,470 +درجتين وانا نزلت أربع درجات أو ست درجات، بيصير + +172 +00:14:45,470 --> 00:14:52,030 +الفرق بيننا أربع درجات، أربعdegrees because when I + +173 +00:14:52,030 --> 00:14:54,310 +went down 6, the difference between us became 6 + +174 +00:14:54,310 --> 00:14:56,270 +and when I went down 2, the difference between us + +175 +00:14:56,270 --> 00:15:00,670 +became 4 here the picture moved down by 6.4 times + +176 +00:15:00,670 --> 00:15:03,150 +the Prism of Diopter why did it move down? because + +177 +00:15:03,150 --> 00:15:06,910 +the Prism moves the picture towards its apex as + +178 +00:15:06,910 --> 00:15:11,190 +the drawing here shows the Prism moves the picture + +179 +00:15:11,190 --> 00:15:13,490 +towards its apex as we learned in the previous + +180 +00:15:13,490 --> 00:15:16,870 +lectureIt means that it goes down compared to the + +181 +00:15:16,870 --> 00:15:19,190 +right eye. And the left eye is the same thing, it + +182 +00:15:19,190 --> 00:15:22,530 +goes down but to a lower degree. The difference + +183 +00:15:22,530 --> 00:15:26,220 +remains in the location of the two empty photos.هو + +184 +00:15:26,220 --> 00:15:31,920 +نتيجة الفرق بين 6 و 4 من 10 ناقص 1 و 6 من 10 لو + +185 +00:15:31,920 --> 00:15:40,020 +قلنا 6 و 4 من 10 ناقص 1 بصير 5 و 4 من 10 ناقص 6 من + +186 +00:15:40,020 --> 00:15:49,120 +10 بصير عندي 4 و 8 من 10 ابريزي 4 الفرق 4 point 8 + +187 +00:15:49,120 --> 00:15:50,760 +من 10 ابريزي + +188 +00:16:03,360 --> 00:16:08,500 +It's like if we assume that the picture of the + +189 +00:16:08,500 --> 00:16:10,460 +left eye didn't go down to the bottom, it's fixed, + +190 +00:16:10,660 --> 00:16:15,020 +it's considered to have gone down by 4.8 out of + +191 +00:16:15,020 --> 00:16:18,340 +10. If we assume that my colleague is fixed in the + +192 +00:16:18,340 --> 00:16:23,580 +degree that he was standing on, and I went down 4 + +193 +00:16:23,580 --> 00:16:27,310 +degrees, orthe fact of the matter is that he went + +194 +00:16:27,310 --> 00:16:29,790 +down 2 steps and I went down 6 steps whether I say + +195 +00:16:29,790 --> 00:16:31,570 +that the difference between us is 4 degrees and he + +196 +00:16:31,570 --> 00:16:35,770 +is stable and I went down 4 steps or I say that he + +197 +00:16:35,770 --> 00:16:38,850 +went down 2 steps and I went down 6 steps the + +198 +00:16:38,850 --> 00:16:40,950 +result is the same the result is that the + +199 +00:16:40,950 --> 00:16:44,270 +difference between us is 4 degrees so this picture + +200 +00:16:44,270 --> 00:16:48,310 +went down correctly it moved towards the apex with + +201 +00:16:48,310 --> 00:16:52,900 +a magnitude of 1.6 Prismوهادي الصورة نزلت بمقدار + +202 +00:16:52,900 --> 00:16:56,280 +ستة وأربعة من عشرة Prism ونقدر نقول إن الصورة هي + +203 +00:16:56,280 --> 00:17:00,280 +ثابتة كإنها ما نزلتش وهادي نزلت بمقدار الفرق اللي + +204 +00:17:00,280 --> 00:17:04,640 +هو أربعة و تمانية من عشرة Prism ده يقدر يا ترى + +205 +00:17:04,640 --> 00:17:08,780 +لحتى الآن ما تحدثنا عن المشكلة من هذا ما المشكلة + +206 +00:17:08,780 --> 00:17:12,490 +من إن الصورة تنزل بالنسبة لصورةWhen a picture goes + +207 +00:17:12,490 --> 00:17:15,850 +down to another picture, the brain bears it to a + +208 +00:17:15,850 --> 00:17:18,030 +certain extent and then it becomes double in + +209 +00:17:18,030 --> 00:17:20,930 +vision It becomes vertical diplopia .. vertical + +210 +00:17:20,930 --> 00:17:24,790 +diplopia Of course, experiments and studies have + +211 +00:17:24,790 --> 00:17:27,930 +proven that the human brain bears from two to + +212 +00:17:27,930 --> 00:17:31,840 +three prisms That's why ..Describing a pair of + +213 +00:17:31,840 --> 00:17:33,780 +glasses with these powers doesn't work, because in + +214 +00:17:33,780 --> 00:17:37,160 +reading, or using anything close to it, it will + +215 +00:17:37,160 --> 00:17:41,620 +have vertical diplopia, vertical diplopia, so this + +216 +00:17:41,620 --> 00:17:45,480 +is a + +217 +00:17:45,480 --> 00:17:47,660 +case where I have to find another solution, other + +218 +00:17:47,660 --> 00:17:50,360 +than glasses, in case I have anisometropia, which + +219 +00:17:50,360 --> 00:17:53,420 +is a big difference So this prismatic effect, + +220 +00:17:53,540 --> 00:17:56,760 +resulting from correcting anisometropia with + +221 +00:17:56,760 --> 00:18:01,290 +glasses بالنضارة بالذات during reading أو during + +222 +00:18:01,290 --> 00:18:05,190 +near work لأما during distant work مش كتير الأمر + +223 +00:18:05,190 --> 00:18:07,610 +وإن كان في مشاكل أخرى بس من ناحية ال charismatic + +224 +00:18:07,610 --> 00:18:11,610 +effect لأنه هيكون بتطلع من ال center و هنا بتطلع + +225 +00:18:11,610 --> 00:18:16,310 +من ال center فضروري جدا توضح هذه القضية بالنسبة + +226 +00:18:16,310 --> 00:18:19,090 +إلنا بالنسبة إلنا ممكن إنسان يقول طب ما المشكلة + +227 +00:18:19,090 --> 00:18:23,120 +ممكن تصير في ال up gazeThat's right, the same + +228 +00:18:23,120 --> 00:18:25,320 +thing will happen with upgades, but we don't talk + +229 +00:18:25,320 --> 00:18:27,580 +much about upgades because the need of a person + +230 +00:18:27,580 --> 00:18:31,380 +for upgades ..less .. much less than the need for + +231 +00:18:31,380 --> 00:18:33,860 +the down gaze, there is no one who raises his hand + +232 +00:18:33,860 --> 00:18:36,220 +to the top and holds the mobile phone or he holds + +233 +00:18:36,220 --> 00:18:39,820 +the book or notebook and continues for a long time + +234 +00:18:39,820 --> 00:18:43,500 +while reading and his hand extends to the top with + +235 +00:18:43,500 --> 00:18:46,380 +the mobile phone and so on, but the down gaze, + +236 +00:18:46,900 --> 00:18:51,920 +that is, the near word in general needs the down + +237 +00:18:51,920 --> 00:18:54,020 +gaze, needs the down gaze + +238 +00:18:58,930 --> 00:19:03,110 +The prismatic effect of lenses becomes clinically + +239 +00:19:03,110 --> 00:19:07,170 +important in a patient with anisometropia when the + +240 +00:19:07,170 --> 00:19:09,970 +distance correction is different for the two eyes. + +241 +00:19:16,320 --> 00:19:19,440 +The patient usually notes these when in the + +242 +00:19:19,440 --> 00:19:22,580 +reading position, with the eyes in down gaze, the + +243 +00:19:22,580 --> 00:19:26,380 +prismatic effect of each lens differs and causes + +244 +00:19:26,380 --> 00:19:29,560 +different amount of image displacement in each + +245 +00:19:29,560 --> 00:19:29,900 +eye. + +246 +00:19:56,140 --> 00:20:00,820 +In each eye, this leads to vertical diplopia if + +247 +00:20:00,820 --> 00:20:03,840 +the image displacements are beyond the patient's + +248 +00:20:03,840 --> 00:20:04,720 +fusion ability. + +249 +00:20:08,320 --> 00:20:12,020 +there are words that can .. or there are words for + +250 +00:20:12,020 --> 00:20:14,760 +fusional ability, the ability to work in fusion + +251 +00:20:14,760 --> 00:20:17,900 +and merge two images into one picture the ability + +252 +00:20:17,900 --> 00:20:20,540 +of the brain sometimes there is no problem, I mean + +253 +00:20:20,540 --> 00:20:23,760 +if the difference between them is one prism, one + +254 +00:20:23,760 --> 00:20:26,800 +and a half, two prisms, up to three prisms, some + +255 +00:20:26,800 --> 00:20:29,160 +people can handle more than that, like what we + +256 +00:20:29,160 --> 00:20:32,820 +have here, four, eight, ten prisms, so sometimes + +257 +00:20:32,820 --> 00:20:36,060 +the situation is improbable and often they get + +258 +00:20:36,060 --> 00:20:41,130 +upsetvertical diplopia if the difference is + +259 +00:20:41,130 --> 00:20:43,570 +greater than the diffusion ability of the brain + +260 +00:20:46,520 --> 00:20:49,320 +This is a point that we should consider while + +261 +00:20:49,320 --> 00:20:52,440 +describing a glass to a person Usually, it is not + +262 +00:20:52,440 --> 00:20:54,740 +recommended that the difference should be more + +263 +00:20:54,740 --> 00:20:58,460 +than three diopters between the two eyes in the + +264 +00:20:58,460 --> 00:21:01,360 +correction or two and a half diopters A person + +265 +00:21:01,360 --> 00:21:04,640 +might say that if I gave this full correction plus + +266 +00:21:04,640 --> 00:21:07,540 +two and here I gave it up to plus five, it still + +267 +00:21:07,540 --> 00:21:13,720 +has plus threemaybe they need other means to avoid + +268 +00:21:13,720 --> 00:21:16,920 +this problem such as contact lenses and so on and + +269 +00:21:16,920 --> 00:21:23,080 +all of this is explained in different refraction + +270 +00:21:23,080 --> 00:21:28,300 +methods Okay, + +271 +00:21:28,760 --> 00:21:34,510 +prismatic effectmust be anticipated in the design + +272 +00:21:34,510 --> 00:21:38,110 +of bifocal lenses to minimize image displacement + +273 +00:21:38,110 --> 00:21:41,870 +and image jump image displacement and image jump + +274 +00:21:41,870 --> 00:21:48,850 +And this is really not an easy topic, but it needs + +275 +00:21:48,850 --> 00:21:52,990 +drawings to make us imagine + +276 +00:21:58,680 --> 00:22:02,540 +We start by saying that when we make bifocal + +277 +00:22:02,540 --> 00:22:06,920 +lenses Bifocal lenses, that is, a binary lens of + +278 +00:22:06,920 --> 00:22:10,440 +dimensions, distance to distance and distance to + +279 +00:22:10,440 --> 00:22:14,140 +near It can happen to me during the design of the + +280 +00:22:14,140 --> 00:22:18,720 +bifocal lens Some problems related to image + +281 +00:22:18,720 --> 00:22:23,540 +displacement and what produces image jump Image + +282 +00:22:23,540 --> 00:22:27,740 +jump, let's see how this issue happens with usBut + +283 +00:22:27,740 --> 00:22:30,700 +the first thing we see is the bifocal lenses, this + +284 +00:22:30,700 --> 00:22:33,380 +is the bifocal lens, this is the segment for the + +285 +00:22:33,380 --> 00:22:36,580 +distance and this is the piece for the near, this + +286 +00:22:36,580 --> 00:22:40,960 +is to look at the distant target and this is to + +287 +00:22:40,960 --> 00:22:46,860 +look at the near targetThis is a simulation, here + +288 +00:22:46,860 --> 00:22:48,900 +it is written on it distant target, this whole + +289 +00:22:48,900 --> 00:22:51,580 +piece is from the lens of the glasses to the + +290 +00:22:51,580 --> 00:22:53,920 +distance and this piece is usually a little bit + +291 +00:22:53,920 --> 00:23:02,680 +redder than near target Now I have two types of + +292 +00:23:02,680 --> 00:23:07,630 +bifocalHe brought their glasses to fix them in the + +293 +00:23:07,630 --> 00:23:11,750 +glasses and of course you will study this topic in + +294 +00:23:11,750 --> 00:23:13,590 +use in dispensing and refraction But here in + +295 +00:23:13,590 --> 00:23:17,110 +geometric optics we want to focus on some things + +296 +00:23:17,110 --> 00:23:21,750 +These are called round top bifocal round top + +297 +00:23:21,750 --> 00:23:28,290 +bifocal means bifocal glasses or bifocal lens here + +298 +00:23:28,290 --> 00:23:30,170 +for this piece in the distance and this is its + +299 +00:23:30,170 --> 00:23:33,790 +centerand here also there is a different focal + +300 +00:23:33,790 --> 00:23:38,550 +length and this is the center of the lens why we + +301 +00:23:38,550 --> 00:23:40,690 +call it round top bifocal? because the near + +302 +00:23:40,690 --> 00:23:44,430 +segment is the + +303 +00:23:44,430 --> 00:23:47,730 +highest part of it is a part of the round which + +304 +00:23:47,730 --> 00:23:51,890 +means it is a complete circular lens this is + +305 +00:23:51,890 --> 00:23:55,670 +called flat top bifocal which means here this lens + +306 +00:23:55,670 --> 00:24:00,800 +is projected from here and it is fixedبالشكل اللي + +307 +00:24:00,800 --> 00:24:04,440 +احنا شايفينه و هدى round top bifocal و هدى flat + +308 +00:24:04,440 --> 00:24:08,960 +top او flat top bifocal يعني الجزء الاعلى منها + +309 +00:24:08,960 --> 00:24:14,840 +flat اش الهدف من اني استعمل flat top و مااستعملش + +310 +00:24:14,840 --> 00:24:18,380 +مثلا ال round top اذا ملاحظين ال center تاع ال + +311 +00:24:18,380 --> 00:24:21,660 +distance segment و ال center تاع ال near segment + +312 +00:24:21,660 --> 00:24:26,380 +تبعد في ال round top bifocalAnd here in the flat + +313 +00:24:26,380 --> 00:24:29,900 +top bifocal, the center of the distance segment + +314 +00:24:29,900 --> 00:24:32,100 +and the center of the near segment is the center + +315 +00:24:32,100 --> 00:24:35,680 +of the lens An experiment in the flat top bifocal + +316 +00:24:35,680 --> 00:24:39,760 +This difference solves a very big problem Solves a + +317 +00:24:39,760 --> 00:24:43,820 +very big problem Let's see what will happen to him + +318 +00:24:43,820 --> 00:24:51,910 +This man wears bifocal lensesThe distance segment + +319 +00:24:51,910 --> 00:24:55,730 +we drew with red color And the near segment we + +320 +00:24:55,730 --> 00:24:59,710 +drew with blue color The near segment is called + +321 +00:24:59,710 --> 00:25:03,930 +add, why it is called add? Because when a person + +322 +00:25:03,930 --> 00:25:07,030 +draws through the near segment, he draws through + +323 +00:25:07,030 --> 00:25:09,910 +the near segment with distance correction, that + +324 +00:25:09,910 --> 00:25:13,990 +is, through a double lens Through a double lens + +325 +00:25:13,990 --> 00:25:18,430 +Okay, so we drew the distance segment with red + +326 +00:25:18,430 --> 00:25:23,340 +colorand the near segment we marked it with blue + +327 +00:25:23,340 --> 00:25:27,200 +color ok is this round top or flat top? this is + +328 +00:25:27,200 --> 00:25:29,760 +round top by focus that is, we came here and + +329 +00:25:29,760 --> 00:25:33,500 +marked it like this this is the center we marked + +330 +00:25:33,500 --> 00:25:37,500 +the lens vertically and showed it with colors this + +331 +00:25:37,500 --> 00:25:39,900 +is the center of the distance segment and this is + +332 +00:25:39,900 --> 00:25:42,720 +the center of the near segment when I start + +333 +00:25:42,720 --> 00:25:44,420 +looking at the distance target + +334 +00:25:47,270 --> 00:26:05,890 +I want to look at distant target I + +335 +00:26:05,890 --> 00:26:11,210 +want + +336 +00:26:11,210 --> 00:26:14,610 +to look straight through + +337 +00:26:17,690 --> 00:26:20,390 +the center of the distance segment through the + +338 +00:26:20,390 --> 00:26:27,010 +center of the distance segment and + +339 +00:26:27,010 --> 00:26:32,710 +then I + +340 +00:26:32,710 --> 00:26:40,090 +click directly now it came to my imagination or I + +341 +00:26:40,090 --> 00:26:43,350 +thought that I click on near target to see my + +342 +00:26:43,350 --> 00:26:48,060 +mobile phoneor what is similar, so I want to look + +343 +00:26:48,060 --> 00:26:55,980 +at .. I + +344 +00:26:55,980 --> 00:27:00,040 +want to look at my mobile or any target The + +345 +00:27:00,040 --> 00:27:07,030 +question isthe eye immediately moves in + +346 +00:27:07,030 --> 00:27:11,230 +nanoseconds from this position to this position + +347 +00:27:11,230 --> 00:27:17,650 +the eye while looking straight I drew its frame in + +348 +00:27:17,650 --> 00:27:23,330 +red to distinguish it while looking straight when + +349 +00:27:23,330 --> 00:27:27,300 +looking in the down gaze I drewthe same eye, it is + +350 +00:27:27,300 --> 00:27:29,740 +the same eye, but it moves gradually, it does not + +351 +00:27:29,740 --> 00:27:33,560 +move from this position to this position, it moves + +352 +00:27:33,560 --> 00:27:38,760 +down in nanoseconds, it moves gradually, it takes + +353 +00:27:38,760 --> 00:27:41,880 +part of the time, it may take a second or less + +354 +00:27:41,880 --> 00:27:43,320 +than a second, but it does not happen in + +355 +00:27:43,320 --> 00:27:46,500 +nanoseconds, okay, during the passage of the eye + +356 +00:27:46,500 --> 00:27:50,060 +in this region, during the beginning of its + +357 +00:27:50,060 --> 00:27:51,620 +descent, its descent, its descent, it goes down in + +358 +00:27:51,620 --> 00:27:54,860 +half a second, it happens in this position,Okay, + +359 +00:27:55,120 --> 00:27:58,320 +but in the second sentence, it became seen through + +360 +00:27:58,320 --> 00:28:00,940 +this point, through this point, through this + +361 +00:28:00,940 --> 00:28:04,560 +point, through this point. This point or this area + +362 +00:28:04,560 --> 00:28:07,660 +that the eye passed through before reaching the + +363 +00:28:07,660 --> 00:28:13,020 +mobile of this person. When I want to move from + +364 +00:28:13,020 --> 00:28:16,180 +the primary position to the straight ahead + +365 +00:28:16,180 --> 00:28:19,740 +position, until I walk in the down gaze, I want to + +366 +00:28:19,740 --> 00:28:23,080 +go through these sections with my eye fromهذه + +367 +00:28:23,080 --> 00:28:26,500 +المقاطع من ال lens بده أمر عليه بمعنى أخر بده أمر + +368 +00:28:26,500 --> 00:28:30,590 +عبر prismThe base is down, which means that the + +369 +00:28:30,590 --> 00:28:35,430 +image will go up towards its apex That's why when + +370 +00:28:35,430 --> 00:28:39,170 +I go from distant target to near target, I feel + +371 +00:28:39,170 --> 00:28:42,550 +that when I lower my eye towards the mobile or + +372 +00:28:42,550 --> 00:28:44,990 +towards the target that I want to look at, I feel + +373 +00:28:44,990 --> 00:28:49,150 +that the image is tilted upwards Why is it tilted + +374 +00:28:49,150 --> 00:28:51,310 +upwards? Because my eye is going through or + +375 +00:28:51,310 --> 00:28:55,510 +looking or the visual axis is passing through + +376 +00:28:55,510 --> 00:29:00,620 +areasin the near segment, through the areas in the + +377 +00:29:00,620 --> 00:29:02,980 +near segment, my eye was first in the primary + +378 +00:29:02,980 --> 00:29:09,400 +position, then it will go here first + +379 +00:29:09,400 --> 00:29:15,300 +thing, it will go here, then it will go here, then + +380 +00:29:15,300 --> 00:29:18,060 +it will go here, then it will go here + +381 +00:29:27,130 --> 00:29:30,750 +So my eye will go through these channels before it + +382 +00:29:30,750 --> 00:29:31,030 +reaches + +383 +00:29:37,050 --> 00:29:40,370 +Before you get to the correct position When you go + +384 +00:29:40,370 --> 00:29:42,570 +through and look through the prism of the base + +385 +00:29:42,570 --> 00:29:46,490 +that is down, an image jumps to the top As if the + +386 +00:29:46,490 --> 00:29:48,690 +picture shook with me, this is annoying for the + +387 +00:29:48,690 --> 00:29:52,430 +patient That I look at the TV, for example, three + +388 +00:29:52,430 --> 00:29:55,890 +or four meters away Through the optical center of + +389 +00:29:55,890 --> 00:29:59,110 +the distance segmentAnd then I want to look at my + +390 +00:29:59,110 --> 00:30:01,130 +mobile, I want to run my mobile in my hand, I want + +391 +00:30:01,130 --> 00:30:04,150 +to get my eyes from the TV to the mobile, I feel + +392 +00:30:04,150 --> 00:30:06,390 +as if the mobile is tilted upwards, that is, it + +393 +00:30:06,390 --> 00:30:08,750 +has an image jump. What is the reason? That my eye + +394 +00:30:08,750 --> 00:30:12,170 +passed through this part of the bifocal lens, + +395 +00:30:12,650 --> 00:30:17,570 +which is a part that is like a prism, its base is + +396 +00:30:17,570 --> 00:30:21,310 +down. So this image jump, in order to get rid of + +397 +00:30:21,310 --> 00:30:26,060 +it,The best thing to do is to do flat top bifocal + +398 +00:30:26,060 --> 00:30:29,600 +Flat top bifocal so that I don't go through the + +399 +00:30:29,600 --> 00:30:35,680 +part that bothers me When I have a round top, I + +400 +00:30:35,680 --> 00:30:40,860 +flat top this part and I have the center of the + +401 +00:30:40,860 --> 00:30:44,360 +near segment close to the center of the distance + +402 +00:30:44,360 --> 00:30:49,930 +segment, so when I move my eye directlyبقيت أتحرك + +403 +00:30:49,930 --> 00:30:54,410 +الصورة باتجاه عيني عيني بتنزل للأسفل وأصبحت أنا + +404 +00:30:54,410 --> 00:31:06,970 +بتطلع على ال mobile و + +405 +00:31:06,970 --> 00:31:10,940 +أنا بتطلع على ال mobileOr I lower my eye from the + +406 +00:31:10,940 --> 00:31:13,860 +primary position towards the mobile phone, I'm + +407 +00:31:13,860 --> 00:31:17,180 +looking directly from the center, so I don't have + +408 +00:31:17,180 --> 00:31:19,620 +an image jump And if my eye goes down from the + +409 +00:31:19,620 --> 00:31:22,860 +center a little bit, I have a phase up prism, so + +410 +00:31:22,860 --> 00:31:26,440 +the image moves or the image has a displacement + +411 +00:31:26,440 --> 00:31:29,800 +towards my eye movement, not in the opposite + +412 +00:31:29,800 --> 00:31:34,390 +direction of my eye movementالصورة انا قاعد بحرك + +413 +00:31:34,390 --> 00:31:37,470 +عيني للأسفل باتجاه ال mobile وصورة ال mobile قاعدة + +414 +00:31:37,470 --> 00:31:41,730 +بتقفز مني للأعلى بسبب انه ال prism هذا هذا الجزء + +415 +00:31:41,730 --> 00:31:45,930 +ال prism هذا بيحرك الصورة باتجاه ال apex بتاعته + +416 +00:31:45,930 --> 00:31:50,770 +باتجاه ال apex بتاعته الانسان اللي ممكن يعني يكون + +417 +00:31:50,770 --> 00:31:54,330 +ماوصلتوش الفكرة ممكن يجيب ال prism عادي loose + +418 +00:31:54,330 --> 00:31:59,910 +prism loose prism ويمسكه base downويحط ال target + +419 +00:31:59,910 --> 00:32:04,510 +عندهم ال mobile بتاعه أو أي شيء آخر يحط target + +420 +00:32:04,510 --> 00:32:09,590 +عندهم بشكل داوم شوية ويجيب عينه في المنطقة high + +421 +00:32:09,590 --> 00:32:14,970 +العين في المنطقة high ويجي + +422 +00:32:14,970 --> 00:32:17,730 +يطلع عليه، هيشوف صورة ال target + +423 +00:32:21,590 --> 00:32:24,570 +He will see the picture of the target as if it + +424 +00:32:24,570 --> 00:32:28,950 +moved up towards the apex of the prism Towards the + +425 +00:32:28,950 --> 00:32:33,870 +apex of the prism This is for the subject of the + +426 +00:32:33,870 --> 00:32:36,450 +bifocal and the fact that it is necessary that we + +427 +00:32:36,450 --> 00:32:41,090 +choose the type of bifocal of this picture that we + +428 +00:32:41,090 --> 00:32:41,690 +look at + +429 +00:32:51,120 --> 00:32:53,000 +this is the picture that we look at, the picture + +430 +00:32:53,000 --> 00:32:56,020 +will appear here, why? because the prism always + +431 +00:32:56,020 --> 00:32:58,780 +when I look at a target, this is a mobile phone or + +432 +00:32:58,780 --> 00:33:01,540 +something like that, when I look at the target, it + +433 +00:33:01,540 --> 00:33:05,080 +deflects the target or moves my picture upwards, + +434 +00:33:05,080 --> 00:33:08,160 +and this is an experience that a person can + +435 +00:33:08,160 --> 00:33:11,400 +practically apply, and this is what happens in + +436 +00:33:11,400 --> 00:33:15,400 +round-top bifocal in plus lenses, in plus lenses, + +437 +00:33:15,560 --> 00:33:16,500 +okay, now + +438 +00:33:22,440 --> 00:33:26,440 +This case is very important for us to take care of + +439 +00:33:26,440 --> 00:33:32,220 +it and it should be used for flat top bifocal + +440 +00:33:32,220 --> 00:33:36,000 +which is most suitable in the case of plus lenses + +441 +00:33:36,000 --> 00:33:40,180 +and we will stop at this point, the conversation + +442 +00:33:40,180 --> 00:33:44,180 +is still going onعلى قضية الprismatic effect of + +443 +00:33:44,180 --> 00:33:47,380 +lenses والمرة القادة .. القادة ماشاءالله تعالى فى + +444 +00:33:47,380 --> 00:33:53,120 +الملحق التالى بإننا ناخد موضوع الdecentration عشان + +445 +00:33:53,120 --> 00:33:56,680 +نحصل على prismatic effect ويعطيكم العافية والسلام + +446 +00:33:56,680 --> 00:33:59,160 +عليكم ورحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/wB1Ig1r_r0M_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/wB1Ig1r_r0M_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..7e56af59cda4c4e4232fc246c38ae133158e527d --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/wB1Ig1r_r0M_postprocess.srt @@ -0,0 +1,1036 @@ +1 +00:00:06,870 --> 00:00:07,590 +In the name of Allah, Most Gracious, Most + +2 +00:00:07,590 --> 00:00:11,470 +Merciful, We continue our lecture number 22 with + +3 +00:00:11,470 --> 00:00:15,730 +the Lensmakers equation The Lensmakers equation + +4 +00:00:15,730 --> 00:00:19,030 +has two major benefits or tells me two major + +5 +00:00:19,030 --> 00:00:22,510 +things The first thing now is that the location of + +6 +00:00:22,510 --> 00:00:29,170 +the image minus n over o plus a minus n over a is + +7 +00:00:29,170 --> 00:00:32,320 +equal to a minus a over a The location of the + +8 +00:00:32,320 --> 00:00:34,660 +image is related to the location of the object + +9 +00:00:34,660 --> 00:00:37,440 +Which means that if the location of the object + +10 +00:00:37,440 --> 00:00:40,280 +changes, the location of the image must change + +11 +00:00:40,280 --> 00:00:42,440 +completely If it changes and there is a third + +12 +00:00:42,440 --> 00:00:45,000 +change in the location of the object, that is, it + +13 +00:00:45,000 --> 00:00:46,380 +was at a distance, then it increased to a + +14 +00:00:46,380 --> 00:00:48,300 +distance, then it increased to a third distance, + +15 +00:00:48,980 --> 00:00:49,800 +the location of the image will also change in each + +16 +00:00:49,800 --> 00:00:53,620 +of the distances So the location of the image is + +17 +00:00:53,620 --> 00:00:55,880 +related to the location of the object What we're + +18 +00:00:55,880 --> 00:00:57,280 +going to prove, yes, we're going to give two + +19 +00:00:57,280 --> 00:01:01,800 +examples The first example The object will be at a + +20 +00:01:01,800 --> 00:01:04,080 +distance of one meter The second example is that + +21 +00:01:04,080 --> 00:01:06,160 +the object will be at a distance of half a meter + +22 +00:01:06,160 --> 00:01:09,900 +Of course, the same spherical refractive index is + +23 +00:01:09,900 --> 00:01:13,340 +half a meter which is 1 out of 10 meters and here + +24 +00:01:13,340 --> 00:01:16,240 +is 1 out of 10 meters And the refractive index is + +25 +00:01:16,240 --> 00:01:19,480 +the same refractive index Therefore, when you + +26 +00:01:19,480 --> 00:01:22,780 +change the location of the objectWhen you change + +27 +00:01:22,780 --> 00:01:24,640 +the value of the object from 2 to 1 meter, how + +28 +00:01:24,640 --> 00:01:27,140 +much was the image, or where was the image, where + +29 +00:01:27,140 --> 00:01:29,340 +is the distance of the image, when the object has + +30 +00:01:29,340 --> 00:01:31,800 +changed, we tried it from the spherical refracting + +31 +00:01:31,800 --> 00:01:33,100 +service, we tried it from a distance of half a + +32 +00:01:33,100 --> 00:01:36,000 +meter, where will the image be? We say that we use + +33 +00:01:36,000 --> 00:01:39,240 +the Lensmaker's equation minus N over O plus + +34 +00:01:39,240 --> 00:01:44,340 +Uncertaintyminus n over r equals n minus i over i + +35 +00:01:44,340 --> 00:01:51,260 +minus one over one meter plus one and a half minus + +36 +00:01:51,260 --> 00:01:55,860 +one over one of ten meters equals n minus i which + +37 +00:01:55,860 --> 00:01:59,720 +is one and a half over i which is the major minus + +38 +00:01:59,720 --> 00:02:04,520 +one over one minus one meter minus one plus one + +39 +00:02:04,520 --> 00:02:08,780 +and a half minus one remains half over one of ten + +40 +00:02:08,780 --> 00:02:13,950 +metersequal to one and a half over I minus one + +41 +00:02:13,950 --> 00:02:19,490 +meter square minus one plus half on one from ten + +42 +00:02:19,490 --> 00:02:23,550 +it becomes five meters square minus one equal to + +43 +00:02:23,550 --> 00:02:27,550 +one and a half over I minus one meter square minus + +44 +00:02:27,550 --> 00:02:30,370 +one plus five meters square minus one it becomes + +45 +00:02:30,370 --> 00:02:34,650 +four meters square minus one equal to one and a + +46 +00:02:34,650 --> 00:02:38,810 +half over I okay now four + +47 +00:02:41,020 --> 00:02:45,800 +بدي اعرف I even I ببدلهم مكان بعد يساوي واحد و نص + +48 +00:02:45,800 --> 00:02:53,140 +على اربع متر از ناقص واحد و هي ساوي تقريبا تقريبا + +49 +00:02:53,140 --> 00:02:56,060 +سبعة و تلاتين و نص سانتي + +50 +00:03:04,160 --> 00:03:11,380 +is equal to 37.5 cm So, when the object is one + +51 +00:03:11,380 --> 00:03:18,180 +meter away, the image is 37.5 cm away from I Now, + +52 +00:03:19,200 --> 00:03:22,240 +we come to the same conditions except one thing + +53 +00:03:22,240 --> 00:03:25,500 +that changed, the object distance We say that the + +54 +00:03:25,500 --> 00:03:27,940 +object distance has become half a meter instead of + +55 +00:03:27,940 --> 00:03:31,560 +a meter minus N over O plus unconditional minus N + +56 +00:03:31,560 --> 00:03:33,500 +over R is equal to unconditional + +57 +00:03:36,850 --> 00:03:41,030 +I minus 1 divided by half a meter which became a + +58 +00:03:41,030 --> 00:03:43,510 +meter. Here it was a meter which became half a + +59 +00:03:43,510 --> 00:03:45,690 +meter. We changed the distance of the object. + +60 +00:03:47,730 --> 00:03:51,930 +Uncertainty minus n one and a half minus one over + +61 +00:03:51,930 --> 00:03:55,030 +a which is one out of ten fixed meters equals + +62 +00:03:55,030 --> 00:03:58,030 +uncertainty one and a half over a which is unknown + +63 +00:03:58,030 --> 00:04:02,430 +minus one over a half which is minus two meters + +64 +00:04:02,430 --> 00:04:07,790 +minus one plus one and a half minus one and a half + +65 +00:04:07,790 --> 00:04:10,190 +the half we have to divide by one out of ten which + +66 +00:04:10,190 --> 00:04:14,130 +gives me five meters minus one which equals one + +67 +00:04:14,130 --> 00:04:19,360 +and a half over aMinus 2 plus 5 meters plus minus + +68 +00:04:19,360 --> 00:04:24,960 +1 equals 3 meters plus minus 1 equals 1.5 over I + +69 +00:04:24,960 --> 00:04:30,620 +So I change the place again equals 1.5 over 3 + +70 +00:04:30,620 --> 00:04:36,380 +meters plus minus 1 equals 1.5 over 3 which is 1.5 + +71 +00:04:36,380 --> 00:04:39,660 +and meters plus minus 1 when you go up becomes + +72 +00:04:39,660 --> 00:04:43,500 +half a meter So the picture is half a meter which + +73 +00:04:43,500 --> 00:04:49,710 +is 50 cmI to 50 cm So when we changed the distance + +74 +00:04:49,710 --> 00:04:53,090 +of the object from 1 meter to half a meter, the + +75 +00:04:53,090 --> 00:04:58,710 +distance of the image changed from 37.5 cm to 50 + +76 +00:04:58,710 --> 00:05:03,130 +cm The object moved in this direction, reduced its + +77 +00:05:03,130 --> 00:05:05,550 +distance, approached the refracting surface and + +78 +00:05:05,550 --> 00:05:09,090 +became half a meter wide And also the image moved + +79 +00:05:09,090 --> 00:05:13,410 +in this direction, it was 37 cm away, a little + +80 +00:05:13,410 --> 00:05:16,330 +further to the right Of course, the object moved + +81 +00:05:16,330 --> 00:05:19,710 +to the right, the image also moved to the right, + +82 +00:05:20,050 --> 00:05:23,390 +but not to the same extent The object approached + +83 +00:05:23,390 --> 00:05:28,610 +half a meterThe picture became 12.5 cm because 50 + +84 +00:05:28,610 --> 00:05:33,750 +cm became 57.5 + +85 +00:05:33,750 --> 00:05:37,710 +cm which means it moved to the right 12.5 cm which + +86 +00:05:37,710 --> 00:05:40,810 +means which means These two examples give me the + +87 +00:05:40,810 --> 00:05:46,350 +basis or the first conclusion If + +88 +00:05:46,350 --> 00:05:53,230 +the location of the body changes, it must, it must + +89 +00:05:53,430 --> 00:06:01,350 +to change the location of the image, but not + +90 +00:06:01,350 --> 00:06:03,250 +necessarily to the same extent. + +91 +00:06:08,050 --> 00:06:10,290 +The first thing that was told to me by the lens + +92 +00:06:10,290 --> 00:06:12,530 +maker's equation was that the location of the + +93 +00:06:12,530 --> 00:06:15,150 +image Related to the location of the object. + +94 +00:06:15,310 --> 00:06:17,490 +Changing the location of the object, as we saw in + +95 +00:06:17,490 --> 00:06:20,950 +the two cases, changes the location of the image. + +96 +00:06:21,050 --> 00:06:22,430 +Of course, provided that we have a fixed + +97 +00:06:22,430 --> 00:06:26,530 +refracting surface. The second thing we want to + +98 +00:06:26,530 --> 00:06:30,650 +talk about Or before we say the second thing we + +99 +00:06:30,650 --> 00:06:33,670 +want to talk about Let's give an example of the + +100 +00:06:33,670 --> 00:06:36,010 +distance of the object. The distance of the object + +101 +00:06:36,010 --> 00:06:41,210 +Let's say we have an object In front of the + +102 +00:06:41,210 --> 00:06:43,990 +spherical refracting surface, the answer is equal + +103 +00:06:43,990 --> 00:06:47,590 +to one and a half, the R is equal to one out of + +104 +00:06:47,590 --> 00:06:52,970 +ten meters, the object is one meter away, the + +105 +00:06:52,970 --> 00:06:59,230 +image I have is equal to + +106 +00:06:59,230 --> 00:07:02,390 +I thirty-seven and a half centimeters. + +107 +00:07:08,170 --> 00:07:10,750 +We want to say that if it is 1 meter away, we want + +108 +00:07:10,750 --> 00:07:16,070 +to place it 2 meters away We say as follows, I + +109 +00:07:16,070 --> 00:07:18,710 +have the same spherical refracting surface, this + +110 +00:07:18,710 --> 00:07:22,110 +is the optical axis The object became 2 meters + +111 +00:07:22,110 --> 00:07:27,410 +away The R is equal to 1 out of 10 meters The N is + +112 +00:07:27,410 --> 00:07:30,530 +equal to 1.5 meters and the N is equal to 1 meters + +113 +00:07:30,530 --> 00:07:34,790 +Either the image will change its locationنقص N على + +114 +00:07:34,790 --> 00:07:38,190 +R يساوي + +115 +00:07:38,190 --> 00:07:42,570 +أنشرطة على I نقص + +116 +00:07:42,570 --> 00:07:51,910 +1 على 2 متر زائد 1.5 ناقص 1 على 1 من 10 متر يساوي + +117 +00:07:51,910 --> 00:07:57,640 +1.5 على Ione minus one divided by two minus half + +118 +00:07:57,640 --> 00:08:01,660 +meter square minus one plus one and a half minus + +119 +00:08:01,660 --> 00:08:04,680 +one remains half when we divide half by one from + +120 +00:08:04,680 --> 00:08:10,760 +ten it becomes five meter square minus one equals + +121 +00:08:10,760 --> 00:08:17,360 +one and a half over I when I have minus half plus + +122 +00:08:17,360 --> 00:08:21,720 +five I have four and a half meter square minus one + +123 +00:08:21,720 --> 00:08:27,920 +equalsone and a half over I because minus half + +124 +00:08:27,920 --> 00:08:35,420 +plus five is four and a half so I is equal to one + +125 +00:08:35,420 --> 00:08:39,960 +and a half over four and a half meters minus one + +126 +00:08:39,960 --> 00:08:42,120 +which is equal to one and a half over four and a + +127 +00:08:42,120 --> 00:08:45,220 +half meters which is three hundred and thirty + +128 +00:08:45,220 --> 00:08:52,940 +three thousand metersSo the picture became 33.3 cm + +129 +00:08:52,940 --> 00:08:56,100 +When the object was 1 meter away, the picture + +130 +00:08:56,100 --> 00:09:02,380 +became or was 37 cm When the object was 2 meters + +131 +00:09:02,380 --> 00:09:09,000 +awayThe image became 33 cm wide, which means that + +132 +00:09:09,000 --> 00:09:13,060 +the image was 37.5 cm wide in the first example + +133 +00:09:13,060 --> 00:09:16,900 +when the object was one meter wide, and then when + +134 +00:09:16,900 --> 00:09:19,620 +we moved the object in this direction to the left, + +135 +00:09:33,420 --> 00:09:36,780 +The body moved to the left 1 meter, which means + +136 +00:09:36,780 --> 00:09:40,220 +that the picture moved to the left 4 centimeters. + +137 +00:09:40,420 --> 00:09:42,780 +The location of the picture changed because the + +138 +00:09:42,780 --> 00:09:45,740 +location of the object changed. The two changed + +139 +00:09:45,740 --> 00:09:48,740 +direction to the left, but not to the same extent + +140 +00:09:48,740 --> 00:09:51,740 +The object was one meter away, and the image was + +141 +00:09:51,740 --> 00:09:53,360 +about 4 cm from the surface of the refracting + +142 +00:09:53,360 --> 00:10:01,040 +surface It was about 37.5 cm, and it became 33.3 + +143 +00:10:01,040 --> 00:10:02,940 +cm + +144 +00:10:04,610 --> 00:10:08,530 +The other part or the other information from the + +145 +00:10:08,530 --> 00:10:12,090 +lensmakers equation which is half of negative N + +146 +00:10:12,090 --> 00:10:15,970 +divided by R plus N minus N divided by R is equal + +147 +00:10:15,970 --> 00:10:19,450 +to N minus R divided by I The other information + +148 +00:10:19,450 --> 00:10:23,470 +that the lensmakers equation gives me is that the + +149 +00:10:23,470 --> 00:10:30,330 +location of the image is related to the + +150 +00:10:30,330 --> 00:10:33,080 +shape of the refracting surfaceWhat does it mean + +151 +00:10:33,080 --> 00:10:36,560 +by shape? All shapes are spherical. All our work + +152 +00:10:36,560 --> 00:10:40,100 +is on the spherical shape. We mean here in the + +153 +00:10:40,100 --> 00:10:47,260 +form of a refracting surface, that is, + +154 +00:10:47,340 --> 00:10:53,060 +the amount of friction. Is it more friction or + +155 +00:10:53,060 --> 00:10:58,000 +more friction? Or less friction, less friction? + +156 +00:10:58,480 --> 00:11:03,600 +Now the challenge of the refracting surface and + +157 +00:11:03,600 --> 00:11:07,420 +its curvature is related to half of the lines Half + +158 +00:11:07,420 --> 00:11:11,960 +of the lines has a opposite relationship with the + +159 +00:11:11,960 --> 00:11:16,380 +challenge That is, every time half of the lines + +160 +00:11:16,380 --> 00:11:19,140 +increases, the challenge decreases Every time half + +161 +00:11:19,140 --> 00:11:21,020 +of the lines decreases, the challenge increases Do + +162 +00:11:21,020 --> 00:11:23,960 +you see these two drawings? Half of the lines is + +163 +00:11:23,960 --> 00:11:27,430 +smallIt means that there is a lot of oscillation, + +164 +00:11:27,510 --> 00:11:30,870 +a lot of oscillation Half a drop is big, which + +165 +00:11:30,870 --> 00:11:34,070 +means less oscillation Half a drop is bigger, + +166 +00:11:35,070 --> 00:11:40,510 +which means the ball has very little oscillation + +167 +00:11:40,510 --> 00:11:45,770 +Of course, simply put, the less the half of the + +168 +00:11:45,770 --> 00:11:48,410 +drop and the more the oscillation, the more + +169 +00:11:48,410 --> 00:11:50,270 +powerful the refracting service in the case of + +170 +00:11:50,270 --> 00:11:53,310 +objects It increases the power of the refracting + +171 +00:11:53,310 --> 00:11:56,890 +surface in the case of stars Why? Because we said + +172 +00:11:56,890 --> 00:12:01,330 +that this value is equal to the power Power from + +173 +00:12:01,330 --> 00:12:03,790 +the east minus N to R We talked about this in the + +174 +00:12:03,790 --> 00:12:08,410 +previous lectures So when R decreases, when it + +175 +00:12:08,410 --> 00:12:12,390 +decreases, when the position decreases, the total + +176 +00:12:12,390 --> 00:12:15,290 +value increases So therefore the power increases + +177 +00:12:15,290 --> 00:12:20,820 +Let's see, let's see how it is related The + +178 +00:12:20,820 --> 00:12:26,300 +location of the image is within the radius of the + +179 +00:12:26,300 --> 00:12:29,320 +refracting surface This example was given earlier + +180 +00:12:29,320 --> 00:12:32,960 +In the same equation, let's say that the object is + +181 +00:12:32,960 --> 00:12:35,760 +one meter square, n is equal to one, and n dot is + +182 +00:12:35,760 --> 00:12:41,760 +equal to one and a half. The radius of R is equal + +183 +00:12:41,760 --> 00:12:46,000 +to one tenth of a meter The object will be placed + +184 +00:12:46,000 --> 00:12:48,660 +at a distance of 1 meter I got the picture with + +185 +00:12:48,660 --> 00:12:51,780 +the calculations that I did a while ago 37.5 cm + +186 +00:12:51,780 --> 00:12:54,780 +Now I will place the object at a distance of 1 + +187 +00:12:54,780 --> 00:12:57,320 +meter as it is And what I will change is that I + +188 +00:12:57,320 --> 00:12:59,020 +will remove the refracting surface and I will + +189 +00:12:59,020 --> 00:13:00,940 +bring a refracting surface that is more + +190 +00:13:00,940 --> 00:13:03,120 +challenging That means half of its diameter is + +191 +00:13:03,120 --> 00:13:06,020 +smaller Here is 1 out of 10 meters and here is 5 + +192 +00:13:06,020 --> 00:13:09,840 +out of 100 meters But it has the same refracting + +193 +00:13:09,840 --> 00:13:13,070 +index so that the glass has the same capacity We + +194 +00:13:13,070 --> 00:13:16,370 +will see when you change the R, how the picture + +195 +00:13:16,370 --> 00:13:20,990 +changed location. We apply the lens maker equation + +196 +00:13:20,990 --> 00:13:25,490 +minus N over O plus minus N over R equals minus N + +197 +00:13:25,490 --> 00:13:32,150 +over I. Okay, minus 1 over 1 meter which is the + +198 +00:13:32,150 --> 00:13:37,210 +distance of the object plus minus 1.5 over minus 1 + +199 +00:13:37,210 --> 00:13:40,330 +which is the air refractive index over R. Now it + +200 +00:13:40,330 --> 00:13:41,990 +has changed, I have 5 out of 100 + +201 +00:13:53,490 --> 00:14:04,050 +We need to + +202 +00:14:04,050 --> 00:14:07,980 +solve this problem by sayingHere when we raise the + +203 +00:14:07,980 --> 00:14:10,680 +point, it becomes here I have the point here, when + +204 +00:14:10,680 --> 00:14:14,400 +I want to raise the point, it becomes 50 out of 5, + +205 +00:14:14,540 --> 00:14:20,540 +so 10 meters minus 1, 10 meters minus 1, one and a + +206 +00:14:20,540 --> 00:14:23,440 +half minus one half, the half when we divide by + +207 +00:14:23,440 --> 00:14:27,120 +five percent, it becomes ten, and the meter when + +208 +00:14:27,120 --> 00:14:30,420 +we subtract it becomes one meter minus one, equals + +209 +00:14:30,420 --> 00:14:37,900 +one and a half over I Minus 1 in meters minus 1 + +210 +00:14:37,900 --> 00:14:42,860 +plus 10 in meters minus 1 remains 9 meters minus 1 + +211 +00:14:42,860 --> 00:14:53,380 +equals 1.5 divided by I So I equals 1 + +212 +00:14:53,380 --> 00:15:03,620 +.5 divided by 9 meters minus 1 equals O + +213 +00:15:03,620 --> 00:15:13,770 +pointيعني meter و يساوي 16 cm و تلتين cm. إذا + +214 +00:15:13,770 --> 00:15:19,670 +الصورة في هذه الحالة I تساوي 16 cm و 66% من نطق + +215 +00:15:19,670 --> 00:15:25,990 +الصمت ال object هو ال object at a distance of one + +216 +00:15:25,990 --> 00:15:29,070 +meter And the density of the glass or refractive + +217 +00:15:29,070 --> 00:15:31,230 +index is the same density So what changes only + +218 +00:15:31,230 --> 00:15:33,710 +half of the line? When half of the line changes + +219 +00:15:33,710 --> 00:15:37,750 +When half of the line changes The location of the + +220 +00:15:37,750 --> 00:15:39,890 +image changes The location of the image here was + +221 +00:15:39,890 --> 00:15:44,050 +at a distance of 37.5 cm It became at a distance + +222 +00:15:44,050 --> 00:15:48,690 +of 16.5 cm Now, but the last point in this example + +223 +00:15:48,690 --> 00:15:52,910 +What does it mean at a distance of 37.5 cm? It + +224 +00:15:52,910 --> 00:15:56,280 +means that the rays that came from the objectThe + +225 +00:15:56,280 --> 00:15:59,760 +refracting service in the first case was able to + +226 +00:15:59,760 --> 00:16:07,940 +collect them at a distance of 37.5 + +227 +00:16:07,940 --> 00:16:13,560 +cm In the second case, when the rays came from the + +228 +00:16:13,560 --> 00:16:17,380 +object This + +229 +00:16:17,380 --> 00:16:19,400 +refracting service was able to collect them at a + +230 +00:16:19,400 --> 00:16:24,370 +distance closerwhich is 16.66% of sound. This is + +231 +00:16:24,370 --> 00:16:25,590 +the distance, which is the distance of the bird. + +232 +00:16:26,130 --> 00:16:30,130 +In other words, in the second case, the rays + +233 +00:16:30,130 --> 00:16:33,890 +gather in a closer distance because the service is + +234 +00:16:33,890 --> 00:16:36,350 +stronger in collecting the rays. The power of the + +235 +00:16:36,350 --> 00:16:41,210 +service is stronger.We come to calculate as a + +236 +00:16:41,210 --> 00:16:43,950 +final point the power of the refracting surface in + +237 +00:16:43,950 --> 00:16:46,590 +the first case and the power of the refracting + +238 +00:16:46,590 --> 00:16:49,030 +surface in the second case We say that the power + +239 +00:16:49,030 --> 00:16:51,950 +in the first case is equal to N minus N divided by + +240 +00:16:51,950 --> 00:16:55,350 +R is equal to one and a half minus one divided by + +241 +00:16:55,350 --> 00:17:01,370 +one of ten meters is equal to half divided by one + +242 +00:17:01,370 --> 00:17:06,070 +of ten meters is equal to five meters minus one + +243 +00:17:07,080 --> 00:17:10,800 +The meter minus 1 was given a new name, which is + +244 +00:17:10,800 --> 00:17:13,700 +the diopter, which is a unit for measuring the + +245 +00:17:13,700 --> 00:17:16,520 +power of lenses, which is the inverse of the + +246 +00:17:16,520 --> 00:17:19,380 +meter, or the meter minus 1 can be called a + +247 +00:17:19,380 --> 00:17:21,620 +diopter and marked with this symbol, which is 5 + +248 +00:17:21,620 --> 00:17:25,620 +diopters. So, the power of the first service is 5 + +249 +00:17:25,620 --> 00:17:28,000 +diopters. Let's see the power of the service in + +250 +00:17:28,000 --> 00:17:32,890 +the second case.انشرطة ناقس n على r ويساوي واحد و + +251 +00:17:32,890 --> 00:17:39,290 +نص ناقس واحد على خمسة من مية متر ويساوي واحد و نص + +252 +00:17:39,290 --> 00:17:45,910 +ناقس واحد نص على خمسة من مية نتر ويساوي عشرة متر + +253 +00:17:45,910 --> 00:17:56,110 +او بنجوسين عشرة ديوقترز واختصارا بنسميها عشرة دي + +254 +00:17:58,310 --> 00:18:01,990 +The service plus 5 diopters and this service plus + +255 +00:18:01,990 --> 00:18:06,410 +10 diopters means its strength is twice the + +256 +00:18:06,410 --> 00:18:10,470 +strength of the primary service, which means its + +257 +00:18:10,470 --> 00:18:14,490 +capacity to break the rays is twice as strong. + +258 +00:18:14,750 --> 00:18:18,330 +This concludes the lecture number 22. God bless + +259 +00:18:18,330 --> 00:18:20,030 +you and peace be upon you. + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/waTYY8JMD00.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/waTYY8JMD00.srt new file mode 100644 index 0000000000000000000000000000000000000000..4d232a348aed523538fc547c0322ff0a1b977437 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/waTYY8JMD00.srt @@ -0,0 +1,408 @@ + +1 +00:00:01,500 --> 00:00:02,460 +In the name of God, Most Gracious, Most Merciful. + +2 +00:00:02,700 --> 00:00:05,400 +We have an example on the concave lenses. We say + +3 +00:00:05,400 --> 00:00:09,880 +that we have a plus 9 diopter lens. The original + +4 +00:00:09,880 --> 00:00:15,100 +body is 42.5 cm away from it. We want the picture + +5 +00:00:15,100 --> 00:00:17,760 +to be one meter long. The final picture, which is + +6 +00:00:17,760 --> 00:00:20,920 +the picture of the plus lens, should be one meter + +7 +00:00:20,920 --> 00:00:25,610 +long. So we put a lens in front of it. Minus, to + +8 +00:00:25,610 --> 00:00:27,770 +make the picture a little far, the distance + +9 +00:00:27,770 --> 00:00:30,030 +between the plus and minus lens is two and a half + +10 +00:00:30,030 --> 00:00:32,210 +centimeters. We want to get the force of the minus + +11 +00:00:32,210 --> 00:00:34,010 +lens. Then we start the solution from the + +12 +00:00:34,010 --> 00:00:36,450 +opposite, that is, we move and deal with each lens + +13 +00:00:36,450 --> 00:00:38,990 +one by one. This is the picture of the second + +14 +00:00:38,990 --> 00:00:41,330 +lens, this is the final picture that we want on + +15 +00:00:41,330 --> 00:00:46,910 +one meter. The first question is where? I2, which + +16 +00:00:46,910 --> 00:00:51,890 +is the second picture, equals one meter + +17 +00:00:55,230 --> 00:01:07,430 +معروف انه I تساوي on شرطة على V اذا + +18 +00:01:07,430 --> 00:01:19,130 +V تساوي on شرطة على I I + +19 +00:01:19,130 --> 00:01:22,790 +احنا بنيها على واحد متر اذا هو ساوي واحد on شرطة + +20 +00:01:22,790 --> 00:01:31,130 +على one meter and it equals plus one diopter when + +21 +00:01:31,130 --> 00:01:37,070 +it is v plus one diopter when it is v plus one + +22 +00:01:37,070 --> 00:01:40,810 +diopter, then the picture becomes one meter wide + +23 +00:01:40,810 --> 00:01:45,190 +one meter wide so the first condition to make the + +24 +00:01:45,190 --> 00:01:51,770 +picture one meter wide it must have v plus one + +25 +00:01:51,770 --> 00:01:52,230 +diopter. + +26 +00:02:01,550 --> 00:02:05,570 +We write here that v is plus one diopter. + +27 +00:02:08,970 --> 00:02:17,350 +So when v is plus one diopter, i is one meter. The + +28 +00:02:17,350 --> 00:02:25,450 +second question is where is v + +29 +00:02:25,450 --> 00:02:28,530 +is equal to plus one diopter? + +30 +00:02:34,470 --> 00:02:44,290 +V عندي ال U زائد B تساوي + +31 +00:02:44,290 --> 00:02:56,030 +V حاول + +32 +00:02:56,030 --> 00:02:59,810 +نظغر ال .. الكلام حتى يكون عندي متسع + +33 +00:03:05,790 --> 00:03:12,930 +for u which is unknown plus power 9 diopter equals + +34 +00:03:12,930 --> 00:03:24,050 +v equals plus 1 diopter so u equals minus 8 + +35 +00:03:24,050 --> 00:03:28,730 +diopter when i move plus 9 diopter to the right of + +36 +00:03:28,730 --> 00:03:31,510 +equation it becomes minus 9 diopter with plus 1 + +37 +00:03:31,510 --> 00:03:34,790 +diopter it becomes minus 1 diopter, so the answer + +38 +00:03:47,160 --> 00:03:54,720 +when? When v1 is a diopter when u is a minus eight + +39 +00:03:54,720 --> 00:04:04,760 +diopter, ok, we want u minus eight diopter now + +40 +00:04:04,760 --> 00:04:05,560 +the question is + +41 +00:04:08,410 --> 00:04:12,750 +mada ال U بتساوي minus تمانية ديوتر السؤال رقم + +42 +00:04:12,750 --> 00:04:34,110 +تلات وين؟ + +43 +00:04:36,020 --> 00:04:41,820 +u is equal to minus eight diopters, this is a + +44 +00:04:41,820 --> 00:04:49,980 +question we say using + +45 +00:04:49,980 --> 00:04:59,360 +colors helps a lot the u which is n over o we said + +46 +00:04:59,360 --> 00:05:05,260 +that o is unknown u is equal to n over o, then o + +47 +00:05:08,860 --> 00:05:16,660 +تساوي N على U و يساوي N واحد refractive index تاع + +48 +00:05:16,660 --> 00:05:20,820 +الهواء على U طبعا يفضل U نكتبها بال capital letter + +49 +00:05:20,820 --> 00:05:32,440 +و يساوي واحد على minus تمانية ديوبتر و + +50 +00:05:32,440 --> 00:05:38,070 +يساوي minusone hundred and twenty-five thousand + +51 +00:05:38,070 --> 00:05:43,470 +meters, which is equal to minus twelve and a half + +52 +00:05:43,470 --> 00:05:48,190 +centimeters. Here the minus means on the left. The + +53 +00:05:48,190 --> 00:05:53,030 +minus means on the left. So the question is when + +54 +00:05:53,030 --> 00:05:57,950 +is the U minus eight diopters? When the O is on + +55 +00:05:57,950 --> 00:06:02,590 +the left of the plus lens with an amount of twelve + +56 +00:06:02,590 --> 00:06:08,960 +and a half centimeters. This is the black color with + +57 +00:06:08,960 --> 00:06:14,300 +a line under it and + +58 +00:06:14,300 --> 00:06:21,900 +this is the red color now. + +59 +00:06:21,900 --> 00:06:26,480 +We put the object on the left of this lens with a + +60 +00:06:26,480 --> 00:06:30,720 +distance of 12.5 cm, so here we have 2.5 cm and + +61 +00:06:30,720 --> 00:06:34,840 +there is still 10 cm left. We put the object on a + +62 +00:06:34,840 --> 00:06:42,060 +distance Ten centimeters from the lens, which is the + +63 +00:06:42,060 --> 00:06:42,360 +minus + +64 +00:07:05,450 --> 00:07:09,490 +Of course the body is this body of the lens to + +65 +00:07:09,490 --> 00:07:13,570 +plus is the same image of the lens to minus, which + +66 +00:07:13,570 --> 00:07:17,350 +is virtual image. The virtual image is 10 cm away + +67 +00:07:17,350 --> 00:07:19,150 +from it because it is 12.5 cm away from the lens + +68 +00:07:19,150 --> 00:07:19,670 +to plus. + +69 +00:07:39,720 --> 00:07:47,010 +Come now. The matter is almost. It got closer to the + +70 +00:07:47,010 --> 00:07:53,070 +end. Now I have the minus lens. This picture is 10 + +71 +00:07:53,070 --> 00:07:55,410 +cm away from it. And this is its body. How far is it + +72 +00:07:55,410 --> 00:07:59,810 +from it? The body is 42.5 cm away from the plus + +73 +00:07:59,810 --> 00:08:02,890 +lens. If we subtract 2.5 cm from them. The distance + +74 +00:08:02,890 --> 00:08:04,910 +of the body of the minus lens is greater than the + +75 +00:08:04,910 --> 00:08:10,110 +minus lens. So it is 40 cm. So negative n over o + +76 +00:08:10,110 --> 00:08:19,120 +plus power is equal to minus unconditional over I + +77 +00:08:19,120 --> 00:08:21,980 +this time it's all negative. Why? because the + +78 +00:08:21,980 --> 00:08:24,380 +object is on the left and the image is on the left + +79 +00:08:24,380 --> 00:08:30,380 +minus one over forty centimeters which is four out + +80 +00:08:30,380 --> 00:08:37,160 +of ten meters. Plus power is + +81 +00:08:37,160 --> 00:08:42,520 +equal to minus one over I which is ten centimeters + +82 +00:08:42,520 --> 00:08:48,410 +one out of ten meters. Minus 1 to 4 from 10 meters, which + +83 +00:08:48,410 --> 00:08:50,930 +is minus 2 and a half, and the meter goes up and + +84 +00:08:50,930 --> 00:08:53,410 +becomes meter plus minus 1, which is minus 2 and a + +85 +00:08:53,410 --> 00:08:56,390 +half diopter, plus the power, + +86 +00:08:59,010 --> 00:09:02,850 +which is equal to minus 1 to 1 from 10, which is + +87 +00:09:02,850 --> 00:09:06,150 +minus 10, and the meter in the place goes up and + +88 +00:09:06,150 --> 00:09:09,230 +becomes meter plus minus 1, which is a diopter. So + +89 +00:09:09,230 --> 00:09:14,030 +the power is equal to + +90 +00:09:14,030 --> 00:09:19,240 +minus 10 diopters, Plus two and a half diopters, + +91 +00:09:19,520 --> 00:09:21,700 +when we subtracted it, it was minus. When we + +92 +00:09:21,700 --> 00:09:24,720 +subtracted it, it became plus, and it is equal to + +93 +00:09:24,720 --> 00:09:29,340 +minus seven and a half diopters. So the power of + +94 +00:09:29,340 --> 00:09:33,060 +the minus lens is equal to minus seven and a half + +95 +00:09:33,060 --> 00:09:35,520 +diopters. Minus seven and a half diopters. + +96 +00:09:44,340 --> 00:09:45,880 +I will increase it a little bit. + +97 +00:09:49,390 --> 00:09:51,930 +So the minus of the lens has a diameter of minus + +98 +00:09:51,930 --> 00:10:01,850 +seven and a half diopter. That's + +99 +00:10:01,850 --> 00:10:07,650 +how the story ended and we found the power of the + +100 +00:10:07,650 --> 00:10:11,810 +lens that will make the plus of the lens have a + +101 +00:10:11,810 --> 00:10:13,750 +diameter of one meter. God bless you all and peace + +102 +00:10:13,750 --> 00:10:16,030 +be upon you all diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/waTYY8JMD00_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/waTYY8JMD00_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..77039e343885c5114d006c572fc582c33c7d7b28 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/waTYY8JMD00_postprocess.srt @@ -0,0 +1,408 @@ +1 +00:00:01,500 --> 00:00:02,460 +In the name of God, Most Gracious, Most Merciful. + +2 +00:00:02,700 --> 00:00:05,400 +We have an example on the concave lenses. We say + +3 +00:00:05,400 --> 00:00:09,880 +that we have a plus 9 diopter lens. The original + +4 +00:00:09,880 --> 00:00:15,100 +body is 42.5 cm away from it. We want the picture + +5 +00:00:15,100 --> 00:00:17,760 +to be one meter long. The final picture, which is + +6 +00:00:17,760 --> 00:00:20,920 +the picture of the plus lens, should be one meter + +7 +00:00:20,920 --> 00:00:25,610 +long. So we put a lens in front of it.Minus, to + +8 +00:00:25,610 --> 00:00:27,770 +make the picture a little far, the distance + +9 +00:00:27,770 --> 00:00:30,030 +between the plus and minus lens is two and a half + +10 +00:00:30,030 --> 00:00:32,210 +centimeters, we want to get the force of the minus + +11 +00:00:32,210 --> 00:00:34,010 +lens, then we start the solution from the + +12 +00:00:34,010 --> 00:00:36,450 +opposite, that is, we move and deal with each lens + +13 +00:00:36,450 --> 00:00:38,990 +one by one, this is the picture of the second + +14 +00:00:38,990 --> 00:00:41,330 +lens, this is the final picture that we want on + +15 +00:00:41,330 --> 00:00:46,910 +one meter, the first question is where? I2, which + +16 +00:00:46,910 --> 00:00:51,890 +is the second picture, equals one meter + +17 +00:00:55,230 --> 00:01:07,430 +معروف انه I تساوي on شرطة على V اذا + +18 +00:01:07,430 --> 00:01:19,130 +V تساوي on شرطة على I I + +19 +00:01:19,130 --> 00:01:22,790 +احنا بنيها على واحد متر اذا هو ساوي واحد on شرطة + +20 +00:01:22,790 --> 00:01:31,130 +علىone meter and it equals plus one diopter when + +21 +00:01:31,130 --> 00:01:37,070 +it is v plus one diopter when it is v plus one + +22 +00:01:37,070 --> 00:01:40,810 +diopter then the picture becomes one meter wide + +23 +00:01:40,810 --> 00:01:45,190 +one meter wide so the first condition to make the + +24 +00:01:45,190 --> 00:01:51,770 +picture one meter wide it must have v plus one + +25 +00:01:51,770 --> 00:01:52,230 +diopter + +26 +00:02:01,550 --> 00:02:05,570 +We write here that v is plus one diopter. + +27 +00:02:08,970 --> 00:02:17,350 +So when v is plus one diopter, i is one meter. The + +28 +00:02:17,350 --> 00:02:25,450 +second question is where is v + +29 +00:02:25,450 --> 00:02:28,530 +is equal to plus one diopter? + +30 +00:02:34,470 --> 00:02:44,290 +V عندي ال U زائد B تساوي + +31 +00:02:44,290 --> 00:02:56,030 +V حاول + +32 +00:02:56,030 --> 00:02:59,810 +نظغر ال .. الكلام حتى يكون عندي متسع + +33 +00:03:05,790 --> 00:03:12,930 +for u which is unknown plus power 9 diopter equals + +34 +00:03:12,930 --> 00:03:24,050 +v equals plus 1 diopter so u equals minus 8 + +35 +00:03:24,050 --> 00:03:28,730 +diopter when i move plus 9 diopter to the right of + +36 +00:03:28,730 --> 00:03:31,510 +equation it becomes minus 9 diopter with plus 1 + +37 +00:03:31,510 --> 00:03:34,790 +diopter it becomes minus 1 diopter so the answer + +38 +00:03:47,160 --> 00:03:54,720 +when? when v1 is a diopter when u is a minus eight + +39 +00:03:54,720 --> 00:04:04,760 +diopter ok we want u minus eight diopter now + +40 +00:04:04,760 --> 00:04:05,560 +the question is + +41 +00:04:08,410 --> 00:04:12,750 +mada ال U بتساوي minus تمانية ديوتر السؤال رقم + +42 +00:04:12,750 --> 00:04:34,110 +تلات وين؟ + +43 +00:04:36,020 --> 00:04:41,820 +u is equal to minus eight diopters this is a + +44 +00:04:41,820 --> 00:04:49,980 +question we say using + +45 +00:04:49,980 --> 00:04:59,360 +colors helps a lot the u which is n over o we said + +46 +00:04:59,360 --> 00:05:05,260 +that o is unknown u is equal to n over o then o + +47 +00:05:08,860 --> 00:05:16,660 +تساوي N على U و يساوي N واحد refractive index تاع + +48 +00:05:16,660 --> 00:05:20,820 +الهواء على U طبعا يفضل U نكتبها بال capital letter + +49 +00:05:20,820 --> 00:05:32,440 +و يساوي واحد على minus تمانية ديوبتر و + +50 +00:05:32,440 --> 00:05:38,070 +يساوي minusone hundred and twenty-five thousand + +51 +00:05:38,070 --> 00:05:43,470 +meters, which is equal to minus twelve and a half + +52 +00:05:43,470 --> 00:05:48,190 +centimeters Here the minus means on the left, the + +53 +00:05:48,190 --> 00:05:53,030 +minus means on the left, so the question is when + +54 +00:05:53,030 --> 00:05:57,950 +is the U minus eight diopters? When the O is on + +55 +00:05:57,950 --> 00:06:02,590 +the left of the plus lens with an amount of twelve + +56 +00:06:02,590 --> 00:06:08,960 +and a half centimetersthis is the black color with + +57 +00:06:08,960 --> 00:06:14,300 +a line under it and + +58 +00:06:14,300 --> 00:06:21,900 +this is the red color now + +59 +00:06:21,900 --> 00:06:26,480 +we put the object on the left of this lens with a + +60 +00:06:26,480 --> 00:06:30,720 +distance of 12.5 cm so here we have 2.5 cm and + +61 +00:06:30,720 --> 00:06:34,840 +there is still 10 cm left we put the object on a + +62 +00:06:34,840 --> 00:06:42,060 +distanceTen centimeters from the lens which is the + +63 +00:06:42,060 --> 00:06:42,360 +minus + +64 +00:07:05,450 --> 00:07:09,490 +of course the body is this body of the lens to + +65 +00:07:09,490 --> 00:07:13,570 +plus is the same image of the lens to minus which + +66 +00:07:13,570 --> 00:07:17,350 +is virtual image the virtual image is 10 cm away + +67 +00:07:17,350 --> 00:07:19,150 +from it because it is 12.5 cm away from the lens + +68 +00:07:19,150 --> 00:07:19,670 +to plus + +69 +00:07:39,720 --> 00:07:47,010 +Come Now, the matter is almostIt got closer to the + +70 +00:07:47,010 --> 00:07:53,070 +end Now I have the minus lens This picture is 10 + +71 +00:07:53,070 --> 00:07:55,410 +cm away from it And this is its body How far is it + +72 +00:07:55,410 --> 00:07:59,810 +from it? The body is 42.5 cm away from the plus + +73 +00:07:59,810 --> 00:08:02,890 +lens If we subtract 2.5 cm from them The distance + +74 +00:08:02,890 --> 00:08:04,910 +of the body of the minus lens is greater than the + +75 +00:08:04,910 --> 00:08:10,110 +minus lens So it is 40 cm So negative n over o + +76 +00:08:10,110 --> 00:08:19,120 +plus power is equal to minus unconditional over I + +77 +00:08:19,120 --> 00:08:21,980 +this time it's all negative, why? because the + +78 +00:08:21,980 --> 00:08:24,380 +object is on the left and the image is on the left + +79 +00:08:24,380 --> 00:08:30,380 +minus one over forty centimeters which is four out + +80 +00:08:30,380 --> 00:08:37,160 +of ten meters plus power is + +81 +00:08:37,160 --> 00:08:42,520 +equal to minus one over I which is ten centimeters + +82 +00:08:42,520 --> 00:08:48,410 +one out of ten meters-1 to 4 from 10 meters, which + +83 +00:08:48,410 --> 00:08:50,930 +is minus 2 and a half, and the meter goes up and + +84 +00:08:50,930 --> 00:08:53,410 +becomes meter plus minus 1, which is minus 2 and a + +85 +00:08:53,410 --> 00:08:56,390 +half diopter, plus the power, + +86 +00:08:59,010 --> 00:09:02,850 +which is equal to minus 1 to 1 from 10, which is + +87 +00:09:02,850 --> 00:09:06,150 +minus 10, and the meter in the place goes up and + +88 +00:09:06,150 --> 00:09:09,230 +becomes meter plus minus 1, which is a diopter. So + +89 +00:09:09,230 --> 00:09:14,030 +the power is equal to + +90 +00:09:14,030 --> 00:09:19,240 +minus 10 diopters,Plus two and a half diopters, + +91 +00:09:19,520 --> 00:09:21,700 +when we subtracted it it was minus, when we + +92 +00:09:21,700 --> 00:09:24,720 +subtracted it it became plus, and it is equal to + +93 +00:09:24,720 --> 00:09:29,340 +minus seven and a half diopters. So the power of + +94 +00:09:29,340 --> 00:09:33,060 +the minus lens is equal to minus seven and a half + +95 +00:09:33,060 --> 00:09:35,520 +diopters. Minus seven and a half diopters. + +96 +00:09:44,340 --> 00:09:45,880 +I will increase it a little bit. + +97 +00:09:49,390 --> 00:09:51,930 +So the minus of the lens has a diameter of minus + +98 +00:09:51,930 --> 00:10:01,850 +seven and a half diopter That's + +99 +00:10:01,850 --> 00:10:07,650 +how the story ended and we found the power of the + +100 +00:10:07,650 --> 00:10:11,810 +lens that will make the plus of the lens have a + +101 +00:10:11,810 --> 00:10:13,750 +diameter of one meter God bless you all and peace + +102 +00:10:13,750 --> 00:10:16,030 +be upon you all + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/ww9Jbh865oA_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/ww9Jbh865oA_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..3e8f14c807030b6dc34bd916860240a3ebc43046 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/ww9Jbh865oA_postprocess.srt @@ -0,0 +1,1344 @@ +1 +00:00:01,470 --> 00:00:05,130 +بسم الله الرحمن الرحيم عنا مسألة على ال lens + +2 +00:00:05,130 --> 00:00:09,610 +combination و في هذه المسألة في عندي تلت عدسات ال + +3 +00:00:09,610 --> 00:00:13,050 +object على شمال العدسة الأولى بمسافة خمسين صنطة + +4 +00:00:13,050 --> 00:00:16,510 +المسافة بين العدسة الأولى و التانية خمسة و تلاتين + +5 +00:00:16,510 --> 00:00:21,370 +صنطة و المسافة بين العدسة التانية و التالتة أيضا + +6 +00:00:21,370 --> 00:00:24,340 +خمسة و تلاتين صنطةThe force of the first lens is + +7 +00:00:24,340 --> 00:00:27,220 +plus 12 diopters, the second lens is plus 8 + +8 +00:00:27,220 --> 00:00:30,980 +diopters, the third lens is plus 14 diopters, the + +9 +00:00:30,980 --> 00:00:34,040 +three lenses are in the air and the angle of the + +10 +00:00:34,040 --> 00:00:40,100 +air is equal to 1equal to one now to see the final + +11 +00:00:40,100 --> 00:00:44,200 +picture where it is located and what is the total + +12 +00:00:44,200 --> 00:00:47,080 +transphase magnification what is the total + +13 +00:00:47,080 --> 00:00:49,620 +transphase magnification we say to solve this + +14 +00:00:49,620 --> 00:00:52,980 +problem first thing we need to deal with each lens + +15 +00:00:52,980 --> 00:00:58,300 +one by one now when I work with the first lens I + +16 +00:00:58,300 --> 00:01:02,880 +will put a dotted line and I will make a thick + +17 +00:01:02,880 --> 00:01:08,990 +dotted line so that I do not missto mess up with + +18 +00:01:08,990 --> 00:01:11,590 +the other lenses this side of the problem doesn't + +19 +00:01:11,590 --> 00:01:15,030 +bother me at all because I have one lens plus 12 + +20 +00:01:15,030 --> 00:01:18,290 +diopters and the body on its left is 50 + +21 +00:01:18,290 --> 00:01:20,650 +centimeters I want to see the picture of the first + +22 +00:01:20,650 --> 00:01:25,950 +lens where it will fall so we will put the square + +23 +00:01:25,950 --> 00:01:28,190 +of the situation the square of the people of + +24 +00:01:28,190 --> 00:01:28,910 +course of the situation + +25 +00:01:40,830 --> 00:01:48,770 +بنقول في الأول بنجيب ال U، U تساوي ناقص N على O، + +26 +00:01:48,770 --> 00:01:51,690 +ليش ناقص؟ لأنه الأشعة ال divergence، دائما الأشعة + +27 +00:01:51,690 --> 00:01:56,270 +ال divergence تناقص، ناقص N اللي هي واحد على O + +28 +00:01:56,270 --> 00:02:05,540 +اللي هي نص متر، خمسة من عشرة مترو يساوي ناقص واحد + +29 +00:02:05,540 --> 00:02:08,860 +على نص بطلع اتنين و ال meter فى المقام بطلع بيصير + +30 +00:02:08,860 --> 00:02:12,480 +meter اص ناقص واحد يعنى دا يبطر اذا ال u ناقص + +31 +00:02:12,480 --> 00:02:17,700 +اتنين دا يبطر ناقص اتنين دا يبطر انا ساعتها باجى + +32 +00:02:17,700 --> 00:02:22,820 +بحط ال u على السطح الامامى للعدسة و بقول للعدسة + +33 +00:02:22,820 --> 00:02:25,220 +انه طبعا ناقص اتنين دا يبطر + +34 +00:02:28,580 --> 00:02:32,220 +produced versions of course, minus two diopters. + +35 +00:02:32,540 --> 00:02:37,020 +The lens will change the polarity of the light, + +36 +00:02:37,360 --> 00:02:40,660 +first of all, instead of being polarizedit will + +37 +00:02:40,660 --> 00:02:43,240 +cancel the fluctuation it will subtract from it + +38 +00:02:43,240 --> 00:02:47,140 +from plus 12 it will subtract plus 2 to cancel the + +39 +00:02:47,140 --> 00:02:50,140 +minus 2 diopter fluctuation it will remain from + +40 +00:02:50,140 --> 00:02:53,180 +the power of the lens plus 10 which will be used + +41 +00:02:53,180 --> 00:02:56,680 +to collect the rays so v because I know it so I + +42 +00:02:56,680 --> 00:03:06,760 +say u plus p equals v the u we said minus 2 + +43 +00:03:06,760 --> 00:03:14,220 +diopter plus powerwhich is 12 diopters is equal to + +44 +00:03:14,220 --> 00:03:20,280 +V, so V is equal to plus 10 diopters because minus + +45 +00:03:20,280 --> 00:03:25,900 +2 plus 12 is equal to plus 10 diopters we know + +46 +00:03:25,900 --> 00:03:34,180 +that V is equal to I, I + +47 +00:03:34,180 --> 00:03:38,080 +subtract them, I replace I and V with each other + +48 +00:03:40,590 --> 00:03:50,230 +then I is equal to V divided by V + +49 +00:03:50,230 --> 00:03:59,470 +which is equal to one divided by V which is plus + +50 +00:03:59,470 --> 00:04:02,230 +ten diopters plus ten diopters of course I don't + +51 +00:04:02,230 --> 00:04:05,250 +have to forget I have to write on the back of my + +52 +00:04:05,250 --> 00:04:12,440 +head plus ten dioptersWhat does V mean? It means + +53 +00:04:12,440 --> 00:04:16,940 +that the rays came in groups of 2 and came out of + +54 +00:04:16,940 --> 00:04:22,640 +the lens in groups of 10 What does a group mean? + +55 +00:04:22,760 --> 00:04:24,020 +It means that a picture is going to be formed. You + +56 +00:04:24,020 --> 00:04:26,260 +see a picture on any dimension, we say that it is + +57 +00:04:26,260 --> 00:04:28,260 +equal to any condition on V and it is equal to 1 + +58 +00:04:28,260 --> 00:04:35,740 +over plus 10 dioptersويساوي واحد على plus عشرة + +59 +00:04:35,740 --> 00:04:39,480 +يعني واحد من عشرة طبعا plus هيطلع plus لإن plus ع + +60 +00:04:39,480 --> 00:04:43,560 +plus بيضل plus واحد على عشرة يعني واحد من عشرة + +61 +00:04:44,390 --> 00:04:48,110 +والديوبتر في المقام الديوبتر عبارة عن متر اصنافس + +62 +00:04:48,110 --> 00:04:52,610 +واحد لما بيطلع بيصير متر واحد من عشرة متر الصورة + +63 +00:04:52,610 --> 00:04:55,670 +الأولى تكونت على بعد واحد من عشرة متر على يمين + +64 +00:04:55,670 --> 00:04:59,590 +العدسة الواحد من عشرة متر بتحوله لصانتي يعني يساوي + +65 +00:04:59,590 --> 00:05:04,010 +عشرة صانتي plus عشرة صانتي يعني على يمين العدسة + +66 +00:05:04,010 --> 00:05:11,290 +بمقدار عشرة صانتي بنقول هى الصورة على بعد عشرة + +67 +00:05:11,290 --> 00:05:11,810 +صانتي + +68 +00:05:15,420 --> 00:05:17,780 +from the first lens, from the first lens I don't + +69 +00:05:17,780 --> 00:05:21,620 +have it now, until now this is unknown to me this + +70 +00:05:21,620 --> 00:05:23,820 +is unknown to me, so that it is preferable if I + +71 +00:05:23,820 --> 00:05:27,240 +solve on a notebook or something of this kind I + +72 +00:05:27,240 --> 00:05:30,420 +cover this part with an external paper or with a + +73 +00:05:30,420 --> 00:05:32,500 +piece of cardboard, I cover it so that I don't see + +74 +00:05:32,500 --> 00:05:36,280 +it, so that I don't get confused Now, you see, the + +75 +00:05:36,280 --> 00:05:38,700 +ten centimeters, where will this be? where will it + +76 +00:05:38,700 --> 00:05:41,140 +be? the ten centimeters, the distance between the + +77 +00:05:41,140 --> 00:05:45,760 +two lenses 35 cm, so I want to estimate the + +78 +00:05:45,760 --> 00:05:55,500 +distance of 10 cm and draw the image it has this + +79 +00:05:55,500 --> 00:06:04,220 +is + +80 +00:06:04,220 --> 00:06:08,080 +the image I + +81 +00:06:08,080 --> 00:06:08,740 +give it another color + +82 +00:06:17,020 --> 00:06:22,060 +So this, which is the first picture, is 10 cm away + +83 +00:06:22,060 --> 00:06:33,540 +from the lens that made it up So + +84 +00:06:33,540 --> 00:06:36,920 +the distance from the picture, which is the red + +85 +00:06:36,920 --> 00:06:39,920 +arrowfor the lens that made it, which is lens + +86 +00:06:39,920 --> 00:06:46,340 +number 1, 10 cm, 10 cm Now this picture is + +87 +00:06:46,340 --> 00:06:49,520 +considered a body compared to the other lens As + +88 +00:06:49,520 --> 00:06:51,700 +long as the distance between the two lenses is 35 + +89 +00:06:51,700 --> 00:06:56,610 +cm, as we can seeوالصورة الأولى بتبعد عن العدسة + +90 +00:06:56,610 --> 00:07:01,190 +الأولى عشرة صنطة فهى كجسم مش كصورة كجسم للعدسة + +91 +00:07:01,190 --> 00:07:04,090 +التانية جداش بتبعد عن العدسة التانية الخمسة و + +92 +00:07:04,090 --> 00:07:07,690 +تلاتين بشيل منهم عشرة بيضل عندي خمسة و عشرين صنطة + +93 +00:07:07,690 --> 00:07:12,810 +بيضل عندي خمسة و عشرين صنطة + +94 +00:07:12,810 --> 00:07:18,230 +يعنى ربع متر يعنى ربع مترNow I will finish my work + +95 +00:07:18,230 --> 00:07:20,250 +with the first lens because I want to bring the + +96 +00:07:20,250 --> 00:07:23,150 +first transference magnification The first + +97 +00:07:23,150 --> 00:07:39,490 +transference magnification is Tm1 + +98 +00:07:39,490 --> 00:07:42,150 +which is the transference magnification of the + +99 +00:07:42,150 --> 00:07:44,970 +first image which is equal to U over V + +100 +00:07:48,090 --> 00:07:53,730 +ويساوي الـU السريع عرا اسمه minus 2 diopter على ال + +101 +00:07:53,730 --> 00:08:02,010 +V plus 10 diopter ويساوي + +102 +00:08:02,010 --> 00:08:09,470 +X minus ع plus minus و2 على 10 يعني 2 من 10 يعني + +103 +00:08:09,470 --> 00:08:13,570 +الخمس 2 من 10 طبعا ال diopter ع ال diopter بروح + +104 +00:08:13,570 --> 00:08:15,530 +اذا ل transfers magnification + +105 +00:08:23,060 --> 00:08:27,700 +to transfer magnification that the image is made + +106 +00:08:27,700 --> 00:08:33,600 +up of five objects this is how the first part of + +107 +00:08:33,600 --> 00:08:37,520 +the example ends now I want to angle to deal with + +108 +00:08:37,520 --> 00:08:41,180 +each lens one by one now I have to put another + +109 +00:08:41,180 --> 00:08:44,700 +line so I don't get confused + +110 +00:08:48,580 --> 00:08:52,520 +In this part of the example, I have a lens and its + +111 +00:08:52,520 --> 00:08:55,760 +object is the image of the first lens, which we + +112 +00:08:55,760 --> 00:08:58,860 +drew in red, which is 25 cm away from the second + +113 +00:08:58,860 --> 00:09:02,780 +lens. Now I have an object and an optical system, + +114 +00:09:02,900 --> 00:09:04,880 +which means that an image must be formed. An image + +115 +00:09:04,880 --> 00:09:07,220 +must be formed. Let's see where this image is + +116 +00:09:07,220 --> 00:09:09,520 +formed. We start with the second part of the + +117 +00:09:09,520 --> 00:09:09,900 +example. + +118 +00:09:22,160 --> 00:09:32,960 +بنقول ال U تساوي ناقص N على O على + +119 +00:09:32,960 --> 00:09:37,280 +O عفوا و يساوي، قبل ما نكمل بنقول، ممكن إنسان + +120 +00:09:37,280 --> 00:09:40,750 +يقول، يعني ليش ناقص؟We say, as follows, the rays + +121 +00:09:40,750 --> 00:09:43,550 +gathered in a picture, and after they gathered, + +122 +00:09:43,810 --> 00:09:48,170 +they scattered again to move, that is, they + +123 +00:09:48,170 --> 00:09:51,830 +gathered, formed the first picture, then the rays + +124 +00:09:51,830 --> 00:09:56,750 +separated and scattered again, and thus, that is, + +125 +00:09:58,190 --> 00:10:01,610 +the rays diverged, the rays diverged, so we give + +126 +00:10:01,610 --> 00:10:06,650 +it minus .. minus ..as an indication because it is + +127 +00:10:06,650 --> 00:10:12,890 +divergent and it is equal to minus one over + +128 +00:10:12,890 --> 00:10:17,610 +the distance of the new object which was the first + +129 +00:10:17,610 --> 00:10:20,130 +image which I will call the object of the second + +130 +00:10:20,130 --> 00:10:23,270 +lens over a quarter of a meter which is away from + +131 +00:10:23,270 --> 00:10:31,090 +the second lens which is equal to minus one over a + +132 +00:10:31,090 --> 00:10:34,430 +quarter which is four which is greaterof course + +133 +00:10:34,430 --> 00:10:36,630 +the meter below when it goes up it becomes meter + +134 +00:10:36,630 --> 00:10:41,430 +minus one, which is minus four diopters quickly I + +135 +00:10:41,430 --> 00:10:48,270 +want to go and take the minus four and tell the + +136 +00:10:48,270 --> 00:10:52,170 +other lens the light will reach you scattered by + +137 +00:10:52,170 --> 00:10:58,350 +minus four diopters by minus four diopters, + +138 +00:10:58,510 --> 00:11:04,960 +thereforeit will be negative 4 diopter now the + +139 +00:11:04,960 --> 00:11:08,340 +lens has a force of 8 diopter plus 8 it will leave + +140 +00:11:08,340 --> 00:11:11,200 +from its force plus 4 to cancel the negativity + +141 +00:11:11,200 --> 00:11:16,720 +which is minus 4 it will stay with it plus 4 to + +142 +00:11:16,720 --> 00:11:26,060 +collect things we say u plus p equals v the u + +143 +00:11:26,060 --> 00:11:27,460 +minus 4 diopter + +144 +00:11:36,670 --> 00:11:40,330 +plus 4 diopter + +145 +00:11:52,710 --> 00:11:56,450 +انو ال V plus أربع ديوبتر على السطح الخالفي للعدسة + +146 +00:11:56,450 --> 00:11:57,790 +Why on the back of the lens? Why on the back of + +147 +00:11:57,790 --> 00:11:58,890 +the lens? It's okay because what does the lens + +148 +00:11:58,890 --> 00:12:05,810 +say? جاني الضوء متشتت بمقدار أربع درجات I turned + +149 +00:12:05,810 --> 00:12:09,450 +from a quadrangle of four degrees or four diopters + +150 +00:12:09,450 --> 00:12:12,410 +to a quadrangle of four diopters + +151 +00:12:16,710 --> 00:12:23,450 +حق يكون صورة يعني بسبب أنه متجمع الصورة و المكانة + +152 +00:12:23,450 --> 00:12:29,990 +هذا اللي هنعرفه بعد شوية بنقول V تساوي on شرط على + +153 +00:12:29,990 --> 00:12:36,090 +I اذا + +154 +00:12:36,090 --> 00:12:40,090 +I تساوي on شرط على V بنبتلهم مكان بعض + +155 +00:12:43,150 --> 00:12:49,110 +and it is equal to 1 over V which is plus 4 + +156 +00:12:49,110 --> 00:12:57,570 +diopter and it is equal to 1 over plus 4 plus + +157 +00:12:57,570 --> 00:13:02,510 +quarter and + +158 +00:13:02,510 --> 00:13:04,910 +the diopter which is one meter minus one in the + +159 +00:13:04,910 --> 00:13:07,290 +position when it comes out it becomes plus quarter + +160 +00:13:07,290 --> 00:13:08,550 +meter plus quarter + +161 +00:13:11,350 --> 00:13:18,830 +الصورة على بعد ربع متر من العدسة التانية، على يمين + +162 +00:13:18,830 --> 00:13:25,130 +العدسة التانية بمقدار ربع متر، هل جيت هنشوف الربع + +163 +00:13:25,130 --> 00:13:34,570 +متر وين؟ الصورةit will be 25 cm on the right side + +164 +00:13:34,570 --> 00:13:38,430 +of the lens I am working between the two blue + +165 +00:13:38,430 --> 00:13:40,950 +lines it has nothing to do with the right or the + +166 +00:13:40,950 --> 00:13:42,830 +left side of the lens it will work with each lens + +167 +00:13:42,830 --> 00:13:46,590 +one by one of course this distance from lens 2 to + +168 +00:13:46,590 --> 00:13:53,430 +lens 3 is 35 cm I want to estimate 25 cmand draw + +169 +00:13:53,430 --> 00:13:58,770 +the lens or draw the picture of mine draw the + +170 +00:13:58,770 --> 00:14:03,670 +picture of mine I will give it another color or + +171 +00:14:03,670 --> 00:14:08,630 +shape and + +172 +00:14:08,630 --> 00:14:11,150 +I will also give it a thickness that makes it + +173 +00:14:11,150 --> 00:14:11,450 +clear + +174 +00:14:18,970 --> 00:14:22,990 +So this is picture number 2, its distance from the + +175 +00:14:22,990 --> 00:14:29,470 +lens is 25 cm 25 cm which is a quarter of a meter + +176 +00:14:29,470 --> 00:14:37,970 +Okay, + +177 +00:14:38,210 --> 00:14:43,400 +now the question that I ask myselfThe total + +178 +00:14:43,400 --> 00:14:45,260 +distance between the second lens and the third + +179 +00:14:45,260 --> 00:14:47,700 +lens is thirty-five centimeters And the picture, + +180 +00:14:48,060 --> 00:14:52,420 +which is clearly dark yellow, is twenty-five + +181 +00:14:52,420 --> 00:14:54,540 +centimeters This picture of the second lens will + +182 +00:14:54,540 --> 00:14:58,900 +be considered an object for the third lens How far + +183 +00:14:58,900 --> 00:15:01,360 +is it from the third lens? The distance between + +184 +00:15:01,360 --> 00:15:03,880 +the two lenses is thirty-five centimeters Minus + +185 +00:15:03,880 --> 00:15:06,560 +twenty-five centimeters, this distance remains ten + +186 +00:15:06,560 --> 00:15:10,100 +centimeters So this distance is ten centimeters + +187 +00:15:15,400 --> 00:15:17,540 +which is the distance between the second image + +188 +00:15:17,540 --> 00:15:21,800 +which is the body of the third lens away from the + +189 +00:15:21,800 --> 00:15:25,860 +third lens 10 cm which is 10 and 25 which is 35 + +190 +00:15:25,860 --> 00:15:30,120 +which is the total distance we return now so that + +191 +00:15:30,120 --> 00:15:32,040 +we do not enter the third lens we still need to + +192 +00:15:32,040 --> 00:15:35,420 +get the transfer magnification number 2 the + +193 +00:15:35,420 --> 00:15:42,540 +transfer magnification which is TM2 equals + +194 +00:15:44,000 --> 00:15:48,700 +u over v u over v is equal to I'm going to take + +195 +00:15:48,700 --> 00:15:50,280 +out the drawing to make it easier for me instead + +196 +00:15:50,280 --> 00:15:52,780 +of going into the numbers here let's say that u is + +197 +00:15:52,780 --> 00:15:56,700 +minus four diopters and v is plus four diopters so + +198 +00:15:56,700 --> 00:16:05,180 +minus four diopters over plus four diopters is + +199 +00:16:05,180 --> 00:16:07,500 +equal to x + +200 +00:16:11,290 --> 00:16:14,510 +minus over plus of course is minus and four over + +201 +00:16:14,510 --> 00:16:17,830 +four is one and the diopter with the diopter goes + +202 +00:16:17,830 --> 00:16:19,810 +away the diopter with the diopter goes away we + +203 +00:16:19,810 --> 00:16:24,370 +will write it all in line one so what does x minus + +204 +00:16:29,640 --> 00:16:31,360 +one, which means that the picture is upside down + +205 +00:16:31,360 --> 00:16:36,080 +compared to its body, compared to its body What + +206 +00:16:36,080 --> 00:16:37,460 +does it mean upside down compared to its body? + +207 +00:16:37,760 --> 00:16:41,120 +Where is the body of this picture? It is the first + +208 +00:16:41,120 --> 00:16:43,500 +picture, so it is upside down compared to what it + +209 +00:16:43,500 --> 00:16:54,060 +isx-1 is upside down x-2 is upside down x-3 is + +210 +00:16:54,060 --> 00:16:59,440 +upside down x-4 is upside down x-5 is upside down + +211 +00:16:59,440 --> 00:16:59,480 +upside down x-9 is upside down x-10 is upside down + +212 +00:16:59,480 --> 00:17:03,840 +x-11 is upside down x-12 is upside down x-13 is + +213 +00:17:03,840 --> 00:17:04,380 +upside down x-14 is upside down x-15 is upside + +214 +00:17:04,380 --> 00:17:05,260 +down x-16 is upside down x-17 is upside down x-18 + +215 +00:17:05,260 --> 00:17:05,300 +down x-21 is upside down x-22 is upside down x-21 + +216 +00:17:05,300 --> 00:17:05,920 +is upside down x-22 is upside down x-21 is upside + +217 +00:17:05,920 --> 00:17:11,180 +down x-21 is upside down x-21 is upside down x-21 + +218 +00:17:11,180 --> 00:17:11,800 +is upside down x-21 is upside down x-21 is upside + +219 +00:17:11,800 --> 00:17:12,100 +down x-21 is upside down x-21 is upside down x- + +220 +00:17:12,120 --> 00:17:15,220 +وأصبح عندي مسألة جديدة جدا، مالهاش علاقة في + +221 +00:17:15,220 --> 00:17:19,320 +المسألتين السابقتين، عندي جسم عبعد عشرة صنطي من + +222 +00:17:19,320 --> 00:17:22,700 +العدسة، هذا الجسم صورة العدسة التانية اللي هو + +223 +00:17:22,700 --> 00:17:28,280 +يعتبر object للعدسة التالتة، بيبعد عشرة صنطي عن + +224 +00:17:28,280 --> 00:17:32,680 +العدسة التالتة، الآن بدنا نجيب، وين الصورة؟ رقم + +225 +00:17:32,680 --> 00:17:35,100 +تلاتة أو اللي هي الصورة النهائية + +226 +00:17:45,990 --> 00:17:52,990 +we say u is equal to negative n over o, we also + +227 +00:17:52,990 --> 00:17:56,670 +say negative because it is divergent, the image is + +228 +00:17:56,670 --> 00:17:58,550 +formed by the accumulation of particles, after the + +229 +00:17:58,550 --> 00:18:01,510 +accumulation of particles, it separates again, we + +230 +00:18:01,510 --> 00:18:04,830 +say negative one because particles are divergent, + +231 +00:18:04,950 --> 00:18:09,610 +one of course has n in the air10cm which is 1 out + +232 +00:18:09,610 --> 00:18:12,490 +of 10 meters, 1 out of 10 meters, all the + +233 +00:18:12,490 --> 00:18:15,610 +measurements are in meters, which is equal to + +234 +00:18:15,610 --> 00:18:19,010 +minus 1 out of 1 out of 10 which is equal to 10, + +235 +00:18:19,330 --> 00:18:22,550 +and the meter in the place is equal to 1 minus 1 + +236 +00:18:22,550 --> 00:18:24,490 +which is equal to minus 10 which is negative. + +237 +00:18:24,830 --> 00:18:30,430 +Quickly, I go and put that I had a light with a + +238 +00:18:30,430 --> 00:18:34,970 +fluctuation of minus 10This can be on the front + +239 +00:18:34,970 --> 00:18:36,170 +surface of the lens + +240 +00:18:46,190 --> 00:18:49,330 +We say that the light reaches from this body + +241 +00:18:49,330 --> 00:18:54,430 +scattered in the amount of 10 diopters. The lens + +242 +00:18:54,430 --> 00:18:56,650 +will change the scattering state to find the + +243 +00:18:56,650 --> 00:19:00,090 +light. It will emit from its total power 14 + +244 +00:19:00,090 --> 00:19:04,310 +diopters plus 14. It will emit plus 10. It will + +245 +00:19:04,310 --> 00:19:07,430 +emit plus 10 to cancel the scattering and to + +246 +00:19:07,430 --> 00:19:10,770 +remove the scattering. It will remain with it 4 + +247 +00:19:10,770 --> 00:19:22,900 +diopters to collect the rays.u plus p equals v u + +248 +00:19:22,900 --> 00:19:29,340 +which is minus ten diopters plus fourteen diopters + +249 +00:19:29,340 --> 00:19:38,620 +equals v so v equals plus four diopters + +250 +00:19:41,860 --> 00:19:49,120 +Diopter, quickly I go and write + +251 +00:19:49,120 --> 00:19:51,960 +on the top of my head plus four diopters which is + +252 +00:19:51,960 --> 00:19:54,960 +the amount which is the fluctuation state of the + +253 +00:19:54,960 --> 00:19:59,040 +light when it leaves the lens it came to the lens + +254 +00:19:59,040 --> 00:20:03,320 +with a fluctuation of ten diopters, minus ten + +255 +00:20:03,320 --> 00:20:06,280 +diopters and left the lens with a accumulation of + +256 +00:20:06,280 --> 00:20:11,770 +four dioptersas long as it is collected, that is, + +257 +00:20:11,870 --> 00:20:14,570 +it has .. that is, or its situation is collective, + +258 +00:20:14,690 --> 00:20:17,390 +that is, it is collecting positive versions or + +259 +00:20:17,390 --> 00:20:20,330 +conversions, it means it will form a picture, my + +260 +00:20:20,330 --> 00:20:22,610 +mission is to know where the picture will form, we + +261 +00:20:22,610 --> 00:20:26,950 +say v is equal to unconditional over i, + +262 +00:20:31,450 --> 00:20:35,630 +then i is equal to unconditional over v + +263 +00:20:38,660 --> 00:20:48,400 +ويساوي Uncharted 1 على V plus 4 ديوبتر ويساوي 1 ع + +264 +00:20:48,400 --> 00:20:50,320 +plus 4 plus ربع + +265 +00:20:53,950 --> 00:20:58,270 +والديوبتر اللي هو متر اصناقس واحد لما بيطلع فوق من + +266 +00:20:58,270 --> 00:21:02,710 +المقام بيصير متر، اذا plus ربع متر هي بعد الصورة + +267 +00:21:02,710 --> 00:21:06,690 +عن العدسة اللي كونتها و اللي هي طبعا العدسة + +268 +00:21:06,690 --> 00:21:13,050 +الأخيرة، اذا الصورة على بعد ربع متر من العدسة + +269 +00:21:13,050 --> 00:21:15,850 +الأخيرة اللي كونتها او من العدسة اللي كونتها، احنا + +270 +00:21:15,850 --> 00:21:18,550 +ملاش في العدسات هاي، لإن احنا عطين خط و بنشتغل مع + +271 +00:21:18,550 --> 00:21:20,550 +العدسة الأخيرة فقط، اذا + +272 +00:21:24,560 --> 00:21:27,100 +before we get to transfer magnification, we need + +273 +00:21:27,100 --> 00:21:30,180 +to put the exact location of the image on a + +274 +00:21:30,180 --> 00:21:38,600 +quarter of a meter from the lens it was formed on + +275 +00:21:38,600 --> 00:21:44,940 +which + +276 +00:21:44,940 --> 00:21:47,700 +is 25 cm which is a quarter of a meter + +277 +00:22:15,130 --> 00:22:19,710 +طبعا هذه الصورة على بعد ربع متر هذه الصورة + +278 +00:22:19,710 --> 00:22:23,710 +النهائية ليش أنا رسمتها مجلوبة؟ هنعرف بعد قليل + +279 +00:22:23,710 --> 00:22:29,110 +ونقول TM3 اللي هو تكبير هذه الصورة بالنسبة للجسم + +280 +00:22:29,110 --> 00:22:34,690 +بتاعها يساوي U على V ويساوي + +281 +00:22:34,690 --> 00:22:38,090 +U من الرسمة minus 10 + +282 +00:22:41,710 --> 00:22:49,830 +diopter by V plus four diopter and + +283 +00:22:49,830 --> 00:22:55,990 +it equals U by V minus ten diopter by plus four + +284 +00:22:55,990 --> 00:23:00,530 +diopter we put X because it's big minus by plus + +285 +00:23:00,530 --> 00:23:04,290 +minus by plus so it gives me minus ten by four + +286 +00:23:04,290 --> 00:23:07,330 +becomes two and a half and the diopter with the + +287 +00:23:07,330 --> 00:23:12,620 +diopter goesthe magnification is twice and a half + +288 +00:23:12,620 --> 00:23:17,320 +times the + +289 +00:23:17,320 --> 00:23:20,060 +magnitude of the object of the object of the + +290 +00:23:20,060 --> 00:23:23,180 +object of the object of the object of the object + +291 +00:23:23,180 --> 00:23:25,620 +of the object of the object of the object of the + +292 +00:23:25,620 --> 00:23:25,780 +object of the object of the object of the object + +293 +00:23:25,780 --> 00:23:26,040 +of the object of the object of the object of the + +294 +00:23:26,040 --> 00:23:26,080 +of the object of the object of the object of the + +295 +00:23:26,080 --> 00:23:26,100 +of the object of the object of the object of the + +296 +00:23:26,100 --> 00:23:26,120 +object of the object of the object of the object + +297 +00:23:26,120 --> 00:23:27,260 +object of the object of the object of the object + +298 +00:23:27,260 --> 00:23:29,320 +of the object of the object of the object of the + +299 +00:23:29,320 --> 00:23:29,940 +object of the object of the object of the object + +300 +00:23:29,940 --> 00:23:29,960 +of the object of the object of the object of the + +301 +00:23:29,960 --> 00:23:30,140 +of the object of the object of the object of the + +302 +00:23:30,140 --> 00:23:32,160 +object of the object of the object of the object + +303 +00:23:32,160 --> 00:23:36,800 +of the object of the objectI will multiply Tm1 by + +304 +00:23:36,800 --> 00:23:56,360 +Tm2 by Tm3 by Tm3 we say as follows Tm + +305 +00:23:56,360 --> 00:24:04,010 +total is equal to Tm1 which is minus two out of + +306 +00:24:04,010 --> 00:24:09,130 +ten times + +307 +00:24:09,130 --> 00:24:18,570 +T M two minus one times T + +308 +00:24:18,570 --> 00:24:26,770 +M three which is minus two and a half which + +309 +00:24:26,770 --> 00:24:27,230 +equals + +310 +00:24:31,750 --> 00:24:37,430 +minus in minus in minus minus in minus in plus and + +311 +00:24:37,430 --> 00:24:40,470 +plus in minus the answer is minus of course x + +312 +00:24:40,470 --> 00:24:44,750 +because it's big minus when we multiply minus in + +313 +00:24:44,750 --> 00:24:47,210 +minus it's plus and when we multiply plus in minus + +314 +00:24:47,210 --> 00:24:52,510 +it's minus now two out of ten times oneit remains + +315 +00:24:52,510 --> 00:24:54,290 +2 out of 10 because anything that is multiplied by + +316 +00:24:54,290 --> 00:24:58,010 +1 remains as it is 2 out of 10 2 out of 10 + +317 +00:24:58,010 --> 00:25:03,930 +multiplied by 2.5 is equal to half because 25 + +318 +00:25:03,930 --> 00:25:08,470 +multiplied by 2 is equal to 50 and I have a + +319 +00:25:08,470 --> 00:25:10,390 +decimal here after a number and a decimal here + +320 +00:25:10,390 --> 00:25:12,950 +after a number 50 after two numbers so it is equal + +321 +00:25:12,950 --> 00:25:18,110 +to half x minus half what is the meaning of the + +322 +00:25:18,110 --> 00:25:24,840 +term total x minus halfيعني الصورة النهائية + +323 +00:25:24,840 --> 00:25:34,660 +بالنسبة لل object الأصلي، ال object الأول مجلوبة، + +324 +00:25:34,660 --> 00:25:38,320 +هاي الصورة النهائية، بالنسبة لل object الأصلي + +325 +00:25:38,320 --> 00:25:46,190 +مجلوبة و ارتفاعها جد نص ارتفاعهSo that's how the + +326 +00:25:46,190 --> 00:25:47,890 +problem was solved with me, which means if the + +327 +00:25:47,890 --> 00:25:51,130 +object is 40 cm high, the final picture is upside + +328 +00:25:51,130 --> 00:25:54,010 +down and its height is 20 cm. That's how the + +329 +00:25:54,010 --> 00:25:57,270 +problem ends, and now I cancel .. sorry .. I + +330 +00:25:57,270 --> 00:26:01,290 +cancel the constants to have the problem .. I mean + +331 +00:26:01,290 --> 00:26:05,850 +.. or based on the assumption that I don't cancel + +332 +00:26:05,850 --> 00:26:07,350 +the constants because in order for the solution + +333 +00:26:07,350 --> 00:26:08,690 +not to mix with each other + +334 +00:26:12,110 --> 00:26:15,690 +بحط الفواصل بس ببعدها عن رسمة العدسة. هيك الحال + +335 +00:26:15,690 --> 00:26:19,770 +بيكون منتظم و مثالي و هيك انتهت المسألة و يعطيكم + +336 +00:26:19,770 --> 00:26:23,230 +العافية و السلام عليكم و رحمة الله وبركاته + diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/x12EAA_ZZYA.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/x12EAA_ZZYA.srt new file mode 100644 index 0000000000000000000000000000000000000000..cb7ff9475e53ce044250942c8a499bca2bd4ff7f --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/x12EAA_ZZYA.srt @@ -0,0 +1,167 @@ +1 +00:00:01,040 --> 00:00:04,560 +بسم الله الرحمن الرحيم عنا مسألة بدنا نحسب + +2 +00:00:04,560 --> 00:00:07,540 +الvergence لل light و بدنا نحسب ال reduced + +3 +00:00:07,540 --> 00:00:12,080 +vergence عندي single refracting surfaceThe image + +4 +00:00:12,080 --> 00:00:15,400 +will be formed inside the glass at this point, the + +5 +00:00:15,400 --> 00:00:19,960 +light came from the object, now it did refraction + +6 +00:00:19,960 --> 00:00:23,440 +or transmission, it changed its path and broke the + +7 +00:00:23,440 --> 00:00:26,180 +light, the light started to gather, when it + +8 +00:00:26,180 --> 00:00:29,520 +reached this red line, at this distance, it was + +9 +00:00:29,520 --> 00:00:32,040 +left to reach the image to form the image, there + +10 +00:00:32,040 --> 00:00:33,600 +is a way to form the image, it is left with a + +11 +00:00:33,600 --> 00:00:36,140 +quarter of a meter, twenty-five centimeters, you + +12 +00:00:36,140 --> 00:00:39,220 +see at this point in the glass, how much is the + +13 +00:00:39,220 --> 00:00:41,320 +divergence of the light, we say as follows, + +14 +00:00:57,400 --> 00:00:59,960 +convergent light we give it plus if it is + +15 +00:00:59,960 --> 00:01:03,620 +divergent we give it minus plus one over the + +16 +00:01:03,620 --> 00:01:06,240 +distance which is twenty five centimeters which is + +17 +00:01:06,240 --> 00:01:10,440 +a quarter of a meter a quarter of a meter is equal + +18 +00:01:10,440 --> 00:01:18,410 +toone over a quarter equals plus four in meters + +19 +00:01:18,410 --> 00:01:31,730 +minus one meters + +20 +00:01:31,730 --> 00:01:32,990 +minus one + +21 +00:01:49,820 --> 00:01:58,660 +4 in meters minus 1 is equal to + +22 +00:01:58,660 --> 00:02:04,040 +plus 4 diopters 4 diopters so the divergence at + +23 +00:02:04,040 --> 00:02:07,460 +this point or at this distance from the image the + +24 +00:02:07,460 --> 00:02:10,200 +divergence increased by plus 4 diopters which + +25 +00:02:10,200 --> 00:02:12,500 +means that the light is collected and the amount + +26 +00:02:12,500 --> 00:02:15,900 +of collection is 4 diopters now we want the + +27 +00:02:15,900 --> 00:02:16,720 +reduced divergence + +28 +00:02:21,090 --> 00:02:24,530 +is equal to the versions that came out with us + +29 +00:02:24,530 --> 00:02:27,470 +which is plus 4 diopter multiplied by n the + +30 +00:02:27,470 --> 00:02:29,710 +refractive index of the substance through which + +31 +00:02:29,710 --> 00:02:33,390 +the light passes which is the glass which is + +32 +00:02:33,390 --> 00:02:40,350 +refractive index 1.5 so 4 plus + +33 +00:02:40,350 --> 00:02:44,690 +4 diopter multiplied + +34 +00:02:44,690 --> 00:02:56,770 +by 1.5it's equal to plus 6 diopters so the + +35 +00:02:56,770 --> 00:02:59,570 +vergence is plus 4 diopters and the reduced + +36 +00:02:59,570 --> 00:03:02,330 +vergence has a higher numerical value because the + +37 +00:03:02,330 --> 00:03:04,610 +refractive index is more than one so when we + +38 +00:03:04,610 --> 00:03:07,310 +multiply any value more than one, the value + +39 +00:03:07,310 --> 00:03:10,030 +increases completely so the vergence is plus 4 + +40 +00:03:10,030 --> 00:03:12,630 +diopters and the reduced vergence is plus 6 + +41 +00:03:12,630 --> 00:03:14,970 +diopters in this case and may God bless you and + +42 +00:03:14,970 --> 00:03:15,670 +peace be upon you diff --git a/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_postprocess.srt b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..cf13f9f5f5c8c456df8f0d53fb4a21b72641c615 --- /dev/null +++ b/PL9fwy3NUQKway0xLRTe7OlRxcQic7R2s-/xlYGNb6u7Qc_postprocess.srt @@ -0,0 +1,80 @@ +1 +00:00:01,010 --> 00:00:05,130 +بسم الله الرحمن الرحيم.طبعا هذا ال video ملحق + +2 +00:00:05,130 --> 00:00:09,850 +لمحاضرة واحد وعشرين بس عشان نبين شيء واحد معين انه + +3 +00:00:09,850 --> 00:00:14,310 +احنا بنستعمل ال para axial ray ال para axial ray + +4 +00:00:14,310 --> 00:00:17,970 +زاوية دخوله لل glass او لل spherical reflecting + +5 +00:00:17,970 --> 00:00:21,470 +surface زاوية صغيرة اللي هي θ I اللي بناشر عليها + +6 +00:00:21,990 --> 00:00:26,050 +and the angles alpha, gamma and P3 appear in the + +7 +00:00:26,050 --> 00:00:29,350 +picture as if this is a paraxial ray with the red + +8 +00:00:29,350 --> 00:00:32,930 +color as a paraxial ray close to the optical axis + +9 +00:00:32,930 --> 00:00:35,590 +in order to make the picture clear and make these + +10 +00:00:35,590 --> 00:00:39,710 +angles visible, the picture is rotated vertically + +11 +00:00:39,710 --> 00:00:46,990 +in order to make the angles appear with meIt + +12 +00:00:46,990 --> 00:00:50,210 +doesn't mean that it's a big angle, but it's just + +13 +00:00:50,210 --> 00:00:53,390 +for clarification. This is a very small angle, all + +14 +00:00:53,390 --> 00:01:02,310 +of them are small angles, but in the drawing here, + +15 +00:01:02,410 --> 00:01:07,130 +the rectangle or the rectangle, we do this case to + +16 +00:01:07,130 --> 00:01:09,550 +clarify, to be able to deduce the equation of the + +17 +00:01:09,550 --> 00:01:13,440 +lensmaker's equationالحقيقة الأمر هي يعني زوايا + +18 +00:01:13,440 --> 00:01:17,060 +صغيرة جدا حتى ربما تكون أصغر من المنظر اللي احنا + +19 +00:01:17,060 --> 00:01:20,600 +شايفينه بالشكل هذا ويعطيكم العافية والسلام عليكم + +20 +00:01:20,600 --> 00:01:22,420 +ورحمة الله وبركاته +