Photographic objective of the extended gauss type
United States Patent [191 Behrens et a1.  
  PHOTOGRAPHIC OBJECTIVE OF THE EXTENDED GAUSS TYPE [75] Inventors: Karl-Heinrich Behrens,  
 Konigsbronn; Erhard Glatzel, Heidenheim, both of Germany I 73] Assignee: Carl Zeiss Stiftung d/b/a Carl Zeiss Oberkochen. Germany [22] Filed: June 25, 1973 [21] Appl. No.: 373,437  
 [30] Foreign Application Priority Data June 30 1972 Germany .1 2232101 [52] U.S. Cl. 350/214, 350/215 [51] Int. Cl. G02b 9/00 [58] Field of Search 350/214, 215  
 [56] References Cited UNITED STATES PATENTS 3.451.745 6/1969 Kazamaki ct all 350/215 3.552.829 1/1971 Marquardt 1. 350/215 3.738.736 6/1973 Shimizu 350/215 1 Apr. 1, 1975 3,743,387 7/1973 Nakagawa 350/215 FOREIGN PATENTS OR APPLICATIONS 1.277.580 9/1968 Germany 350/215 Primary E.raminer-Vincent P. McGraw Assismnr E.\&#39;aminerC0nrad Clark Attorney, Agent or Finn-Stonebraker &amp; Shepard [57] ABSTRACT A high speed photographic objective of the extended Gauss type, having seven lenses arranged in two groups or members the forward member having three lenses all air spaced from each other, the rear member having four lenses. two of which are cemented to each other, this cemented component and the other two lenses of the rear group all being air spaced from each other. Various limits are stated for the relationship of the various lenses to each other. and if these limits are followed in designing the lens, an objective of excellent quality can be obtained. and one of relatively high speed, such as f/l.5 or faster. Five specific examples are given.  
 6 Claims, 2 Drawing Figures PHOTOGRAPHIC OBJECTIVE OF THE EXTENDED GAUSS TYPE BACKGROUND OF THE INVENTION Many photographic objectives of the extended Gauss type are known in the art. The present invention relates particularly to the sub-type or sub-genus in which there are seven individual lens elements, three disposed in front of and four disposed behind the central air space which serves as the location for the stop or diaphragm if one is used, the three lens elements of the front memher being uncemented and air spaced from each other, the first, second, fifth, sixth, and seventh being collecting or positive lenses, whereas the third and fourth elements are diverging or negative lenses. The fourth and fifth elements are cemented to each other, all of the other components being air spaced.  
  The sub-type to which the present invention relates is further characterized by the fact that the refractive power b of the first lens surface and the refractive power h of the third lens surface are so related to each other that b is greater than 1.55 b and less than 3.50 b Also the refractive power sum :1) of the surfaces surrounding the air space [3 between the second element and the third element is negative.  
  Prior art to be considered in connection with the present invention includes German Pat. No. 1,268,873 (filed December 1967) and German Pat. No. 1.277.580 (filed January 1966) and its related British Pat. No. 1,120,335, and German published application (Auslegeschrift) 1,547,118 (filed September 1966). The following patents and publications may also be considered, although they fall outside of the sub-type above defined: German Pat. No. 1,170,157; German Pat. No. 1,269,385; German auslegeschrift 1,472,185; U.S. Pat. No. 2,735,340; and U.S. Pat. No. 2,895,379.  
  It is an object of the present invention to provide an improved photographic objective falling within the above mentioned sub-type or sub-genus of lenses of the extended Gauss type. This object is well attained by the present invention, and the lens of the present invention is a surprising and significant improvement and progressive further development of the Gauss sub-type mentioned.  
 SUMMARY OF THE INVENTION When dealing with a photographic objective of the particular sub-type above mentioned, it is found that superior results can be achieved if the lens is so designed that all of the following conditions are simultaneously met. These conditions relate in part to the air lenses in the system, this expression meaning the air spaces between successive lens elements, some of which spaces form divergently acting or negative air lenses, and other spaces form collectingly acting or positive air lenses. The conditions to be simultaneously met are:  
  A the surface refractive power sum (1) p of the second inner air lens B is, in its negative value, between the limits of 0.323 times and 0.543 times the equivalent refractive power I of the total objective.  
  A The surface refractive power sum da of the third inner air lens constituting the central space or central vertex distance CS is also negative, and is so dimensioned that d) is between the limits of 12.50 times and 8.090 times the above mentioned refractive power 13,. The refractive power sum d) a of the two lens surfaces surrounding the air space a between the first and second lens elements is within the limits of 1,380 times and 1,925 times the equivalent refractive power l of the total objective.  
  B The refractive power sum (1) 8 of the two lens surfaces surrounding the air space between the last two lens elements (elements 6 and 7) is within the limits of 1.285 times and 1.805 times the above mentioned equivalent refractive power 1 B The sum of the surface refractive power sums d) it d: 6 of these two air lenses on and 8 is within the limits of 2.665 1 and 3.730 (I C. The ratio or quotient O of the first air lens refractive power d: a divided by the last air lens refractive power 5 8 is within the limits of 1.310 and 0.944.  
  These desirable relationships explained in foregoing paragraph A through C may be expressed more concisely by the following mathematical formulae. The right hand column indicates the corresponding paragraph in the above explanation.  
  1n the foregoing table, as already explained, the quotient O d) I d: 6 and 1 signifies the paraxial equivalent refractive power of the total objective or entire lens system.  
 BRIEF DESCRIPTION OF THE DRAWlNGS FIG. 1 is a lens diagram illustrating a lens according to a preferred embodiment of the invention; and  
  FIG. 2 is a similar diagram in somewhat simplified form, showing particularly the reference characters used for designating the various air lenses, formed by the air spaces between adjacent lenses.  
 DESCRIPTION OF THE PREFERRED EMBODIMENTS According to this invention, the objective has seven individual lens elements arranged in the manner above set forth in the introductory description of the sub-type to which the invention relates, and having the refractive powers above mentioned in connection with the discussion of the sub-type. In addition, the refractive powers are so distributed as to comply with all of the conditions stated in the above paragraphs respectively identified as A,, A B B B and C. This distribution of the refractive powers is found to give a surprising and significant increase in the power of the lens system, particularly in the lateral parts of the field of view.  
  The dimensioning of the lens elements in accordance with the above conditions A, and A gives a partial relief of the overcorrecting effect of the central air lens by a balanced shifting of this effect to the preceding air lens whereby the spherical aberrations of higher order can be reduced in a particularly simple manner. By complying with the conditions B B and B in combination with each other and with the conditions A, and  
 A the betterment or enhancement of the imaging power beyond the central field of view is extended to the margin of the image area, giving a very significant increase in the imaging power not only in the near-axial area but also in the zonal and marginal image area, so that the total useful size can be substantially increased or opened up according to the wishes of the operating photographer.  
  Moreover, at the same time, by complying with the condition C with regard to the quite specific relative distribution of the refractive powers of the first air lens a and the last air lens B the asymmetrical error portions of the coma errors of wide-open inclined beams in the lateral image field are strongly reduced. Thus by the concurrent compliance with all of these conditions A, through C, a significantly improved lens system useful as a photographic objective is produced, with significant increase in the imaging power without the need for using extreme shapes or aspherical surfaces or for using extreme glass types.  
  Five specific embodiments of lens systems or objectives according to the present invention are set forth in the five tables of data which follow. In all of these ta bles, linear dimensions are given with reference to the equivalent focal length of the objective as a unit. That is, the linear dimensions of thicknesses, spacings, and radii are not stated as fixed linear units such as millimeters, but are stated as proportions of the equivalent focal length (F) of the entire system, the equivalent focal length being regarded as unity or 1.0000.  
  As customary in patent literature and as seen at a glance in FIG. I, the lens elements are consecutively numbered from front to rear and are designated as L L L etc., to L For brevity, the lens elements may at times be referred to merely by their respective numerals I, 2, etc., without using the letter L. In the data tables, the radii of curvature of the respective lens surfaces are indicated by the letter R with a subscript indicating the number of the particular lens element, with a prime for the rear surface of the element, the unprimed letter indicating the front surface. Thus, for example, R indicates the front surface of lens element L and R&#39; indicates the rear surface of the same lens element. This will be readily apparent from studying the data tables in connection with the illustration in FIG. I.  
  The axial thicknesses of the respective lens elements are indicated, both in the tables and in FIG. 1, by the letter d with a subscript identifying the particular lens element. The axial spacings between lens elements are indicated by the letter s with a subscript indicating the number of the lens element in front of and the lens element behind the particular space. Thus for example s indicates the space between element 2 and element 3. In addition, the spaces between successive lens elements, when considered from the standpoint offorming air lenses rather than from the standpoint of axial spacing, are designated by consecutive Greek letters as shown in FIG. 2, except for the air lens formed by the central space between the front member and the rear member of the lens, which central space is indicated in FIG. 2 (and in various parts of the specification) as CS. The over-all length of the complete lens, from the front vertex of element 1 to the rear vertex of element 7, may be designated as OAL. as shown at the bottom of FIG. 2.  
  The numerical tables also give, in the column headed N. the index of refraction of the glass used for each lens element. If the objective is intended to be used only for a very narrow spectral range, the indicated refractive index relates to this very narrow range. When the objective is to be used for imaging objects covering a substantial spectral range, then an achromatism over the wider spectral range will be required, for which purpose the glasses are selected in a manner known per se, so as to have indices of refraction and dispersive indices (Abbe numers) appropriate to the desired spectral range, as well understood by those skilled in the art. In the course of the initial design or rough design of an objective according to the present invention, it is satisfactory to use a standard refractive index, such as the index based on the yellow d-line of the helium spectrum, having a wave length of 5876 Angstrom units. The refractive index based on this line is shown in many glass catalogues of manufacturers of optical glasses.  
  In Flg. l, the light is assumed to come from the left toward the right, in the conventional manner normally used in lens diagrams. In the tables, plus values of R indicates surfaces convex toward the incident light, and minus values of R indicates surfaces concave toward the incident light. Infinity values of R indicate plane surfaces. As above indicated, the column headed N in the tables gives the index of refraction. The Abbe number or index of dispersion is given in some of the tables in the column headed V, but is omitted in other tables as being unnecessary.  
  In the lower part of FIG, 1 various reference characters are used which will now be explained. The Roman numerals are employed for numbering air spaced components consecutively from front to rear. Since each individual lens element is air spaced except for elements 4 and 5 which are cemented together, it follows that elements 4 and 5 together constitute air spaced component IV, while lens element 6 thus becomes component V, and element 7 becomes component VI. The front member of the system, consisting of the components I, II, and III collectively, is designated by the letter V, standing for the German word Vorderglied.&#34; The rear member, consisting of the components IV, V, and VI collectively, is designated by the letter H, standing for the German word Hinterglied.  
  As further shown near the bottom of FIG. 1, the front member V may be said to be made up of a front positive lens P, consisting only of the lens element L or component I, plus a negative combination N made up of components II and III (lens elements L and L The rear member H of the system may be said to be made up of a negative combination N (component IV, lens elements L and L plus a positive combination P made up of components V and VI (lens elements L and L having at least two collecting lenses spaced in air.  
  From the tables giving numerical data for the five specific examples, it can be seen that the front positive P can be given a strongly unequal-sided biconvex design or a meniscusshaped design, and also, as the inner limit case thereof, can be given the form of a planoconvex lens. Also, the second negative combination N can have both its lenses L, and L of meniscus shape and respectively biconcave and biconvex. Moreover, the adjacent surfaces of the two lens elements L and L constituting the negative combination N can be designed as a plane surface pair rather than having the 5 6 curved shapes given in the various tables. The possibil- Table 2 ity of using plane surfaces for the junction between the (Example 21 elements L and L is believed to be so obvious to a Lens jzw N p i 5 skilled lens deslgner once he has fam1l1ar1zed himself m p mg with the present disclosure, that it is deemed unneces- 5 L R1: d 0 HM n z 1 7m sary to include a specific example wherein the surfaces a (plum) R&#39; and R are plane. R 0 870 m A few introductory remarks regarding the various L2 L780 speclfic examples w1ll be g1ven, before reaching the nu- R 1.100 merical tables themselves. H) R 1020 Example 1 (numerical data in Table 1) relates to a 1. d;,=0.045 n 1715 rough form of an objective according to this invention, R s S y 0 G37 which has been pre-corrected mono-chromatically in the range of the third order. It has a relative aperture L R, 00 4 4= 1735 of f/1.5. The initial positive portion P is of biconvex l5 sF000 shape. ln the numerical data in Table l, the thicknesses 5 7-500 and spacings and the radii are carried out to three deci- 0.600 L780 ma] places, but it is desired to add that the space s be- S 0.002 tween the first two lens elements preferably has an L RIF-3500 d 20090 n l 745 exact value of 0.00098925 F, and the radius R prefer- (1620 ably has an exact value of 2.2050l777 F. R 3 600 ir-F 0 In example (data in Table 2) the from positive part LT d7 :0059 7 P or L is des1gned as a plano-convex lens. This 1s also R&#39; 2.45439 I a rough form. pre-corrected mono-chromatically, and F: S =o-6996 OAL gives an aperture off/1.5. m 3  
  Example 3 (data in Table 3) also represents a mono- (Exam le 3) chromat ically precorrected rough form in which the Lens Rad Thicknespses N mner ne1ghbor1ng surface pair (R&#39; and R )1n the negaand Spacings tive combination N; which follows the stop is provided RI with a pos1t1ve sign of d1rect1on. l I 1= m 1-720 Both example 4 (data in Table 4) and example 5 R 82:00010 a I (data in Table 5) are fine-corrected embodiments of R.,=+0.430 the invention, as distinguished from the rough forms in L! 0 650 :01000 the three preceding examples. Both of these fine- S2 00280 corrected forms have a relative aperture of f/l.4 and L Rn=+0-95O 2 are provided for use with ordinary color photography. 1 0.307 40 Accordmgly. the glass properues are shown 1n the tas .,=s,;., =l).2R bles not only by their indices of refraction but also by R u&#39;347 L, d -0.0240 m- L730 the1r indices of color d1spers1on or Abbe numbers. the R. 7.500 latter being in the columns headed V. 40 R 7 500 4a ln all examples, the equivalent focal length of the L5 am L790 total ob ective 1s F LOOOO, and this 1s the umt to R 5= 1 which all of the linear dimensions are related. L750 Table 1 (Example 1) Lens Radii Thicknesscs N and spacings R, [.160 L, d, 0.093 n, 1.717  
  s (HIUI (air lens 0) R 0.405 1. 0 00130 u 1.784  
  s (H127 (air lens [3) R L600 L d =(l,l)-l5 n,-, 1.699  
  s s 0.148 (air lens CS) R. 0.30) L. 0. =0025 n, 1.762  
  s (H11) (cemented) R; 8.600 I.,-. d,,=0.1l0 n,,=1.788  
  s 0.00] [air lens 7) R. 8,600 L 0.. =00a7 n 1.757  
  s 0.005 (air lens 5| R, 8,600 1.; d; 0.053 n, L749 R,- 3.305 1,0000 s an (L703 0A1. 0.825  
  Referring to the foregoing specific examples in tables 1 through 5, and referring to the conditions or requirements set forth in the foregoing paragraphs identified as A A 8,, B B and C. it is desired to show how each of the specific examples fulfills those conditions. The values referred to in the paragraphs A through C. for each of the objectives in the five specific examples,  
 are given in the following table.  
  Table 3-Contmued (Example 3) Lens Radii Thickncsses N and Spacings L d, 0.1000 n 1.790  
  s 0.0030 R 3.1993 L; d, 0.0545 n; 1.740  
  R, 2.6876 F T0000 5&#39; a: 0.7l ll OAL =08245 Table 4 (Example 4! Lens Rudii Thickncsses and Spucings R +1 .()3793 L d 0.098094 I.7l700 47.99  
  0.010372 R. 0.43740 L 0. |07946 L788. 47.37  
  0.026849 R 1.07497 1. d: 0.02489] I.6XX93 3|.l7  
 R3. (HI-$67 CS 0.272222 R, 0.35410 L L1, 0.026556 |.71830 28.68  
  s 0.00 R; +24.-92I L,, a. 0.110507 1.720431 47.37  
  5 0.003240 R.,= 2.77625 L, d, 0.090000 1.788. 47.37  
  R 4.0335 F |.00000 s 0.69672 OAL 0.824133 Table 5 (Example 5) Lens Rudii Thicknesses V and spacings R 0.80904 L. d,=().l0l82l I.7l700 47.99  
  S: 0.001 177 R- 0.43607 L, d- 0.097] 13 l.7883l 47.37  
  0.03 782 R, 0.94I72 L d;,= 0.013739 L68893 3l.l7  
  CS x 0.285453 R. 0.34637 L d, 0.022954 L72830 28.68  
  5 0.00 R 7.40043 L d 0.102998 L7883l 47.37  
  5;, 0005689 R.; l .7435: L. d. 0.087696 [.7883l 47.37  
  5, 0.002550 7 3.29359 L; d; 0.056698 l.74400 44.77  
  R; 2.6l6l6 F l.00000 s w 0.70993 OAL 0.819670 Table 6 face of element 2) is within the range limits of 1.55 and 3.50 times the refractive power of the first lens E Future Value. surface (front surface of element 1);  
  The refractive power sum of the surfaces surrounding A C 5 second air lens formed b the air s ace between 1 0.42&#39;00 11 9.14mi 418 1.1843 2 d 3 f t 2 d 2 3551 q: 11,8035 ip 1,0649 elements an (rear sur ace 0 e emen an 3 0,4x91 1 8.15971 41B 25 front surface of element 3) is negative; and also 2 jk fqg s A,. the surface refractive power sum of said second air lens according to Its negative value is within the Exflmplv B2 range limits of 0.323 and 0.543 times the equiva 1 1 x50 4) 1.3383 1: +2.9233 1 lent refractive power of the entire objective; 2 1 5000 o 1.4080 2.9086 (b ft if 3 I 7148 q) 246 a) +3 1394 4) A the surface refractive power sum 0 he third a 4 7335 q: 1,4977 4: +3 2312 (P lens formed by the air space between elements 3 5 I (1836 16211 i 3047 and 4 is also negative and is within the range limits of 12.50 and 8.090 times the refractive power of said second air lens; 8,. the refractive power sum of the two lens surfaces It will be seen that in all of the five specific examples. ding th first air lens formed by the air all of the values come well within the ranges specified space between elements 1 and 2 is within the range in paragraphs A, through C. However, it may be added limits of 1,380 and 1.925 times the eequivalent refor the benefit of those wishing to design other specific fractive power of the entire objective; examples of lenses in accordance with the teaching of B the refractive power sum of the two lens surfaces the present invention, that a conventional tolerance surrounding h mo t ai lens formed by the air range of about plus or minus 10 percent above or below space b tw l ts 6 nd 7 is within the range the range limits specified in foregoing paragraph r limits of 1.285 and 1.805 times the equivalent rethrough C is ordinarily acceptable. fractive power of the entire objective;  
  What is claimed is: B the sum of the refractive power sums of said first 1. A photograph fi 0bje e O the tended Gal-18S air lens and said rearmost air lens is within the type comprising seven lens elements arranged three 1n range limits of 2.665 and 3.730 times the equivafront of a stop space and four behind said stop space. lent refractive power of the entire objective; and the elements. as numbered consecutively from front to C, the quotient of the refractive power sum of said rear. and their l i n hip o each Other. having subfirst air lens divided by the refractive power sum of stantially the Characteristic Set forth belOWi said rearmost air lens is within the range limits of Elements 1. 2, and 3 are uncemented individual ele- 1 310 and 0 944 me ts; 2. An objective as defined in claim 1, wherein the Elements and 7 are Collecting e characteristics of the lens elements and their spatial re- Elemcnts 3 and 4 are di gmg se lationship to each other are substantially in the propor- The refractive power of the third surface (front surti s indi ated by the data in the following table:  
 Lens Radii Thickncsses N and Spacings R, 1160 L, t1, =0.093 n, 1.717  
  s,. 0.0111 (air lens a) R. 0.4 15 L2 0 0.130 n 1.784  
  0.027 (air lens B) R 1.600 1.. d 0.045 n..= 1.699  
  s s 0.248 (air lens (S1 R, 0.360 l. d,=ll.()25 n,= 1.762  
  s (1.01) (cemented) R,-, 11.600 L,, =0.110 .,=1.7s1  
  s 0.001 lair lens 71 R, 8.000 I. d (1.087 n 1.757  
  s 0.005 (air lens 51 R 8.600 1. 11 0.053 n.- 1.749  
 wherein all linear dimensions of radii. thicknesses. and spacings are expressed in proportion to the equivalent focal length of the entire objective. which is considered as unity. and the reference letters and numerals have the respective meanings explained in the foregoing specification. H  
 3. An objective as defined in claim 1, wherein the T f* N and Spaungs character1st1cs of the lens elements and their spat1al relationship to each other are substantially in the propor L 1 (H480 d n m 1 720 r l 1 3 t1ons indicated by the data 1n the followmg table. 5380 8.. 0.0010 R 0.430 L. 0.. 0.1000 n 1.790 Lens Radii Thicknesscs N R 2 0&#39;65&#34; 521 u g() and Spaclngs R3 0350 L. d- 00240 1.690 R.=+1.100 RY-I=+O3O7 .1 n. L. d. 0.100 r1 1.720 1 2370 R&#39;.=u:(plancl R.=0.347 I 12 (10111 L. [1. 0.0240 n. 1.730 R-,=+U.S2(l R&#39;4=+7 5()() 1.. d. 0.133 n 1.780 S 0,00  
  -1:. 0.030 1... d. 0.1000 n 1.790 R =+2ll2U R&#34;= 0605 L. a 0.045 n. 1.715 S 0 0030 R&#39;..=+ll.350 750 Hi 11 .1 1.. a. 0.1000 n. 1.790 R. 0.365 R.. 0.507 L. a. 0.030 n. 1.785 SW 00030 3- 1.. d, 0.0545 n 1.740 R. 7.500 R. 2.6876 L. d,-,=(l.ll5 n 1.780  
  s, 0.002 R. 3.000 L.. d. 0.090 n. 1.745 I n R.. 0.020 7 wherem all linear dimensions of radn. th1cknesses, and 600 spacings are expressed in proportion to the equivalent L. 11. 0.059 n.- 1.745 focal length of the entire objective, which is considered 245439 as unity, and the reference letters and numerals have the respective meanings explained in the foregoing specification.  
  5. An objective as defined in claim 1, wherein the 40 characteristics of the lens elements and their spatial rewherein all linear dimensions of radii, thicknesses, and lationship to each other are substantially in the proporspacings are expressed in proportion to the equivalent tions indicated by the data in the following table:  
 Lens Radii Thickncsscs N V and Spacings R. 1.03793 L. d. 0.098094 1.71700 4799 5.. 0.010372 R. 0.43740 L. a. 0.107940 178831 47.37  
  5 0.0201149 R 1.07497 L. tl; =0.024192 1.68893 3117 CS s... 0.272222 R. 035- L. d. 0.020550 1.72830 2808 5.. 0.00 R +24.4021 L. a. 0.101507 1.78831 47.37  
  5,... 0.003249 R. 2.77025 L.. d.. 0.090000 1.78831 47.37  
  4. An objective as defined in claim 1, wherein the characteristics of the lens elements and their spatial relationship to each other are substantially in the proportions indicated by the data in the following table:  
 focal length ofthe entire objective. which is considered as unity. and the reference letters and numerals have the respective meanings explained in the foregoing specification.  
 wherein all linear dimensions of radii, thicknesses. and spacings are expressed in proportion to the equivalent focal length of the entire objective. which is considered as unity, and the reference letters and numerals have wherein all linear dimensions of radii, thicknesses. and spacings are expressed in proportion to the equivalent focal length of the entire objective, which is considered as unity, and the reference letters and numerals have the respective meanings explained in the foregoing specification.