Compact zoom lens
DETAILED DESCRIPTION OF THE INVENTION 
     This invention relates to a compact telephoto zoom lens which is, for example, of the class of F number 4, 70 mm - 200 mm, and in which aberration is satisfactorily compensated over the whole range of focal length. 
     The conventionally known telephoto type lens as typified by U.S. Pat. Nos. 3,336,094 and 3,615,125 is composed of a magnification varying part which comprises three lens groups arranged in order of, from the object side, a positively refractive lens group, a negatively refractive lens group and a positively refractive lens group and a fixing part (or an image forming lens) which comprises two lens groups. The second lens group is moved for varying the focal length and, concurrently with that, the third group is moved to compensate the consequent variation of the focal point. 
     In this type of zoom lenses in general, arrangement for a greater magnification varying ratio or a greater aperture ratio results in an increase in the length of the whole lens system or in the diameter of a front lens and such a zoom lens thus comes to present a problem in terms of compactness. The present invention is directed to the solution of this problem. 
     It is therefore a principal object of this invention to provide a zoom lens wherein the ratio of the length from the first lens plane to the focal plane, i.e. a telephoto ratio, is arranged to be about 1 and yet excellent compensation for aberration is ensured. 
     SUMMARY OF THE INVENTION 
     In such a compact zoom lens, it is important, first of all, to select suitable arrangement of refractive powers. Without suitable arrangement of such, aberration can not be compensated with any lens configuration. In a zoom lens of the type wherein the second lens group is moved in the direction of an optical axis and the positive third lens group is concavely moved relatively to the object as in the case of this invention, the total length of the zoom lens can be reduced by lessening the moving extent of the second group, by making the magnification varying part smaller and by making the fixed part (the fourth and fifth groups) into a telephoto type. With the magnification varying part made to be smaller, the refractive power of each of the first, second and third groups is thereby strengthened. This is detrimental to the compensation for aberration and there is a certain limit to such arrangement. As for making the fixed part into a telephoto type, there is also a certain limit thereto, because it results in a decrease in the telephoto ratio of the fixed part and it also makes the Petzval&#39;s sum a great negative value. In view of such limitations, when the magnification varying part is minimized, the refractive power arrangement and the lens configuration become important. The object of this invention is therefore attained with the refractive power, lens configuration and refractive index of the fourth group in the fixed part made to be of suitable values for adequate compensation of aberration. Further objects, advantages and features of this invention will become apparent from the following preferred embodiments taken in connection with the accompanying drawings. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a sectional view illustrating the embodiment examples 1 and 2 of the invention. 
     FIG. 2 is a sectional view illustrating the example 3 of the invention. 
     FIGS. 3A, 3B and 3C illustrate aberrations of Example 1 when f = 71.4. 
     FIGS. 3D, 3E and 3F illustrate aberration of Example 1 when f = 118.29; 
     FIGS. 3G, 3H and 3I illustrate aberration of Example 1 when f = 195.99; 
     FIGS. 4A, 4B and 4C illustrate aberration of Example 2 when f = 81.00; 
     FIGS. 4D, 4E and 4F illustrate aberration of Example 2 when f = 126.00; 
     FIGS. 4G, 4H and 4I illustrate aberration of Example 2 when f = 194.44; 
     FIGS. 5A, 5B and 5C illustrate aberration of Example 3 when f = 81.01; 
     FIGS. 5D, 5E and 5F illustrate aberration of Example 3 when f = 126.01; and 
     FIGS. 5G, 5H and 5I illustrate aberration of Example 3 when f = 194.46. 
    
    
     Referring to FIGS. 1 and 2 which illustrate preferred embodiments of this invention, a positive first lens group 1 which is provided for focusing consists of a sequential arrangement of a positive lens r1 - r3 formed by joining a negative lens and a positive lens together and a positive meniscus lens r4 - r5. A negative second lens group 2 which is provided for variation consists of a sequential arrangement of a negative lens r6 - r7 and a negative lens r9 - r10 formed by joining a negative lens and a positive lens. A positive third lens group 3 which is provided for compensation consists of a positive lens r11 - r13 formed by joining a negative lens and a positive lens together. An image forming fixed lens part comprises a positive fourth lens group 4 and a weakly negative fifth lens group 5. When the second lens group 2 moves in the direction of an optical axis, the third lens group 3 concurrently makes a reciprocative motion to draw a concave locus on the object side. In the zoom lens which is formed in this manner, the fourth lens group consists of two positive lenses r14 - r15 and r16 - r17 which are aligned, each of them with its stronger convex face (having a smaller radius of lens face curvature) toward the photographing object and a negative lens r18 - r19. However, the invention includes also a case where at least one of the two positive lens of the fourth lens group is a positive lens which is formed by joining a negative lens and a positive lens together. In an embodiment example represented by FIG. 2, one of the two positive lenses on the image side is formed by joining a negative single lens r16 - ra and a positive single lens ra - r17 together. The fifth lens group consists of a sequential arrangement of a positive lens r20 - r21, a negative lens r22 - r23 which has a strong concave face on the object side and a positive lens r24 - r25. Assuming that Fr represents a composite focal length of the fourth and fifth lens groups; F4 the focal length of the fourth lenses; F4a a composite focal length of the positive lenses r14 - r15 and  r16 - r17 within the fourth lens group; d17 a lens face distance on the axis between the negative lens r18 - r19 and the positive lens r16 - r17 disposed on the object side within the fourth lens group; r14 and r16 the radiuses of curvature of the two positive lenses r14 - r15 and r16 - r17 arranged within the fourth lens group; N9 and N10 the refractive indexes of the two positive single lenses r14 - r15 and r16 - r17 (excluding the negative single lens r16 - ra when it is joined) arranged within the fourth lens group, it is preferable that the zoom lens satisfy the following formulas of conditions: 
     
         0.8Fr &lt; F4 &lt; 12Fr                                          (1) 
    
     
         0.3Fr &lt; F4a &lt; 0.7Fr                                        (2) 
    
     
         0.06Fr &lt; d17 &lt; 0.1Fr                                       (3) 
    
     
         0.25Fr &lt; r14 &lt; 0.35Fr                                      (4) 
    
     
         0.35Fr &lt; r16 &lt; 0.5Fr                                       (5) 
    
     
         1.45 &lt; (N9 + N10)/2 &lt; 1.6                                  (6) 
    
     in the above formulas of conditions, (1) and (2) relate to the arrangement of refractive powers of the fixed part and represent conditions desirable for shortening the total length of the lens system by making the fixed part a telephoto type. The formulas (3) through (6) represent conditions for keeping the whole lens system with adequate aberration compensation by compensating the aberration deterioration which makes place when the refractive power arrangement is determined under the conditions (1) and (2). 
     In the condition (1), when f4 exceeds the upper limit value, the length of the whole lens becomes too long for compactness though such is good for aberration compensation; while if f4 exceeds the lower limit value, the Petzval&#39;s sum of the whole lens system increases in the negative direction and this results in excessive compensation for the curvature of field and increase in astigmatism. In the condition (2), the whole length increases to impair compactness when f4 exceeds the upper limit value while there will be brought about a great degree of spherical aberration resulting in insafficient spherical aberration compensation as a whole when f4 exceeds the lower limit. With f4 exceeding the lower limit values of (1) and (2), adequate aberration compensation can not be attained even with the compensating conditions of the formulas (3) through (6) indicated above. 
     The condition (3) relates to an air gap d17 which has an effect on the principal aberrations such as spherical aberration, coma and astigmatism. This condition is an important feature of this invention. In the condition (3), when d17 exceeds the upper limit value, the compensation for spherical aberration and coma becomes insufficient while astigmatism compensation becomes excessive. This makes it difficult to compensate aberration through other parts for aberration compensation of the whole system. On the other hand, when d17 exceeds the lower limit value, the coma is over compensated while the astigmatism is under compensated. 
     The conditions (4) and (5) relate to compensation for spherical aberration and coma. With r14 and r16 exceeding the upper limit values set by these formulas of conditions, compensation for spherical aberration and coma aberration becomes insufficient. This makes it difficult to attain aberration compensation for the whole system through other parts. On the other hand, with r14 and r16 exceeding the lower limit value, the spherical aberration and the coma are over compensated. 
     The condition (6) relates to the Petzval&#39;s sum of the whole system. Under the conditions (1) and (2), the increase of the Petzval&#39;s sum of the whole system in the negative direction, which results from making the fixed part into a telephoto type, is compensated, according to this condition, by lowering the refractive powers of two positive lenses. In other words, in the condition (6), when the upper limit value is exceeded, the Petzval&#39;s sum increases in the negative direction to results in over compensation of curvature of the field and, when the lower limit value is exceeded, the spherical aberration is under compensated to make it difficult to attain adequate aberration compensation. The further details of the invention will be more fully understood from the following description of the embodiment examples: 
     In each of Examples 1, 2 and 3, the second positive lens is formed by joining a negative lens and a positive lens together, Example 1 being f = 71.4 - 195.99; Example 2 being f = 81.00 - 194.44 and Example 3 being f = 81.01 - 194.46, and each being F/4.0. Each of the examples brings about improved compensation for color spherical aberration. 
     FIG. 1 illustrates the configurations of Examples 1 and 2 while FIG. 2 illustrates the configuration of Example 3. FIGS. 3A, 3B and 3C respectively illustrate the various aberrations including spherical aberration, astigmatism and distortion of Example 1  corresponding to each of different focal length values. FIGS. 4A, 4B and 4C illustrate various aberrations of Example 2 and FIGS. 5A, 5B and 5C various aberrations of Example 3. 
     In the following tables, r represents radius of curvature of each lens; d lens thickness on the axis thereof or distance between faces on the axis; nd refractive index relative to the line d; and vd the Abbe&#39;s number relative to the line d. 
     EXAMPLE 1    F = 71.4 - 195.99    F/1:4.0 
     
         ______________________________________                                    
No.    r           d            vd     nd                                 
______________________________________                                    
1      285.967     3.00         25.4   1.80518                            
2      96.160      7.65         61.1   1.58913                            
3      -222.868    0.10                1.                                 
4      84.085      5.04         61.1   1.58913                            
5      495.029     d.sub.5 =variable   1.                                 
6      -331.765    1.40         53.9   1.71300                            
7      55.672      3.27                1.                                 
8      -70.157     1.40         53.9   1.71300                            
9      37.045      3.85         25.4   1.80518                            
10     271.395     d.sub.10 =variable  1.                                 
11     93.287      1.60         33.8   1.64769                            
12     32.468      5.82         61.1   1.58913                            
13     -142.576    d.sub.13 =variable  1.                                 
14     38.375      5.96         64.1   1.51633                            
15     165.946     0.85                1.                                 
16     44.267      2.77         64.1   1.51633                            
17     76.858      10.57               1.                                 
18     3072.885    1.78         28.3   1.74000                            
19     83.148      29.87               1.                                 
20     193.897     3.11         49.3   1.60729                            
21     -82.538     5.65                1.                                 
22     -24.269     1.95         50.9   1.65844                            
23     -435.335    0.06                1.                                 
24     68.442      3.71         49.3   1.60729                            
25     -149.072    41.91               1.                                 
______________________________________                                    
Variable Distance:                                                        
f          71.40      118.29      195.99                                  
d.sub.5     3.23       28.19       43.26                                  
d.sub.10   41.54       26.47       1.51                                   
d.sub.13   12.00       2.11        12.00                                  
______________________________________                                    
 Fr = 116.16                                                              
 F.sub.4 = 110.30 = 0.95 Fr                                               
 F.sub.4a = 64.74 = 0.59 Fr                                               
 
    
     EXAMPLE 2    f = 81.00 - 194.44    F/1:4.0 
     
         ______________________________________                                    
No.    r           d            vd     nd                                 
______________________________________                                    
1      299.582     3.00         25.4   1.80518                            
2      99.340      6.40         61.1   1.58913                            
3      - 223.035   0.10                1.                                 
4      85.752      4.89         61.1   1.58913                            
5      535.718     d.sub.5 = variable  1.                                 
6      -303.748    1.60         53.9   1.71300                            
7      58.079      2.97                1.                                 
8      -74.086     1.60         53.9   1.71300                            
9      39.082      4.19         25.4   1.80518                            
10     321.421     d.sub.10 = variable 1.                                 
11     102.994     1.60         33.8   1.64769                            
12     35.328      6.44         61.1   1.58913                            
13     -129.625    d.sub.13 = variable 1.                                 
14     38.933      4.44         64.1   1.51633                            
15     196.503     0.20                1.                                 
16     50.668      2.52         64.1   1.51633                            
17     88.204      9.11                1.                                 
18     -649.191    9.79         28.3   1.74000                            
19     87.775      30.01               1.                                 
20     150.725     3.36         49.3   1.60729                            
21     -65.259     3.59                1.                                 
22     -26.416     1.50         53.3   1.69350                            
23     223.506     0.10                1.                                 
24     62.316      3.97         49.3   1.60729                            
25     -144.433                        1.                                 
______________________________________                                    
Variable Distance:                                                        
f         81.00       126.00      194.44                                  
d.sub.5    3.540       25.760      39.840                                 
d.sub.10  37.346       23.061      1.332                                  
d.sub.13  12.000       4.065       11.713                                 
______________________________________                                    
 Fr = 123.74                                                              
 F.sub.4 = 121.47 = 0.98 Fr                                               
 F.sub.4a = 66.25 = 0.54 Fr                                               
 
    
     EXAMPLE 3    f = 81.01 - 194.46    F/1:4.0 
     
         ______________________________________                                    
No.    r           d            vd     nd                                 
______________________________________                                    
1      302.521     3.           25.4   1.80518                            
2      99.734      6.034        61.1   1.58913                            
3      -276.288    0.1                 1.                                 
4      87.859      4.89         61.1   1.58913                            
5      1521.034    d.sub.5 = variable  1.                                 
6      -249.143    1.6          53.9   1.713                              
7      58.335      2.97                1.                                 
8      -75.382     1.6          53.9   1.713                              
9      40.008      4.19         25.4   1.80518                            
10     370,374     d.sub.10 = variable 1.                                 
11     104.198     1.6          33.8   1.64769                            
12     36.579      6.44         61.1   1.58913                            
13     -129.164    d.sub.13 = variable 1.                                 
14     36.673      6.94         64.1   1.51633                            
15     188.364     0.6                 1.                                 
16     54.993      1.46         33.8   1.64769                            
ra     31.252      3.85         53.6   1.54739                            
17     144.658     8.71                1.                                 
18     -158.414    2.39         40.9   1.80610                            
19     114.916     33.17               1.                                 
20     388.587     2.42         49.3   1.60729                            
21     -95.805     4.48                1.                                 
22     -24.88      1.32         57.0   1.6228                             
23     -60.604     0.3                 1.                                 
24     49.996      2.95         53.6   1.54739                            
25     126.851                         1.                                 
______________________________________                                    
f          81.01      126.01     194.46                                   
d.sub.5     3.923      26.143     40.223                                  
d.sub.10   37.211      22.925     1.196                                   
d.sub.13   12.000      4.065      11.714                                  
 Fr= 123.75                                                               
 F.sub.4 = 129.81 = 1.05 Fr                                               
 F.sub.4a = 61.42 = 0.50 Fr