Fast telephoto lens
This is a continuation application of Ser. No. 633,297 filed July 23, 1984, now abandoned. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to a fast telephoto lens. 
     2. Description of the Prior Art 
     Fast telephoto lenses for still cameras, especially 35-mm still cameras have been demanded for indoor sports photography since strobes cannot be used for this purpose. In addition, indoor sports are played in a limited space, so a closest focusing distance image magnification is required to be about -0.1. In order to satisfy the above needs, pictures must be taken will full-aperture, resulting in a decrease in a focal depth. Therefore, a high-performance telephoto lens having no deviations in aberration from infinity to the closest focusing distance when full-aperture is performed is needed. 
     A conventional telephoto lens having an F-number of 2.0 and is disclosed in U.S. Pat. No. 4,176,913, assigned to the assignee of the present invention. This telephoto lens has a maximum focal length of about 200 mm. When the telephoto lens is focused on an object at the closest focusing distance, a plurality (two or three) of lens groups are shifted at different speeds by a floating mechanism, thereby obtaining a telephoto lens having an F-number of 2.0 and a focal length of 250 mm. However, at present, the floating mechanism is complicated, thus providing a complicated and large mechanism, and the deviations in aberration are not sufficiently corrected. 
     SUMMARY OF THE INVENTION 
     It is an object of the present invention to provide a telephoto lens which has a longer focal length of 300 to 400 mm, and an F-number of about 2.0 to 2.8, which does not utilize a floating mechanism, has a small deviation in aberration when the lens is focused on an object, and has a simple construction for shifting only one set of lens groups. 
     In principle, the fast internal focusing telephoto lens according to the present invention comprises positive, negative and positive lens groups from the object side and only the negative (second) lens group is shifted to obtain an in-focus state. A new lens configuration is found in these lens groups. 
     More specifically, the internal focusing telephoto lens according to the present invention comprises a first converging lens group G1, a diverging lens group G2 and a second converging lens group G3. When the telephoto lens is focused on an object at infinity, the first converging lens group G1 and the diverging lens group G2 constitute an afocal system, and the diverging lens group G2 is shifted toward the image, thereby focusing the telephoto lens from the object at infinity to the closest focusing distance. The first converging lens group G1 includes at least two positive lens components and a negative lens component from the object side. The diverging lens group G2 includes two negative lens components. At least one of these negative lens components comprises an achromatic lens component consisting of a positive lens and a negative lens adhered to the positive lens or slightly spaced apart from the positive lens. The second converging lens group G3 comprises at least one achromatic lens component consisting of a negative lens and a positive lens adhered to the negative lens or slightly spaced apart from each other. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIGS. 1 to 6 show lens configurations of telephoto lenses according to first to sixth embodiments of the present invention, respectively; and 
     FIGS. 7A and 7B to FIGS. 12A and 12B show various aberrations of the first to sixth embodiments, respectively, in which FIGS. 7A to 12A show the aberrations in the infinity in-focus state, and FIGS. 7B to 12B show aberrations in the closest distance in-focus state. 
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Preferred embodiments of the present inventions will be described with reference to the accompanying drawings. 
     According to the arrangement of lens components in FIG. 1, a first converging lens group G1 comprises two positive lens components and one negative lens component which are arranged from the object side. A diverging lens group G2 comprises an achromatic component and a negative lens component which are sequentially arranged from the object side. This achromatic component consists of positive and negative lens components. A second converging lens group G3 comprises two achromatic components each of which consists of positive and negative lens components adhered to each other. 
     According to the arrangement of lens components in FIG. 2, a meniscus lens component having a convex surface opposing the object side is additionally arranged at the image side of the first converging lens group G1 of FIG. 1. 
     According to the arrangement of lens components in FIG. 3, a diverging lens group G2 and a second converging lens group G3 have arrangement different from those in FIG. 1. More specifically, the diverging lens group G2 comprises a positive lens component and a negative lens component which are sequentially arranged from the object side and an achromatic lens component consisting of positive and negative lens components adhered to each other from the object side. The second converging lens group G3 comprises, in order from the object side, a positive lens component, a positive meniscus lens component having a convex surface opposing the image side, a negative meniscus lens component having a convex surface opposing the image side, a negative meniscus lens component having a convex surface opposing the image side, and an achromatic lens component consisting of a positive lens component and a negative lens component which are sequentially arranged from the object side and are adhered to each other. 
     The arrangement of the lens components shown in FIG. 4 is substantially the same as that in FIG. 2. 
     The arrangement of the lens components shown in FIG. 5 is substantially the same as that in FIG. 4, except that a second converging lens group G3 comprises an achromatic lens component consisting of a negative lens and a positive lens which are sequentially arranged from the object side and which are adhered to each other, a filter P, a negative meniscus lens component having a convex surface opposing the image side, and a positive lens component. 
     The arrangement of the lens components shown in FIG. 6 is substantially the same as that in FIG. 5. 
     According to the present invention, it was found that a lens system must be prepared to satisfy conditions (1) to (3) below so as to obtain a fast high-performance telephoto lens having a focal length of 300 to 400 mm and an F-number of 2.0 to 2.8. 
     
         0.7f≦f1&lt;f                                           (1) 
    
     
         0.12f≦f2≦0.48f                               (2) 
    
     
         -1.50≦(rb+ra)/(rb-ra)≦-0.50                  (3) 
    
     where 
     f: the focal length of the entire optical system 
     f1: the focal length of the first converging lens group 
     f2: the focal length of the diverging lens group 
     ra: the radius of curvature of a surface of the negative lens component in the diverging lens group that is located nearer the object, the surface being that closest to the object 
     rb: the radius of curvature of a surface of the negative lens component in the diverging lens group that is located nearer the object, the surface being that closest to the image 
     Condition (1) defines the range of focal length of the first converging lens group with respect to the focal length of the entire lens system. The focal length of the first converging lens group is the most important factor for correcting spherical aberration so as to obtain a fast telephoto lens. When the first converging lens group comprises three or four lenses, the range given by condition (1) is optimal. When the focal length of the first converging lens group G1 falls below the lower limit of the range given by condition (1), it is very difficult to correct the spherical aberration with the first converging lens group, resulting in a high-order curvature. In this case, correction cannot be performed to obtain a focal depth corresponding to the F-number of 2.0 to 2.8. In addition, a lens system constituted by the diverging lens group G2 and the second converging lens group G3 must magnify an image with a larger magnification factor. As a result, the secondary spectrum is increased. On the other hand, when the focal length exceeds the upper limit of the range given by condition (1 ), it is easy to correct the spherical aberration. However, the overall length of the telephoto lens is increased. In addition to this disadvantage, a shift distance of the diverging lens group for an in-focus state becomes longer than that of an extension type lens, resulting in inconvenience. 
     Condition (2) defines the optimal range of focal length of the diverging lens groups with respect to the overall focal length of the entire system. This condition is an important factor for correcting spherical aberration, astigmatism and coma, especially astigmatism. According to the lens system of the present invention, the first converging lens group and the diverging lens group constitute an afocal system for an object at infinity. Therefore, condition (2) determines a position of the diverging lens group G2 relative to the first converging lens group G1. When the focal length of the diverging lens group G2 falls below the lower limit of the range given by condition (2), the diverging lens group G2 is shifted toward the image from the first converging lens group G1. When the diaphragm position is located near the second converging lens group G3, the diverging lens group G2 receives the main light rays near the optical axis. As a result, the astigmatism generated by the first converging lens group G1 can no longer be corrected. At the same time, an asymmetrical component in coma is also increased, so a negative spherical aberration generated by the first converging lens group G1 can no longer be corrected, resulting in a great negative spherical aberration. However, when the focal length of the diverging lens group G2 exceeds the upper limit of the range given by condition (2), the diverging lens group G2 is located in the vicinity of the first converging lens group G1. A diameter of the diaphragm positioned in the vicinity of the second converging lens group G3 is increased, and a diaphragm mechanism is complicated. As a result, an automatic diaphragm cannot be employed. 
     Condition (3) is an optimal factor for correcting the spherical aberration so as to achieve a high-performance lens system under conditions (1) and (2). In order to obtain a telephoto lens having a focal length of 300 to 400 mm and an F-number of 2.0 to 2.8, the focal depth falls within the range between about 0.06 and 0.09. A deviation in spherical aberration must be minimized. The component of the diverging lens group which is located near the object contributes most to the correction of spherical aberration. Therefore, the shape of lenses of the component described above is very important. When the ratio (rb+ra)/(rb-ra) exceeds the upper limit of the range given by condition (3), an annular spherical aberration is increased, and thus the spherical aberration is excessively corrected. However, when the ratio falls below the lower limit of the range given by condition (3), the aberration correction is insufficient. In addition, when the ratio falls outside the range, the asymmetrical component in coma is also increased. 
     In the fundamental arrangement of the telephoto lens according to the present invention, preferable conditions for providing a higher-performance lens system are derived as follows. 
     For the first converging lens group, 
     
         0.01&lt;d4/f1&lt;0.09                                            (4) 
    
     where 
     d4: the second space in the first converging lens group G1 
     Condition (4) is used for coma correction. Oblique rays passing through a lens portion away from the optical axis thereof are strongly converged at a surface (at the image side) of the second positive lens of the first converging lens group G1 which is counted from the object. The divergence degree for the strongly converged light rays strongly diverged by a surface of the negative lens (disposed immediately after the positive lens) which opposes the image is controlled by the space between the positive and negative lenses. As a result, coma is corrected. 
     When the ratio d4/f1 falls outside the range given by condition (4), an asymmetrical component in coma occurs, and proper coma correction cannot be performed. The above-mentioned surfaces of the positive and negative lenses also perform chromatic aberration. When the ratio d4/f1 exceeds the upper limit of the range given by the condition (4), achromatic correction cannot be performed. 
     In the diverging lens group G2, the negative lens component near the object preferably serves as the achromatic component so as to satisfy the following conditions. 
     
         0.1&lt;na-nb&lt;0.35                                             (5) 
    
     
         18&lt;νb -νa                                            (6) 
    
     
         -0.5&lt;(rd+rc)/(rd-rc)&lt;0                                     (7) 
    
     where 
     na: the refractive index with respect to the d-line of the positive lens of the achromatic component (of the diverging lens group G2) located near the object 
     nb: the refractive index with respect to the d-line of the negative lens of the achromatic component (of the diverging lens group G2) located near the object 
     νa: the Abbe number of the positive lens of the achromatic component (of the diverging lens group G2) located near the object 
     νb: the Abbe number of the negative lens of the achromatic component (of the diverging lens group G2) located near the object 
     rc: the radius of curvature of a surface of the negative lens component in the diverging lens group G2 that is located nearer the image, the surface being that nearest the object 
     rd: the radius of curvature of a surface of the negative lens component in the diverging lens group G2 that is located nearer the image, the surface being that nearest the image 
     Conditions (5) and (6) are important to correct the chromatic aberration as well as the spherical aberration. Condition (5) provides a difference between refractive indices of the positive and negative lenses, so that the converging behavior of the achromatic surface changes. Condition (6) changes the radius of curvature of the achromatic surface, also resulting in a change in converging behavior of the achromatic surface. Therefore, conditions (5) and (6) determine an optimal power of an achromatic surface so as to correct the spherical aberration with respect to all wavelengths. When a value (na-nb) falls below the lower limit of the range given by condition (5), the power of the achromatic surface at the d-line becomes weak and does not contribute to correction of the spherical aberration for the d-line. In this case, a lens material (i.e., glass) having such a low value is not the best choice. However, when the value (na-nb) exceeds the upper limit of the range given by condition (5), the converging power of the achromatic surface and then the spherical aberration are increased, and the aberration correction is insufficient. When a value (→b-νa) falls below the lower limit of the range given by condition (6) in the same manner as in condition (5), the radius of curvature of the achromatic aberration and then the converging power of the converging lens group are too large to correct the chromatic aberration on the axis and the chromatic aberration of the magnification. Therefore, the spherical aberration correction becomes insufficient, resulting in inconvenience. The upper limit of the value (νb-νa) is determined by a commercially available glass material and is set to be about 70. 
     Condition (7) is associated with correction of close distance variations in spherical aberration and astigmatism. When a ratio (rd+rc)/(rd-rc) exceeds the upper limit of the range given by condition (7), the spherical aberration becomes greatly positive, and the image surface is positively curved. A difference between the infinity astigmatism and the closest distance astigmatism is increased, resulting in inconvenience. However, when the ratio (rd+rc)/(rd-rc) falls below the lower limit of the range given by condition (7), the spherical aberration becomes greatly negative, and the image surface is negatively curved. As a result, the difference between the infinity aberration and the closest distance aberration is increased, resulting in inconvenience. 
     As described above in detail, according to the present invention, a simple three-group type internal focusing telephoto lens is used to constitute a fast telephoto lens. 
     The present invention is not limited to the first to sixth embodiments described above. In each of the first to sixth embodiments, the first converging lens group G1 comprises two positive lens components and one negative lens component which are sequentially arranged from the object side. However, a positive lens component may be added to give four lenses in the first converging lens group so as to shorten the overall length thereof. When a 300-mm telephoto lens is provided, one or two achromatic components are preferably used. When a 400-mm telephoto lens is provided, a negative lens and a positive lens are added to each achromatic component, thereby properly correcting astigmatism and distortion. 
     The specifications of the respective telephoto lenses according to the first to sixth embodiments are listed below. In the following tables, reference symbols r1, r2, r3, . . . are radii of curvature, respectively; d1, d2, d3, . . . , thicknesses at the centers of the respective lenses and lens distances, respectively; n1, n2, n3, . . . , refractive indices of the respective lenses with respect to the d-line (λ=587.6 nm), respectively; and ν1, ν2, ν3, . . . , the Abbe numbers of the respective lenses, respectively. 
     
         ______________________________________                                    
First embodiment f = 300 F-number 2.0                                     
______________________________________                                    
r1=213.382                                                                
          d1=23.000 n1=1.49782 ν1=82.3                                 
r2=-738.293                                                               
          d2=0.300                                                        
r3=168.324                                                                
          d3=23.000 n2=1.49782 ν2=82.3                                 
r4=-848.097                                                               
          d4=8.200                         G1                             
r5=-531.204                                                               
          d5=8.100  n3=1.75692 ν3=31.7                                 
r6=41.072 d6=91.540                                                       
r7=-7864.019                                                              
          d7=7.900  n4=1.79886 ν4=34.1                                 
r8=-105.904                                                               
          d8=3.000  n5=1.51454 ν5=54.6                                 
r9=193.539                                                                
          d9=10.450                        G2                             
r10=-114.709                                                              
          d10=3.950 n6=1 46450 ν6=65.8                                 
r11=86.161                                                                
          d11=31.231                                                      
r12=376.118                                                               
          d12=1.500 n7=1.68893 ν7=31.1                                 
r13=100.0 d13=7.000 n8=1.69350 ν8=53.8                                 
r14=-1707.134                                                             
          d14=2.000                                                       
r15=224.029                                                               
          d15=2.350 n9=1.69895 ν9=30.1  G3                             
r16=130.0 d16=8.500 n10=1.69680                                           
                               ν10=55.6                                
r17=-205.257                                                              
Bf=111.055                                                                
______________________________________                                    
Second embodiment f = 300 F-number 2.0                                    
______________________________________                                    
r1=396.963                                                                
          d1=15.00  n1=1.62041 ν1=60.3                                 
r2=-856.209                                                               
          d2=0.400                                                        
r3=169.663                                                                
          d3=25.00  n2=1.49782 ν2=82.3                                 
r4=-848.700                                                               
          d4=2.350                                                        
r5=-708.000                                                               
          d5=5.000  n3=1.75692 ν3=31.7  G1                             
r6=295.194                                                                
          d6=1.400                                                        
r7=171.269                                                                
          d7=16.000 n4=1.49782 ν4=82.3                                 
r8=686.191                                                                
          d8=78.913                                                       
r9=1756.745                                                               
          d9=10.000 n5=1.79504 ν5=28.6                                 
r10=-140.240                                                              
          d10=3.000 n6=1.51454 ν6=54.6                                 
r11=138.770                                                               
          d11=9.626                        G2                             
r12=-165.595                                                              
          d12=3.950 n7=1.58913 ν7=61.2                                 
r13=87.786                                                                
          d13=23.602                                                      
r14=628.332                                                               
          d14=1.500 n8=1.68893 ν8=31.1                                 
r15=130.000                                                               
          d15=7.000 n9=1.69350 ν9=53.8                                 
r16=-727.144                                                              
          d16=2.000                        G3                             
r17=254.899                                                               
          d17=2.350 n10=1.69895                                           
                               ν10=30.1                                
r18=127.000                                                               
          d18=8.500 n11=1.69680                                           
                               ν11=55.6                                
r19=-169.604                                                              
          Bf=110.073                                                      
______________________________________                                    
Third embodiment f = 300 F-number 2.0                                     
______________________________________                                    
r1=196.956                                                                
          d1=23.000 n1=1.49782 ν1=82.3                                 
r2=-1307.161                                                              
          d2=0.300                                                        
r3=195.829                                                                
          d3=23.000 n2=1.49782 ν2=82.3                                 
r4=-516.352                                                               
          d4=9.035                         G1                             
r5=-380.362                                                               
          d5= 8.100 n3=1.75692 ν3=31.7                                 
r6=721.299                                                                
          d6=94.902                                                       
r7=-2258.410                                                              
          d7=10.000 n4=1.79886 ν4=34.0                                 
r8=-117.177                                                               
          d8=2.000                                                        
r9=-101.703                                                               
          d9=3.000  n5=1.46450 ν5=65.8                                 
r10=148.618                                                               
          d10=20.495                       G2                             
r11=-95.192                                                               
          d11=5.000 n6=1.69350 ν6=53.8                                 
r12=-61.177                                                               
          d12=3.950 n7=1.51118 ν7=50.9                                 
r13=93.433                                                                
          d13=24.547                                                      
r14=98.544                                                                
          d14=10.000                                                      
                    n8=1.62041 ν8=60.3                                 
r15=-121.912                                                              
          d15=3.300                                                       
r16=-261.503                                                              
          d16=5.000 n9=1.62041 ν9=60.3                                 
r17=-102.467                                                              
          d17=3.000                                                       
r18=-92.976                                                               
          d18=3.000 n10=1.75520                                           
                               ν10=27.6                                
r19=-511.672                                                              
          d19=8.000                        G3                             
r20=-70.661                                                               
          d20=3.000 n11=1.80518                                           
                               ν11=25.4                                
r21=-94.501                                                               
          d21=0.090                                                       
r22=88.159                                                                
          d22=10.000                                                      
                    n12=1.60342                                           
                               ν12=38.1                                
r23=-100.000                                                              
          d23=3.000 n13=1.62041                                           
                               ν13=60.3                                
r24=357.774                                                               
          Bf=46.847                                                       
______________________________________                                    
Fourth embodiment f = 300 F-number 2.0                                    
______________________________________                                    
r1=443.373                                                                
          d1=14.500 n1=1.49782 ν1=82.3                                 
r2=-745.663                                                               
          d2=0.500                                                        
r3=235.410                                                                
          d3=21.000 n2=1.49782 ν2=82.3                                 
r4=-599.816                                                               
          d4=6.850                                                        
r5=-527.848                                                               
          d5=6.000  n3=1.74950 ν3=35.2  G1                             
r6=473.787                                                                
          d6=1.700                                                        
r7=176.900                                                                
          d7=15.000 n4=1.49782 ν4=82.3                                 
r8=558.189                                                                
          d8=102.701                                                      
r9=749.672                                                                
          d9=8.000  n5=1.79504 ν5=28.6                                 
r10=-189.496                                                              
          d10=3.650 n6=1.51454 ν6=54.6                                 
r11=125.271                                                               
          d11=12.000                       G2                             
r12=-148.765                                                              
          d12=4.800 n7=1.46450 ν7=65.8                                 
r13=97.985                                                                
          d13=28.388                                                      
r14=-1754.216                                                             
          d14=1.500 n8=1.68893 ν8=31.1                                 
r15=110.000                                                               
          d15=7.750 n9=1.69350 ν9=53.8                                 
r16=-317.940                                                              
          d16=2.000                                                       
r17=169.454                                                               
          d17=2.400 n10=1.69895                                           
                               ν10=30.1 G3                             
r18=113.525                                                               
          d18=8.000 n11=1.69680                                           
                               ν11=55.6                                
r19=-254.060                                                              
          Bf=112.223                                                      
______________________________________                                    
Fifth embodiment f = 400 F-number 2.8                                     
______________________________________                                    
r1=366.543                                                                
          d1=15.000 n1=1.49782 ν1=82.3                                 
r2=-644.512                                                               
          d2=.000                                                         
r3=213.552                                                                
          d3=21.000 n2=1.49782 ν2=82.3                                 
r4=-441.810                                                               
          d4=5.000                                                        
r5=-394.853                                                               
          d5=4.800  n3=1.74950 ν3=35.2  G1                             
r6=432.180                                                                
          d6=1.300                                                        
r7=156.381                                                                
          d7=14.000 n4=1.49782 ν 4=82.3                                
r8=1095.641                                                               
          d8=86.847                                                       
r9=-46400.000                                                             
          d9=7.000  n5=1.78470 ν5=26.1                                 
r10=-139.436                                                              
          d10=2.500 n6=1.65160 ν6=58.5                                 
r11=128.330                                                               
          d11=10.000                       G2                             
r12=-172.383                                                              
          d12=3.500 n7=1.51680 ν7=64.1                                 
r13=104.035                                                               
          d13=18.449                                                      
r14=487.163                                                               
          d14=1.500 n8=1.67163 ν8=38.9                                 
r15=98.542                                                                
          d15=10.000                                                      
                    n9=1.59319 ν9=67.9                                 
r16=-100.861                                                              
          d16=25.500                                                      
r17=∞                                                               
          d17=2.000 n10=1.51680                                           
                               ν10=64.1                                
r18=∞                                                               
          d18=7.700                        G3                             
r19=-161.289                                                              
          d19=2.800 n11=1.78797                                           
                               ν11=47.5                                
r20=-458.625                                                              
          d20=1.000                                                       
r21=609.162                                                               
          d21=5.700 n12=1.53172                                           
                               ν12=49.1                                
r22=-191.968                                                              
          Bf=111.255                                                      
______________________________________                                    
Sixth embodiment f = 400 F-number 2.8                                     
______________________________________                                    
r1=404.620                                                                
          d1=12.400 n1=1.49782 ν1=82.3                                 
r2=-739.128                                                               
          d2=.500                                                         
r3=229.061                                                                
          d3=19.000 n2=1.49782 ν2=82.3                                 
r4=-576.364                                                               
          d4=6.500                                                        
r5=-504.589                                                               
          d5=5.700  n3=1.74950 ν3=35.2  G1                             
r6=450.293                                                                
          d6=1.600                                                        
r7=174.251                                                                
          d7=14.300 n4=1.49782 ν4=82.3                                 
r8=610.132                                                                
          d8=102.683                                                      
r9=774.302                                                                
          d9=7.500  n5=1.79504 ν5=28.6                                 
r10=-170.747                                                              
          d10=3.400 n6=1.51454 ν6=54.6                                 
r11=112.007                                                               
          d11=11.200                       G2                             
r12=-135.143                                                              
          d12=4.500 n7=1.46450 ν7=65.8                                 
r13=98.477                                                                
          d13=25.175                                                      
r14=537.096                                                               
          d14=1.500 n8=1.67163 ν8=38.9                                 
r15=109.866                                                               
          d15=9.700 n9=1.59319 ν9=67.9                                 
r16=-106.723                                                              
          d16=26.000                                                      
r17=∞                                                               
          d17=2.000 n10=1.51680                                           
                               ν10=64.1                                
r18=∞                                                               
          d18=7.800                        G3                             
r19=-180.104                                                              
          d19=2.900 n11=1.79631                                           
                               ν11=41.0                                
r20=-975.725                                                              
          d20=1.000                                                       
r21=119.226                                                               
          d21=5.800 n12=1.53172                                           
                               ν12=49.1                                
r22=3284.360                                                              
          Bf=113.852                                                      
______________________________________                                    
 
    
     In the first embodiment, f1/f=0.90 and f2/f=0.35. When the diverging lens group G2 is shifted by 21.0 toward the image, closest distance photography with the magnification factor β=-0.086 can be performed. 
     In the second embodiment, f1/f=0.75 and f2/f=0.29. When the diverging lens group G2 is shifted by 16.8 toward the image, closest distance photography with the magnification factor β=-0.100 can be performed. 
     In the third embodiment, f1/f-0.75 and f2/f=0.35. When the diverging lens group G2 is shifted by 21.0 toward the image, closest distance photography with the magnification factor β=-0.086 can be performed. 
     In the fourth embodiment, f1/f=0.90 and f2/f=0.35. When the diverging lens group G2 is shifted by 21.0 toward the image, closest distance photography with the magnification factor β=-0.089 can be performed. 
     In the fifth embodiment, f1/f=0.54 and f2/f=0.20. When the diverging lens group G2 is shifted by 13.5 toward the image, closest distance photography with the magnification factor β=-0.116 can be performed. 
     In the sixth embodiment, f1/f=0.65 and f2/f=0.25. When the diverging lens group G2 is shifted by 19.8 toward the image, closest distance photography with the magnification factor β=-0.118 can be performed. It should be noted that filters P are inserted in the second converging lens groups G3 in the fifth and sixth embodiments, respectively. 
     The various aberrations of the respective embodiments are shown in FIGS. 7A and 7B to FIGS. 12A to 12B. The aberrations of each embodiment include spherical aberration (Sph), astigmatism (Ast), distortion (Dis), lateral chromatic aberration (Lat Chr) of the g-line (λ=435.8 nm) with respect to the d-line (λ=587.6 nm), and coma (Coma). FIGS. 7A to 12A show the various aberrations in the infinity in-focus state according to the first to sixth embodiments, and FIGS. 7B to 12B show the various aberrations in the closest distance in-focus state according to the first to sixth embodiments. 
     The fast telephoto lenses according to the respective embodiments have an excellent imaging performance irrespective of infinity or closest distance image magnification. It is thus apparent that the deviations in aberrations in the in-focus state are properly corrected.