Abstract:
In a triplet type objective for a compact lens shutter camera with a diaphragm arranged behind the lens system, the first lens element is formed of glass and the second and third lens elements are formed of plastic, so that it is advantageous in manufacturing cost and weight. Furthermore, sufficient marginal light rays and flatness of the image field can be obtained.

Description:
BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to an objective for compact lens-shutter cameras whose diaphragm is arranged behind the whole optical system, and more particularly to a compact wide angle objective with a simple construction for cameras for a spread use. 
     2. Description of the Prior Art 
     With a compact lens-shutter camera for cameras for a spread use, a wide angle objective with a diaphragm arranged behind the whole lens system is advantageous for accommodation in the camera, for compactization of the camera or the objective itself and for realization of precise focusing. As this kind of objective, triplet type objectives with F No . of 4-2.8 and a total angular field coverage of 60°-64° have been proposed. With a wide angle triplet type objective, since an astigmatic difference tends to become large at a marginal angular field, it was conventional to construct this type of objective by the use of lens elements formed of a glass with a high refractive index. For example, in Japanese patent application laid-open No. Sho. 59-34510, all lens elements, one or two of which have an aspherical surface, are formed of glass with a high refractive index to construct an objective with a total angular field coverage of 64°, and F No . of 3.5. In Japanese patent application laid-open No. Sho. 57-2012, an objective with F No . of 4 and a total angular field of 64° has been realized with the use of a glass with a high refractive index. But forming a lens element of glass of a high refractive index incurs an increase in the manufacturing cost. 
     Besides, with a triplet type objective with a diaphragm arranged behind the whole lens system, a problem exists in that the amount of marginal light rays tends to become insufficient and this promblem has not been solved. 
     SUMMARY OF THE INVENTION 
     An object of the present invention is to provide a triplet type wide angle objective with a compact size and light weight, which can secure a sufficient amount of marginal light rays, whose manufacturing cost is low, whose construction is advantageous in manufacturing of lens elements and whose aberrations are corrected well. 
     To achieve these objects a triplet type objective according to the present invention, as shown in FIG. 1, comprises a lens system and a diaphragm (S) arranged behind the lens system. The lens system consists of, from the object side, a first positive meniscus lens element (L 1 ) having a positive refractive power on the object side surface, a second biconcave lens element (L 2 ) and a third biconvex lens element (L 3 ). The first lens element (L 1 ) is formed of glass and the second (L 2 ) and third lens (L 3 ) elements are formed of plastic. Further, the lens systems fulfills the following conditions: 
     
         0.25f&lt;Σd+b&lt;0.45f                                     (1) 
    
     
         0.15&lt;N.sub.1 -N.sub.3 &lt;0.4                                 (2) 
    
     wherein, 
     f represents the focal length of the lens system; 
     Σd represents the axial distance from the first surface (r 1 ) to the last surface (r 6 ) of the lens system, b represents the axial distance from the last surface (r 6 ) of the lens system to the diaphragm (S), N 1  represents the refractive index of the first lens element (L 1 ), and N 3  represents the refractive index of the third lens element (L 3 ). 
     Condition (1) is to increase the amount of marginal light rays which, otherwise would tend to be insufficient with a wide angle triplet type objective having a diaphragm arranged behind the whole lens system. If the upper limit of the condition (1) is violated, it becomes difficult to secure a sufficient amount of marginal light rays and the objective becomes bulky in size. On the other hand, if the lower limit of condition (1) is violated, the curvature of the field deteriorates, and further, the thickness of the peripheral portion of the positive lens elements decreases so much that manufacturing of the lens elements becomes difficult. 
     According to the present invention, the second negative lens element (L 2 ) and the third positive lens element (L 3 ) are made of plastic, so that the change of back focus caused by a change of the temperature is cancelled, and both the weight of the objective and the cost for manufacturing of the lens elements can decrease. Although the third plastic lens element (L 3 ) has a week refractive index, the first lens element (L 1 ) made of glass with a stronger refractive index prevents the petzval sum from becoming great, so that the astigmatic difference is corrected well. Thus, the present invention is characterized in that the refractive index of the first lens element (L 1 ) is much greater than that of the third lens element (L 3 ) as represented by the condition (2). When the condition (2) is satisfied, an image field of the objective can be ketp substatially flat over an angular field of 65°. If the lower limit of the condition (2) is violated, the petzval sum cannot be made small and the astigmatic difference at a large angular field becomes great. On the other hand, the upper limit of the condition (2) shows the highest limit of the refractive index of the glass which is normally available as the first lens element (L 1 ). 
     Furthermore, according to the present invention, it is desirable to fulfill the following conditions: 
     
         1.1/f&lt;φ.sub.1 &lt;1.9/f                                   (3) 
    
     
         -0.75/f&lt;φ.sub.23 &lt;0.02/f                               (4) 
    
     
         0.8f&lt;-r.sub.3 &lt;3.0f                                        (5) 
    
     
         0.38f&lt;r.sub.5 &lt;0.76f                                       (6) 
    
     
         0.35f&lt;-r.sub.6 &lt;0.64f                                      (7) 
    
     wherein, φ 1  represents the refractive power of the first lens element (L 1 ), φ 23  represents the composite refractive power of the second and the third lens elements (L 2 ) and (L 3 ), r 3  represents the radius of curvature of the object side surface of the second lens element (L 2 ), r 5  represents the radius of curvature of the object side surface of the third lens element (L 3 ) and r 6  represents the radius of curvature of the image side surface of the third lens element (L 3 ). 
     Condition (3) is desirable for compactization of the objective and for security for the marginal light rays. 
     When the condition (3) is satisfied, the objective can be constructed compactly and the marginal light rays required for providing an object image being bright even at marginal portions can be secured. If the lower limit of condition (3) is violated, marginal light rays are cut off, so that vignetting at a large angular portion of the field increases. In contrast thereto, if the upper limit of the condition (3) is violated, the petzval sum increases so much that it becomes difficult to correct the curvature of field and the positive distortion is caused remarkably, while the marginal light rays can be secured to more of a extent and the objective can be constructed more compactly. 
     Condition (4) is desirable for decreasing the change of the back focus depending on the change of temperature which is caused by use of plastic lenses. As the composite refractive power of the second and the third lens elements (L 2 ) and (L 3 ) becomes small, the change of the back focus can be well cancelled. But, if the composite refractive power (φ 23 ) becomes small beyond the lower limit of condition (4), the refractive power of the first lens element should be so great that the curvature of field cannot be corrected well. On the contrary, if the upper limit of condition (4) is violated, the change of back focus depending on the change of temperature becomes great, so that a means for mechanically changing the back focus should be accommodated in a lens barrel. 
     Conditions (5), (6) and (7) are for correcting spherical aberration, curvature of field and the coma well. The radius of curvature (r 3 ) of the object side surface of the second lens element (L 2 ) is effective for correcting the coma caused by the lower marginal ray in the intermediate and marginal area, whereas the radius of curvature (r 6 ) of the image side surface of the third lens element (L 3 ) is effective for correcting the coma caused by the upper marginal ray. 
     If the upper limit of condition (5) is violated, spherical aberration and curvature of field undergo over-correction. On the contrary, if the lower limit of condition (5) is violated, spherical aberration is in an undercorrection state and the coma towards the outward direction is produced at the intermediate area of the picture format. 
     If the upper limit of condition (6) is violated, spherical aberration and curvature of field are in an over-correction state and if the lower limit of condition (6) is violated, spherical aberration and curvature of field are in an undercorrection. 
     If the upper limit of condition (7) is violated, spherical aberration is in overcorrection state and the coma towards the inward direction is produced in the marginal area. In contrast thereto the lower limit of condition (7) is violated, spherical aberration and curvature of field are not corrected well. 
     For still better correction of aberrations, it is desirable that conditions (5), (6) and (7) have the following range: 
     
         0.9f&lt;-r.sub.3 &lt;1.3f                                        (5)&#39; 
    
     
         0.38f&lt;r.sub.5 &lt;0.65f                                       (6)&#39; 
    
     
         0.35f&lt;-r.sub.6 &lt;0.62f                                      (7)&#39; 
    
     When a plastic lens element is used, it becomes easier to employ an aspherical surface. According to this invention it is desirable to employ an aspherical surface for one of the surfaces of the second and third lens elements (L 2 ) and (L 3 ), so that spherical aberration, distortion, curvature of field and coma which are not so satisfactory corrected in case of an objective consisting of only spherical lens elements can be corrected almost completely. Furthermore, it is better to employ one more aspherical surface for another surface of the second and third lens elements (L 2 ) (L 3 ) in order to correct aberrations in high degrees. 
     Another triplet type objective of the present invention comprises a lens system and a diaphragm (S) arranged behind the lens system. The lens system consists of, from the object side, a first positive meniscus lens element (L 1 ) having a positive refractive power on the object side surface, a second biconcave lens element (L 2 ) and a third biconvex lens element (L 3 ). The first lens element (L 1 ) is formed of glass and the second and third lens elements (L 2 , L 3 ) are formed of plastic. Further, the lens system fulfills following conditions: 
     
         0.15&lt;N.sub.1 -N.sub.3 &lt;0.4                                 (8) 
    
     
         1.4&lt;N.sub.2 &lt;1.65                                          (9) 
    
     
         1.4&lt;N.sub.3 &lt;1.65                                          (10) 
    
     wherein 
     N 2  represents the refractive index of the second lens element. 
     Condition (8) is the same as condition (2) and has the same meaning. 
     The upper limit of conditions (9) and (10) is set in consideration of the refractive index of plastics which are normally available for a lens. If the lower limit of condition (9) is violated, the curvature of field is in an overcorrection state and the coma to the inward direction becomes difficult to be corrected. On the other hand, if the lower limit of condition (10) is violated, the spherical aberration is in an undercorrection state. 
     The features of the present invention which are believed to be novel are set forth with particularity in the appended claimed. The present invention, both as to its organization and manner of operator, together with further objects and advantages thereof, may best be understood by reference to the following description, taken in conjunction with the accompanying drawings. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a cross sectional view of an objective according to the respective embodiments of the present invention; 
     FIGS. 2A to 2C represent the aberration curves of the embodiment 1 respectively; 
     FIGS. 3A to 3C represent the aberration curves of the embodiment 2 respectively; 
     FIGS. 4A to 4C represent the aberration curves of the embodiment 3 respectively; 
     FIGS. 5A to 5C represent the aberration curves of the embodiment 4 respectively; 
     FIGS. 6A to 6C represent the aberration curves of the embodiment 5 respectively; 
     FIGS. 7A to 7C represent the aberration curves of the embodiment 6 respectively; 
     FIGS. 8A to 8C represent the aberration curves of the embodiment 7 respectively; 
     FIGS. 9A to 9C represent the aberration curves of the embodiment 8 respectively; 
     FIGS. 10A to 10C represent the aberration curves of the embodiment 9 respectively; 
     FIGS. 11A to 11C represent the aberration curves of the embodiment 10 respectively; 
     FIGS. 12A to 12C represent the aberration curves of the embodiment 11 respectively; 
     FIGS. 13A to 13C represent the aberration curves of the embodiment 12 respectively; 
     FIGS. 14A to 14C represent the aberration curves of the embodiment 13 respectively; 
     FIGS. 15A to 15C represent the aberration curves of the embodiment 14 respectively. 
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     The following description is provided to enable any person skilled in the optical and camera field to make and use the invention and sets forth the best modes contemplated by the inventors for carrying out their invention. Various modifications, however, will remain readily apparent to those skilled in the art, since the generic principles of the present invention have been defined herein specifically to provide a relatively economical and easily manufactured triplet type objective. The derivation of the formulas and the relation of the powers set forth herein can be accomplished with the assistance of a computer. The present invention represents the parameters of a compromise balance of acceptable aberrations which can be relatively easily manufactured to provide a low cost lens system for utilization with a compact lens shutter camera. 
     In the drawings, FIG. 1 shows the position of the lens elements. Values of radii of curvature and axial distances for each lens element and air spaces in the respective embodiments are provided in the accompanying tables set forth herein, and the schematic cross sectional view of FIG. 1 follows the normal conventions of an object at the left-hand side of the drawing and the image plane at the right-hand side. The lens system of all embodiments fulfill the following conditions: 
     
         1.7&lt;N.sub.1 &lt;1.9, 35&lt;ν.sub.1 &lt;50                        (11) 
    
     
         1.4&lt;N.sub.2 &lt;1.65, 27&lt;ν.sub.2 &lt;50                       (12) 
    
     
         1.4&lt;N.sub.3 &lt;1.65, 35&lt;ν.sub.3 &lt;65                       (13) 
    
     wherein, N 2  represents the refractive index of the second lens element (L 2 ), ν 1  represents abbe number of the first lens element (L 1 ), ν 2  represents abbe number of the second lens element (L 2 ) and ν 3  represents abbe number of the third lens element. 
     The following tables 1 to 14 disclose, respectively design parameters of embodiments 1 to 14 of the present invention. In the embodiments L 1 , L 2 , L 3  are the lens elements from the object side, r 1 , r 2 , r 3  . . . is respectively the radius of curvature from the object side, and the d 1 , d 2 , d 3  . . . is respectively the axial thickness including both air spaces and the actual thickness of a lens element. Nd 1 , Nd 2 , Nd 3  is respectively the refractive index of the first through third lens element and νd 1 , νd 2 , νd 3  is respectively the abbe number of the first (L 1 ) through third lens element (L 3 ). A surface with the mark * represents an aspherical surface, whose configuration is defined as follows: ##EQU1## wherein, X represents the coordinate along the optical axis measured from an imaginary plane tangent to the aspherical surface perpendicularly to the optical axis, Y represents the coordinate perpendicular to the optical axis from the optical axis, ri represents a paraxial radius of curvature, and A, B, C, D, . . . is aspherical coefficient. 
     
                       TABLE 1______________________________________[Embodiment 1]______________________________________f = 100 2ω = 64° F.sub.No. 3.5radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.132.638          d.sub.1                12.57 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.275.166          d.sub.2                2.71r.sub.3-126.741          d.sub.3                3.71  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.427.191          d.sub.4                6.00r.sub.554.404          d.sub.5                6.57  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-51.527          b     3.71r.sub.7∞______________________________________      Σd + b = 0.35f      φ.sub.1 = 1.55/f      φ.sub.23 23  -0.40/f      N.sub.1 - N.sub.3 = 0.297______________________________________ 
    
     
                       TABLE 2______________________________________[Embodiment 2]______________________________________f = 100 2ω = 60°  F.sub.No. 3.5radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.132.888          d.sub.1                13.36 Nd.sub.1                            1.78100                                  νd.sub.1                                        44.55r.sub.276.148          d.sub.2                1.97r.sub.3-108.471          d.sub.3                3.42  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.427.718          d.sub.4                6.70r.sub.557.053          d.sub.5                5.53  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-47.602          b     5.26r.sub.7∞______________________________________      Σd + b = 0.36f      φ.sub.1 = 1.53/f      φ.sub.23 = -0.35/f      N.sub.1 - N.sub.3 = 0.290______________________________________ 
    
     
                       TABLE 3______________________________________[Embodiment 3]______________________________________f = 100 2ω= 64°  F.sub.No. 3.5radius of axial      refractive  Abbecurvature distance   index       number______________________________________r.sub.130.47         d.sub.1                11.14 Nd.sub.1                            1.77250                                  νd.sub.1                                        49.77r.sub.272.753         d.sub.2                2.57r.sub.3*-97.730         d.sub.3                3.14  Nd.sub.2                            1.56790                                  νd.sub.2                                        34.6r.sub.425.066         d.sub.4                5.43r.sub.549.947         d.sub.5                6.00  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-50.009         b      3.71r.sub.7∞______________________________________A = 0.0              Σd + b = 0.32fB = 0.15540 × 10.sup.-5                φ.sub.1 = 1.64/fC = -0.22578 × 10.sup.-8                φ.sub.23 = 0.51/fD = 0.38316 × 10.sup.-11                N.sub.1 -N.sub.3 = 0.281E = 0.59368 × 10.sup. -16______________________________________ 
    
     
                       TABLE 4______________________________________[ Embodiment 4]______________________________________f = 100 2ω= 64°  F.sub.No. 3.5radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.134.747          d.sub.1                14.12 Nd.sub.1                            1.8050                                  νd.sub.1                                        40.97r.sub.267.767          d.sub.2                3.53r.sub.3-104.876          d.sub.3                3.71  Nd.sub.2                            1.59160                                  νd.sub.2                                        30.9r.sub.430.319          d.sub.4                5.26r.sub.548.657          d.sub.5                6.78  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6*-49.214          b     3.71r.sub.7∞______________________________________A = 0.0             Σd + b = 0.37fB = 0.13795 × 10.sup.-5               φ.sub.1 = 1.34/fC = 0.42654 × 10.sup.-9               φ.sub.23 = -0.18/fD = 0.66053 × 10.sup.-15               N.sub.1 -N.sub.3 = 0.314E =  0.58736 × 10.sup.-20F = 0.26860 × 10.sup.-25______________________________________ 
    
     
                       TABLE 5______________________________________[ Embodiment 5]______________________________________f = 100 2ω = 64° F.sub.No. 3.5radius of axial      refractive  Abbecurvature distance   index       number______________________________________r.sub.135.498         d.sub.1                15.37 Nd.sub.1                            1.82050                                  νd.sub.1                                        43.00r.sub.258.788         d.sub.2                3.14r.sub.3-98.477         d.sub.3                3.71  Nd.sub.2                            1.59160                                  νd.sub.2                                        30.9r.sub.431.727         d.sub.4                4.35r.sub.546.432         d.sub.5                7.80  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-44.766         b      3.71r.sub.7∞______________________________________A = 0.0             Σd + b = 0.38fB = 0.83081 × 10.sup.-6               φ.sub.1 = 1.19/fC = 0.13132 × 10.sup.-7               φ.sub.23 = 0.004/fD = 0.34506 × 10.sup.-13               N.sub.1 - N.sub.3 = 0.329E = 0.84807 × 10.sup.- 19F = 0.20775 × 10.sup.-24______________________________________ 
    
     
                       TABLE 6______________________________________[ Embodiment 6]______________________________________f = 100 2ω = 64° F.sub.No. 3.5radius of axial      refractive  Abbecurvature distance   index       number______________________________________r.sub.134.668         d.sub.1                15.06 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.258.279         d.sub.2                3.00r.sub.3-90.762         d.sub.3                3.71  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.431.607         d.sub.4                4.30r.sub.542.876         d.sub.5                7.59  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6*-47.054         b      3.71r.sub.7∞______________________________________A = 0.0              Σd + b = 0.37fB = 0.28310 × 10.sup.-5                φ.sub.1 = 1.18/fC = -0.11696 × 10.sup.-8                φ.sub.23 = 0.007/fD = -0.10162 × 10.sup.-13                N.sub.1 - N.sub.3 = 0.297E = - 0.18068 × 10.sup.-19F = -0.11907 × 10.sup.-25______________________________________ 
    
     
                       TABLE 7______________________________________[ Embodiment 7]______________________________________f = 100 2ω = 64° F.sub.No. 2.8radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.132.444          d.sub.1                10.52 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.286.049          d.sub.2                2.57r.sub.3-152.892          d.sub.3                3.42  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.427.815          d.sub.4                7.16r.sub.5*66.730          d.sub.5                7.14  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-54.200          b     4.29r.sub.7∞______________________________________A = 0.0              Σd + b = 0.35fB = -0.55372 × 10.sup.-7                φ.sub.1 = 1.64/fC = 0.79659 × 10.sup.-9                φ.sub.23 = -0.48/fD = 0.29407 × 10.sup.-13                N.sub.1 - N.sub.3 = 0.297E = 0.18795 ×  10.sup.-17F = 0.98693 × 10.sup.-20______________________________________ 
    
     
                       TABLE 8______________________________________[ Embodiment 8]______________________________________f = 100 2ω = 64° F.sub.No. 2.8radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.132.968          d.sub.1                11.09 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.289.664          d.sub.2                2.57r.sub.3-168.474          d.sub.3                3.42  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.4*28.269          d.sub.4                7.62r.sub.569.240          d.sub.5                7.14  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-56.455          b     4.29r.sub.7∞______________________________________A = 0.0              Σd + b = 0.36fB = 0.49278 × 10.sup.-6                φ.sub.1 = 1.64/fC = -0.70317 × 10.sup.-9                φ.sub.23 = -0.48/fD = -0.47634 × 10.sup.-14                N.sub.1 - N.sub.3 = 0.297fE =  -0.23096 × 10.sup.-17F = -0.96018 × 10.sup.-21______________________________________ 
    
     
                       TABLE 9______________________________________[ Embodiment 9]______________________________________f = 100 2ω = 60° F.sub.No. 3.5radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.131.599          d.sub.1                10.19 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.296.621          d.sub.2                2.76r.sub.3*-121.117          d.sub.3                3.15  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.425.934          d.sub.4                8.36r.sub.564.650          d.sub.5                5.01  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-53.464          b     5.26r.sub.7∞______________________________________A = 0.0              Σd + b = 0.35fB = 0.90180 × 10.sup.-6                φ.sub.1 = 1.80/fC = 0.67468 × 10.sup.-11                φ.sub.23 = -0.62/fD = 0.22279 × 10.sup.-12                N.sub.1 - N.sub.3 = 0.297E = 0.13483 ×  10.sup.-13F = -0.52105 × 10.sup.-16______________________________________ 
    
     
                       TABLE 10______________________________________[ Embodiment 10]______________________________________f = 100 2ω = 64° F.sub.No. 3.5radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.130.452          d.sub.1                9.43  Nd.sub.1                            1.78100                                  νd.sub.1                                        44.55r.sub.285.753          d.sub.2                2.57r.sub.3-153.986          d.sub.3                3.42  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.4*25.326          d.sub.4                7.14r.sub.5*66.485          d.sub.5                5.44  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-52.762          b     4.29r.sub.7∞______________________________________A = 0.0      A&#39; = 0.0       Σd + b = 0.32fB = 0.10283 × 10.sup.-5        B&#39; = 0.18452 × 10.sup.-5                       φ.sub.1 = 1.78/fC = 0.83570 × 10.sup.-11        C&#39; = 0.75265 × 10.sup.-10                       φ.sub.23 = - 0.64/fD = 0.26781 × 10.sup.-16        D&#39; = 0.97872 × 10.sup.-12                       N.sub.1 - N.sub.3 = 0.290E = 0.37346 × 10.sup.-20        E&#39; = 0.23635 × 10.sup.-14F = 0.81422 × 10.sup.-25        F&#39; = -0.415123 ×        10.sup.-17______________________________________ 
    
     
                       TABLE 11______________________________________[ Embodiment 11]______________________________________f = 100 2ω = 64° N.sub.No. 2.8radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.131.824          d.sub.1                10.00 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.291.542          d.sub.2                2.57r.sub.3-202.258          d.sub.3                3.42  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.4*26.758          d.sub.4                7.95r.sub.573.592          d.sub.5                7.14  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6*-57.027          b     4.29r.sub.7∞______________________________________A = 0.0       A&#39; = 0.0     Σd + b = 0.35fB = 0.10452 × 10.sup.-5         B&#39; = -0.61739 ×                      φ.sub.1 = 1.74/f         10.sup.-6C = -0.13199 × 10.sup.-9         C&#39; = -0.42239 ×                      φ.sub.23 =  -0.57/f         10.sup.-9D = -0.29700 × 10.sup.-14         D&#39; = -0.15244 ×                      N.sub.1 - N.sub.3 = 0.297         10.sup.-11E = -0.20207 × 10.sup.-17         E&#39; = -0.13200 ×         10.sup.-13F = -0.10080 × 10.sup.-20         F&#39; = 0.10401 ×         10.sup.-16______________________________________ 
    
     
                       TABLE 12______________________________________[ Embodiment 12]______________________________________f = 100 2ω = 64° F.sub.No. 2.8radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.132.150          d.sub.1                10.00 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.299.546          d.sub.2                2.57r.sub.3*-153.739          d.sub.3                3.42  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.427.437          d.sub.4                7.95r.sub.566.224          d.sub.5                7.14  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6*-62.351          b     4.29r.sub.7∞______________________________________A = 0.0       A&#39; = 0.0     Σd + b = 0.35fB = 0.68768 × 10.sup.-6         B&#39; = 0.93209 ×                      φ.sub.1 = 1.77/f         10.sup.-6C = 0.23651 × 10.sup.-9         C&#39; = -0.29337 ×                      φ.sub.23 = -0.61/f         10.sup.-9D = -0.42567 × 10.sup.-14         D&#39; = -0.10900 ×                      N.sub.1 - N.sub.3 = 0.297         10.sup.-12E = -0.68117 × 10.sup.-17         E&#39; = -0.51595 ×         10.sup.-14F = -0.60955 × 10.sup.-20         F&#39; = 0.34096 ×         10.sup.-17______________________________________ 
    
     
                       TABLE 13______________________________________[ Embodiment 13]______________________________________f = 100 2ω = 60° N.sub.No. 3.5radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.132.025          d.sub.1                10.19 Nd.sub.1                            1.78850                                  νd.sub.1                                        45.68r.sub.296.343          d.sub.2                2.76r.sub.3*-125.127          d.sub.3                3.15  Nd.sub.2                            1.58400                                  νd.sub.2                                        31.0r.sub.427.024          d.sub.4                8.36r.sub.5*67.093          d.sub.5                5.01  Nd.sub.3                            1.49140                                  νd.sub.3                                        57.8r.sub.6-54.605          b     5.26r.sub.7∞______________________________________A = 0.0       A&#39; = 0.0     Σd + b = 0.35fB = 0.82271 × 10.sup.-6         B&#39; = -0.44095 ×                      φ.sub.1 = 1.76/f         10.sup.-6C = 0.18044 × 10.sup.-10         C&#39; = -0.29946 ×                      φ.sub.23 =  -0.59/f         10.sup.-11D = 0.74521 × 10.sup.-16         D&#39; = -0.84125 ×                      N.sub.1 - N.sub.3 = 0.297         10.sup.-14E = 0.17643 × 10.sup.-19         E&#39; = -0.20598 ×         10.sup.-14F = 0.11194 × 10.sup.-23         F&#39; = -0.16315 ×         10.sup.-15______________________________________ 
    
     
                       TABLE 14______________________________________[ Embodiment 14]______________________________________f = 100 2ω = 64° F.sub.No. 3.5radius of  axial     refractive  Abbecurvature  distance  index       number______________________________________r.sub.131.254          d.sub.1                11.26 Nd.sub.1                            1.78831                                  νd.sub.1                                        47.32r.sub.270.614          d.sub.2                3.09r.sub.3-132.278          d.sub.3                3.58  Nd.sub.2                            1.584 νd.sub.2                                        31.0r.sub.426.374          d.sub.4                5.73r.sub.552.869          d.sub.5                6.16  Nd.sub.3                            1.4914                                  νd.sub.3                                        57.8r.sub.6-52.869          b     2.58r.sub.7∞S    0______________________________________      Σd + b = 0.32f      φ.sub.1 = 1.58/f      φ.sub.23 = -0.45/f      N.sub.1 - N.sub.3 = 0.297______________________________________