Abstract:
A compact zoom lens constituted of, from an object side, a first lens group having a positive refractive power and a second lens group having a negative refractive power, in which image magnification is varied by adjusting the distance between the two lens groups. The first lens group is composed of a front lens component having a negative refractive power including at least one aspherical surface and a rear lens component having a positive refractive power. The front lens component is composed of the first negative lens and the second meniscus lens. The convex surface of the meniscus lens is directed to the image side. The following inequality is satisfied: υn&lt;35 where υn is the Abbe&#39;s number of the lens which has a stronger negative refractive power of the two lenses in the front component of the first lens group.

Description:
BACKGROUND OF THE INVENTION 
     The present invention relates to a compact zoom lens, and more particularly relates to a compact zoom lens suitably used in a lens shutter camera. 
     Recently, in the field of lens shutter cameras, cameras with thin bodies are widely used in the field of single focal length cameras. Even in the field of zoom lens cameras, there is a great demand for thin type cameras. Therefore, a compact zoom lens, the entire length of which is short, is required. 
     Conventionally, zoom lenses for use in lens shutter cameras, the ratio of variable magnification of which is 1.5 to 2.5, are generally provided with a zoom lens system comprising a first lens group having positive refractive power, and a second lens group having negative refractive power, wherein the first and second lens groups are successively arranged from the object side. For example, the aforementioned zoom lens system is disclosed in Japanese Patent Application Open to Public Inspection No. 128911/1981.  The zoom lens of this system features a telephoto structure, short back focal length, and short total lens length, 
     Due to the progress of the technology of collapsible zoom lens barrels, it has become more important to reduce the lens cost rather than to reduce the total lens length. If the zoom lens is composed of a smaller number of unit lenses, the total lens length can be reduced, so that the camera body can be made thinner. 
     A practical zoom lens meeting the aforementioned demands is disclosed in Japanese Patent Application Open to Public Inspection No. 127008/1991. This zoom lens is composed of a first lens group including 1 to 3 unit lenses, and a second lens group including 1 or 2 unit lenses, so that the total number of lenses is not more than 5. 
     However, in this case, aspherical lenses of a high refractive index are frequently used. For that reason, it is difficult to reduce the cost. In a zoom lens in which the second lens group is a negative lens, the magnification of the second lens group is increased. Therefore, any error caused in the rear portion of the first lens group is extended, and reaches the image surface. Consequently, error sensitivity of this portion is increased. In general, aspherical lenses are made by means of molding, so that the surface accuracy is low compared with spherical glass lenses made by means of grinding. For that reason, the zoom lens disclosed in the aforementioned Patent Application, in which an aspherical surface is formed in the rear portion of the first lens group, is generally difficult to manufacture. 
     Recently, there is a demand for close-up photography, and most zoom cameras can take close-up photographs, the photographing magnification of which is approximately 1/10. 
     In general, however, aberration caused in an optical system is varied when a focusing operation is carried out, and the less the number of lenses, the more the aberration becomes. Therefore, the reduction in the number of lenses was incompatible with the performance of close-up photography. 
     SUMMARY OF THE INVENTION 
     It is a primary object of the present invention to provide a compact zoom lens which is easily manufactured, characterized in that: the zoom lens includes a small number of unit lenses, from 4 to 6, so that the entire lens is small and the cost is low; aberration is excellently corrected; and the performance of the lens is hardly changed when a focusing operation is conducted in close-up photographing. 
     The zoom lens of the present invention includes the first lens group with positive refractive power and the second lens group with negative refractive power, wherein the first and second lens groups are successively disposed from the object side, and the zooming operation for variable magnification is conducted when the distance between the first and the second lens groups is changed. In the aforementioned zoom lens of the present invention, the first lens group is composed of the front component with negative refractive power having at least one aspherical surface, and also composed of the rear component with positive refractive power. In this case, the front component is composed of the first negative lens and the second meniscus lens, the convex surface of which is directed to the image side. At the same time, the following inequality is satisfied: 
     
         υn&lt;35                                              (1) 
    
     where υn is the Abbe&#39;s number of the lens which has a stronger negative refractive power of the two lenses in the front component of the first lens group. 
     In the zoom lens of the present invention, it is preferable that the following conditions are satisfied. 
     
         0.05&lt;|φ.sub.1 a|/φ.sub.1 &lt;0.70   (2) 
    
     
         0.80&lt;φ.sub.1 /|φ.sub.2 |&lt;1.30    (3) 
    
     where φ 1  a is refractive power of the negative front lens component in the first lens group (φ 1  a&lt;0), φ 1  is refractive power of the first lens group, and φ 2  is refractive power of the second lens group (φ 2  &lt;0). 
     As shown in the present invention, in the case of a zoom lens including the first and second lens groups, in order to prevent the occurrence of aberration in the first lens group, the first lens group is generally structured by a triplet type lens component including a positive, a negative and a positive lens component that are successively arranged from the object side, or the first lens group is structured of two components including a negative and a positive lens component. In the case where the entire lens length is limited, the triplet type lens component is advantageous, however, since the restriction on the entire lens length has been alleviated recently, the two group structure is more advantageous for reducing the number of lenses. 
     In the case where the first lens group is structured by the two components including the negative and positive lenses, much spherical aberration is caused in the rear lens component in the first lens group. In the case where the number of lenses is reduced to be as small as possible, it is effective to correct the aberration with an aspherical surface. As described above, the error sensitivity of the positive rear component is high, so the aspherical surface is preferably applied to the front component that is negative. In this case, the aspherical profile is determined so that the negative refractive power increases as it is separated from the optical axis. However, the curved image surface is inclined to the over-direction by the aspherical surface. Therefore, it is difficult to balance spherical aberration and astigmatism. 
     Therefore, according to the present invention, the negative front component in the first lens group includes the first lens and the second meniscus lens, the convex surface of which is directed to the image side. The first lens is a negative lens because its height of the principal ray is large and it is effective for correcting astigmatism caused in the rear component of the first lens group. From the same reason, the aforementioned aspherical surface may be used for this lens. When the second lens is a meniscus lens, the convex surface of which is directed to the image side, an excessive correction of spherical aberration can be prevented, so that the spherical aberration and astigmatism can be balanced. 
     The reason why the second lens is a meniscus lens, the convex surface of which is directed to the image side, is as follows: the increase in eccentric error sensitivity between the first and the second lenses is prevented when the second lens is provided with a meniscus shape so that it does not have a strong positive refractive power, the fourth surface on which the height of rays from an axial object point becomes maximum, is formed into a convex surface so that the spherical aberration in the under direction is caused on the surface. 
     Formula (1) is concerned to the Abbe&#39;s number of one of the lenses of the first lens group, the lens having stronger negative refractive power, and relatively wide dispersion is given to the lens. In the case where the first lens group is divided into two partial lens components as shown in the present invention, the diaphragm is usually disposed close to the rear component of the first lens group in order to prevent the increase in the diameter of the second lens group. Therefore, the magnification chromatic aberration is caused between the front component of the first lens group and the second lens group. The magnification chromatic aberration is caused especially in the second lens group, the height of the principal ray of which is large. Formula (1) is a condition by which the magnification chromatic aberration caused in the second lens group is cancelled, so that the degree of freedom is given to the second lens groups and the aberration correction of the entire lens system can be easily carried out. In the case where the dispersion of the negative lens is decreased exceeding the upper limit of formula (1), it is necessary to correct the magnification chromatic aberration only in the second lens group, which restricts the design of the lens system, and the cost is raised, and further the dimensions of the lens system is disadvantageously increased. 
     Formula (2) relates to the refractive power of the negative front component in the first lens group. When the refractive power exceeds the lower limit, it becomes difficult to correct spherical aberration and longitudinal chromatic aberration. When the refractive power exceeds the upper limit, the negative refractive power excessively acts on a position not on the optical axis, so that the image surface is curved excessively to the over-direction, and at the same time, the height of rays from an axial object point is increased in the positive rear component, so that spherical aberration of a high order tends to be generated. 
     Formula (3) relates to a ratio of the refractive power of the first lens group and that of the second group. Formula (2) prescribes the amount of movement of the second lens group in the case of zooming. 
     When the focal length of the entire system is f t  at the telephoto end, and the focal length is f w  at the wide-angle end, the amount of movement ΔX 2  of the second lens group can be expressed as follows. 
     
         ΔX.sub.2 =(φ.sub.1 /|φ.sub.2 |)·(f.sub.t -f.sub.w)                   (4) 
    
     In the above formula, f t  and f w  are determined by the lens specification. Therefore, ΔX 2  is controlled by the value of φ 1  /|φ 2  |. When |φ 2  | is increased with respect to φ 1  exceeding the lower limit defined by the formula (3), the positive distortion generated in the second lens group is increased. When |φ 2  | is decreased with respect to φ 1  exceeding the upper limit, the value of ΔX 2  is increased, so that the lens dimensions are increased even when the collapsible structure is applied. 
     The present invention is to provide a second structure of a zoom lens including a first lens group of positive refractive power and a second lens group of negative refractive power, the first and second lens groups being successively arranged from the object side, variable magnification being carried out when the interval of both lens groups is changed, wherein the first lens group includes a front lens component provided with one lens of low refractive power having at least one aspherical surface, and a rear lens component of positive refractive power. 
     In the zoom lens of the present invention, it is preferable that the following conditions are satisfied. 
     
         -0.20&lt;φ.sub.a a/φ.sub.1 &lt;0.20                      (5) 
    
     
         0.80&lt;φ.sub.1 |φ.sub.2 |&lt;1.30     (6) 
    
     where φ 1  a is refractive power of the front lens component in the first lens group, φ 1  is refractive power of the first lens group, and φ 2  is refractive power of the second lens group (φ 2  &lt;0). 
     As shown in the present invention, in the case of a zoom lens including the first and second lens groups, in order to prevent the occurrence of aberration in the first lens group, the first lens group is generally structured by a triplet type lens component including a positive, a negative and a positive lens component that are successively arranged from the object side, or the first lens group is structured by two components including a negative and a positive lens component. In the case where the entire lens length is limited, the triplet type lens component is advantageous, however, since the restriction on the entire lens length has been alleviated recently, the two groups structure is more advantageous for reducing the number of lenses. 
     As described above, in the case where the first lens group includes the negative and positive components, the negative front component in the first lens group functions to correct the spherical aberration and astigmatism generated in the positive rear component. When this power becomes too strong, the height at which rays of an on-axial object point cross upon the positive rear component is increased, so that the spherical aberration is disadvantageously increased. 
     For that reason, in the present invention, the front component in the first lens group is composed of a piece of lens of low refractive power, and at least one aspherical surface is utilized. In this manner, the spherical aberration and astigmatism are corrected. In this case, the profile of the aspherical surface is determined so that the negative refractive power is increased as it is separated from the optical axis. This aspherical surface also functions to cancel the positive distortion that is generated in the second lens group. 
     Formula (5) relates to the refractive power of the front component in the first lens group. When the negative refractive power is increased exceeding the lower limit, the spherical aberration is increased as described above. When the positive refractive power is increased exceeding the upper limit, the effect of the aspherical surface is reduced, so that the spherical aberration, astigmatism and distortion are deteriorated, and the longitudinal chromatic aberration is also increased. 
     Formula (6) relates to a ratio of the refractive power of the first lens group and that of the second group. Formula (6) prescribes the amount of movement of the second lens group in the case of zooming. 
     When the focal distance of the entire system is f t  at the telephoto end, and the focal length is f w  at the wide-angle end, the amount of movement ΔX 2  of the second lens group can be expressed as follows. 
     
         ΔX.sub.2 =(φ.sub.1 /|φ.sub.2 |)·(f.sub.t -f.sub.w)                   (7) 
    
     In the above formula, f t  and f w  are determined by the lens specification. Therefore, ΔX 2  is controlled by the value of φ 1  /|φ 2  |. When |φ 2  | is increased with respect to φ 1  exceeding the lower limit defined by the formula (6), the positive distortion generated in the second lens group is increased. When |φ 2  | is increased with respect to φ 1  exceeding the upper limit, the value of ΔX 2  is increased, so that the lens dimensions are increased even when the collapsible structure is applied. 
     The present invention is to provide the third structure of a zoom lens including a first lens group of positive refractive power and a second lens group of negative refractive power, the first and second lens groups being successively arranged from the object side, variable magnification being carried out when the interval of both lens groups is changed, wherein the first lens group includes two lenses, the concave surfaces of which are faced to each other, and a diaphragm is provided in the rear of the first lens group. 
     In the aforementioned zoom lens of the invention including the first positive component and the second negative component, a focusing operation is carried out when the first lens group is moved forward or the second lens group is moved backward. Usually, the focusing operation is carried out when the first lens group is moved, considering the lens diameter and the amount of lens movement. Therefore, in the present invention, the focusing operation is carried out when the first lens group is moved. 
     The change of aberration is caused during a focusing operation mainly when the object distance for each lens in the focusing lens component is changed. For simplification, it is assumed that all lenses are thin, and the equations of third order aberrations with respect to thin lenses are referred to here. (Reference: &#34;Lens Design Method&#34; by Kichiya Matsui published by Kyoritsu Shuppan Co.) 
     
         Im=hm.sup.4 Am                                             (8) 
    
     
         IIm=hm.sup.3 HmAm+hm.sup.2 Bm                              (9) 
    
     
         IIIm=hm.sup.2 Hm.sup.2 Am+2hmHmBm+φm                   (10) 
    
     
         IVm=IIIm+Pm                                                (11) 
    
     
         Vm=hmHm.sup.3 Am+3Hm.sup.2 Bm+(Hm/hm) (3φm+Pm)         (12) 
    
     where 
     I m  : spherical aberration coefficient of the m-th thin lens 
     II m  : coma coefficient of the m-th thin lens 
     III m  : astigmatism coefficient of the m-th thin lens 
     IV m  : curvature of field coefficient of the m-th lens 
     V m  : distortion coefficient of the m-th lens 
     h m  : height of paraxial rays from an on-axial object point at the m-th thin lens 
     H m  : height of paraxial principal rays at the m-th thin lens 
     φ m  : refractive power of the m-th thin lens 
     In the above equations, A m  and B m  are values determined by the profile and position of the object. When the profile is constant, values of A m  and B m  are changed by the position of the object. 
     As described above, aberration is changed by a focusing operation when the object position is changed, that is, the values of A m  and B m  are changed. Therefore, it can be understood that: in order to reduce the changes of I m  to V m  caused when A m  and B m  are changed, hm and Hm are reduced. In this case, the value of h m  is mainly determined by the zoom type, so that it is necessary to reduce H m . In order to reduce H m , it is preferable that the first lens group is provided with a between-diaphragm type, rather than a behind-diaphragm type. The object of providing the between-diaphragm type can be accomplished when the principal ray of off-axis light flux crosses the optical axis in the first lens group, and it is not necessary to substantially provide the between-diaphragm type in the first lens group. In the case where the diaphragm is provided in the first lens group and moved together with the first lens group for focusing, the mechanism becomes complicated and large-sized. Therefore, the lens can not be made compact and the cost is increased. For that reason, in the present invention, even though the behind-diaphragm type is adopted, the light flux is restricted in the first lens group so that H m  =0. 
     From the equation (10) expressing the astigmatism coefficient, it can be understood that the value of III m  is φ m  even when H m  =0. This shows that: when H m  is zero or a small value, III m  does not depend on the profile; and when the value of φ m  is large, it is necessary to cancel it with other lenses. 
     When a positive lens is disposed in a position close to H m  =0, and φ m  is a large positive value, it is cancelled when a negative lens is disposed in a position where the value of height H of the principal ray is large. When the power of this negative lens is φ n , and the astigmatism coefficient is III n , it is necessary to determine the profile of the negative lens so that the following inequality can be satisfied. 
     
         |IIIn|&gt;≡φ.sub.n | 
    
     In the structure in which one aberration coefficient is cancelled by strong positive and negative components, the correction of other aberrations is limited, and further error sensitivity is increased, so that difficulty is caused in the manufacturing process. 
     On the other hand, in the case where a weak negative lens is disposed in a position close to H m  =0, a positive lens is disposed in a position where the value of height H of the principal ray is large. When the power of this positive lens is φ p , and the astigmatism coefficient is III p , it is possible to determine the profile of the positive lens so that the following inequality can be satisfied. 
     
         III.sub.p &lt;φ.sub.p 
    
     As a result of the foregoing, the aberration coefficient of each lens can be reduced, and the entire aberration correction can be easily carried out, and further error sensitivity can be reduced. 
     The above discussion concerns thin lenses. When a surface is considered to be an optical element, the above discussion can be extended to the individual surface. 
     As a result of the foregoing, in the present invention, two lenses, the concave surfaces of which are faced to each other, are disposed in the first lens group, and the principal ray crosses the optical axis at a position close to the second concave surface. When the lenses are structured in this manner, the first lens group becomes symmetrical with respect to a point of intersection of the principal ray and the optical axis, so that it becomes easy to cancel various aberrations. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a sectional view of Example 1 of the present invention; 
     FIG. 2 is a sectional view of Example 2 of the present invention; 
     FIG. 3 is a sectional view of Example 3 of the present invention; 
     FIG. 4 is a sectional view of Example 4 of the present invention; 
     FIG. 5 is a sectional view of Example 5 of the present 
     FIGS. 6(a)-(i) are aberration diagrams of Example 1; 
     FIGS. 7(a)-(i) are aberration diagrams of Example 2; 
     FIGS. 8(a)-(i) are aberration diagrams of Example 3; 
     FIGS. 9(a)-(i) are aberration diagrams of Example 4; 
     FIGS. 10(a)-(i) are aberration diagrams of Example 5; 
     FIG. 11 is a sectional view of Example 6 of the invention; 
     FIG. 12 is a sectional view of Example 7 of the invention; 
     FIGS. 13(a)-(i) are aberration diagrams of Example 6; 
     FIGS. 14(a)-(i) are aberration diagrams of Example 7; 
     FIG. 15 is a sectional view of Example 8 of the present invent ion; 
     FIG. 16 is a sectional view of Example 9 of the present invent ion; 
     FIGS. 17(a)-(i) are aberration diagrams of Example 8 of the present invention; 
     FIGS. 18(a)-(i) are aberration diagrams of Example 9 of the present invention; 
     FIG. 19 is a sectional view of Example 10 of the zoom lens of the present invention; 
     FIGS. 20(a)-(i) are aberration curve diagrams in the case where the object distance is infinite in Examples 8 to 10; and 
     FIGS. 21(a)-(i) are aberration curve diagrams in the case where the object distance is 0.5 m in Examples 8 to 10. 
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Examples 1 to 7 of the present invention will be explained as follows. In the table, f is a focal distance of the entire lens system, F is an F-number, ω is a half angle of view, R is a paraxial radius of curvature, D is an on-axis interval of surfaces, N is a refractive index with respect to a d-line, and υ is Abbe&#39;s number. Mark * represents a aspherical surface. The profile of the aspherical surface can be expressed by Equation 1 wherein the rectangular coordinates are used in which the origin is the vertex of the surface and the X axis is established in the optical axis direction, and wherein the paraxial curvature is c, the conical coefficient is K, and the aspherical coefficient is Ai (i=4, 6, 8). ##EQU1## 
     EXAMPLE 1 
     
         ______________________________________f = 38.99-58.96 F5.4-8.2 2ω = 56.6°-40.0°Surface No. R        D        N     ν______________________________________ 1*          23.789  1.50     1.58300                               30.0 2           20.031  2.00 3          -16.145  1.50     1.58300                               30.0 4          -17.114  3.00 5           59.172  0.80     1.67270                               32.1 6           18.958  3.00     1.51633                               64.1 7          -12.834  A 8          -36.946  2.80     1.58300                               30.0 9*         -18.068  4.1510           -9.556  1.20     1.65844                               50.911          -93.747______________________________________   f    A______________________________________   38.99        10.05   47.73         7.24   58.96         4.85______________________________________Aspherical surface coefficientFirst surface      Ninth surface______________________________________K =      0.96015       K =      0A.sub.4 =   -0.12086 × 10.sup.-3                  A.sub.4 =                          -0.59803 × 10.sup.-4A.sub.6 =   -0.15357 × 10.sup.-5                  A.sub.6 =                          -0.47589 × 10.sup.-6A.sub.8 =    0             A.sub.8 =                          -0.60761 × 10.sup.-8   |φ.sub.1 a|/φ.sub.1 = 0.117                          φ.sub.1 /|φ.sub.2                          | = 0.97______________________________________ 
    
     EXAMPLE 2 
     
         ______________________________________f = 39.02-69.05 F5.4-9.5 2ω = 56.7°-34.8°Surface No. R        D        N     ν______________________________________ 1*          35.727  1.50     1.58300                               30.0 2           25.259  2.00 3*         -13.000  1.50     1.49200                               57.0 4          -14.808  3.00 5           37.908  0.80     1.62004                               36.3 6           15.625  3.00     1.51633                               64.1 7          -14.475  A 8*         -38.402  3.80     1.58300                               30.0 9          -22.163  4.5810          -10.460  1.20     1.65844                               50.911          -60.305______________________________________   f    A______________________________________   39.02        11.45   53.02         6.93   69.05         4.01______________________________________Aspherical surface coefficient______________________________________First surface      Third surfaceK =      0.53539       K =      0.89031A.sub.4 =   -0.10701 × 10.sup.-3                  A.sub.4 =                           0.71121 × 10.sup.-4A.sub.6 =   -0.49724 × 10.sup.-6                  A.sub.6 =                          -0.11869 × 10.sup.-6A.sub.8 =    0             A.sub.8 =                           0Eighth surfaceK =     0A.sub.4 =   0.50685 × 10.sup.-4A.sub.6 =   0.15302 × 10.sup.-6A.sub.8 =   0.34529 × 10.sup.-8   |φ.sub.1 a|/φ.sub.1 = 0.244                      φ.sub.1 /|φ.sub.2 |                      = 0.01______________________________________ 
    
     EXAMPLE 3 
     
         ______________________________________f = 39.01-58.98 F5.4-8.2 2ω = 56.9°-40.0°Surface No. R        D        N     ν______________________________________ 1*          20.000  1.50     1.58300                               30.0 2           18.000  1.80 3          -18.000  1.50     1.58300                               30.0 4*         -20.000  3.00 5           125.940 0.80     1.67270                               32.1 6           22.226  3.00     1.51633                               64.1 7          -10.993  A 8          -28.401  2.80     1.58300                               30.0 9*         -15.595  3.8310           -8.866  1.20     1.65844                               50.911          -67.663______________________________________   f    A______________________________________   39.01        9.31   48.07        6.70   58.98        4.63______________________________________Aspherical surface coefficient______________________________________First surface      Fourth surfaceK =      0             K =     0A.sub.4 =   -0.85000 × 10.sup.-4                  A.sub.4 =                          0.85000 × 10.sup.-4A.sub.6 =   -0.95000 × 10.sup.-6                  A.sub.6 =                          0.95000 × 10.sup.-6A.sub.8 =    0             A.sub.8 =                          0Ninth surface K =     0A.sub.4 =   -0.81359 × 10.sup.-4A.sub.6 =   -0.62893 × 10.sup.-6A.sub.8 =   -0.11203 × 10.sup.-7   |φ.sub.1 a|/φ.sub.1 = 0.11                      φ.sub.1 /|φ.sub.2 |                      = 0.97______________________________________ 
    
     EXAMPLE 4 
     
         ______________________________________f = 39.03-59.09 F5.4-8.2 2ω = 58.0°-40.7°Surface No. R        D        N     ν______________________________________ 1*          37.025  1.50     1.58300                               30.0 2           17.144  2.00 3          -15.926  1.50     1.58300                               30.0 4*         -18.135  3.00 5           36.605  3.00     1.48749                               70.2 6          -11.519  A 7          -25.392  2.80     1.49200                               57.0 8*         -12.584  3.15 9           -9.518  1.20     1.65844                               50.910          -73.752______________________________________   f    A______________________________________   39.03        10.14   48.10         7.11   59.09         4.68______________________________________Aspherical surface coefficient______________________________________First surface      Fourth surfaceK =      0.30871 × 10                  K =     0A.sub.4 =   -0.16594 × 10.sup.-3                  A.sub.4 =                          0.21702 × 10.sup.-4A.sub.6 =   -0.40124 × 10.sup.-6                  A.sub.6 =                          0.21110 × 10.sup.-5A.sub.8 =    0             A.sub.8 =                          0Eighth surfaceK =      0A.sub.4 =   -0.32581 × 10.sup.-4A.sub.6 =   -0.94637 × 10.sup.-7A.sub.8 =   -0.67484 × 10.sup.-8   |φ.sub.1 a|/φ.sub.1 = 0.479                      φ.sub.1 /|φ.sub.2 |                      = 1.16______________________________________ 
    
     EXAMPLE 5 
     
         ______________________________________f = 39.08-58.88 F5.4-8.2 2ω = 56.7°-40.1°Surface No. R        D        N     ν______________________________________ 1*           51.085 1.50     1.58300                               30.02             27.686 2.003            -15.695 1.50     1.58300                               30.0 4*          -21.513 3.005             49.394 3.00     1.48749                               70.26            -12.980 A 7*          -15.737 2.00     1.49200                               57.08           -322.230______________________________________   f    A______________________________________   39.08        23.49   49.02        18.46   58.88        15.15______________________________________Aspherical surface coefficient______________________________________First surface      Fourth surfaceK =      0.49595 × 10                  K =     -0.71268 × 10A.sub.4 =   -0.10402 × 10.sup.-3                  A.sub.4 =                          -0.87871 × 10.sup.-4A.sub.6 =   -0.58816 × 10.sup.-6                  A.sub.6 =                           0.12684 × 10.sup.-5A.sub.8 =    0             A.sub.8 =                           0Seventh surfaceK =      0A.sub.4 =   -0.17132 × 10.sup.-4A.sub.6 =   -0.52534 × 10.sup.-7A.sub.8 =    0.51979 × 10.sup.-9   |φ.sub.1 a|/φ.sub.1 = 0.527                      φ.sub.1 /|φ.sub.2 |                      = 1.17   fw · |φ.sub.2 | = 1.16______________________________________ 
    
     EXAMPLE 6 
     
         ______________________________________f = 36.03-68.45 F3.9-7.4 2ω = 60.0°-34.8°Surface No. R        D        N     ν______________________________________ 1*          38.140  1.50     1.58300                               30.0 2           30.109  2.00 3*         -12.451  1.50     1.58300                               30.0 4          -13.136  3.00 5           42.264  0.80     1.62004                               36.3 6           16.188  3.00     1.48749                               70.2 7          -13.420  A 8*         -40.381  2.86     1.58300                               30.0 9          -22.740  4.4610           -9.897  1.20     1.71300                               53.911          -53.394______________________________________   f    A______________________________________   36.03        11.94   49.73         7.73   68.45         4.70______________________________________Aspherical coefficient______________________________________First surface      Third surfaceK =     -0.62371       K =     0.11010 × 10A.sub.4 =   -0.11580 × 10.sup.-3                  A.sub.4 =                          0.75870 × 10.sup.-4A.sub.6 =   -0.86652 × 10.sup.-6                  A.sub.6 =                          0.84380 × 10.sup.-5A.sub.8 =    0             A.sub.8 =                          0 Eighth surfaceK =     0A.sub.4 =   0.73028 × 10.sup.-4A.sub.6 =   0.70097 × 10.sup.-7A.sub.8 =   0.65497 × 10.sup.-8   |φ.sub.1 a|/φ.sub.1 = 0.094                      φ.sub.1 /|φ.sub.2 |                      = 0.91______________________________________ 
    
     EXAMPLE 7 
     
         ______________________________________f = 36.01-68.99 F3.9 = 7.4 2ω = 61.1°-34.7°Surface No. R        D        N     ν______________________________________ 1*          -50.000 1.50     1.58300                               30.0 2          -251.018 1.50 3*          -12.236 1.50     1.58300                               30.0 4           -11.911 3.00 5            34.631 0.80     1.62004                               36.3 6            15.016 3.00     1.48749                               70.2 7           -13.879 A 8*          -43.870 2.86     1.58300                               30.0 9           -24.496 4.4510           -9.671  1.20     1.71300                               53.911           -52.563______________________________________   f    A______________________________________   36.01        11.33   50.09         7.43   68.99         4.70______________________________________Aspherical coefficient______________________________________First surface      Third surfaceK =      0.62716 × 10                  K =      0.81811A.sub.4 =   -0.17642 × 10.sup.-3                  A.sub.4 =                           0.93811 × 10.sup.-4A.sub.6 =    0.24266 × 10.sup.-6                  A.sub.6 =                          -0.48503 × 10.sup.-6A.sub.8 =    0             A.sub.8 =                           0Eighth surfaceK =     0A.sub.4 =   0.78990 × 10.sup.-4A.sub.6 =   0.10881 × 10.sup.-6A.sub.8 =   0.72483 × 10.sup.-8   |φ.sub.1 a|/φ.sub.1 = 0.124                      φ.sub.1 /|φ.sub.2 |                      = 0.91______________________________________ 
    
     In these examples, aspherical surfaces are used in the second lens group. In Example 1 to Example 4, and also in Example 6 and 7, the aspherical surfaces are determined so that the off-axis negative refractive power of the entire second lens group can be weakened, and positive distortion is corrected in the position of wide angle. 
     On the other hand, in Example 5 in which the second lens group is composed of one piece of negative lens, the aspherical surface is used so that the off-axis negative refractive power can be strengthened in order to prevent the image surface from inclining to the &#34;under&#34; direction in an intermediate focal length. At this time, positive distortion tends to occur in the second lens group. Therefore, when the second lens group is composed of one piece of negative lens, the following conditions may be satisfied. 
     
         1.00&lt;fw·|φ.sub.2 |&lt;1.30     (13) 
    
     Equation (13) relates to the refractive power of the second lens group. When |φ 2  | is reduced and exceeds the lower limit, the amount of movement of the second lens group is increased, so that the dimensions of the lens need to be increased. When |φ 2  | is increased and exceeds the upper limit, the positive distortion is increased in the wide angle position. In Example 5 described before, fw·|φ 2  |=1.16. 
     In the case where the rear lens component in the first lens group is composed of one piece of positive lens as shown in Examples 4 and 5, the following equation, shown in equation (2), is preferably utilized. 
     
         0.30&lt;|φ.sub.1 a|&lt;0.70                (14) 
    
     Equation (14) is a condition for giving a stronger negative refractive power to the front lens component and effectively correcting the longitudinal chromatic aberration. 
     In the third example, the negative lens component in the first lens group includes two pieces of negative lenses, the profile and material of which are the same. As a result of the foregoing, the manufacturing cost can be reduced when the lenses are made by means of molding. 
     Although the F-number is 5.4 at the wide-angle end of the lens in the aforementioned examples, a brighter lens can be provided without applying new technology when the number of lenses is increased or an aspherical lens of high refractive index is used. Examples 8 and 9 are shown below. In the table, f is a focal length of the entire lens system, F is an F-number, ω is a half angle of view, R is a paraxial radius of curvature, D is an on-axis interval of surfaces, N is a refractive index with respect to a d-line, and υ is Abbe&#39;s number. Mark * represents an aspherical surface. The profile of the aspherical surface can be expressed by Equation 2 wherein the rectangular coordinates are used in which the origin is the vertex of the surface and the X axis is established in the optical axis direction, and wherein the paraxial curvature is c, the conical coefficient is K, and the aspherical coefficient is Ai (i=4, 6, 8). ##EQU2## 
     EXAMPLE 8 
     
         ______________________________________f = 39.03-59.01 F4.5-6.8 2ω = 56.6°-40.0°Surface No. R        D        N     ν______________________________________ 1*           20.000 2.00     1.58300                               30.02             21.121 6.003           -789.940 0.70     1.78472                               25.74             30.188 2.00     1.58913                               61.25            -12.974 A6            -35.699 3.00     1.58300                               30.0 7*          -15.525 3.128            -8.538  1.20     1.56883                               56.39           -121.190______________________________________   f    A______________________________________   39.03        9.45   47.87        6.15   59.01        3.40______________________________________Aspherical surface coefficientFirst surface      Seventh surface______________________________________K =      0.83474       K =      0A.sub.4 =   -0.11658 × 10.sup.-3                  A.sub.4 =                          -0.93830 × 10.sup.-4A.sub.6 =   -0.67049 × 10.sup.-6                  A.sub.6 =                          -0.50183 × 10.sup.-6A.sub.8 =   -0.16389 × 10.sup.-7                  A.sub.8 =                          -0.10759 × 10.sup.-7A.sub.10  =    0.90363 × 10.sup.-10                  A.sub.10 =                          -0.15165 × 10.sup.-9φ.sub.1 a/φ.sub.1 = 0.07             φ.sub.1 /|φ.sub.2 | =______________________________________             1.04 
    
     EXAMPLE 9 
     
         ______________________________________f = 39.02-58.99 F4.5-6.8 2ω = 56.6°-40.1°Surface No. R        D        N     ν______________________________________ 1*           20.000 2.00     1.49200                               57.02             21.591 5.803           -174.630 2.50     1.58913                               61.24            -8.989  0.70     1.78472                               25.75            -12.465 A6            -23.545 3.00     1.58300                               30.0 7*          -14.443 3.788            -8.722  1.20     1.56883                               56.39            -57.066______________________________________   f    A______________________________________   39.02        9.24   47.95        5.89   58.99        3.14______________________________________Aspherical surface coefficientFirst surface      Seventh surface______________________________________K =      0.39012 × 10                  K =      0A.sub.4 =   -0.16901 × 10.sup.-3                  A.sub.4 =                          -0.71096 × 10.sup.-4A.sub.6 =   -0.10774 × 10.sup.-5                  A.sub.6 =                          -0.10109 × 10.sup.-6A.sub.8 =   -0.16737 × 10.sup.-7                  A.sub.8 =                          -0.20585 × 10.sup.- 7A.sub.10 =    0.80349 × 10.sup.-11                  A.sub.10 =                           0.17804 × 10.sup.-10   φ.sub.1 a/φ.sub.1 = 0.07                          φ.sub.1 /|φ.sub.2                          | = 1.08______________________________________ 
    
     In both examples, in order to correct the longitudinal chromatic aberration, the rear lens component in the first lens group includes one positive and one negative lens. An aspherical surface is used for the second lens group so that the off-axis negative refractive power can be reduced as the entire second lens component. In this manner, positive distortion is corrected at the wide-angle position. 
     As explained above, the zoom lens of the present invention is composed of an extremely small number of lenses, and the entire lens length is short and the manufacturing cost is low. In spite of the aforementioned advantages, the aberration of the zoom lens can be excellently corrected over the entire variable magnification range, and the lens can be made compact and its manufacture is easy. 
     Example 10 of the zoom lens of the present invention is shown as follows. It is desirable that the following conditions are satisfied in this example. 
     
         0.05&lt;φwDe&lt;0.13                                         (15) 
    
     
         -0.20&lt;φ.sub.1 a/φ.sub.1 &lt;0.20                      (16) 
    
     
         0.80&lt;φ.sub.a /|φ.sub.2 |&lt;1.30    (17) 
    
     where 
     φ 1  : refractive power of the first lens group 
     φ 2  : refractive power of the second lens group (φ 2  &lt;0) 
     φw: refractive power of the entire system at the wide-angle end 
     φ 1  a: refractive power of the front lens component in the case where the first lens group is divided into the front and rear lens components at a position between the two concave surfaces 
     De: on-axis thickness of the rear lens component 
     Inequality (15) relates to the on-axis thickness of the rear lens component in the case where the first lens group is divided into the front and rear lens components at a position between the two concave surfaces faced to each other. When the on-axis thickness is reduced exceeding the lower limit, the astigmatism is increased. When the on-axis thickness is increased exceeding the upper limit, an eclipse tends to be generated when the diaphragm is reduced in the structure of the present invention in which the principal ray crosses the optical axis in the first lens group. Inequality (16) relates to the refractive power of the front lens component in the first lens group. When the negative refractive power is reduced exceeding the lower limit, the height of a ray from an on-axial object point is increased in the positive rear lens component, so that it becomes difficult to correct the spherical aberration. When the positive refractive power is increased exceeding the upper limit, it becomes difficult to correct the chromatic aberration generated in the first lens group. 
     Inequality (17) relates to the ratio of refractive power of the first and second lens groups. The amount of the movement of the second lens group in the process of zooming is prescribed. 
     When the refractive power of the entire system at the telephoto end is φt, the amount of the movement ΔX 2  of the second lens group is expressed as follows. 
     
         ΔX.sub.2 =(φ.sub.1 /|φ2|){(1/φ.sub.t)-(1/φ.sub.w)}(18) 
    
     In this case, φ w  and φ t  are determined according to the specification of the lens, ΔX 2  is controlled by φ 1  and |φ2|. When |φ2| is increased with respect to φ 1  exceeding the lower limit of inequality (17), the positive distortion generated in the second lens group is increased, and when |φ2| exceeds the upper limit, ΔX 2  is increased, so that the lens dimensions are increased. 
     FIG. 19 is a sectional view of the zoom lens of this example. As shown in the drawing, the first lens group includes two pieces of positive meniscus lenses, the concave surfaces of which are faced to each other. When a negative lens is disposed on the object side of this pair of positive lenses, the longitudinal chromatic aberration is corrected. The first and second lenses are provided with an aspherical surface so that the off-axial negative refractive power is increased (in other words, the positive refractive power is weak). In this case, the aspherical surface of the first lens, the height of a principal ray of which is high, corrects the astigmatism generated in the rear component in the first lens group, and also corrects the positive distortion generated in the second lens group. The aspherical surface of the second lens corrects the spherical aberration generated in the rear lens component of the first lens group. The second lens is provided with an aspherical surface so that the off-axial positive refractive power is increased (in other words, the negative refractive power is weak), and the positive distortion is corrected. 
     In the table, f is a focal distance of the entire lens system, F is an F-number, (ω is a half angle of view, R is a paraxial radius of curvature, D is an on-axis interval of surfaces, N is a refractive index with respect to a d-line, and υ is Abbe&#39;s number. Mark * represents an aspherical surface. The profile of the aspherical surface can be expressed by the aforementioned Equation 1 wherein the rectangular coordinates are used in which the origin is the vertex of the surface and the X axis is established in the optical axis direction, and wherein the paraxial curvature is c, the conical coefficient is K, and the aspherical coefficient is Ai (i=4, 6, 8). 
     
         ______________________________________f = 39.00-59.03 F5.4-8.2 2ω= 56.5°-39.9°Surface No. R        D        N     ν______________________________________ 1            80.141 1.50     1.58300                               30.0 2*           11.688 0.30 3            7.638  2.00     1.49200                               57.0 4*           20.494 4.00 5           -39.636 3.45     1.79952                               42.2 6           -14.418 A 7           -72.663 3.00     1.49200                               57.0 8*          -19.439 3.68 9           -12.130 1.20     1.70154                               41.210          -146.620______________________________________   f    A______________________________________   39.00        11.64   47.73         7.43   59.03         3.82______________________________________Aspherical surface coefficient______________________________________Second surface     Fourth surfaceK =     -0.10509 × 10                  K =     0.12180 × 10.sup.2A.sub.4 =    0.15149 × 10.sup.-4                  A.sub.4 =                          0.28025 × 10.sup.-3A.sub.6 =   -0.13595 × 10.sup.-6                  A.sub.6 =                          0A.sub.8 ll =    0             A.sub.8 =                          0Eight surfaceK =      0A.sub.4 =   -0.32639 × 10.sup.-4A.sub.6 =   -0.25120 × 10.sup.-6A.sub.8 =   -0.12684 × 10.sup.-8φwDe = 0.088, φ.sub.1 a/φ.sub.1 = 0.025, φ.sub.1 /.vertline.φ.sub.2 | = 1.1Q5______________________________________ 
    
     FIGS. 20(a) to 20(i) and FIGS. 21(a) to 21(i) are aberration curves of an example of the zoom lens of the present invention, in the case where the object distance is infinity and 0.5 m. In the diagrams, &#34;d&#34; and &#34;g&#34; respectively show the spherical aberration with respect to d and g lines, and ΔS and ΔM respectively show the sagittal image surface and the meridional image surface. As shown in FIGS. 21(a) to 21(i), the change of performance is slight in a short distance. Especially, it is noteworthy that the change of performance is small at the telephoto end where the magnification is the largest. At this time, the magnification is approximately 1/7. In this case, the object corresponds to B5 size in the case of a 35 mm camera. 
     In this example, although the F-number is 5.4 at the wide-angle end, a brighter lens can be provided without applying new technology when the number of lenses is increased or an apherical lens of high refractive index is used. 
     As explained above, according to the present invention, although the lens is made compact and its manufacturing cost is reduced, the aberration of the lens can be excellently corrected, and the change of the performance of the lens is slight in a focusing operation.