Abstract:
A positive-negative-positive-positive four group zoom lens system capable of achieving about 30 times variable magnification, the positive-negative-positive-positive four group zoom lens system including, sequentially from an object side to an image side: a first lens group having positive refractive power; a second lens group having negative refractive power; a third lens group having positive refractive power; and a fourth lens group having positive refractive power, wherein the first lens group includes one negative lens, the second lens group includes one positive lens, the third lens group includes a positive lens, the fourth lens group includes at least one positive lens, and a first condition, 0.03&lt;|f 2 /f t |&lt;0.08, is satisfied, wherein f 2  denotes a focal length of the second lens group and f t  denotes a focal length of the zoom lens system in a telephoto position.

Description:
CROSS-REFERENCE TO RELATED PATENT APPLICATIONS 
       [0001]    This application claims priority from Japanese Patent Application No. 2011-265489, filed on Dec. 5, 2011, in the Japan Patent Office, and Korean Patent Application No. 10-2012-0117907, filed on Oct. 13, 2012, in the Korean Intellectual Property Office, the disclosures of which are incorporated herein by reference in their entirety. 
       BACKGROUND 
       [0002]    1. Field 
         [0003]    Apparatuses consistent with exemplary embodiments relate to a zoom lens system and a photographing apparatus using the same, and more particularly, to a zoom lens system applicable to a camera such as a surveillance camera, a video camera, a digital still camera, or a broadcasting camera, and a photographing apparatus, not being limited thereto, using the zoom lens system. 
         [0004]    2. Description of the Related Art 
         [0005]    In the related art, a positive-negative-positive-positive four group zoom lens system is known as an example of a zoom lens system having high image quality and high magnification, and suitable to a surveillance camera, a video camera, a digital still camera, or a broadcasting camera. The positive-negative-positive-positive four group zoom lens system includes a first lens group having positive refractive power, a second lens group having negative refractive power, a third lens group having positive refractive power, and fourth lens group having positive refractive power, sequentially from an object side. During variable magnification (also known as “zooming”) from a wide-angle position to a telephoto position, the first and third lens groups are fixed in an optical axis direction, the second lens group move from an object side to an image side, and the fourth lens group moves in the optical axis direction so as to compensate for an image plane change generated as the second lens group move from an object side to an image side while performing a focusing function, i.e., focusing. 
         [0006]    Recently, it has been required to obtain an optical performance corresponding to a high pixel photographing apparatus and maintain a satisfactory performance even during short distance focusing. JP 2010-139724 (hereinafter, referred to as “a patent reference 1”) discloses a method of distributing positive refractive power by disposing three negative lenses and three positive lenses in a first lens group, as a method of obtaining an optical performance of the telephoto position. Also, JP 2010-102096 (hereinafter, referred to as “a patent reference 2”) discloses a positive-negative-positive-positive four group zoom lens system, wherein a second lens group includes at least two negative lenses. 
         [0007]    However, the zoom lens systems disclosed in the patent references 1 and 2 do not show optical performances corresponding to a high pixel photographing apparatus while having a small size and variable magnification. For example, in the patent reference 1, only 20 times variable magnification is obtained. Also in the patent reference 1, a high performance is promoted by including a negative lens, a meniscus negative lens, and a cemented lens of a negative lens and a positive lens in a second lens group sequentially from an object side to an image side to distribute negative refractive power, and by compensating for comma aberration generated according to a viewing angle change at the wide-angle position. However, an optical performance is not satisfactory in the patent reference 1 since chromatic aberration is not sufficiently compensated for due to unsuitable location of a positive lens. Also, in the patent reference 2, a zoom lens system having 30 times variable magnification cannot be obtained. 
       SUMMARY 
       [0008]    One or more exemplary embodiments provide a new and improved zoom lens system and an imaging device, which are capable of achieving miniaturization and about 30 times variable magnification in a positive-negative-positive-positive four group zoom lens. 
         [0009]    According to an aspect of an exemplary embodiment, there is provided a zoom lens system including, sequentially from an object side to an image side: a first lens group having positive refractive power; a second lens group having negative refractive power; a third lens group having positive refractive power; and a fourth lens group having positive refractive power, wherein the first and third lens groups are fixed in an optical axis direction during variable magnification from a wide-angle position to a telephoto position, the variable magnification is performed as the second lens group moves from the object side to an image side, and the fourth lens group moves in the optical axis direction to compensate for a change of an image plane location according to the movement of the second lens group while performing a focusing function, and the first lens group includes one negative lens, the second lens group includes one positive lens, the third lens group includes a positive lens, the fourth lens group includes at least one positive lens, and a first condition 0.03&lt;|f 2 / f t |&lt;0.08, is satisfied, wherein f 2  denotes a focal length of the second lens group and f t  denotes a focal length of the zoom lens system in a telephoto position. 
         [0010]    The first and third lens groups may be fixed in an optical axis direction, the second lens group is configured to move from the object side to the image side, and the fourth lens group is configured to move in the optical axis direction to compensate for the movement of the second lens group during variable magnification from a wide-angle position to the telephoto position. 
         [0011]    The first lens group may include the one negative lens and three first group positive lenses sequentially from the object side to the image side, the second lens group may include at least three second group negative lenses and the one positive lens, the third lens group may include the positive lens and a third group cemented lens of a third group positive lens and a third group negative lens sequentially provided from the object side to the image side, the fourth lens group may include the at least one positive lens and at least one negative lens, and a second condition, 5.8&lt;|f t /f 2 |&lt;8.0, is satisfied, wherein f 1  denotes a focal length of the first lens group and f 2  denotes a focal length of the second lens group. 
         [0012]    The positive lens of the third lens group may have at least one surface having an aspherical surface, a cemented surface of the third group cemented lens may be convex to the object side, and a following condition, 0.15&lt;|f 3 /f t |&lt;0.35 and 
         [0013]    0.4&lt;|f 31 /f 3 |&lt;0.8, are satisfied, wherein f 3  denotes a focal length of the third lens group, f 31  denotes a focal length of the positive lens in the third lens group closest to the object side, and f t  denotes the focal length of the zoom lens system in the telephoto position. 
         [0014]    At least one of the three first group positive lenses in the first lens group may use a glass material having an Abbe number greater than or equal to 80. 
         [0015]    The one positive lens in the second lens group may include a convex surface facing the object side, and the second lens group may include, sequentially from the object side to the image side, first and second negative lenses and a second group cemented lens of a positive lens having a convex surface facing the object side and a third negative lens. 
         [0016]    The fourth lens group may include a fourth lens cemented lens of a fourth group positive lens and a fourth group negative lens sequentially from the object side to the image side, the fourth group positive lens may have at least one surface having an aspherical surface, and another condition, 0.08&lt;|f 4 /f t |&lt;0.25, is satisfied, wherein f 4  denotes a focal length of the fourth lens group and f t  denotes a focal length of the zoom lens system in a telephoto position. 
         [0017]    The zoom lens system of claim  1  may further include an aperture fixed to an image plane disposed between the second lens group and the third lens group. 
         [0018]    Principal points of the third lens group may be disposed at the object side of the zoom lens system. 
         [0019]    The third lens group may compensate for off-axis aberration generated during the variable magnification by including at least one surface having an aspherical surface shape. 
         [0020]    The fourth lens group may compensate for axial aberration generated during the variable magnification by including a cemented lens of a fourth positive lens and a fourth negative lens. 
         [0021]    According to another aspect of an exemplary embodiment, there is provided a photographing apparatus including the zoom lens system. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0022]    The above and other features and advantages will become more apparent by describing in detail exemplary embodiments thereof with reference to the attached drawings in which: 
           [0023]      FIG. 1  is a cross-sectional view of lenses at a wide-angle position in Numerical Embodiment 1 according to an exemplary embodiment; 
           [0024]      FIG. 2  is an aberration diagram in a wide-angle position in Numerical Embodiment 1 according to an exemplary embodiment; 
           [0025]      FIG. 3  is an aberration diagram in an intermediate zoom position in Numerical Embodiment 1 according to an exemplary embodiment; 
           [0026]      FIG. 4  is an aberration diagram in a telephoto position in Numerical Embodiment 1 according to an embodiment; 
           [0027]      FIG. 5  is a cross-sectional view of lenses at a wide-angle position in Numerical Embodiment 2 according to an exemplary embodiment ; 
           [0028]      FIG. 6  is an aberration diagram in a wide-angle position in Numerical Embodiment 2 according to an exemplary embodiment ; 
           [0029]      FIG. 7  is an aberration diagram in an intermediate zoom position in Numerical Embodiment 2 according to an exemplary embodiment ; 
           [0030]      FIG. 8  is an aberration diagram in a telephoto position in Numerical Embodiment 2 according to an exemplary embodiment ; 
           [0031]      FIG. 9  is a cross-sectional view of lenses at a wide-angle position in Numerical Embodiment 3 according to an exemplary embodiment ; 
           [0032]      FIG. 10  is an aberration diagram in a wide-angle position in Numerical Embodiment 3 according to an exemplary embodiment ; 
           [0033]      FIG. 11  is an aberration diagram in an intermediate zoom position in Numerical Embodiment 3 according to an embodiment ; 
           [0034]      FIG. 12  is an aberration diagram in a telephoto position in Numerical Embodiment 3 according to an exemplary embodiment ; 
           [0035]      FIG. 13  is a cross-sectional view of lenses at a wide-angle position in Numerical Embodiment 4 according to an exemplary embodiment ; 
           [0036]      FIG. 14  is an aberration diagram in a wide-angle position in Numerical Embodiment 4 according to an exemplary embodiment ; 
           [0037]      FIG. 15  is an aberration diagram in an intermediate zoom position in Numerical Embodiment 4 according to an exemplary embodiment ; 
           [0038]      FIG. 16  is an aberration diagram in a telephoto position in Numerical Embodiment 4 according to an exemplary embodiment ; 
           [0039]      FIG. 17  is a cross-sectional view of lenses at a wide-angle position in Numerical Embodiment 5 according to an exemplary embodiment ; 
           [0040]      FIG. 18  is an aberration diagram in a wide-angle position in Numerical Embodiment 5 according to an exemplary embodiment ; 
           [0041]      FIG. 19  is an aberration diagram in an intermediate zoom position in Numerical Embodiment 5 according to an exemplary embodiment ; and 
           [0042]      FIG. 20  is an aberration diagram in a telephoto position in Numerical Embodiment 5 according to an exemplary embodiment. 
       
    
    
     DETAILED DESCRIPTION 
       [0043]    Hereinafter, one or more exemplary embodiments will be described in detail with reference to accompanying drawings. In drawings, like reference numerals denote like elements to avoid repetition. 
         [0044]      FIG. 1  is a schematic diagram of a zoom lens system according to an exemplary embodiment. A photographing apparatus according to an exemplary embodiment includes the zoom lens system of  FIG. 1  and an image pickup device having an image plane on which a subject image is formed by the zoom lens system.  FIG. 1  illustrates the zoom lens system with respect to Numerical Embodiment 1 described later. As shown in  FIG. 1 , the zoom lens system includes a first lens group G 1  having positive refractive power, a second lens group G 2  having negative refractive power, a third lens group G 3  having positive refractive power, and a fourth lens group G 4  having positive refractive power sequentially from an object side (left of  FIG. 1 ), wherein an aperture SP is disposed at the third lens group G 3  closest to the object side. 
         [0045]    In  FIG. 1 , G denotes an optical block corresponding to an optical filter or a faceplate. IP denotes an image plane which corresponds to an imaging plane of a solid image pickup device (photoelectric conversion device), such as a charge coupled device (CCD) sensor or a complementary metal-oxide semiconductor (CMOS) sensor, when the zoom lens system according to the current exemplary embodiment is used as a photographing optical system of a surveillance camera, a video camera, or a digital still camera, and which corresponds to a film plane when the zoom lens system according to the current exemplary embodiment is used in a silver salts film camera. 
         [0046]    The second lens group G 2  moves to an image plane side as shown by an arrow  2   a  during variable magnification from a wide-angle position to a telephoto position. Here, the first and third lens groups G 1  and G 3  are fixed in an optical axis direction, and the fourth lens group G 4  moves to compensate for a change of an image plane location according to the movement of the second lens group G 2  while moving to an object side during near-distance focusing. A solid curve  4   a  and a broken curve  4   b  of the fourth lens group G 4  shown in  FIG. 1  show moving trajectories for compensating for an image plane change according to the variable magnification from the wide-angle position to the telephoto position respectively during focusing on an infinite object and a near-distance object. 
         [0047]    The first lens group G 1  includes a cemented lens of a negative lens  11  having a meniscus shape having a convex surface facing the object side and a positive lens  12  having a convex surface facing the object side, and two positive lenses  13  and  14  having convex surfaces facing the object side. The second lens group G 2  includes two negative lenses  21  and  22  and a cemented lens of a positive lens  23  having a convex surface facing the object side and a negative lens  24  sequentially from the object side. 
         [0048]    The third lens group G 3  includes an independent positive lens  31  having an aspherical surface at the object side, and a cemented lens of a positive lens  32  and a negative lens  33 , sequentially from the object side. The fourth lens group G 4  includes a cemented lens of a positive lens  41  having an aspherical surface at the object side and a negative lens  42 , sequentially from the object side. 
         [0049]    The zoom lens system according to the current exemplary embodiment will now be described in detail. The zoom lens system according to the current embodiment includes, sequentially from the object side, the first lens group G 1  having positive refractive power, the second lens group G 2  having negative refractive power, the aperture SP fixed with respect to the image plane, the third lens group G 3  having positive refractive power, and the fourth lens group G 4  having positive refractive power, wherein the first and third lens groups G 1  and G 3  are fixed in the optical axis direction during variable magnification from the wide-angle position to the telephoto position, the variable magnification is performed as the second lens group G 2  moves from the object side to an image side, and the fourth lens group G 4  moves in the optical axis direction to compensate for the change of the image plane location according to the movement of the second lens group G 2  while performing a focusing function. The first lens group G 1  includes one negative lens and three positive lenses sequentially from the object side, the second lens group G 2  includes at least three negative lenses and one positive lens, the third lens group G 3  includes an independent positive lens and a cemented lens of a positive lens and a negative lens sequentially from the object side, the fourth lens group G 4  includes at least one of a positive lens and a negative lens, and following conditions are satisfied. 
         [0000]      0.03&lt; |f   2   /f   t |&lt;0.08   (Conditional Expression 1)
 
         [0000]      5.8&lt; |f   1   /f   2 |&lt;8.0   (Conditional Expression 2)
 
         [0050]    Here, f t  denotes a focal length of the first lens group G 1 , f 2  denotes a focal length of the second lens group G 2 , and f t  denotes a focal length of the zoom lens system in a telephoto position. 
         [0051]    Positive refractive power is distributed by disposing at least three positive lenses in the first lens group G 1 , and specifically, aspherical aberration in the telephoto position is easily compensated for. Also, by using a glass material having an Abbe number greater than or equal to 80 for a positive lens, axial chromatic aberration and lateral chromatic aberration are specifically compensated for in the telephoto position. 
         [0052]    By disposing at least three negative lenses and one positive lens in the second lens group G 2 , negative refractive power is distributed and comma aberration generated according to a change of a viewing angle in the wide-angle position is compensated for, thereby promoting high performance. In detail, by disposing a cemented lens of a positive lens and a negative lens, aberration, such as chromatic aberration, may be satisfactorily compensated for and in addition, an adhesion error during manufacture may be reduced, thereby obtaining stable optical quality. 
         [0053]    The third lens group G 3  is capable of satisfactorily compensating for off-axis aberration generated during the variable magnification by including at least one surface having an aspherical surface shape. Also, since the third lens group G 3  includes two positive lenses and one negative lens, chromatic aberration generated in the third lens group G 3  may be satisfactorily compensated for. Moreover, since principal points of the third lens group G 3  may be disposed at the object side, a distance from the third lens group G 3  to the imaging plane may be reduced, and thus the zoom lens system may be miniaturized. In addition, the negative lens in the third lens group G 3  may have a meniscus shape having a high curvature at the image plane side such that spherical aberration is easily compensated for, or/and the negative lens in the third lens group G 3  may form a cemented lens with a positive lens such that an interval of principal points with a positive lens of the third lens group G 3  nearest to the object may be increased, thereby obtaining a stable optical performance during manufacture. 
         [0054]    The fourth lens group G 4  may satisfactorily compensate for axial aberration generated during the variable magnification by including a cemented lens of a positive lens and a negative lens. Also, the fourth lens group G 4  that is a moving lens group may be light-weighted according to a simplified structure of the fourth lens group G 4  via cementing, and may quickly perform a focusing operation. In detail, the fourth lens group G 4  may include at least one aspherical surface to easily and satisfactorily compensate for spherical aberration generated in the fourth lens group G 4 . 
         [0055]    The Conditional Expression 1 is an expression defining a focal length of the second lens group G 2  and a focal length of the zoom lens system in a telephoto position. If the value of |f 2 /f t | is greater than upper limit of the Conditional Expression 1, refractive power of the second lens group G 2  is weakened, a moving amount during variable magnification is increased, and an overall length of zoom lens system is increased and thus it is difficult to miniaturize the zoom lens system. 
         [0056]    Also, if the value of |f 2 /f t | is lower than lower limit of the Conditional Expression 1, refractive power of the second lens group G 2  is strengthened, and it is difficult to satisfactorily compensate for an aberration change during the variable magnification from the wide-angle position state to the telephoto position state. 
         [0057]    In detail, a numerical range of the Conditional Expression 1 may be set to satisfy Conditional Expression 1a below. 
         [0000]      0.05&lt;| f   2   /f   t |&lt;0.065   (Conditional Expression 1a)
 
         [0058]    The Conditional Expression 2 is an expression defining a focal length of the first lens group G 1  and a focal length of the second lens group G 2 . If the value |f 1 /f 2 | is greater than upper limit of the Conditional Expression 2, refractive power of the first lens group G 1  is weakened, an overall length of the zoom lens system is increased and moreover, a lens diameter of the first lens group G 2  should is increased, and thus it is difficult to miniaturize the zoom lens system. Also, if the value |f 1 /f 2 | is lower than lower limit of the Conditional Expression 2, refractive power of the first lens group G 1  is strengthened and it is difficult to compensate for spherical aberration in a telephoto position and to promote a high performance. 
         [0059]    In detail, a numerical range of the Conditional Expression 2 may be set to satisfy Conditional Expression  2   a  below. 
         [0000]      6.0&lt;| f   1   /f   2 |&lt;7.0   (Conditional Expression 2a)
 
         [0060]    In detail, the third lens group G 3  may satisfy following conditions. 
         [0000]      0.15&lt;| f   3   /f   t |&lt;0.35   (Conditional Expression 3)
 
         [0000]      0.4&lt;| f   31   /f   3 |&lt;0.8   (Conditional Expression 4)
 
         [0061]    Here, f 3  denotes a focal length of the third lens group G 3 , f 31  denotes a focal length of a positive lens closest to the object side of the third lens group G 3 , and f t  denotes a focal length of the zoom lens system in a telephoto position. 
         [0062]    The Conditional Expression 3 is an expression defining the focal length of the third lens group G 3  and the focal length of the zoom lens system in the telephoto position. If |f 3 /f t | is greater than an upper limit of the Conditional Expression 3, refractive power of the third lens group G 3  is weakened, and in order to maintain refractive power in the entire third and fourth lens groups G 3  and G 4 , refractive power of the fourth lens group G 4  needs to be strengthened. Accordingly, it is difficult to satisfactorily compensate for aberration, such as astigmatism or comma aberration. If |f 3 /f t | is lower than a lower limit of the Conditional Expression 3, refractive power of the third lens group G 3  is too strengthened, and thus aberration, such as spherical aberration, is increased. 
         [0063]    In detail, a numerical range of the Conditional Expression 3 may be set to satisfy Conditional Expression 3a below. 
         [0000]      0.2&lt;| f   3 /f t |&lt;0.3   (Conditional Expression 3a)
 
         [0064]    The Conditional Expression 4 is an expression defining the focal length of the positive lens of the third lens group G 3  closest to the object side and the focal length of the third lens group G 3 . If |f 31 /f 3 | is greater than an upper limit of the Conditional Expression 4, refractive power of the positive lens closest to the object side in the third lens group G 3  is too weakened and an overall length of the zoom lens system is lengthened. If |f 31 /f 3 | is lower than a lower limit of the Conditional Expression 4, refractive power of the positive lens closest to the object side in the third lens group G 3  is too strengthened and aberration, such as spherical aberration, is increased. 
         [0065]    In detail, a numerical range of the Conditional Expression 4 may be set to satisfy Conditional Expression  4   a  below. 
         [0000]      0.55&lt;| f   31   /f   3 |&lt;0.7   (Conditional Expression 4a)
 
         [0066]    In detail, the fourth lens group G 4  may satisfy a following condition. 
         [0000]      0.08&lt;| f   4   /f   t |&lt;0.25   (Conditional Expression 5)
 
         [0067]    Here, f 4  denotes a focal length of the fourth lens group G 4  and f t  denotes a focal length of the zoom lens system in a telephoto position. 
         [0068]    The Conditional Expression 5 is an expression defining the focal length of the fourth lens group G 4  and the focal length of the zoom lens system in the telephoto position. If |f 4 /f t | is greater than an upper limit of the Conditional Expression 5, refractive power of the fourth lens group G 4  is weakened, it is difficult to miniaturize the zoom lens system because a moving distance (i.e., a moving range of the fourth lens group G 4  to the object side or the image side) during focusing of the fourth lens group G 4  is increased and it is difficult to reduce an interval between the third lens group G 3  and the fourth lens group G 4 . If |f 4 /f t | is lower than a lower limit of the Conditional Expression 5, refractive power of the fourth lens group G 4  is strengthened, and, it is difficult to satisfactorily compensate for an aberration change during variable magnification from a wide-angle position state to a telephoto position state. 
         [0069]    In detail, a numerical range of the Conditional Expression 5 may be set to satisfy Conditional Expression 5a below. 
         [0000]      0.1&lt; |f   4 /f t |&lt;0.16   (Conditional Expression 5a)
 
         [0070]    As described above, by suitably arranging the first through fourth lens groups G 1  through G 4 , the zoom lens system according to the current exemplary embodiment may have about 30 times variable magnification, maintain an optical performance corresponding to a high pixel image pickup device, and be miniaturized. 
         [0071]    According to the current exemplary embodiment, the zoom lens system that has about 30 times variable magnification, is small, and maintains a satisfactory optical performance corresponding to a high pixel image pickup device from a wide-angle position to a telephoto position and from a near-distance to an infinity may be obtained in an image device, such as a surveillance camera, a video camera, or a digital still camera. 
         [0072]    Examples of the current exemplary embodiment will now be described in detail. Numerical Embodiments 1 through 5 below are detailed examples suitable to the Conditional Expressions 1 through 5 above. In each of Numerical Embodiments 1 through 5, a surface number i denotes an order of an optical surface from the object side. In each of Numerical Embodiments 1 through 5, r i  denotes a curvature of an (i)th optical surface, d i  denotes a surface interval between the (i)th optical surface and an (i+1)th optical surface, and nd i  and v d i  respectively denote a refractive index and an Abbe number of a material of an (i)th optical member with respect to a d-line. A back focus BF is a distance from a lens surface of a lens closest to the object to an image plane. An overall length is obtained by adding BF to a distance from a center of a lens surface of a lens closest to the object to a center of a lens surface of a lens closest to the image plane. Also, a unit of length is in mm. 
         [0073]    An aspherical surface may be represented by Equation 1 below when K denotes a conic constant, A4, A6, A8, and A10 denote aspherical surface coefficients, and x denotes a displacement in an optical axis direction at a location of height H from an optical axis based on a surface vertex. 
         [0000]    
       
         
           
             
               
                 
                   X 
                   = 
                   
                     
                       
                         
                           ( 
                           
                             1 
                             / 
                             R 
                           
                           ) 
                         
                          
                         
                           H 
                           2 
                         
                       
                       
                         1 
                         + 
                         
                           
                             1 
                             - 
                             
                               
                                 ( 
                                 
                                   1 
                                   + 
                                   K 
                                 
                                 ) 
                               
                                
                               
                                 
                                   ( 
                                   
                                     H 
                                     / 
                                     R 
                                   
                                   ) 
                                 
                                 2 
                               
                             
                           
                         
                       
                     
                     + 
                     
                       A 
                        
                       
                           
                       
                        
                       4 
                        
                       
                         H 
                         4 
                       
                     
                     + 
                     
                       A 
                        
                       
                           
                       
                        
                       6 
                        
                       
                         H 
                         6 
                       
                     
                     + 
                     
                       A 
                        
                       
                           
                       
                        
                       8 
                        
                       
                         H 
                         8 
                       
                     
                     + 
                     
                       A 
                        
                       
                           
                       
                        
                       10 
                        
                       
                         H 
                         10 
                       
                     
                   
                 
               
               
                 
                   [ 
                   
                     Equation 
                      
                     
                         
                     
                      
                     1 
                   
                   ] 
                 
               
             
           
         
       
     
         [0074]    Here, R denotes a radius of curvature. Also, for example, “E-Z” denotes “10-Z”. f denotes a focal length, F no  denotes a F-number, and ω denotes a half viewing angle. 
       Embodiment 1 
       [0075]      
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 [Numerical Embodiment 1] 
               
               
                 Surface Data 
               
             
          
           
               
                   
                 Surface No. 
                 r 
                 d 
                 nd 
                 vd 
               
               
                   
                   
               
               
                   
                 Object Surface 
                 ∞ 
                 ∞ 
                   
                   
               
               
                   
                  1 
                 102.782 
                 1.400 
                 1.80000 
                 29.84 
               
               
                   
                  2 
                 35.245 
                 7.210 
                 1.49700 
                 81.61 
               
               
                   
                  3 
                 −699.798 
                 0.200 
               
               
                   
                  4 
                 37.959 
                 4.740 
                 1.49700 
                 81.61 
               
               
                   
                  5 
                 295.265 
                 0.150 
               
               
                   
                  6 
                 29.581 
                 3.430 
                 1.69680 
                 55.46 
               
               
                   
                  7 
                 75.598 
                 Variable 
               
               
                   
                  8 
                 56.892 
                 0.800 
                 1.88300 
                 40.81 
               
               
                   
                  9 
                 6.049 
                 3.554 
               
               
                   
                 10 
                 −15.022 
                 0.600 
                 1.88300 
                 40.81 
               
               
                   
                 11 
                 32.341 
                 0.150 
               
               
                   
                 12 
                 15.789 
                 3.400 
                 1.84666 
                 23.78 
               
               
                   
                 13 
                 −15.789 
                 0.600 
                 1.77250 
                 49.62 
               
               
                   
                 14 
                 656.588 
                 Variable 
               
               
                   
                 15 (aperture) 
                 ∞ 
                 0.350 
               
               
                   
                 16* 
                 10.655 
                 3.940 
                 1.68997 
                 53.00 
               
               
                   
                 17 
                 −531.095 
                 0.255 
               
               
                   
                 18 
                 12.414 
                 2.130 
                 1.58913 
                 61.25 
               
               
                   
                 19 
                 32.968 
                 0.880 
                 1.80000 
                 29.84 
               
               
                   
                 20 
                 7.507 
                 Variable 
               
               
                   
                 21* 
                 11.243 
                 4.050 
                 1.58913 
                 61.00 
               
               
                   
                 22 
                 −8.233 
                 0.65 
                 1.84666 
                 23.78 
               
               
                   
                 23 
                 −14.994 
                 Variable 
               
               
                   
                 24 
                 ∞ 
                 2.410 
                 1.51633 
                 64.14 
               
               
                   
                 25 
                 ∞ 
                 2.200 
               
               
                   
                 Image Surface 
                 ∞ 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
             
             
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 16th Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −9.45E−05 
                 A6 = −1.93E−07 
                 A8 = −6.11E−09 
                 A10 = −4.40E−12 
               
             
          
           
               
                 21nd Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −8.93E−05 
                 A6 = −2.22E−06 
                 A8 = 1.72E−07 
                 A10 = −3.74E−09 
               
               
                   
               
             
          
           
               
                 Various Data 
               
               
                 Zoom Ratio 28.27 
               
             
          
           
               
                   
                   
                 Wide-angle 
                 Intermediate 
                 Telephoto 
               
               
                   
                   
               
               
                   
                 Focal Length 
                 3.605 
                 37.849 
                 101.914 
               
               
                   
                 F-number 
                 1.39 
                 3.07 
                 3.80 
               
               
                   
                 Half Viewing Angle (°) 
                 34.20 
                 3.70 
                 1.38 
               
               
                   
                 Image Height 
                 2.45 
                 2.45 
                 2.45 
               
               
                   
                 Overall Length 
                 85.000 
                 85.000 
                 85.000 
               
               
                   
                 BF 
                 9.131 
                 13.751 
                 5.076 
               
               
                   
                 d7 
                 0.650 
                 23.028 
                 26.956 
               
               
                   
                 d14 
                 28.160 
                 5.782 
                 1.855 
               
               
                   
                 d21 
                 7.719 
                 3.093 
                 11.795 
               
               
                   
                 d24 
                 5.371 
                 9.998 
                 1.296 
               
               
                   
                   
               
             
          
         
       
     
       Embodiment 2 
       [0076]      
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 [Numerical Embodiment 2] 
               
               
                 Surface Data 
               
             
          
           
               
                   
                 Surface No. 
                 R 
                 d 
                 nd 
                 vd 
               
               
                   
                   
               
               
                   
                 Object Surface 
                 ∞ 
                 ∞ 
                   
                   
               
               
                   
                  1 
                 108.833 
                 1.400 
                 1.85026 
                 32.27 
               
               
                   
                  2 
                 33.577 
                 7.650 
                 1.49700 
                 81.61 
               
               
                   
                  3 
                 −582.215 
                 0.200 
               
               
                   
                  4 
                 37.095 
                 5.290 
                 1.49700 
                 81.61 
               
               
                   
                  5 
                 1351.762 
                 0.150 
               
               
                   
                  6 
                 29.910 
                 3.480 
                 1.69680 
                 55.53 
               
               
                   
                  7 
                 80.856 
                 Variable 
               
               
                   
                  8 
                 69.483 
                 0.800 
                 1.88300 
                 40.81 
               
               
                   
                  9 
                 5.997 
                 3.451 
               
               
                   
                 10 
                 −15.925 
                 0.600 
                 1.88300 
                 40.81 
               
               
                   
                 11 
                 32.370 
                 0.150 
               
               
                   
                 12 
                 14.789 
                 3.610 
                 1.84666 
                 23.78 
               
               
                   
                 13 
                 −14.789 
                 0.600 
                 1.77250 
                 49.62 
               
               
                   
                 14 
                 74.980 
                 Variable 
               
               
                   
                 15 (aperture) 
                 ∞ 
                 0.350 
               
               
                   
                 16* 
                 11.774 
                 3.950 
                 1.68997 
                 53.00 
               
               
                   
                 17 
                 −87.302 
                 0.150 
               
               
                   
                 18 
                 11.855 
                 2.550 
                 1.58913 
                 61.25 
               
               
                   
                 19 
                 50.292 
                 0.880 
                 1.80000 
                 29.84 
               
               
                   
                 20 
                 7.736 
                 Variable 
               
               
                   
                 21* 
                 11.911 
                 4.200 
                 1.58913 
                 61.00 
               
               
                   
                 22 
                 −8.462 
                 1.44 
                 1.84666 
                 23.78 
               
               
                   
                 23 
                 −15.484 
                 Variable 
               
               
                   
                 24 
                 ∞ 
                 2.410 
                 1.51633 
                 64.14 
               
               
                   
                 25 
                 ∞ 
                 2.200 
               
               
                   
                 Image Surface 
                 ∞ 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
           
               
                 TABLE 4 
               
               
                   
               
             
             
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 16th Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −7.79E−05 
                 A6 = −5.03E−07 
                 A8 = 9.02E−09 
                 A10 = −1.30E−10 
               
             
          
           
               
                 21nd Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −8.57E−05 
                 A6 = 1.28E−07 
                 A8 = −2.94E−08 
                 A10 = 1.57E−09 
               
               
                   
               
             
          
           
               
                 Various Data 
               
               
                 Zoom Ratio 29.78 
               
             
          
           
               
                   
                   
                 Wide-angle 
                 Intermediate 
                 Telephoto 
               
               
                   
                   
               
               
                   
                 Focal Length 
                 3.606 
                 37.848 
                 107.395 
               
               
                   
                 F-number 
                 1.48 
                 3.20 
                 4.02 
               
               
                   
                 Half Viewing Angle (°) 
                 34.19 
                 3.70 
                 1.31 
               
               
                   
                 Image Height 
                 2.45 
                 2.45 
                 2.45 
               
               
                   
                 Overall Length 
                 88.000 
                 88.000 
                 88.000 
               
               
                   
                 BF 
                 8.451 
                 14.372 
                 5.077 
               
               
                   
                 d7 
                 0.650 
                 22.918 
                 26.969 
               
               
                   
                 d14 
                 28.148 
                 5.880 
                 1.889 
               
               
                   
                 d21 
                 9.005 
                 3.078 
                 12.395 
               
               
                   
                 d24 
                 4.685 
                 10.613 
                 1.296 
               
               
                   
                   
               
             
          
         
       
     
       Embodiment 3 
       [0077]      
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 [Numerical Embodiment 3] 
               
               
                 Surface Data 
               
             
          
           
               
                   
                 Surface No. 
                 r 
                 d 
                 nd 
                 vd 
               
               
                   
                   
               
               
                   
                 Object Surface 
                 ∞ 
                 ∞ 
                   
                   
               
               
                   
                  1 
                 172.960 
                 1.400 
                 1.80000 
                 29.84 
               
               
                   
                  2 
                 41.257 
                 7.570 
                 1.49700 
                 81.61 
               
               
                   
                  3 
                 −271.118 
                 0.200 
               
               
                   
                  4 
                 44.556 
                 4.690 
                 1.49700 
                 81.61 
               
               
                   
                  5 
                 −1138.700 
                 0.150 
               
               
                   
                  6 
                 28.439 
                 3.340 
                 1.69680 
                 55.46 
               
               
                   
                  7 
                 64.000 
                 Variable 
               
               
                   
                  8 
                 54.584 
                 0.800 
                 1.88300 
                 40.81 
               
               
                   
                  9 
                 6.531 
                 3.167 
               
               
                   
                 10 
                 −17.954 
                 0.600 
                 1.88300 
                 40.81 
               
               
                   
                 11 
                 26.323 
                 1.133 
               
               
                   
                 12 
                 18.640 
                 2.940 
                 1.84666 
                 23.78 
               
               
                   
                 13 
                 −18.640 
                 0.600 
                 1.77250 
                 49.62 
               
               
                   
                 14 
                 700.000 
                 Variable 
               
               
                   
                 15 (aperture) 
                 ∞ 
                 0.350 
               
               
                   
                 16* 
                 11.580 
                 3.960 
                 1.68997 
                 53.00 
               
               
                   
                 17 
                 −78.580 
                 1.307 
               
               
                   
                 18 
                 19.911 
                 2.240 
                 1.58913 
                 61.25 
               
               
                   
                 19 
                 230.800 
                 0.880 
                 1.80000 
                 29.84 
               
               
                   
                 20 
                 8.985 
                 Variable 
               
               
                   
                 21* 
                 11.393 
                 4.020 
                 1.58913 
                 61.00 
               
               
                   
                 22 
                 −8.193 
                 0.65 
                 1.84666 
                 23.78 
               
               
                   
                 23 
                 −14.023 
                 Variable 
               
               
                   
                 24 
                 ∞ 
                 2.410 
                 1.51633 
                 64.14 
               
               
                   
                 25 
                 ∞ 
                 2.200 
               
               
                   
                 Image Surface 
                 ∞ 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
           
               
                 TABLE 6 
               
               
                   
               
             
             
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 16th Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −9.44E−05 
                 A6 = 2.43E−07 
                 A8 = −1.71E−08 
                 A10 = 1.35E−10 
               
             
          
           
               
                 21nd Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −1.11E−04 
                 A6 = −1.56E−06 
                 A8 = 1.03E−07 
                 A10 = −2.26E−09 
               
               
                   
               
             
          
           
               
                 Various Data 
               
               
                 Zoom Ratio 28.27 
               
             
          
           
               
                   
                   
                 Wide-angle 
                 Intermediate 
                 Telephoto 
               
               
                   
                   
               
               
                   
                 Focal Length 
                 3.605 
                 37.870 
                 101.900 
               
               
                   
                 F-number 
                 1.41 
                 3.06 
                 3.93 
               
               
                   
                 Half Viewing Angle (°) 
                 34.20 
                 3.70 
                 1.38 
               
               
                   
                 Image Height 
                 2.45 
                 2.45 
                 2.45 
               
               
                   
                 Overall Length 
                 88.000 
                 88.000 
                 88.000 
               
               
                   
                 BF 
                 9.601 
                 13.391 
                 5.077 
               
               
                   
                 d7 
                 0.650 
                 24.705 
                 28.649 
               
               
                   
                 d14 
                 29.875 
                 5.821 
                 1.876 
               
               
                   
                 d21 
                 7.026 
                 3.226 
                 11.567 
               
               
                   
                 d24 
                 5.841 
                 9.641 
                 1.300 
               
               
                   
                   
               
             
          
         
       
     
       Embodiment 4 
       [0078]      
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 7 
               
             
             
               
                   
               
               
                 [Numerical Embodiment 4] 
               
               
                 Surface Data 
               
             
          
           
               
                   
                 Surface No. 
                 r 
                 d 
                 nd 
                 vd 
               
               
                   
                   
               
               
                   
                 Object Surface 
                 ∞ 
                 ∞ 
                   
                   
               
               
                   
                  1 
                 100.456 
                 1.400 
                 1.80000 
                 29.84 
               
               
                   
                  2 
                 34.990 
                 7.270 
                 1.49700 
                 81.61 
               
               
                   
                  3 
                 −688.313 
                 0.200 
               
               
                   
                  4 
                 38.585 
                 4.500 
                 1.49700 
                 81.61 
               
               
                   
                  5 
                 229.880 
                 0.150 
               
               
                   
                  6 
                 30.028 
                 3.500 
                 1.69680 
                 55.46 
               
               
                   
                  7 
                 82.507 
                 Variable 
               
               
                   
                  8 
                 57.351 
                 0.800 
                 1.88300 
                 40.81 
               
               
                   
                  9 
                 6.026 
                 3.711 
               
               
                   
                 10 
                 −15.163 
                 0.600 
                 1.88300 
                 40.81 
               
               
                   
                 11 
                 62.603 
                 0.150 
               
               
                   
                 12 
                 15.230 
                 3.520 
                 1.84666 
                 23.78 
               
               
                   
                 13 
                 −15.230 
                 0.600 
                 1.77250 
                 49.62 
               
               
                   
                 14 
                 40.337 
                 Variable 
               
               
                   
                 15 (aperture) 
                 ∞ 
                 0.350 
               
               
                   
                 16* 
                 11.975 
                 3.790 
                 1.68997 
                 53.00 
               
               
                   
                 17 
                 −88.107 
                 0.150 
               
               
                   
                 18 
                 14.110 
                 1.830 
                 1.58913 
                 61.25 
               
               
                   
                 19 
                 34.296 
                 0.880 
                 1.80000 
                 29.84 
               
               
                   
                 20 
                 8.931 
                 Variable 
               
               
                   
                 21* 
                 13.882 
                 4.200 
                 1.58913 
                 61.00 
               
               
                   
                 22 
                 −8.093 
                 1.22 
                 1.84666 
                 23.78 
               
               
                   
                 23 
                 −14.623 
                 Variable 
               
               
                   
                 24 
                 ∞ 
                 2.410 
                 1.51633 
                 64.14 
               
               
                   
                 25 
                 ∞ 
                 2.811 
               
               
                   
                 Image Surface 
                 ∞ 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
           
               
                 TABLE 8 
               
               
                   
               
             
             
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 16th Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −8.48E−05 
                 A6 = −8.63E−08 
                 A8 = −3.89E−09 
                 A10 = 7.69E−12 
               
             
          
           
               
                 21nd Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −6.72E−05 
                 A6 = −1.20E−06 
                 A8 = 1.20E−07 
                 A10 = −2.86E−09 
               
               
                   
               
             
          
           
               
                 Various Data 
               
               
                 Zoom Ratio 28.27 
               
             
          
           
               
                   
                   
                 Wide-angle 
                 Intermediate 
                 Telephoto 
               
               
                   
                   
               
               
                   
                 Focal Length 
                 3.605 
                 37.870 
                 101.927 
               
               
                   
                 F-number 
                 1.47 
                 3.08 
                 3.80 
               
               
                   
                 Half Viewing Angle (°) 
                 34.20 
                 3.70 
                 1.38 
               
               
                   
                 Image Height 
                 2.45 
                 2.45 
                 2.45 
               
               
                   
                 Overall Length 
                 88.000 
                 88.000 
                 88.000 
               
               
                   
                 BF 
                 9.790 
                 16.001 
                 7.325 
               
               
                   
                 d7 
                 0.650 
                 23.034 
                 27.182 
               
               
                   
                 d14 
                 28.454 
                 6.070 
                 1.923 
               
               
                   
                 d21 
                 9.434 
                 3.216 
                 11.927 
               
               
                   
                 d24 
                 5.420 
                 11.638 
                 2.927 
               
               
                   
                   
               
             
          
         
       
     
       Embodiment 5 
     EXAMPLE 9 
       [0079]      
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 [Numerical Embodiment 5] 
               
               
                 Surface Data 
               
             
          
           
               
                   
                 Surface No. 
                 r 
                 d 
                 nd 
                 vd 
               
               
                   
                   
               
               
                   
                 Object Surface 
                 ∞ 
                 ∞ 
                   
                   
               
               
                   
                  1 
                 126.358 
                 1.400 
                 1.80000 
                 29.84 
               
               
                   
                  2 
                 37.513 
                 7.150 
                 1.49700 
                 81.61 
               
               
                   
                  3 
                 −297.156 
                 0.200 
               
               
                   
                  4 
                 39.760 
                 4.540 
                 1.49700 
                 81.61 
               
               
                   
                  5 
                 313.113 
                 0.150 
               
               
                   
                  6 
                 29.730 
                 3.450 
                 1.69680 
                 55.46 
               
               
                   
                  7 
                 77.263 
                 Variable 
               
               
                   
                  8 
                 55.345 
                 0.800 
                 1.88300 
                 40.81 
               
               
                   
                  9 
                 6.329 
                 3.495 
               
               
                   
                 10 
                 −15.344 
                 0.600 
                 1.88300 
                 40.81 
               
               
                   
                 11 
                 27.080 
                 0.444 
               
               
                   
                 12 
                 16.960 
                 3.190 
                 1.84666 
                 23.78 
               
               
                   
                 13 
                 −16.960 
                 0.600 
                 1.77250 
                 49.62 
               
               
                   
                 14 
                 −280.185 
                 Variable 
               
               
                   
                 15 (aperture) 
                 ∞ 
                 0.350 
               
               
                   
                 16* 
                 11.688 
                 3.660 
                 1.68997 
                 53.00 
               
               
                   
                 17 
                 −408.920 
                 0.150 
               
               
                   
                 18 
                 18.522 
                 3.780 
                 1.51633 
                 64.14 
               
               
                   
                 19 
                 39.174 
                 1.040 
                 1.90366 
                 31.32 
               
               
                   
                 20 
                 9.458 
                 Variable 
               
               
                   
                 21* 
                 11.650 
                 4.130 
                 1.61881 
                 63.86 
               
               
                   
                 22 
                 −7.762 
                 0.74 
                 1.84666 
                 23.78 
               
               
                   
                 23 
                 −13.694 
                 Variable 
               
               
                   
                 24 
                 ∞ 
                 2.410 
                 1.51633 
                 64.14 
               
               
                   
                 25 
                 ∞ 
                 2.672 
               
               
                   
                 Image Surface 
                 ∞ 
               
               
                   
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
               
             
               
               
               
               
               
             
           
               
                 TABLE 10 
               
               
                   
               
             
             
               
                 Aspherical Surface Data 
               
               
                   
               
               
                 16th Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −8.31E−05 
                 A6 = 3.48E−07 
                 A8 = −2.06E−08 
                 A10 = 1.93E−10 
               
             
          
           
               
                 21nd Surface 
               
             
          
           
               
                 K = 0 
                 A4 = −1.34E−04 
                 A6 = −1.10E−06 
                 A8 = 8.89E−08 
                 A10 = −2.21E−09 
               
               
                   
               
             
          
           
               
                 Various Data 
               
               
                 Zoom Ratio 28.47 
               
             
          
           
               
                   
                   
                 Wide-angle 
                 Intermediate 
                 Telephoto 
               
               
                   
                   
               
               
                   
                 Focal Length 
                 3.583 
                 37.875 
                 102.011 
               
               
                   
                 F-number 
                 1.45 
                 3.09 
                 3.82 
               
               
                   
                 Half Viewing Angle (°) 
                 34.37 
                 3.70 
                 1.38 
               
               
                   
                 Image Height 
                 2.45 
                 2.45 
                 2.45 
               
               
                   
                 Overall Length 
                 87.870 
                 87.870 
                 87.870 
               
               
                   
                 BF 
                 10.299 
                 14.600 
                 6.051 
               
               
                   
                 d7 
                 0.650 
                 23.494 
                 27.521 
               
               
                   
                 d14 
                 28.793 
                 5.948 
                 1.921 
               
               
                   
                 d21 
                 7.405 
                 3.092 
                 11.670 
               
               
                   
                 d24 
                 6.068 
                 10.381 
                 1.803 
               
               
                   
                   
               
             
          
         
       
     
         [0080]    Table 11 below is a correspondence table of the Numerical Embodiments 1 through 5 and the Conditional Expressions 1 through 5. Each numerical value shows a value defined in each of the Conditional Expressions 1 through 5. As such, all of the Numerical Embodiments 1 through 5 satisfy Conditional Expressions 1 through 5. 
         [0000]    
       
         
               
               
               
               
               
               
             
           
               
                 TABLE 11 
               
               
                   
               
               
                   
                 Numerical 
                 Numerical 
                 Numerical 
                 Numerical 
                 Numerical 
               
               
                 Conditional 
                 Embodi- 
                 Embodi- 
                 Embodi- 
                 Embodi- 
                 Embodi- 
               
               
                 Expression 
                 ment 1 
                 ment 2 
                 ment 3 
                 ment 4 
                 ment 5 
               
               
                   
               
             
             
               
                 1 
                 0.059 
                 0.053 
                 0.065 
                 0.055 
                 0.061 
               
               
                 2 
                 6.463 
                 6.777 
                 6.059 
                 6.954 
                 6.252 
               
               
                 3 
                 0.234 
                 0.202 
                 0.265 
                 0.229 
                 0.292 
               
               
                 4 
                 0.634 
                 0.700 
                 0.550 
                 0.662 
                 0.552 
               
               
                 5 
                 0.133 
                 0.134 
                 0.128 
                 0.151 
                 0.122 
               
               
                   
               
             
          
         
       
     
         [0081]    According to one or more exemplary embodiments, it is possible to achieve miniaturization and about 30 times variable magnification in a positive-negative-positive-positive four group zoom lens system. 
         [0082]    While exemplary embodiments have been particularly shown and described above, it will be understood by those of ordinary skill in the art that various changes in form and details may be made therein without departing from the spirit and scope of the present inventive concept as defined by the following claims.