Patent Publication Number: US-10324278-B2

Title: Zoom lens, projection display device, and imaging apparatus

Description:
CROSS REFERENCE TO RELATED APPLICATIONS 
     The present application claims priority under 35 U.S.C. § 119 to Japanese Patent Application No. 2016-168096 filed on Aug. 30, 2016. The above application is hereby expressly incorporated by reference, in its entirety, into the present application. 
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to a zoom lens forming an intermediate image, a projection display device comprising the zoom lens, and an imaging apparatus comprising the zoom lens. 
     2. Description of the Related Art 
     In the past, projection display devices, each of which uses a light valve such as a liquid crystal display element or a Digital Micromirror Device (DMD®) display element, have come into widespread use. In particular, some widely used devices adopt a configuration in which three light valves are used, illumination light beams with three primary colors of red, green, and blue respectively correspond to the light valves, synthesizes the light beams, which are modulated through the respective light valves, through a prism or the like, and displays an image onto a screen through a zoom lens. 
     In such a zoom lens used in a type of the projection display device that synthesizes the light beams modulated through the three light valves through a color synthesis optical system and projects the light beams, as described above, in order for a prism or the like for performing color synthesis to be disposed therein and in order to avoid a thermal problem, a long back focal length is necessary. Further, since spectral characteristics of the color synthesizing prism change depending on an angle of incident light, it is necessary for the projection lens to have the characteristic that the entrance pupil is at a sufficiently far position in a case where the reduction side is set as the incident side, that is, to be telecentric on the reduction side. 
     It has become necessary for such a type of the zoom lens to perform favorable aberration correction appropriate for the resolutions of light valves. Further, from the viewpoint of installability, in order to cope with the demands to have a high zoom ratio function and to perform projection onto a large screen at a short distance, it is necessary for a zoom lens to have a wider angle of view. 
     A zoom lens, which forms an intermediate image at a position conjugate to the reduction side imaging plane and forms the intermediate image again on the magnification side imaging plane, has been proposed so as to cope with such demands (for example, JP2015-152890A). 
     SUMMARY OF THE INVENTION 
     In a normal zoom lens of a system which does not form an intermediate image, in a case where an increase in angle of view is intended to be achieved by shortening a focal length thereof, the size of the magnification side lens inevitably becomes excessively large. However, in a zoom lens of a system which forms an intermediate image as described above, it is possible to shorten a back focal length of the lens system closer to the magnification side than the intermediate image. Therefore, it is possible to decrease a magnification side lens diameter of the lens system closer to the magnification side than the intermediate image, and this configuration is appropriate for achieving an increase in angle of view by shortening a focal length thereof. However, fluctuation in aberrations becomes large during zooming, and thus a problem arises in that it is difficult to keep optical performance high in the entire zooming range. In the lens system described in JP2015-152890A, a problem also arises in that fluctuation in aberrations is large. 
     The present invention has been made in consideration of the above-mentioned situation, and its object is to provide a zoom lens of a system that forms an intermediate image and has high performance by satisfactorily suppressing fluctuation in aberrations during zooming while achieving a wide angle, a projection display device comprising the zoom lens, and an imaging apparatus comprising the zoom lens. 
     A zoom lens of the present invention forms an intermediate image at a position conjugate to a reduction side imaging plane and forms the intermediate image again on a magnification side imaging plane. The zoom lens comprises a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image. Among the plurality of lens groups, a final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. The zoom lens satisfies the following conditional expressions (1) and (2).
 
6.8&lt; fM/|fw|   (1)
 
0&lt; Y max/| exPw|&lt; 0.1  (2)
 
     Here, fM is a focal length of the final lens group, 
     fw is a focal length of the whole system at a wide-angle end, 
     Ymax is an effective image circle radius on the reduction side, and 
     exPw is a distance on the optical axis from the reduction side imaging plane to a paraxial exit pupil position at the wide-angle end in a case where the reduction side is set as an exit side. 
     Here, “comprises a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image” the term means that the at least two movable lens groups other than the lens group including the intermediate image are provided at the position closer to the reduction side than the lens group including the intermediate image in a case where the intermediate image is formed in the lens group. 
     It is preferable that the zoom lens of the present invention satisfies the following conditional expression (1-1) and/or (2-1).
 
7&lt; fM/|fw&lt; 20  (1-1)
 
0&lt; Y max/| exPw|&lt; 0.07  (2-1)
 
     The zoom lens may comprise four or five lens groups as a whole. A lens group closest to the magnification side and the final lens group closest to the reduction side may remain stationary with respect to the reduction side imaging plane during zooming. Among lens groups between the lens group closest to the magnification side and the final lens group closest to the reduction side, at least two lens groups may move by changing spacings between the groups adjacent to each other in the direction of the optical axis during zooming. 
     It is preferable that the zoom lens satisfies the following conditional expression (3), and it is more preferable that the zoom lens satisfies the following conditional expression (3-1).
 
0&lt;| fw|/fA&lt; 0.145  (3)
 
0&lt;| fw|/fA&lt; 0.14  (3-1)
 
     Here, fw is a focal length of the whole system at the wide-angle end, and 
     fA is a focal length of a movable lens group closest to the reduction side among the plurality of movable lens groups. 
     It is preferable that the zoom lens satisfies the following conditional expression (4), and it is more preferable that the zoom lens satisfies the following conditional expression (4-1).
 
0.01&lt;| fw|/fB&lt; 0.2  (4)
 
0.03&lt;| fw|/fB&lt; 0.16  (4-1)
 
     Here, fw is a focal length of the whole system at the wide-angle end, and 
     fB is a focal length of a second movable lens group from the reduction side among the plurality of movable lens groups. 
     It is preferable that the zoom lens satisfies the following conditional expression (5), and it is more preferable that the zoom lens satisfies the following conditional expression (5-1).
 
2&lt; Bfw/|fw|   (5)
 
3&lt; Bfw/|fw|&lt; 11  (5-1)
 
     Here, Bfw is a back focal length of the whole system as an air conversion length at the wide-angle end, and 
     fw is a focal length of the whole system at the wide-angle end. 
     It is preferable that the final lens group is formed as one single lens. 
     A projection display device of the present invention comprises: a light source; a light valve into which light originating from the light source is incident; and the zoom lens of the present invention, the zoom lens projecting an optical image, which is formed by light modulated through the light valve, onto a screen. 
     An imaging apparatus of the present invention comprises the above-mentioned zoom lens of the present invention. 
     It should be noted that the “magnification side” means a projected side (screen side). Even in a case where projection is performed in a reduced manner, for convenience, the screen side is referred to as the magnification side. On the other hand, the “reduction side” means an image display element side (light valve side). Even in a case where projection is performed in a reduced manner, for convenience, the light valve side is referred to as the reduction side. 
     Further, the “comprises . . . ” means that the zoom lens may include not only the above-mentioned elements but also lenses substantially having no powers, optical elements, which are not lenses, such as a mirror having no power, a stop, a mask, a cover glass, a filter, and the like. 
     Further, the “lens group” is not necessarily formed of a plurality of lenses, but may be formed of only one lens. 
     Further, regarding the “back focal length”, the following assumption is considered: the magnification side and the reduction side respectively correspond to the object side and the image side of a general imaging lens, and the magnification side and the reduction side are respectively referred to as the front side and the back side. 
     According to the present invention, a zoom lens forms an intermediate image at a position conjugate to a reduction side imaging plane and forms the intermediate image again on a magnification side imaging plane. The zoom lens comprises the plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in the direction of the optical axis during zooming, at the position closer to the reduction side than the intermediate image. Among the plurality of lens groups, the final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. The zoom lens satisfies the following conditional expressions (1) and (2). Therefore, it is possible to provide a zoom lens that has high performance by satisfactorily suppressing fluctuation in aberrations during zooming while achieving a wide angle, a projection display device comprising the zoom lens, and an imaging apparatus comprising the zoom lens.
 
6.8&lt; fM/|fw|   (1)
 
0&lt; Y max/| exPw|&lt; 0.1  (2)
 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a cross-sectional view illustrating a configuration of a zoom lens (common to Example 1) according to an embodiment of the present invention. 
         FIG. 2  is a cross-sectional view illustrating a configuration of a zoom lens of Example 2 of the present invention. 
         FIG. 3  is a cross-sectional view illustrating a configuration of a zoom lens of Example 3 of the present invention. 
         FIG. 4  is a cross-sectional view illustrating a configuration of a zoom lens of Example 4 of the present invention. 
         FIG. 5  is a cross-sectional view illustrating a configuration of a zoom lens of Example 5 of the present invention. 
         FIG. 6  is a cross-sectional view illustrating a configuration of a zoom lens of Example 6 of the present invention. 
         FIG. 7  is a cross-sectional view illustrating a configuration of a zoom lens of Example 7 of the present invention. 
         FIG. 8  is a cross-sectional view illustrating a configuration of a zoom lens of Example 8 of the present invention. 
         FIG. 9  is a cross-sectional view illustrating a configuration of a zoom lens of Example 9 of the present invention. 
         FIG. 10  is a cross-sectional view illustrating a configuration of a zoom lens of Example 10 of the present invention. 
         FIG. 11  is a cross-sectional view illustrating a configuration of a zoom lens of Example 11 of the present invention. 
         FIG. 12  is a diagram of aberrations of the zoom lens of Example 1 of the present invention. 
         FIG. 13  is a diagram of aberrations of the zoom lens of Example 2 of the present invention. 
         FIG. 14  is a diagram of aberrations of the zoom lens of Example 3 of the present invention. 
         FIG. 15  is a diagram of aberrations of the zoom lens of Example 4 of the present invention. 
         FIG. 16  is a diagram of aberrations of the zoom lens of Example 5 of the present invention. 
         FIG. 17  is a diagram of aberrations of the zoom lens of Example 6 of the present invention. 
         FIG. 18  is a diagram of aberrations of the zoom lens of Example 7 of the present invention. 
         FIG. 19  is a diagram of aberrations of the zoom lens of Example 8 of the present invention. 
         FIG. 20  is a diagram of aberrations of the zoom lens of Example 9 of the present invention. 
         FIG. 21  is a diagram of aberrations of the zoom lens of Example 10 of the present invention. 
         FIG. 22  is a diagram of aberrations of the zoom lens of Example 11 of the present invention. 
         FIG. 23  is a schematic configuration diagram of a projection display device according to an embodiment of the present invention. 
         FIG. 24  is a schematic configuration diagram of a projection display device according to another embodiment of the present invention. 
         FIG. 25  is a schematic configuration diagram of a projection display device according to still another embodiment of the present invention. 
         FIG. 26  is a perspective view of the front side of an imaging apparatus according to an embodiment of the present invention. 
         FIG. 27  is a perspective view of the rear side of the imaging apparatus shown in  FIG. 26 . 
     
    
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Hereinafter, embodiments of the present invention will be described with reference to drawings.  FIG. 1  is a cross-sectional view illustrating a configuration of a zoom lens according to an embodiment of the present invention. The exemplary configuration shown in  FIG. 1  is the same as the configuration of the zoom lens of Examples 1 to be described later.  FIG. 1  shows a state at the wide-angle end, where an image display surface Sim side is the reduction side, a lens L 1   a  side of the first lens group G 1  is a magnification side, and an aperture stop St shown in the drawing does not necessarily show its real size and shape, but show a position on an optical axis Z. Further, in  FIG. 1 , on-axis rays wa and rays with a maximum angle of view wb are also shown together. 
     This zoom lens is, for example, mounted on a projection display device, and can be used to project image information displayed on the light valve onto the screen. In  FIG. 1 , assuming that the zoom lens is mounted on the projection display device, an optical member PP such as a filter or a prism used in a color synthesizing section or an illumination light separating section, and an image display surface Sim of a light valve positioned on a reduction side surface of the optical member PP are also shown. In the projection display device, rays, which are made to have image information through the image display surface Sim on the image display element, are incident into the zoom lens through the optical member PP, and are transmitted onto a screen, which is not shown in the drawing, through the zoom lens. 
     As shown in  FIG. 1 , the zoom lens of the present embodiment forms an intermediate image at a position conjugate to a reduction side imaging plane (image display surface Sim) and forms the intermediate image again on a magnification side imaging plane. The zoom lens includes a plurality of lens groups including at least two movable lens groups, which move by changing spacings between the groups adjacent to each other in a direction of an optical axis during zooming, at a position closer to the reduction side than the intermediate image. Among the plurality of lens groups, a final lens group closest to the reduction side has a positive refractive power, and remains stationary with respect to the reduction side imaging plane during zooming. 
     In the example shown in  FIG. 1 , the zoom lens includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed between the first lens group G 1  and the second lens group G 2 . The first lens group G 1  and the fourth lens group G 4  remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2  and the third lens group G 3  are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. That is, the second lens group G 2  and the third lens group G 3  correspond to the movable lens groups, and the fourth lens group G 4  corresponds to the final lens group. 
     In a normal zoom lens of a system which does not form an intermediate image, in a case where an increase in angle of view is intended to be achieved by shortening a focal length thereof, the size of the magnification side lens inevitably becomes excessively large. However, in a manner similar to that of the present embodiment, in a zoom lens of a system which forms an intermediate image, it is possible to shorten a back focal length of the lens system (in the example shown in  FIG. 1 , the first lens group G 1 ) closer to the magnification side than the intermediate image. In addition, it is possible to decrease a magnification side lens diameter, and this configuration is appropriate for achieving an increase in angle of view by shortening a focal length thereof. 
     Further, zooming is performed by moving a lens system closer to the reduction side than the intermediate image. As for the zooming operation, change in relay magnification of the lens system closer to the reduction side than the intermediate image corresponds to change in size of the intermediate image, and thus it is possible to achieve an optically simple configuration. 
     Further, the final lens group, which remains stationary with respect to the reduction side imaging plane during zooming and has a positive refractive power, is disposed to be closest to the reduction side. Thereby, it is possible to reduce fluctuation in aberrations during zooming while keeping the zoom lens telecentric. 
     Further, the zoom lens is configured to satisfy the following conditional expressions (1) and (2).
 
6.8&lt; fM/|fw|   (1)
 
0&lt; Y max/| exPw|&lt; 0.1  (2)
 
     Here, fM is a focal length of the final lens group, 
     fw is a focal length of the whole system at the wide-angle end, 
     Ymax is an effective image circle radius on the reduction side, and 
     exPw is a distance on the optical axis from the reduction side imaging plane to a paraxial exit pupil position at the wide-angle end in a case where the reduction side is set as an exit side. 
     The conditional expression (1) is a conditional expression for satisfactorily correcting fluctuation in aberrations during zooming while keeping the zoom lens telecentric. By not allowing the result of the conditional expressions (1) to be equal to or less than the lower limit, it is possible to prevent the power of the final lens group from becoming excessively strong. Thus, by minimizing an amount of occurrence of lateral chromatic aberration in the final lens group, it is possible to easily correct lateral chromatic aberration in other groups. By not allowing the result of the conditional expressions (1) to be equal to or greater than the upper limit, it is possible to prevent the power of the final lens group from becoming excessively weak. Thus, it becomes easy to make the zoom lens telecentric on the reduction side. 
     The conditional expression (2) is also a conditional expression for satisfactorily correcting fluctuation in aberrations during zooming while keeping the zoom lens telecentric in the same manner. By satisfying the conditional expression (2), it becomes easy to ensure telecentricity while obtaining a size of a desired image circle. 
     In addition, in a case where the following conditional expression (1-1) and/or (2-1) is satisfied, it is possible to obtain more favorable characteristics.
 
7&lt; fM/|fw|&lt; 20  (1-1)
 
0&lt; Y max/| exPw|&lt; 0.07  (2-1)
 
     The zoom lens of the present invention may comprise four or five lens groups as a whole. A lens group closest to the magnification side and the final lens group closest to the reduction side may remain stationary with respect to the reduction side imaging plane during zooming. Among lens groups between the lens group closest to the magnification side and the final lens group closest to the reduction side, at least two lens groups may move by changing spacings between the groups adjacent to each other in the direction of the optical axis during zooming. 
     As described above, by adopting a configuration using at most five lens groups, it is possible to simplify a configuration of the entire zoom lens. Further, in a case where the lens group closest to the magnification side is intended to move during zooming, mechanical parts for the zooming operation are increased in size and elongated, and this leads to an increase in costs. Therefore, in addition to the final lens group, the lens group closest to the magnification side is also set to be stationary during zooming, whereby it is possible to solve such a problem. 
     It is preferable that the zoom lens satisfies the following conditional expression (3). By not allowing the result of the conditional expression (3) to be equal to or less than the lower limit, among the plurality of movable lens groups, the power of the movable lens group closest to the reduction side can be prevented from becoming excessively weak. Thus, an amount of movement for ensuring a desired zoom ratio is minimized, and this contributes to reduction in lens total length. By not allowing the result of the conditional expression (3) to be equal to or greater than the upper limit, among the plurality of movable lens groups, the power of the movable lens group closest to the reduction side can be prevented from becoming excessively strong. Thus, it is possible to suppress fluctuation in longitudinal chromatic aberration and spherical aberration during zooming. In addition, in a case where the following conditional expression (3-1) is satisfied, it is possible to obtain more favorable characteristics.
 
0&lt;| fw|/fA&lt; 0.145  (3)
 
0&lt;| fw|/fA&lt; 0.14  (3-1)
 
     Here, fw is a focal length of the whole system at the wide-angle end, and 
     fA is a focal length of a movable lens group closest to the reduction side among the plurality of movable lens groups. 
     It is preferable that the zoom lens satisfies the following conditional expression (4). By not allowing the result of the conditional expression (4) to be equal to or less than the lower limit, among the plurality of movable lens groups, the power of the second movable lens group from the reduction side can be prevented from becoming excessively weak. Thus, it becomes easy to ensure the desired zoom ratio, and this contributes to reduction in lens diameter of the movable lens group. By not allowing the result of the conditional expression (4) to be equal to or greater than the upper limit, among the plurality of movable lens groups, the power of the second movable lens group from the reduction side can be prevented from becoming excessively strong. Thus, it is possible to easily correct astigmatism during zooming. In addition, in a case where the following conditional expression (4-1) is satisfied, it is possible to obtain more favorable characteristics.
 
0.01&lt;| fw|/fB&lt; 0.2  (4)
 
0.03&lt;| fw|/fB&lt; 0.16  (4-1)
 
     Here, fw is a focal length of the whole system at the wide-angle end, and 
     fB is a focal length of a second movable lens group from the reduction side among the plurality of movable lens groups. 
     It is preferable that the zoom lens satisfies the following conditional expression (5). By not allowing the result of the conditional expression (5) to be equal to or less than the lower limit, it is possible to prevent the back focal length from being excessively shortened. Thus, it becomes easy to arrange the color synthesizing prism and the like. In addition, in a case where the following conditional expression (5-1) is satisfied, it is possible to obtain more favorable characteristics. By not allowing the result of the conditional expression (5-1) to be equal to or greater than the upper limit, it is possible to prevent the back focal length from becoming excessively large and the lens diameter from becoming large. Thus, it is possible to suppress an increase in number of lenses and an increase in costs of materials.
 
2&lt; Bfw/|fw|   (5)
 
3&lt; Bfw/|fw|&lt; 11  (5-1)
 
     Here, Bfw is a back focal length of the whole system as an air conversion length at the wide-angle end, and 
     fw is a focal length of the whole system at the wide-angle end. 
     It is preferable that the final lens group is formed as one single lens. With such a configuration, a configuration using the minimum number of lenses required for the lens configuration is made. As a result, this leads to reduction in costs. 
     Next, numerical examples of the zoom lens of the present invention will be described.
         First, a zoom lens of Example 1 will be described.  FIG. 1  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 1. In addition, in  FIG. 1  and  FIGS. 2 to 11  corresponding to Examples 2 to 11 to be described later, an image display surface Sim side is the reduction side, a lens L 1  a side of the first lens group G 1  is a magnification side, and an aperture stop St shown in the drawing does not necessarily show its real size and shape, but show a position on an optical axis Z. Further, in  FIGS. 1 to 11 , on-axis rays wa and rays with a maximum angle of view wb are also shown together.       

     The zoom lens of Example 1 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed between the first lens group G 1  and the second lens group G 2 . The first lens group G 1  and the fourth lens group G 4  remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2  and the third lens group G 3  are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. 
     The first lens group G 1  includes eleven lenses as lenses L 1   a  to L 1   k . The second lens group G 2  includes four lenses as lenses L 2   a  to L 2   d . The third lens group G 3  includes five lenses as lenses L 3   a  to L 3   e . The fourth lens group G 4  includes one lens as only a lens L 4   a.    
     Table 1 shows lens data of the zoom lens of Example 1, Table 2 shows data about specification, Table 3 shows surface spacings which are variable during zooming, and Table 4 shows data about aspheric coefficients thereof. Hereinafter, meanings of the reference signs in the tables are, for example, as described in Example 1, and are basically the same as those in Examples 2 to 11. 
     In the lens data of Table 1, the column of the surface number shows surface numbers. The surface of the elements closest to the magnification side is the first surface, and the surface numbers sequentially increase toward the reduction side. The column of the radius of curvature shows radii of curvature of the respective surfaces. The column of the on-axis surface spacing shows spacings on the optical axis Z between the respective surfaces and the subsequent surfaces. Further, the column of n shows a refractive index of each optical element at the d line (a wavelength of 587.6 nm), and the column of v shows an Abbe number of each optical element at the d line (a wavelength of 587.6 nm). Here, the sign of the radius of curvature is positive in a case where a surface has a shape convex toward the magnification side, and is negative in a case where a surface has a shape convex toward the reduction side. In the lens data, the aperture stop St and the optical member PP are additionally noted. In a place of a surface number of a surface corresponding to the aperture stop St, the surface number and a term of (stop) are noted. Further, in the lens data, in each place of the surface spacing which is variable during zooming, DD[surface number] is noted. Numerical values each corresponding to the DD[surface number] are shown in Table 3. 
     In the data about the specification of Table 2, values of the zoom ratio, the focal length f′, the F number FNo., and the total angle of view 2ω are noted. 
     In the lens data of Table 1, the reference sign * is attached to surface numbers of aspheric surfaces, and radii of curvature of the aspheric surfaces are represented by numerical values of paraxial radii of curvature. In the data about aspheric coefficients of Table 4, surface numbers of aspheric surfaces, and aspheric coefficients of these aspheric surfaces are noted. The “E±n” (n: an integer) in numerical values of the aspheric coefficients of Table 4 indicates “×10 ±n ”. The aspheric coefficients are values of the coefficients KA and Am (m=3 . . . 20) in aspheric surface expression represented by the following expression.
 
 Zd=C·h   2 /{1+(1− KA·C   2   ·h   2 ) 1/2   }+ΣAm·h   m  
 
     Here, Zd is an aspheric surface depth (a length of a perpendicular from a point on an aspheric surface at height h to a plane that is perpendicular to the optical axis and contacts with the vertex of the aspheric surface), 
     h is a height (a distance from the optical axis), 
     C is an inverse of a paraxial radius of curvature, and 
     KA and Am are aspheric coefficients (m=3 . . . 20). 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 EXAMPLE 1 • LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                  *1 
                 −16.8844 
                 3.1041 
                 1.53158 
                 55.08 
               
               
                  *2 
                 −39.1686 
                 11.7946 
               
               
                  3 
                 39.1318 
                 1.7292 
                 1.65160 
                 58.55 
               
               
                  4 
                 8.9360 
                 11.4741 
               
               
                  5 
                 −10.7817 
                 8.5447 
                 1.80400 
                 46.58 
               
               
                  6 
                 −16.6204 
                 0.1373 
               
               
                  7 
                 174.0429 
                 2.4222 
                 1.89286 
                 20.36 
               
               
                  8 
                 −41.4827 
                 3.6906 
               
               
                  9 
                 38.6978 
                 0.9310 
                 1.76182 
                 26.52 
               
               
                  10 
                 18.0298 
                 7.5292 
                 1.49700 
                 81.61 
               
               
                  11 
                 −27.6451 
                 0.5877 
               
               
                  12 
                 −693.0195 
                 0.9310 
                 1.84666 
                 23.78 
               
               
                  13 
                 21.3262 
                 7.4898 
                 1.49700 
                 81.61 
               
               
                  14 
                 −35.1609 
                 0.1385 
               
               
                 *15 
                 34.7539 
                 3.0952 
                 1.49100 
                 57.58 
               
               
                 *16 
                 70.7753 
                 15.2752 
               
               
                  17 
                 26.7420 
                 8.4868 
                 1.72916 
                 54.68 
               
               
                  18 
                 −59.7421 
                 1.8359 
               
               
                  19 
                 −33.6663 
                 1.0341 
                 1.51742 
                 52.43 
               
               
                  20 
                 35.9185 
                 DD [20] 
               
               
                  21 
                 −42.1553 
                 1.2414 
                 1.48749 
                 70.24 
               
               
                  22 
                 65.7706 
                 1.4019 
               
               
                  23 
                 144.0055 
                 9.1288 
                 1.80518 
                 25.42 
               
               
                  24 
                 −34.5237 
                 1.9741 
               
               
                  25 
                 28.9067 
                 11.7248 
                 1.80100 
                 34.97 
               
               
                  26 
                 −26.9627 
                 2.7659 
                 1.78472 
                 25.68 
               
               
                  27 
                 22.7511 
                 DD [27] 
               
               
                  28 
                 34.2130 
                 3.4384 
                 1.83400 
                 37.16 
               
               
                  29 
                 −104.2555 
                 5.9827 
               
               
                  30 
                 12.8227 
                 2.1765 
                 1.67270 
                 32.10 
               
               
                  31 
                 10.2706 
                 2.5533 
               
               
                  32 (STOP) 
                 ∞ 
                 3.5533 
               
               
                  33 
                 −12.9988 
                 5.0138 
                 1.84666 
                 23.78 
               
               
                  34 
                 57.0049 
                 3.4611 
                 1.55032 
                 75.50 
               
               
                  35 
                 −19.5485 
                 0.1376 
               
               
                  36 
                 56.8352 
                 4.1949 
                 1.49700 
                 81.61 
               
               
                  37 
                 −21.9908 
                 DD [37] 
               
               
                  38 
                 37.1429 
                 3.6237 
                 1.89286 
                 20.36 
               
               
                  39 
                 ∞ 
                 9.1782 
               
               
                  40 
                 ∞ 
                 22.2759 
                 1.51633 
                 64.14 
               
               
                  41 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
             
            
               
                   
               
               
                 EXAMPLE 1 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.3 
               
               
                   
                 f′ 
                 −5.72 
                 −7.44 
               
               
                   
                 FNo. 
                 2.00 
                 2.17 
               
               
                   
                 2ω [°] 
                 119.8 
                 106.2 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 EXAMPLE 1 • SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD [20] 
                 20.3768 
                 25.3250 
               
               
                   
                 DD [27] 
                 18.9370 
                 4.8281 
               
               
                   
                 DD [37] 
                 15.0605 
                 24.2212 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 EXAMPLE 1 • ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 1 
                 2 
                 15 
               
               
                   
               
               
                 KA 
                 2.7941853E−01 
                 1.8105190E+00 
                 1.0000000E+00 
               
               
                 A3 
                 −5.0921570E−04 
                 −3.2728478E−04 
                 7.2478928E−05 
               
               
                 A4 
                 6.3873272E−04 
                 4.7708143E−04 
                 7.6173442E−05 
               
               
                 A5 
                 −4.4839039E−05 
                 −1.7854103E−05 
                 −6.1936748E−07 
               
               
                 A6 
                 −1.1876211E−06 
                 −3.0297809E−06 
                 −1.1944480E−06 
               
               
                 A7 
                 2.7572123E−07 
                 3.0052470E−07 
                 6.6734463E−07 
               
               
                 A8 
                 −5.3141374E−09 
                 −4.6232008E−09 
                 −9.8855940E−08 
               
               
                 A9 
                 −8.4646589E−10 
                 −7.6097494E−10 
                 −4.1374715E−09 
               
               
                 A10 
                 4.3494235E−11 
                 4.9961876E−11 
                 2.2518107E−09 
               
               
                 A11 
                 9.4985984E−13 
                 6.6383244E−14 
                 −9.2586206E−11 
               
               
                 A12 
                 −1.1598267E−13 
                 −1.4799288E−13 
                 −2.2927738E−11 
               
               
                 A13 
                 9.2980013E−16 
                 5.0835011E−15 
                 2.0673603E−12 
               
               
                 A14 
                 1.4520584E−16 
                 1.5760865E−16 
                 9.4851376E−14 
               
               
                 A15 
                 −3.6120298E−18 
                 −1.1489940E−17 
                 −1.6277207E−14 
               
               
                 A16 
                 −7.3169783E−20 
                 −7.8026822E−21 
                 3.5575532E−17 
               
               
                 A17 
                 3.5273362E−21 
                 1.1320168E−20 
                 5.9040344E−17 
               
               
                 A18 
                 −6.9875354E−24 
                 −1.3162372E−22 
                 −1.4206486E−18 
               
               
                 A19 
                 −1.1897307E−24 
                 −4.0731287E−24 
                 −8.2650517E−20 
               
               
                 A20 
                 1.3709873E−26 
                 7.3579689E−26 
                 3.0223753E−21 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                   
                 SURFACE 
               
               
                   
                   
                 NUMBER 
               
               
                   
                   
                 16 
               
               
                   
                   
               
               
                   
                 KA 
                 1.0000000E+00 
               
               
                   
                 A3 
                 −5.0237120E−05 
               
               
                   
                 A4 
                 1.9586015E−04 
               
               
                   
                 A5 
                 −2.6030817E−05 
               
               
                   
                 A6 
                 1.8240676E−06 
               
               
                   
                 A7 
                 9.6318799E−07 
               
               
                   
                 A8 
                 −2.1538581E−07 
               
               
                   
                 A9 
                 2.1708011E−09 
               
               
                   
                 A10 
                 3.5847728E−09 
               
               
                   
                 A11 
                 −2.6409287E−10 
               
               
                   
                 A12 
                 −2.7713036E−11 
               
               
                   
                 A13 
                 3.7445443E−12 
               
               
                   
                 A14 
                 7.0466950E−14 
               
               
                   
                 A15 
                 −2.5195342E−14 
               
               
                   
                 A16 
                 3.5827741E−16 
               
               
                   
                 A17 
                 8.4327983E−17 
               
               
                   
                 A18 
                 −2.6831459E−18 
               
               
                   
                 A19 
                 −1.1255821E−19 
               
               
                   
                 A20 
                 4.8065952E−21 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 12  shows aberration diagrams of the zoom lens of Example 1. In addition, in order from the upper left side of  FIG. 12 , spherical aberration, astigmatism, distortion, and lateral chromatic aberration at the wide-angle end are shown. In order from the lower left side of  FIG. 12 , spherical aberration, astigmatism, distortion, and lateral chromatic aberration at the telephoto end are shown. These aberration diagrams show states in a case where the projection distance is set as distances noted in the aberration diagrams. The aberration diagrams illustrating spherical aberration, astigmatism, and distortion indicate aberrations that occur in a case where the d line (a wavelength of 587.6 nm) is set as a reference wavelength. In the spherical aberration diagram, aberrations at the d line (a wavelength of 587.6 nm), the C line (a wavelength of 656.3 nm), and the F line (a wavelength of 486.1 nm) are respectively indicated by the solid line, the long dashed line, and the short dashed line. In the astigmatism diagram, aberrations in sagittal and tangential directions are respectively indicated by the solid line and the short dashed line. In the lateral chromatic aberration, aberrations at the C line (wavelength 656.3 nm) and F line (wavelength 486.1 nm) are respectively indicated by the long dashed line and the short dashed line. In the spherical aberration diagram, FNo. means an F number. In the other aberration diagrams, w means a half angle of view. 
     Reference signs, meanings, and description methods of the respective data pieces according to Example 1 described above are the same as those in the following examples unless otherwise noted. Therefore, in the following description, repeated description will be omitted. 
     Next, a zoom lens of Example 2 will be described.  FIG. 2  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 2. The zoom lens of Example 2 has the same lens groups and has the same number of lenses as that of Example 1. Table 5 shows lens data of the zoom lens of Example 2, Table 6 shows data about specification, Table 7 shows surface spacings which are variable during zooming, Table 8 shows data about aspheric coefficients thereof, and  FIG. 13  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 EXAMPLE 2 • LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                  *1 
                 −17.2414 
                 2.9654 
                 1.53158 
                 55.08 
               
               
                  *2 
                 −49.2125 
                 10.6787 
               
               
                  3 
                 57.6342 
                 1.1725 
                 1.90525 
                 35.04 
               
               
                  4 
                 10.9253 
                 13.5667 
               
               
                  5 
                 −11.9107 
                 0.8969 
                 1.76182 
                 26.52 
               
               
                  6 
                 −55.1342 
                 1.0121 
               
               
                  7 
                 −28.3277 
                 6.7268 
                 1.83481 
                 42.72 
               
               
                  8 
                 −15.6842 
                 0.3448 
               
               
                  9 
                 30.1823 
                 2.7995 
                 1.84666 
                 23.78 
               
               
                  10 
                 −215.4952 
                 19.5983 
               
               
                  11 
                 26.2021 
                 5.6143 
                 1.67790 
                 55.34 
               
               
                  12 
                 −16.8209 
                 0.9310 
                 1.84666 
                 23.78 
               
               
                  13 
                 17.1590 
                 6.8415 
                 1.49700 
                 81.61 
               
               
                  14 
                 −31.6692 
                 1.0851 
               
               
                 *15 
                 −80.8098 
                 2.6353 
                 1.49100 
                 57.58 
               
               
                 *16 
                 −38.8874 
                 12.4450 
               
               
                  17 
                 32.6910 
                 7.2819 
                 1.80100 
                 34.97 
               
               
                  18 
                 −67.1562 
                 3.0694 
               
               
                  19 
                 −31.6933 
                 1.0338 
                 1.80518 
                 25.42 
               
               
                  20 
                 −52.7040 
                 DD [20] 
               
               
                  21 
                 −21.9713 
                 1.4031 
                 1.51633 
                 64.14 
               
               
                  22 
                 62.1066 
                 2.1324 
               
               
                  23 
                 733.6327 
                 7.3028 
                 1.80518 
                 25.42 
               
               
                  24 
                 −27.6406 
                 0.1378 
               
               
                  25 
                 26.5908 
                 9.4251 
                 1.80400 
                 46.58 
               
               
                  26 
                 −48.4069 
                 2.7655 
                 1.71736 
                 29.52 
               
               
                  27 
                 21.6402 
                 DD [27] 
               
               
                  28 
                 31.1458 
                 3.8751 
                 1.80400 
                 46.58 
               
               
                  29 
                 −105.1127 
                 2.7886 
               
               
                  30 
                 14.2690 
                 2.7937 
                 1.51742 
                 52.43 
               
               
                  31 
                 10.2577 
                 4.8370 
               
               
                  32 (STOP) 
                 ∞ 
                 3.5141 
               
               
                  33 
                 −11.7925 
                 1.1040 
                 1.84666 
                 23.78 
               
               
                  34 
                 96.5438 
                 3.4211 
                 1.55032 
                 75.50 
               
               
                  35 
                 −14.7066 
                 2.9957 
               
               
                  36 
                 103.9823 
                 4.4743 
                 1.49700 
                 81.61 
               
               
                  37 
                 −19.3386 
                 DD [37] 
               
               
                  38 
                 35.9871 
                 3.6093 
                 1.89286 
                 20.36 
               
               
                  39 
                 ∞ 
                 9.1786 
               
               
                  40 
                 ∞ 
                 22.2759 
                 1.51633 
                 64.14 
               
               
                  41 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 6 
               
             
            
               
                   
               
               
                 EXAMPLE 2 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.2 
               
               
                   
                 f′ 
                 −5.17 
                 −6.20 
               
               
                   
                 FNo. 
                 2.00 
                 2.13 
               
               
                   
                 2ω [°] 
                 124.8 
                 116.2 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 EXAMPLE 2 • SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD [20] 
                 16.8556 
                 21.6374 
               
               
                   
                 DD [27] 
                 20.0994 
                 8.4390 
               
               
                   
                 DD [37] 
                 12.7668 
                 19.6455 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
               
                   
               
               
                 EXAMPLE 2 • ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 1 
                 2 
                 15 
               
               
                   
               
               
                 KA 
                 2.1299037E−01 
                 2.9144487E+00 
                 1.0000000E+00 
               
               
                 A3 
                 2.1095964E−04 
                 5.7447036E−04 
                 1.2537575E−04 
               
               
                 A4 
                 4.5494679E−04 
                 2.3158155E−04 
                 2.8429524E−05 
               
               
                 A5 
                 −3.0728584E−05 
                 5.6029895E−06 
                 2.8712325E−05 
               
               
                 A6 
                 −8.5803525E−07 
                 −3.1229607E−06 
                 −4.9968459E−06 
               
               
                 A7 
                 1.6042162E−07 
                 1.2387605E−07 
                 4.4197647E−07 
               
               
                 A8 
                 −1.4132779E−09 
                 8.2162984E−09 
                 −2.8611748E−08 
               
               
                 A9 
                 −4.8514693E−10 
                 −5.5504688E−10 
                 2.9140944E−09 
               
               
                 A10 
                 1.6347892E−11 
                 −1.6373047E−11 
                 −1.9704001E−10 
               
               
                 A11 
                 6.9633654E−13 
                 1.8271759E−12 
                 −1.8448163E−11 
               
               
                 A12 
                 −4.4319169E−14 
                 −1.3615695E−16 
                 2.0237386E−12 
               
               
                 A13 
                 −1.9328421E−16 
                 −3.1116331E−15 
                 1.0981586E−13 
               
               
                 A14 
                 5.6298774E−17 
                 3.7160148E−17 
                 −1.2176285E−14 
               
               
                 A15 
                 −6.9018194E−19 
                 3.4446901E−18 
                 −2.9884319E−16 
               
               
                 A16 
                 −3.2317123E−20 
                 −7.3840296E−20 
                 3.5718411E−17 
               
               
                 A17 
                 8.1516171E−22 
                 −1.8154739E−21 
                 4.6057267E−19 
               
               
                 A18 
                 3.7783423E−24 
                 5.0354866E−23 
                 −5.5606437E−20 
               
               
                 A19 
                 −2.7885931E−25 
                 4.5311465E−25 
                 −1.9054616E−22 
               
               
                 A20 
                 2.2694514E−27 
                 −1.4253624E−26 
                 3.1275425E−23 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                   
                 SURFACE 
               
               
                   
                   
                 NUMBER 
               
               
                   
                   
                 16 
               
               
                   
                   
               
               
                   
                 KA 
                 1.0000000E+00 
               
               
                   
                 A3 
                 1.7242359E−04 
               
               
                   
                 A4 
                 7.7526916E−05 
               
               
                   
                 A5 
                 1.6185371E−05 
               
               
                   
                 A6 
                 −1.9412912E−06 
               
               
                   
                 A7 
                 4.6908716E−07 
               
               
                   
                 A8 
                 −1.1584632E−07 
               
               
                   
                 A9 
                 8.6560687E−09 
               
               
                   
                 A10 
                 1.1343582E−09 
               
               
                   
                 A11 
                 −1.9872789E−10 
               
               
                   
                 A12 
                 −1.2612510E−12 
               
               
                   
                 A13 
                 1.5863631E−12 
               
               
                   
                 A14 
                 −3.8512783E−14 
               
               
                   
                 A15 
                 −6.4106638E−15 
               
               
                   
                 A16 
                 2.5553464E−16 
               
               
                   
                 A17 
                 1.2872602E−17 
               
               
                   
                 A18 
                 −6.4962653E−19 
               
               
                   
                 A19 
                 −9.6472547E−21 
               
               
                   
                 A20 
                 5.7790698E−22 
               
               
                   
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 3 will be described.  FIG. 3  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 3. The zoom lens of Example 3 has the same lens groups and has the same number of lenses as that of Example 1. Table 9 shows lens data of the zoom lens of Example 3, Table 10 shows data about specification, Table 11 shows surface spacings which are variable during zooming, Table 12 shows data about aspheric coefficients thereof, and  FIG. 14  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 EXAMPLE 3 • LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 *1 
                 −15.3256 
                 3.1041 
                 1.53158 
                  55.08 
               
               
                 *2 
                 −42.8676 
                 8.1208 
               
               
                  3 
                 72.9696 
                 3.7466 
                 1.58913 
                 61.13 
               
               
                  4 
                 10.9570 
                 14.4952 
               
               
                 *5 
                 −11.4427 
                 10.1271 
                 1.69350 
                 53.18 
               
               
                 *6 
                 −13.5555 
                 0.1385 
               
               
                  7 
                 −226.4073 
                 3.3920 
                 1.85896 
                 22.73 
               
               
                  8 
                 −26.1220 
                 0.2797 
               
               
                  9 
                 38.9490 
                 0.9310 
                 1.84666 
                 23.78 
               
               
                 10 
                 22.1582 
                 8.2830 
                 1.43875 
                 94.66 
               
               
                 11 
                 −20.0167 
                 0.1384 
               
               
                 12 
                 −38.0629 
                 0.9311 
                 1.84666 
                 23.78 
               
               
                 13 
                 25.0469 
                 6.4998 
                 1.55032 
                 75.50 
               
               
                 14 
                 −36.6114 
                 13.2095 
               
               
                 15 
                 26.1474 
                 3.5448 
                 1.69680 
                 55.53 
               
               
                 16 
                 47.4517 
                 0.1377 
               
               
                 17 
                 23.8780 
                 4.5094 
                 1.80400 
                 46.58 
               
               
                 18 
                 41.0164 
                 3.5961 
               
               
                 19 
                 −73.4033 
                 1.0339 
                 1.80400 
                 46.58 
               
               
                 20 
                 44.4268 
                 DD [20] 
               
               
                 21 
                 −85.9366 
                 1.2410 
                 1.48749 
                 70.24 
               
               
                 22 
                 78.8404 
                 1.5622 
               
               
                 23 
                 218.4867 
                 7.5126 
                 1.80518 
                 25.42 
               
               
                 24 
                 −34.9428 
                 0.1379 
               
               
                 25 
                 28.5891 
                 11.7248 
                 1.80100 
                 34.97 
               
               
                 26 
                 −34.4084 
                 2.7656 
                 1.78472 
                 25.68 
               
               
                 27 
                 22.1365 
                 DD [27] 
               
               
                 28 
                 38.5640 
                 6.1592 
                 1.79952 
                 42.22 
               
               
                 29 
                 −96.1119 
                 6.6148 
               
               
                 30 
                 12.5863 
                 1.9009 
                 1.51742 
                 52.43 
               
               
                 31 
                 10.4680 
                 4.1820 
               
               
                 32 (STOP) 
                 ∞ 
                 3.4483 
               
               
                 33 
                 −13.7491 
                 4.5080 
                 1.80518 
                 25.42 
               
               
                 34 
                 44.2803 
                 3.5843 
                 1.55032 
                 75.50 
               
               
                 35 
                 −20.9332 
                 0.1385 
               
               
                 36 
                 66.5912 
                 6.0558 
                 1.49700 
                 81.61 
               
               
                 37 
                 −21.3539 
                 DD [37] 
               
               
                 38 
                 37.9065 
                 3.6665 
                 1.89286 
                 20.36 
               
               
                 39 
                 1065.0734 
                 9.5172 
               
               
                 40 
                 ∞ 
                 22.2759 
                 1.51633 
                 64.14 
               
               
                 41 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
             
            
               
                   
               
               
                 EXAMPLE 3 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.0 
               
               
                   
                 f′ 
                 −5.71 
                 −7.42 
               
               
                   
                 FNo. 
                 2.02 
                 2.22 
               
               
                   
                 2ω [°] 
                 120.2 
                 106.6 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 EXAMPLE 3 • SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD [20] 
                 19.7566 
                 23.3435 
               
               
                   
                 DD [27] 
                 20.3350 
                 7.3697 
               
               
                   
                 DD [37] 
                 16.8274 
                 26.2058 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12 
               
               
                   
               
               
                 EXAMPLE 3 • ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 1 
                 2 
                 5 
               
               
                   
               
               
                 KA 
                 2.7887118E−01 
                 2.5297850E+00 
                 1.0000000E+00 
               
               
                 A3 
                 −1.3189565E−03 
                 −1.0834090E−03 
                 −5.7528541E−20 
               
               
                 A4 
                 1.0077504E−03 
                 7.5981861E−04 
                 −1.0110759E−04 
               
               
                 A5 
                 −7.6981053E−05 
                 −2.8914229E−05 
                 −1.9485961E−05 
               
               
                 A6 
                 −2.4419326E−06 
                 −6.0428862E−06 
                 4.9299861E−06 
               
               
                 A7 
                 6.0487795E−07 
                 5.6995162E−07 
                 −2.4783632E−07 
               
               
                 A8 
                 −1.2399329E−08 
                 3.8888099E−09 
                 −8.6033137E−08 
               
               
                 A9 
                 −2.3034355E−09 
                 −2.3238253E−09 
                 1.4733516E−08 
               
               
                 A10 
                 1.2557565E−10 
                 5.3186008E−11 
               
               
                 A11 
                 3.3640761E−12 
                 4.7688518E−12 
               
               
                 A12 
                 −4.0808819E−13 
                 −2.4246931E−13 
               
               
                 A13 
                 2.6645072E−15 
                 −1.6706577E−15 
               
               
                 A14 
                 6.2698984E−16 
                 3.7971228E−16 
               
               
                 A15 
                 −1.5354132E−17 
                 −7.7910013E−18 
               
               
                 A16 
                 −4.0281086E−19 
                 −2.2338518E−19 
               
               
                 A17 
                 1.8615292E−20 
                 1.3249510E−20 
               
               
                 A18 
                 −1.3664475E−23 
                 −9.4582008E−23 
               
               
                 A19 
                 −7.6715055E−24 
                 −6.0756592E−24 
               
               
                 A20 
                 9.0985547E−26 
                 1.0743584E−25 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                   
                 SURFACE 
               
               
                   
                   
                 NUMBER 
               
               
                   
                   
                 6 
               
               
                   
                   
               
               
                   
                 KA 
                 1.0000000E+00 
               
               
                   
                 A3 
                 2.7450788E−20 
               
               
                   
                 A4 
                 4.9449064E−06 
               
               
                   
                 A5 
                 9.7355695E−06 
               
               
                   
                 A6 
                 −3.3054473E−06 
               
               
                   
                 A7 
                 6.1001854E−07 
               
               
                   
                 A8 
                 −5.4636126E−08 
               
               
                   
                 A9 
                 2.1328996E−09 
               
               
                   
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 4 will be described.  FIG. 4  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 4. 
     The zoom lens of Example 4 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , a fourth lens group G 4 , and a fifth lens group G 5 . An intermediate image is formed between the second lens group G 2  and the third lens group G 3 . The first lens group G 1  and the fifth lens group G 5  remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 , the third lens group G 3 , and the fourth lens group G 4  are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. 
     The first lens group G 1  includes nine lenses as lenses L 1   a  to L 1   i . The second lens group G 2  includes two lenses as lenses L 2   a  and L 2   b . The third lens group G 3  includes four lenses as lenses L 3   a  to L 3   d . The fourth lens group G 4  includes six lenses as lenses L 4   a  to L 4   f . The fifth lens group G 5  includes one lens as only a lens L 5   a.    
     Table 13 shows lens data of the zoom lens of Example 4, Table 14 shows data about specification, Table 15 shows surface spacings which are variable during zooming, Table 16 shows data about aspheric coefficients thereof, and  FIG. 15  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 EXAMPLE 4 • LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                  *1 
                 −15.3257 
                 3.1041 
                 1.53158 
                 55.08 
               
               
                  *2 
                 −33.1892 
                 10.0852 
               
               
                  3 
                 40.4538 
                 2.4685 
                 1.62041 
                 60.29 
               
               
                  4 
                 8.6430 
                 10.0936 
               
               
                  5 
                 −11.2762 
                 7.2577 
                 1.83481 
                 42.72 
               
               
                  6 
                 −17.0955 
                 0.1381 
               
               
                  7 
                 182.9952 
                 2.4765 
                 1.89286 
                 20.36 
               
               
                  8 
                 −36.5411 
                 2.0001 
               
               
                  9 
                 35.6081 
                 0.9317 
                 1.75520 
                 27.51 
               
               
                  10 
                 16.8209 
                 6.8261 
                 1.49700 
                 81.61 
               
               
                  11 
                 −25.4795 
                 0.3399 
               
               
                  12 
                 267.6247 
                 0.9304 
                 1.84666 
                 23.78 
               
               
                  13 
                 18.9387 
                 6.7530 
                 1.49700 
                 81.61 
               
               
                  14 
                 −42.8291 
                 0.1383 
               
               
                 *15 
                 106.4754 
                 2.6191 
                 1.49100 
                 57.58 
               
               
                 *16 
                 −349.9175 
                 DD [16] 
               
               
                  17 
                 30.8964 
                 7.7906 
                 1.80400 
                 46.58 
               
               
                  18 
                 −83.2641 
                 2.7908 
               
               
                  19 
                 −35.5354 
                 1.0345 
                 1.54814 
                 45.78 
               
               
                  20 
                 74.1099 
                 DD [20] 
               
               
                  21 
                 −50.1018 
                 1.2416 
                 1.48749 
                 70.24 
               
               
                  22 
                 67.5112 
                 2.4368 
               
               
                  23 
                 445.9501 
                 7.6268 
                 1.80518 
                 25.42 
               
               
                  24 
                 −35.0369 
                 1.0354 
               
               
                  25 
                 28.9876 
                 11.7241 
                 1.80100 
                 34.97 
               
               
                  26 
                 −37.3021 
                 1.3867 
                 1.78472 
                 25.68 
               
               
                  27 
                 24.2172 
                 DD [27] 
               
               
                  28 
                 40.2271 
                 3.4845 
                 1.80610 
                 40.93 
               
               
                  29 
                 −134.3021 
                 6.4061 
               
               
                  30 
                 14.8879 
                 3.2023 
                 1.59282 
                 68.62 
               
               
                  31 
                 40.2390 
                 0.8342 
                 1.51742 
                 52.43 
               
               
                  32 
                 10.6429 
                 3.4847 
               
               
                  33 (STOP) 
                 ∞ 
                 4.7459 
               
               
                  34 
                 −14.0751 
                 5.7552 
                 1.85478 
                 24.80 
               
               
                  35 
                 121.0700 
                 3.5097 
                 1.59282 
                 68.62 
               
               
                  36 
                 −20.9375 
                 0.1385 
               
               
                  37 
                 53.7339 
                 4.4732 
                 1.43875 
                 94.66 
               
               
                  38 
                 −23.5498 
                 DD [38] 
               
               
                  39 
                 32.9929 
                 3.7045 
                 1.80809 
                 22.76 
               
               
                  40 
                 286.0748 
                 9.1738 
               
               
                  41 
                 ∞ 
                 22.2759 
                 1.51633 
                 64.14 
               
               
                  42 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
             
            
               
                   
               
               
                 EXAMPLE 4 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.6 
               
               
                   
                 f′ 
                 −5.71 
                 −9.14 
               
               
                   
                 FNo. 
                 2.00 
                 2.32 
               
               
                   
                 2ω [°] 
                 120.4 
                 95.4 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 EXAMPLE 4•SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[16] 
                 14.3660 
                 18.1309 
               
               
                   
                 DD[20] 
                 22.1353 
                 27.6169 
               
               
                   
                 DD[27] 
                 30.2604 
                 4.8273 
               
               
                   
                 DD[38] 
                 14.1661 
                 30.3527 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 16 
               
               
                   
               
               
                 EXAMPLE 4•ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 SURFACE 
                   
                   
                   
               
               
                 NUMBER 
                 1 
                 2 
                 15 
               
               
                   
               
               
                 KA 
                  2.4141499E−01 
                 1.2443569E+00 
                 1.0000000E+00 
               
               
                 A3 
                 −1.0548641E−03 
                 −8.8448311E−04  
                 9.9188567E−05 
               
               
                 A4 
                  8.3674285E−04 
                 6.3492583E−04 
                 3.0661548E−05 
               
               
                 A5 
                 −6.2203974E−05 
                 −2.5148517E−05  
                 4.3824644E−05 
               
               
                 A6 
                 −1.6931733E−06 
                 −4.7634497E−06  
                 −1.4133218E−05  
               
               
                 A7 
                  4.3265443E−07 
                 4.6820320E−07 
                 1.7507446E−06 
               
               
                 A8 
                 −9.2963393E−09 
                 7.7190760E−10 
                 1.6107809E−07 
               
               
                 A9 
                 −1.4486672E−09 
                 −1.7808022E−09  
                 −6.5380545E−08  
               
               
                 A10 
                  7.8786293E−11 
                 4.9251890E−11 
                 2.8124535E−09 
               
               
                 A11 
                  1.7996418E−12 
                 3.5072008E−12 
                 8.8411414E−10 
               
               
                 A12 
                 −2.2614666E−13 
                 −2.0320674E−13  
                 −1.0033635E−10  
               
               
                 A13 
                  1.6945437E−15 
                 −1.2839303E−15  
                 −3.1296368E−12  
               
               
                 A14 
                  3.0897395E−16 
                 3.2125472E−16 
                 9.9989872E−13 
               
               
                 A15 
                 −7.5571704E−18 
                 −4.7675296E−18  
                 −2.7219117E−14  
               
               
                 A16 
                 −1.7512626E−19 
                 −2.3371888E−19  
                 −3.9426279E−15  
               
               
                 A17 
                  8.0909075E−21 
                 8.0064105E−21 
                 2.5945002E−16 
               
               
                 A18 
                 −9.3635563E−24 
                 9.2687753E−24 
                 2.3858327E−18 
               
               
                 A19 
                 −2.9829776E−24 
                 −3.5001412E−24  
                 −6.0714673E−19  
               
               
                 A20 
                  3.4190869E−26 
                 4.0836144E−26 
                 1.4353112E−20 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 SURFACE 
                   
               
               
                   
                 NUMBER 
                 16 
               
               
                   
                   
               
               
                   
                 KA 
                 1.0000000E+00 
               
               
                   
                 A3 
                 −1.9710878E−04  
               
               
                   
                 A4 
                 2.7699157E−04 
               
               
                   
                 A5 
                 −3.4909821E−05  
               
               
                   
                 A6 
                 5.8330314E−07 
               
               
                   
                 A7 
                 1.2714550E−06 
               
               
                   
                 A8 
                 −1.8605027E−07  
               
               
                   
                 A9 
                 −5.4440996E−09  
               
               
                   
                 A10 
                 2.8459871E−09 
               
               
                   
                 A11 
                 −9.8577866E−11  
               
               
                   
                 A12 
                 −1.9648267E−11  
               
               
                   
                 A13 
                 1.5012748E−12 
               
               
                   
                 A14 
                 5.0112842E−14 
               
               
                   
                 A15 
                 −8.7059294E−15  
               
               
                   
                 A16 
                 1.2726604E−16 
               
               
                   
                 A17 
                 2.3563163E−17 
               
               
                   
                 A18 
                 −1.0153859E−18  
               
               
                   
                 A19 
                 −2.4244280E−20  
               
               
                   
                 A20 
                 1.6658139E−21 
               
               
                   
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 5 will be described.  FIG. 5  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 5. The zoom lens of Example 5 has the same lens groups and has the same number of lenses as that of Example 4 except that the fourth lens group G 4  includes five lenses as lenses L 4   a  to L 4   e . Table 17 shows lens data of the zoom lens of Example 5, Table 18 shows data about specification, Table 19 shows surface spacings which are variable during zooming, Table 20 shows data about aspheric coefficients thereof, and  FIG. 16  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 17 
               
             
            
               
                   
               
               
                 EXAMPLE 5•LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 *1 
                 −15.3257 
                 3.1037 
                 1.53158 
                 55.08 
               
               
                 *2 
                 −34.7664 
                 11.4247  
               
               
                 3 
                 40.3127 
                 1.7647 
                 1.62299 
                 58.16 
               
               
                 4 
                 8.3917 
                 9.8338 
               
               
                 5 
                 −10.9413 
                 7.9941 
                 1.83481 
                 42.72 
               
               
                 6 
                 −16.9770 
                 0.1377 
               
               
                 7 
                 188.6544 
                 2.5038 
                 1.89286 
                 20.36 
               
               
                 8 
                 −38.7881 
                 1.9933 
               
               
                 9 
                 34.2031 
                 0.9460 
                 1.72825 
                 28.46 
               
               
                 10 
                 16.8209 
                 7.2415 
                 1.49700 
                 81.61 
               
               
                 11 
                 −26.7371 
                 0.5298 
               
               
                 12 
                 349.2887 
                 0.9309 
                 1.84666 
                 23.78 
               
               
                 13 
                 18.5093 
                 7.1110 
                 1.49700 
                 81.61 
               
               
                 14 
                 −41.7340 
                 0.1386 
               
               
                 *15 
                 79.5713 
                 2.7662 
                 1.49100 
                 57.58 
               
               
                 *16 
                 −621.3076 
                 DD[16] 
               
               
                 17 
                 29.6563 
                 7.5688 
                 1.80400 
                 46.58 
               
               
                 18 
                 −95.4511 
                 2.5605 
               
               
                 19 
                 −36.6865 
                 1.0339 
                 1.51742 
                 52.43 
               
               
                 20 
                 44.0816 
                 DD[20] 
               
               
                 21 
                 −51.4439 
                 1.2418 
                 1.48749 
                 70.24 
               
               
                 22 
                 69.7223 
                 2.2483 
               
               
                 23 
                 441.0518 
                 7.4804 
                 1.80518 
                 25.42 
               
               
                 24 
                 −34.1355 
                 1.6469 
               
               
                 25 
                 28.8569 
                 11.7241  
                 1.80100 
                 34.97 
               
               
                 26 
                 −33.2020 
                 1.5448 
                 1.78472 
                 25.68 
               
               
                 27 
                 24.1607 
                 DD[27] 
               
               
                 28 
                 33.6046 
                 3.5630 
                 1.80100 
                 34.97 
               
               
                 29 
                 −180.2001 
                 8.5971 
               
               
                 30 
                 13.5482 
                 1.2464 
                 1.51742 
                 52.43 
               
               
                 31 
                 10.9987 
                 3.2101 
               
               
                 32(STOP) 
                 ∞ 
                 3.4919 
               
               
                 33 
                 −14.0473 
                 4.4740 
                 1.85478 
                 24.80 
               
               
                 34 
                 70.6017 
                 3.6976 
                 1.59282 
                 68.62 
               
               
                 35 
                 −20.0695 
                 0.1380 
               
               
                 36 
                 48.5692 
                 4.7586 
                 1.43875 
                 94.66 
               
               
                 37 
                 −23.3893 
                 DD[37] 
               
               
                 38 
                 35.4283 
                 3.8641 
                 1.80809 
                 22.76 
               
               
                 39 
                 ∞ 
                 9.1746 
               
               
                 40 
                 ∞ 
                 22.2759  
                 1.51633 
                 64.14 
               
               
                 41 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 18 
               
             
            
               
                   
               
               
                 EXAMPLE 5•SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.5 
               
               
                   
                 f′ 
                 −5.71 
                 −8.57 
               
               
                   
                 FNo. 
                 2.00 
                 2.27 
               
               
                   
                 2ω[°] 
                 120.4 
                 98.8 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 19 
               
             
            
               
                   
               
               
                 EXAMPLE 5•SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[16] 
                 16.5809 
                 19.4606 
               
               
                   
                 DD[20] 
                 20.2889 
                 25.0617 
               
               
                   
                 DD[27] 
                 27.0637 
                 5.4902 
               
               
                   
                 DD[37] 
                 17.4423 
                 31.3634 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 20 
               
               
                   
               
               
                 EXAMPLE 5•ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 SURFACE 
                   
                   
                   
               
               
                 NUMBER 
                 1 
                 2 
                 15 
               
               
                   
               
               
                 KA 
                  2.4005572E−01 
                  1.2982535E+00 
                 1.0000000E+00 
               
               
                 A3 
                 −9.4117956E−04 
                 −8.1119456E−04 
                 8.4641293E−05 
               
               
                 A4 
                  8.2140376E−04 
                  6.3727543E−04 
                 6.0083889E−05 
               
               
                 A5 
                 −6.1338797E−05 
                 −2.7193363E−05 
                 1.6551479E−05 
               
               
                 A6 
                 −1.6412446E−06 
                 −4.5371150E−06 
                 −7.5231031E−06  
               
               
                 A7 
                  4.2425029E−07 
                  4.9118627E−07 
                 1.5936698E−06 
               
               
                 A8 
                 −9.2480460E−09 
                 −4.2465019E−09 
                 −4.8437602E−08  
               
               
                 A9 
                 −1.4192032E−09 
                 −1.7105698E−09 
                 −3.6848452E−08  
               
               
                 A10 
                  7.8161464E−11 
                  7.7499087E−11 
                 4.6263308E−09 
               
               
                 A11 
                  1.7400643E−12 
                  2.3931525E−12 
                 2.9213247E−10 
               
               
                 A12 
                 −2.2454204E−13 
                 −2.8190216E−13 
                 −8.8147072E−11  
               
               
                 A13 
                  1.7770892E−15 
                  3.5062529E−15 
                 2.0337483E−12 
               
               
                 A14 
                  3.0669185E−16 
                  4.1255051E−16 
                 6.9640960E−13 
               
               
                 A15 
                 −7.6406657E−18 
                 −1.4330874E−17 
                 −4.6551873E−14  
               
               
                 A16 
                 −1.7295229E−19 
                 −2.3154553E−19 
                 −2.0436648E−15  
               
               
                 A17 
                  8.1462036E−21 
                  1.7632132E−20 
                 2.7187232E−16 
               
               
                 A18 
                 −1.0736468E−23 
                 −9.6081658E−23 
                 −1.9938241E−18  
               
               
                 A19 
                 −2.9999139E−24 
                 −7.2952143E−24 
                 −5.4287538E−19  
               
               
                 A20 
                  3.4610499E−26 
                  1.0689391E−25 
                 1.5952204E−20 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 SURFACE 
                   
               
               
                   
                 NUMBER 
                 16 
               
               
                   
                   
               
               
                   
                 KA 
                 1.0000000E+00 
               
               
                   
                 A3 
                 −1.1528411E−04  
               
               
                   
                 A4 
                 2.3260739E−04 
               
               
                   
                 A5 
                 −3.3901237E−05  
               
               
                   
                 A6 
                 1.9336831E−06 
               
               
                   
                 A7 
                 1.2051151E−06 
               
               
                   
                 A8 
                 −2.5129854E−07  
               
               
                   
                 A9 
                 1.4573787E−09 
               
               
                   
                 A10 
                 4.2460303E−09 
               
               
                   
                 A11 
                 −3.1764927E−10  
               
               
                   
                 A12 
                 −3.1421344E−11  
               
               
                   
                 A13 
                 4.6018352E−12 
               
               
                   
                 A14 
                 5.3879028E−14 
               
               
                   
                 A15 
                 −3.0930304E−14  
               
               
                   
                 A16 
                 6.6051246E−16 
               
               
                   
                 A17 
                 1.0269513E−16 
               
               
                   
                 A18 
                 −4.0507934E−18  
               
               
                   
                 A19 
                 −1.3563390E−19  
               
               
                   
                 A20 
                 6.9559387E−21 
               
               
                   
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 6 will be described.  FIG. 6  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 6. 
     The zoom lens of Example 6 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed in the first lens group G 1 . The first lens group G 1  and the fourth lens group G 4  remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2  and the third lens group G 3  are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. 
     The first lens group G 1  includes fifteen lenses as lenses L 1   a  to L 1   o . The second lens group G 2  includes one lens as only a lens L 2   a . The third lens group G 3  includes five lenses as lenses L 3   a  to L 3   e . The fourth lens group G 4  includes one lens as only a lens L 4   a.    
     Table 21 shows lens data of the zoom lens of Example 6, Table 22 shows data about specification, Table 23 shows surface spacings which are variable during zooming, Table 24 shows data about aspheric coefficients thereof, and  FIG. 17  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 21 
               
             
            
               
                   
               
               
                 EXAMPLE 6•LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 *1 
                 −18.3142 
                 2.4899 
                 1.49100 
                 57.58 
               
               
                 *2 
                 −96.9137 
                 2.0712 
               
               
                 3 
                 48.9275 
                 1.9993 
                 1.76450 
                 49.10 
               
               
                 4 
                 23.9647 
                 7.6151 
               
               
                 5 
                 65.9865 
                 1.4477 
                 1.83400 
                 37.16 
               
               
                 6 
                 16.7451 
                 8.4092 
               
               
                 7 
                 −262.7052 
                 1.1035 
                 1.76200 
                 40.10 
               
               
                 8 
                 22.5206 
                 7.2640 
               
               
                 *9 
                 64.5661 
                 3.4803 
                 1.49100 
                 57.58 
               
               
                 *10 
                 47.6316 
                 5.7784 
               
               
                 11 
                 459.6927 
                 6.7869 
                 1.74077 
                 27.76 
               
               
                 12 
                 −76.4039 
                 0.6899 
               
               
                 13 
                 393.0750 
                 4.9037 
                 1.72047 
                 34.71 
               
               
                 14 
                 −37.8135 
                 36.2305  
               
               
                 15 
                 34.5572 
                 6.0416 
                 1.53775 
                 74.70 
               
               
                 16 
                 −40.9192 
                 1.3530 
               
               
                 17 
                 48.3048 
                 8.6595 
                 1.55352 
                 71.72 
               
               
                 18 
                 −20.1461 
                 1.4095 
                 1.80518 
                 25.42 
               
               
                 19 
                 16.9499 
                 6.8429 
                 1.49700 
                 81.54 
               
               
                 20 
                 −59.0487 
                 8.7868 
               
               
                 *21 
                 −43.6810 
                 4.1374 
                 1.49100 
                 57.58 
               
               
                 *22 
                 −31.9961 
                 0.8987 
               
               
                 23 
                 44.8348 
                 5.5682 
                 1.84666 
                 23.78 
               
               
                 24 
                 −92.5400 
                 55.8754  
               
               
                 25 
                 −93.4627 
                 2.0689 
                 1.80518 
                 25.42 
               
               
                 26 
                 67.9624 
                 10.9710  
                 1.58144 
                 40.89 
               
               
                 27 
                 −35.2286 
                 DD[27] 
               
               
                 28 
                 61.9752 
                 5.8752 
                 1.79952 
                 42.22 
               
               
                 29 
                 −135.9888 
                 DD[29] 
               
               
                 30 
                 17.4375 
                 3.3738 
                 1.83481 
                 42.72 
               
               
                 31 
                 106.9410 
                 0.8537 
               
               
                 32 
                 167.9264 
                 0.9631 
                 1.74000 
                 28.30 
               
               
                 33 
                 12.2493 
                 1.7400 
               
               
                 34(STOP) 
                 ∞ 
                 5.6501 
               
               
                 35 
                 −15.0061 
                 2.0324 
                 1.84666 
                 23.78 
               
               
                 36 
                 70.3074 
                 5.3081 
                 1.53775 
                 74.70 
               
               
                 37 
                 −21.7095 
                 1.6271 
               
               
                 38 
                 178.8720 
                 4.3492 
                 1.53775 
                 74.70 
               
               
                 39 
                 −23.3635 
                 DD[39] 
               
               
                 40 
                 46.9154 
                 3.8362 
                 1.89286 
                 20.36 
               
               
                 41 
                 −188.9199 
                 14.7937  
               
               
                 42 
                 ∞ 
                 17.2414  
                 1.51633 
                 64.14 
               
               
                 43 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 22 
               
             
            
               
                   
               
               
                 EXAMPLE 6•SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.1 
               
               
                   
                 f′ 
                 −3.47 
                 −3.81 
               
               
                   
                 FNo. 
                 1.99 
                 1.99 
               
               
                   
                 2ω[°] 
                 141.6 
                 138.2 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 23 
               
             
            
               
                   
               
               
                 EXAMPLE 6•SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[27] 
                 5.8860 
                 0.3455 
               
               
                   
                 DD[29] 
                 23.8400 
                 27.3957 
               
               
                   
                 DD[39] 
                 7.8289 
                 9.8136 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 24 
               
               
                   
               
               
                 EXAMPLE 6•ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 SURFACE 
                   
                   
                   
               
               
                 NUMBER 
                 1 
                 2 
                 9 
               
               
                   
               
               
                 KA 
                 −1.2613865E+00  
                 −7.3647229E+00 
                 1.0000000E+00 
               
               
                 A3 
                 1.1196253E−03 
                  1.9031889E−03 
                 0.0000000E+00 
               
               
                 A4 
                 6.1879132E−05 
                 −5.0287550E−04 
                 −1.4533914E−04  
               
               
                 A5 
                 −7.3041219E−06  
                  1.5272557E−04 
                 7.1537183E−06 
               
               
                 A6 
                 1.8469896E−07 
                 −3.1440946E−05 
                 1.3113009E−06 
               
               
                 A7 
                 5.8099862E−09 
                  4.4963146E−06 
                 −1.6648358E−07  
               
               
                 A8 
                 −4.0627724E−10  
                 −4.5741341E−07 
                 −2.8775798E−09  
               
               
                 A9 
                 2.1741878E−12 
                  3.3726144E−08 
                 1.2313102E−09 
               
               
                 A10 
                 3.8327193E−13 
                 −1.8233120E−09 
                 −2.7356804E−11  
               
               
                 A11 
                 −9.1297258E−15  
                  7.2338783E−11 
                 −3.0053995E−12  
               
               
                 A12 
                 −1.1288974E−16  
                 −2.0816849E−12 
                 1.2058813E−13 
               
               
                 A13 
                 6.4368883E−18 
                  4.2257416E−14 
                 0.0000000E+00 
               
               
                 A14 
                 −3.1753242E−20  
                 −5.7339175E−16 
                 0.0000000E+00 
               
               
                 A15 
                 −1.4578632E−21  
                  4.6652540E−18 
                 0.0000000E+00 
               
               
                 A16 
                 1.7393012E−23 
                 −1.7206958E−20 
                 0.0000000E+00 
               
               
                 A17 
                   
                   
                 0.0000000E+00 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 SURFACE 
                   
                   
                   
               
               
                 NUMBER 
                 10 
                 21 
                 22 
               
               
                   
               
               
                 KA 
                 1.0000000E+00 
                 1.0000000E+00 
                 1.0000000E+00 
               
               
                 A3 
                 0.0000000E+00 
                 0.0000000E+00 
                 0.0000000E+00 
               
               
                 A4 
                 −1.0652978E−04  
                 1.0767184E−04 
                 2.2917737E−04 
               
               
                 A5 
                 9.5695242E−06 
                 −4.6749047E−06  
                 −1.5005036E−05  
               
               
                 A6 
                 3.9287893E−07 
                 −2.0571848E−06  
                 −1.1577556E−06  
               
               
                 A7 
                 −1.1814696E−07  
                 1.5517996E−07 
                 1.8648484E−07 
               
               
                 A8 
                 3.1171043E−09 
                 1.7816833E−08 
                 1.6385947E−09 
               
               
                 A9 
                 5.3806466E−10 
                 −2.1237357E−09  
                 −1.1356529E−09  
               
               
                 A10 
                 −2.6654605E−11  
                 −8.7405600E−11  
                 6.3097062E−12 
               
               
                 A11 
                 −7.7570364E−13  
                 1.5134798E−11 
                 4.2378755E−12 
               
               
                 A12 
                 4.8619495E−14 
                 1.5443689E−13 
                 −3.7212562E−14  
               
               
                 A13 
                 0.0000000E+00 
                 −6.0858244E−14  
                 −9.3079102E−15  
               
               
                 A14 
                 0.0000000E+00 
                 3.1987853E−16 
                 8.7785436E−17 
               
               
                 A15 
                 0.0000000E+00 
                 1.3207939E−16 
                 1.0840632E−17 
               
               
                 A16 
                 0.0000000E+00 
                 −1.0174698E−18  
                 −7.9476957E−20  
               
               
                 A17 
                 0.0000000E+00 
                 −1.1978965E−19  
                 −5.1116703E−21  
               
               
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 7 will be described.  FIG. 7  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 7. 
     The zoom lens of Example 7 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , a fourth lens group G 4 , and a fifth lens group G 5 . An intermediate image is formed in the second lens group G 2 . The first lens group G 1  and the fifth lens group G 5  remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2 , the third lens group G 3 , and the fourth lens group G 4  are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. 
     The first lens group G 1  includes six lenses as lenses L 1   a  to L 1   f . The second lens group G 2  includes six lenses as lenses L 2   a  to L 2   f . The third lens group G 3  includes two lenses as lenses L 3   a  and L 3   b . The fourth lens group G 4  includes five lenses as lenses L 4   a  to L 4   e . The fifth lens group G 5  includes one lens as only a lens L 5   a.    
     Table 25 shows lens data of the zoom lens of Example 7, Table 26 shows data about specification, Table 27 shows surface spacings which are variable during zooming, Table 28 shows data about aspheric coefficients thereof, and  FIG. 18  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 25 
               
             
            
               
                   
               
               
                 EXAMPLE 7•LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 *1 
                 −3.9258 
                 3.1037 
                 1.53158 
                 55.08 
               
               
                 *2 
                 −6.6674 
                 9.0167 
               
               
                 3 
                 84.5054 
                 1.8402 
                 1.69680 
                 55.53 
               
               
                 4 
                 17.3088 
                 7.6118 
               
               
                 *5 
                 55.8371 
                 1.2407 
                 1.80400 
                 46.58 
               
               
                 6 
                 13.9867 
                 14.2116 
               
               
                 7 
                 −16.1213 
                 3.9488 
                 1.59282 
                 68.62 
               
               
                 8 
                 −23.3208 
                 0.1384 
               
               
                 9 
                 −200.8834 
                 5.7152 
                 1.83481 
                 42.72 
               
               
                 10 
                 −49.0318 
                 1.7248 
               
               
                 11 
                 107.6393 
                 2.6253 
                 1.90366 
                 31.31 
               
               
                 12 
                 −117.2064 
                 DD[12] 
               
               
                 13 
                 48.1259 
                 9.4978 
                 1.49700 
                 81.54 
               
               
                 14 
                 −34.6322 
                 6.2104 
               
               
                 15 
                 20.9019 
                 6.6271 
                 1.59282 
                 68.62 
               
               
                 16 
                 −20.6672 
                 1.3306 
                 1.80518 
                 25.46 
               
               
                 17 
                 20.7742 
                 7.5940 
                 1.49700 
                 81.54 
               
               
                 18 
                 −33.2183 
                 3.8261 
               
               
                 *19 
                 23.8746 
                 3.4286 
                 1.49100 
                 57.58 
               
               
                 *20 
                 36.4478 
                 25.0914 
               
               
                 *21 
                 −42.1535 
                 12.2050 
                 1.83400 
                 37.16 
               
               
                 *22 
                 −23.7526 
                 DD[22] 
               
               
                 23 
                 91.3107 
                 12.4214 
                 1.83481 
                 42.72 
               
               
                 24 
                 −26.5924 
                 2.2066 
                 1.84666 
                 23.78 
               
               
                 25 
                 −82.9830 
                 DD[25] 
               
               
                 26 
                 39.8212 
                 6.8970 
                 1.89286 
                 20.36 
               
               
                 27 
                 18.0179 
                 0.8279 
               
               
                 28 
                 41.3339 
                 1.3794 
                 1.90366 
                 31.31 
               
               
                 29 
                 −68.8597 
                 1.8857 
               
               
                 30(STOP) 
                 ∞ 
                 3.7475 
               
               
                 31 
                 −16.9633 
                 0.6900 
                 1.84666 
                 23.78 
               
               
                 32 
                 22.9259 
                 13.3373 
                 1.59282 
                 68.62 
               
               
                 33 
                 −25.6607 
                 4.3219 
               
               
                 34 
                 140.1251 
                 4.8737 
                 1.49700 
                 81.54 
               
               
                 35 
                 −27.4746 
                 DD[35] 
               
               
                 36 
                 90.2922 
                 4.9518 
                 1.89286 
                 20.36 
               
               
                 37 
                 −102.3716 
                 12.4703 
               
               
                 38 
                 ∞ 
                 22.2759 
                 1.51633 
                 64.14 
               
               
                 39 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 26 
               
             
            
               
                   
               
               
                 EXAMPLE 7•SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.05 
               
               
                   
                 f′ 
                 −3.39 
                 −3.56 
               
               
                   
                 FNo. 
                 2.00 
                 2.00 
               
               
                   
                 2ω[°] 
                 142.2 
                 140.6 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 27 
               
             
            
               
                   
               
               
                 EXAMPLE 7•SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WINE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[12] 
                 21.1893 
                 21.1374 
               
               
                   
                 DD[22] 
                 7.4621 
                 4.1951 
               
               
                   
                 DD[25] 
                 20.0685 
                 21.6288 
               
               
                   
                 DD[35] 
                 1.0616 
                 2.8202 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 28 
               
               
                   
               
               
                 EXAMPLE 7•ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 SURFACE 
                   
                   
                   
               
               
                 NUMBER 
                 1 
                 2 
                 5 
               
               
                   
               
               
                 KA 
                 −1.7095288E+00  
                 −4.0432390E+00 
                  1.0000000E+00 
               
               
                 A3 
                 3.7980588E−03 
                  3.1947917E−03 
               
               
                 A4 
                 −6.8855043E−05  
                 −2.6705955E−04 
                 −3.0419920E−05 
               
               
                 A5 
                 −1.8832782E−05  
                  2.2341850E−04 
               
               
                 A6 
                 1.2112954E−06 
                 −5.6914062E−05 
                  1.1431133E−07 
               
               
                 A7 
                 9.5009583E−09 
                  8.1540380E−06 
               
               
                 A8 
                 −3.0545738E−09  
                 −8.3028905E−07 
                 −5.7804966E−11 
               
               
                 A9 
                 5.3192775E−11 
                  6.5780530E−08 
               
               
                 A10 
                 3.6131407E−12 
                 −4.0301258E−09 
                 −2.9915434E−15 
               
               
                 A11 
                 −1.2403642E−13  
                  1.7947509E−10 
               
               
                 A12 
                 −1.9358350E−15  
                 −5.3941969E−12 
               
               
                 A13 
                 1.2359897E−16 
                  1.0383180E−13 
               
               
                 A14 
                 4.4867357E−20 
                 −1.4902076E−15 
               
               
                 A15 
                 −6.5401821E−20  
                  2.7852683E−17 
               
               
                 A16 
                 4.6151956E−22 
                 −3.6274120E−19 
               
               
                 A17 
                 1.7941549E−23 
                 −6.3932566E−21 
               
               
                 A18 
                 −2.0652057E−25  
                  1.8413162E−22 
               
               
                 A19 
                 −2.0089861E−27  
                  1.3219347E−24 
               
               
                 A20 
                 2.9223794E−29 
                 −4.3919128E−26 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 SURFACE 
                   
                   
                   
               
               
                 NUMBER 
                 19 
                 20 
                 21 
               
               
                   
               
               
                 KA 
                 −1.1452956E+02 
                 3.8414928E+00 
                 1.0000000E+00 
               
               
                 A3 
                 −5.1578410E−04 
                 −9.1363252E−04  
               
               
                 A4 
                  1.6124378E−03 
                 3.3511935E−04 
                 −1.6924518E−06  
               
               
                 A5 
                 −5.0212685E−04 
                 −1.1248379E−04  
               
               
                 A6 
                  2.2052351E−05 
                 −2.5017511E−05  
                 −2.1647138E−08  
               
               
                 A7 
                  9.9173935E−06 
                 8.6185266E−06 
               
               
                 A8 
                 −1.2398753E−06 
                 1.7753935E−07 
                 7.5379885E−12 
               
               
                 A9 
                 −7.8951964E−08 
                 −2.2635925E−07  
               
               
                 A10 
                  1.6799317E−08 
                 5.5592846E−09 
                 2.4173319E−15 
               
               
                 A11 
                  3.1883320E−10 
                 3.3275402E−09 
               
               
                 A12 
                 −1.1702773E−10 
                 −1.5825195E−10  
               
               
                 A13 
                 −5.7150368E−13 
                 −2.8011863E−11  
               
               
                 A14 
                  4.7045786E−13 
                 1.7341278E−12 
               
               
                 A15 
                 −1.6510937E−16 
                 1.3432364E−13 
               
               
                 A16 
                 −1.1031708E−15 
                 −9.7185723E−15  
               
               
                 A17 
                  2.1335677E−18 
                 −3.4097763E−16  
               
               
                 A18 
                  1.4056761E−18 
                 2.7678648E−17 
               
               
                 A19 
                 −2.2241176E−21 
                 3.5467827E−19 
               
               
                 A20 
                 −7.5435201E−22 
                 −3.1865180E−20  
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                 SURFACE 
                   
               
               
                   
                 NUMBER 
                 22 
               
               
                   
                   
               
               
                   
                 KA 
                 1.0000000E+00 
               
               
                   
                 A4 
                 0.0000000E+00 
               
               
                   
                 A6 
                 0.0000000E+00 
               
               
                   
                 A8 
                 0.0000000E+00 
               
               
                   
                 A10 
                 0.0000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 8 will be described.  FIG. 8  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 8. 
     The zoom lens of Example 8 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , and a fourth lens group G 4 . An intermediate image is formed in the first lens group G 1 . The first lens group G 1  and the fourth lens group G 4  remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2  and the third lens group G 3  are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. 
     The first lens group G 1  includes twelve lenses as lenses L 1   a  to L 1   l . The second lens group G 2  includes two lenses as lenses L 2   a  and L 2   b . The third lens group G 3  includes five lenses as lenses L 3   a  to L 3   e . The fourth lens group G 4  includes one lens as only a lens L 4   a.    
     Table 29 shows lens data of the zoom lens of Example 8, Table 30 shows data about specification, Table 31 shows surface spacings which are variable during zooming, Table 32 shows data about aspheric coefficients thereof, and  FIG. 19  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 29 
               
             
            
               
                   
               
               
                 EXAMPLE 8•LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 *1 
                 −3.9261 
                 3.1028 
                 1.53158 
                 55.08 
               
               
                 *2 
                 −6.6674 
                 9.2268 
               
               
                 3 
                 87.9406 
                 1.7243 
                 1.69680 
                 55.53 
               
               
                 4 
                 17.5353 
                 7.2616 
               
               
                 *5 
                 54.2864 
                 1.2408 
                 1.80400 
                 46.58 
               
               
                 6 
                 14.2107 
                 14.9180 
               
               
                 7 
                 −15.9688 
                 4.5125 
                 1.59282 
                 68.62 
               
               
                 8 
                 −22.0377 
                 0.1922 
               
               
                 9 
                 −187.1105 
                 3.3112 
                 1.83481 
                 42.72 
               
               
                 10 
                 −50.1636 
                 1.7243 
               
               
                 11 
                 109.2648 
                 5.8546 
                 1.90366 
                 31.31 
               
               
                 12 
                 −134.3402 
                 21.2535 
               
               
                 13 
                 53.6247 
                 10.9636 
                 1.59282 
                 68.62 
               
               
                 14 
                 −38.6576 
                 5.0139 
               
               
                 15 
                 21.6966 
                 6.6322 
                 1.59282 
                 68.62 
               
               
                 16 
                 −21.8692 
                 1.4180 
                 1.80518 
                 25.46 
               
               
                 17 
                 19.6183 
                 7.1138 
                 1.49700 
                 81.54 
               
               
                 18 
                 −35.1083 
                 4.4075 
               
               
                 *19 
                 24.1707 
                 3.1734 
                 1.49100 
                 57.58 
               
               
                 *20 
                 39.6030 
                 25.1690 
               
               
                 *21 
                 −41.1759 
                 13.4971 
                 1.83400 
                 37.16 
               
               
                 *22 
                 −24.3035 
                 DD[22] 
               
               
                 23 
                 75.9290 
                 11.1603 
                 1.83481 
                 42.72 
               
               
                 24 
                 −29.2766 
                 2.2063 
                 1.84666 
                 23.78 
               
               
                 25 
                 −104.0156 
                 DD[25] 
               
               
                 26 
                 42.2806 
                 6.7602 
                 1.89286 
                 20.36 
               
               
                 27 
                 18.8129 
                 0.8641 
               
               
                 28 
                 47.3959 
                 3.5848 
                 1.90366 
                 31.31 
               
               
                 29 
                 −62.0620 
                 1.8402 
               
               
                 30(STOP) 
                 ∞ 
                 3.2518 
               
               
                 31 
                 −17.9944 
                 3.8293 
                 1.84666 
                 23.78 
               
               
                 32 
                 27.2161 
                 8.9730 
                 1.59282 
                 68.62 
               
               
                 33 
                 −26.3998 
                 7.0962 
               
               
                 34 
                 148.9135 
                 4.8282 
                 1.49700 
                 81.54 
               
               
                 35 
                 −28.1958 
                 DD[35] 
               
               
                 36 
                 86.4463 
                 4.8269 
                 1.89286 
                 20.36 
               
               
                 37 
                 −100.4970 
                 12.4117 
               
               
                 38 
                 ∞ 
                 22.2759 
                 1.51633 
                 64.14 
               
               
                 39 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 30 
               
             
            
               
                   
               
               
                 EXAMPLE 8 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.05 
               
               
                   
                 f′ 
                 −3.44 
                 −3.61 
               
               
                   
                 FNo. 
                 2.00 
                 2.00 
               
               
                   
                 2ω [°] 
                 141.4 
                 139.8 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 31 
               
             
            
               
                   
               
               
                 EXAMPLE 8 • SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[22] 
                 7.5586 
                 4.2329 
               
               
                   
                 DD[25] 
                 20.0872 
                 21.4725 
               
               
                   
                 DD[35] 
                 1.0117 
                 2.9521 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 32 
               
               
                   
               
               
                 EXAMPLE 8 • ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 1 
                 2 
                 5 
               
               
                   
               
               
                 KA 
                 −1.7096202E+00 
                 −4.0425773E+00 
                 1.0000000E+00 
               
               
                 A3 
                 3.8021165E−03 
                 3.1976851E−03 
               
               
                 A4 
                 −6.9203959E−05 
                 −2.6675505E−04 
                 −3.0448817E−05 
               
               
                 A5 
                 −1.8877194E−05 
                 2.2241895E−04 
               
               
                 A6 
                 1.2159913E−06 
                 −5.6650619E−05 
                 1.1430408E−07 
               
               
                 A7 
                 9.5627265E−09 
                 8.1118225E−06 
               
               
                 A8 
                 −3.0700011E−09 
                 −8.2528404E−07 
                 −5.7807943E−11 
               
               
                 A9 
                 5.3319543E−11 
                 6.5328545E−08 
               
               
                 A10 
                 3.6373704E−12 
                 −3.9995451E−09 
                 −2.9916774E−15 
               
               
                 A11 
                 −1.2452918E−13 
                 1.7799017E−10 
               
               
                 A12 
                 −1.9551069E−15 
                 −5.3454281E−12 
               
               
                 A13 
                 1.2422746E−16 
                 1.0280014E−13 
               
               
                 A14 
                 5.1228778E−20 
                 −1.4742078E−15 
               
               
                 A15 
                 −6.5800514E−20 
                 2.7546286E−17 
               
               
                 A16 
                 4.6230070E−22 
                 −3.5855344E−19 
               
               
                 A17 
                 1.8068367E−23 
                 −6.3152675E−21 
               
               
                 A18 
                 −2.0760382E−25 
                 1.8172062E−22 
               
               
                 A19 
                 −2.0251005E−27 
                 1.3037456E−24 
               
               
                 A20 
                 2.9428653E−29 
                 −4.3274632E−26 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 19 
                 20 
                 21 
               
               
                   
               
               
                 KA 
                 −1.1452963E+02 
                 3.8417266E+00 
                 1.0000000E+00 
               
               
                 A3 
                 −4.8259692E−04 
                 −7.3834569E−04 
               
               
                 A4 
                 1.5476745E−03 
                 2.3232706E−04 
                 −1.7065366E−06 
               
               
                 A5 
                 −5.0172623E−04 
                 −1.2011765E−04 
               
               
                 A6 
                 2.3616367E−05 
                 −2.0992650E−05 
                 −2.1663553E−08 
               
               
                 A7 
                 9.8924709E−06 
                 8.7048977E−06 
               
               
                 A8 
                 −1.2594751E−06 
                 8.9448159E−08 
                 7.5361646E−12 
               
               
                 A9 
                 −7.8708984E−08 
                 −2.2482665E−07 
               
               
                 A10 
                 1.6937320E−08 
                 6.7173772E−09 
                 2.4170460E−15 
               
               
                 A11 
                 3.1809099E−10 
                 3.2716611E−09 
               
               
                 A12 
                 −1.1757840E−10 
                 −1.6714905E−10 
               
               
                 A13 
                 −5.7315864E−13 
                 −2.7350053E−11 
               
               
                 A14 
                 4.7161361E−13 
                 1.7699804E−12 
               
               
                 A15 
                 −1.4820445E−16 
                 1.3044321E−13 
               
               
                 A16 
                 −1.1040062E−15 
                 −9.7629965E−15 
               
               
                 A17 
                 2.0920832E−18 
                 −3.2961550E−16 
               
               
                 A18 
                 1.4047454E−18 
                 2.7535087E−17 
               
               
                 A19 
                 −2.1890990E−21 
                 3.4144188E−19 
               
               
                 A20 
                 −7.5289696E−22 
                 −3.1475857E−20 
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                   
                 SURFACE NUMBER 
               
               
                   
                   
                 22 
               
               
                   
                   
               
               
                   
                 KA 
                 1.0000000E+00 
               
               
                   
                 A4 
                 0.0000000E+00 
               
               
                   
                 A6 
                 0.0000000E+00 
               
               
                   
                 A8 
                 0.0000000E+00 
               
               
                   
                 A10 
                 0.0000000E+00 
               
               
                   
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 9 will be described.  FIG. 9  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 9. 
     The zoom lens of Example 9 includes, in order from the magnification side, a first lens group G 1 , a second lens group G 2 , a third lens group G 3 , a fourth lens group G 4 , and a fifth lens group G 5 . An intermediate image is formed between the first lens group G 1  and the second lens group G 2 . The first lens group G 1 , third lens group G 3 , and fifth lens group G 5  remain stationary with respect to the reduction side imaging plane (image display surface Sim) during zooming. The second lens group G 2  and fourth lens group G 4  are configured to move by changing spacings of the groups adjacent to each other in the direction of the optical axis during zooming. 
     The first lens group G 1  includes ten lenses as lenses L 1   a  to L 1   j . The second lens group G 2  includes one lens as only a lens L 2   a . The third lens group G 3  includes two lenses as lenses L 3   a  and L 3   b . The fourth lens group G 4  includes five lenses as lenses L 4   a  to L 4   e . The fifth lens group G 5  includes one lens as only a lens L 5   a.    
     Table 33 shows lens data of the zoom lens of Example 9, Table 34 shows data about specification, Table 35 shows surface spacings which are variable during zooming, Table 36 shows data about aspheric coefficients thereof, and  FIG. 20  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 33 
               
             
            
               
                   
               
               
                 EXAMPLE 9 • LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                  *1 
                 80.6473 
                 2.2663 
                 1.69350 
                 53.18 
               
               
                  *2 
                 9.1471 
                 12.1164 
               
               
                  *3 
                 −31.3855 
                 1.4168 
                 1.80610 
                 40.88 
               
               
                  *4 
                 28.5427 
                 11.0669 
               
               
                  5 
                 −11.5837 
                 4.0228 
                 1.85150 
                 40.78 
               
               
                  6 
                 −14.1907 
                 0.2266 
               
               
                  7 
                 26.1012 
                 4.1199 
                 1.85150 
                 40.78 
               
               
                  8 
                 −39.3966 
                 2.3919 
               
               
                  9 
                 −26.3672 
                 0.8090 
                 1.89286 
                 20.36 
               
               
                  10 
                 −42.4239 
                 10.0949 
               
               
                  11 
                 −130.4109 
                 3.7052 
                 1.49700 
                 81.54 
               
               
                  12 
                 −10.8701 
                 0.7994 
                 1.85478 
                 24.80 
               
               
                  13 
                 −16.7081 
                 2.3929 
               
               
                  14 
                 29.6286 
                 5.3920 
                 1.49700 
                 81.54 
               
               
                  15 
                 −14.8446 
                 0.9170 
                 1.85478 
                 24.80 
               
               
                  16 
                 −383.4778 
                 13.2031 
               
               
                 *17 
                 68.7066 
                 5.4422 
                 1.69350 
                 53.18 
               
               
                 *18 
                 −22.5650 
                 DD[18] 
               
               
                  19 
                 172.1176 
                 5.4189 
                 1.85478 
                 24.80 
               
               
                  20 
                 −48.9826 
                 DD[20] 
               
               
                  21 
                 −40.0453 
                 1.0256 
                 1.51633 
                 64.14 
               
               
                  22 
                 458.7553 
                 4.2843 
               
               
                  23 
                 −53.4461 
                 1.5756 
                 1.85478 
                 24.80 
               
               
                  24 
                 −31.7531 
                 DD[24] 
               
               
                  25 
                 22.9231 
                 3.2440 
                 1.59522 
                 67.73 
               
               
                  26 
                 800.8242 
                 6.0807 
               
               
                  27 
                 15.1415 
                 0.8276 
                 1.51742 
                 52.43 
               
               
                  28 
                 12.5991 
                 −1.5821 
               
               
                  29 (STOP) 
                 ∞ 
                 11.7693 
               
               
                  30 
                 −17.4861 
                 0.7915 
                 1.85478 
                 24.80 
               
               
                  31 
                 56.7446 
                 3.2223 
                 1.49700 
                 81.54 
               
               
                  32 
                 −19.8211 
                 13.5943 
               
               
                  33 
                 89.4278 
                 4.7268 
                 1.49700 
                 81.54 
               
               
                  34 
                 −40.5134 
                 DD[34] 
               
               
                  35 
                 85.5280 
                 2.6501 
                 1.89286 
                 20.36 
               
               
                  36 
                 −229.9919 
                 12.3069 
               
               
                  37 
                 ∞ 
                 49.9717 
                 1.51633 
                 64.14 
               
               
                  38 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 34 
               
             
            
               
                   
               
               
                 EXAMPLE 9 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.2 
               
               
                   
                 f′ 
                 −4.47 
                 −4.92 
               
               
                   
                 FNo. 
                 2.51 
                 2.57 
               
               
                   
                 2ω [°] 
                 131.6 
                 127.2 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 35 
               
             
            
               
                   
               
               
                 EXAMPLE 9 • SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[18] 
                 24.4140 
                 25.9129 
               
               
                   
                 DD[20] 
                 38.0764 
                 36.5775 
               
               
                   
                 DD[24] 
                 25.9106 
                 21.2419 
               
               
                   
                 DD[34] 
                 0.2266 
                 4.8953 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 36 
               
               
                   
               
               
                 EXAMPLE 9 • ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 1 
                 2 
                 3 
               
               
                   
               
               
                 KA 
                 −1.5000009E+01 
                 −8.3138553E−01 
                 −1.9546431E+00 
               
               
                 A3 
                 5.0192936E−04 
                 1.5397733E−03 
                 1.0217206E−03 
               
               
                 A4 
                 1.3813260E−05 
                 −1.6804737E−04 
                 1.0570408E−05 
               
               
                 A5 
                 −1.7493172E−06 
                 6.6926079E−05 
                 2.4547939E−07 
               
               
                 A6 
                 4.5068924E−08 
                 −1.1336637E−05 
                 −5.0469845E−08 
               
               
                 A7 
                 1.1460739E−09 
                 1.3346904E−06 
                 −3.5471671E−09 
               
               
                 A8 
                 −5.7623835E−11 
                 −1.1195069E−07 
                 −2.0069276E−10 
               
               
                 A9 
                 3.6117420E−13 
                 6.6902463E−09 
                 −2.1817789E−11 
               
               
                 A10 
                 4.9851959E−14 
                 −2.9503205E−10 
                 1.6123686E−12 
               
               
                 A11 
                 −2.7350047E−16 
                 9.3509927E−12 
                 0.0000000E+00 
               
               
                 A12 
                 −7.5312433E−18 
                 −2.1179592E−13 
                 0.0000000E+00 
               
               
                 A13 
                 −1.7597701E−18 
                 3.5736699E−15 
                 0.0000000E+00 
               
               
                 A14 
                 −2.6076418E−20 
                 −5.4826353E−19 
                 0.0000000E+00 
               
               
                 A15 
                 −1.2760491E−21 
                 4.4435133E−18 
                 0.0000000E+00 
               
               
                 A16 
                 1.7839243E−22 
                 −1.1322893E−18 
                 0.0000000E+00 
               
               
                 A17 
                 0.0000000E+00 
                 0.0000000E+00 
               
               
                 A18 
                 0.0000000E+00 
                 0.0000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 4 
                 17 
                 18 
               
               
                   
               
               
                 KA 
                 −2.9301508E+00 
                 −1.4999997E+01 
                 −9.2436933E+00 
               
               
                 A3 
                 8.7436548E−04 
                 −1.9554632E−04 
                 −4.8849906E−04 
               
               
                 A4 
                 2.2674973E−04 
                 1.1658459E−04 
                 1.4274297E−04 
               
               
                 A5 
                 −8.5435837E−07 
                 −1.3930629E−05 
                 −5.7998387E−06 
               
               
                 A6 
                 3.2122825E−07 
                 1.5710087E−06 
                 −9.1208397E−07 
               
               
                 A7 
                 3.4207549E−08 
                 −3.7222216E−07 
                 1.2028741E−07 
               
               
                 A8 
                 2.3164699E−09 
                 5.2246701E−08 
                 −7.8678734E−09 
               
               
                 A9 
                 3.2838785E−10 
                 −3.5217221E−09 
                 5.1730820E−10 
               
               
                 A10 
                 4.5502038E−11 
                 6.2644007E−11 
                 −2.2754892E−11 
               
               
                 A11 
                 0.0000000E+00 
                 3.3491033E−12 
                 8.4938115E−14 
               
               
                 A12 
                 0.0000000E+00 
                 2.0883187E−13 
                 9.9028708E−16 
               
               
                 A13 
                 0.0000000E+00 
                 −4.7126750E−14 
                 1.8793747E−15 
               
               
                 A14 
                 0.0000000E+00 
                 2.3264908E−15 
                 −1.1902884E−16 
               
               
                 A15 
                 0.0000000E+00 
                 −4.3412297E−17 
                 3.0767507E−18 
               
               
                 A16 
                 0.0000000E+00 
                 4.7971008E−19 
                 1.5636569E−19 
               
               
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 10 will be described.  FIG. 10  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 10. The zoom lens of Example 10 has the same lens groups and has the same number of lenses as that of Example 9 except that the first lens group G 1  includes twelve lenses as lenses L 1   a  to L 1   l  and an optical member PP 1  such as a filter or a prism is further disposed in the first lens group G 1 . Table 37 shows lens data of the zoom lens of Example 10, Table 38 shows data about specification, Table 39 shows surface spacings which are variable during zooming, Table 40 shows data about aspheric coefficients thereof, and  FIG. 21  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 37 
               
             
            
               
                   
               
               
                 EXAMPLE 10 • LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                  1 
                 43.5493 
                 2.3077 
                 1.48749 
                 70.24 
               
               
                  2 
                 24.1070 
                 1.8717 
               
               
                  *3 
                 101.3646 
                 2.1978 
                 1.74320 
                 49.29 
               
               
                  *4 
                 10.7995 
                 9.9458 
               
               
                  *5 
                 357.4973 
                 1.3738 
                 1.80610 
                 40.88 
               
               
                  *6 
                 23.4037 
                 6.2835 
               
               
                  7 
                 −23.8538 
                 0.9143 
                 1.80610 
                 33.27 
               
               
                  8 
                 150.0660 
                 0.5495 
               
               
                  9 
                 ∞ 
                 17.5824 
                 1.56883 
                 56.04 
               
               
                  10 
                 ∞ 
                 0.2747 
               
               
                  11 
                 775.0687 
                 3.0934 
                 1.77250 
                 49.60 
               
               
                  12 
                 −32.7611 
                 0.2203 
               
               
                  13 
                 22.5698 
                 3.7803 
                 1.85150 
                 40.78 
               
               
                  14 
                 1455.2083 
                 10.1488 
               
               
                  15 
                 −30.0176 
                 0.6430 
                 1.89286 
                 20.36 
               
               
                  16 
                 −152.5180 
                 6.1958 
               
               
                  17 
                 −98.5244 
                 4.5702 
                 1.49700 
                 81.54 
               
               
                  18 
                 −10.8481 
                 0.0169 
               
               
                  19 
                 −10.8928 
                 0.8802 
                 1.85478 
                 24.80 
               
               
                  20 
                 −16.2185 
                 0.0165 
               
               
                  21 
                 39.2965 
                 6.1385 
                 1.49700 
                 81.54 
               
               
                  22 
                 −13.9443 
                 0.0160 
               
               
                  23 
                 −13.9005 
                 0.9716 
                 1.85478 
                 24.80 
               
               
                  24 
                 −49.1119 
                 12.9800 
               
               
                 *25 
                 −691.1619 
                 4.4427 
                 1.69350 
                 53.18 
               
               
                 *26 
                 −18.8279 
                 DD[26] 
               
               
                  27 
                 152.3088 
                 5.1721 
                 1.85478 
                 24.80 
               
               
                  28 
                 −52.1033 
                 DD[28] 
               
               
                  29 
                 83.1611 
                 0.8704 
                 1.48749 
                 70.24 
               
               
                  30 
                 51.7564 
                 1.6021 
               
               
                  31 
                 −46.4623 
                 0.9161 
                 1.85478 
                 24.80 
               
               
                  32 
                 −40.3936 
                 DD[32] 
               
               
                  33 
                 23.2382 
                 2.9106 
                 1.59522 
                 67.73 
               
               
                  34 
                 −491.4993 
                 3.8628 
               
               
                  35 
                 19.2688 
                 0.7994 
                 1.51742 
                 52.43 
               
               
                  36 
                 15.2182 
                 −2.7477 
               
               
                  37 (STOP) 
                 ∞ 
                 14.8108 
               
               
                  38 
                 −17.9318 
                 0.8558 
                 1.85478 
                 24.80 
               
               
                  39 
                 51.5347 
                 0.1436 
               
               
                  40 
                 64.2360 
                 3.3616 
                 1.49700 
                 81.54 
               
               
                  41 
                 −23.2884 
                 8.7646 
               
               
                  42 
                 95.0966 
                 4.8923 
                 1.49700 
                 81.54 
               
               
                  43 
                 −33.3077 
                 DD[43] 
               
               
                  44 
                 66.3144 
                 2.9233 
                 1.89286 
                 20.36 
               
               
                  45 
                 −295.6039 
                 11.9375 
               
               
                  46 
                 ∞ 
                 48.4615 
                 1.51680 
                 64.20 
               
               
                  47 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 38 
               
             
            
               
                   
               
               
                 EXAMPLE 10 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.2 
               
               
                   
                 f′ 
                 −4.35 
                 −4.79 
               
               
                   
                 FNo. 
                 2.50 
                 2.55 
               
               
                   
                 2ω [°] 
                 132.8 
                 128.6 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 39 
               
             
            
               
                   
               
               
                 EXAMPLE 10 • SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[26] 
                 25.5972 
                 27.3540 
               
               
                   
                 DD[28] 
                 59.0377 
                 57.2809 
               
               
                   
                 DD[32] 
                 4.8618 
                 0.4992 
               
               
                   
                 DD[43] 
                 0.2198 
                 4.5824 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 40 
               
               
                   
               
               
                 EXAMPLE 10 • ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 KA 
                 −1.5000007E+01 
                 −1.4576312E+00 
                 −5.4774318E−10 
               
               
                 A3 
                 1.7254107E−03 
                 2.7681213E−03 
                 −2.6324255E−04 
               
               
                 A4 
                 −4.2496988E−05 
                 −2.2037422E−04 
                 9.3099051E−05 
               
               
                 A5 
                 −5.9724591E−07 
                 7.6979219E−05 
                 9.4353221E−07 
               
               
                 A6 
                 4.1013120E−08 
                 −1.3217029E−05 
                 −6.0240420E−08 
               
               
                 A7 
                 1.9083180E−09 
                 1.5993612E−06 
                 −5.2572057E−09 
               
               
                 A8 
                 −8.6390332E−11 
                 −1.3905058E−07 
                 −1.9081954E−10 
               
               
                 A9 
                 1.2170722E−13 
                 8.5387731E−09 
                 −2.2090743E−11 
               
               
                 A10 
                 6.2887832E−14 
                 −3.8798505E−10 
                 1.8529468E−12 
               
               
                 A11 
                 1.6262859E−15 
                 1.2645098E−11 
                 0.0000000E+00 
               
               
                 A12 
                 1.3401484E−16 
                 −3.0163614E−13 
                 0.0000000E+00 
               
               
                 A13 
                 −7.9921787E−19 
                 5.3287852E−15 
                 0.0000000E+00 
               
               
                 A14 
                 1.2835855E−19 
                 1.8083257E−17 
                 0.0000000E+00 
               
               
                 A15 
                 −1.5477827E−20 
                 9.4744248E−18 
                 0.0000000E+00 
               
               
                 A16 
                 −1.0995934E−21 
                 −9.1053100E−19 
                 0.0000000E+00 
               
               
                 A17 
                 0.0000000E+00 
                 0.0000000E+00 
               
               
                 A18 
                 0.0000000E+00 
                 0.0000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 6 
                 25 
                 26 
               
               
                   
               
               
                 KA 
                 −6.5347449E+00 
                 −1.5000000E+01 
                 −3.0782784E+00 
               
               
                 A3 
                 −3.8578118E−04 
                 −3.6709915E−04 
                 −6.2508497E−04 
               
               
                 A4 
                 3.4010059E−04 
                 1.3792671E−04 
                 1.6556743E−04 
               
               
                 A5 
                 −8.1669472E−06 
                 −1.5029243E−05 
                 −6.5113565E−06 
               
               
                 A6 
                 6.3172104E−07 
                 1.8073384E−06 
                 −1.0569726E−06 
               
               
                 A7 
                 4.9565819E−08 
                 −4.4867499E−07 
                 1.4613018E−07 
               
               
                 A8 
                 −1.9603076E−09 
                 6.5012264E−08 
                 −9.5947743E−09 
               
               
                 A9 
                 −1.3817151E−10 
                 −4.4991912E−09 
                 6.6740226E−10 
               
               
                 A10 
                 9.1287309E−11 
                 8.2773681E−11 
                 −3.0506800E−11 
               
               
                 A11 
                 0.0000000E+00 
                 4.4581574E−12 
                 8.7982206E−14 
               
               
                 A12 
                 0.0000000E+00 
                 2.8743608E−13 
                 −1.5553915E−15 
               
               
                 A13 
                 0.0000000E+00 
                 −6.8116372E−14 
                 2.0846754E−15 
               
               
                 A14 
                 0.0000000E+00 
                 3.4193021E−15 
                 −1.9336142E−16 
               
               
                 A15 
                 0.0000000E+00 
                 −7.0320149E−17 
                 4.3416058E−18 
               
               
                 A16 
                 0.0000000E+00 
                 1.3984129E−18 
                 6.0257943E−19 
               
               
                   
               
            
           
         
       
     
     Next, a zoom lens of Example 11 will be described.  FIG. 11  is a cross-sectional diagram illustrating a configuration of the zoom lens of Example 11. The zoom lens of Example 11 has the same lens groups and has the same number of lenses as that of Example 10. Table 41 shows lens data of the zoom lens of Example 11, Table 42 shows data about specification, Table 43 shows surface spacings which are variable during zooming, Table 44 shows data about aspheric coefficients thereof, and  FIG. 22  shows aberration diagrams. 
     
       
         
           
               
             
               
                 TABLE 41 
               
             
            
               
                   
               
               
                 EXAMPLE 11 • LENS DATA (n AND ν ARE BASED ON d LINE) 
               
            
           
           
               
               
               
               
               
            
               
                 SURFACE 
                 RADIUS OF 
                 SURFACE 
                   
                   
               
               
                 NUMBER 
                 CURVATURE 
                 SPACING 
                 n 
                 ν 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                  1 
                 43.8581 
                 2.3077 
                 1.48749 
                 70.24 
               
               
                  2 
                 24.1068 
                 1.8638 
               
               
                  *3 
                 99.7929 
                 2.1978 
                 1.74320 
                 49.29 
               
               
                  *4 
                 10.8115 
                 9.9839 
               
               
                  *5 
                 312.1093 
                 1.3738 
                 1.80610 
                 40.88 
               
               
                  *6 
                 23.2178 
                 6.2608 
               
               
                  7 
                 −24.0318 
                 0.9157 
                 1.80610 
                 33.27 
               
               
                  8 
                 147.8776 
                 0.5495 
               
               
                  9 
                 ∞ 
                 17.5824 
                 1.56883 
                 56.04 
               
               
                  10 
                 ∞ 
                 0.2747 
               
               
                  11 
                 643.0312 
                 3.1011 
                 1.77250 
                 49.60 
               
               
                  12 
                 −32.7815 
                 0.2203 
               
               
                  13 
                 22.4774 
                 3.7403 
                 1.85150 
                 40.78 
               
               
                  14 
                 854.0630 
                 10.3939 
               
               
                  15 
                 −29.6332 
                 0.6429 
                 1.89286 
                 20.36 
               
               
                  16 
                 −154.5876 
                 5.9314 
               
               
                  17 
                 −110.0067 
                 4.6063 
                 1.49700 
                 81.54 
               
               
                  18 
                 −10.7828 
                 0.0169 
               
               
                  19 
                 −10.8267 
                 0.8801 
                 1.85478 
                 24.80 
               
               
                  20 
                 −16.1231 
                 0.0165 
               
               
                  21 
                 40.4879 
                 6.0849 
                 1.49700 
                 81.54 
               
               
                  22 
                 −13.8698 
                 0.0160 
               
               
                  23 
                 −13.8260 
                 0.9716 
                 1.85478 
                 24.80 
               
               
                  24 
                 −48.7780 
                 12.8896 
               
               
                 *25 
                 −339.5718 
                 4.1532 
                 1.69350 
                 53.18 
               
               
                 *26 
                 −18.9154 
                 DD[26] 
               
               
                  27 
                 133.8577 
                 5.2489 
                 1.85478 
                 24.80 
               
               
                  28 
                 −53.3777 
                 DD[28] 
               
               
                  29 
                 81.8394 
                 1.4114 
                 1.48749 
                 70.24 
               
               
                  30 
                 53.0999 
                 1.5397 
               
               
                  31 
                 −49.3236 
                 0.9294 
                 1.85478 
                 24.80 
               
               
                  32 
                 −41.9046 
                 DD[32] 
               
               
                  33 
                 23.2935 
                 2.8683 
                 1.59522 
                 67.73 
               
               
                  34 
                 −805.7511 
                 3.8628 
               
               
                  35 
                 19.1716 
                 0.8009 
                 1.51742 
                 52.43 
               
               
                  36 
                 15.0758 
                 −2.7477 
               
               
                  37 (STOP) 
                 ∞ 
                 15.1810 
               
               
                  38 
                 −17.9206 
                 0.8641 
                 1.85478 
                 24.80 
               
               
                  39 
                 54.8697 
                 0.1362 
               
               
                  40 
                 68.3061 
                 3.3992 
                 1.49700 
                 81.54 
               
               
                  41 
                 −23.1309 
                 8.4139 
               
               
                  42 
                 96.6197 
                 4.8727 
                 1.49700 
                 81.54 
               
               
                  43 
                 −33.1682 
                 DD[43] 
               
               
                  44 
                 69.3541 
                 2.9119 
                 1.89286 
                 20.36 
               
               
                  45 
                 −244.5488 
                 11.9381 
               
               
                  46 
                 ∞ 
                 48.4615 
                 1.51680 
                 64.20 
               
               
                  47 
                 ∞ 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 42 
               
             
            
               
                   
               
               
                 EXAMPLE 11 • SPECIFICATION (d LINE) 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 ZOOM RATIO 
                 1.0 
                 1.2 
               
               
                   
                 f′ 
                 −4.35 
                 −4.79 
               
               
                   
                 FNo. 
                 2.51 
                 2.56 
               
               
                   
                 2ω [°] 
                 132.8 
                 128.6 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 43 
               
             
            
               
                   
               
               
                 EXAMPLE 11 • SURFACE SPACING 
               
            
           
           
               
               
               
            
               
                   
                 WIDE-ANGLE END 
                 TELEPHOTO END 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 DD[26] 
                 24.5380 
                 26.2860 
               
               
                   
                 DD[28] 
                 60.0031 
                 58.2551 
               
               
                   
                 DD[32] 
                 4.8397 
                 0.5151 
               
               
                   
                 DD[43] 
                 0.2198 
                 4.5444 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 44 
               
               
                   
               
               
                 EXAMPLE 11 • ASPHERIC COEFFICIENT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 KA 
                 −1.5000007E+01 
                 −1.4622018E+00 
                 −5.4774318E−10 
               
               
                 A3 
                 1.7148403E−03 
                 2.7291174E−03 
                 −3.1301751E−04 
               
               
                 A4 
                 −4.1139523E−05 
                 −2.1553986E−04 
                 9.4372773E−05 
               
               
                 A5 
                 −6.3850074E−07 
                 7.6905221E−05 
                 9.4678795E−07 
               
               
                 A6 
                 4.0464547E−08 
                 −1.3217289E−05 
                 −5.9591795E−08 
               
               
                 A7 
                 1.9096290E−09 
                 1.5994046E−06 
                 −5.2569334E−09 
               
               
                 A8 
                 −8.6629022E−11 
                 −1.3905639E−07 
                 −1.8770136E−10 
               
               
                 A9 
                 9.6868845E−14 
                 8.5384690E−09 
                 −2.2129787E−11 
               
               
                 A10 
                 6.2280505E−14 
                 −3.8805536E−10 
                 1.8814765E−12 
               
               
                 A11 
                 1.8948633E−15 
                 1.2644991E−11 
                 0.0000000E+00 
               
               
                 A12 
                 1.3439249E−16 
                 −3.0250740E−13 
                 0.0000000E+00 
               
               
                 A13 
                 −7.0791591E−19 
                 5.2974366E−15 
                 0.0000000E+00 
               
               
                 A14 
                 1.3732924E−19 
                 1.9429898E−17 
                 0.0000000E+00 
               
               
                 A15 
                 −1.5703611E−20 
                 9.6659940E−18 
                 0.0000000E+00 
               
               
                 A16 
                 −1.1623215E−21 
                 −8.9401512E−19 
                 0.0000000E+00 
               
               
                 A17 
                 0.0000000E+00 
                 0.0000000E+00 
               
               
                 A18 
                 0.0000000E+00 
                 0.0000000E+00 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 SURFACE NUMBER 
               
            
           
           
               
               
               
               
            
               
                   
                 6 
                 25 
                 26 
               
               
                   
               
               
                 KA 
                 −6.7566765E+00 
                 −1.5000000E+01 
                 −3.0418931E+00 
               
               
                 A3 
                 −4.2516546E−04 
                 −3.6632389E−04 
                 −6.0239257E−04 
               
               
                 A4 
                 3.4341383E−04 
                 1.3903540E−04 
                 1.6062672E−04 
               
               
                 A5 
                 −8.7709643E−06 
                 −1.5127602E−05 
                 −6.2697747E−06 
               
               
                 A6 
                 6.4274946E−07 
                 1.8190844E−06 
                 −1.0489575E−06 
               
               
                 A7 
                 4.9948030E−08 
                 −4.4819984E−07 
                 1.4632565E−07 
               
               
                 A8 
                 −1.8960761E−09 
                 6.5019493E−08 
                 −9.5619825E−09 
               
               
                 A9 
                 −1.5087014E−10 
                 −4.4991447E−09 
                 6.6740885E−10 
               
               
                 A10 
                 8.8464869E−11 
                 8.2697800E−11 
                 −3.0560676E−11 
               
               
                 A11 
                 0.0000000E+00 
                 4.4572955E−12 
                 7.8188973E−14 
               
               
                 A12 
                 0.0000000E+00 
                 2.8767986E−13 
                 −2.4318354E−15 
               
               
                 A13 
                 0.0000000E+00 
                 −6.8102330E−14 
                 2.0393728E−15 
               
               
                 A14 
                 0.0000000E+00 
                 3.4187591E−15 
                 −1.8984228E−16 
               
               
                 A15 
                 0.0000000E+00 
                 −7.0543566E−17 
                 4.7701181E−18 
               
               
                 A16 
                 0.0000000E+00 
                 1.4069921E−18 
                 6.0103775E−19 
               
               
                   
               
            
           
         
       
     
     Table 45 shows values corresponding to the conditional expressions (1) to (5) of the zoom lenses of Examples 1 to 11. It should be noted that, in the above-mentioned examples, the d line is set as the reference wavelength, and the values shown in the following Table 45 are values at the reference wavelength. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 45 
               
               
                   
               
             
            
               
                 EXPRESSION 
                 CONDITIONAL 
                   
                   
                   
                   
                   
                   
               
               
                 NUMBER 
                 EXPRESSION 
                 EXAMPLE 1 
                 EXAMPLE 2 
                 EXAMPLE 3 
                 EXAMPLE 4 
                 EXAMPLE 5 
                 EXAMPLE 6 
               
               
                   
               
               
                 (1) 
                 fM/|fw| 
                 7.27 
                 7.80 
                 7.70 
                 8.03 
                 7.67 
                 12.24 
               
               
                 (2) 
                 Ymax/|exPw| 
                 0.03 
                 0.04 
                 0.03 
                 0.04 
                 0.04 
                 0.05 
               
               
                 (3) 
                 |fw|/fA 
                 0.135 
                 0.123 
                 0.126 
                 0.121 
                 0.123 
                 0.004 
               
               
                 (4) 
                 |fw|/fB 
                 0.100 
                 0.064 
                 0.125 
                 0.087 
                 0.096 
                 0.064 
               
               
                 (5) 
                 Bfw/|fw| 
                 4.16 
                 4.61 
                 4.23 
                 4.17 
                 4.17 
                 7.54 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 EXPRESSION 
                 CONDITIONAL 
                   
                   
                   
                   
                   
               
               
                 NUMBER 
                 EXPRESSION 
                 EXAMPLE 7 
                 EXAMPLE 8 
                 EXAMPLE 9 
                 EXAMPLE 10 
                 EXAMPLE 11 
               
               
                   
               
               
                 (1) 
                 fM/|fw| 
                 16.05 
                 15.31 
                 15.68 
                 13.99 
                 13.96 
               
               
                 (2) 
                 Ymax/|exPw| 
                 0.02 
                 0.02 
                 0.02 
                 0.02 
                 0.02 
               
               
                 (3) 
                 |fw|/fA 
                 0.049 
                 0.045 
                 0.061 
                 0.059 
                 0.058 
               
               
                 (4) 
                 |fw|/fB 
                 0.062 
                 0.062 
                 0.099 
                 0.095 
                 0.096 
               
               
                 (5) 
                 Bfw/|fw| 
                 8.01 
                 7.87 
                 10.12 
                 10.08 
                 10.08 
               
               
                   
               
            
           
         
       
     
     As can be seen from the above-mentioned data, each of the zoom lenses of Examples 1 to 11 is a zoom lens of the system that satisfies conditional expressions (1) to (5) and forms an intermediate image, and is a zoom lens that has an F number as bright as 2.6 or less, has a total angle of view as a wide angle of 115° or more, and has high performance by satisfactorily suppressing fluctuation in aberrations during zooming. 
     Next, a projection display device according to an embodiment of the present invention will be described.  FIG. 23  is a schematic configuration diagram of the projection display device according to the embodiment of the present invention. The projection display device  100  shown in  FIG. 23  has a zoom lens  10  according to the embodiment of the present invention, a light source  15 , transmissive display elements  11   a  to  11   c  as light valves corresponding to respective color light beams, dichroic mirrors  12  and  13  for color separation, a cross dichroic prism  14  for color synthesis, condenser lenses  16   a  to  16   c , and total reflection mirrors  18   a  to  18   c  for deflecting the optical path. In  FIG. 23 , the zoom lens  10  is schematically illustrated. Further, an integrator is disposed between the light source  15  and the dichroic mirror  12 , but illustration thereof is omitted in  FIG. 23 . 
     White light originating from the light source  15  is separated into rays with three colors (G light, B light, R light) through the dichroic mirrors  12  and  13 . Thereafter, the rays respectively pass through the condenser lenses  16   a  to  16   c , are incident into and modulated through the transmissive display elements  11   a  to  11   c  respectively corresponding to the rays with the respective colors, are subjected to color synthesis through the cross dichroic prism  14 , and are subsequently incident into the zoom lens  10 . The zoom lens  10  projects an optical image, which is formed by the light modulated through the transmissive display elements  11   a  to  11   c , onto a screen  105 . 
       FIG. 24  is a schematic configuration diagram of a projection display device according to another embodiment of the present invention. The projection display device  200  shown in  FIG. 24  has a zoom lens  210  according to the embodiment of the present invention, a light source  215 , DMD elements  21   a  to  21   c  as light valves corresponding to respective color light beams, total internal reflection (TIR) prisms  24   a  to  24   c  for color separation and color synthesis, and a polarization separating prism  25  that separates illumination light and projection light. In  FIG. 24 , the zoom lens  210  is schematically illustrated. Further, an integrator is disposed between the light source  215  and the polarization separating prism  25 , but illustration thereof is omitted in  FIG. 24 . 
     White light originating from the light source  215  is reflected on a reflective surface inside the polarization separating prism  25 , and is separated into rays with three colors (G light, B light, R light) through the TIR prisms  24   a  to  24   c . The separated rays with the respective colors are respectively incident into and modulated through the corresponding DMD elements  21   a  to  21   c , travel through the TIR prisms  24   a  to  24   c  again in a reverse direction, are subjected to color synthesis, are subsequently transmitted through the polarization separating prism  25 , and are incident into the zoom lens  210 . The zoom lens  210  projects an optical image, which is formed by the light modulated through the DMD elements  21   a  to  21   c , onto a screen  205 . 
       FIG. 25  is a schematic configuration diagram of a projection display device according to still another embodiment of the present invention. The projection display device  300  shown in  FIG. 25  has a zoom lens  310  according to the embodiment of the present invention, a light source  315 , reflective display elements  31   a  to  31   c  as light valves corresponding to respective color light beams, dichroic mirrors  32  and  33  for color separation, a cross dichroic prism  34  for color synthesis, a total reflection mirror  38  for deflecting the optical path, and polarization separating prisms  35   a  to  35   c . In  FIG. 25 , the zoom lens  310  is schematically illustrated. Further, an integrator is disposed between the light source  315  and the dichroic mirror  32 , but illustration thereof is omitted in  FIG. 25 . 
     White light originating from the light source  315  is separated into rays with three colors (G light, B light, R light) through the dichroic mirrors  32  and  33 . The separated rays with the respective colors respectively pass through the polarization separating prisms  35   a  to  35   c , are incident into and modulated through the reflective display elements  31   a  to  31   c  respectively corresponding to the rays with the respective colors, are subjected to color synthesis through the cross dichroic prism  34 , and are subsequently incident into the zoom lens  310 . The zoom lens  310  projects an optical image, which is formed by the light modulated through the reflective display elements  31   a  to  31   c , onto a screen  305 . 
       FIGS. 26 and 27  are external views of a camera  400  which is the imaging apparatus according to the embodiment of the present invention.  FIG. 26  is a perspective view of the camera  400  viewed from the front side, and  FIG. 27  is a perspective view of the camera  400  viewed from the rear side. The camera  400  is a single-lens digital camera on which an interchangeable lens  48  is detachably mounted and which has no reflex finder. The interchangeable lens  48  is configured such that a zoom lens  49  as the optical system according to the embodiment of the present invention is housed in a lens barrel. 
     The camera  400  comprises a camera body  41 , and a shutter button  42  and a power button  43  are provided on an upper surface of the camera body  41 . Further, operation sections  44  and  45  and a display section  46  are provided on a rear surface of the camera body  41 . The display section  46  is for displaying a captured image or an image within an angle of view before imaging. 
     An imaging aperture, through which light from an imaging target is incident, is provided at the center on the front surface of the camera body  41 . A mount  47  is provided at a position corresponding to the imaging aperture. The interchangeable lens  48  is mounted on the camera body  41  with the mount  47  interposed therebetween. 
     In the camera body  41 , there are provided an imaging element, a signal processing circuit, a recording medium, and the like. The imaging element (not shown) such as a charge coupled device (CCD) outputs a captured image signal based on a subject image which is formed through the interchangeable lens  48 . The signal processing circuit generates an image through processing of the captured image signal which is output from the imaging element. The recording medium records the generated image. The camera  400  captures a still image or a moving image by pressing the shutter button  42 , and records image data, which is obtained through imaging, in the recording medium. 
     The present invention has been hitherto described through embodiments and examples, but the zoom lens of the present invention is not limited to the above-mentioned embodiments and examples, and may be modified into various forms. For example, the radius of curvature, the surface spacing, the refractive index, and the Abbe number of each lens may be appropriately changed. 
     Further, the projection display device of the present invention is not limited to that of the above-mentioned configuration. For example, the used light valve and the optical member used in separation or synthesis of rays are not limited to those of the above-mentioned configuration, and may be modified into various forms. 
     Further, the imaging apparatus of the present invention is also not limited to the above-mentioned configurations. For example, the present invention may be applied to a single-lens reflex camera, a film camera, a video camera, and the like. 
     EXPLANATION OF REFERENCES 
     
         
         
           
               10 ,  210 ,  310 : zoom lens 
               11   a  to  11   c : transmissive display element 
               12 ,  13 ,  32 ,  33 : dichroic mirror 
               14 ,  34 : cross dichroic prism 
               15 ,  215 ,  315 : light source 
               16   a  to  16   c : condenser lens 
               18   a  to  18   c ,  38 : total reflection mirror 
               21   a  to  21   c : DMD element 
               24   a  to  24   c : TIR prism 
               25 ,  35   a  to  35   c : polarization separating prism 
               31   a  to  31   c : reflective display element 
               41 : camera body 
               42 : shutter button 
               43 : power button 
               44 ,  45 : operation section 
               46 : display section 
               47 : mount 
               48 : interchangeable lens 
               49 : zoom lens 
               100 ,  200 ,  300 : projection display device 
               105 ,  205 ,  305 : screen 
               400 : camera 
             G 1  to G 5 : lens group 
             L 1   a  to L 5   a : lens 
             PP, PP 1 , PP 2 : optical member 
             Sim: image display surface 
             St: aperture stop 
             wa: on-axis rays 
             wb: rays with maximum angle of view 
             Z: optical axis