Abstract:
A variable power finder is proposed, which comprises: an objective system; an inverting system; and an ocular system, in order from object side. The third lens group of the objective system is constituted by one lens prism having at least one reflection surface, and following expressions are satisfied:
 
 f   3   /fw ≧2.5  (1)
 
−1.0&lt;( R   32   +R   31 )/( R   32   −R   31 )&lt;1.0  (2)
 
 L   1   /fw   2 ≦0.45 1/mm  (3)
 
 L   2   /fw   2 ≧0.03 1/mm  (4)
 
where f 3  is a focal distance in millimeters (mm) of third lens group, fw is a focal in mm distance at wide angle end of objective system, R 31  is a curvature radius of object side lens surface of lens prism, R 32  is a curvature radius of image side lens surface of lens prism, L 1  is an air equivalent distance in mm from middle imaging surface to object side lens surface of lens prism, and L 2  is a distance in mm from middle imaging surface to image side lens surface of lens prism.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
   This application is a continuation of co-pending U.S. patent application Ser. No. 10/892,097, filed Jul. 16, 2004, the entire contents of which is hereby incorporated herein by reference. 

   BACKGROUND OF THE INVENTION 
   1. Field of the Invention 
   The present invention relates to a variable power finder, and more particularly to a variable power finder suitable for a digital camera or the like, which is small in size and has an excellent optical performance, and also to an imaging apparatus using the same. 
   2. Related Art 
   Conventionally, in a camera in which a photographing system and a finder system are separately configured, where the photographing system has a variable power function, the variable power function corresponding to the variation in an imaging angle of view is also configured in the finder system. As the above-mentioned finder system, real image type variable power finders, in which the visibility of a view frame is good and a predetermined variable power ratio is easily obtained, are variously proposed. 
   As the real image type variable power finder, those disclosed in Patent Document 1 and Patent Document 2 below are known. They are provided with a negative first lens group, a positive second lens group and a positive third lens group, as an objective optical system. They try to shorten the entire length by dividing an inverting optical system which converts an inverted image taken by the objective optical system into an erecting image and by displacing a part of reflection unit to a back focus unit of the objective optical system. 
   Also, in Patent Document 3, it is designed to further shorten the entire length by placing a third lens group on the incident surface of the inverting optical system. 
   [Patent Document 1] Japanese Patent Application Publication No. JP-A-Heisei 1-116616 
   [Patent Document 2] Japanese Patent Application Publication No. JP-A-Heisei, 4-194913 
   However, the trend toward compact models of the digital cameras in recent years has been progressed more than expected, and the further reduction in the entire length of the objective optical system is required. So, in order to attain the further miniaturization from the present situation, it is necessary to make the refractive force of each lens group stronger. However, it is very difficult to excellently compensate the various aberrations induced in the respective lens groups while maintaining the predetermined variable power ratio. 
   SUMMARY OF THE INVENTION 
   The present invention is proposed in order to solve the above-mentioned problems. That is, the present invention is provided with: an objective optical system having a positive refractive force; an inverting optical system for converting an inverted image taken by the objective optical system into an erecting image; and an ocular optical system having a positive refractive force to observe the erecting image obtained by the inverting optical system, arranged in the order from the object side. The objective optical system is composed of a negative first lens group, a positive second lens group and a positive third lens group. This is the variable power finder for displacing the second lens group onto an optical axis, performing the variable power and compensating the visibility change caused by the variable power performed through the displacement of the first lens group. The third lens group is constituted by one lens prism having at least one reflection surface. And, the following expressions (1) to (4) are satisfied.
 
 f   3 / fw≧ 2.5  (1)
 
−1.0&lt;( R   32 + R   31 )/( R   32 − R   31 )&lt;1.0  (2)
 
 L   1 / fw   2 ≦0.45 1/mm  (3)
 
 L   2 / fw   2 ≧0.03 1/mm  (4)
 
Here, f 3  in the above-mentioned expressions is a focal distance in millimeters (mm) of the third lens group, fw is a focal distance in mm at a wide angle end of the objective optical system, R 31  is a curvature radius of an object side lens surface of the lens prism, R 32  is a curvature radius of an image side lens surface of the lens prism, L 1  is an air equivalent distance in mm from a middle imaging surface to the object side lens surface of the lens prism, and L 2  is a distance in mm from the middle imaging surface to the image side lens surface of the lens prism.
 
   In the above-mentioned present invention, the expression (1) sets the ratio of the focal distance of the third lens group to the focal distance at the wide angle end of the objective optical system. The expression (2) defines the shape of the lens prism constituting the third lens group as the lens shape of both convexes. The expression (3) sets the ratio of the air equivalent distance to the object side lens surface of the lens prism from the middle imaging surface to the square of the focal distance at the wide angle end of the objective optical system. And, the expression (4) sets the ratio of the distance to the image side lens surface of the lens prism from the middle imaging surface to the square of the focal distance at the wide angle end of the objective optical system. By satisfying those expressions, it is possible to provide the variable power finder which is small in size and excellent in mass production and has the good optical performance. 
   The present invention can attain the real image type finder which is small in size, good in optical performance, rid of visible dust, suitable for mass production, and high in variable power. It is possible to miniaturize the imaging apparatus, such as a digital still camera or the like, to make the performance high and to make its cost down. 
   The variable power finder of the present invention can be installed in the body of and applied to the imaging apparatus, such as a digital still camera, a digital video camera or the like. 

   
     BRIEF EXPLANATION OF THE DRAWINGS 
       FIG. 1  is a schematic perspective view explaining a variable power finder according to a first embodiment of the arrangement. 
       FIG. 2  is a schematic perspective view explaining a variable power finder according to a second embodiment of the arrangement. 
       FIG. 3A to 3C  are configuration views of an optical system corresponding to Example 1. 
       FIG. 4A to 4C  are aberration views corresponding to a wide angle end (WIDE) of Example 1. 
       FIG. 5A to 5C  are aberration views corresponding to a middle (MID) of Example 1. 
       FIG. 6A to 6C  are aberration views corresponding to a telescopic end (TELE) of Example 1. 
       FIG. 7A to 7C  are configuration views of an optical system corresponding to Example 2. 
       FIG. 8A to 8C  are aberration views corresponding to a wide angle end (WIDE) of Example 2. 
       FIG. 9A to 9C  are aberration views corresponding to a middle (MID) of Example 2. 
       FIG. 10A to 10C  are aberration views corresponding to a telescopic end (TELE) of Example 2. 
       FIG. 11A to 11C  are configuration views of an optical system corresponding to Example 3. 
       FIG. 12A to 12C  are aberration views corresponding to a wide angle end (WIDE) of Example 3. 
       FIG. 13A to 13C  are aberration views corresponding to a middle (MID) of Example 3. 
       FIG. 14A to 14C  are aberration view corresponding to a telescopic end (TELE) of Example 3. 
       FIG. 15A to 15C  are configuration views of an optical system corresponding to Example 4. 
       FIG. 16A to 16C  are aberration views corresponding to a wide angle end (WIDE) of Example 4. 
       FIG. 17A to 17C  are aberration views corresponding to a middle (MID) of Example 4. 
       FIG. 18A to 18C  are aberration views corresponding to a telescopic end (TELE) of Example 4. 
   

   DESCRIPTION OF THE PREFERRED EMBODIMENTS 
   Embodiments and examples of the present invention will be described below with reference to the drawings.  FIG. 1  is a schematic perspective view explaining a variable power finder according to a first embodiment of the arrangement, and  FIG. 2  is a schematic perspective view explaining a variable power finder according to a second embodiment of the arrangement. 
   The variable power finders according to these embodiments are provided with: an objective optical system  1  having a positive refractive force; an inverting optical system  2  for converting an inverted image taken by the objective optical system  1  into an erecting image; and an ocular optical system  3  having a positive refractive force to observe the erecting image obtained by the inverting optical system, in the order from the object side. 
   Among them, the objective optical system  1  is composed of a negative first lens group G 1  constituted by one concave lens, a positive second lens group G 2  constituted by one convex lens and a positive third lens group G 3  constituted by one convex lens. The variable power is carried out by displacing the second lens group G 2  from a pupil side to an object side, and compensates the visibility change in the finder caused by the that by displacing the first lens group G 1  so that the convex locus is drawn onto the pupil side. By the way, the third lens group G 3  is fixed when the variable power is carried out. 
   Also, the third lens group G 3  is constituted by a lens prism P 1  having two reflection surfaces, and this is designed to shorten the entire length of the variable power finder. In the first embodiment shown in  FIG. 1 , the lens prism P 1  of the third lens group G 3  is used to reflect an image to a vertical direction, and a prism P 2  is then used to reflect the image to a horizontal direction. On the other hand, in the second embodiment shown in  FIG. 2 , the lens prism P 1  of the third lens group G 3  is used to reflect the image to the horizontal direction, and the prism P 2  is then used to reflect the image to the vertical direction. 
   In these embodiments, the third lens group G 3  in this objective optical system is designed so as to satisfy the following expressions (1) to (4). Consequently, it enables to attain the real image type of the variable power finder which is excellent in the mass production while having the small size and excellent optical performance.
 
 f   3 / fw≧ 2.5  (1)
 
−1.0&lt;( R   32 + R   31 )/( R   32 − R   31 )&lt;1.0  (2)
 
 L   1 / fw   2 ≦0.45 1/mm  (3)
 
 L   2 / fw   2 ≧0.03 1/mm  (4)
 
   Here, f 3  is a focal distance in mm of the third lens group G 3 , fw is a focal distance in mm at a wide angle end of the objective optical system  1 , R 31  is a curvature radius of a object side lens surface of the lens prism P 1 , R 32  is a curvature radius of an image side lens surface of the lens prism P 1 , L 1  is an air equivalent distance in mm from a middle imaging surface to the object side lens surface of the lens prism P 1 , and L 2  is a distance in mm from the middle imaging surface to the image side lens surface of the lens prism P 1 . 
   Also, in these embodiments, the lens prism P 1  of the third lens group G 3  is designed such that an image side lens surface r 6  is at least constituted by the aspherical surface whose curvature is reduced as it gets away from the optical axis, and the second lens group G 2  of the objective optical system  1  is designed to satisfy the following expression (5).
 
β 2   t /β 2   w ≧2.5  (5)
 
   In the expression (5), β 2 w is a lateral magnification at the wide angle end of the second lens group G 2 , and β 2 t is a lateral magnification at the telescopic end of the second lens group G 2 . 
   Here, among the above-mentioned expressions, the expression (1) sets the ratio of the focal distance of the third lens group G 3  to the focal distance at the wide angle end of the objective optical system  1 , and limits the refractive force of the third lens group G 3 . If it is less than the lower limit of this expression (1), the refractive force of the second lens group G 2  which is responsible for the variable power is reduced. For this reason, in order to obtain the necessary variable power ratio, the displacement of the second lens group G 2  becomes great, which makes the entire length long. At the same time, the spherical aberration on the under side generated in the third lens group G 3  becomes great, which makes the optical performance poor. Thus, the satisfaction with this expression (1) enables the attainments of the miniaturization of the entire length of the variable power finder and the improvement of the optical property. 
   Also, the expression (2) defines the shape of the lens prism P 1  constituting the third lens group G 3  as the lens shape of both convexes, and mainly limits the generation amount of off-axis aberration. The satisfaction with this expression (2) enables the compensation for the off-axis aberration, especially, image surface distortion and distortion aberration. 
   Also, the expression (3) sets the ratio of the air equivalent distance from the middle imaging surface to the object side lens surface r 6  of the lens prism P 1  to the square of the focal distance at the wide angle end of the objective optical system  1 . The satisfaction with this expression (3) can suppress an optical path length from being excessively long and attain the miniaturization. 
   Also, the expression (4) sets the ratio of the distance from the middle imaging surface to the image side lens surface r 6  of the lens prism P 1  to the square of the focal distance at the wide angle end of the objective optical system  1 . If this value goes down to the lower limit of this expression (4), the eyes will focus on the dust which is attached on the image side lens surface r 6  of the lens prism P 1 . Consequently, the yield of manufacturing is made poor. Thus, if this expression (4) is satisfied, it is possible to attain the variable power finder which is suitable for the mass production. 
   Moreover, in this embodiment, the lens prism P 1  of the third lens group G 3  is designed such that the image side lens surface r 6  is at least constituted by the aspherical surface whose curvature is reduced as it gets away from the optical axis. In short, the image side lens surface r 6  in which light flux is made narrow is constituted by the aspherical surface so that the distortion aberration is mainly compensated. Also, in this configuration, since the sensibility to the surface eccentricity of the image side lens surface r 6  is low, the manufacturing allowance can be relaxed, thereby attaining the improvement in the mass productivity. 
   Also, the expression (5) sets the ratio of the lateral magnification between the wide angle end and telescopic end of the second lens group G 2 . The satisfaction with this expression (5) can provide the real image type variable power finder having high variable power. 
   EXAMPLE 1 
   Examples 1 to 4 below will be described referring to the values according to the present invention. In the respective examples, the meanings of the symbols are as follows.
         2ω: entire image angle of view in diagonal   Si: the i-th surface counted from object side   Ri: curvature radius of the above i-th surface Si   di: distance between the i-th surface and the (i+1)-th surface from object side   ni: refractive index in d-line (wavelength 587.6nm) of the i-th lens   νi: the Abbe′ number of the i-th lens   *: surface where aspherical surface is used       

   Also, the aspherical shape is defined by the following equation 1, where the depth of the aspherical surface is assumed to be X, and the height from the optical axis is assumed to be H. In the equation 1, A, B, C, and D are the fourth, sixth, eighth and tenth aspherical coefficients, respectively. 
             X   =           H   2     R       1   +       1   -       (     H   R     )     2             +     AH   4     +     BH   6     +     CH   8     +     DH   10               Equation   ⁢           ⁢   1             
 
     FIG. 3A to 3C  are optical system configuration views of a variable power finder according to Example 1.  FIG. 4A to 4C  are aberration views corresponding to the wide angle end (WIDE) of the variable power finder according to the example 1.  FIG. 5A to 5C  are aberration views corresponding to the middle (MID) of the variable power finder according to Example 1. And,  FIG. 6A to 6C  are aberration views corresponding to the telescopic end (TELE) of the variable power finder according to Example 1. Here in Example 1, the configuration of the variable power finder is arranged according to the first embodiment of the arrangement shown in  FIG. 1 . 
   Also, Table 1 is the data indicating the configuration of the optical system according to Example 1. Table 2 is the data indicating the aspherical coefficients according to Example 1. Table 3 is the data indicating the change in the distance between the groups caused by the variable power according to Example 1. And, Table 4 is the data indicating the values of the expressions (1) to (5) according to Example 1. 
   
     
       
             
           
             
             
             
             
             
             
           
             
             
             
             
             
             
           
         
             
               TABLE 1 
             
           
           
             
                 
             
             
               2ω = 51.89° to 18.27° 
             
           
        
         
             
                 
               Si 
               Ri 
               di (mm) 
               ni 
               νi 
             
             
                 
                 
             
           
        
         
             
                 
                1* 
               −33.839 
               0.80 
               1.5826 
               29.0 
             
             
                 
                2* 
               11.598 
               D2 
             
             
                 
                3* 
               9.425 
               1.85 
               1.492 
               57.4 
             
             
                 
                4* 
               −11.553 
               D4 
             
             
                 
                5 
               13.500 
               11.5 
               1.5247 
               56.2 
             
             
                 
                6* 
               −17.436 
               2.00 
             
             
                 
                7 
               middle imaging surface 
               2.00 
             
             
                 
                8 
               ∞ 
               16.00 
               1.5247 
               56.2 
             
             
                 
                9 
               −15.180 
               7.00 
             
             
                 
               10* 
               18.476 
               2.00 
               1.492 
               57.4 
             
             
                 
               11* 
               −65.537 
               16.00 
             
             
                 
               12 
               eye point 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
         
             
               TABLE 2 
             
             
                 
             
             
               Si 
               A 
               B 
               C 
               D 
             
             
                 
             
           
           
             
                1* 
               −3.32E−04 
                 5.50E−05 
               −5.89E−06 
                 2.67E−07 
             
             
                2* 
               −1.22E−03 
                 3.08E−04 
               −4.99E−05 
                 2.93E−06 
             
             
                3* 
               −1.07E−03 
                 2.27E−04 
               −3.48E−05 
                 1.61E−06 
             
             
                4* 
               −4.12E−04 
                 1.89E−04 
               −2.93E−05 
                 1.33E−06 
             
             
                6* 
                 5.42E−03 
               −1.51E−03 
                 2.42E−04 
               −1.39E−05 
             
             
               10* 
                 2.04E−04 
               −2.25E−05 
                 1.97E−06 
               −4.80E−08 
             
             
               11* 
                 3.50E−04 
               −3.87E−05 
                 3.20E−06 
               −8.05E−08 
             
             
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
             
             
             
             
             
           
         
             
                 
               TABLE 3 
             
             
                 
                 
             
             
                 
               di 
               WIDE 
               MID 
               TELE 
             
             
                 
                 
             
           
           
             
                 
             
           
        
         
             
                 
               D2 
               13.18 
               6.19 
               1.99 
             
             
                 
               D4 
               0.50 
               4.83 
               11.95 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
           
             
             
             
           
         
             
               TABLE 4 
             
             
                 
             
             
               EXPRESSION 
               VALUE 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
               (1) 
               f3/fw 
               3.23 
             
             
               (2) 
               (R32 + R31)/(R32 − R31) 
               0.13 
             
             
               (3) 
               L1/fw{circumflex over ( )}2 
               0.36 
             
             
                 
                 
               l/mm 
             
             
               (4) 
               L2/fw{circumflex over ( )}2 
               0.076 
             
             
                 
                 
               l/mm 
             
             
               (5) 
               β2t/β2w 
               2.7 
             
             
                 
             
           
        
       
     
   
   EXAMPLE 2 
     FIG. 7A to 7C  are optical system configuration views of a variable power finder according to Example 2.  FIG. 8A to 8C  are aberration views corresponding to the wide angle end  15  (WIDE) of the variable power finder according to Example 2.  FIG. 9A to 9C  are aberration views corresponding to the middle (MID) of the variable power finder according to Example 2. And,  FIG. 10A to 10C  are aberration views corresponding to the telescopic end (TELE) of the variable power finder according to Example 2. 
   Here in Example 2, the configuration of the variable power finder is arranged according to the first embodiment of the arrangement shown in  FIG. 1 . 
   Also, Table 5 is the data indicating the configuration of the optical system according to Example 2. Table 6 is the data indicating the aspherical coefficients according to Example 2. Table 7 is the data indicating the change in the distance between the groups caused by the variable power according to Example 2. And, Table 8 is the data indicating the values of the expressions (1) to (5) according to Example 2. 
   
     
       
             
           
             
             
             
             
             
             
           
             
             
             
             
             
             
           
         
             
               TABLE 5 
             
           
           
             
                 
             
             
               2ω = 51.40° to 18.23° 
             
           
        
         
             
                 
               Si 
               Ri 
               di (mm) 
               ni 
               νi 
             
             
                 
                 
             
           
        
         
             
                 
                1* 
               −73.532 
               0.8 
               1.492 
               57.4 
             
             
                 
                2* 
               8.044 
               D2 
             
             
                 
                3* 
               8.911 
               1.85 
               1.492 
               57.4 
             
             
                 
                4* 
               −12.288 
               D4 
             
             
                 
                5 
               13.7 
               11.50 
               1.5247 
               56.2 
             
             
                 
                6* 
               −17.541 
               2.00 
             
             
                 
                7 
               middle imaging surface 
               2.00 
             
             
                 
                8 
               ∞ 
               16.00 
               1.5247 
               56.2 
             
             
                 
                9 
               −15.18 
               7.00 
             
             
                 
               10* 
               18.295 
               2.00 
               1.492 
               57.4 
             
             
                 
               11* 
               −69.939 
               16.00 
             
             
                 
               12 
               eye point 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
         
             
               TABLE 6 
             
             
                 
             
             
               Si 
               A 
               B 
               C 
               D 
             
             
                 
             
           
           
             
                1* 
               −1.23E−03 
                 1.31E−05 
                 8.98E−06 
               −6.05E−07 
             
             
                2* 
               −2.48E−03 
                 2.67E−04 
               −3.01E−05 
                 1.54E−06 
             
             
                3* 
               −1.10E−03 
                 2.46E−04 
               −3.25E−05 
                 1.37E−06 
             
             
                4* 
               −4.13E−04 
                 2.09E−04 
               −2.76E−05 
                 1.15E−06 
             
             
                6* 
                 4.97E−03 
               −1.22E−03 
                 1.86E−04 
               −1.04E−05 
             
             
               10* 
                 2.02E−04 
               −2.28E−05 
                 1.92E−06 
               −4.65E−08 
             
             
               11* 
                 3.51E−04 
               −4.01E−05 
                 3.25E−06 
               −8.18E−08 
             
             
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
             
             
             
             
             
           
         
             
                 
               TABLE 7 
             
             
                 
                 
             
             
                 
               di 
               WIDE 
               MID 
               TELE 
             
             
                 
                 
             
           
           
             
                 
             
           
        
         
             
                 
               D2 
               13.16 
               6.26 
               2.09 
             
             
                 
               D4 
               0.50 
               4.74 
               11.64 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
           
             
             
             
           
         
             
               TABLE 8 
             
             
                 
             
             
               EXPRESSION 
               VALUE 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
               (1) 
               f3/fw 
               3.24 
             
             
               (2) 
               (R32 + R31)/(R32 − R31) 
               0.12 
             
             
               (3) 
               L1/fw{circumflex over ( )}2 
               0.36 
             
             
                 
                 
               l/mm 
             
             
               (4) 
               L2/fw{circumflex over ( )}2 
               0.075 
             
             
                 
                 
               l/mm 
             
             
               (5) 
               β2t/β2w 
               2.7 
             
             
                 
             
           
        
       
     
   
   EXAMPLE 3 
     FIG. 11A to 11C  are optical system configuration views of a variable power finder according to Example 3.  FIG. 12A to 12C  are aberration views corresponding to the wide angle end (WIDE) of the variable power finder according to Example 3.  FIG. 13A to 13C  are aberration views corresponding to the middle (MID) of the variable power finder according to Example 3. And,  FIG. 14A to 14C  are aberration views corresponding to the telescopic end (TELE) of the variable power finder according to Example 3. Here in Example 3, the configuration of the variable power finder is arranged according to the second embodiment of the arrangement shown in  FIG. 2 . 
   Also, Table 9 is the data indicating the configuration of the optical system according to Example 3. Table 10 is the data indicating the aspherical coefficients according to Example 3. Table 11 is the data indicating the change in distance between the groups caused by the variable power according to Example 3. And, Table 12 is the data indicating the values of the expressions (1) to (5) according to Example 3. 
   
     
       
             
           
             
             
             
             
             
             
           
             
             
             
             
             
             
           
         
             
               TABLE 9 
             
           
           
             
                 
             
             
               2ω = 51.52° to 18.25° 
             
           
        
         
             
                 
               Si 
               Ri 
               di (mm) 
               ni 
               νi 
             
             
                 
                 
             
           
        
         
             
                 
                1* 
               −17.319 
               0.80 
               1.5826 
               29.0 
             
             
                 
                2* 
               14.098 
               D2 
             
             
                 
                3* 
               9.595 
               2.00 
               1.4920 
               57.4 
             
             
                 
                4* 
               −9.804 
               D4 
             
             
                 
                5 
               32.6 
               14.50 
               1.5247 
               56.2 
             
             
                 
                6* 
               −9.168 
               2.00 
             
             
                 
                7 
               middle imaging surface 
               2.00 
             
             
                 
                8 
               ∞ 
               16.00 
               1.5247 
               56.2 
             
             
                 
                9 
               −25.66 
               7.00 
             
             
                 
               10* 
               16.984 
               2.00 
               1.4920 
               57.4 
             
             
                 
               11* 
               −38.851 
               16.00 
             
             
                 
               12 
               eye point 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
         
             
               TABLE 10 
             
             
                 
             
             
               Si 
               A 
               B 
               C 
               D 
             
             
                 
             
           
           
             
                1* 
                 3.97E−04 
               −1.40E−04 
                 2.41E−05 
               −1.27E−06 
             
             
                2* 
               −3.56E−04 
                 1.14E−05 
                 3.52E−06 
               −2.01E−07 
             
             
                3* 
               −5.07E−04 
                 4.46E−05 
               −1.09E−05 
                 6.01E−07 
             
             
                4* 
                 2.10E−04 
                 3.05E−05 
               −9.18E−06 
                 4.97E−07 
             
             
                6* 
                 2.95E−03 
               −4.43E−04 
                 5.92E−05 
               −2.83E−06 
             
             
               10* 
                 1.92E−04 
               −1.76E−05 
                 1.77E−06 
               −4.04E−08 
             
             
               11* 
                 3.53E−04 
               −3.21E−05 
                 2.87E−06 
               −6.83E−08 
             
             
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
             
             
             
             
             
           
         
             
                 
               TABLE 11 
             
             
                 
                 
             
             
                 
               di 
               WIDE 
               MID 
               TELE 
             
             
                 
                 
             
           
           
             
                 
             
           
        
         
             
                 
               D2 
               12.85 
               6.32 
               2.32 
             
             
                 
               D4 
               0.50 
               4.47 
               11.04 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
           
             
             
             
           
         
             
               TABLE 12 
             
             
                 
             
             
               EXPRESSION 
               VALUE 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
               (1) 
               f3/fw 
               2.77 
             
             
               (2) 
               (R32 + R31)/(R32 − R31) 
               −0.56 
             
             
               (3) 
               L1/fw{circumflex over ( )}2 
               0.37 
             
             
                 
                 
               l/mm 
             
             
               (4) 
               L2/fw{circumflex over ( )}2 
               0.064 
             
             
                 
                 
               l/mm 
             
             
               (5) 
               β2t/2wβ 
               2.7 
             
             
                 
             
           
        
       
     
   
   EXAMPLE 4 
     FIG. 15A to 15C  are optical system configuration views of a variable power finder according to Example 4.  FIG. 16A to 16C  are aberration views corresponding to the wide angle end (WIDE) of the variable power finder according to Example 4.  FIG. 17A to 17C  are aberration views corresponding to the middle (MID) of the variable power finder according to Example 4. And,  FIG. 18A to 18C  are aberration views corresponding to the telescopic end (TELE) of the variable power finder according to Example 4. Here in Example 4, the configuration of the variable power finder is arranged according to the second embodiment of the arrangement shown in  FIG. 2 . 
   Also, Table 13 is the data indicating the configuration of the optical system according to Example 4. Table 14 is the data indicating the aspherical coefficients according to Example 4. Table 15 is the data indicating the change in the distance between the groups caused by the variable power according to Example 4. And, Table 16 is the data indicating the values of the expressions (1) to (5) according to Example 4. 
   
     
       
             
           
             
             
             
             
             
             
           
             
             
             
             
             
             
           
         
             
               TABLE 13 
             
           
           
             
                 
             
             
               2ω = 51.47° to 18.20° 
             
           
        
         
             
                 
               Si 
               Ri 
               di (mm) 
               ni 
               νi 
             
             
                 
                 
             
           
        
         
             
                 
                1* 
               −12.3 
               0.80 
               1.4920 
               57.4 
             
             
                 
                2* 
               14 
               D2 
             
             
                 
                3* 
               9.612 
               2.00 
               1.4920 
               57.4 
             
             
                 
                4* 
               −9.2 
               D4 
             
             
                 
               5 
               34.58 
               14.50 
               1.5247 
               56.2 
             
             
                 
                6* 
               −8.673 
               2.00 
             
             
                 
               7 
               middle imaging surface 
               2.00 
             
             
                 
               8 
               ∞ 
               16.00 
               1.5247 
               56.2 
             
             
                 
               9 
               −24.1 
               7.00 
             
             
                 
               10* 
               18.026 
               2.00 
               1.4920 
               57.4 
             
             
                 
               11* 
               −37.078 
               16.00 
             
             
                 
               12  
               eye point 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
             
             
             
             
             
           
         
             
               TABLE 14 
             
             
                 
             
             
               Si 
               A 
               B 
               C 
               D 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
                1* 
               4.38E−04 
               −8.35E−05 
               2.31E−05 
               −1.55E−06 
             
             
                2* 
               −3.95E−04 
               5.67E−05 
               5.26E−06 
               −6.52E−07 
             
             
                3* 
               −5.12E−04 
               7.05E−06 
               −8.25E−06 
               5.05E−07 
             
             
                4* 
               2.21E−04 
               1.35E−05 
               −9.33E−06 
               5.12E−07 
             
             
                6* 
               1.21E−03 
               1.50E−04 
               −1.22E−05 
               2.08E−07 
             
             
               10* 
               2.12E−04 
               −2.08E−05 
               1.66E−06 
               −3.10E−08 
             
             
               11* 
               3.67E−04 
               −3.57E−05 
               2.74E−06 
               −5.64E−08 
             
             
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
             
             
             
             
             
           
         
             
                 
               TABLE 15 
             
             
                 
                 
             
             
                 
               di 
               WIDE 
               MID 
               TELE 
             
             
                 
                 
             
           
           
             
                 
             
           
        
         
             
                 
               D2 
               11.84 
               5.60 
               1.74 
             
             
                 
               D4 
               0.50 
               4.33 
               10.69 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
           
             
             
             
           
         
             
               TABLE 16 
             
             
                 
             
             
               EXPRESSION 
               VALUE 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
               (1) 
               f3/fw 
               2.61 
             
             
               (2) 
               (R32 + R31)/(R32 − R31) 
               −0.6 
             
             
               (3) 
               L1/fw{circumflex over ( )}2 
               0.35 
             
             
                 
                 
               l/mm 
             
             
               (4) 
               L2/fw{circumflex over ( )}2 
               0.061 
             
             
                 
                 
               l/mm 
             
             
               (5) 
               β2t/β2w 
               2.7