Patent Publication Number: US-10310217-B1

Title: Camera optical lens

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application claims the priority benefit of Chinese Patent Applications Ser. No. 201711483104.2 and Ser. No. 201711476056.4 filed on Dec. 29, 2017, the entire content of which is incorporated herein by reference. 
     FIELD OF THE PRESENT DISCLOSURE 
     The present disclosure relates to optical lens, in particular to a camera optical lens suitable for handheld devices such as smart phones and digital cameras and imaging devices. 
     DESCRIPTION OF RELATED ART 
     With the emergence of smart phones in recent years, the demand for miniature camera lens is increasing day by day, but the photosensitive devices of general camera lens are no other than Charge Coupled Device (CCD) or Complementary metal-Oxide Semiconductor Sensor (CMOS sensor), and as the progress of the semiconductor manufacturing technology makes the pixel size of the photosensitive devices shrink, coupled with the current development trend of electronic products being that their functions should be better and their shape should be thin and small, miniature camera lens with good imaging quality therefor has become a mainstream in the market. In order to obtain better imaging quality, the lens that is traditionally equipped in mobile phone cameras adopts a three-piece or four-piece lens structure. And, with the development of technology and the increase of the diverse demands of users, and under this circumstances that the pixel area of photosensitive devices is shrinking steadily and the requirement of the system for the imaging quality is improving constantly, the five-piece, six-piece and seven-piece lens structure gradually appear in lens design. There is an urgent need for ultra-thin wide-angle camera lenses which have good optical characteristics and the chromatic aberration of which is fully corrected. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       Many aspects of the exemplary embodiments can be better understood with reference to the following drawings. The components in the drawing are not necessarily drawn to scale, the emphasis instead being placed upon clearly illustrating the principles of the present disclosure. 
         FIG. 1  is a schematic diagram of a camera optical lens in accordance with a first embodiment of the present invention; 
         FIG. 2  shows the longitudinal aberration of the camera optical lens shown in  FIG. 1 ; 
         FIG. 3  shows the lateral color of the camera optical lens shown in  FIG. 1 ; 
         FIG. 4  presents a schematic diagram of the field curvature and distortion of the camera optical lens shown in  FIG. 1 ; 
         FIG. 5  is a schematic diagram of a camera optical lens in accordance with a second embodiment of the present invention; 
         FIG. 6  presents the longitudinal aberration of the camera optical lens shown in  FIG. 5 ; 
         FIG. 7  presents the lateral color of the camera optical lens shown in  FIG. 5 ; 
         FIG. 8  presents the field curvature and distortion of the camera optical lens shown in  FIG. 5 ; 
         FIG. 9  is a schematic diagram of a camera optical lens in accordance with a third embodiment of the present invention; 
         FIG. 10  presents the longitudinal aberration of the camera optical lens shown in  FIG. 9 ; 
         FIG. 11  presents the lateral color of the camera optical lens shown in  FIG. 9 ; 
         FIG. 12  presents the field curvature and distortion of the camera optical lens shown in  FIG. 9 . 
     
    
    
     DETAILED DESCRIPTION OF THE EXEMPLARY EMBODIMENTS 
     The present disclosure will hereinafter be described in detail with reference to several exemplary embodiments. To make the technical problems to be solved, technical solutions and beneficial effects of the present disclosure more apparent, the present disclosure is described in further detail together with is the figure and the embodiments. It should be understood the specific embodiments described hereby is only to explain the disclosure, not intended to limit the disclosure. 
     Embodiment 1 
     As referring to  FIG. 1 , the present invention provides a camera optical lens  10 .  FIG. 1  shows the camera optical lens  10  of embodiment 1 of the present invention, the camera optical lens  10  comprises 6 lenses. Specifically, from the object side to the image side, the camera optical lens  10  comprises in sequence: an aperture S 1 , a first lens L 1 , a second lens L 2 , a third lens L 3 , a fourth lens L 4 , a fifth lens L 5 , and a sixth lens L 6 . Optical element like optical filter GF can be arranged between the sixth lens L 6  and the image surface S 1 . The first lens L 1  is made of plastic material, the second lens L 2  is made of plastic material, the third lens L 3  is made of glass material, the fourth lens L 4  is made of plastic material, the fifth lens L 5  is made of plastic material, and the sixth lens L 6  is made of glass material. 
     The second lens L 2  has a negative refractive power, and the third lens L 3  has a positive refractive power. 
     Here, the focal length of the whole camera optical lens  10  is defined as f, the focal length of the first lens is defined as f 1 . The camera optical lens further satisfies the following condition: 0.5≤f 1 /f≤10. Condition 0.5≤f 1 /f≤10 fixes the positive refractive power of the first lens L 1 . If the upper limit of the set value is exceeded, although it benefits the ultra-thin development of lenses, but the positive refractive power of the first lens L 1  will be too strong, problem like aberration is difficult to be corrected, and it is also unfavorable for wide-angle development of lens. On the contrary, if the lower limit of the set value is exceeded, the positive refractive power of the first lens L 1  becomes too weak, it is then difficult to develop ultra-thin lenses. Preferably, the following condition shall be satisfied, 0.63≤f 1 /f≤5.39. 
     The refractive power of the third lens L 3  is defined as n 3 . Here the following condition should satisfied: 1.7≤n 3 ≤2.2. This condition fixes the refractive power of the third lens L 3 , and refractive power within this range benefits the ultra-thin development of lenses, and it also benefits the correction of aberration. Preferably, the following condition shall be satisfied, 1.706≤n 3 ≤1.97. 
     The refractive power of the sixth lens L 6  is defined as n 6 . Here the following condition should satisfied: 1.7≤n 6 ≤2.2. This condition fixes the refractive power of the sixth lens L 6 , and refractive power within this range benefits the ultra-thin development of lenses, and it also benefits the correction of aberration. Preferably, the following condition shall be satisfied, 1.706≤n 6 ≤1.97. 
     The thickness on-axis of the second lens L 2  is defined as d 3 , and the total optical length of the camera optical lens  10  is defined as TTL. The following condition: 0.01≤d 3 /TTL≤0.2 should be satisfied. This condition fixes the ratio between the thickness on-axis of the second lens L 2  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.035≤d 3 /TTL≤0.13 shall be satisfied. 
     In this embodiment, the first lens L 1  has a positive refractive power with a convex object side surface relative to the proximal axis and a concave image side surface relative to the proximal axis. 
     The curvature radius of the object side surface of the first lens L 1  is defined as R 1 , the curvature radius of the image side surface of the first lens L 1  is defined as R 2 . The camera optical lens  10  further satisfies the following condition: −2.5≤(R 1 +R 2 )/(R 1 −R 2 )≤−0.83, which fixes the shape of the first lens L 1 . When the value is beyond this range, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the condition −1.56≤(R 1 +R 2 )/(R 1 −R 2 )≤−1.04 shall be satisfied. 
     The thickness on-axis of the first lens L 1  is defined as d 1 . The following condition: 0.28≤d 1 ≤0.86 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.45≤d 1 ≤0.68 shall be satisfied. 
     In this embodiment, the second lens L 2  has a convex object side surface and a concave image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the second lens L 2  is f 2 . The following condition should be satisfied: −3.33≤f 2 /f≤−1.10. When the condition is satisfied, the negative refractive power of the second lens L 2  is controlled within reasonable scope, the spherical aberration caused by the first lens L 1  which has positive refractive power and the field curvature of the system then can be reasonably and effectively balanced. Preferably, the condition −2.08≤f 2 /f≤−1.38 should be satisfied. 
     The curvature radius of the object side surface of the second lens L 2  is defined as R 3 , the curvature radius of the image side surface of the second lens L 2  is defined as R 4 . The following condition should be satisfied: 1.03≤(R 3 +R 4 )/(R 3 −R 4 )≤3.12, which fixes the shape of the second lens L 2  and can effectively correct aberration of the camera optical lens. Preferably, the following condition shall be satisfied, 1.65≤(R 3 +R 4 )/(R 3 −R 4 )≤2.49. 
     The thickness on-axis of the second lens L 2  is defined as d 3 . The following condition: 0.16≤d 3 ≤0.48 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.25≤d 3 ≤0.38 shall be satisfied. 
     In this embodiment, the third lens L 3  has a concave object side surface and convex image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the third lens L 3  is f 3 . The following condition should be satisfied: 1.38≤f 3 /f≤4.32, by which the field curvature of the system then can be reasonably and effectively balanced. Preferably, the condition 2.21≤f 3 /f≤3.46 should be satisfied. 
     The curvature radius of the object side surface of the third lens L 3  is defined as R 5 , the curvature radius of the image side surface of the third lens L 3  is defined as R 6 . The following condition should be satisfied: 0.85≤(R 5 +R 6 )/(R 5 −R 6 )≤2.64, by which, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, 1.36≤(R 5 +R 6 )/(R 5 −R 6 )≤2.12. 
     The thickness on-axis of the third lens L 3  is defined as d 5 . The following condition: 0.15≤d 5 ≤0.47 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.25≤d 5 ≤0.38 shall be satisfied. 
     In this embodiment, the fourth lens L 4  has a negative refractive power with a concave object side surface and a convex image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the fourth lens L 4  is f 4 . The following condition should be satisfied: −6.28≤f 4 /f≤−2.03, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition −3.93≤f 4 /f≤−2.54 should be satisfied. 
     The curvature radius of the object side surface of the fourth lens L 4  is defined as R 7 , the curvature radius of the image side surface of the fourth lens L 4  is defined as R 8 . The following condition should be satisfied: −4.25≤(R 7 +R 8 )/(R 7 −R 8 )≤−1.39, by which, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −2.65≤(R 7 +R 8 )/(R 7 −R 8 )≤−1.73. 
     The thickness on-axis of the fourth lens L 4  is defined as d 7 . The following condition: 0.22≤d 7 ≤0.68 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.35≤d 7 ≤0.54 shall be satisfied. 
     In this embodiment, the fifth lens L 5  has a positive refractive power with a convex object side surface and a convex image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the fifth lens L 5  is f 5 . The following condition should be satisfied: 0.49≤f 5 /f≤1.49, which can effectively smooth the light angles of the camera and reduce the tolerance sensitivity. Preferably, the condition 0.79≤f 5 /f≤1.19 should be satisfied. 
     The curvature radius of the object side surface of the fifth lens L 5  is defined as R 9 , the curvature radius of the image side surface of the fifth lens L 5  is defined as R 10 . The following condition should be satisfied: −1.29≤(R 9 +R 10 )/(R 9 −R 10 )≤−0.41 by which, the shape of the fifth lens L 5  is fixed, further, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −0.81≤(R 9 +R 10 )/(R 9 −R 10 )≤−0.52. 
     The thickness on-axis of the fifth lens L 5  is defined as d 9 . The following condition: 0.34≤d 9 ≤1.04 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.55≤d 9 ≤0.83 shall be satisfied. 
     In this embodiment, the sixth lens L 6  has a negative refractive power with a concave object side surface and a convex image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the sixth lens L 6  is f 6 . The following condition should be satisfied: −1.12≤f 6 /f≤−0.37, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition −0.7≤f 6 /f≤−0.46 should be satisfied. 
     The curvature radius of the object side surface of the sixth lens L 6  is defined as R 11 , the curvature radius of the image side surface of the sixth lens L 6  is defined as R 12 . The following condition should be satisfied: −3.18≤(R 11 +R 12 )/(R 11 −R 12 )≤−1.03, by which, the shape of the sixth lens L 6  is fixed, further, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −1.99≤(R 11 +R 12 )/(R 11 −R 12 )≤−1.29. 
     The thickness on-axis of the sixth lens L 6  is defined as d 11 . The following condition: 0.13≤d 11 ≤0.40 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.21≤d 11 ≤0.32 shall be satisfied. 
     The focal length of the whole camera optical lens  10  is f, the combined focal length of the first lens L 1  and the second lens L 2  is f 12 . The following condition should be satisfied: 0.6≤f 12 /f≤1.81, which can effectively avoid the aberration and field curvature of the camera optical lens, and can suppress the rear focal length for realizing the ultra-thin lens. Preferably, the condition 0.96≤f 12 /f≤1.45 should be satisfied. 
     In this embodiment, the total optical length TTL of the camera optical lens  10  is less than or equal to 5.62 mm, it is beneficial for the realization of ultra-thin lenses. Preferably, the total optical length TTL of the camera optical lens  10  is less than or equal to 5.37 mm. 
     In this embodiment, the aperture F number of the camera optical lens  10  is less than or equal to 2.27. A large aperture has better imaging performance. Preferably, the aperture F number of the camera optical lens  10  is less than or equal to 2.22. 
     With such design, the total optical length TTL of the whole camera optical lens  10  can be made as short as possible, thus the miniaturization characteristics can be maintained. 
     In the following, an example will be used to describe the camera optical lens  10  of the present invention. The symbols recorded in each example are as follows. The unit of distance, radius and center thickness is mm. 
     TTL: Optical length (the distance on-axis from the object side surface of the first lens L 1  to the image surface). 
     Preferably, inflexion points and/or arrest points can also be arranged on the object side surface and/or image side surface of the lens, so that the demand for high quality imaging can be satisfied, the description below can be referred for specific implementable scheme. 
     The design information of the camera optical lens  10  in the first embodiment of the present invention is shown in the following, the unit of the focal length, distance, radius and center thickness is mm. 
     The design information of the camera optical lens  10  in the first embodiment of the present invention is shown in the tables 1 and 2. 
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 1 
               
               
                   
               
               
                   
                 R 
                 d 
                 nd 
                 νd 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.250 
                   
                   
                   
                   
               
               
                 R1 
                 1.685 
                 d1 = 
                 0.564 
                 nd1 
                 1.5439 
                 ν1 
                 55.95 
               
               
                 R2 
                 15.427 
                 d2 = 
                 0.062 
                   
                   
                   
                   
               
               
                 R3 
                 8.644 
                 d3 = 
                 0.311 
                 nd2 
                 1.6448 
                 ν2 
                 22.44 
               
               
                 R4 
                 3.026 
                 d4 = 
                 0.438 
                   
                   
                   
                   
               
               
                 R5 
                 −24.145 
                 d5 = 
                 0.307 
                 nd3 
                 1.7130 
                 ν3 
                 53.87 
               
               
                 R6 
                 −6.652 
                 d6 = 
                 0.322 
                   
                   
                   
                   
               
               
                 R7 
                 −5.566 
                 d7 = 
                 0.433 
                 nd4 
                 1.6355 
                 ν4 
                 23.97 
               
               
                 R8 
                 −15.675 
                 d8 = 
                 0.371 
                   
                   
                   
                   
               
               
                 R9 
                 2.831 
                 d9 = 
                 0.691 
                 nd5 
                 1.5352 
                 ν5 
                 56.12 
               
               
                 R10 
                 −13.133 
                 d10 = 
                 0.635 
                   
                   
                   
                   
               
               
                 R11 
                 −1.363 
                 d11 = 
                 0.268 
                 nd6 
                 1.7130 
                 ν6 
                 53.87 
               
               
                 R12 
                 −6.314 
                 d12 = 
                 0.350 
                   
                   
                   
                   
               
               
                 R15 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 νg 
                 64.17 
               
               
                 R16 
                 ∞ 
                 d14 = 
                 0.140 
               
               
                   
               
            
           
         
       
     
     Where: 
     In which, the meaning of the various symbols is as follows. 
     S 1 : Aperture; 
     R: The curvature radius of the optical surface, the central curvature radius in case of lens; 
     R 1 : The curvature radius of the object side surface of the first lens L 1 ; 
     R 2 : The curvature radius of the image side surface of the first lens L 1 ; 
     R 3 : The curvature radius of the object side surface of the second lens L 2 ; 
     R 4 : The curvature radius of the image side surface of the second lens L 2 ; 
     R 5 : The curvature radius of the object side surface of the third lens L 3 ; 
     R 6 : The curvature radius of the image side surface of the third lens L 3 ; 
     R 7 : The curvature radius of the object side surface of the fourth lens L 4 ; 
     R 8 : The curvature radius of the image side surface of the fourth lens L 4 ; 
     R 9 : The curvature radius of the object side surface of the fifth lens L 5 ; 
     R 10 : The curvature radius of the image side surface of the fifth lens L 5 ; 
     R 11 : The curvature radius of the object side surface of the sixth lens L 6 ; 
     R 12 : The curvature radius of the image side surface of the sixth lens L 6 ; 
     R 13 : The curvature radius of the object side surface of the optical filter GF; 
     R 14 : The curvature radius of the image side surface of the optical filter GF; 
     d: The thickness on-axis of the lens and the distance on-axis between the lens; 
     d 0 : The distance on-axis from aperture S 1  to the object side surface of the first lens L 1 ; 
     d 1 : The thickness on-axis of the first lens L 1 ; 
     d 2 : The distance on-axis from the image side surface of the first lens L 1  to the object side surface of the second lens L 2 ; 
     d 3 : The thickness on-axis of the second lens L 2 ; 
     d 4 : The distance on-axis from the image side surface of the second lens L 2  to the object side surface of the third lens L 3 ; 
     d 5 : The thickness on-axis of the third lens L 3 ; 
     d 6 : The distance on-axis from the image side surface of the third lens L 3  to the object side surface of the fourth lens L 4 ; 
     d 7 : The thickness on-axis of the fourth lens L 4 ; 
     d 8 : The distance on-axis from the image side surface of the fourth lens L 4  to the object side surface of the fifth lens L 5 ; 
     d 9 : The thickness on-axis of the fifth lens L 5 ; 
     d 10 : The distance on-axis from the image side surface of the fifth lens L 5  to the object side surface of the sixth lens L 6 ; 
     d 11 : The thickness on-axis of the sixth lens L 6 ; 
     d 12 : The distance on-axis from the image side surface of the sixth lens L 6  to the object side surface of the optical filter GF; 
     d 13 : The thickness on-axis of the optical filter GF; 
     d 14 : The distance on-axis from the image side surface to the image surface of the optical filter GF; 
     nd: The refractive power of the d line; 
     nd 1 : The refractive power of the d line of the first lens L 1 ; 
     nd 2 : The refractive power of the d line of the second lens L 2 ; 
     nd 3 : The refractive power of the d line of the third lens L 3 ; 
     nd 4 : The refractive power of the d line of the fourth lens L 4 ; 
     nd 5 : The refractive power of the d line of the fifth lens L 5 ; 
     nd 6 : The refractive power of the d line of the sixth lens L 6 ; 
     ndg: The refractive power of the d line of the optical filter GF; 
     vd: The abbe number; 
     v 1 : The abbe number of the first lens L 1 ; 
     v 2 : The abbe number of the second lens L 2 ; 
     v 3 : The abbe number of the third lens L 3 ; 
     v 4 : The abbe number of the fourth lens L 4 ; 
     v 5 : The abbe number of the fifth lens L 5 ; 
     v 6 : The abbe number of the sixth lens L 6 ; 
     vg: The abbe number of the optical filter GF. 
     Table 2 shows the aspherical surface data of the camera optical lens  10  in the embodiment 1 of the present invention. 
     
       
         
           
               
               
               
             
               
                 TABLE 2 
               
             
            
               
                   
               
               
                   
                 Conic Index 
                 Aspherical Surface Index 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 k 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
                 A16 
               
               
                   
               
               
                 R1 
                 −2.7959E−01 
                   4.0231E−03 
                   6.7026E−03 
                 −3.0338E−02 
                 −2.1444E−05 
                   6.3824E−03 
                   1.8449E−02 
                 −2.5665E−02 
               
               
                 R2 
                   1.3211E+02 
                 −1.1638E−01 
                   1.2010E−01 
                 −4.5469E−02 
                 −5.2764E−02 
                   8.1911E−03 
                   1.8625E−02 
                 −1.0170E−02 
               
               
                 R3 
                   5.4280E+01 
                 −1.3949E−01 
                   1.9491E−01 
                 −6.5021E−02 
                 −3.8726E−02 
                 −1.3055E−03 
                   1.5698E−02 
                   4.7173E−04 
               
               
                 R4 
                   4.8595E+00 
                 −5.7717E−02 
                   1.0055E−01 
                 −3.0172E−02 
                   5.9569E−03 
                 −2.8337E−02 
                   5.2118E−02 
                 −2.6301E−02 
               
               
                 R5 
                   0.0000E+00 
                 −1.0762E−01 
                 −1.8981E−02 
                 −9.4855E−03 
                 −2.1024E−02 
                   5.0514E−02 
                   5.0887E−03 
                 −7.1040E−03 
               
               
                 R6 
                 −5.6896E+00 
                 −8.7026E−02 
                 −3.3485E−02 
                   1.0429E−02 
                   1.8292E−02 
                 −1.1256E−02 
                   4.7640E−03 
                   1.9431E−03 
               
               
                 R7 
                 −1.0415E+02 
                 −1.0970E−01 
                   7.6186E−02 
                 −1.2382E−02 
                 −1.5683E−03 
                   1.3886E−03 
                 −1.4194E−03 
                   3.0746E−04 
               
               
                 R8 
                 −1.4190E+02 
                 −1.1180E−01 
                   6.0513E−02 
                 −2.2447E−03 
                 −2.3340E−03 
                 −3.1233E−04 
                   1.2931E−04 
                   3.0240E−06 
               
               
                 R9 
                 −4.6012E+00 
                 −6.5164E−02 
                   4.4634E−03 
                   1.0445E−04 
                 −9.7313E−04 
                   5.9229E−04 
                 −1.8911E−04 
                   2.2656E−05 
               
               
                 R10 
                   0.0000E+00 
                   2.3954E−02 
                 −2.9799E−02 
                   9.1089E−03 
                 −1.5550E−03 
                   1.7148E−04 
                 −1.5417E−05 
                   7.7199E−07 
               
               
                 R11 
                 −1.8335E+00 
                   2.0645E−02 
                 −1.5844E−02 
                   5.8113E−03 
                 −9.9054E−04 
                   8.9633E−05 
                 −4.2272E−06 
                   8.3204E−08 
               
               
                 R12 
                 −5.2510E+00 
                   7.0971E−03 
                 −8.0487E−03 
                   2.6524E−03 
                 −5.1374E−04 
                   5.2471E−05 
                 −2.6792E−06 
                   5.8379E−08 
               
               
                   
               
            
           
         
       
     
     Among them, K is a conic index, A 4 , A 6 , A 8 , A 10 , A 12 , A 14 , A 16  are aspheric surface indexes. 
     IH: Image height
 
 y =( x   2   /R )/[1+{1−( k+ 1)( x   2   /R   2 )} 1/2 ]+ A 4 x   4   +A 6 x   6   +A 8 x   8   +A 10 x   10   +A 12 x   12   +A 14 x   14   +A 16 x   16   (1)
 
     For convenience, the aspheric surface of each lens surface uses the aspheric surfaces shown in the above condition (1). However, the present invention is not limited to the aspherical polynomials form shown in the condition (1). 
     Table 3 and table 4 show the inflexion points and the arrest point design data of the camera optical lens  10  lens in embodiment 1 of the present invention. In which, P 1 R 1  and P 1 R 2  represent respectively the object side surface and image side surface of the first lens L 1 , P 2 R 1  and P 2 R 2  represent respectively the object side surface and image side surface of the second lens L 2 , P 3 R 1  and P 3 R 2  represent respectively the object side surface and image side surface of the third lens L 3 , P 4 R 1  and P 4 R 2  represent respectively the object side surface and image side surface of the fourth lens L 4 , P 5 R 1  and P 5 R 2  represent respectively the object side surface and image side surface of the fifth lens L 5 , P 6 R 1  and P 6 R 2  represent respectively the object side surface and image side surface of the sixth lens L 6 . The data in the column named “inflexion point position” are the vertical distances from the inflexion points arranged on each lens surface to the optic axis of the camera optical lens  10 . The data in the column named “arrest point position” are the vertical distances from the arrest points arranged on each lens surface to the optic axis of the camera optical lens  10 . 
     
       
         
           
               
               
               
               
             
               
                 TABLE 3 
               
               
                   
               
               
                   
                 Inflexion  
                 Inflexion  
                 Inflexion  
               
               
                   
                 point number 
                 point position 1 
                 point position 2 
               
               
                   
               
             
            
               
                 P1R1 
                 1 
                 0.895 
                   
               
               
                 P1R2 
                 1 
                 0.245 
                   
               
               
                 P2R1 
                 0 
                   
                   
               
               
                 P2R2 
                 0 
                   
                   
               
               
                 P3R1 
                 1 
                 0.935 
                   
               
               
                 P3R2 
                 1 
                 1.015 
                   
               
               
                 P4R1 
                 2 
                 0.915 
                 1.185 
               
               
                 P4R2 
                 2 
                 0.965 
                 1.575 
               
               
                 P5R1 
                 2 
                 0.625 
                 1.915 
               
               
                 P5R2 
                 0 
                   
                   
               
               
                 P6R1 
                 1 
                 1.595 
                   
               
               
                 P6R2 
                 1 
                 2.795 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 4 
               
               
                   
                   
               
               
                   
                   
                 Arrest point 
                 Arrest point  
               
               
                   
                   
                 number 
                 position 1 
               
               
                   
                   
               
             
            
               
                   
                 P1R1 
                 0 
                   
               
               
                   
                 P1R2 
                 1 
                 0.455 
               
               
                   
                 P2R1 
                 0 
                   
               
               
                   
                 P2R2 
                 0 
                   
               
               
                   
                 P3R1 
                 0 
                   
               
               
                   
                 P3R2 
                 0 
                   
               
               
                   
                 P4R1 
                 0 
                   
               
               
                   
                 P4R2 
                 1 
                 1.415 
               
               
                   
                 P5R1 
                 1 
                 1.015 
               
               
                   
                 P5R2 
                 0 
                   
               
               
                   
                 P6R1 
                 0 
                   
               
               
                   
                 P6R2 
                 0 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 2  and  FIG. 3  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486 nm, 588 nm and 656 nm passes the camera optical lens  10  in the first embodiment.  FIG. 4  shows the field curvature and distortion schematic diagrams after light with a wavelength of 588 nm passes the camera optical lens  10  in the first embodiment, the field curvature S in  FIG. 4  is a field curvature in the sagittal direction, T is a field curvature in the meridian direction. 
     Table 13 shows the various values of the embodiments 1, 2, 3, and the values corresponding with the parameters which are already specified in the conditions. 
     As shown in Table 13, the first embodiment satisfies the various conditions. 
     In this embodiment, the pupil entering diameter of the camera optical lens is 2.018 mm, the full vision field image height is 3.928 mm, the vision field angle in the diagonal direction is 82.56°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics. 
     Embodiment 2 
     Embodiment 2 is basically the same as embodiment 1, the meaning of its symbols is the same as that of embodiment 1, in the following, only the differences are described. 
     Table 5 and table 6 show the design data of the camera optical lens  20  in embodiment 2 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 5 
               
               
                   
               
               
                   
                 R 
                 d 
                 nd 
                 νd 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.250 
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 R1 
                 1.683 
                 d1 = 
                 0.570 
                 nd1 
                 1.5439 
                 ν1 
                 55.95 
               
               
                 R2 
                 15.284 
                 d2 = 
                 0.061 
                   
                   
                   
                   
               
               
                 R3 
                 8.652 
                 d3 = 
                 0.317 
                 nd2 
                 1.6448 
                 ν2 
                 22.44 
               
               
                 R4 
                 3.021 
                 d4 = 
                 0.430 
                   
                   
                   
                   
               
               
                 R5 
                 −26.125 
                 d5 = 
                 0.316 
                 nd3 
                 1.7130 
                 ν3 
                 53.87 
               
               
                 R6 
                 −6.746 
                 d6 = 
                 0.319 
                   
                   
                   
                   
               
               
                 R7 
                 −5.576 
                 d7 = 
                 0.453 
                 nd4 
                 1.6355 
                 ν4 
                 23.97 
               
               
                 R8 
                 −15.503 
                 d8 = 
                 0.365 
                   
                   
                   
                   
               
               
                 R9 
                 2.828 
                 d9 = 
                 0.688 
                 nd5 
                 1.5352 
                 ν5 
                 56.12 
               
               
                 R10 
                 −12.493 
                 d10 = 
                 0.628 
                   
                   
                   
                   
               
               
                 R11 
                 −1.363 
                 d11 = 
                 0.264 
                 nd6 
                 1.7410 
                 ν6 
                 52.64 
               
               
                 R12 
                 −5.997 
                 d12 = 
                 0.350 
                   
                   
                   
                   
               
               
                 R15 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 νg 
                 64.17 
               
               
                 R16 
                 ∞ 
                 d14 = 
                 0.139 
               
               
                   
               
            
           
         
       
     
     Table 6 shows the aspherical surface data of each lens of the camera optical lens  20  in embodiment 2 of the present invention. 
     
       
         
           
               
               
               
             
               
                 TABLE 6 
               
             
            
               
                   
               
               
                   
                 Conic Index 
                 Aspherical Surface Index 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 k 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
                 A16 
               
               
                   
               
               
                 R1 
                 −2.7418E−01 
                   4.2636E−03 
                   6.7720E−03 
                 −3.0356E−02 
                 −1.8863E−04 
                   6.8360E−03 
                   1.8902E−02 
                 −2.5459E−02 
               
               
                 R2 
                   1.3375E+02 
                 −1.1640E−01 
                   1.2025E−01 
                 −4.5094E−02 
                 −5.2315E−02 
                   8.4290E−03 
                   1.8529E−02 
                 −1.0427E−02 
               
               
                 R3 
                   5.4165E+01 
                 −1.3919E−01 
                   1.9520E−01 
                 −6.4922E−02 
                 −3.8705E−02 
                 −1.3518E−03 
                   1.5528E−02 
                 −2.2453E−06 
               
               
                 R4 
                   4.8548E+00 
                 −5.7478E−02 
                   1.0032E−01 
                 −3.0572E−02 
                   5.9229E−03 
                 −2.7945E−02 
                   5.2320E−02 
                 −2.6839E−02 
               
               
                 R5 
                   0.0000E+00 
                 −1.0771E−01 
                 −1.9300E−02 
                 −9.7980E−03 
                 −2.1564E−02 
                   5.0173E−02 
                   5.0884E−03 
                 −6.8709E−03 
               
               
                 R6 
                 −5.2129E+00 
                 −8.7043E−02 
                 −3.3346E−02 
                   1.0391E−02 
                   1.8220E−02 
                 −1.1374E−02 
                   4.6389E−03 
                   1.8545E−03 
               
               
                 R7 
                 −1.0560E+02 
                 −1.0945E−01 
                   7.6210E−02 
                 −1.2376E−02 
                 −1.5576E−03 
                   1.3808E−03 
                 −1.4252E−03 
                   3.0710E−04 
               
               
                 R8 
                 −1.5516E+02 
                 −1.1170E−01 
                   6.0512E−02 
                 −2.2359E−03 
                 −2.3313E−03 
                 −3.1169E−04 
                   1.2938E−04 
                   3.0102E−06 
               
               
                 R9 
                 −4.9235E+00 
                 −6.4735E−02 
                   4.5561E−03 
                   9.9341E−05 
                 −9.7216E−04 
                   5.9232E−04 
                 −1.8910E−04 
                   2.2679E−05 
               
               
                 R10 
                   0.0000E+00 
                   2.3797E−02 
                 −2.9803E−02 
                   9.1113E−03 
                 −1.5548E−03 
                   1.7146E−04 
                 −1.5435E−05 
                   7.6461E−07 
               
               
                 R11 
                 −1.8283E+00 
                   2.0605E−02 
                 −1.5846E−02 
                   5.8114E−03 
                 −9.9051E−04 
                   8.9637E−05 
                 −4.2268E−06 
                   8.3193E−08 
               
               
                 R12 
                 −5.0043E+00 
                   7.1192E−03 
                 −8.0453E−03 
                   2.6527E−03 
                 −5.1372E−04 
                   5.2487E−05 
                 −2.6785E−06 
                   5.8482E−08 
               
               
                   
               
            
           
         
       
     
     Table 7 and table 8 show the inflexion points and the arrest point design data of the camera optical lens  20  lens in embodiment 2 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 7 
               
               
                   
               
               
                   
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
               
               
                   
                 number 
                 position 1 
                 position 2 
                 position 3 
               
               
                   
               
             
            
               
                 P1R1 
                 1 
                 0.905 
                   
                   
               
               
                 P1R2 
                 1 
                 0.245 
                   
                   
               
               
                 P2R1 
                 0 
                   
                   
                   
               
               
                 P2R2 
                 0 
                   
                   
                   
               
               
                 P3R1 
                 1 
                 0.935 
                   
                   
               
               
                 P3R2 
                 1 
                 1.015 
                   
                   
               
               
                 P4R1 
                 2 
                 0.915 
                 1.185 
                   
               
               
                 P4R2 
                 3 
                 0.955 
                 1.585 
                 1.665 
               
               
                 P5R1 
                 2 
                 0.615 
                 1.915 
                   
               
               
                 P5R2 
                 0 
                   
                   
                   
               
               
                 P6R1 
                 1 
                 1.595 
                   
                   
               
               
                 P6R2 
                 1 
                 2.775 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 8 
               
               
                   
                   
               
               
                   
                   
                 Arrest point  
                 Arrest point  
               
               
                   
                   
                 number 
                 position 1 
               
               
                   
                   
               
             
            
               
                   
                 P1R1 
                 0 
                   
               
               
                   
                 P1R2 
                 1 
                 0.455 
               
               
                   
                 P2R1 
                 0 
                   
               
               
                   
                 P2R2 
                 0 
                   
               
               
                   
                 P3R1 
                 0 
                   
               
               
                   
                 P3R2 
                 0 
                   
               
               
                   
                 P4R1 
                 0 
                   
               
               
                   
                 P4R2 
                 1 
                 1.405 
               
               
                   
                 P5R1 
                 1 
                 1.095 
               
               
                   
                 P5R2 
                 0 
                   
               
               
                   
                 P6R1 
                 0 
                   
               
               
                   
                 P6R2 
                 0 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 6  and  FIG. 7  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486 nm, 588 nm and 656 nm passes the camera optical lens  20  in the second embodiment.  FIG. 8  shows the field curvature and distortion schematic diagrams after light with a wavelength of 588 nm passes the camera optical lens  20  in the second embodiment. 
     As shown in Table 13, the second embodiment satisfies the various conditions. 
     In this embodiment, the pupil entering diameter of the camera optical lens is 2.019 mm, the full vision field image height is 3.928 mm, the vision field angle in the diagonal direction is 82.56°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics. 
     Embodiment 3 
     Embodiment 3 is basically the same as embodiment 1, the meaning of its symbols is the same as that of embodiment 1, in the following, only the differences are described. 
     Table 9 and table 10 show the design data of the camera optical lens  30  in embodiment 3 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 9 
               
               
                   
               
               
                   
                 R 
                 d 
                 nd 
                 νd 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.250 
                   
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 R1 
                 1.682 
                 d1 = 
                 0.570 
                 nd1 
                 1.5439 
                 ν1 
                 55.95 
               
               
                 R2 
                 15.248 
                 d2 = 
                 0.061 
                   
                   
                   
                   
               
               
                 R3 
                 8.681 
                 d3 = 
                 0.319 
                 nd2 
                 1.6448 
                 ν2 
                 22.44 
               
               
                 R4 
                 3.018 
                 d4 = 
                 0.430 
                   
                   
                   
                   
               
               
                 R5 
                 −23.983 
                 d5 = 
                 0.313 
                 nd3 
                 1.7410 
                 ν3 
                 52.64 
               
               
                 R6 
                 −6.620 
                 d6 = 
                 0.324 
                   
                   
                   
                   
               
               
                 R7 
                 −5.490 
                 d7 = 
                 0.453 
                 nd4 
                 1.6355 
                 ν4 
                 23.97 
               
               
                 R8 
                 −15.674 
                 d8 = 
                 0.362 
                   
                   
                   
                   
               
               
                 R9 
                 2.835 
                 d9 = 
                 0.689 
                 nd5 
                 1.5352 
                 ν5 
                 56.12 
               
               
                 R10 
                 −12.041 
                 d10 = 
                 0.624 
                   
                   
                   
                   
               
               
                 R11 
                 −1.362 
                 d11 = 
                 0.264 
                 nd6 
                 1.7410 
                 ν6 
                 52.64 
               
               
                 R12 
                 −5.979 
                 d12 = 
                 0.350 
                   
                   
                   
                   
               
               
                 R15 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 νg 
                 64.17 
               
               
                 R16 
                 ∞ 
                 d14 = 
                 0.139 
               
               
                   
               
            
           
         
       
     
     Table 10 shows the aspherical surface data of each lens of the camera optical lens  30  in embodiment 3 of the present invention. 
     
       
         
           
               
               
               
             
               
                 TABLE 10 
               
             
            
               
                   
               
               
                   
                 Conic Index 
                 Aspherical Surface Index 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 k 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
                 A16 
               
               
                   
               
               
                 R1 
                 −2.7423E−01 
                   4.2940E−03 
                   6.6904E−03 
                 −3.0512E−02 
                 −2.1677E−04 
                   6.9240E−03 
                   1.8958E−02 
                 −2.5598E−02 
               
               
                 R2 
                   1.3246E+02 
                 −1.1657E−01 
                   1.2021E−01 
                 −4.5125E−02 
                 −5.2342E−02 
                   8.4167E−03 
                   1.8521E−02 
                 −1.0367E−02 
               
               
                 R3 
                   5.4124E+01 
                 −1.3900E−01 
                   1.9520E−01 
                 −6.5034E−02 
                 −3.8705E−02 
                 −1.2380E−03 
                   1.5688E−02 
                   6.9566E−05 
               
               
                 R4 
                   4.8512E+00 
                 −5.7375E−02 
                   1.0002E−01 
                 −3.0689E−02 
                   6.0254E−03 
                 −2.7741E−02 
                   5.2435E−02 
                 −2.6946E−02 
               
               
                 R5 
                   0.0000E+00 
                 −1.0755E−01 
                 −1.9056E−02 
                 −9.6530E−03 
                 −2.1600E−02 
                   5.0122E−02 
                   5.0871E−03 
                 −6.8572E−03 
               
               
                 R6 
                 −5.2949E+00 
                 −8.6978E−02 
                 −3.3074E−02 
                   1.0432E−02 
                   1.8193E−02 
                 −1.1399E−02 
                   4.6331E−03 
                   1.8748E−03 
               
               
                 R7 
                 −1.0345E+02 
                 −1.0933E−01 
                   7.6269E−02 
                 −1.2337E−02 
                 −1.5550E−03 
                   1.3785E−03 
                 −1.4262E−03 
                   3.0767E−04 
               
               
                 R8 
                 −1.9229E+02 
                 −1.1158E−01 
                   6.0509E−02 
                 −2.2382E−03 
                 −2.3317E−03 
                 −3.1165E−04 
                   1.2937E−04 
                   3.0003E−06 
               
               
                 R9 
                 −5.0164E+00 
                 −6.4599E−02 
                   4.5523E−03 
                   1.0292E−04 
                 −9.6939E−04 
                   5.9272E−04 
                 −1.8914E−04 
                   2.2639E−05 
               
               
                 R10 
                   0.0000E+00 
                   2.3688E−02 
                 −2.9710E−02 
                   9.1054E−03 
                 −1.5564E−03 
                   1.7183E−04 
                 −1.5412E−05 
                   7.4571E−07 
               
               
                 R11 
                 −1.8327E+00 
                   2.0563E−02 
                 −1.5850E−02 
                   5.8112E−03 
                 −9.9052E−04 
                   8.9636E−05 
                 −4.2268E−06 
                   8.3214E−08 
               
               
                 R12 
                 −4.9266E+00 
                   7.1025E−03 
                 −8.0498E−03 
                   2.6522E−03 
                 −5.1374E−04 
                   5.2486E−05 
                 −2.6785E−06 
                   5.8466E−08 
               
               
                   
               
            
           
         
       
     
     Table 11 and table 12 show the inflexion points and the arrest point design data of the camera optical lens  30  lens in embodiment 3 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 11 
               
               
                   
               
               
                   
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
               
               
                   
                 number 
                 position 1 
                 position 2 
                 position 3 
               
               
                   
               
             
            
               
                 P1R1 
                 1 
                 0.905 
                   
                   
               
               
                 P1R2 
                 1 
                 0.245 
                   
                   
               
               
                 P2R1 
                 0 
                   
                   
                   
               
               
                 P2R2 
                 0 
                   
                   
                   
               
               
                 P3R1 
                 1 
                 0.935 
                   
                   
               
               
                 P3R2 
                 1 
                 1.015 
                   
                   
               
               
                 P4R1 
                 2 
                 0.915 
                 1.185 
                   
               
               
                 P4R2 
                 3 
                 0.955 
                 1.585 
                 1.665 
               
               
                 P5R1 
                 2 
                 0.615 
                 1.915 
                   
               
               
                 P5R2 
                 0 
                   
                   
                   
               
               
                 P6R1 
                 1 
                 1.595 
                   
                   
               
               
                 P6R2 
                 1 
                 2.785 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 12 
               
               
                   
                   
               
               
                   
                   
                 Arrest point  
                 Arrest point  
               
               
                   
                   
                 number 
                 position 1 
               
               
                   
                   
               
             
            
               
                   
                 P1R1 
                 0 
                   
               
               
                   
                 P1R2 
                 1 
                 0.455 
               
               
                   
                 P2R1 
                 0 
                   
               
               
                   
                 P2R2 
                 0 
                   
               
               
                   
                 P3R1 
                 0 
                   
               
               
                   
                 P3R2 
                 0 
                   
               
               
                   
                 P4R1 
                 0 
                   
               
               
                   
                 P4R2 
                 1 
                 1.395 
               
               
                   
                 P5R1 
                 1 
                 1.095 
               
               
                   
                 P5R2 
                 0 
                   
               
               
                   
                 P6R1 
                 0 
                   
               
               
                   
                 P6R2 
                 0 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 10  and  FIG. 11  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486 nm, 588 nm and 656 nm passes the camera optical lens  30  in the third embodiment.  FIG. 12  shows the field curvature and distortion schematic diagrams after light with a wavelength of 588 nm passes the camera optical lens  30  in the third embodiment. 
     As shown in Table 13, the third embodiment satisfies the various conditions. 
     In this embodiment, the pupil entering diameter of the camera optical lens is 2.016 mm, the full vision field image height is 3.928 mm, the vision field angle in the diagonal direction is 82.57°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics. 
     
       
         
           
               
               
               
               
             
               
                 TABLE 13 
               
               
                   
               
               
                   
                 Embodiment 1 
                 Embodiment 2 
                 Embodiment 3 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 f 
                 4.439 
                 4.441 
                 4.434 
               
               
                 f1 
                 3.428 
                 3.426 
                 3.425 
               
               
                 f2 
                 −7.381 
                 −7.363 
                 −7.339 
               
               
                 f3 
                 12.785 
                 12.670 
                 12.248 
               
               
                 f4 
                 −13.810 
                 −13.950 
                 −13.530 
               
               
                 f5 
                 4.418 
                 4.378 
                 4.357 
               
               
                 f6 
                 −2.495 
                 −2.440 
                 −2.439 
               
               
                 f12 
                 5.365 
                 5.355 
                 5.364 
               
               
                 (R1 + R2)/(R1 − R2) 
                 −1.245 
                 −1.247 
                 −1.248 
               
               
                 (R3 + R4)/(R3 − R4) 
                 2.077 
                 2.073 
                 2.066 
               
               
                 (R5 + R6)/(R5 − R6) 
                 1.761 
                 1.696 
                 1.763 
               
               
                 (R7 + R8)/(R7 − R8) 
                 −2.101 
                 −2.123 
                 −2.078 
               
               
                 (R9 + R10)/(R9 − R10) 
                 −0.645 
                 −0.631 
                 −0.619 
               
               
                 (R11 + R12)/(R11 − R12) 
                 −1.551 
                 −1.588 
                 −1.590 
               
               
                 f1/f 
                 0.772 
                 0.771 
                 0.772 
               
               
                 f2/f 
                 −1.663 
                 −1.658 
                 −1.655 
               
               
                 f3/f 
                 2.880 
                 2.853 
                 2.762 
               
               
                 f4/f 
                 −3.111 
                 −3.141 
                 −3.051 
               
               
                 f5/f 
                 0.995 
                 0.986 
                 0.983 
               
               
                 f6/f 
                 −0.562 
                 −0.549 
                 −0.550 
               
               
                 f12/f 
                 1.209 
                 1.206 
                 1.210 
               
               
                 d1 
                 0.564 
                 0.570 
                 0.570 
               
               
                 d3 
                 0.311 
                 0.317 
                 0.319 
               
               
                 d5 
                 0.307 
                 0.316 
                 0.313 
               
               
                 d7 
                 0.433 
                 0.453 
                 0.453 
               
               
                 d9 
                 0.691 
                 0.688 
                 0.689 
               
               
                 d11 
                 0.268 
                 0.264 
                 0.264 
               
               
                 Fno 
                 2.200 
                 2.200 
                 2.200 
               
               
                 TTL 
                 5.104 
                 5.110 
                 5.109 
               
               
                 d1/TTL 
                 0.111 
                 0.112 
                 0.112 
               
               
                 d3/TTL 
                 0.061 
                 0.062 
                 0.062 
               
               
                 d5/TTL 
                 0.060 
                 0.062 
                 0.061 
               
               
                 d7/TTL 
                 0.085 
                 0.089 
                 0.089 
               
               
                 d9/TTL 
                 0.135 
                 0.135 
                 0.135 
               
               
                 d11/TTL 
                 0.053 
                 0.052 
                 0.052 
               
               
                 n1 
                 1.5439 
                 1.5439 
                 1.5439 
               
               
                 n2 
                 1.6448 
                 1.6448 
                 1.6448 
               
               
                 n3 
                 1.7130 
                 1.7130 
                 1.7410 
               
               
                 n4 
                 1.6355 
                 1.6355 
                 1.6355 
               
               
                 n5 
                 1.5352 
                 1.5352 
                 1.5352 
               
               
                 n6 
                 1.7130 
                 1.7410 
                 1.7410 
               
               
                 v1 
                 55.9524 
                 55.9524 
                 55.9524 
               
               
                 v2 
                 22.4361 
                 22.4361 
                 22.4361 
               
               
                 v3 
                 53.8671 
                 53.8671 
                 52.6365 
               
               
                 v4 
                 23.9718 
                 23.9718 
                 23.9718 
               
               
                 v5 
                 56.1153 
                 56.1153 
                 56.1153 
               
               
                 v6 
                 53.8671 
                 52.6365 
                 52.6365 
               
               
                   
               
            
           
         
       
     
     It is to be understood, however, that even though numerous characteristics and advantages of the present exemplary embodiments have been set forth in the foregoing description, together with details of the structures and functions of the embodiments, the disclosure is illustrative only, and changes may be made in detail, especially in matters of shape, size, and arrangement of parts within the principles of the invention to the full extent indicated by the broad general meaning of the terms where the appended claims are expressed.