Patent Publication Number: US-10775590-B2

Title: Camera optical lens

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application claims the priority benefit of Chinese Patent Application Ser. No. 201810065856.5 and Ser. No. 201810065862.0 filed on Jan. 23, 2018, 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 to 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  shows 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  shows the longitudinal aberration of the camera optical lens shown in  FIG. 5 ; 
         FIG. 7  shows the lateral color of the camera optical lens shown in  FIG. 5 ; 
         FIG. 8  shows 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  shows the longitudinal aberration of the camera optical lens shown in  FIG. 9 ; 
         FIG. 11  shows the lateral color of the camera optical lens shown in  FIG. 9 ; 
         FIG. 12  shows 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 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 Si. 
     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 plastic material. 
     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  10  further satisfies the following condition: 4≤f 1 /f≤10, which fixes the positive refractive power of the first lens L 1 . If the lower 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 upper 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, 4≤f 1 /f≤9.5. 
     The refractive index of the third lens L 3  is defined as n 3 . Here the following condition should be satisfied: 1.7≤n 3 ≤2.2. This condition fixes the refractive index of the third lens L 3 , and when the value of the refractive index 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, 1.72≤n 3 ≤2.13. 
     The thickness on-axis of the third lens L 3  is defined as d 5 , and the total optical length of the camera optical lens  10  is defined as TTL. The following condition: 0.01≤d 5 /TTL≤0.2 should be satisfied. This condition fixes the ratio between the thickness on-axis of the third lens L 3  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.05≤d 5 /TTL≤0.16 shall be satisfied. 
     When the focal length of the camera optical lens  10  of the present invention, the focal length of each lens, the refractive power of the related lens, and the total optical length, the thickness on-axis and the curvature radius of the camera optical lens satisfy the above conditions, the camera optical lens  10  has the advantage of high performance and satisfies the design requirement of low TTL. 
     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: −38.36≤(R 1 +R 2 )/(R 1 −R 2 )≤−5.23, which fixes the shape of the first lens L 1 , by which, the shape of the first lens L can be reasonably controlled and it is effectively for correcting spherical aberration of the camera optical lens. Preferably, the condition −23.97≤(R 1 +R 2 )/(R 1 −R 2 )≤−6.54 shall be satisfied. 
     The thickness on-axis of the first lens L 1  is defined as d 1 . The following condition: 0.11≤d 1 ≤0.45 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.18≤d 1 ≤0.36 shall be satisfied. 
     In this embodiment, the second lens L 2  has a positive refractive power with 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: 0.66≤f 2 /f≤3.83. When the condition is satisfied, the positive 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 1.06≤f 2 /f≤3.06 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: −3.92≤(R 3 +R 4 )/(R 3 −R 4 )≤−1.06, which fixes the shape of the second lens L 2 , 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 on-axis Chromatic aberration is difficult to be corrected. Preferably, the following condition shall be satisfied, −2.45≤(R 3 +R 4 )/(R 3 −R 4 )≤−1.32. 
     The thickness on-axis of the second lens L 2  is defined as d 3 . The following condition: 0.22≤d 3 ≤0.73 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.35≤d 3 ≤0.58 shall be satisfied. 
     In this embodiment, the third lens L 3  has negative refractive power with 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 third lens L 3  is f 3 . The following condition should be satisfied: −7.21≤f 3 /f≤−0.99, by which the field curvature of the system then can be reasonably and effectively balanced. Preferably, the condition −4.51≤f 3 /f≤−1.24 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: 1.67≤(R 5 +R 6 )/(R 5 −R 6 )≤5.94, which is beneficial for the shaping of the third lens L 3 , and bad shaping and stress generation due to extra-large curvature of surface of the third lens L 3  can be avoided. Preferably, the following condition shall be satisfied, 2.67≤(R 5 +R 6 )/(R 5 −R 6 )≤4.75. 
     The thickness on-axis of the third lens L 3  is defined as d 5 . The following condition: 0.27≤d 5 ≤0.92 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.42≤d 5 ≤0.73 shall be satisfied. 
     In this embodiment, the fourth lens L 4  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 fourth lens L 4  is f 4 . The following condition should be satisfied: 0.78≤f 4 /f≤2.52, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition −1.255≤f 4 /f≤2.02 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: −0.88≤(R 7 +R 8 )/(R 7 −R 8 )≤0.07, which fixes the shaping of the fourth lens L 4 . When 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 following condition shall be satisfied, −0.55≤(R 7 +R 8 )/(R 7 −R 8 )≤0.06. 
     The thickness on-axis of the fourth lens L 4  is defined as d 7 . The following condition: 0.19≤d 7 ≤0.80 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.30≤d 7 ≤0.64 shall be satisfied. 
     In this embodiment, the fifth lens L 5  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 fifth lens L 5  is f 5 . The following condition should be satisfied: −9.06≤f 5 /f≤−1.70, which can effectively smooth the light angles of the camera and reduce the tolerance sensitivity. Preferably, the condition −5.66≤f 5 /f≤−2.12 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: −9.58≤(R 9 +R 10 )/(R 9 −R 10 )≤−1.25, by which, the shape of the fifth lens L 5  is fixed, when 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 following condition shall be satisfied, −5.99≤(R 9 +R 10 )/(R 9 −R 10 )≤−1.56. 
     The thickness on-axis of the fifth lens L 5  is defined as d 9 . The following condition: 0.14≤d 9 ≤0.59 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.22≤d 9 ≤0.47 shall be satisfied. 
     In this embodiment, the sixth lens L 6  has a positive refractive power with 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 sixth lens L 6  is f 6 . The following condition should be satisfied: 1.37≤f 6 /f≤9.27, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition 2.19≤f 6 /f≤7.41 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: 7.85≤(R 11 +R 12 )/(R 11 −R 12 )≤58.04, by which, the shape of the sixth lens L 6  is fixed, when 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 following condition shall be satisfied, 12.57≤(R 11 +R 12 )/(R 11 −R 12 )≤46.43. 
     The thickness on-axis of the sixth lens L 6  is defined as d 11 . The following condition: 0.34≤d 11 ≤1.69 should be satisfied. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.69≤d 11 ≤1.35 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: 0.55≤f 12 /f≤2.39, 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 0.88≤f 12 /f≤1.92 should be satisfied. 
     In this embodiment, the total optical length TTL of the camera optical lens  10  is less than or equal to 5.89 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 5.62 mm. 
     In this embodiment, the aperture F number of the camera optical lens  10  is less than or equal to 2.06. A large aperture has better imaging performance. Preferably, the aperture F number of the camera optical lens  10  is less than or equal to 2.02. 
     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 
                 vd 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.287 
                   
                   
                   
                   
               
               
                 R1 
                 2.048 
                 d1 = 
                 0.302 
                 nd1 
                 1.4693 
                 v1 
                 38.00 
               
               
                 R2 
                 2.599 
                 d2 = 
                 0.044 
               
               
                 R3 
                 3.297 
                 d3 = 
                 0.442 
                 nd2 
                 1.7254 
                 v2 
                 55.90 
               
               
                 R4 
                 13.454 
                 d4 = 
                 0.048 
               
               
                 R5 
                 4.979 
                 d5 = 
                 0.531 
                 nd3 
                 2.0622 
                 v3 
                 23.50 
               
               
                 R6 
                 2.681 
                 d6 = 
                 0.210 
               
               
                 R7 
                 8.007 
                 d7 = 
                 0.491 
                 nd4 
                 1.5896 
                 v4 
                 55.80 
               
               
                 R8 
                 −7.282 
                 d8 = 
                 0.411 
               
               
                 R9 
                 −3.610 
                 d9 = 
                 0.333 
                 nd5 
                 1.6431 
                 v5 
                 21.40 
               
               
                 R10 
                 −7.919 
                 d10 = 
                 0.247 
               
               
                 R11 
                 1.122 
                 d11 = 
                 0.865 
                 nd6 
                 1.4839 
                 v6 
                 55.70 
               
               
                 R12 
                 1.050 
                 d12 = 
                 0.609 
               
               
                 R13 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 vg 
                 64.17 
               
               
                 R14 
                 ∞ 
                 d14 = 
                 0.611 
               
               
                   
               
            
           
         
       
     
     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 index of the d line; 
     nd 1 : The refractive index of the d line of the first lens L 1 ; 
     nd 2 : The refractive index of the d line of the second lens L 2 ; 
     nd 3 : The refractive index of the d line of the third lens L 3 ; 
     nd 4 : The refractive index of the d line of the fourth lens L 4 ; 
     nd 5 : The refractive index of the d line of the fifth lens L 5 ; 
     nd 6 : The refractive index of the d line of the sixth lens L 6 ; 
     ndg: The refractive index 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 
                 1.6038E−01 
                 0.004484546 
                 0.004982746 
                 −0.017510993 
                 0.011639438 
                 −0.008656395 
                 0.003601218 
                 −1.69E−03 
               
               
                 R2 
                 2.1487E+00 
                 −0.036960961 
                 −0.059103485 
                 0.045428214 
                 0.009518569 
                 −0.012886621 
                 0.002276203 
                 −0.00225724 
               
               
                 R3 
                 7.0832E−01 
                 0.008402253 
                 −0.037200088 
                 0.001259001 
                 0.039965322 
                 −0.023894381 
                 −4.30939E−05 
                 0.002591397 
               
               
                 R4 
                 −1.9610E+01 
                 −0.010291852 
                 0.022015947 
                 −0.1283294 
                 0.074750574 
                 0.016055352 
                 −0.013929935 
                 0.001538762 
               
               
                 R5 
                 1.3970E+01 
                 −0.082006642 
                 0.001106722 
                 −0.043824034 
                 −0.032721162 
                 0.090189111 
                 −0.030673901 
                 −0.001904271 
               
               
                 R6 
                 −4.9642E+00 
                 −0.010974345 
                 0.025970843 
                 −0.1378094 
                 0.20073979 
                 −0.12629022 
                 0.034507977 
                 −0.002794968 
               
               
                 R7 
                 3.5262E+01 
                 −0.01207044 
                 −0.021197834 
                 0.069084953 
                 −0.057699733 
                 3.56113E−05 
                   2.74E−02 
                 −1.18E−02 
               
               
                 R8 
                 2.4231E+01 
                 −0.024776789 
                 −0.069109162 
                 0.13161033 
                 −0.095670415 
                 0.042229208 
                   −7.08E−03 
                 −1.60E−04 
               
               
                 R9 
                 −6.4080E+01 
                 0.11838219 
                 −0.28704065 
                 0.39159464 
                 −0.43898494 
                   3.05E−01 
                   −1.16E−01 
                 1.81E−02 
               
               
                 R10 
                 −3.5924E+02 
                 −0.088665496 
                 0.20232308 
                 −0.26389941 
                   1.75E−01 
                  −6.50E−02 
                   1.27E−02 
                 −1.00E−03 
               
               
                 R11 
                 −6.9250E+00 
                 −0.088665496 
                 0.028978918 
                 −0.003522646 
                 3.18121E−05 
                 4.51707E−05 
                   2.64E−06 
                 −9.63E−07 
               
               
                 R12 
                 −5.0813E+00 
                 −0.12798799 
                 0.01684142 
                 −0.002720052 
                   1.84E−04 
                   3.14E−06 
                   −7.17E−07 
                 −2.74E−09 
               
               
                   
               
            
           
         
       
     
     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 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 point 
                 Inflexion point 
                 Inflexion point 
               
               
                   
                 number 
                 position 1 
                 position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 P1R1 
                 1 
                 1.035 
                   
               
               
                   
                 P1R2 
                 1 
                 1.065 
               
               
                   
                 P2R1 
                 0 
               
               
                   
                 P2R2 
                 2 
                 0.505 
                 0.995 
               
               
                   
                 P3R1 
                 2 
                 0.485 
                 0.965 
               
               
                   
                 P3R2 
                 0 
               
               
                   
                 P4R1 
                 1 
                 1.125 
               
               
                   
                 P4R2 
                 1 
                 0.945 
               
               
                   
                 P5R1 
                 1 
                 1.385 
               
               
                   
                 P5R2 
                 0 
               
               
                   
                 P6R1 
                 2 
                 0.475 
                 1.945 
               
               
                   
                 P6R2 
                 1 
                 0.625 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 4 
               
               
                   
                   
               
               
                   
                 Arrest point 
                 Arrest point 
                 Arrest point 
               
               
                   
                 number 
                 position 1 
                 position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 P1R1 
                 0 
                   
                   
               
               
                   
                 P1R2 
                 0 
               
               
                   
                 P2R1 
                 0 
               
               
                   
                 P2R2 
                 2 
                 0.725 
                 1.115 
               
               
                   
                 P3R1 
                 2 
                 0.775 
                 1.085 
               
               
                   
                 P3R2 
                 0 
               
               
                   
                 P4R1 
                 1 
                 1.235 
               
               
                   
                 P4R2 
                 1 
                 1.195 
               
               
                   
                 P5R1 
                 0 
               
               
                   
                 P5R2 
                 0 
               
               
                   
                 P6R1 
                 1 
                 1.005 
               
               
                   
                 P6R2 
                 1 
                 1.485 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 2  and  FIG. 3  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486.1 nm, 587.6 nm and 656.3 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 587.6 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 2.199 mm, the full vision field image height is 3.512 mm, the vision field angle in the diagonal direction is 80.10°, 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 
                 vd 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.238 
                   
                   
                   
                   
               
               
                 R1 
                 2.219 
                 d1 = 
                 0.227 
                 nd1 
                 1.4693 
                 v1 
                 38.00 
               
               
                 R2 
                 2.463 
                 d2 = 
                 0.039 
               
               
                 R3 
                 3.145 
                 d3 = 
                 0.448 
                 nd2 
                 1.7449 
                 v2 
                 55.90 
               
               
                 R4 
                 13.866 
                 d4 = 
                 0.047 
               
               
                 R5 
                 4.966 
                 d5 = 
                 0.534 
                 nd3 
                 2.0373 
                 v3 
                 23.50 
               
               
                 R6 
                 2.748 
                 d6 = 
                 0.228 
               
               
                 R7 
                 7.970 
                 d7 = 
                 0.532 
                 nd4 
                 1.6002 
                 v4 
                 55.80 
               
               
                 R8 
                 −7.282 
                 d8 = 
                 0.413 
               
               
                 R9 
                 −4.770 
                 d9 = 
                 0.276 
                 nd5 
                 1.6198 
                 v5 
                 21.40 
               
               
                 R10 
                 −15.747 
                 d10 = 
                 0.313 
               
               
                 R11 
                 1.117 
                 d11 = 
                 0.858 
                 nd6 
                 1.4803 
                 v6 
                 55.70 
               
               
                 R12 
                 1.060546 
                 d12 = 
                 0.592 
               
               
                 R13 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 vg 
                 64.17 
               
               
                 R14 
                 ∞ 
                 d14 = 
                 0.595 
               
               
                   
               
            
           
         
       
     
     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 
                 1.1542E−01 
                 0.003333022 
                 0.004893268 
                 −0.017482763 
                 0.011422419 
                 −0.008999381 
                 0.003288848 
                 −2.20E−03 
               
               
                 R2 
                 2.1005E+00 
                 −0.037360588 
                 −0.060056774 
                 0.044794241 
                 0.009209554 
                 −0.013123395 
                 0.002091267 
                 −0.002441226 
               
               
                 R3 
                 6.1532E−01 
                 0.007326644 
                 −0.036726512 
                 0.00138087 
                 0.039977877 
                 −0.023894156 
                 −3.7807E−05 
                 0.002613367 
               
               
                 R4 
                 −7.5472E+00 
                 −0.009548686 
                 0.022003844 
                 −0.12822004 
                 0.074963264 
                 0.016172934 
                 −0.013906741 
                 1.51E−03 
               
               
                 R5 
                 1.3963E+01 
                 −0.082174101 
                 0.00116586 
                 −0.043824001 
                 −0.032730346 
                 0.09019638 
                 −0.030651887 
                 −0.001879308 
               
               
                 R6 
                 −5.9109E+00 
                 −0.012197025 
                 0.024231771 
                 −0.13934553 
                 0.20005369 
                 −0.12655946 
                 0.034404573 
                 −0.002830929 
               
               
                 R7 
                 3.5132E+01 
                 −0.014281792 
                 −0.022160186 
                 0.069147803 
                 −0.057729485 
                  2.1807E−05 
                 0.027392102 
                 −1.18E−02 
               
               
                 R8 
                 2.4020E+01 
                 −0.026645798 
                 −0.069163055 
                 0.13173748 
                 −0.095566839 
                 0.042284023 
                 −0.007045866 
                 −1.33E−04 
               
               
                 R9 
                 −6.5230E+01 
                 0.12597569 
                 −0.28589218 
                 0.39130267 
                 −0.43904774 
                 0.30499899 
                  −1.16E−01 
                 0.018042562 
               
               
                 R10 
                 −3.3257E+03 
                 −0.086048033 
                 0.20213072 
                 −0.26394389 
                 0.17499461 
                 −0.06505056 
                 0.012672044 
                 −1.00E−03 
               
               
                 R11 
                 −5.0349E+00 
                 −0.086048033 
                 0.028911475 
                 −0.003597751 
                 1.90411E−05 
                 4.30488E−05 
                 2.51872E−06 
                 −9.07E−07 
               
               
                 R12 
                 −4.2157E+00 
                 −0.12255432 
                 0.016839193 
                 −0.002725017 
                   1.84E−04 
                   3.16E−06 
                  −7.09E−07 
                 −1.48E−09 
               
               
                   
               
            
           
         
       
     
     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 
               
               
                   
                 number 
                 position 1 
                 position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 P1R1 
                 1 
                 0.975 
                   
               
               
                   
                 P1R2 
                 1 
                 1.055 
               
               
                   
                 P2R1 
                 0 
               
               
                   
                 P2R2 
                 2 
                 0.505 
                 0.985 
               
               
                   
                 P3R1 
                 2 
                 0.485 
                 0.965 
               
               
                   
                 P3R2 
                 1 
                 0.805 
               
               
                   
                 P4R1 
                 1 
                 1.115 
               
               
                   
                 P4R2 
                 1 
                 0.935 
               
               
                   
                 P5R1 
                 1 
                 1.395 
               
               
                   
                 P5R2 
                 0 
               
               
                   
                 P6R1 
                 1 
                 0.535 
               
               
                   
                 P6R2 
                 1 
                 0.675 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 8 
               
               
                   
                   
               
               
                   
                 Arrest point 
                 Arrest point 
                 Arrest point 
               
               
                   
                 number 
                 position 1 
                 position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 P1R1 
                 0 
                   
                   
               
               
                   
                 P1R2 
                 0 
               
               
                   
                 P2R1 
                 0 
               
               
                   
                 P2R2 
                 2 
                 0.725 
                 1.105 
               
               
                   
                 P3R1 
                 2 
                 0.775 
                 1.075 
               
               
                   
                 P3R2 
                 0 
               
               
                   
                 P4R1 
                 1 
                 1.235 
               
               
                   
                 P4R2 
                 1 
                 1.195 
               
               
                   
                 P5R1 
                 0 
               
               
                   
                 P5R2 
                 0 
               
               
                   
                 P6R1 
                 1 
                 1.125 
               
               
                   
                 P6R2 
                 1 
                 1.625 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 6  and  FIG. 7  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486.1 nm, 587.6 nm and 656.3 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 587.6 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 2.138 mm, the full vision field image height is 3.512 mm, the vision field angle in the diagonal direction is 81.69°, 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 
                 vd 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.100 
                   
                   
                   
                   
               
               
                 R1 
                 2.454 
                 d1 = 
                 0.237 
                 nd1 
                 1.6268 
                 v1 
                 25.40 
               
               
                 R2 
                 3.171 
                 d2 = 
                 0.034 
               
               
                 R3 
                 4.407 
                 d3 = 
                 0.485 
                 nd2 
                 1.6602 
                 v2 
                 69.53 
               
               
                 R4 
                 13.606 
                 d4 = 
                 0.056 
               
               
                 R5 
                 6.106 
                 d5 = 
                 0.611 
                 nd3 
                 1.7384 
                 v3 
                 25.40 
               
               
                 R6 
                 3.643 
                 d6 = 
                 0.216 
               
               
                 R7 
                 5.772 
                 d7 = 
                 0.373 
                 nd4 
                 1.6552 
                 v4 
                 71.39 
               
               
                 R8 
                 −14.755 
                 d8 = 
                 0.453 
               
               
                 R9 
                 −3.556 
                 d9 = 
                 0.395 
                 nd5 
                 1.6545 
                 v5 
                 34.98 
               
               
                 R10 
                 −5.433 
                 d10 = 
                 0.116 
               
               
                 R11 
                 1.644 
                 d11 = 
                 1.124 
                 nd6 
                 1.5293 
                 v6 
                 25.70 
               
               
                 R12 
                 1.44747 
                 d12 = 
                 0.470 
               
               
                 R13 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 vg 
                 64.17 
               
               
                 R14 
                 ∞ 
                 d14 = 
                 0.464 
               
               
                   
               
            
           
         
       
     
     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 
                 −2.1955E+00 
                 −0.0380805 
                 −0.017552349 
                 −0.018276022 
                 0.01786074 
                 −0.003881996 
                 0.00725066 
                 −4.57E−03 
               
               
                 R2 
                 4.7887E+00 
                 −0.064499491 
                 −0.063577499 
                 0.034473949 
                 0.01202228 
                 −0.006269644 
                 0.005905782 
                 −0.009122278 
               
               
                 R3 
                 5.2982E+00 
                 0.030781069 
                 −0.030640289 
                 0.008955282 
                 0.039810182 
                 −0.02886338 
                 −0.001882811 
                 0.001594442 
               
               
                 R4 
                 −9.6087E+02 
                 −0.042072613 
                 0.018486826 
                 −0.13079846 
                 0.072098681 
                 0.01603653 
                 −0.014068927 
                 0.000475204 
               
               
                 R5 
                 −3.6040E−01 
                 −0.12758039 
                 −0.001541076 
                 −0.040629139 
                 −0.035005696 
                 0.086646203 
                 −0.03106846 
                 0.002212481 
               
               
                 R6 
                 −8.7019E+00 
                 −0.026901202 
                 0.032116171 
                 −0.13254375 
                 0.19574345 
                 −0.13058898 
                 0.031419568 
                 −0.000107302 
               
               
                 R7 
                 −6.9759E+01 
                 0.006889219 
                 −0.017689332 
                 0.065120749 
                 −0.056729947 
                 −0.001929675 
                 0.025062579 
                 −0.009348674 
               
               
                 R8 
                 8.7414E+01 
                 −0.016244622 
                 −0.080277313 
                 0.12516756 
                 −0.097054462 
                 0.042385033 
                 −0.006596142 
                 −2.14E−04 
               
               
                 R9 
                 −5.3591E+02 
                 0.12599051 
                 −0.29490379 
                 0.3933696 
                 −0.43905017 
                 0.30489823 
                   −1.16E−01 
                 1.79E−02 
               
               
                 R10 
                 −7.7934E+00 
                 −0.10257567 
                 0.20078115 
                 −0.26449797 
                 0.17399546 
                 −0.065255056 
                 0.012704837 
                 −9.60E−04 
               
               
                 R11 
                 −6.5165E+01 
                 −0.10257567 
                 0.029930867 
                 −0.002958623 
                 0.000116587 
                 3.07832E−05 
                 −1.73566E−06 
                 −4.15E−06 
               
               
                 R12 
                 −8.8956E+00 
                 −0.19721015 
                 0.015694247 
                 −0.002660678 
                 1.85E−04 
                   2.70E−06 
                   −7.00E−07 
                 −1.02E−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 
               
               
                   
                 number 
                 position 1 
                 position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 P1R1 
                 1 
                 0.685 
                   
               
               
                   
                 P1R2 
                 1 
                 0.635 
               
               
                   
                 P2R1 
                 1 
                 1.025 
               
               
                   
                 P2R2 
                 1 
                 0.295 
               
               
                   
                 P3R1 
                 2 
                 0.325 
                 1.045 
               
               
                   
                 P3R2 
                 2 
                 0.705 
                 1.235 
               
               
                   
                 P4R1 
                 1 
                 1.105 
               
               
                   
                 P4R2 
                 1 
                 1.045 
               
               
                   
                 P5R1 
                 2 
                 0.225 
                 0.565 
               
               
                   
                 P5R2 
                 0 
               
               
                   
                 P6R1 
                 1 
                 0.255 
               
               
                   
                 P6R2 
                 1 
                 0.585 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
             
               
                   
                 TABLE 12 
               
               
                   
                   
               
               
                   
                 Arrest point 
                 Arrest point 
               
               
                   
                 number 
                 position 1 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 P1R1 
                 0 
                   
               
               
                   
                 P1R2 
                 0 
               
               
                   
                 P2R1 
                 0 
               
               
                   
                 P2R2 
                 1 
                 0.495 
               
               
                   
                 P3R1 
                 1 
                 0.545 
               
               
                   
                 P3R2 
                 1 
                 1.085 
               
               
                   
                 P4R1 
                 1 
                 1.235 
               
               
                   
                 P4R2 
                 1 
                 1.275 
               
               
                   
                 P5R1 
                 0 
               
               
                   
                 P5R2 
                 0 
               
               
                   
                 P6R1 
                 1 
                 0.545 
               
               
                   
                 P6R2 
                 1 
                 1.375 
               
               
                   
                   
               
            
           
         
       
     
       FIG. 10  and  FIG. 11  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486.1 nm, 587.6 nm and 656.3 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 587.6 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 1.895 mm, the full vision field image height is 3.512 mm, the vision field angle in the diagonal direction is 85.65°, 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 
                 4.178 
                 4.062 
                 3.789 
               
               
                 f1 
                 17.513 
                 36.786 
                 15.371 
               
               
                 f2 
                 5.912 
                 5.364 
                 9.669 
               
               
                 f3 
                 −6.208 
                 −6.759 
                 −13.669 
               
               
                 f4 
                 6.546 
                 6.424 
                 6.379 
               
               
                 f5 
                 −10.637 
                 −11.148 
                 −17.161 
               
               
                 f6 
                 11.592 
                 11.105 
                 23.407 
               
               
                 f12 
                 4.574 
                 4.815 
                 6.048 
               
               
                 (R1 + R2)/(R1 − R2) 
                 −8.432 
                 −19.178 
                 −7.851 
               
               
                 (R3 + R4)/(R3 − R4) 
                 −1.649 
                 −1.587 
                 −1.958 
               
               
                 (R5 + R6)/(R5 − R6) 
                 3.334 
                 3.478 
                 3.957 
               
               
                 (R7 + R8)/(R7 − R8) 
                 0.047 
                 0.045 
                 −0.438 
               
               
                 (R9 + R10)/ 
                 −2.676 
                 −1.869 
                 −4.791 
               
               
                 (R9 − R10) 
               
               
                 (R11 + R12)/ 
                 30.200 
                 38.695 
                 15.708 
               
               
                 (R11 − R12) 
               
               
                 f1/f 
                 4.192 
                 9.056 
                 4.056 
               
               
                 f2/f 
                 1.415 
                 1.321 
                 2.552 
               
               
                 f3/f 
                 −1.486 
                 1.664 
                 −3.607 
               
               
                 f4/f 
                 1.567 
                 1.581 
                 1.683 
               
               
                 f5/f 
                 −2.546 
                 2.744 
                 −4.529 
               
               
                 f6/f 
                 2.775 
                 2.734 
                 6.177 
               
               
                 f12/f 
                 1.095 
                 1.185 
                 1.596 
               
               
                 d1 
                 0.302 
                 0.227 
                 0.237 
               
               
                 d3 
                 0.442 
                 0.448 
                 0.485 
               
               
                 d5 
                 0.531 
                 0.534 
                 0.611 
               
               
                 d7 
                 0.491 
                 0.532 
                 0.373 
               
               
                 d9 
                 0.333 
                 0.276 
                 0.395 
               
               
                 d11 
                 0.865 
                 0.858 
                 1.124 
               
               
                 Fno 
                 1.900 
                 1.900 
                 2.000 
               
               
                 TTL 
                 5.353 
                 5.311 
                 5.243 
               
               
                 d1/TTL 
                 0.057 
                 0.043 
                 0.045 
               
               
                 d3/TTL 
                 0.083 
                 0.084 
                 0.092 
               
               
                 d5/TTL 
                 0.099 
                 0.101 
                 0.117 
               
               
                 d7/TTL 
                 0.092 
                 0.100 
                 0.071 
               
               
                 d9/TTL 
                 0.062 
                 0.052 
                 0.075 
               
               
                 d11/TTL 
                 0.162 
                 0.162 
                 0.214 
               
               
                 n1 
                 1.4693 
                 1.4693 
                 1.6268 
               
               
                 n2 
                 1.7254 
                 1.7449 
                 1.6602 
               
               
                 n3 
                 2.0622 
                 2.0373 
                 1.7384 
               
               
                 n4 
                 1.5896 
                 1.6002 
                 1.6552 
               
               
                 n5 
                 1.6431 
                 1.6198 
                 1.6545 
               
               
                 n6 
                 1.4839 
                 1.4803 
                 1.5293 
               
               
                 v1 
                 38.0000 
                 38.0000 
                 25.4000 
               
               
                 v2 
                 55.9000 
                 55.9000 
                 69.5315 
               
               
                 v3 
                 23.5000 
                 23.5000 
                 25.4000 
               
               
                 v4 
                 55.8000 
                 55.8000 
                 71.3856 
               
               
                 v5 
                 21.4000 
                 21.4000 
                 34.9793 
               
               
                 v6 
                 55.7000 
                 55.7000 
                 25.7024 
               
               
                   
               
            
           
         
       
     
     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.