Abstract:
An optical lens system for taking image comprises two lens elements with refractive power, from the object side to the image side: a first lens element with positive refractive power having a convex object-side surface and a concave image-side surface, the object-side surface and the image-side surface of the first lens element being aspheric; a second lens element with negative refractive power having a concave object-side surface and a concave image-side surface, the object-side surface and the image-side surface of the second lens element being aspheric, the image-side surface of the second lens element being formed with an inflection point; and an aperture stop located in front of the first lens element. A focal length of the second lens element is f 2 , a focal length of the optical lens system is f, and they satisfy the relation: −0.55&lt;f/f 2 &lt;−0.05 and f/EPD&lt;3.6.

Description:
BACKGROUND OF THE INVENTION 
   1. Field of the Invention 
   The present invention relates to an optical lens system for taking image, and more particularly to an optical lens system for taking image used in a mobile phone camera. 
   2. Description of the Prior Art 
   In recent years, with the popularity of camera mobile phone, the optical lens system for taking image has become thinner and thinner, and the sensor of a general digital camera is none other than CCD (Charge Coupled Device) or CMOS (Complementary Metal Oxide Semiconductor). Due to advancement in semiconductor manufacturing, the pixel size of sensors has been reduced from 7.4 um of the early stage to the current 1.75 um. Therefore, there&#39;s increasing demand for thinner optical lenses. 
   In consideration of aberration correction, a conventional mobile phone&#39;s lens assembly usually consists of three lens elements, one of the typical structures is the Triplet type. However, when the length of the lens assembly is reduced from 5 mm to less than 3 mm, less space is available for the optical system, making it difficult to insert the three lens elements into the space of the optical system. Therefore, the lens elements must become thinner, causing poor uniformity if the lens is made from plastic injection molding. 
   The present invention mitigates and/or obviates the afore-described disadvantages. 
   SUMMARY OF THE INVENTION 
   To solve the problem of the optical system for taking image, the present invention provides an optical system for taking image, which consists of two lens elements with refractive power and an aperture stop 
   An optical system for taking image in accordance with the present invention comprises two lens elements with refractive power, from the object side to the image side: 
   a first lens element with positive refractive power having a convex object-side surface and a concave image-side surface, the object-side surface and the image-side surface of the first lens element being aspheric; 
   a second lens element with negative refractive power having a concave object-side surface and a concave image-side surface, the object-side surface and the image-side surface of the second lens element being aspheric, the image-side surface of the second lens element being formed with an inflection point; and 
   an aperture stop located in front of the first lens element. 
   In the present optical lens system for taking image, the refractive power of the optical lens system for taking image of the present invention is mainly provided by the first lens element with positive refractive power, the second lens element with negative refractive power serves to balance and correct the various aberrations caused by the system. 
   In the present optical lens system for taking image, the object-side surface and the image-side surface of the first lens element with positive refractive power are convex and concave, respectively. The object-side surface and the image-side surface of the second lens element with negative refractive power are both concave. By such arrangements, the image quality can be improved effectively. 
   The first lens element provides a strong positive refractive power, and the aperture stop is located in front of the first lens element, so that the exit pupil of the optical lens system will be far away from the image plane. Therefore, the light will be projected onto the sensor with a relatively small incident angle, this is the telecentric feature of the image side, and this feature is very important to the photosensitive power of the current solid-state sensor, and can improve the photosensitivity of the sensor while reducing the probability of the occurrence of shading. And inflection points are formed on the second lens element to contribute to a better correction of the incident angle of the off axis light with respect to the sensor. 
   In the present optical lens system for taking image, plastic or glass material is introduced to make lens elements. The surface of lens element is aspheric, allowing more design parameters (than spherical surfaces), so as to better reduce the aberration and the number of the lens elements, so that the length of the optical lens system can be reduced effectively. 
   In the present optical lens system for taking image, the focal length of the first lens element is f 1 , the focal length of the optical lens system is f, and they satisfy the relation:
 
0.8 &lt;f/f &lt;1.5.
 
   If the value of f/f 1  is smaller than the above lower limit, the refractive power of the optical lens system for taking image will be weak, the length of the optical lens system will be too long, and it will be difficult to suppress the incident angle of the light with respect to the sensor. And if the value of f/f 1  is greater than the above upper limit, it will lead to large high order aberrations. Further, it will be better if f/f 1  satisfies the relation:
 
1.0 &lt;f/f 1&lt;1.2.
 
   In the present optical lens system for taking image, the focal length of the second lens element is f 2 , the focal length of the optical lens system is f, and they satisfy the relation:
 
−0.55 &lt;f/f 1&lt;−0.05.
 
   If the value of f/f 2  is smaller than the above low limit, the total optical length of the optical lens system for taking image will be too long, and this will be counter to the objective of miniaturization of the optical lens system for taking image. If the value of f/f 2  is greater than the above upper limit, it will be difficult to correct the chromatic aberration caused by the optical lens system. Further, it will be better if f/f 2  satisfies the relation:
 
−0.35 &lt;f/f 2&lt;−0.05.
 
   And it will be much better if f/f 1  satisfies the relation:
 
−0.3 &lt;f/f 2&lt;−0.2.
 
   In the present optical lens system for taking image, the focal length of the optical lens system is f, the Entrance Pupil diameter is EPD, and they satisfy the relation:
 
 f/EPD&lt; 3.6.
 
   The above relation can effectively improve the brightness of the optical lens system for taking image while shortening the image exposure time. 
   In the present optical lens system for taking image, the radius of curvature of the object-side surface of the first lens element is R 1 , the radius of curvature of the image-side surface of the first lens element is R 2 , and they satisfy the relation:
 
0.4 &lt;R 1/ R 2&lt;0.7.
 
   If the value of R 1 /R 2  is lower than the lower limit stated above, it will be difficult to correct the astigmatism caused by the optical lens system for taking image. On the other hand, if the value of R 1 /R 2  is higher than the above upper limit, it will be difficult to correct the spherical aberration caused by the optical lens system. 
   In the present optical lens system for taking image, the radius of curvature of the object-side surface of the second lens element is R 3 , the radius of curvature of the image-side surface of the second lens element is R 4 , and they satisfy the relation:
 
−2.5 &lt;R 3/ R 4&lt;−0.1.
 
   If the value of R 3 /R 4  is lower than the lower limit as stated above, the absolute value of R 3  will be relatively large, and it will be difficult to correct the chromatic aberration caused by the optical lens system. On the other hand, if the value of R 3 /R 4  is higher than the above upper limit, the absolute value of R 3  will be relatively small, and the length of the optical lens system for taking image will be too long. And it will better if the value of R 3 /R 4  satisfies the relation:
 
−0.5&lt; R 3/ R 4&lt;−0.1.
 
   In the present optical lens system for taking image, the refractive index of the first lens element is N 1 , and it satisfies the relation:
 
1.53&lt;N1&lt;1.56.
 
   The above-relation enables the optical lens system for taking image to obtain better image quality. 
   In the present optical lens system for taking image, the Abbe number of the first lens element is V 1 , the Abbe number of the second lens element is V 2 , and they satisfy the relation:
 
| V 1− V 2|&lt;10.
 
   The above relation can effectively correct the aberration and Coma caused by the optical system and improve the resolution of the optical lens system for taking image. And the chromatic aberration can be more effectively corrected if the Abbe number V 2  of the second lens element satisfies the relation:
 
V2&lt;32.
 
   In the present optical lens system for taking image, the center thickness of the second lens element is CT 2 , and it satisfies the relation:
 
CT2&lt;1.8 mm.
 
   The above relation can effectively reduce the total optical length of the optical lens system. 
   In the present optical lens system for taking image, the on-axis spacing of the first lens element and the second lens element is T 12 , the focal length of the optical lens system is f and they satisfy the relation:
 
0.2 &lt;T 12 /f&lt; 0.32.
 
   The above relation effectively corrects the high order aberrations of the system and contributes to the miniaturization of the optical lens system for taking image. 
   In the present optical lens system for taking image, the tangential angle at the position of the effective optical diameter of the image-side surface of the second lens element is ANG 22 , and it satisfies the relation:
 
ANG22&lt;−50 deg.
 
   The tangential angle at a point on the surface of a lens is defined as the angle between the tangential plane, Plane Tan, passing through that point and a plane, Plane Norm, normal to the optical axis and passing through that point. Let T and N be the points of intersection between the optical axis and planes Plane Tan and Plane Norm, respectively. This tangential angle is less than 90 degree in absolute value. The sign of the tangential angle is taken to be negative if N is closer than T to the object side of the optical lens system, and positive otherwise. 
   The above relation can effectively reduce the incident angle of the light with respect to the sensor while improving the correction of the off axis aberration. 
   In the present optical lens system for taking image, an object to be photographed is imaged on an electronic sensor, a total optical length of the optical lens system is TL, an image height of the optical lens system is ImgH, and they satisfy the relation:
 
TL/ImgH&lt;1.9.
 
   The above relation contributes to the miniaturization of the optical lens system for taking image. 

   
     BRIEF DESCRIPTION OF THE DRAWINGS 
       FIG. 1  shows an optical lens system for taking image in accordance with a first embodiment of the present invention; 
       FIG. 2  shows the aberration curve of the first embodiment of the present invention; 
       FIG. 3  shows an optical lens system for taking image in accordance with a second embodiment of the present invention; 
       FIG. 4  shows the aberration curve of the second embodiment of the present invention; 
       FIG. 5  shows an optical lens system for taking image in accordance with a third embodiment of the present invention; and 
       FIG. 6  shows the aberration curve of the third embodiment of the present invention. 
   

   DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
   Referring to  FIG. 1 , which shows an optical lens system for taking image in accordance with a first embodiment of the present invention, and  FIG. 2  shows the aberration curve of the first embodiment of the present invention. The first embodiment of the present invention is an optical lens system for taking image comprising two lens elements with refractive power, and the optical lens system for taking image comprises: from the object side to the image side: 
   A plastic first lens element  10  with positive refractive power has a convex object-side surface  11  and a concave image-side surface  12 , and the object-side surface  11  and the image-side surface  12  of the first lens element  10  are aspheric. 
   A plastic second lens element  20  with negative refractive power has a concave object-side surface  21  and a concave image-side surface  22 , the object-side surface  21  and the image-side surface  22  of the second lens element  20  are aspheric, and an inflection point is formed on the image-side surface  22 . 
   An aperture stop  30  is located in front of the first lens element  10 . 
   An IR cut filter  40  is located behind the second lens element  20  and has no influence on the focal length of the optical lens system. 
   A sensor cover glass  50  is located behind the IR cut filter  40  and has no influence on the focal length of the optical lens system. 
   An image plane  60  is located behind the sensor cover glass  50 . 
   The equation of the curve of the aspheric surfaces is expressed as follows: 
   
     
       
         
           
             X 
             ⁡ 
             
               ( 
               Y 
               ) 
             
           
           = 
           
             
               
                 ( 
                 
                   
                     Y 
                     2 
                   
                   / 
                   R 
                 
                 ) 
               
               / 
               
                 ( 
                 
                   1 
                   + 
                   
                     sqrt 
                     ⁡ 
                     
                       ( 
                       
                         1 
                         - 
                         
                           
                             ( 
                             
                               1 
                               + 
                               k 
                             
                             ) 
                           
                           * 
                           
                             
                               ( 
                               
                                 Y 
                                 / 
                                 R 
                               
                               ) 
                             
                             2 
                           
                         
                       
                       ) 
                     
                   
                 
                 ) 
               
             
             = 
             
               
                 ∑ 
                 
                   i 
                   = 
                   1 
                 
                 20 
               
               ⁢ 
               
                 
                   ( 
                   Ai 
                   ) 
                 
                 * 
                 
                   ( 
                   
                     Y 
                     i 
                   
                   ) 
                 
               
             
           
         
       
     
   
   wherein: 
   X: the depth from a point on the aspheric lens surface at a distance Y from the optical axis to the tangential plane of the aspheric surface vertex; 
   Y: the distance from the point on the curve of the aspheric surface to the optical axis; 
   k: the conic coefficient; 
   Ai: the ith aspheric coefficient. 
   In the first embodiment of the present optical lens system for taking image, the focal length of the first lens element is f 1 , the focal length of the second lens element is f 2 , the focal length of the optical lens system for taking image is f, the Entrance Pupil Diameter is EPD, and they satisfy the relations:
 
 f/f 1=1.11
 
 f/f 2=−0.24
 
 f /EPD=2.85.
 
   In the first embodiment of the present optical lens system for taking image, the radius of curvature of the object-side surface of the first lens element is RI, the radius of curvature of the image-side surface of the first lens element is R 2 , the radius of curvature of the object-side surface of the second lens element is R 3 , the radius of curvature of the image-side surface of the second lens element is R 4 , and they satisfy the relations:
 
 R 1/ R 2=0.52
 
 R 3/ R 4=−0.24
 
   In the first embodiment of the present optical lens system for taking image, the refractive index of the first lens element is N 1 , and it satisfies the relation:
 
N1=1.543
 
   In the first embodiment of the present optical lens system for taking image, the Abbe number of the first lens element is V 1 , the Abbe number of the second lens element is V 2 , and they satisfy the relations:
 
| V 1− V 2|=0
 
V2=60.3.
 
   In the first embodiment of the present optical lens system for taking image, the center thickness of the second lens element is CT 2 , the on-axis spacing of the first lens element and the second lens element is T 12 , the focal length of the present optical lens system for taking image is f, and they satisfy the relations:
 
CT2=1.385 mm
 
 T 12 /f= 0.24.
 
   In the first embodiment of the present optical lens system for taking image, the tangential angle at the position of the effective optical diameter of the image-side surface of the second lens element is ANG 22 , and ANG 22 =−70.4 deg. 
   In the first embodiment of the present optical lens system for taking image, the total optical length of the optical lens system is TL, the image height of the optical lens system is Imgh, and they satisfy the relation:
 
TL/ImgH=1.81.
 
   The detailed optical data of the first emobdiment is shown in table 1, and the aspheric surface data is shown in table 2, wherein the units of the radius of curvature, the thickness and the focal length are expressed in mm, and HFOV is half of the maximal field of view. 
   
     
       
             
           
             
             
             
             
             
             
             
             
           
             
             
             
             
             
             
             
             
           
         
             
               TABLE 1 
             
           
           
             
                 
             
             
               (Embodiment 1) 
             
             
               f (focal length) = 3.86 mm, Fno = 2.85, HFOV (half of field of view) = 31.5 deg. 
             
           
        
         
             
                 
                 
               Curvature 
                 
                 
                 
                 
               Focal 
             
             
               Surface # 
                 
               Radius 
               Thickness 
               Material 
               Index 
               Abbe # 
               length 
             
             
                 
             
           
        
         
             
               0 
               Object 
               Plano 
               Infinity 
                 
                 
                 
                 
             
             
               1 
               Ape. Stop 
               Plano 
               −0.226 
             
             
               2 
               Lens 1 
                 1.11210 (ASP) 
               0.710 
               Plastic 
               1.543 
               60.3 
               3.43 
             
             
               3 
                 
                 2.12256 (ASP) 
               0.933 
             
             
               4 
               Lens 2 
               −10.82790 (ASP) 
               1.385 
               Plastic 
               1.543 
               60.3 
               −15.82 
             
             
               5 
                 
                44.59360 (ASP) 
               0.050 
             
             
               6 
               IR-filter 
               Plano 
               0.300 
               Glass 
               1.517 
               64.2 
               — 
             
             
               7 
                 
               Plano 
               0.050 
             
             
               8 
               Cover 
               Plano 
               0.400 
               Glass 
               1.517 
               64.2 
               — 
             
             
                 
               Glass 
             
             
               9 
                 
               Plano 
               0.510 
             
             
               10 
               Image 
               Plano 
             
             
                 
             
           
        
       
     
   
   
     
       
             
           
             
             
           
             
             
             
             
             
           
             
             
             
             
           
         
             
               TABLE 2 
             
           
           
             
                 
             
             
               Aspheric Coefficients 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
               2  
               3 
               4 
               5 
             
             
                 
                 
             
           
        
         
             
                K = −1.36718E+00 
               −6.99066E+01 
               −5.00000E+02 
               −5.0000E+02 
             
             
                A4 = 1.04918E−01 
                 9.41306E−01 
               −2.95749E−01 
               −1.95757E−02 
             
             
                A6 = 4.44923E−01 
               −3.48748E+00 
                 5.90644E−01 
               −6.37467E−02 
             
             
                A8 = −1.60125E+00 
                 1.22405E+01 
               −1.59437E+00 
                 6.32249E−02 
             
             
               A10 = 3.24544E+00 
               −2.27679E+01 
                 2.06288E+00 
               −3.48353E−02- 
             
             
               A12 = −2.27282E+00 
                 1.88741E+01 
               −1.14883E+00 
                 9.63428E−03 
             
             
               A14 =   — 
               — 
               — 
               −1.09796E−03 
             
             
                 
             
           
        
       
     
   
   Referring to  FIG. 3 , which shows an optical lens system for taking image in accordance with a second embodiment of the present invention, and  FIG. 4  shows the aberration curve of the second embodiment of the present invention. The second embodiment of the present invention is an optical lens system for taking image comprising two lens elements with refractive power, and the optical lens system for taking image comprises: from the object side to the image side: 
   A plastic first lens element  10  with positive refractive power has a convex object-side surface  11  and a concave image-side surface  12 , and the object-side surface  11  and the image-side surface  12  of the first lens element  10  are aspheric. 
   A plastic second lens element  20  with negative refractive power has a concave object-side surface  21  and a concave image-side surface  22 , the object-side surface  21  and the image-side surface  22  of the second lens element  20  are aspheric, and an inflection point is formed on the image-side surface  22 . 
   An aperture stop  30  is located in front of the first lens element  10 . 
   An IR cut filter  40  is located behind the second lens element  20  and has no influence on the focal length of the optical lens system. 
   A sensor cover glass  50  is located behind the IR cut filter  40  and has no influence on the focal length of the optical lens system. 
   An image plane  60  is located behind the sensor cover glass  50 . 
   The equation of the curve of the aspheric surfaces of the second embodiment has the same form as that of the first embodiment. 
   In the second embodiment of the present optical lens system for taking image, the focal length of the first lens element is f 1 , the focal length of the second lens element is f 2 , the focal length of the optical lens system for taking image is f, the Entrance Pupil Diameter is EPD, and they satisfy the relations:
 
 f/f 1=1.07
 
 f/f 2=−0.21
 
 f /EPD=2.87.
 
   In the second embodiment of the present optical lens system for taking image, the radius of curvature of the object-side surface of the first lens element is R 1 , the radius of curvature of the image-side surface of the first lens element is R 2 , the radius of curvature of the object-side surface of the second lens element is R 3 , the radius of curvature of the image-side surface of the second lens element is R 4 , and they satisfy the relations:
 
 R 1/ R 2=0.59
 
 R 3/ R 4=−2.24.
 
   In the second embodiment of the present optical lens system for taking image, the refractive index of the first lens element is N 1 , and it satisfies the relation:
 
N1=1.543
 
   In the second embodiment of the present optical lens system for taking image, the Abbe number of the first lens element is V 1 , the Abbe number of the second lens element is V 2 , and they satisfy the relations:
 
| V 1− V 2|=0
 
V2=60.3.
 
   In the second embodiment of the present optical lens system for taking image, the center thickness of the second lens element is CT 2 , the on-axis spacing of the first lens element and the second lens element is T 12 , the focal length of the present optical lens system for taking image is f, and they satisfy the relations:
 
CT2=1.188 mm
 
 T 12 /f= 0.28.
 
   In the second embodiment of the present optical lens system for taking image, the tangential angle at the position of the effective optical diameter of a image-side surface of the second lens element is ANG 22 , and ANG 22 =−63.7 deg. 
   In the second embodiment of the present optical lens system for taking image, the total optical length of the optical lens system is TL, the image height of the optical lens system is ImgH, and they satisfy the relation:
 
TL/ImgH=1.82.
 
   The detailed optical data of the second embodiment is shown in table 3, and the aspheric surface data is shown in table 4, wherein the units of the radius of curvature, the thickness and the focal length are expressed in mm, and HFOV is half of the maximal-field of view. 
   
     
       
             
           
             
             
             
             
             
             
             
             
           
             
             
             
             
             
             
             
             
           
         
             
               TABLE 3 
             
           
           
             
                 
             
             
               (Embodiment 1) 
             
             
               f (focal length) = 3.99 mm, Fno = 2.87, HFOV (ha1f of field of view) = 30.7 deg. 
             
           
        
         
             
                 
                 
               Curvature 
                 
                 
                 
                 
               Focal 
             
             
               Surface # 
                 
               Radius 
               Thickness 
               Material 
               Index 
               Abbe # 
               length 
             
             
                 
             
           
        
         
             
               0 
               Object 
               Plano 
               Infinity 
                 
                 
                 
                 
             
             
               1 
               Ape. Stop 
               Plano 
               −0.179 
             
             
               2 
               Lens 1 
                 1.11060 (ASP) 
               0.744 
               Plastic 
               1.543 
               60.3 
               3.69 
             
             
               3 
                 
                 1.88692 (ASP) 
               1.108 
             
             
               4 
               Lens 2 
               −34.14910 (ASP) 
               1.188 
               Plastic 
               1.543 
               60.3 
               −19.14 
             
             
               5 
                 
                15.24060 (ASP) 
               0.060 
             
             
               6 
               IR-filter 
               Plano 
               0.300 
               Glass 
               1.517 
               64.2 
               — 
             
             
               7 
                 
               Plano 
               0.050 
             
             
               8 
               Cover 
               Plano 
               0.400 
               Glass 
               1.517 
               64.2 
               — 
             
             
                 
               Glass 
             
             
               9 
                 
               Plano 
               0.510 
             
             
               10 
               Image 
               Plano 
             
             
                 
             
           
        
       
     
   
   
     
       
             
           
             
             
           
             
             
             
             
             
           
             
             
             
             
           
         
             
               TABLE 4 
             
           
           
             
                 
             
             
               Aspheric Coefficients 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
               2  
               3 
               4 
               5 
             
             
                 
                 
             
           
        
         
             
                K = −1.67501E+00 
               −3.34669E+00 
               −1.01864E+01 
               −4.79679E+02 
             
             
                A4 = 1.65813E−01 
                 1.89668E−01 
               −5.72036E−02 
               −7.68478E−03 
             
             
                A6 = 9.70694RE−02 
               −2.62688E−01 
               −1.87056E−01 
               −3.39468E−02 
             
             
                A8 = 1.61197E−02 
                 6.11154E−01 
                 3.29540E−01 
                 1.38690E−02 
             
             
               A10 = −4.93012E−02 
                 3.84387E−01 
               −3.06196E−01 
               −3.19405E−03 
             
             
               A12 = 2.68005E−02 
               — 
                 9.30424E−02 
                 1.73054E−04 
             
             
                 
             
           
        
       
     
   
   Referring to  FIG. 5 , which shows an optical lens system for taking image in accordance with a third embodiment of the present invention, and  FIG. 6  shows the aberration curve of the third embodiment of the present invention. The third embodiment of the present invention is an optical lens system for taking image comprising two lens elements with refractive power, and the optical lens system for taking image comprises: from the object side to the image side: 
   A plastic first lens element  10  with positive refractive power has a convex object-side surface  11  and a concave image-side surface  12 , and the object-side surface  11  and the image-side surface  12  of the first lens element  10  are aspheric. 
   A plastic second lens element  20  with negative refractive power has a concave object-side surface  21  and a concave image-side surface  22 , the object-side surface  21  and the image-side surface  22  of the second lens element  20  are aspheric, and an inflection point is formed on the image-side surface  22 . 
   An aperture stop  30  is located in front of the first lens element  10 . 
   An IR cut filter  40  is located behind the second lens element  20  and has no influence on the focal length of the optical lens system. 
   A sensor cover glass  50  is located behind the IR cut filter  40  and has no influence on the focal length of the optical lens system. 
   An image plane  60  is located behind the sensor cover glass  50 . 
   The equation of the curve of the aspheric surfaces of the third embodiment has the same form as that of the first embodiment. 
   In the third embodiment of the present optical lens system for taking image, the focal length of the first lens element is f 1 , the focal length of the second lens element is f 2 , the focal length of the optical lens system for taking image is f, the Entrance Pupil Diameter is EPD, and they satisfy the relations:
 
 f/f 1=1.12
 
 f/f 2=−0.28
 
 f /EPD=2.85.
 
   In the third embodiment of the present optical lens system for taking image, the radius of curvature of the object-side surface of the first lens element is R 1 , the radius of curvature of the image-side surface of the first lens element is R 2 , the radius of curvature of the object-side surface of the second lens element is R 3 , the radius of curvature of the image-side surface of the second lens element is R 4 , and they satisfy the relations:
 
 R 1/ R 2=0.51
 
 R 3/ R 4=−0.37.
 
   In the third embodiment of the present optical lens system for taking image, the refractive index of the first lens element is N 1 , and it satisfies the relation:
 
N1=1.543
 
   In the third embodiment of the present optical lens system for taking image, the Abbe number of the first lens element is V 1 , the Abbe number of the second lens element is V 2 , and they satisfy the relations:
 
| V 1− V 2|=30.1
 
V2=30.2.
 
   In the third embodiment of the present optical lens system for taking image, the center thickness of the second lens element is CT 2 , the on-axis spacing of the first lens element and the second lens element is T 12 , the focal length of the present optical lens system for taking image is f, and they satisfy the relations:
 
CT2=1.348 mm
 
 T 12 /f= 0.25.
 
   In the third embodiment of the present optical lens system for taking image, the tangential angle at the position of the effective optical diameter of a image-side surface of the second lens element is ANG 22 , and ANG 22 =−69.1 deg. 
   In the third embodiment of the present optical lens system for taking image, the total optical length of the optical lens system is TL, the image height of the optical lens system is ImgH, and they satisfy the relation:
 
TL/ImgH=1.81.
 
   The detailed optical data of the third embodiment is shown in table 5, and the aspheric surface data is shown in table 6, wherein the units of the radius of curvature, the thickness and the focal length are expressed in mm, and HFOV is half of the maximal field of view. 
   
     
       
             
           
             
             
             
             
             
             
             
             
           
             
             
             
             
             
             
             
             
           
         
             
               TABLE 5 
             
           
           
             
                 
             
             
               (Embodiment 1) 
             
             
               f (focal length) = 3.86 mm, Fno = 2.85, HFOV (half of field of view) = 31.5 deg. 
             
           
        
         
             
                 
                 
               Curvature 
                 
                 
                 
                 
               Focal 
             
             
               Surface # 
                 
               Radius 
               Thickness 
               Material 
               Index 
               Abbe # 
               length 
             
             
                 
             
           
        
         
             
               0 
               Object 
               Plano 
               Infinity 
                 
                 
                 
                 
             
             
               1 
               Ape. Stop 
               Plano 
               −0.203 
             
             
               2 
               Lens 1 
                 1.11755 (ASP) 
               0.705 
               Plastic 
               1.543 
               60.3 
               3.39 
             
             
               3 
                 
                 2.18880 (ASP) 
               0.968 
             
             
               4 
               Lens 2 
               −11.06030 (ASP) 
               1.348 
               Plastic 
               1.583 
               30.2 
               −13.59 
             
             
               5 
                 
                30.22120 (ASP) 
               0.050 
             
             
               6 
               IR-filter 
               Plano 
               0.300 
               Glass 
               1.517 
               64.2 
               — 
             
             
               7 
                 
               Plano 
               0.050 
             
             
               8 
               Cover 
               Plano 
               0.400 
               Glass 
               1.517 
               64.2 
               — 
             
             
                 
               Glass 
             
             
               9 
                 
               Plano 
               0.510 
             
             
               10 
               Image 
               Plano 
             
             
                 
             
           
        
       
     
   
   
     
       
             
           
             
             
           
             
             
             
             
             
           
             
             
             
             
           
         
             
               TABLE 6 
             
           
           
             
                 
             
             
               Aspheric Coefficients 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
               2  
               3 
               4 
               5 
             
             
                 
                 
             
           
        
         
             
                K = −1.86029E+00 
               −7.79107E+01 
               −4.79706E+02 
               −5.00000E+02 
             
             
                A4 = 1.23693E−01 
                 9.41999E−01 
               −2.40343E−01 
               −1.03600E−02 
             
             
                A6 = 5.52955E−01 
               −3.60909E+00 
                 4.04849E−01 
               −7.11842E−02 
             
             
                A8 = −1.85918E+00 
                 1.27055E+01 
               −1.23228E+00 
                 6.21543E−02 
             
             
               A10 = 3.37155E+00 
               −2.33371E+01 
                 1.66319E+00 
               −3.07549E−02 
             
             
               A12 = −2.17281E+00 
                 1.87936E+01 
               −9.27959E−01 
                 7.80934E−03 
             
             
               A14 =   — 
               — 
               — 
               −8.33706E−04 
             
             
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
           
             
             
             
             
           
         
             
                 
               TABLE 7 
             
             
                 
                 
             
             
                 
               Embodiment 1 
               Embodiment 2 
               Embodiment 3 
             
             
                 
                 
             
           
           
             
                 
             
           
        
         
             
               f 
               3.86 
               3.99 
               3.86 
             
             
               Fno 
               2.85 
               2.87 
               2.85 
             
             
               HFOV 
               31.5 
               30.7 
               31.5 
             
             
               f/EPD 
               2.85 
               2.87 
               2.85 
             
             
               f/f1 
               1.11 
               1.07 
               1.12 
             
             
               f/f2 
               −0.24 
               −0.21 
               −0.28 
             
             
               R1/R2 
               0.52 
               0.59 
               0.51 
             
             
               R3/R4 
               −0.24 
               −2.24 
               −0.37 
             
             
               N1 
               1.543 
               1.543 
               1.543 
             
             
               |V1 − V2| 
               0.0 
               0.0 
               30.1 
             
             
               V2 
               60.3 
               60.3 
               30.2 
             
             
               CT2 
               1.385 
               1.188 
               1.348 
             
             
               T12/f 
               0.24 
               0.28 
               0.25 
             
             
               ANG22 
               −70.4 
               −63.7 
               −69.1 
             
             
               TL/ImgH 
               1.81 
               1.82 
               1.81 
             
             
                 
             
           
        
       
     
   
   It is noted that the tables 1-6 show different data of the different embodiments, however, the data of the different embodiments is obtained from experiments. Therefore, any product of the same structure is considered to be within the scope of the present invention even if it uses different data. Table 7 is the data relevant to the respective embodiments of the present invention. 
   While we have shown and described various embodiments in accordance with the present invention, it is clear to those skilled in the art that further embodiments may be made without departing from the scope of the present invention.