Abstract:
An optical lens system for taking image comprises, in order from the object side to the image side: a first lens element with positive refractive power; a second lens element with negative refractive power; a third lens element with negative refractive power having a convex object-side surface and a concave image-side surface; a fourth lens element with negative refractive power being provided with at least one aspheric surface. In the optical lens system for taking image, the number of lens elements with refractive power is limited to four. Such arrangements can reduce the volume and the sensitivity of the optical lens system while providing higher resolution.

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 a miniaturized 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 the mobile phone camera, the optical lens system for taking image has become thinner and thinner, and the electronic imaging sensor of a general digital camera is typically a CCD (Charge Coupled Device) or CMOS (Complementary Metal Oxide Semiconductor) sensor. Due to advances in semiconductor manufacturing, the pixel size of sensors has been reduced continuously, and miniaturized optical lens systems for taking image have increasingly higher resolution. Therefore, there&#39;s increasing demand for image quality. 
   A conventional mobile phone camera usually consists of three lens elements: from the object side to the image side: a first lens element with positive refractive power, a second lens element with negative refractive power and a third lens element with positive refractive power, such as the optical lens system for taking image described in U.S. Pat. No. 7,145,736. 
   As the pixel size of electronic imaging sensors gradually becomes smaller and smaller, the system requires higher image quality. The conventional optical lens system comprising three lens elements cannot satisfy the requirements of higher resolution optical lens systems. 
   U.S. Pat. No. 7,365,920 discloses a four-piece lens assembly, in which the first lens element and the second lens element, both glass spherical lens elements, are bonded to each other to form a doublet lens element for eliminating chromatic aberration. However, it suffers from the following disadvantages: the degree of freedom available in the optical system is insufficient since there are too many glass spherical lens elements, making it difficult to reduce the length of the optical system; and the manufacturing difficulty is increased due to the difficult process of bonding the glass lens elements. 
   The present invention mitigates and/or obviates the afore-mentioned disadvantages. 
   SUMMARY OF THE INVENTION 
   The primary objective of the present invention is to provide an optical lens system for taking image comprising four lens elements to improve image quality, and effectively reduce the volume of the optical lens system. 
   An optical lens system for taking image in accordance with the present invention comprises: in order from the object side to the image side: a first lens element with positive refractive power; a second lens element with negative refractive power; a third lens element with negative refractive power having a convex object-side surface and a concave image-side surface; a fourth lens element with negative refractive power being provided with at least one aspheric surface. In the optical lens system for taking image, the number of lens elements with refractive power is limited to four. Such lens arrangements can effectively improve image quality. 
   In the present optical lens system for taking image, the refractive power of the system is mainly provided by the first lens element with positive refractive power. The second lens element with negative refractive power mainly serves to correct the chromatic aberration. The third lens element and the fourth lens element serve as correction lens elements to balance and correct various aberrations caused by the optical lens system. In addition, the third lens element and the fourth lens element are negative so that the principal point of the system will be far away from the image plane, so that the total track length of the optical lens system will be effectively reduced. 
   The first lens element provides a strong positive refractive power, and the aperture stop is located close to the object side, so that the total track length of the optical lens system can be effectively reduced, and 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 current solid-state sensors, since they are more sensitive when the light is incident at a small angle. This also reduces the probability of the occurrence of shading. The inflection points formed on the third lens element and the fourth lens element will contribute to a better correction of the incident angle of the off axis light with respect to the sensor. 
   In addition, in wide angle optical systems, it is especially necessary to correct the distortion and the chromatic aberration of magnification, and this can be solved by locating the aperture stop at the balance point of the refractive power of the system. In the present optical lens system for taking image, if the aperture stop is located in front of the first lens element, the telecentric feature of the optical lens system becomes emphasized, the total track length of the optical lens system will become shorter. If the aperture stop is located between the first and second lens elements, the wide field of view becomes emphasized, and the optical system is less sensitive as well. 
   With the trend of miniaturization of the optical lens system and the requirement of increasing the field of view, the focal length of the optical lens system is becoming very short. Therefore, the radius of curvature and the size of the lens elements must be very small, and it is difficult to make such glass lens elements by the use of conventional grinding. Plastic material is introduced to make lens elements by injection molding, using a relatively low cost to produce high precision lens elements. The lens elements are provided with aspheric surfaces, allowing more design parameters (than spherical surfaces), so as to better reduce the aberration and the number of the lens elements, thus effectively reducing the total track length of the optical lens system. 
   According to one aspect of the present invention, in the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the focal length of the third lens element is f3, and they satisfy the relation:
 
| f/f 3|&lt;0.5.
 
   If f/f3 satisfies the above relation, the third lens element serves as a correction lens element to balance and correct various aberration caused by the optical lens system, it will be favorable to correct the astigmatism and the distortion caused by the optical lens system, improving the resolution of the optical lens system. Further, it will be better if f/f3 satisfies the relation:
 
| f/f 3|&lt;0.2.
 
   According to another aspect of the present invention, in the present optical lens system for taking image, the Abbe number of the first lens element is V1, the Abbe number of the second lens element is V2, and they satisfy the relation:
 
25.2 &lt;V 1 −V 2&lt;35.0.
 
   If V1 and V2 satisfy the above relation, the chromatic aberration of the optical lens system can be effectively corrected, improving the image quality of the optical lens system. Further, it will be better if V1 and V2 satisfy the relations:
 
30.6 &lt;V 1 −V 2&lt;34.0;
 
V2&lt;25.0.
 
   According to another aspect of the present invention, in the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the on-axis distance between the second lens element and the third lens element is T23, and they satisfy the relation:
 
( T 23 /f )*100&gt;3.5.
 
   If T23/f satisfies the above relation, it will be favorable to correct the high order aberrations of the system. 
   According to another aspect of the present invention, in the present optical lens system for taking image, the inflection points formed on the object-side surface of the second lens element can effectively correct the off-axis aberration of the system. 
   According to another aspect of the present invention, in the present optical lens system for taking image, the radius of curvature of the object-side surface of the second lens element is R3, the radius of curvature of the image-side surface of the second lens element is R4, and they satisfy the relation:
 
 R 3 /R 4&gt;3.0.
 
   If the value of R3/R4 is smaller than the above lower limit, it will be difficult to correct the chromatic aberration caused by the system. 
   According to another aspect of the present invention, in the present optical lens system for taking image, the on-axis distance between the first lens element and the second lens element is T12, the focal length of the optical lens system for taking image is f, and they satisfy the relation:
 
0.6&lt;( T 12 /f )*100&lt;5.0.
 
   If T12/f satisfies the above relation, it can allow better correction of the high order aberrations of the system. 
   According to another aspect of the present invention, in the present optical lens system for taking image, the refractive index of the first lens element is N1, and it satisfies the relation:
 
1.50&lt;N1&lt;1.58.
 
   If N1 satisfies the above relation, the plastic optical material with the refractive index within the above range will better match the optical lens system. 
   According to another aspect of the present invention, in the present optical lens system for taking image, the radius of curvature of the object-side surface of the third lens element is R5, the radius of curvature of the image-side surface of the third lens element is R6, the radius of curvature of the object-side surface of the fourth lens element is R7, the radius of curvature of the image-side surface of the fourth lens element is R8, and they satisfy the relations:
 
1.1&lt; R 5 /R 6&lt;1.3;
 
1.1&lt; R 7 /R 8&lt;1.3.
 
   If R5/R6 and R7/R8 satisfy the above relations, the third lens element and the fourth lens element serve as correction lens elements to correct the high order aberrations of the system, improving the image quality of the optical lens system. 
   According to another aspect of the present invention, in the present optical lens system for taking image, an object to be photographed is imaged on an electronic imaging sensor, the total track length of the system is TTL, the image height of the system is Imgh, and they satisfy the relation:
 
 TTL/ImgH&lt; 1.95.
 
   The above relation can maintain the objective of miniaturization of the optical lens system for taking image. 

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

   DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
   Referring to  FIG. 1A , which shows an optical lens system for taking image in accordance with a first embodiment of the present invention, and  FIG. 1B  shows the aberration curves of the first embodiment of the present invention. An optical lens system for taking image in accordance with the first embodiment of the present invention comprises: in order 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 convex 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 inflection points are formed on the object-side surface  21  of the second lens element  20 . 
   A plastic third lens element  30  with negative refractive power has a convex object-side surface  31  and a concave image-side surface  32 , the object-side surface  31  and the image-side surface  32  of the third lens element  30  are aspheric, and inflection points are formed on the object-side surface  31  and the image-side surface  32  of the third lens element  30 . 
   A plastic fourth lens element  40  with negative refractive power has a convex object-side surface  41  and a concave image-side surface  42 , the object-side surface  41  and the image-side surface  42  of the fourth lens element  40  are aspheric, and inflection points are formed on the object-side surface  41  and the image-side surface  42  of the fourth lens element  40 . 
   An aperture stop  50 . 
   An IR cut filter  60  is located behind the fourth lens element  40  and has no influence on the focal length of the optical lens system. 
   An image plane  70  is located behind the IR cut filter  60 . 
   The equation for the aspheric surface profiles of the first embodiment is expressed as follows: 
   
     
       
         
           
             X 
             ⁡ 
             
               ( 
               Y 
               ) 
             
           
           = 
           
             
               
                 ( 
                 
                   
                     Y 
                     2 
                   
                   ⁢ 
                   
                     / 
                   
                   ⁢ 
                   R 
                 
                 ) 
               
               ⁢ 
               
                 / 
               
               ⁢ 
               
                 ( 
                 
                   1 
                   + 
                   
                     sqrt 
                     ⁡ 
                     
                       ( 
                       
                         1 
                         - 
                         
                           
                             ( 
                             
                               1 
                               + 
                               k 
                             
                             ) 
                           
                           * 
                           
                             
                               ( 
                               
                                 Y 
                                 ⁢ 
                                 
                                   / 
                                 
                                 ⁢ 
                                 R 
                               
                               ) 
                             
                             2 
                           
                         
                       
                       ) 
                     
                   
                 
                 ) 
               
             
             + 
             
               
                 ∑ 
                 i 
               
               ⁢ 
               
                   
               
               ⁢ 
               
                 
                   ( 
                   Ai 
                   ) 
                 
                 * 
                 
                   ( 
                   
                     Y 
                     i 
                   
                   ) 
                 
               
             
           
         
       
     
   
   wherein: 
   X: the height of a point on the aspheric lens surface at a distance Y from the optical axis relative to the tangential plane at 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 aspheric surface coefficient of order i. 
   In the first embodiment of the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the focal length of the third lens element is f3, and they satisfy the relations:
 
f=3.67 mm;
 
| f/f 3|=0.05.
 
   In the first embodiment of the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the on-axis distance between the first lens element and the second lens element is T12, the on-axis distance between the second lens element and the third lens element is T23, and they satisfy the relations:
 
( T 12 /f )*100=2.0
 
( T 23 /f )*100=18.6.
 
   In the first embodiment of the present optical lens system for taking image, the refractive index of the first lens element is N1, and it satisfies the relation:
 
N1=1.544.
 
   In the first embodiment of the present optical lens system for taking image, the Abbe number of the first lens element is V1, the Abbe number of the second lens element is V2, and they satisfy the relations:
 
V2=23.4;
 
 V 1 −V 2=32.5.
 
   In the first embodiment of the present optical lens system for taking image, the radius of curvature of the object-side surface of the second lens element is R3, the radius of curvature of the image-side surface of the second lens element is R4, the radius of curvature of the object-side surface of the third lens element is R5, the radius of curvature of the image-side surface of the third lens element is R6, the radius of curvature of the object-side surface of the fourth lens element is R7, the radius of curvature of the image-side surface of the fourth lens element is R8, and they satisfy the relations:
 
 R 3 /R 4=14.52;
 
 R 5 /R 6=1.16;
 
 R 7 /R 8=1.22.
 
   In the first embodiment of the present optical lens system for taking image, an object to be photographed is imaged on an electronic imaging sensor, the total track length of the system is TTL, the image height of the system is Imgh, and they satisfy the relation:
 
 TTL/ImgH= 1.76.
 
   The detailed optical data of the first embodiment 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) = 3.67 mm, Fno = 2.8, HFOV (half of field of view) = 33.0 deg. 
             
           
        
         
             
                 
                 
               Curvature 
                 
                 
                 
                 
               Focal 
             
             
               Surface # 
                 
               Radius 
               Thickness 
               Material 
               Index 
               Abbe # 
               length 
             
             
                 
             
           
        
         
             
               0 
               Object 
               Plano 
               Infinity 
                 
                 
                 
                 
             
             
               1 
               Aperture 
               Plano 
               −0.079 
             
             
                 
               Stop 
             
             
               2 
               Lens 1 
                1.51538(ASP) 
               0.527 
               Plastic 
               1.544 
               55.9 
               2.86 
             
             
               3 
                 
               50.00000(ASP) 
               0.073 
             
             
               4 
               Lens 2 
               50.00000(ASP) 
               0.580 
               Plastic 
               1.632 
               23.4 
               −5.88 
             
             
               5 
                 
                3.44250(ASP) 
               0.684 
             
             
               6 
               Lens 3 
                3.81180(ASP) 
               0.599 
               Plastic 
               1.544 
               55.9 
               −73.42 
             
             
               7 
                 
                3.28710(ASP) 
               0.252 
             
             
               8 
               Lens 4 
                1.23700(ASP) 
               0.556 
               Plastic 
               1.514 
               56.8 
               −72.42 
             
             
               9 
                 
                1.01460(ASP) 
               0.300 
             
             
               10 
               IR-filter 
               Plano 
               0.300 
               Glass 
               1.517 
               64.2 
             
             
               11 
                 
               Plano 
               0.386 
             
             
               12 
               Image 
               Plano 
             
             
                 
             
           
        
       
     
   
   
     
       
             
           
             
             
           
             
             
             
             
             
             
           
             
             
           
             
             
             
             
             
           
         
             
               TABLE 2 
             
             
                 
             
             
               Aspheric Coefficients 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
               2 
               3 
               4 
               5 
               7 
             
             
                 
             
             
               k = 
               −5.13663E+00 
               −1.00000E+00 
               −1.00000E+00 
               −4.39965E+00 
               −1.00000E+02 
             
             
               A4 = 
               1.53617E−01 
               −3.12081E−01 
               −3.16152E−01 
               −4.39472E−02 
               −8.35248E−02 
             
             
               A6 = 
               −1.27962E−01 
               1.91343E−01 
               3.63725E−01 
               1.54627E−01 
               5.44434E−02 
             
             
               A8 = 
               1.08041E−01 
               1.00841E−01 
               −1.11663E−01 
               −5.92434E−02 
               −2.52417E−02 
             
             
               A10 = 
               −3.39184E−01 
               −1.40160E−01 
               2.42472E−01 
               8.60832E−02 
               −5.15593E−03 
             
             
               A12 = 
               1.45082E−01 
               −2.42513E−02 
               4.37432E−02 
               2.94293E−02 
               3.35439E−03 
             
             
               A14 = 
               1.64510E−01 
               8.19930E−02 
               −4.35646E−02 
               −2.37080E−03 
               −3.92832E−04 
             
             
               A16 = 
               1.96686E−01 
               3.33814E−01 
               −1.85699E−01 
               −4.22691E−02 
             
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
                 
               6 
               8 
               9 
             
             
                 
                 
             
             
                 
               k = 
               4.30199E+00 
               −1.22186E+00 
               −3.14835E+00 
             
             
                 
               A1 = 
             
             
                 
               A2 = 
             
             
                 
               A3 = 
             
             
                 
               A4 = 
               −4.60552E−02 
               −6.80733E−01 
               −2.98953E−01 
             
             
                 
               A5 = 
             
             
                 
               A6 = 
               −6.57535E−02 
               5.56282E−01 
               2.30102E−01 
             
             
                 
               A7 = 
             
             
                 
               A8 = 
               6.11730E−02 
               −3.46545E−01 
               −1.16085E−01 
             
             
                 
               A9 = 
             
             
                 
               A10 = 
               −4.21537E−02 
               1.23560E−01 
               3.08330E−02 
             
             
                 
               A11 = 
             
             
                 
               A12 = 
                 
               −1.95882E−02 
               −3.94254E−03 
             
             
                 
               A13 = 
             
             
                 
               A14 = 
                 
               8.25495E−04 
               1.90488E−04 
             
             
                 
                 
             
           
        
       
     
   
   Referring to  FIG. 2A , which shows an optical lens system for taking image in accordance with a second embodiment of the present invention, and  FIG. 2B  shows the aberration curves of the second embodiment of the present invention. The second embodiment of the present invention comprises: in order 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 convex 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 convex image-side surface  22 , the object-side surface  21  and the image-side surface  22  of the second lens element  20  are aspheric, and inflection points are formed on the object-side surface  21  of the second lens element  20 . 
   A plastic third lens element  30  with negative refractive power has a convex object-side surface  31  and a concave image-side surface  32 , the object-side surface  31  and the image-side surface  32  of the third lens element  30  are aspheric, and inflection points are formed on the object-side surface  31  and the image-side surface  32  of the third lens element  30 . 
   A plastic fourth lens element  40  with negative refractive power has a convex object-side surface  41  and a concave image-side surface  42 , the object-side surface  41  and the image-side surface  42  of the fourth lens element  40  are aspheric, and inflection points are formed on the object-side surface  41  and the image-side surface  42  of the fourth lens element  40 . 
   An aperture stop  50 . 
   An IR cut filter  60  is located behind the fourth lens element  40  and has no influence on the focal length of the optical lens system. 
   An image plane  70  is located behind the IR cut filter  60 . 
   The equation for the aspheric surface profiles 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 optical lens system for taking image is f, the focal length of the third lens element is f3, and they satisfy the relations:
 
f=3.36 mm;
 
| f/f 3|=0.10.
 
   In the second embodiment of the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the on-axis distance between the first lens element and the second lens element is T12, the on-axis distance between the second lens element and the third lens element is T23, and they satisfy the relations:
 
( T 12 /f )*100=8.5
 
( T 23 /f )*100=13.2.
 
   In the second embodiment of the present optical lens system for taking image, the refractive index of the first lens element is N1, and it satisfies the relation:
 
N1=1.544.
 
   In the second embodiment of the present optical lens system for taking image, the Abbe number of the first lens element is V1, the Abbe number of the second lens element is V2, and they satisfy the relations:
 
V2=23.4;
 
 V 1 −V 2=32.5.
 
   In the second embodiment of the present optical lens system for taking image, the radius of curvature of the object-side surface of the second lens element is R3, the radius of curvature of the image-side surface of the second lens element is R4, the radius of curvature of the object-side surface of the third lens element is R5, the radius of curvature of the image-side surface of the third lens element is R6, the radius of curvature of the object-side surface of the fourth lens element is R7, the radius of curvature of the image-side surface of the fourth lens element is R8, and they satisfy the relations:
 
 R 3 /R 4=0.50;
 
 R 5 /R 6=1.24;
 
 R 7 /R 8=1.21.
 
   In the second embodiment of the present optical lens system for taking image, an object to be photographed is imaged on an electronic imaging sensor, the total track length of the system is TTL, the image height of the system is Imgh, and they satisfy the relation:
 
 TTL/ImgH= 1.66.
 
   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 2) 
             
             
               f(focal length = 3.36 mm, Fno = 2.45, HFOV (half of field of view) = 35.5 deg. 
             
           
        
         
             
                 
                 
               Curvature 
                 
                 
                 
                 
               Focal 
             
             
               Surface # 
                 
               Radius 
               Thickness 
               Material 
               Index 
               Abbe # 
               length 
             
             
                 
             
           
        
         
             
               0 
               Object 
               Plano 
               Infinity 
                 
                 
                 
                 
             
             
               1 
               Aperture 
               Plano 
               −0.060   
             
             
                 
               Stop 
             
             
               2 
               Lens 1 
                 1.54484(ASP) 
               0.627 
               Plastic 
               1.544 
               55.9 
               2.27 
             
             
               3 
                 
               −5.29770(ASP) 
               0.284 
             
             
               4 
               Lens 2 
               −1.39141(ASP) 
               0.500 
               Plastic 
               1.632 
               23.4 
               −5.14 
             
             
               5 
                 
               −2.77443(ASP) 
               0.442 
             
             
               6 
               Lens 3 
                 2.72988(ASP) 
               0.523 
               Plastic 
               1.530 
               55.8 
               −33.27 
             
             
               7 
                 
                 2.20703(ASP) 
               0.257 
             
             
               8 
               Lens 4 
                 1.13726(ASP) 
               0.399 
               Plastic 
               1.544 
               55.9 
               −33.16 
             
             
               9 
                 
                 0.93756(ASP) 
               0.300 
             
             
               10 
               IR-filter 
               Plano 
               0.300 
               Glass 
               1.517 
               64.2 
             
             
               11 
                 
               Plano 
               0.392 
             
             
               12 
               Image 
               Plano 
             
             
                 
             
           
        
       
     
   
   
     
       
             
           
             
             
           
             
             
             
             
             
             
           
             
             
           
             
             
             
             
             
           
         
             
               TABLE 4 
             
             
                 
             
             
               Aspheric Coefficients 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
               2 
               3 
               4 
               5 
               7 
             
             
                 
             
             
               k = 
               −5.53255E+00 
               6.38809E+00 
               1.21884E+00 
               5.42590E+00 
               −3.01061E+01 
             
             
               A4 = 
               1.28420E−01 
               −1.79386E−01 
               −5.35538E−02 
               −3.77510E−03 
               6.84213E−03 
             
             
               A6 = 
               −2.01356E−01 
               −1.42295E−01 
               5.01720E−01 
               3.50685E−01 
               −3.04665E−02 
             
             
               A8 = 
               1.81403E−01 
               −4.44714E−02 
               −6.47578E−01 
               −2.21828E−01 
               1.43383E−02 
             
             
               A10 = 
               −6.01302E−01 
               −2.25945E−02 
               7.63205E−01 
               1.76997E−01 
               −9.40929E−03 
             
             
               A12 = 
                 
                 
                 
                 
               2.60630E−03 
             
             
               A14 = 
                 
                 
                 
                 
               −2.58440E−04 
             
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
                 
               6 
               8 
               9 
             
             
                 
                 
             
             
                 
               k = 
               −7.89116E−01 
               −1.56630E+00 
               −3.40421E+00 
             
             
                 
               A1 = 
             
             
                 
               A2 = 
             
             
                 
               A3 = 
             
             
                 
               A4 = 
               −1.23612E−01 
               −6.35756E−01 
               −3.09660E−01 
             
             
                 
               A5 = 
             
             
                 
               A6 = 
               3.60447E−02 
               5.72114E−01 
               2.36697E−01 
             
             
                 
               A7 = 
             
             
                 
               A8 = 
               −1.68977E−02 
               −3.55406E−01 
               −1.19986E−01 
             
             
                 
               A9 = 
             
             
                 
               A10 = 
               −8.36898E−03 
               1.20839E−01 
               3.04869E−02 
             
             
                 
               A11 = 
             
             
                 
               A12 = 
                 
               −1.97397E−02 
               −3.78247E−03 
             
             
                 
               A13 = 
             
             
                 
               A14 = 
                 
               1.22445E−03 
               2.04583E−04 
             
             
                 
                 
             
           
        
       
     
   
   Referring to  FIG. 3A , which shows an optical lens system for taking image in accordance with a third embodiment of the present invention,  FIG. 3B  shows the aberration curves of the third embodiment of the present invention. The third embodiment of the present invention comprises: in order 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 convex image-side surface  22 , and the object-side surface  21  and the image-side surface  22  of the second lens element  20  are aspheric. 
   A plastic third lens element  30  with negative refractive power has a convex object-side surface  31  and a concave image-side surface  32 , the object-side surface  31  and the image-side surface  32  of the third lens element  30  are aspheric, and inflection points are formed on the object-side surface  31  and the image-side surface  32  of the third lens element  30 . 
   A plastic fourth lens element  40  with negative refractive power has a convex object-side surface  41  and a concave image-side surface  42 , the object-side surface  41  and the image-side surface  42  of the fourth lens element  40  are aspheric, and inflection points are formed on the object-side surface  41  and the image-side surface  42  of the fourth lens element  40 . 
   An aperture stop  50  is located between the first lens element  10  and the second lens element  20 . 
   An IR cut filter  60  is located behind the fourth lens element  40  and has no influence on the focal length of the optical lens system. 
   An image plane  70  is located behind the IR cut filter  60 . 
   The equation for the aspheric surface profiles 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 optical lens system for taking image is f, the focal length of the third lens element is f3, and they satisfy the relations:
 
f=3.34 mm;
 
| f/f 3|=0.05.
 
   In the third embodiment of the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the on-axis distance between the first lens element and the second lens element is T12, the on-axis distance between the second lens element and the third lens element is T23, and they satisfy the relations:
 
( T 12 /f )*100=11.1;
 
( T 23 /f )*100=14.9.
 
   In the third embodiment of the present optical lens system for taking image, the refractive index of the first lens element is N1, and it satisfies the relation:
 
N1=1.544.
 
   In the third embodiment of the present optical lens system for taking image, the Abbe number of the first lens element is V1, the Abbe number of the second lens element is V2, and they satisfy the relations:
 
V2=30.2;
 
 V 1 −V 2=25.7.
 
   In the third embodiment of the present optical lens system for taking image, the radius of curvature of the object-side surface of the second lens element is R3, the radius of curvature of the image-side surface of the second lens element is R4, the radius of curvature of the object-side surface of the third lens element is R5, the radius of curvature of the image-side surface of the third lens element is R6, the radius of curvature of the object-side surface of the fourth lens element is R7, the radius of curvature of the image-side surface of the fourth lens element is R8, and they satisfy the relations:
 
 R 3 /R 4=0.65;
 
 R 5 /R 6=1.13;
 
 R 7 /R 8=1.18.
 
   In the third embodiment of the present optical lens system for taking image, an object to be photographed is imaged on an electronic imaging sensor, the total track length of the system is TTL, the image height of the system is Imgh, and they satisfy the relation:
 
 TTL/ImgH= 1.63.
 
   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 3) 
             
             
               f(focal length = 3.34 mm, Fno = 2.45, HFOV (half of field of view) = 35.8 deg. 
             
           
        
         
             
                 
                 
               Curvature 
                 
                 
                 
                 
               Focal 
             
             
               Surface # 
                 
               Radius 
               Thickness 
               Material 
               Index 
               Abbe # 
               length 
             
             
                 
             
           
        
         
             
               0 
               Object 
               Plano 
               Infinity 
                 
                 
                 
                 
             
             
               1 
               Lens 1 
                1.43006(ASP) 
               0.491 
               Plastic 
               1.544 
               55.9 
               2.73 
             
             
               2 
                 
               33.33330(ASP) 
               0.004 
             
             
               3 
               Aperture 
               Plano 
               0.366 
             
             
                 
               Stop 
             
             
               4 
               Lens 2 
               −1.48914(ASP) 
               0.414 
               Plastic 
               1.583 
               30.2 
               −9.11 
             
             
               5 
                 
               −2.28042(ASP) 
               0.498 
             
             
               6 
               Lens 3 
                 2.06128(ASP) 
               0.372 
               Plastic 
               1.530 
               55.8 
               −65.88 
             
             
               7 
                 
                 1.82470(ASP) 
               0.377 
             
             
               8 
               Lens 4 
                 1.11987(ASP) 
               0.401 
               Plastic 
               1.530 
               55.8 
               −64.93 
             
             
               9 
                 
                 0.95005(ASP) 
               0.300 
             
             
               10 
               IR-filter 
               Plano 
               0.300 
               Glass 
               1.517 
               64.2 
             
             
               11 
                 
               Plano 
               0.422 
             
             
               12 
               Image 
               Plano 
             
             
                 
             
           
        
       
     
   
   
     
       
             
           
             
             
           
             
             
             
             
             
             
           
             
             
           
             
             
             
             
             
           
         
             
               TABLE 6 
             
             
                 
             
             
               Aspheric Coefficients 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
               1 
               2 
               4 
               5 
               7 
             
             
                 
             
             
               k = 
               −3.61827E+00 
               −1.00000E+00 
               2.34991E+00 
               4.80509E+00 
               −1.80143E+01 
             
             
               A4 = 
               1.42853E−01 
               −1.14092E−01 
               5.40654E−03 
               7.68887E−02 
               6.65340E−02 
             
             
               A6 = 
               −2.49310E−01 
               −2.67101E−02 
               4.55536E−01 
               1.45374E−01 
               −8.32263E−02 
             
             
               A8 = 
               4.64347E−01 
               −4.49494E−01 
               −5.82235E−01 
               1.35792E−01 
               2.92310E−02 
             
             
               A10 = 
               −7.09956E−01 
               3.85751E−01 
               1.03560E+00 
               9.32809E−02 
               −8.61967E−03 
             
             
               A12 = 
                 
                 
                 
                 
               1.66434E−03 
             
             
               A14 = 
                 
                 
                 
                 
               −2.18982E−04 
             
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
                 
               6 
               8 
               9 
             
             
                 
                 
             
             
                 
               k = 
               −3.21854E−02 
               −1.06356E+00 
               −3.47029E+00 
             
             
                 
               A1 = 
             
             
                 
               A2 = 
             
             
                 
               A3 = 
             
             
                 
               A4 = 
               −1.04877E−01 
               −6.32273E−01 
               −2.93822E−01 
             
             
                 
               A5 = 
             
             
                 
               A6 = 
               1.50127E−02 
               5.63406E−01 
               2.32183E−01 
             
             
                 
               A7 = 
             
             
                 
               A8 = 
               −2.79927E−02 
               −3.55078E−01 
               −1.20439E−01 
             
             
                 
               A9 = 
             
             
                 
               A10 = 
               1.07764E−02 
               1.21075E−01 
               3.04996E−02 
             
             
                 
               A11 = 
             
             
                 
               A12 = 
               −3.48241E−03 
               −1.97628E−02 
               −3.78366E−03 
             
             
                 
               A13 = 
             
             
                 
               A14 = 
                 
               1.22013E−03 
               2.21387E−04 
             
             
                 
                 
             
           
        
       
     
   
   Referring to  FIG. 4A , which shows an optical lens system for taking image in accordance with a fourth embodiment of the present invention,  FIG. 4B  shows the aberration curves of the fourth embodiment of the present invention. The fourth embodiment of the present invention comprises: in order 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 convex 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 convex 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 inflection points are formed on the object-side surface  21  of the second lens element  20 . 
   A plastic third lens element  30  with negative refractive power has a convex object-side surface  31  and a concave image-side surface  32 , the object-side surface  31  and the image-side surface  32  of the third lens element  30  are aspheric, and inflection points are formed on the object-side surface  31  and the image-side surface  32  of the third lens element  30 . 
   A plastic fourth lens element  40  with negative refractive power has a convex object-side surface  41  and a concave image-side surface  42 , the object-side surface  41  and the image-side surface  42  of the fourth lens element  40  are aspheric, and inflection points are formed on the object-side surface  41  and the image-side surface  42  of the fourth lens element  40 . 
   An aperture stop  50  is located between the first lens element  10  and the second lens element  20 . 
   An IR cut filter  60  is located behind the fourth lens element  40  and has no influence on the focal length of the optical lens system. 
   An image plane  70  is located behind the IR cut filter  60 . 
   The equation for the aspheric surface profiles of the fourth embodiment has the same form as that of the first embodiment. 
   In the fourth embodiment of the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the focal length of the third lens element is f3, and they satisfy the relations:
 
f=3.75 mm;
 
| f/f 3|=0.10.
 
   In the fourth embodiment of the present optical lens system for taking image, the focal length of the optical lens system for taking image is f, the on-axis distance between the first lens element and the second lens element is T12, the on-axis distance between the second lens element and the third lens element is T23, and they satisfy the relations:
 
( T 12 /f )*100=1.3
 
( T 23 /f )*100=17.8.
 
   In the fourth embodiment of the present optical lens system for taking image, the refractive index of the first lens element is N1, and it satisfies the relation:
 
N1=1.544.
 
   In the fourth embodiment of the present optical lens system for taking image, the Abbe number of the first lens element is V1, the Abbe number of the second lens element is V2, and they satisfy the relations:
 
V2=23.4;
 
 V 1 −V 2=32.5.
 
   In the fourth embodiment of the present optical lens system for taking image, the radius of curvature of the object-side surface of the second lens element is R3, the radius of curvature of the image-side surface of the second lens element is R4, the radius of curvature of the object-side surface of the third lens element is R5, the radius of curvature of the image-side surface of the third lens element is R6, the radius of curvature of the object-side surface of the fourth lens element is R7, the radius of curvature of the image-side surface of the fourth lens element is R8, and they satisfy the relations:
 
 R 3 /R 4=17.87;
 
 R 5 /R 6=1.22;
 
 R 7 /R 8=1.23.
 
   In the fourth embodiment of the present optical lens system for taking image, an object to be photographed is imaged on an electronic imaging sensor, the total track length of the system is TTL, the image height of the system is Imgh, and they satisfy the relation:
 
 TTL/ImgH= 1.75.
 
   The detailed optical data of the fourth embodiment is shown in table 7, and the aspheric surface data is shown in table 8, 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 7 
             
           
           
             
                 
             
             
               (Embodiment 4) 
             
             
               f(focal length) = 3.75 mm, Fno = 2.8, HFOV (half of field of view) = 32.5 deg. 
             
           
        
         
             
                 
                 
               Curvature 
                 
                 
                 
                 
               Focal 
             
             
               Surface # 
                 
               Radius 
               Thickness 
               Material 
               Index 
               Abbe # 
               length 
             
             
                 
             
           
        
         
             
               0 
               Object 
               Plano 
               Infinity 
                 
                 
                 
                 
             
             
               1 
               Lens 1 
                 1.64666(ASP) 
               0.490 
               Plastic 
               1.544 
               55.9 
               2.61 
             
             
               2 
                 
               −9.16500(ASP) 
               −0.026   
             
             
               3 
               Aperture 
               Plano 
               0.076 
             
             
                 
               Stop 
             
             
               4 
               Lens 2 
               50.00000(ASP) 
               0.733 
               Plastic 
               1.632 
               23.4 
               −4.72 
             
             
               5 
                 
                 2.79740(ASP) 
               0.666 
             
             
               6 
               Lens 3 
                 3.03410(ASP) 
               0.474 
               Plastic 
               1.544 
               55.9 
               −37.46 
             
             
               7 
                 
                 2.49560(ASP) 
               0.343 
             
             
               8 
               Lens 4 
                 1.36512(ASP) 
               0.512 
               Plastic 
               1.544 
               55.9 
               −37.25 
             
             
               9 
                 
                 1.10994(ASP) 
               0.300 
             
             
               10 
               IR-filter 
               Plano 
               0.300 
               Glass 
               1.517 
               64.2 
             
             
               11 
                 
               Plano 
               0.358 
             
             
               12 
               Image 
               Plano 
             
             
                 
             
           
        
       
     
   
   
     
       
             
           
             
             
           
             
             
             
             
             
             
           
             
             
           
             
             
             
             
             
           
         
             
               TABLE 8 
             
             
                 
             
             
               Aspheric Coefficients 
             
             
                 
             
           
           
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
               1 
               2 
               4 
               5 
               7 
             
             
                 
             
             
               k = 
               −7.41945E+00 
               −1.00000E+00 
               −1.00000E+00 
               −7.47594E+00 
               −5.00000E+01 
             
             
               A4 = 
               1.40023E−01 
               −2.84203E−01 
               −2.00112E−01 
               5.80191E−02 
               6.00068E−02 
             
             
               A6 = 
               −2.15228E−01 
               2.80117E−01 
               3.93072E−01 
               5.50929E−02 
               −8.20842E−02 
             
             
               A8 = 
               −1.66631E−02 
               4.53042E−02 
               6.98231E−02 
               6.02792E−02 
               2.65167E−02 
             
             
               A10 = 
               −3.70623E−03 
               −2.99683E−01 
               −2.59688E−01 
               1.23563E−01 
               −8.74730E−03 
             
             
               A12 = 
                 
                 
                 
               −2.98268E−01 
               2.38291E−03 
             
             
               A14 = 
                 
                 
                 
               1.96156E−01 
               −4.01475E−04 
             
             
               A16 = 
                 
                 
                 
                 
               −2.70353E−05 
             
             
                 
             
           
        
         
             
                 
               Surface # 
             
           
        
         
             
                 
                 
               6 
               8 
               9 
             
             
                 
                 
             
             
                 
               k = 
               1.13153E+00 
               −7.97350E−01 
               −3.87796E+00 
             
             
                 
               A1 = 
             
             
                 
               A2 = 
             
             
                 
               A3 = 
             
             
                 
               A4 = 
               −5.87055E−02 
               −5.95051E−01 
               −2.83270E−01 
             
             
                 
               A5 = 
             
             
                 
               A6 = 
               −3.03233E−02 
               5.41886E−01 
               2.26263E−01 
             
             
                 
               A7 = 
             
             
                 
               A8 = 
               −2.71474E−02 
               −3.55590E−01 
               −1.17136E−01 
             
             
                 
               A9 = 
             
             
                 
               A10 = 
               2.89742E−02 
               1.22235E−01 
               3.04097E−02 
             
             
                 
               A11 = 
             
             
                 
               A12 = 
               −1.55168E−02 
               −1.94964E−02 
               −3.95892E−03 
             
             
                 
               A13 = 
             
             
                 
               A14 = 
                 
               1.12350E−03 
               2.28758E−04 
             
             
                 
                 
             
           
        
       
     
   
   
     
       
             
             
             
             
             
           
             
             
             
             
             
           
         
             
                 
               TABLE 9 
             
             
                 
                 
             
             
                 
               Embodiment 
               Embodiment 
               Embodiment 
               Embodiment 
             
             
                 
               1 
               2 
               3 
               4 
             
             
                 
                 
             
           
           
             
                 
             
           
        
         
             
               f 
               3.67 
               3.36 
               3.34 
               3.75 
             
             
               Fno 
               2.8 
               2.5 
               2.5 
               2.8 
             
             
               HFOV 
               33.0 
               35.5 
               35.8 
               32.5 
             
             
               V2 
               23.4 
               23.4 
               30.2 
               23.4 
             
             
               V1-V2 
               32.5 
               32.5 
               25.7 
               32.5 
             
             
               N1 
               1.544 
               1.544 
               1.544 
               1.544 
             
             
               (T12/f) * 100 
               2.0 
               8.5 
               11.1 
               1.3 
             
             
               (T23/f) * 100 
               18.6 
               13.2 
               14.9 
               17.8 
             
             
               |f/f3| 
               0.05 
               0.10 
               0.05 
               0.10 
             
             
               R3/R4 
               14.52 
               0.50 
               0.65 
               17.87 
             
             
               R5/R6 
               1.16 
               1.24 
               1.13 
               1.22 
             
             
               R7/R8 
               1.22 
               1.21 
               1.18 
               1.23 
             
             
               TTL/ImgH 
               1.76 
               1.66 
               1.63 
               1.75 
             
             
                 
             
           
        
       
     
   
   In the present optical lens system for taking image, the lens elements can be made of glass or plastic. If the lens elements are made of glass, the freedom of distributing the refractive power of the optical lens system will be improved. If the lens elements are made of plastic, the cost will be effectively reduced. 
   It is to be noted that the tables 1-8 show different data from the different embodiments, however, the data of the different embodiments is obtained from experiments. Therefore, any product of the same structure is deemed to be within the scope of the present invention even if it uses different data. Table 9 lists the relevant data for the various 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.