Abstract:
An optical system for taking image comprises three lens elements with refractive power, wherein a first lens element with positive refractive power includes at least one aspheric surface, a second lens element with negative refractive power, and a third lens element with negative refractive power includes at least one aspheric surface, which are mounted orderly from the object side to the image side. By such arrangements, the volume of the lens assembly can be reduced, and can obtain high resolution.

Description:
[0001]    This application is a divisional application of U.S. patent application Ser. No. 11/558,991, which claims the benefit of the earlier filing date of Nov. 13, 2006. Claim  1  of this application is a combination of previous Claims 1, 22 of the U.S. patent application Ser. No. 11/558,991, claims  2 - 15  of this application correspond to the previous Claims 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 23, 24 of the U.S. patent application Ser. No. 11/558,991, and Claim  15  of this application is a combination of the previous Claims. 1, 4, 5, 22 of the U.S. patent application Ser. No. 11/558,991, and Claims  16  and  17  of this application correspond to the previous Claims 8 and 13 of the U.S. patent application Ser. No. 11/558,991. 
     
    
     BACKGROUND OF THE INVENTION 
       [0002]    1. Field of the Invention 
         [0003]    The present invention relates to an optical system, and more particularly to a miniaturized optical system for taking image used in a camera mobile phone. 
         [0004]    2. Description of the Prior Art 
         [0005]    In recent years, with the popularity of camera mobile phone, the optical system for taking image has been becoming thinner and thinner, and the photosensitive assembly of a general digital camera is nothing more than CCD (charge coupled device) or CMOS (Complementary Metal Oxide Semiconductor). Due to the advancement of the semiconductor technique, the pixel size of photosensitive assembly has been being reduced continuously, and the development of the miniaturized optical system for taking image is toward the high resolution field. Therefore, the demand for the image quality becomes increasingly urgent. 
         [0006]    A conventional mobile phone&#39;s lens assembly usually consists of three lenses: 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, thus forming the so-called type of Triplet. Although such type of triplet can correct most of the aberration produced by the system, and the field of view is quite extensive, the demand for the total optical height is bigger. Thereby the demand for the conventional structure is bigger, which is inapplicable to a more miniaturized optical system for taking image. 
         [0007]    The present invention has arisen to mitigate and/or obviate the afore-described disadvantages. 
       SUMMARY OF THE INVENTION 
       [0008]    The primary objective of the present invention is to improve the image quality of the optical system and effectively reduce the size of the lens assembly, the present invention provides a whole new three-lens type optical system. 
         [0009]    An optical system for taking image in accordance with the present invention comprises: from the object side to the image side: 
         [0010]    a first lens element with positive refractive power being provided with at least one aspheric surface; 
         [0011]    a second lens element with negative refractive power; 
         [0012]    a third lens element with negative refractive power being provided with at least one aspheric surface. 
         [0013]    In the optical system for taking image, the refractive power of the optical system for taking image of the present invention is mainly provided by the first lens element with positive refractive power, and the second lens element and the third lens element with negative refractive power serve to balance and correct the various aberrations caused by the system. 
         [0014]    The first lens element provides a strong positive refractive power, and the aperture stop is located close to the object side, so that the height of the optical system for taking image can be reduced effectively, and the exit pupil of the optical lens assembly will be far away from the image plane. Therefore, the light will be projected onto the photosensitive assembly with a relatively small incident angle, and this is the telecentric feature of the image side. And at least one inflection point is formed on the aspheric surface of the third lens element to contribute to a better correction of the incident angle of the off axis light with respect to the photosensitive assembly. The telecentric feature is very important to the photosensitive power of the current solid photosensitive assembly, and can improve the photosensitivity of the photosensitive assembly while reducing the probability of the occurrence of shading. 
         [0015]    The further objective of the present invention is to provide an optical system for taking image which can reduce the aberration and the number of the lenses. In addition, the trend of miniaturization of the optical lens assembly, and of increasing the field of view, so the focal length of the optical system is shorter. Therefore, the radius of curvature and the size of the lenses must be reduced, and it is impossible to make such glass lenses by the use of the conventional grind method. Plastic material is introduced to make lenses by injection molding, using a relatively low cost to produce high precision lenses. The surface of lens is aspheric for obtaining much more controlled variables, so as to reduce the aberration and the number of the lenses. 
         [0016]    In the optical system for taking image, an Abbe number of the second lens element is V2, and it satisfies the relation: 
         [0000]      V2&lt;40 
         [0017]    The abovementioned relation can effectively correct the chromatic aberration caused by the system, and improve the resolution of the optical system for taking image. And it will be better if the Abbe number V2 of the second lens element satisfies the relation: 
         [0000]      V2&lt;28 
         [0018]    Further, it will be better if the Abbe number V2 of the second lens element satisfies the relation: 
         [0000]      V2&lt;24 
         [0019]    In the optical system for taking image, the Abbe number of the first lens element is V1, the Abbe number of the third lens element is V3, and they satisfy the relations: 
         [0000]      V1&gt;50 
         [0000]      V3&gt;50 
         [0020]    The abovementioned relation can effectively correct the chromatic aberration caused by the system. 
         [0021]    The optical system for taking image, which includes the first lens element with positive refractive power having a convex front surface and a concave rear surface, the second lens element with negative refractive power having a concave front surface and a convex rear surface, and the third lens element with negative refractive power having a convex front surface and a concave rear surface. By such arrangements, the image quality can be improved effectively. 
         [0022]    In the optical system for taking image, a radius of curvature of the front surface of the first lens element is R1, and the radius of curvature of the rear surface of the first lens element is R2, and they satisfy the relations: 
         [0000]      0.2&lt;R1/R2&lt;0.5 
         [0023]    When the value of R1/R2 is set to be smaller than the low limit as stated above, R1 will be smaller, and the aberration of the system will be too great and is difficult to control. On the other hand, when the value of R1/R2 is set to be bigger than the high limit as stated above, R1 becomes bigger, and the refractive power of the first lens element will be smaller, as a result, the aperture stop must be moved to the more forward position to reduce the incident angle of the light with respect to the photosensitive assembly that will inapplicable to a miniaturized optical system for taking image. 
         [0024]    In the optical system for taking image, the radius of curvature of the front surface of the second lens element is R3, and the radius of curvature of the rear surface of the second lens element is R4, and they satisfy the relations: 
         [0000]      0.6&lt;R3/R4&lt;1.0 
         [0025]    When the value of R3/R4 is set to be smaller than the low limit as stated above, R3 will be smaller, and the total height of the optical system will be too great. On the other hand, when the value of R3/R4 is set to be bigger than the high limit as stated above, R3 will be greater, as a result, the chromatic aberration caused by the system will be difficult to correct. 
         [0026]    In the optical system for taking image, the radius of curvature of the front surface of the third lens element is R5, and the radius of curvature of the rear surface of the third lens element is R6, and they satisfy the relations: 
         [0000]      1.0&lt;R5/R6&lt;5.0 
         [0027]    The abovementioned relation can effectively correct the high order aberration of the system, further, it will be better if R5/R6 satisfies the relation: 
         [0000]      1.5&lt;R5/R6&lt;4.0 
         [0028]    The height SAG31 at the position of the effective diameter of the front surface of the third lens satisfies the relation: 
         [0000]      SAG31&lt;0 mm 
         [0029]    The height at the position of the effective diameter of the surface is defined as: the distance between the position at the effective diameter and the position at the optical axis, which projects onto the optical axis. When the height at the position of the effective diameter of the surface is inclined toward the image side, the height is positive, and when the height at the position of the effective diameter of the surface is inclined toward the object side, the height is negative. 
         [0030]    By such arrangements, the incident angle of the light with respect to the photosensitive assembly can be effectively reduced while improving the correction of the off axis aberration. It will be better if SAG31 satisfies the relation: 
         [0000]      SAG31&lt;−0.1 mm 
         [0031]    Further, it will be better if SAG31 satisfies the relation: 
         [0000]      SAG31&lt;−0.2 mm 
         [0032]    In the optical system for taking image, the focal length of the first lens element is f1, the focal length of the second lens element is f2, the focal length of the third lens element is f3, and the focal length of the optical system is f, they satisfy the relations: 
         [0000]      | f/f 1 |&gt;1.0 
         [0000]      | f/f 2 |&gt;0.1 
         [0000]      | f/f 3 |&gt;0.2 
         [0033]    The abovementioned relation can effectively compress the total height of the optical system and can maintain a good image quality. 
         [0034]    In the optical system for taking image, the distance between the second lens element and the third lens element is T23, and it satisfies the relation: 
         [0000]      T23&gt;0.2 mm 
         [0035]    The abovementioned relation can effectively correct the off axis aberration of the optical system. 
         [0036]    In the optical system for taking image, the distance between the second lens element and the third lens element is T23, and it satisfies the relation: 
         [0000]      T23&lt;0.08 mm 
         [0037]    The abovementioned relation can reduce the height of the total optical system. 
         [0038]    In the optical system for taking image, the center thickness of the second lens element is CT2, and it satisfies the relation: 
         [0000]      CT2&lt;0.38 mm 
         [0039]    The abovementioned relation can effectively reduce the height of the total optical system, and it will be better if CT2 satisfies the relation: 
         [0000]      CT2&lt;0.34 mm 
         [0040]    In the optical system for taking image, the edge thickness of the first lens element is ET1, and it satisfies the relation: 
         [0000]      ET1&lt;0.4 mm 
         [0041]    The edge thickness is defined as: the length projected on an optical axis by the distance between the positions of the effective diameter of the front and the rear surfaces of the lens. The abovementioned relation can reduce the height of the total optical system. 
         [0042]    The present invention will become more obvious from the following description when taken in connection with the accompanying drawings, which show, for purpose of illustrations only, the preferred embodiments in accordance with the present invention. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0043]      FIG. 1  shows an optical system for taking image in accordance with a first embodiment of the present invention; 
           [0044]      FIG. 2  shows the aberration curve of the first embodiment the present invention; 
           [0045]      FIG. 3  shows an optical system for taking image in accordance with a second embodiment of the present invention; 
           [0046]      FIG. 4  shows the aberration curve of the second embodiment the present invention; 
           [0047]      FIG. 5  shows an optical system for taking image in accordance with a third embodiment of the present invention; 
           [0048]      FIG. 6  shows the aberration curve of the third embodiment the present invention; 
           [0049]      FIG. 7  shows an optical system for taking image in accordance with a fourth embodiment of the present invention; and 
           [0050]      FIG. 8  shows the aberration curve of the fourth embodiment the present invention. 
       
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
       [0051]    Referring to  FIG. 1 , which shows an optical 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 system for taking image comprising three lenses with refractive power, and the optical system for taking image comprises: from the object side to the image side: 
         [0052]    A plastic first lens element  10  with positive refractive power has a convex front surface  11  and a concave rear surface  12 , and the front surface  11  and the rear surface  12  of the first lens element are aspheric. 
         [0053]    A plastic second lens element  20  with negative refractive power has a concave front surface  21  and a convex rear surface  22 , and the front surface  21  and the rear surface  22  of the second lens element are aspheric. 
         [0054]    A plastic third lens element  30  with negative refractive power has a convex front surface  31  and a concave rear surface  32 , the front surface  31  and the rear surface  32  of the third lens element are aspheric, and the third lens element  30  is formed with an inflection point. 
         [0055]    An aperture stop  40  is located in front of the first lens element  10  for controlling brightness of the optical system. 
         [0056]    An IR cut filter  50  is located behind the third lens element  30  and has no influence on the focal length of the optical system. 
         [0057]    And an image plane  60  is located behind the IR cut filter  50 . 
         [0058]    The equation of the curve of the aspheric surfaces is expressed as follows: 
         [0000]        X ( Y )=( Y   2   /R )/(1+sqrt(1−(1+ k )*( Y/R ) 2 ))+ A   4   *Y   4   +A   6   *Y   6 + . . . 
         [0059]    wherein: 
         [0060]    X: represents the distance of the cross section of the lens; 
         [0061]    Y: the height from the point on the curve of the aspheric surface to the optical axis; 
         [0062]    K: represents the conical coefficients; 
         [0063]    A4, A6 . . . the aspheric surface coefficients of the fourth and sixth order. 
         [0064]    In the optical system for taking image, the Abbe number of the first lens element is V1, V1=60.3, which is formed by cyclic olefin copolymer, the Abbe number of the second lens element is V2, V2=23.4, which is formed by polyester and the Abbe number of the third lens element is V3, V3=55.8, which is formed by cyclic olefin polymer. 
         [0065]    In the optical system for taking image, the radius of curvature of the front surface of the first lens element is R1, and the radius of curvature of the rear surface of the first lens element is R2. The radius of curvature of the front surface of the second lens element is R3, and the radius of curvature of the rear surface of the second lens element is R4. The radius of curvature of the front surface of the third lens element is R5, and the radius of curvature of the rear surface of the third lens element is R6. And they satisfy the relations: R1/R2=0.43, R3/R4=0.78, R5/R6=2.05. 
         [0066]    In the optical system for taking image, the height SAG31 at the position of the effective diameter of the front surface of the third lens satisfies the relation: SAG31=−0.2 mm, the height at the position of the effective diameter of the surface is defined as: the distance between the position at the effective diameter and the position at the optical axis, which projects onto the optical axis. When the height at the position of the effective diameter of the surface is inclined toward the image side, the height is positive, and when the height at the position of the effective diameter of the surface is inclined toward the object side, the height is negative. 
         [0067]    In the optical system for taking image, the focal length of the first lens element is f1, the focal length of the second lens element is f2, the focal length of the third lens element is f3, and the focal length of the optical system is f, they satisfy the relations: |f/f1|=1.33, |f/f2 |=0.23, |f/f3 |=0.42. 
         [0068]    In the optical system for taking image, the distance between the second lens element and the third lens element is T23, T23=0.776 mm. 
         [0069]    In the optical system for taking image, the center thickness of the second lens element is CT2, CT2=0.350 mm 
         [0070]    In the optical system for taking image, the edge thickness of the first lens element is ET1, ET1=0.316 mm; and the edge thickness is: the length projected on an optical axis by the distance between the positions of the effective diameter of the front and the rear surfaces of the lens. 
         [0071]    The data of the structure 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. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 (Embodiment 1) 
               
               
                 f = 3.28 mm, Fno = 3.2, HFOV = 33.5 deg. 
               
             
          
           
               
                   
                   
                 Curvature 
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                   
                 Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. 
                 Plano 
                 −0.168 
               
               
                   
                 Stop 
               
               
                 2 
                 Lens 1 
                 0.850470(ASP) 
                 0.412 
                 Plastic 
                 1.543 
                 60.3 
                 2.45 
               
               
                 3 
                   
                 1.957760(ASP) 
                 0.404 
               
               
                 4 
                 Lens 2 
                 −1.213540(ASP)   
                 0.350 
                 Plastic 
                 1.632 
                 23.4 
                 −13.82 
               
               
                 5 
                   
                 −1.566740(ASP)   
                 0.776 
               
               
                 6 
                 Lens 3 
                 3.923500(ASP) 
                 0.572 
                 Plastic 
                 1.53 
                 55.8 
                 −7.8 
               
               
                 7 
                   
                 1.911840(ASP) 
                 0.250 
               
               
                 8 
                 IR-filter 
                 Plano 
                 0.550 
                 Glass 
                 1.517 
                 64.1 
                 — 
               
               
                 9 
                   
                 Plano 
                 0.248 
               
               
                 10 
                 Image 
                 Plano 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
             
             
               
                   
               
               
                 Aspheric Coefficient 
               
             
          
           
               
                   
                 Surface # 
               
             
          
           
               
                   
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
                   
               
             
          
           
               
                 K = 
                 4.13678E−01 
                 6.94736E+00 
                 1.54334E+00 
                 −1.28981E+00 
                 −1.63591E+01 
                 −7.64748E+00 
               
               
                 A4 = 
                 5.86092E−02 
                 1.73424E−01 
                 −1.40573E−01 
                 −9.32828E−02 
                 −2.49851E−01 
                 −1.23475E−01 
               
               
                 A6 = 
                 −6.75368E−01 
                 2.61910E−01 
                 1.47810E+00 
                 4.26576E−01 
                 1.04941E−01 
                 2.46266E−02 
               
               
                 A8 = 
                 3.78455E+00 
                 −3.64654E+00 
                 −1.02111E+01 
                 1.67409E−01 
                 −2.20734E−02 
                 −7.63309E−03 
               
               
                 A10 = 
                 −2.85594E+00 
                 2.48079E+01 
                 4.79806E+01 
                 5.16132E−02 
                 4.88411E−03 
                 1.32535E−03 
               
               
                 A12 = 
                 −5.21940E+00 
                 — 
                 −8.44167E+01 
                 −2.77824E−01 
                 −7.66070E−04 
                 −1.54819E−04 
               
               
                   
               
             
          
         
       
     
         [0072]    Referring to  FIG. 3 , which shows an optical lens assembly in accordance with a second embodiment of the present invention, and  FIG. 4  shows the aberration curve of the second embodiment the present invention. The second embodiment of the present invention is an optical system for taking image comprising three lenses with refractive power, and the optical system for taking image comprises: from the object side to the image side: 
         [0073]    A plastic first lens element  10  with positive refractive power has a convex front surface  11  and a concave rear surface  12 , and the front surface  11  and the rear surface  12  of the first lens element  10  are aspheric. 
         [0074]    A plastic second lens element  20  with negative refractive power has a concave front surface  21  and a convex rear surface  22 , and the front surface  21  and the rear surface  22  of the second lens element  20  are aspheric. 
         [0075]    A plastic third lens element  30  with negative refractive power has a convex front surface  31  and a concave rear surface  32 , the front surface  31  and the rear surface  32  of the third lens element  30  are aspheric, and the third lens element  30  is formed with an inflection point. 
         [0076]    An aperture stop  40  is located in front of the first lens element  10  for controlling brightness of the optical system. 
         [0077]    An IR cut filter  50  is located behind the third lens element  30  and has no influence on the focal length of the optical system. 
         [0078]    And an image plane  60  is located behind the IR cut filter  50 . 
         [0079]    The equation of the curve of the aspheric surfaces of the second embodiment is expressed as follows: 
         [0000]        X ( Y )=( Y   2   /R )/(1+sqrt(1−(1 +k )*( Y/R ) 2 ))+ A   3   *Y   3   +A   4   *Y   4   +A   5   *Y   5   +A   6   *Y   6  . . . 
         [0080]    wherein: 
         [0081]    X: represents the distance of the cross section of the lens; 
         [0082]    Y: the height from the point on the curve of the aspheric surface to the optical axis; 
         [0083]    K: represents the conical coefficients; 
         [0084]    A3, A4, A5, A6 . . . : the aspheric surface coefficients of the third, the fourth, the fifth and sixth order. 
         [0085]    In the optical system for taking image, the Abbe number of the first lens element is V1, V1=60.3, which is formed by cyclic olefin copolymer, the Abbe number of the second lens element is V2, V2=26.6, which is formed by modified polycarbonate and the Abbe number of the third lens element is V3, V3=56.8, which is formed by cyclic olefin copolymer. 
         [0086]    In the optical system for taking image, the radius of curvature of the front surface of the first lens element is R1, and the radius of curvature of the rear surface of the first lens element is R2. The radius of curvature of the front surface of the second lens element is R3, and the radius of curvature of the rear surface of the second lens element is R4. The radius of curvature of the front surface of the third lens element is R5, and the radius of curvature of the rear surface of the third lens element is R6. And they satisfy the relations: R1/R2=0.36, R3/R4=0.85, R5/R6=3.78. 
         [0087]    In the optical system for taking image, the height SAG31 at the position of the effective diameter of the front surface of the third lens satisfies the relation: SAG31=−0.07 mm. 
         [0088]    The definition of the height SAG31 is the same as that of the first embodiment. 
         [0089]    In the optical system for taking image, the focal length of the first lens element is f1, the focal length of the second lens element is f2, the focal length of the third lens element is f3, and the focal length of the optical system is f, they satisfy the relations: |f/f1 |=1.31, |f/f2 |=0.03, |f/f3 |=0.32. 
         [0090]    In the optical system for taking image, the distance between the second lens element and the third lens element is T23, T23=0.250 mm. 
         [0091]    In the optical system for taking image, the center thickness of the second lens element is CT2, CT2=0.291 mm 
         [0092]    In the optical system for taking image, the edge thickness of the first lens element is ET1, ET1=0.301 mm. 
         [0093]    The definition of the edge thickness ET1 is the same as that of the first embodiment. 
         [0094]    The data of the structure 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. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 (Embodiment 2) 
               
               
                 f = 2.84 mm, Fno = 2.9, HFOV = 30.0 deg. 
               
             
          
           
               
                   
                   
                 Curvature 
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                   
                 Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.103 
               
               
                 2 
                 Lens 1 
                 0.855000(ASP) 
                 0.415 
                 Plastic 
                 1.543 
                 60.3 
                 2.24 
               
               
                 3 
                   
                 2.392654(ASP) 
                 0.506 
               
               
                 4 
                 Lens 2 
                 −0.647143(ASP)   
                 0.291 
                 Plastic 
                 1.606 
                 26.6 
                 −99.79 
               
               
                 5 
                   
                 −0.765429(ASP)   
                 0.250 
               
               
                 6 
                 Lens 3 
                 12.545486(ASP)  
                 0.637 
                 Plastic 
                 1.514 
                 56.8 
                 −9.00 
               
               
                 7 
                   
                 3.318343(ASP) 
                 0.120 
               
               
                 8 
                 IR-filter 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.1 
                 — 
               
               
                 9 
                   
                 Plano 
                 0.715 
               
               
                 10 
                 Image 
                 Plano 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 4 
               
             
             
               
                   
               
               
                 Aspheric Coefficient 
               
             
          
           
               
                   
                 Surface # 
               
             
          
           
               
                   
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
                   
               
             
          
           
               
                 K = 
                 −9.09011E−03 
                 0.00000E+00 
                 2.00000E−01 
                 −6.80147E−01 
                 −1.01534E+03 
                 −5.46241E+01 
               
               
                 A3 = 
                 — 
                 — 
                 1.34830E+00 
                 — 
                 — 
                 — 
               
               
                 A4 = 
                 −8.90588E−03 
                 2.28389E−02 
                 −2.78042E+01 
                 9.23467E−02 
                 −1.30910E−01 
                 −1.39140E−01 
               
               
                 A5 = 
                 — 
                 — 
                 2.89455E+02 
                 — 
                 — 
                 — 
               
               
                 A6 = 
                 1.16362E+00 
                 −8.27833E−01 
                 −1.70863E+03 
                 −1.28816E−01 
                 1.45831E−02 
                 4.82871E−02 
               
               
                 A7 = 
                 — 
                 — 
                 6.01215E+03 
                 — 
                 — 
                 — 
               
               
                 A8 = 
                 −1.31019E+01 
                 4.01551E+00 
                 −1.25128E+04 
                 −5.23687E−01 
                 2.57478E−02 
                 −3.87895E−02 
               
               
                 A9 = 
                 — 
                 — 
                 1.42124E+04 
                 — 
                 — 
                 — 
               
               
                 A10 = 
                 4.99850E+01 
                 −7.18899E+00 
                 −6.78739E+03 
                 3.40459E+00 
                 −1.01720E−02 
                 1.14310E−02 
               
               
                 A12 = 
                 5.92800E+01 
                 −1.33795E+02 
                 — 
                 3.73179E+00 
                 −6.22961E−03 
                 −9.43778E−04 
               
               
                 A14 = 
                 −8.09900E+02 
                 6.51120E+02 
                 — 
                 −3.23721E+00 
                 1.09343E−02 
                 4.00375E−07 
               
               
                 A16 = 
                 1.34826E+03 
                 −1.05379E+03 
                 — 
                 −6.09373E+00 
                 −3.60996E−03 
                 −3.17598E−04 
               
               
                   
               
             
          
         
       
     
         [0095]    Referring to  FIG. 5 , which shows an optical lens assembly in accordance with a third embodiment of the present invention, and  FIG. 6  shows the aberration curve of the third embodiment the present invention. The third embodiment of the present invention is an optical system for taking image comprising three lenses with refractive power, and the optical system for taking image comprises: from the object side to the image side: 
         [0096]    A plastic first lens element  10  with positive refractive power has a convex front surface  11  and a concave rear surface  12 , and the front surface  11  and the rear surface  12  of the first lens element are aspheric. 
         [0097]    A plastic second lens element  20  with negative refractive power has a concave front surface  21  and a convex rear surface  22 , and the front surface  21  and the rear surface  22  of the second lens element are aspheric. 
         [0098]    A plastic third lens element  30  with negative refractive power has a convex front surface  31  and a concave rear surface  32 , the front surface  31  and the rear surface  32  of the third lens element are aspheric, and the third lens element  30  is formed with an inflection point. 
         [0099]    An aperture stop  40  is located in front of the first lens element  10  for controlling brightness of the optical system. 
         [0100]    An IR cut filter  50  is located behind the third lens element  30  and has no influence on the focal length of the optical system. 
         [0101]    And an image plane  60  is located behind the IR cut filter  50 . 
         [0102]    The equation of the curve of the aspheric surfaces of the third embodiment is the same as that of the first embodiment. 
         [0103]    In the optical system for taking image, the Abbe number of the first lens element is V1, V1=60.3, which is formed by cyclic olefin copolymer, the Abbe number of the second lens element is V2, V2=30.2, which is formed by polycarbonate, and the Abbe number of the third lens element is V3, V3=56.8, which is formed by cyclic olefin copolymer. 
         [0104]    In the optical system for taking image, the radius of curvature of the front surface of the first lens element is R1, and the radius of curvature of the rear surface of the first lens element is R2. The radius of curvature of the front surface of the second lens element is R3, and the radius of curvature of the rear surface of the second lens element is R4. The radius of curvature of the front surface of the third lens element is R5, and the radius of curvature of the rear surface of the third lens element is R6. And they satisfy the relations: R1/R2=0.37, R3/R4=0.83, R5/R6=1.22. 
         [0105]    In the optical system for taking image, the height SAG31 at the position of the effective diameter of the front surface of the third lens satisfies the relation: SAG31=0.02 mm. 
         [0106]    The definition of the height SAG31 is the same as that of the first embodiment. 
         [0107]    In the optical system for taking image, the focal length of the first lens element is f1, the focal length of the second lens element is f2, the focal length of the third lens element is f3, and the focal length of the optical system is f, they satisfy the relations: |f/f1 |=1.18, |f/f2 |=0.03, |f/f3 |=0.05. 
         [0108]    In the optical system for taking image, the distance between the second lens and the third lens element is T23, T23=0.037 mm. 
         [0109]    In the optical system for taking image, the center thickness of the second lens element is CT2, CT2=0.400 mm 
         [0110]    In the optical system for taking image, the edge thickness of the first lens element is ET1, ET1=0.420 mm. 
         [0111]    The definition of the edge thickness ET1 is the same as that of the first embodiment. 
         [0112]    The data of the structure 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. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 (Embodiment 3) 
               
               
                 f = 3.95 mm, Fno = 2.9, HFOV = 29.3 deg. 
               
             
          
           
               
                   
                   
                 Curvature 
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                   
                 Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.200 
               
               
                 2 
                 Lens 1 
                 1.281720(ASP) 
                 0.571 
                 Plastic 
                 1.543 
                 60.3 
                 3.4 
               
               
                 3 
                   
                 3.481000(ASP) 
                 0.918 
               
               
                 4 
                 Lens 2 
                 −0.755200(ASP)   
                 0.400 
                 Plastic 
                 1.583 
                 30.2 
                 −164.22 
               
               
                 5 
                   
                 −0.910540(ASP)   
                 0.037 
               
               
                 6 
                 Lens 3 
                 7.020800(ASP) 
                 0.994 
                 Plastic 
                 1.514 
                 56.8 
                 −84.63 
               
               
                 7 
                   
                 5.757000(ASP) 
                 0.590 
               
               
                 8 
                 IR-filter 
                 Plano 
                 0.550 
                 Glass 
                 1.517 
                 64.1 
                 — 
               
               
                 9 
                   
                 Plano 
                 0.665 
               
               
                 10 
                 Image 
                 Plano 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 6 
               
             
             
               
                   
               
               
                 Aspheric Coefficient 
               
             
          
           
               
                   
                 Surface # 
               
             
          
           
               
                   
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
                   
               
             
          
           
               
                 K = 
                 7.24678E−01 
                 8.51853E+00 
                 −1.09515E−01 
                 −6.91348E−01 
                 −3.30057E+02 
                 −7.72533E+01 
               
               
                 A4 = 
                 −4.88660E−02 
                 −1.45840E−02 
                 1.42398E−01 
                 −3.23556E−02 
                 −1.99736E−03 
                 −6.16373E−02 
               
               
                 A6 = 
                 8.12733E−02 
                 −1.30103E−01 
                 −1.24621E+00 
                 1.04525E−01 
                 −7.65632E−03 
                 1.69540E−02 
               
               
                 A8 = 
                 −5.33854E−01 
                 4.36001E−02 
                 5.17135E+00 
                 −6.89813E−02 
                 1.29798E−03 
                 −4.67535E−03 
               
               
                 A10 = 
                 7.57624E−01 
                 −1.77727E−01 
                 −8.80124E+00 
                 3.86481E−02 
                 2.54344E−04 
                 5.05344E−04 
               
               
                 A12 = 
                 5.54123E−01 
                 4.89912E−02 
                 5.22910E+00 
                 2.72602E−02 
                 −4.87733E−05 
                 −1.63464E−05 
               
               
                 A14 = 
                 −3.34844E+00 
                 −6.17856E−01 
                 1.39889E+00 
                 9.25956E−03 
                 1.73398E−06 
                 1.66355E−07 
               
               
                 A16 = 
                 2.56517E+00 
                 8.91901E−02 
                 −2.45845E+00 
                 1.45327E−03 
                 −3.00608E−07 
                 −5.74485E−07 
               
               
                   
               
             
          
         
       
     
         [0113]    Referring to  FIG. 7 , which shows an optical lens assembly in accordance with a fourth embodiment of the present invention, and  FIG. 8  shows the aberration curve of the fourth embodiment the present invention. The fourth embodiment of the present invention is an optical system for taking image comprising three lenses with refractive power, and the optical system for taking image comprises: from the object side to the image side: 
         [0114]    A plastic first lens element  10  with positive refractive power has a convex front surface  11  and a concave rear surface  12 , and the front surface  11  and the rear surface  12  of the first lens element are aspheric. 
         [0115]    A plastic second lens element  20  with negative refractive power has a concave front surface  21  and a convex rear surface  22 , and the front surface  21  and the rear surface  22  of the second lens element are aspheric. 
         [0116]    A plastic third lens element  30  with negative refractive power has a convex front surface  31  and a concave rear surface  32 , the front surface  31  and the rear surface  32  of the third lens element are aspheric, and the third lens element  30  is formed with an inflection point. 
         [0117]    An aperture stop  40  is located in front of the first lens element  10  for controlling brightness of the optical system. 
         [0118]    An IR cut filter  50  is located behind the third lens element  30  and has no influence on the focal length of the optical system. 
         [0119]    And an image plane  60  is located behind the IR cut filter  50 . 
         [0120]    The equation of the curve of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment. 
         [0121]    In the optical system for taking image, the Abbe number of the first lens element is V1, V1=60.3, which is formed by cyclic olefin copolymer, the Abbe number of the second lens element is V2, V2=23.4, which is formed by polyester and the Abbe number of the third lens element is V3, V3=55.8, which is formed by cyclic olefin polymer. 
         [0122]    In the optical system for taking image, the radius of curvature of the front surface of the first lens element is R1, and the radius of curvature of the rear surface of the first lens element is R2. The radius of curvature of the front surface of the second lens element is R3, and the radius of curvature of the rear surface of the second lens element is R4. The radius of curvature of the front surface of the third lens element is R5, and the radius of curvature of the rear surface of the third lens element is R6. And they satisfy the relations: R1/R2=0.38, R3/R4=0.81, R5/R6=1.12. 
         [0123]    In the optical system for taking image, the height SAG31 at the position of the effective diameter of the front surface of the third lens satisfies the relation: SAG31=0.09 mm. 
         [0124]    The definition of the height SAG31 is the same as that of the first embodiment. 
         [0125]    In the optical system for taking image, the focal length of the first lens element is f1, the focal length of the second lens element is f2, the focal length of the third lens element is f3, and the focal length of the optical system is f, they satisfy the relations: |f/f1 |=1.12, |f/f2 |=0.09, |f/f3 |=0.01. 
         [0126]    In the optical system for taking image, the distance between the second lens element and the third lens element is T23, T23=0.050 mm. 
         [0127]    In the optical system for taking image, the center thickness of the second lens element is CT2, CT2=0.350 mm. 
         [0128]    In the optical system for taking image, the edge thickness of the first lens element is ET1, ET1=0.382 mm. 
         [0129]    The definition of the edge thickness ET1 is the same as that of the first embodiment. 
         [0130]    The data of the structure 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. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 7 
               
             
             
               
                   
               
               
                 (Embodiment 4) 
               
               
                 f = 2.72 mm, Fno = 2.8, HFOV = 31 deg. 
               
             
          
           
               
                   
                   
                 Curvature 
                   
                   
                   
                   
                 Focal 
               
               
                 Surface # 
                   
                 Radius 
                 Thickness 
                 Material 
                 Index 
                 Abbe # 
                 length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. Stop 
                 Plano 
                 −0.122 
               
               
                 2 
                 Lens 1 
                 0.909760(ASP) 
                 0.464 
                 Plastic 
                 1.543 
                 60.3 
                 2.43 
               
               
                 3 
                   
                 2.381100(ASP) 
                 0.589 
               
               
                 4 
                 Lens 2 
                 −0.739230(ASP)   
                 0.350 
                 Plastic 
                 1.632 
                 23.4 
                 −31.76 
               
               
                 5 
                   
                 −0.908820(ASP)   
                 0.050 
               
               
                 6 
                 Lens 3 
                 1.942070(ASP) 
                 0.576 
                 Plastic 
                 1.53 
                 55.8 
                 −534.02 
               
               
                 7 
                   
                 1.730080(ASP) 
                 0.200 
               
               
                 8 
                 IR-filter 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.1 
                 — 
               
               
                 9 
                   
                 Plano 
                 0.200 
               
               
                 10 
                 Cover Glass 
                 Plano 
                 0.400 
               
               
                   
                   
                 Plano 
                 0.222 
               
               
                   
                 Image 
                 Plano 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 8 
               
             
             
               
                   
               
               
                 Aspheric Coefficient 
               
             
          
           
               
                   
                 Surface # 
               
             
          
           
               
                   
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
                   
               
             
          
           
               
                 K = 
                 −3.55500E−01 
                 6.50000E+00 
                 −2.12408E+00 
                 −8.81975E−01 
                 −4.66290E+00 
                 −1.63726E+01 
               
               
                 A4 = 
                 9.23155E−02 
                 1.59053E−01 
                 −4.17492E−02 
                 3.11811E−01 
                 −1.92130E−01 
                 −9.28374E−02 
               
               
                 A6 = 
                 2.44473E−01 
                 −4.98554E−01 
                 −4.65739E−01 
                 −1.47795E−01 
                 1.19222E−01 
                 −1.99965E−02 
               
               
                 A8 = 
                 1.31179E−01 
                 2.43305E+00 
                 6.23612E−02 
                 2.46871E−01 
                 −7.42736E−02 
                 1.71106E−02 
               
               
                 A10 = 
                 — 
                 — 
                 −6.10061E−01 
                 — 
                 3.51633E−02 
                 −1.04139E−02 
               
               
                 A12 = 
                 — 
                 — 
                 −7.04666E+00 
                 — 
                 −6.71292E−03 
                 1.65932E−03 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
                 TABLE 9 
               
               
                   
                   
               
               
                   
                 Embodi- 
                 Embodi- 
                 Embodi- 
                 Embodi- 
               
               
                   
                 ment 1 
                 ment 2 
                 ment 3 
                 ment 4 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f 
                 3.28 
                 2.84 
                 3.95 
                 2.72 
               
               
                   
                 Fno 
                 3.2 
                 2.9 
                 2.9 
                 2.8 
               
               
                   
                 HFOV 
                 33.5 
                 30.0 
                 29.3 
                 31.0 
               
               
                   
                 V1 
                 60.3 
                 60.3 
                 60.3 
                 60.3 
               
               
                   
                 V2 
                 23.4 
                 26.6 
                 30.2 
                 23.4 
               
               
                   
                 V3 
                 55.8 
                 56.8 
                 56.8 
                 55.8 
               
               
                   
                 R1/R2 
                 0.43 
                 0.36 
                 0.37 
                 0.38 
               
               
                   
                 R3/R4 
                 0.78 
                 0.85 
                 0.83 
                 0.81 
               
               
                   
                 R5/R6 
                 2.05 
                 3.78 
                 1.22 
                 1.12 
               
               
                   
                 SAG31 
                 −0.20 
                 −0.07 
                 0.02 
                 0.09 
               
               
                   
                 | f/f1 | 
                 1.33 
                 1.31 
                 1.18 
                 1.12 
               
               
                   
                 | f/f2 | 
                 0.23 
                 0.03 
                 0.03 
                 0.09 
               
               
                   
                 | f/f3 | 
                 0.42 
                 0.32 
                 0.05 
                 0.01 
               
               
                   
                 T23 
                 0.776 
                 0.250 
                 0.037 
                 0.050 
               
               
                   
                 CT2 
                 0.350 
                 0.291 
                 0.400 
                 0.350 
               
               
                   
                 ET1 
                 0.316 
                 0.301 
                 0.420 
                 0.382 
               
               
                   
                   
               
             
          
         
       
     
         [0131]    It is to be noted that the tables  1 - 8  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 contemplated to be within the scope of the present invention even if it uses different data. Table  9  is the data of the respective embodiments resulted from the equations. 
         [0132]    While we have shown and described various embodiments in accordance with the present invention, it should be clear to those skilled in the art that further embodiments may be made without departing from the scope of the present invention.