Abstract:
Along an optical axis from an object side to an image side, a short overall length imaging lens system with four lenses includes a first lens with positive power that is a meniscus spherical/aspherical lens with a convex surface on the object side; an aperture stop; a second lens with negative power that is a meniscus aspherical lens with a convex surface facing the object side; a third lens with positive power that is a meniscus aspherical lens and a concave surface on the object side; and a fourth lens with negative power that is a biconcave aspherical lens with at least one inflection point in the effective diameter range of the optical surface on the image side so as to make the positive power gradually change into negative power. Moreover, the imaging lens system satisfies the following conditions: 
     
       
         
           
             
               0.25 
               ≤ 
               
                 
                   
                     d 
                      
                     
                         
                     
                      
                     2 
                   
                   + 
                   
                     d 
                      
                     
                         
                     
                      
                     4 
                   
                   + 
                   
                     d 
                      
                     
                         
                     
                      
                     6 
                   
                 
                 
                   f 
                   s 
                 
               
               ≤ 
               0.40 
             
             ; 
             
               0.8 
               ≤ 
               
                 
                   Y 
                   · 
                   
                     tan 
                      
                     
                       ( 
                       ω 
                       ) 
                     
                   
                 
                 Bf 
               
               ≤ 
               2.7 
             
           
         
       
     
     Thereby the imaging lens system provides good aberration correction with reduced overall lens length. Moreover, due to simple shape of the optical surface of each lens, the lens is easy to be produced, the lens system is minimized and the cost is reduced.

Description:
BACKGROUND OF THE INVENTION 
       [0001]    The present invention relates to a short overall length imaging lens system with four lenses, especially to an imaging lens system for mobile phones or mini-cameras with image sensors such as CCD (Charge Coupled Device) or CMOS (Complementary Metal Oxide Semiconductor). The imaging lens system is formed by four lenses and is with features of short overall length and low cost. 
         [0002]    The electronics available now become more compact and multifunctional. Most of them such as digital still cameras, PC (personal computer) cameras, network cameras and mobile phones, even persona digital assistants (PDA) are equipped with an image lens system. The imaging lens system not only requires good imaging quality but also needs compact volume (short overall length) and lower cost. Moreover, the imaging lens system with larger field angle can improve image quality of the electronics and match user&#39;s requirements. 
         [0003]    The imaging lens system applied to mini-size electronics includes various designs such as two lenses, three lenses, four lenses or five lenses. In consideration of imaging quality, multiple lenses system has better performance in aberration correction and MTF (modulation transfer function) so it is applied to electronics with requirement of high pixel count. 
         [0004]    In recent years, the requirements for the imaging lens system applied to high level mini-cameras, camera phones or PDA (personal digital assistant) etc. include compact volume (short overall length), good aberration correction, high pixel count and low cost. In compact design of the imaging lens system with four lenses, prior arts disclosed such as US2007/0081259, US7,177,098, US2003/0161051, EP1868021, EP1387199, JP2005-164899, JP2007-322844, JP2007-065374, JP2003-270530, TW 1254140, TWM313780, TWM 313245, CN1573407, CN1873461, CN1892279 etc., good aberration correction is achieved by the combinations of lenses with various positive power or negative power. Moreover, designs with positive refractive power of first lens, negative of second lens, positive of third lens and negative of fourth lens were disclosed as, US2007/014033, US2008/0024882, U.S. Pat. No. 7,215,492, U.S. Pat. No. 7,321,474, EP1821129, JP2007-225833, JP2008-020893, JP 2007-286153, JP 2007-193195, TWM314860, CN1815287, etc., to achieve good aberration correction. Especially on the fourth lens, the area near the optical axis on the object sides is a convex surface while the surface turns into a concave surface at the edge of the lens and change of the curvature is quite large. Or the area near the optical axis on the image sides is a concave surface while the surface turns into a convex surface at the edge of the lens. Such lens is quite difficult to be produced. Once the glass material is used, shape of the optical surface is difficult to control while being ground or molded. When the lens is produced by plastic injection molding, there are still some problems such as cooling shrinking or others. In order to overcome difficulties in manufacturing, the fourth lens with simple optical surface improves the yield rate, as shown in US2007/0058256, US2007/0070234, US 2007/0242370, US2008/0043346, JP2005-091666, JP2005-025174, JP 2004-233654, and P2007-219520 etc. 
         [0005]    The users are in urgent need of the imaging lens system with short overall length, good aberration correction, high pixel count and low cost. However, the overall length of the imaging lens system of prior arts requires further minimization. In order to achieve lost cost, the lens is made from material with lower refractive index instead of the material with high refractive index and high cost. Once an image side of the fourth lens is a concave surface, flare or ghost image is reduced. The yield rate is also improved if the lens includes a simpler optical surface. 
       SUMMARY OF THE INVENTION 
       [0006]    Therefore it is a primary object of the present invention to provide a short overall length imaging lens system with four lenses along an optical axis from an object side to an image side including: a first lens with positive power that is a meniscus lens with a convex surface on the object side and is a spherical lens or with at least one aspherical surface; an aperture stop; a second meniscus lens with negative power, a convex surface facing the object side and at least one aspherical optical surface; a third lens that is a meniscus lens with positive power, a concave surface on the object side, and at least one aspherical optical surface; and a fourth lens that is a biconcave aspherical lens with negative power and at least one inflection point in the effective diameter range of the optical surface on the image side while the optical surface on the object side is a concave surface without inflection point. Moreover, the imaging lens system satisfies the following conditions: 
         [0000]    
       
         
           
             
               
                 
                   0.25 
                   ≤ 
                   
                     
                       
                         d 
                          
                         
                             
                         
                          
                         2 
                       
                       + 
                       
                         d 
                          
                         
                             
                         
                          
                         4 
                       
                       + 
                       
                         d 
                          
                         
                             
                         
                          
                         6 
                       
                     
                     
                       f 
                       s 
                     
                   
                   ≤ 
                   0.40 
                 
               
               
                 
                   ( 
                   1 
                   ) 
                 
               
             
             
               
                 
                   0.8 
                   ≤ 
                   
                     
                       Y 
                       · 
                       
                         tan 
                          
                         
                           ( 
                           ω 
                           ) 
                         
                       
                     
                     Bf 
                   
                   ≤ 
                   2.7 
                 
               
               
                 
                   ( 
                   2 
                   ) 
                 
               
             
             
               
                 
                   
                     40 
                      
                     % 
                   
                   ≤ 
                   
                     
                       H 
                       - 
                     
                     
                       H 
                       t 
                     
                   
                   ≤ 
                   
                     70 
                      
                     % 
                   
                 
               
               
                 
                   ( 
                   3 
                   ) 
                 
               
             
             
               
                 
                   1.0 
                   ≤ 
                   
                     TL 
                     
                       f 
                       s 
                     
                   
                   ≤ 
                   1.5 
                 
               
               
                 
                   ( 
                   4 
                   ) 
                 
               
             
             
               
                 
                   1.0 
                   ≤ 
                   
                     
                       
                         R 
                          
                         
                             
                         
                          
                         31 
                       
                       + 
                       
                         R 
                          
                         
                             
                         
                          
                         32 
                       
                     
                     
                       
                         R 
                          
                         
                             
                         
                          
                         31 
                       
                       - 
                       
                         R 
                          
                         
                             
                         
                          
                         32 
                       
                     
                   
                   ≤ 
                   4.0 
                 
               
               
                 
                   ( 
                   5 
                   ) 
                 
               
             
           
         
       
     
         [0000]    wherein d 2  is distance from the image side of the first lens to the object side of the second lens on the optical axis, d 4  is distance from the image side of the second lens to the object side of the third lens on the optical axis, d 6  is distance from the image side of the third lens to the object side of the fourth lens on the optical axis, Bf is back focal length of the imaging lens system, TL is distance from the object side of the first lens to an image plane on the optical axis, ω is half of maximum field angle, f s  is effective focal length of the imaging lens system, Y is half of maximum diagonal of imaging height, H −  is the perpendicular distance from the inflection point on the image side of the fourth lens to the optical axis, H t  is the perpendicular distance from the maximum optical effective point on the image side of the fourth lens to the optical axis, R 31  is radius of curvature of the object side of the fourth lens, and R 32  is radius of curvature of the image side of the third lens. 
         [0007]    Furthermore, the first lens can be a spherical lens and the fourth lens can be a spherical lens so as to reduce the cost. 
         [0008]    In addition, the first lens, the second lens, the third lens, and the fourth lens are made from glass or plastic whose refractive index is lower than 1.63. Without using material with high refractive index, the cost is down. Thereby, the imaging lens system according to the present invention has features of short overall length, good aberration correction and low cost so as to have broader applications. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0009]      FIG. 1  is a schematic drawing showing optical structure of an embodiment according to the present invention; 
           [0010]      FIG. 2  is a side view of a fourth lens of an embodiment according to the present invention; 
           [0011]      FIG. 3  is a schematic drawing showing light path of an embodiment according to the present invention; 
           [0012]      FIG. 4  shows spherical aberration, field curvature and distortion of an image of an embodiment according to the present invention; 
           [0013]      FIG. 5  is a schematic drawing showing light path of another embodiment according to the present invention; 
           [0014]      FIG. 6  shows spherical aberration, field curvature and distortion of an image of another embodiment according to the present invention; 
           [0015]      FIG. 7  is a schematic drawing showing light path of the third embodiment according to the present invention; 
           [0016]      FIG. 8  shows spherical aberration, field curvature and distortion of an image of the third embodiment according to the present invention. 
           [0017]      FIG. 9  is a schematic drawing showing light path of the fourth embodiment according to the present invention; 
           [0018]      FIG. 10  shows spherical aberration, field curvature and distortion of an image of the fourth embodiment according to the present invention. 
           [0019]      FIG. 11  is a schematic drawing showing light path of the fifth embodiment according to the present invention; 
           [0020]      FIG. 12  shows spherical aberration, field curvature and distortion of an image of the fourth embodiment according to the present invention. 
           [0021]      FIG. 13  is a schematic drawing showing light path of the sixth embodiment according to the present invention; 
           [0022]      FIG. 14  shows spherical aberration, field curvature and distortion of an image of the sixth embodiment according to the present invention; 
           [0023]      FIG. 15  is a schematic drawing showing light path of the seventh embodiment according to the present invention; and 
           [0024]      FIG. 16  shows spherical aberration, field curvature and distortion of an image of the seventh embodiment according to the present invention. 
       
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT 
       [0025]    Refer to  FIG. 1 , along an optical axis Z from the object side to the image side, an imaging lens system  1  according to the present invention consists of a first lens  11 , an aperture stop S, a second lens  12 , a third lens  13 , a fourth lens  14 , an IR (infrared) cut-off filter  15 , a surface glass  16  and an image sensor  17 . While taking images, light from the object passes the first lens  11 , the second lens  12 , the third lens  13 , the fourth lens  14 , the IR cut-off filter  15  and the surface glass  16  to form an image on image plane of the image sensor  17 . 
         [0026]    The first lens  11  is a meniscus lens with positive power and an object side R 11  thereof is a convex surface while an image side R 12  is a concave surface. The first lens  11  is made from glass or plastic whose refractive index (N d ) is lower than 1.63. Moreover, the object side R 11 /the image side R 12  can be a spherical surface or an aspherical surface. 
         [0027]    The second lens  12  is a meniscus lens with negative power and an object side R 21  thereof is a convex surface while an image side R 22  is a concave surface. The second lens  12  is made from glass or plastic whose refractive index (N d ) is lower than 1.63. Moreover, the object side R 21  and the image side R 12  are aspherical surfaces. 
         [0028]    The third lens  13  is a meniscus lens with positive power and an object side R 31  thereof is a concave surface while an image side R 32  is a convex surface. The third lens  12  is made from glass or plastic whose refractive index (N d ) is lower than 1.63. Moreover, the object side R 31  and the image side R 32  are aspherical surfaces. In order to achieve good optical effects, the object side R 31  and the image side R 32  satisfy the equation (5). 
         [0029]    The fourth lens  14  is a biconcave lens with negative power and is made from glass or plastic whose refractive index (N d ) is lower than 1.63. An object side surface thereof R 41  can be spherical surface or aspherical surface without the inflection point. That means on the object side surface R 41 , there is no inflection point in the effective diameter range from the lens center to the edge. A image side surface R 42  of the fourth lens  14  is an aspherical lens having at least one inflection point in the effective diameter range from the lens center to the edge. The cross sectional view of the fourth lens  14  is shown as  FIG. 2 , the middle part is lower while the two sides are projective so that an inflection point is formed on a curve at which the curvature changes sign. When a tangent line passes the inflection point and intersects with the optical axis, the distance from the inflection point to the optical axis is lens height within negative power range, labeled as H − . That&#39;s the perpendicular distance from the inflection point to its intersection point of the optical axis. The perpendicular distance from the maximum optical effective point of the image side R 42  to the optical axis is labeled as H t . The ratio of H −  to H t  represents the range of change of the refractive power. In order to have better image, the preferred ratio should be larger than 40%. Yet for easy manufacturing, the curvature change should be lowered so that the preferred ratio is smaller than 70%. The equation (3) is satisfied. 
         [0030]    The aperture stop S is a middle-positioned aperture disposed between the first lens  11  and the second lens  12 . The IR cut-off filter  15  is a lens or a film formed by coating technique for blocking infrared light and is attached on the surface glass  16 . The surface glass  16  is a transparent glass for protecting lens surfaces and maintaining constant distance among the lenses. The image sensor  17  is Charge Coupled Device (CCD) or Complementary Metal Oxide Semiconductor (CMOS) that converts image data into electrical signals. 
         [0031]    While taking images, light from the object passes through the first lens  11 , the aperture stop S, the second lens  12 , the third lens  13 , the fourth lens  14 , the IR cut-off filter  15 , and the surface glass  16  to form an image on the image sensor  17 . 
         [0032]    The curvature radius and shape of spherical/aspherical optical surface of each lens, thickness of the lenses (d 1 , d 3 , d 5  and d 7 ) and distance of air gaps (d 4 , d 6 , d 8  and d 11 ) of the imaging lens system  1  according to the present invention satisfy the equation (4) while the field angle ω and back focal length Bf satisfy the equation (2) and the imaging lens system  1  has good aberration correction. 
         [0033]    In optical design of the imaging lens system  1 , once the optical surfaces having complicated shapes are used, the required optical effects are easily to achieve. However, the shortcoming of such design is difficulties in manufacturing. In the lens with large curvature change, it&#39;s quite difficult to made the lens with large curvature change by ground glass. Once the molded glass is used as manufacturing the lens, the yield rate is still low due to high change rate of the curvature. When plastic is used as raw material for the lens, this brings some difficulties in mold design. Moreover, due to large curvature change, the density of the melt plastic varies so that the plastic shrinkage, deformation or vein-lie pattern may occur. The fourth lens  14  is especially difficult to be manufactured. The imaging lens system  1  of the present invention uses optical surfaces with less curvature change, especially the optical surface on the object side R 41  of the fourth lens  14  so that the topical surface is spherical surface without the inflection point or aspherical surface and the equation (5) is satisfied. Therefore, the manufacturing difficulties are solved and the cost is down. 
         [0034]    The aspherical optical surface of the imaging lens system  1  satisfies the aspherical surface formula equation (6): 
         [0000]    
       
         
           
             
               
                 
                   Z 
                   = 
                   
                     
                       
                         ch 
                         2 
                       
                       
                         1 
                         + 
                         
                           ( 
                           
                             1 
                             - 
                             
                               
                                 ( 
                                 
                                   1 
                                   + 
                                   K 
                                 
                                 ) 
                               
                                
                               
                                 c 
                                 2 
                               
                                
                               
                                 h 
                                 2 
                               
                             
                           
                           ) 
                         
                       
                     
                     + 
                     
                       
                         A 
                         4 
                       
                        
                       
                         h 
                         4 
                       
                     
                     + 
                     
                       
                         A 
                         6 
                       
                        
                       
                         h 
                         6 
                       
                     
                     + 
                     
                       
                         A 
                         8 
                       
                        
                       
                         h 
                         8 
                       
                     
                     + 
                     
                       
                         A 
                         10 
                       
                        
                       
                         h 
                         10 
                       
                     
                     + 
                     
                       
                         A 
                         12 
                       
                        
                       
                         h 
                         12 
                       
                     
                     + 
                     
                       
                         A 
                         14 
                       
                        
                       
                         h 
                         14 
                       
                     
                   
                 
               
               
                 
                   ( 
                   6 
                   ) 
                 
               
             
           
         
       
     
         [0000]    wherein c is a radius of curvature, 
         [0035]    h represents height of lens, 
         [0036]    K is a conic constant, 
         [0037]    A 4 , A 6 , A 8 , A 10 , A 12 , A 14  respectively are 4th , 6th, 8th, 10 th, 12th, and 14 th  order aspherical coefficient. 
         [0038]    Refer to a list one of each embodiment: the list includes data of optical surface number (#) in order from the object side to the image side (R 11 , R 12 , R 21 , R 22 , R 31 , R 32 , R 41 , R 42  respectively represent the object side surface and the image side surface of the first lens  11 , the second lens  12 , the third lens  13  and the fourth lens  14 ), the radius of curvature R (mm) of each optical surface on the optical axis, the on-axis surface spacing d (mm) of each optical surface, the refractive index N d  of each lens and the Abbe&#39;s number ν d  of each lens. The optical surface of the lens labeled with * is an aspherical surface. Fno, fs, 2ω respectively represent aperture value (f number), effective focal length and field angle (degree) of the imaging lens system  1 . A list two includes aspheric coefficients of each optical surface in the equation (6). As shown in the following list  1 , list  2  of each embodiment and figures, the imaging lens system of the present invention provides effective aberration correction and having minimized overall length. 
       The First Embodiment 
       [0039]    Refer to  FIG. 3  &amp;  FIG. 4 , show the structure and optical path and spherical aberration, field curvature and distortion of this embodiment, respectively. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 1 
               
               
                 fs = 3.7484 Fno = 2.8 2ω = 62 
               
             
          
           
               
                 Surface 
                 Lens 
                 Radius 
                 Thickness 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 Object 
                   
                   
                   
                   
                   
               
               
                  1 
                  R11 
                 1.2961 
                 0.6000 
                 1.59 
                 61.20 
               
               
                  2(Stop) 
                  R12 
                 11.9461 
                 0.0500 
               
               
                  3 
                 *R21 
                 4.8326 
                 0.3000 
                 1.61 
                 26.32 
               
               
                  4 
                 *R22 
                 1.6841 
                 0.7110 
               
               
                  5 
                 *R31 
                 −2.3929 
                 0.6578 
                 1.53 
                 55.74 
               
               
                  6 
                 *R32 
                 −1.0047 
                 0.3432 
               
               
                  7 
                  R41 
                 −1.7430 
                 0.4500 
                 1.53 
                 55.74 
               
               
                  8 
                 *R42 
                 6.6313 
                 0.3500 
               
               
                  9 
                 IR 
                 ∞ 
                 0.3000 
                 1.52 
                 64.20 
               
               
                 10 
                 Cover 
                 ∞ 
                 0.4000 
                 1.53 
                 62.20 
               
               
                 11 
                   
                   
                 0.1249 
               
               
                 image 
               
               
                   
               
               
                 *aspherical surface 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 2 
               
             
          
           
               
                   
                 K 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
               
               
                   
                   
               
             
          
           
               
                 *R21 
                 −1.1279E+02 
                 1.3270E−02 
                 4.3947E−01 
                 −3.5679E+00 
                 1.2240E+01 
                 −1.5445E+01 
                 0.0000E+00 
               
               
                 *R22 
                 1.0779E+00 
                 6.7567E−02 
                 5.4278E−02 
                 1.3749E−01 
                 −3.8739E−01 
                 1.7296E+00 
                 −2.2285E+00 
               
               
                 *R31 
                 1.7950E−01 
                 −1.1257E−01 
                 −1.1236E−01 
                 2.1514E−01 
                 −2.6985E−01 
                 −2.1555E−01 
                 4.0792E−01 
               
               
                 *R32 
                 −1.2723E+00 
                 5.6656E−02 
                 −1.9035E−01 
                 2.5571E−01 
                 −2.4542E−01 
                 1.0941E−01 
                 −1.5038E−02 
               
               
                 *R42 
                 −2.5677E+01 
                 −5.3880E−02 
                 3.1848E−03 
                 −1.6604E−03 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                   
               
             
          
         
       
     
         [0040]    In this embodiment, the first lens  11  is made from glass with the refractive index N d1  of 1.59 and Abbe&#39;s number ν d1  of 61.2, the second lens  12  is made from plastic with the refractive index N d2  of 1.61 and Abbe&#39;s number ν d2  of 26.32, the third lens  13  is made from plastic with the refractive index N d3  of 1.53 and Abbe&#39;s number ν d3  of 55.74 while the fourth lens  14  is made from plastic with the refractive index N d4  of 1.53 and Abbe&#39;s number ν d4  of 55.74. The IR cut-off filter  15  is made from BK7-SCHOTT glass. The surface glass  16  is made from AF45-SCHOTT glass. 
         [0041]    In this embodiment, fs is obtained 3.7484 mm, and Bf is obtained 3.0443 mm. The object surface R 41  is a spherical concave surface without inflection point that is easy to be processed and manufactured. And both flare and ghost image are reduced. The effective height H t  of the image side surface R 42  is 1.8012 mm, the perpendicular distance from the inflection point to the optical axis H −  is 0.9687 mm, TL is 4.28 mm; 
         [0000]    
       
         
           
             
               
                 
                   d 
                    
                   
                       
                   
                    
                   2 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   4 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   6 
                 
               
               
                 f 
                 s 
               
             
             = 
             0.2946 
           
         
       
       
         
           
             
               
                 Y 
                 · 
                 
                   tan 
                    
                   
                     ( 
                     ω 
                     ) 
                   
                 
               
               Bf 
             
             = 
             0.8842 
           
         
       
       
         
           
             
               
                 H 
                 - 
               
               
                 H 
                 t 
               
             
             = 
             
               53.7 
                
               % 
             
           
         
       
       
         
           
             
               TL 
               
                 f 
                 s 
               
             
             = 
             1.1436 
           
         
       
       
         
           
             
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 + 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 - 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
             
             = 
             2.4474 
           
         
       
     
         [0042]    The equation (1) to equation (5) are satisfied. 
         [0043]    As shown in  FIG. 4 , the imaging lens system  1  of the present invention provide effective aberration correction and the overall length thereof can be effectively reduced so as to increase applications of the present invention. 
       The Second Embodiment 
       [0044]    Refer to  FIG. 5 . 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 3 
               
               
                 fs = 3.747 Fno = 2.8 2ω = 62 
               
             
          
           
               
                 Surface 
                 Lens 
                 Radius 
                 Thickness 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 Object 
                   
                   
                   
                   
                   
               
               
                  1 
                  R11 
                 1.2961 
                 0.6000 
                 1.59 
                 61.2 
               
               
                  2(Stop) 
                  R12 
                 11.9461 
                 0.0500 
               
               
                  3 
                 *R21 
                 4.8326 
                 0.3000 
                 1.61 
                 26.32 
               
               
                  4 
                 *R22 
                 1.6841 
                 0.7110 
               
               
                  5 
                 *R31 
                 −2.3929 
                 0.6578 
                 1.53 
                 55.74 
               
               
                  6 
                 *R32 
                 −1.0047 
                 0.3432 
               
               
                  7 
                 *R41 
                 −1.7430 
                 0.4500 
                 1.53 
                 55.74 
               
               
                  8 
                 *R42 
                 6.6313 
                 0.0500 
               
               
                  9 
                 IR 
                 ∞ 
                 0.3000 
                 1.52 
                 64.2 
               
               
                 10 
                 Cover 
                 ∞ 
                 0.4000 
                 1.53 
                 62.2 
               
               
                 11 
                   
                   
                 0.1249 
               
               
                 image 
               
               
                   
               
               
                 *aspherical surface 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 4 
               
             
          
           
               
                   
                 K 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
               
               
                   
                   
               
             
          
           
               
                 *R21 
                 −7.2343E+01 
                 5.5556E−02 
                 3.8977E−01 
                 −3.5718E+00 
                 1.2529E+01 
                 −1.5871E+01 
                 0.0000E+00 
               
               
                 *R22 
                 9.7463E−01 
                 6.5533E−02 
                 3.4367E−02 
                 2.0229E−01 
                 −5.0848E−01 
                 1.6684E+00 
                 −1.8190E+00 
               
               
                 *R31 
                 1.5333E+00 
                 −1.4861E−01 
                 −3.7726E−02 
                 2.3733E−01 
                 −3.6884E−01 
                 −2.7752E−01 
                 5.5890E−01 
               
               
                 *R32 
                 −1.0143E+00 
                 4.5169E−02 
                 −1.2840E−01 
                 2.4696E−01 
                 −2.5527E−01 
                 1.1133E−01 
                 −1.0741E−02 
               
               
                 *R41 
                 −5.1867E+00 
                 9.9161E−03 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R42 
                 −1.2659E+00 
                 −5.4399E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                   
               
             
          
         
       
     
         [0045]    In this embodiment, the first lens  11  is made from glass with the refractive index N d1  of 1.59 and Abbe&#39;s number ν d1  of 61.2, the second lens  12  is made from plastic with the refractive index N d2  of 1.61 and Abbe&#39;s number ν d2  of 26.32, the third lens  13  is made from plastic with the refractive index N d3  of 1.53 and Abbe&#39;s number ν d3  of 55.74 while the fourth lens  14  is made from plastic with the refractive index N d4  of 1.53 and Abbe&#39;s number ν d4  of 55.74. The IR cut-off filter  15  is made from BK7-SCHOTT glass. The surface glass  16  is made from AF45-SCHOTT glass. 
         [0046]    In this embodiment, fs is obtained 3.747 mm, and Bf is obtained 3.0443 mm. The object surface R 41  is an aspherical concave surface without inflection point and is easy to be processed and manufactured while both flare and ghost image are reduced. The effective height H t  of the image side surface R 42  is 1.8965 mm, the perpendicular distance from the inflection point to the optical axis H −  is 0.819 mm, TL is 3.99 mm; 
         [0000]    
       
         
           
             
               
                 
                   d 
                    
                   
                       
                   
                    
                   2 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   4 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   6 
                 
               
               
                 f 
                 s 
               
             
             = 
             0.2947 
           
         
       
       
         
           
             
               
                 Y 
                 · 
                 
                   tan 
                    
                   
                     ( 
                     ω 
                     ) 
                   
                 
               
               Bf 
             
             = 
             0.8842 
           
         
       
       
         
           
             
               
                 H 
                 - 
               
               
                 H 
                 t 
               
             
             = 
             
               43.2 
                
               % 
             
           
         
       
       
         
           
             
               TL 
               
                 f 
                 s 
               
             
             = 
             1.064 
           
         
       
       
         
           
             
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 + 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 - 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
             
             = 
             2.4474 
           
         
       
     
         [0047]    The equation (1) to equation (5) are satisfied by above parameters. 
         [0048]    As shown in  FIG. 6 , the imaging lens system  1  of the present invention provide effective aberration correction and the overall length thereof can be effectively reduced so as to increase applications of the present invention. 
       The Third Embodiment 
       [0049]    Refer to  FIG. 7 . 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 5 
               
               
                 fs = 3.7186 Fno = 2.8 2ω = 62 
               
             
          
           
               
                 Surface 
                 Lens 
                 Radius 
                 Thickness 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 Object 
                   
                   
                   
                   
                   
               
               
                  1 
                  R11 
                 1.7142 
                 1.0007 
                 1.59 
                 61.2 
               
               
                  2(Stop) 
                 *R12 
                 44.0890 
                 0.0598 
               
               
                  3 
                 *R21 
                 8.0779 
                 0.3000 
                 1.59 
                 61.2 
               
               
                  4 
                 *R22 
                 3.0039 
                 0.5830 
               
               
                  5 
                 *R31 
                 −2.2239 
                 0.9226 
                 1.58 
                 59.4 
               
               
                  6 
                 *R32 
                 −0.9747 
                 0.4810 
               
               
                  7 
                 *R41 
                 −1.4376 
                 0.4000 
                 1.58 
                 59.4 
               
               
                  8 
                 *R42 
                 9.3913 
                 0.3035 
               
               
                  9 
                 IR 
                 ∞ 
                 0.3000 
                 1.52 
                 64.2 
               
               
                 10 
                 Cover 
                 ∞ 
                 0.4000 
                 1.53 
                 62.2 
               
               
                 11 
                   
                   
                 0.0331 
               
               
                 image 
               
               
                   
               
               
                 *aspherical surface 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 6 
               
             
          
           
               
                   
                 K 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
               
               
                   
                   
               
             
          
           
               
                 *R12 
                 5.7043E+03 
                 1.0362E−01 
                 −1.4221E−01 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R21 
                 −5.4186E+00 
                 1.2622E−01 
                 3.1406E−01 
                 −3.7062E+00 
                 1.3180E+01 
                 −1.6266E+01 
                 0.0000E+00 
               
               
                 *R22 
                 −1.1271E+00 
                 7.1043E−02 
                 −5.2649E−02 
                 1.0406E−01 
                 −2.6344E−01 
                 1.0380E+00 
                 −5.6416E−01 
               
               
                 *R31 
                 1.5959E+00 
                 −1.6426E−01 
                 −5.0003E−02 
                 2.3814E−01 
                 −4.2407E−01 
                 −2.2859E−01 
                 8.0096E−01 
               
               
                 *R32 
                 −7.3641E−01 
                 5.8734E−02 
                 −1.2788E−01 
                 2.3658E−01 
                 −2.4453E−01 
                 1.1636E−01 
                 −1.2160E−02 
               
               
                 *R41 
                 −3.0797E+00 
                 2.0432E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R42 
                 −5.5640E−03 
                 −3.8142E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                   
               
             
          
         
       
     
         [0050]    In this embodiment, the first lens  11  is made from glass with the refractive index N d1  of 1.59 and Abbe&#39;s number ν d1  of 61.2, the second lens  12  is made from glass with the refractive index N d2  of 1.59 and Abbe&#39;s number ν d2  of 61.2, the third lens  13  is made from glass with the refractive index N d3  of 1.58 and Abbe&#39;s number ν d3  of 59.4 while the fourth lens  14  is made from glass with the refractive index N d4  of 1.58 and Abbe&#39;s number ν d4  of 59.4. The IR cut-off filter  15  is made from BK7-SCHOTT glass. The surface glass  16  is made from AF45-SCHOTT glass. 
         [0051]    In this embodiment, fs is obtained 3.7186 mm, and Bf is obtained 1.0366 mm. The object surface R 41  is an aspherical concave surface without inflection point and is easy to be processed and manufactured while both flare and ghost image are reduced. The effective height H t  of the image side surface R 42  is 2.0289 mm, the perpendicular distance from the inflection point to the optical axis H −  is 0.9075 mm, TL is 4.78 mm; 
         [0000]    
       
         
           
             
               
                 
                   d 
                    
                   
                       
                   
                    
                   2 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   4 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   6 
                 
               
               
                 f 
                 s 
               
             
             = 
             0.3022 
           
         
       
       
         
           
             
               
                 Y 
                 · 
                 
                   tan 
                    
                   
                     ( 
                     ω 
                     ) 
                   
                 
               
               Bf 
             
             = 
             2.5968 
           
         
       
       
         
           
             
               
                 H 
                 - 
               
               
                 H 
                 t 
               
             
             = 
             
               44.7 
                
               % 
             
           
         
       
       
         
           
             
               TL 
               
                 f 
                 s 
               
             
             = 
             1.2864 
           
         
       
       
         
           
             
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 + 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 - 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
             
             = 
             2.5606 
           
         
       
     
         [0052]    The equation (1) to equation (5) are satisfied by above parameters. 
         [0053]    As shown in  FIG. 8 , the imaging lens system  1  of the present invention provide effective aberration correction and the overall length thereof can be effectively reduced so as to increase applications of the present invention. 
       The Fourth Embodiment 
       [0054]    Refer to  FIG. 9 . 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 7 
               
               
                 fs = 3.75 Fno = 2.8 2ω = 62 
               
             
          
           
               
                 Surface 
                 Lens 
                 Radius 
                 Thickness 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 Object 
                   
                   
                   
                   
                   
               
               
                  1 
                  R11 
                 1.3150 
                 0.6000 
                 1.59 
                 61.2 
               
               
                  2(Stop) 
                 *R12 
                 63.5630 
                 0.0500 
               
               
                  3 
                 *R21 
                 5.4564 
                 0.3000 
                 1.61 
                 26.32 
               
               
                  4 
                 *R22 
                 1.5731 
                 0.6485 
               
               
                  5 
                 *R31 
                 −1.9216 
                 0.5858 
                 1.53 
                 55.74 
               
               
                  6 
                 *R32 
                 −1.0169 
                 0.4528 
               
               
                  7 
                 *R41 
                 −1.9200 
                 0.4500 
                 1.53 
                 55.74 
               
               
                  8 
                 *R42 
                 14.9300 
                 0.3500 
               
               
                  9 
                 IR 
                 ∞ 
                 0.3000 
                 1.52 
                 64.2 
               
               
                 10 
                 Cover 
                 ∞ 
                 0.4000 
                 1.53 
                 62.2 
               
               
                 11 
                   
                 ∞ 
                 0.1437 
               
               
                 image 
               
               
                   
               
               
                 *aspherical surface 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 8 
               
             
          
           
               
                   
                 K 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
               
               
                   
                   
               
             
          
           
               
                 *R12 
                 −8.3779E−01 
                 1.0200E−01 
                 −1.1879E−01 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R21 
                 −3.1100E+01 
                 1.1842E−01 
                 3.6418E−01 
                 −3.9743E+00 
                 1.3320E+01 
                 −1.6265E+01 
                 0.0000E+00 
               
               
                 *R22 
                 7.6219E−01 
                 7.4505E−02 
                 −4.6037E−02 
                 2.3289E−01 
                 −2.1494E−01 
                 7.1997E−01 
                 −9.8624E−01 
               
               
                 *R31 
                 3.9534E−01 
                 −1.2191E−01 
                 −4.2525E−02 
                 2.4137E−01 
                 −4.5088E−01 
                 −2.5330E−01 
                 7.7671E−01 
               
               
                 *R32 
                 −8.4216E−01 
                 4.5005E−02 
                 −1.1982E−01 
                 2.3549E−01 
                 −2.4629E−01 
                 1.1656E−01 
                 −1.0718E−02 
               
               
                 *R41 
                 −5.8360E+00 
                 1.2068E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R42 
                 −3.5714E−01 
                 −4.5481E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                   
               
             
          
         
       
     
         [0055]    In this embodiment, the first lens  11  is made from glass with the refractive index N d1  of 1.59 and Abbe&#39;s number ν d1  of 61.2, the second lens  12  is made from plastic with the refractive index N d2  of 1.61 and Abbe&#39;s number ν d2  of 26.32, the third lens  13  is made from plastic with the refractive index N d3  of 1.53 and Abbe&#39;s number ν d3  of 55.74 while the fourth lens  14  is made from plastic with the refractive index N d4  of 1.53 and Abbe&#39;s number ν d4  of 55.74. The IR cut-off filter  15  is made from BK7-SCHOTT glass. The surface glass  16  is made from AF45-SCHOTT glass. 
         [0056]    In this embodiment, fs is obtained 3.750 mm, and Bf is obtained 1.1936 mm. The object surface R 41  is an aspherical concave surface without inflection point and is easy to be processed and manufactured while both flare and ghost image are reduced. The effective height H t  of the image side surface R 42  is 1.9055 mm, the perpendicular distance from the inflection point to the optical axis H −  is 0.8424 mm, TL is 4.28 mm; 
         [0000]    
       
         
           
             
               
                 
                   d 
                    
                   
                       
                   
                    
                   2 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   4 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   6 
                 
               
               
                 f 
                 s 
               
             
             = 
             0.3070 
           
         
       
       
         
           
             
               
                 Y 
                 · 
                 
                   tan 
                    
                   
                     ( 
                     ω 
                     ) 
                   
                 
               
               Bf 
             
             = 
             2.2552 
           
         
       
       
         
           
             
               
                 H 
                 - 
               
               
                 H 
                 t 
               
             
             = 
             
               44.21 
                
               % 
             
           
         
       
       
         
           
             
               TL 
               
                 f 
                 s 
               
             
             = 
             1.1415 
           
         
       
       
         
           
             
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 + 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 - 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
             
             = 
             3.2477 
           
         
       
     
         [0057]    The equation (1) to equation (5) are satisfied by above parameters. 
         [0058]    As shown in  FIG. 10 , the imaging lens system  1  of the present invention provide effective aberration correction and the overall length thereof can be effectively reduced so as to increase applications of the present invention. 
       The Fifth Embodiment 
       [0059]    Refer to  FIG. 11 . 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 9 
               
               
                 fs = 3.7471 Fno = 2.8 2ω = 62 
               
             
          
           
               
                 Surface 
                 Lens 
                 Radius 
                 Thickness 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 Object 
                   
                   
                   
                   
                   
               
               
                  1 
                 *R11 
                 2.0270 
                 1.3000 
                 1.54 
                 56 
               
               
                  2(Stop) 
                 *R12 
                 13.5107 
                 0.0796 
               
               
                  3 
                 *R21 
                 2.6210 
                 0.3000 
                 1.54 
                 56 
               
               
                  4 
                 *R22 
                 2.3738 
                 0.5307 
               
               
                  5 
                 *R31 
                 −2.4646 
                 1.0206 
                 1.54 
                 56 
               
               
                  6 
                 *R32 
                 −0.9103 
                 0.4992 
               
               
                  7 
                 *R41 
                 −1.3523 
                 0.4000 
                 1.54 
                 56 
               
               
                  8 
                 *R42 
                 5.7385 
                 0.3016 
               
               
                  9 
                 IR 
                 ∞ 
                 0.3000 
                 1.52 
                 64.2 
               
               
                 10 
                 Cover 
                 ∞ 
                 0.4000 
                 1.53 
                 62.2 
               
               
                 11 
                   
                   
                 0.0588 
               
               
                 image 
               
               
                   
               
               
                 *aspherical surface 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 10 
               
             
          
           
               
                   
                 K 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
               
               
                   
                   
               
             
          
           
               
                 *R11 
                 1.7706E−01 
                 −1.1006E−03 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R12 
                 −3.5714E+01 
                 7.6626E−02 
                 −7.6752E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R21 
                 −8.5374E+00 
                 1.0227E−01 
                 3.3213E−01 
                 −3.6233E+00 
                 1.2368E+01 
                 −1.5030E+01 
                 0.0000E+00 
               
               
                 *R22 
                 −4.7402E+00 
                 3.6071E−02 
                 −5.8807E−02 
                 8.3431E−03 
                 −2.7492E−01 
                 1.1869E+00 
                 −1.2354E+00 
               
               
                 *R31 
                 1.9900E+00 
                 −1.8619E−01 
                 −5.5440E−03 
                 2.0746E−01 
                 −4.3817E−01 
                 −2.3130E−01 
                 7.9762E−01 
               
               
                 *R32 
                 −7.5187E−01 
                 7.4326E−02 
                 −1.3193E−01 
                 2.3854E−01 
                 −2.4322E−01 
                 1.1663E−01 
                 −1.1855E−02 
               
               
                 *R41 
                 −2.9167E+00 
                 2.2215E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R42 
                 −1.4512E+00 
                 −4.4454E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                   
               
             
          
         
       
     
         [0060]    In this embodiment, for economizing the material cost, the first lens  11 , second lens  12 , third lens  13  and fourth lens  14  are made from plastic with the refractive index N d  of 1.54 and Abbe&#39;s number ν d  of 56 respectively. The IR cut-off filter  15  is made from BK7-SCHOTT glass. The surface glass  16  is made from AF45-SCHOTT glass. 
         [0061]    In this embodiment, fs is obtained 3.7471 mm, and Bf is obtained 1.0604 mm. The object surface R 41  is an aspherical concave surface without inflection point and is easy to be processed and manufactured while both flare and ghost image are reduced. The effective height H t  of the image side surface R 42  is 2.0966 mm, the perpendicular distance from the inflection point to the optical axis H −  is 1.098 mm, TL is 5.19 mm; 
         [0000]    
       
         
           
             
               
                 
                   d 
                    
                   
                       
                   
                    
                   2 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   4 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   6 
                 
               
               
                 f 
                 s 
               
             
             = 
             0.2961 
           
         
       
       
         
           
             
               
                 Y 
                 · 
                 
                   tan 
                    
                   
                     ( 
                     ω 
                     ) 
                   
                 
               
               Bf 
             
             = 
             2.5385 
           
         
       
       
         
           
             
               
                 H 
                 - 
               
               
                 H 
                 t 
               
             
             = 
             
               52.4 
                
               % 
             
           
         
       
       
         
           
             
               TL 
               
                 f 
                 s 
               
             
             = 
             1.3852 
           
         
       
       
         
           
             
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 + 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 - 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
             
             = 
             2.1714 
           
         
       
     
         [0062]    The equation (1) to equation (5) are satisfied by above parameters. 
         [0063]    As shown in  FIG. 12 , the imaging lens system  1  of the present invention provide effective aberration correction and the overall length thereof can be effectively reduced so as to increase applications of the present invention. 
       The Sixth Embodiment 
       [0064]    Refer to  FIG. 13 . 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 11 
               
               
                 fs = 3.9247 Fno = 2.8 2ω = 60 
               
             
          
           
               
                 Surface 
                 Lens 
                 Radius 
                 Thickness 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 Object 
                   
                   
                   
                   
                   
               
               
                  1 
                  R11 
                 1.3150 
                 0.6000 
                 1.59 
                 61.2 
               
               
                  2(Stop) 
                 *R12 
                 63.5630 
                 0.0500 
               
               
                  3 
                 *R21 
                 6.9850 
                 0.3000 
                 1.59 
                 30 
               
               
                  4 
                 *R22 
                 1.6076 
                 0.7194 
               
               
                  5 
                 *R31 
                 −1.8910 
                 0.5687 
                 1.53 
                 55.74 
               
               
                  6 
                 *R32 
                 −1.0137 
                 0.4280 
               
               
                  7 
                 *R41 
                 −1.9200 
                 0.4500 
                 1.53 
                 55.74 
               
               
                  8 
                 *R42 
                 14.9300 
                 0.3922 
               
               
                  9 
                 IR 
                 ∞ 
                 0.3000 
                 1.52 
                 64.2 
               
               
                 10 
                 Cover 
                 ∞ 
                 0.4000 
                 1.53 
                 62.2 
               
               
                 11 
                   
                   
                 0.1875 
               
               
                 image 
               
               
                   
               
               
                 *aspherical surface 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 12 
               
             
          
           
               
                   
                 K 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
               
               
                   
                   
               
             
          
           
               
                 *R12 
                 −1.0000E+00 
                 1.0200E−01 
                 −1.1879E−01 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R21 
                 −2.7969E+01 
                 1.2334E−01 
                 2.9064E−01 
                 −3.6382E+00 
                 1.2731E+01 
                 −1.6265E+01 
                 0.0000E+00 
               
               
                 *R22 
                 1.2710E+00 
                 8.5849E−02 
                 −1.7224E−02 
                 −9.9426E−03 
                 3.5649E−01 
                 1.4857E−01 
                 −9.8626E−01 
               
               
                 *R31 
                 −2.5054E−01 
                 −1.4117E−01 
                 3.3011E−02 
                 1.2928E−01 
                 −4.1787E−01 
                 2.4815E−01 
                 1.5372E−01 
               
               
                 *R32 
                 −9.8861E−01 
                 4.0442E−02 
                 −8.7909E−02 
                 1.9441E−01 
                 −1.9996E−01 
                 1.0480E−01 
                 −1.7070E−02 
               
               
                 *R41 
                 −6.9660E+00 
                 1.2068E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R42 
                 −1.0000E+00 
                 −4.5481E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                   
               
             
          
         
       
     
         [0065]    In this embodiment, the first lens  11  is made from glass with the refractive index N d1  of 1.59 and Abbe&#39;s number ν d1  of 61.2, the second lens  12  is made from plastic with the refractive index N d2  of 1.59 and Abbe&#39;s number ν d2  of 30, the third lens  13  is made from plastic with the refractive index N d3  of 1.53 and Abbe&#39;s number ν d3  of 55.74 while the fourth lens  14  is made from plastic with the refractive index N d4  of 1.53 and Abbe&#39;s number ν d4  of 55.74. The IR cut-off filter  15  is made from BK7-SCHOTT glass. The surface glass  16  is made from AF45-SCHOTT glass. 
         [0066]    In this embodiment, fs obtained is 3.9247 mm, and Bf is obtained 1.2797 mm. The object surface R 41  is an aspherical concave surface without inflection point and is easy to be processed and manufactured while both flare and ghost image are reduced. The effective height H t  of the image side surface R 42  is 1.8822 mm, the perpendicular distance from the inflection point to the optical axis H −  is 0.7948 mm, TL is 4.39 mm; 
         [0000]    
       
         
           
             
               
                 
                   d 
                    
                   
                       
                   
                    
                   2 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   4 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   6 
                 
               
               
                 f 
                 s 
               
             
             = 
             0.3051 
           
         
       
       
         
           
             
               
                 Y 
                 · 
                 
                   tan 
                    
                   
                     ( 
                     ω 
                     ) 
                   
                 
               
               Bf 
             
             = 
             2.0212 
           
         
       
       
         
           
             
               
                 H 
                 - 
               
               
                 H 
                 t 
               
             
             = 
             
               42.23 
                
               % 
             
           
         
       
       
         
           
             
               TL 
               
                 f 
                 s 
               
             
             = 
             1.120 
           
         
       
       
         
           
             
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 + 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 - 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
             
             = 
             3.311 
           
         
       
     
         [0067]    The equation (1) to equation (5) are satisfied by above parameters. 
         [0068]    As shown in  FIG. 14 , the imaging lens system  1  of the present invention provide effective aberration correction and the overall length thereof can be effectively reduced so as to increase applications of the present invention. 
       The Seventh Embodiment 
       [0069]    Refer to  FIG. 15 . 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 13 
               
               
                 fs = 3.4402 Fno = 2.8 2ω = 66.2 
               
             
          
           
               
                 Surface 
                 Lens 
                 Radius 
                 Thickness 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 Object 
                   
                   
                   
                   
                   
               
               
                  1 
                  R11 
                 1.3150 
                 0.6000 
                 1.59 
                 61.2 
               
               
                  2(Stop) 
                 *R12 
                 63.5630 
                 0.0500 
               
               
                  3 
                 *R21 
                 3.5519 
                 0.3000 
                 1.59 
                 30 
               
               
                  4 
                 *R22 
                 1.3347 
                 0.6274 
               
               
                  5 
                 *R31 
                 −2.9381 
                 0.6728 
                 1.53 
                 55.74 
               
               
                  6 
                 *R32 
                 −0.8027 
                 0.2446 
               
               
                  7 
                 *R41 
                 −1.0477 
                 0.4500 
                 1.53 
                 55.74 
               
               
                  8 
                 *R42 
                 14.7194 
                 0.3000 
               
               
                  9 
                 IR 
                 ∞ 
                 0.3000 
                 1.52 
                 64.2 
               
               
                 10 
                 Cover 
                 ∞ 
                 0.4000 
                 1.53 
                 62.2 
               
               
                 11 
                   
                   
                 0.1053 
               
               
                 image 
               
               
                   
               
               
                 *aspherical surface 
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 List 14 
               
             
          
           
               
                   
                 K 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
               
               
                   
                   
               
             
          
           
               
                 *R12 
                 −9.0475E−01 
                 1.0200E−01 
                 −1.1879E−01 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R21 
                 2.0445E−01 
                 7.2639E−02 
                 1.3150E−01 
                 −2.5498E+00 
                 1.0784E+01 
                 −1.6439E+01 
                 0.0000E+00 
               
               
                 *R22 
                 −2.1173E−01 
                 8.2616E−02 
                 −3.7401E−01 
                 2.4329E+00 
                 −1.4882E+00 
                 −2.4127E+01 
                 5.3395E+01 
               
               
                 *R31 
                 7.6536E+00 
                 −1.5287E−01 
                 −4.4648E−02 
                 6.0543E−01 
                 −1.0436E+00 
                 1.7592E−01 
                 6.4101E−01 
               
               
                 *R32 
                 −1.4093E+00 
                 4.7128E−02 
                 −1.3406E−01 
                 2.0393E−01 
                 −8.2276E−02 
                 −4.2742E−02 
                 3.1844E−02 
               
               
                 *R41 
                 −2.9173E+00 
                 1.2329E−01 
                 −3.3173E−02 
                 3.2990E−03 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                 *R42 
                 2.4605E+01 
                 −4.5961E−02 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
                 0.0000E+00 
               
               
                   
               
             
          
         
       
     
         [0070]    In this embodiment, the first lens  11  is made from glass with the refractive index N d1  of 1.59 and Abbe&#39;s number ν d1  of 61.2, the second lens  12  is made from plastic with the refractive index N d2  of 1.59 and Abbe&#39;s number ν d2  of 30, the third lens  13  is made from plastic with the refractive index N d3  of 1.53 and Abbe&#39;s numberν d3  of 55.74 while the fourth lens  14  is made from plastic with the refractive index N d4  of 1.53 and Abbe&#39;s number ν d4  of 55.74. The IR cut-off filter  15  is made from BK7-SCHOTT glass. The surface glass  16  is made from AF45-SCHOTT glass. 
         [0071]    In this embodiment, fs is obtained 3.4402 mm, and Bf is obtained 1.1052 mm. The object surface R 41  is an aspherical concave surface without inflection point and is easy to be processed and manufactured while both flare and ghost image are reduced. The effective height H t  of the image side surface R 42  is 1.8854 mm, the perpendicular distance from the inflection point to the optical axis H —  is 0.809 mm, TL is 4.05 mm; 
         [0000]    
       
         
           
             
               
                 
                   d 
                    
                   
                       
                   
                    
                   2 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   4 
                 
                 + 
                 
                   d 
                    
                   
                       
                   
                    
                   6 
                 
               
               
                 f 
                 s 
               
             
             = 
             0.2680 
           
         
       
       
         
           
             
               
                 Y 
                 · 
                 
                   tan 
                    
                   
                     ( 
                     ω 
                     ) 
                   
                 
               
               Bf 
             
             = 
             2.2463 
           
         
       
       
         
           
             
               
                 H 
                 - 
               
               
                 H 
                 t 
               
             
             = 
             
               42.9 
                
               % 
             
           
         
       
       
         
           
             
               TL 
               
                 f 
                 s 
               
             
             = 
             1.177 
           
         
       
       
         
           
             
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 + 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
               
                 
                   R 
                    
                   
                       
                   
                    
                   31 
                 
                 - 
                 
                   R 
                    
                   
                       
                   
                    
                   32 
                 
               
             
             = 
             1.7517 
           
         
       
     
         [0072]    The equation (1) to equation (5) are satisfied by above parameters. 
         [0073]    As shown in  FIG. 16 , the imaging lens system  1  of the present invention provide effective aberration correction and the overall length thereof can be effectively reduced so as to increase applications of the present invention. 
         [0074]    Additional advantages and modifications will readily occur to those skilled in the art. Therefore, the invention in its broader aspects is not limited to the specific details, and representative devices shown and described herein. Accordingly, various modifications may be made without departing from the spirit or scope of the general inventive concept as defined by the appended claims and their equivalents.