Abstract:
There is provided a lens module, including: a first lens having positive refractive power, an object-sided surface thereof being convex; a second lens having negative refractive power, an image-sided surface thereof being concave; a third lens having positive refractive power; a fourth lens having negative refractive power, an image-sided surface thereof being convex; and a fifth lens having negative refractive power, an image-sided surface thereof being concave, wherein the fourth lens satisfies Conditional Expression 1, 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       4 
                     
                     f 
                   
                   &lt; 
                   
                     - 
                     3.0 
                   
                 
               
               
                 
                   [ 
                   
                     Conditional 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     1 
                   
                   ] 
                 
               
             
           
         
       
       
         
           
             where f is an overall focal distance of an optical system and f 4  is a focal distance of the fourth lens.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is a continuation application of U.S. patent application Ser. No. 13/588,208 of Aug. 17, 2012, which claims the priority of Korean Patent Application No. 10-2012-0062652 filed on Jun. 12, 2012, in the Korean Intellectual Property Office, the disclosure of which is incorporated by reference in their entireties. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates to a lens module for a camera, and more particularly, to a lens module capable of realizing a high-resolution performance and a bright optical system. 
     2. Description of the Related Art 
     Recent mobile communications terminals have a camera provided therewith, allowing for video communications and photography. In addition, as the functionality of cameras included in mobile terminals has gradually increased, cameras for a mobile terminal have gradually been required to have high resolution and high functionality. 
     However, there is a trend for mobile terminals to be smaller and a lighter weight, and thus, there may be a limit in realizing a highly-functional camera having high-resolution. 
     In order to solve these limits, recently, the lens of the camera has been formed of plastic having a lighter weight than glass, and 4 or more lenses constituting a lens module have been provided to realize high resolution. 
     However, an improvement of chromatic aberration is more difficult in a lens made of plastic than in a lens made of glass, and also, it is difficult to realize a relatively bright optical system in the plastic lens as compared to the glass lens. 
     Meanwhile, Patent Documents 1 and 2 disclose lens modules for realizing a high-resolution camera in the related art.
     (Patent Document 1) KR2012-018573 A   (Patent Document 2) KR2007-097369 A   

     SUMMARY OF THE INVENTION 
     An aspect of the present invention provides a lens module capable of realizing a high-resolution performance and a bright optical system. 
     According to an aspect of the present invention, there is provided a lens module, including: a first lens having positive refractive power, an object-sided surface thereof being convex; a second lens having negative refractive power, an image-sided surface thereof being concave; a third lens having positive refractive power; a fourth lens having negative refractive power, an image-sided surface thereof being convex; and a fifth lens having negative refractive power, an image-sided surface thereof being concave, wherein the fourth lens satisfies Conditional Expression 1, 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       4 
                     
                     f 
                   
                   &lt; 
                   
                     - 
                     3.0 
                   
                 
               
               
                 
                   [ 
                   
                     Conditional 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     1 
                   
                   ] 
                 
               
             
           
         
       
     
     where f is an overall focal distance of an optical system and f 4  is a focal distance of the fourth lens. 
     The first lens and the fourth lens may satisfy Conditional Expression 2,
 
20&lt;ν 1 −ν 4 &lt;40  [Conditional Expression 2]
 
     where ∪1 is an abbe number of the first lens, and ∪4 is an abbe number of the fourth lens. 
     The first lens and the fourth lens may satisfy Conditional Expression 3, 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       4 
                     
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       1 
                     
                   
                   &lt; 
                   
                     - 
                     5.0 
                   
                 
               
               
                 
                   [ 
                   
                     Conditional 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     3 
                   
                   ] 
                 
               
             
           
         
       
     
     where f 1  is a focal distance of the first lens, and f 4  is the focal distance of the fourth lens. 
     The lens module may satisfy Conditional Expression 4, 
     
       
         
           
             
               
                 
                   0.5 
                   &lt; 
                   
                     TL 
                     f 
                   
                   &lt; 
                   2.0 
                 
               
               
                 
                   [ 
                   
                     Conditional 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     4 
                   
                   ] 
                 
               
             
           
         
       
     
     where TL is a distance from the object-sided surface of the first lens to an upper surface of an image sensor, and f is the overall focal distance of the optical system. 
     The third lens may have a convex image-sided surface. 
     The fourth lens may have a meniscus shape. 
     The fifth lens may have at least one inflection point formed on the image-sided surface thereof. 
     According to another aspect of the present invention, there is provided a lens module, including: a first lens having positive refractive power, an object-sided surface thereof being convex; a second lens having negative refractive power, an image-sided surface thereof being concave; a third lens having a meniscus shape convex toward an image; a fourth lens having negative refractive power, an image-sided surface thereof being convex; and a fifth lens having negative refractive power, an image-sided surface thereof being concave, 
     wherein the fourth lens satisfies Conditional Expression 1, 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       4 
                     
                     f 
                   
                   &lt; 
                   
                     - 
                     3.0 
                   
                 
               
               
                 
                   [ 
                   
                     Conditional 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     1 
                   
                   ] 
                 
               
             
           
         
       
     
     where f is an overall focal distance of an optical system and f 4  is a focal distance of the fourth lens. 
     The first lens and the fourth lens may satisfy Conditional Expression 2,
 
20&lt;ν 1 −ν 4 &lt;40  [Conditional Expression 2]
 
     where ∪1 is an abbe number of the first lens, and ∪4 is an abbe number of the fourth lens. 
     The first lens and the fourth lens may satisfy Conditional Expression 3, 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       4 
                     
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       1 
                     
                   
                   &lt; 
                   
                     - 
                     5.0 
                   
                 
               
               
                 
                   [ 
                   
                     Conditional 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     3 
                   
                   ] 
                 
               
             
           
         
       
     
     where f 1  is a focal distance of the first lens, and f 4  is the focal distance of the fourth lens. 
     The lens module may satisfy Conditional Expression 4, 
     
       
         
           
             
               
                 
                   0.5 
                   &lt; 
                   
                     TL 
                     f 
                   
                   &lt; 
                   2.0 
                 
               
               
                 
                   [ 
                   
                     Conditional 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     4 
                   
                   ] 
                 
               
             
           
         
       
     
     where TL is a distance from the object-sided surface of the first lens to an upper surface of an image sensor, and f is the overall focal distance of the optical system. 
     The third lens may be convex toward the image. 
     The fifth lens may have at least one inflection point formed on at least one of an object-sided surface and the image-sided surface thereof. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The above and other aspects, features and other advantages of the present invention will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings, in which: 
         FIG. 1  is a structural view of a lens module according to a first embodiment of the present invention; 
         FIGS. 2A ,  2 B, and  2 C are graphs showing aberration characteristics of the lens module of  FIG. 1 ; 
         FIG. 3  is a structural view of a lens module according to a second embodiment of the present invention; 
         FIGS. 4A ,  4 B, and  4 C are graphs showing aberration characteristics of the lens module of  FIG. 3 ; 
         FIG. 5  is a structural view of a lens module according to a third embodiment of the present invention; 
         FIGS. 6A ,  6 B, and  6 C are graphs showing aberration characteristics of the lens module of  FIG. 5 ; 
         FIG. 7  is a structural view of a lens module according to a fourth embodiment of the present invention; 
         FIGS. 8A ,  8 B, and  8 C are graphs showing aberration characteristics of the lens module of  FIG. 7 ; 
         FIG. 9  is a structural view of a lens module according to a fifth embodiment of the present invention; and 
       FIGS .  10 A,  10 B, and  10 C are graphs showing aberration characteristics of the lens module of  FIG. 9 . 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings. 
     In describing the present invention below, terms indicating components of the present invention are named in consideration of functions thereof. Therefore, the terms should not be understood as limiting technical components of the present invention. 
     For reference, it is to be noted that, in the present specification, the term “front” refers to a direction toward an object from a lens module, while the term “rear” refers to a direction toward an image sensor from a lens module. In addition, it is to be noted that, in each lens, a first surface refers to a surface toward an object and a second surface refers to a surface adjacent to an image. 
       FIG. 1  is a structural view of a lens module according to a first embodiment of the present invention;  FIGS. 2A ,  2 B, and  2 C are graphs showing aberration characteristics of the lens module of  FIG. 1 ;  FIG. 3  is a structural view of a lens module according to a second embodiment of the present invention;,  FIGS. 4A ,  4 B, and  4 C are graphs showing aberration characteristics of the lens module of  FIG. 3 ;  FIG. 5  is a structural view of a lens module according to a third embodiment of the present invention;  FIGS. 6A ,  6 B, and  6 C are graphs showing aberration characteristics of the lens module of  FIG. 5 ;  FIG. 7  is a structural view of a lens module according to a fourth embodiment of the present invention;  FIGS. 8A ,  8 B, and  8 C are graphs showing aberration characteristics of the lens module of  FIG. 7 ;  FIG. 9  is a structural view of a lens module according to a fifth embodiment of the present invention; and  FIGS. 10A ,  10 B, and  10 C are graphs showing aberration characteristics of the lens module of  FIG. 9 . 
     A lens module  100  according to the present invention may include a first lens  10 , a second lens  20 , a third lens  30 , a fourth lens  40 , and a fifth lens  50 , and may selectively further include an aperture and a filter member  60 , and an image sensor  70 . The first lens  10  to the fifth lens  50  may be sequentially disposed from an object (that is, a subject or an object to be photographed) toward an image (that is, the image sensor). 
     The first lens  10 , the second lens  20 , the third lens  30 , the fourth lens  40 , and the fifth lens  50  may be all formed of plastic. As such, when all the lenses  10 ,  20 ,  30 ,  40  and  50  are formed of plastic, the manufacturing cost of the lens module  100  may be reduced and the lens modules  100  may be conveniently mass-produced. In addition, when the lenses  10 ,  20 ,  30 ,  40 , and  50  are formed of plastic, first and second surfaces S 1 , S 2 , S 3 , S 4 , S 5 , S 6 , S 7 , S 8 , S 9 , and S 10  of the lenses are easily processed, and thus, the surfaces of the lenses may be formed to have a spherical or aspherical shape. 
     In the lens module  100 , the first lens  10  may be disposed closest to the object. 
     The first lens  10  may have positive refractive power overall. In addition, the first surface S 1  of the first lens  10  may be convex toward the object, and the second surface S 2  thereof may be convex toward the image. In detail, the first surface S 1  may be more convex than the second surface S 2 . 
     At least one of the first surface S 1  and the second surface S 2  of the first lens  10  may be aspherical. However, as needed, both of the first surface S 1  and the second surface S 2  of the first lens  10  may be aspherical. 
     The second lens  20  may be disposed in the rear of the first lens  10  (that is, in the direction toward the image). The second lens  20  may have negative refractive power overall, and may be formed of plastic in like manner to the first lens  10 . 
     The first surface S 3  of the second lens  20  may be convex toward the object, and the second surface S 4  thereof may be concave toward the object. In addition, the second lens  20  may have at least one aspherical surface. For example, at least one of the first surface S 3  and the second surface S 4  of the second lens  20  may be aspherical. However, as needed, both of the first surface S 3  and the second surface S 4  of the second lens  20  may be aspherical. 
     The second lens  20  may have an abbe number satisfying Mathematical Expression 1 below.
 
ν2&lt;40  [Mathematical Expression 1]
 
     Here, ∪2 is the abbe number of the second lens. 
     As such, when the abbe number of the second lens  20  is below 40, chromatic aberration caused by the first lens  10  may be effectively corrected. When the abbe number of the second lens  20  is above 40, a difference between an abbe number of the first lens  10  and the abbe number of the second lens  20  may be reduced (In general, the abbe number of the first lens  10  is between 50 and 60), such that a chromatic aberration correction effect through the second lens  20  may be deteriorated. Therefore, the second lens  20  may be manufactured in such a manner that the abbe number thereof is below 40, as supposed in Mathematical Expression 1. The abbe number of the second lens  20  may be 20 to 30. 
     The third lens  30  may be disposed in the rear of the second lens  20 . The third lens  30  may have positive refractive power overall, and may be formed of plastic. However, as needed, the third lens  30  may have negative refractive power. 
     The first surface S 5  of the third lens  30  may be concave, and the second surface S 6  thereof may be convex toward the image. Here, in some cases, the first surface S 5  of the third lens  30  may be convex toward the object (please refer to the third embodiment of the present invention shown in  FIG. 5 ). 
     Meanwhile, the second lens  20  and the third lens  30  as described above may satisfy Mathematical Expression 2. 
     
       
         
           
             
               
                 
                   
                     - 
                     3.0 
                   
                   &lt; 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       3 
                     
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       2 
                     
                   
                   &lt; 
                   
                     - 
                     0.3 
                   
                 
               
               
                 
                   [ 
                   
                     Mathematical 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     2 
                   
                   ] 
                 
               
             
           
         
       
     
     Here, f 2  is a focal distance of the second lens  20  and f 3  is a focal distance of the third lens  30 . 
     In the lens module, if a value of f 3 /f 2  is below the lower limit according to Mathematical Expression 2, the refractive power of the second lens may be increased, and thus, it may be difficult to manufacture the second lens. In the same manner, in the lens module, if the value of f 3 /f 2  is above the upper limit according to Mathematical Expression 2, the refractive power of the third lens may be increased, and thus, it may be difficult to manufacture the third lens. 
     Therefore, it is desirable to satisfy conditions for Mathematical Expression 2 to allow for mass-production of the lens module. 
     The fourth lens  40  may be disposed in the rear of the third lens  30 . The fourth lens  40  may have negative refractive power, and may be formed of plastic. 
     The first surface S 7  of the fourth lens  40  may be concave, and the second surface S 8  thereof may be convex toward the image. In addition, the fourth lens  40  may have a meniscus shape, convex toward the image, overall. 
     The fourth lens  40  may satisfy Mathematical Expressions 3 to 5.
 
20&lt;ν1−ν4&lt;40  [Mathematical Expression 3]
 
     Here, ∪1 is the abbe number of the first lens, and ∪4 is an abbe number of the fourth lens. 
     Mathematical Expression 3 may be a limitation condition with respect to chromatic aberration of the lens module. That is, when a lens module satisfying Mathematical Expression 3 is manufactured, the chromatic aberration correction effect may be improved through the first lens  10  and the fourth lens  40 . However, if a value of ∪1−∪4 is below the lower limit according to Mathematical Expression 3, a lens of glass needs to be used, and thus, unit costs for manufacturing the lens module  100  may be increased. Unlike this, if the value of ∪1−∪4 is above the upper limit according to Mathematical Expression 3, the chromatic aberration correction effect may be deteriorated, and thus, it may be difficult to manufacture a lens module capable of realizing high resolution. 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       4 
                     
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       1 
                     
                   
                   &lt; 
                   
                     - 
                     5.0 
                   
                 
               
               
                 
                   [ 
                   
                     Mathematical 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     4 
                   
                   ] 
                 
               
             
           
         
       
     
     Here, f 1  is a focal distance of the first lens, and f 4  is a focal distance of the fourth lens. 
     Mathematical Expression 4 may be a limitation condition for limiting the refractive power of the fourth lens  40 . That is, if a value of f 4 /f 1  is above the upper limit according to Mathematical Expression 4, the refractive power of the fourth lens  40  in the lens module may be increased, and thus, resolution of the lens module  100  may be deteriorated or an overall length of the lens module  100  (that is, an overall length of the optical system) may be increased. 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       4 
                     
                     f 
                   
                   &lt; 
                   
                     - 
                     3.0 
                   
                 
               
               
                 
                   [ 
                   
                     Mathematical 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     5 
                   
                   ] 
                 
               
             
           
         
       
     
     Here, f is an overall focal distance of the lens module, and f 4  is the focal distance of the fourth lens. 
     Mathematical Expression 5 may be a limitation condition for limiting the refractive power of the fourth lens  40 , like Mathematical Expression 4. That is, if a value of f 4 /f is above the upper limit according to Mathematical Expression 5, the (negative) refractive power of the fourth lens  40  in the lens module may be increased, and thus, resolution of the lens module  100  may be deteriorated or the overall focal distance of the lens module may become excessively small, so that distortion correction may be difficult (or a viewing angle of the lens module may be excessively large, and thus, a distortion phenomenon may occur). 
     Therefore, Mathematical Expression 4 and Mathematical Expression 5 all may need to be satisfied in order to decrease the overall length of the lens module  100 . 
     The fifth lens  50  may be disposed in the rear of the fourth lens  40 . The fifth lens  50  may have negative refractive power, and may be formed of plastic. 
     The first surface S 9  of the fifth lens  50  may be convex toward the object at an intersection thereof with an optical axis (C-C) and may be concave at a peripheral portion thereof based on the optical axis (C-C). In addition, the second surface S 10  of the fifth lens  50  may be concave at an intersection thereof with the optical axis (C-C) and may be convex at a peripheral portion thereof based on the optical axis (C-C). That is, at least one inflection point may be formed on the first surface S 9  and the second surface S 10  of the fifth lens  50 . 
     The filter member  60  may be disposed in the rear of the fifth lens  50 . Both surfaces of the filter member  60  may flat planes, and may be formed of a material other than plastic. For example, the filter member  60  may be formed of glass. 
     The filter member  60  may block infrared light. To achieve this, an IR blocking film may be attached to, or an IR blocking layer may be coated on, at least one surface of the filter member  60 . Meanwhile, the filter member  60  may be omitted, depending on the type of the lens module  100 . 
     The image sensor  70  may be disposed in the rear of the filter member  60 . 
     The image sensor  70  may convert an image of the object, incident through the lenses  10 ,  20 ,  30 ,  40 , and  50  into an electric signal. A charge-coupled device (CCD), complementary metal-oxide-semiconductor (CMOS), or the like, may be used for the image sensor  70 , and the image sensor  70  may be manufactured in the form of chip scale package (CSP). 
     The aperture (not shown) may be disposed in front of the first lens  10  or between the first lens  10  and the second lens  20 . However, the aperture may be omitted as needed. 
     The lens module  100  as described above may satisfy Mathematical Expression 6. 
     
       
         
           
             
               
                 
                   0.5 
                   &lt; 
                   
                     TL 
                     f 
                   
                   &lt; 
                   2.0 
                 
               
               
                 
                   [ 
                   
                     Mathematical 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     Expression 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     6 
                   
                   ] 
                 
               
             
           
         
       
     
     Here, TL is an overall length of the optical system (a length from the first surface S 1  of the first lens to an upper surface of the image sensor  70 ), and f is the overall focal distance of the optical system. 
     Mathematical Expression 6 may be a numerical value for limiting the viewing angle and the length of the lens module. That is, if a value of TL/f is below the lower limit according to Mathematical Expression 6, it may be difficult to obtain the viewing angle of the lens module  100 . On the contrary, if the value of TL/f is above the upper limit according to Mathematical Expression 6, the length (that is, TL) of the lens module  100  is extended, and thus, it is difficult to manufacture the lens module  100  so as to have a small size. 
     Meanwhile, at least one surface of the first lens  10  to the fourth lens  40  may be aspherical. Aspherical coefficients of the lenses may be calculated by using Mathematical Expression 7. 
     
       
         
           
             
               
                 
                   
                       
                   
                   ⁢ 
                   
                     [ 
                     
                       Mathematical 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       Expression 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       7 
                     
                     ] 
                   
                 
               
               
                 
                     
                 
               
             
             
               
                 
                   z 
                   = 
                   
                     
                       
                         c 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           h 
                           2 
                         
                       
                       
                         1 
                         + 
                         
                           SQRT 
                           ⁢ 
                           
                             { 
                             
                               1 
                               - 
                               
                                 
                                   ( 
                                   
                                     1 
                                     + 
                                     k 
                                   
                                   ) 
                                 
                                 ⁢ 
                                 
                                   c 
                                   2 
                                 
                                 ⁢ 
                                 
                                   h 
                                   2 
                                 
                               
                             
                             } 
                           
                         
                       
                     
                     + 
                     
                       A 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         h 
                         4 
                       
                     
                     + 
                     
                       B 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         h 
                         6 
                       
                     
                     + 
                     
                       C 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         h 
                         8 
                       
                     
                     + 
                     
                       D 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         h 
                         10 
                       
                     
                     + 
                     
                       E 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         h 
                         12 
                       
                     
                     + 
                     
                       F 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         h 
                         14 
                       
                     
                   
                 
               
               
                 
                     
                 
               
             
           
         
       
     
     Here, c is curvature (1/radius of curvature), h is a radius from the center to a specific position in the lens, K is a conic coefficient, A is a 4 th -order coefficient, B is a 6 th -order coefficient, C is an 8 th -order coefficient, D is a 10 th -order coefficient, E is an 12 th -order coefficient, F is a 14 th -order coefficient, and Z is sag at the specific position. 
     For reference, K, A, B, C, D, E, and F values for respective embodiments are shown in Tables 2, 4, 6, 8, and 10. 
     The lens module  100  as constructed above may realize high resolution through numerical limitations according to Mathematical Expressions 1 to 5, and may be miniaturized. 
     In addition, the lens module  100  may improve brightness of the lens module  100  by limiting the focal distance of the fourth lens  40  through Mathematical Expressions 4 and 5. 
     Tables 1 to 10 below show numeral values in several embodiments of the lens module  100  having the above construction. 
     (First Embodiment) 
     The lens module  100  according to the first embodiment of the present invention will be described with reference to  FIGS. 1 ,  2 A,  2 B, and  2 C. 
     The lens module  100  according to the first embodiment may include the first lens  10  having positive refractive power, the second lens  20  having negative refractive power, the third lens  30  having positive refractive power, the fourth lens  40  having negative refractive power, and the fifth lens  50  having negative refractive power. 
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
                 TABLE 1 
               
               
                   
                   
               
               
                   
                 Surface 
                 Radius of 
                 Thickness or 
                 Refractive 
                 Abbe 
               
               
                   
                 No. 
                 Curvature 
                 Distance 
                 Index 
                 No. (v) 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 S1 
                 1.381 
                 0.63 
                 1.544 
                 56.1 
               
               
                   
                 S2 
                 8.924 
                 0.09 
               
               
                   
                 S3 
                 4.656 
                 0.30 
                 1.632 
                 23.4 
               
               
                   
                 S4 
                 1.988 
                 0.37 
               
               
                   
                 S5 
                 −6.107 
                 0.37 
                 1.544 
                 56.1 
               
               
                   
                 S6 
                 −2.683 
                 0.42 
               
               
                   
                 S7 
                 −1.294 
                 0.44 
                 1.635 
                 24 
               
               
                   
                 S8 
                 −1.591 
                 0.10 
               
               
                   
                 S9 
                 2.674 
                 0.86 
                 1.544 
                 56.1 
               
               
                   
                 S10 
                 1.684 
                 0.18 
               
               
                   
                 S11 
                 Infinity 
                 0.30 
                 1.517 
                 64.2 
               
               
                   
                 S12 
                 Infinity 
                 0.71 
               
               
                   
                 img 
                 Infinity 
               
               
                   
                   
               
             
          
         
       
     
     In the lens module  100  of the present embodiment, the focal distance f 1  of the first lens  10  is 2.91 mm; the focal distance f 2  of the second lens  20  is −5.68 mm; the focal distance f 3  of the third lens  30  is 8.44 mm; the focal distance f 4  of the fourth lens  40  is −25.61 mm; the focal distance f 5  of the fifth lens  50  is −12.01 mm; the overall focal distance f is 4.12 mm; and F number (F No.) is 2.40. Meanwhile, TL according to the embodiment is 4.77 mm, the smallest among the accompanying embodiments, together with Embodiment 2. 
     
       
         
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Surface 
                   
                   
                   
                   
                   
                   
                   
               
               
                 No. 
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 S1 
                 −1.857E−01 
                 8.822E−03 
                 2.769E−02 
                 −5.482E−02 
                 6.735E−02 
                 −2.650E−03 
                 −3.576E−02 
               
               
                 S2 
                 0.000E+00 
                 −1.533E−01 
                 3.258E−01 
                 −4.407E−01 
                 3.643E−01 
                 −1.995E−01 
                 0.000E+00 
               
               
                 S3 
                 0.000E+00 
                 −2.557E−01 
                 4.932E−01 
                 −5.532E−01 
                 3.437E−01 
                 −1.596E−01 
                 0.000E+00 
               
               
                 S4 
                 3.390E+00 
                 −1.678E−01 
                 2.501E−01 
                 −1.168E−01 
                 −1.009E−01 
                 7.702E−02 
                 0.000E+00 
               
               
                 S5 
                 0.000E+00 
                 −1.242E−01 
                 3.027E−02 
                 5.238E−02 
                 1.532E−01 
                 −1.558E−01 
                 −3.302E−02 
               
               
                 S6 
                 0.000E+00 
                 −4.577E−02 
                 −2.435E−02 
                 9.005E−02 
                 8.243E−02 
                 −1.060E−01 
                 1.767E−02 
               
               
                 S7 
                 −7.750E+00 
                 −1.172E−01 
                 2.440E−02 
                 3.182E−02 
                 1.992E−02 
                 −4.579E−02 
                 1.490E−02 
               
               
                 S8 
                 −7.074E+00 
                 −1.305E−01 
                 6.054E−02 
                 5.414E−03 
                 −6.086E−03 
                 −1.476E−03 
                 6.415E−04 
               
               
                 S9 
                 −1.756E+01 
                 −1.810E−01 
                 8.834E−02 
                 −1.984E−02 
                 2.252E−03 
                 −1.045E−04 
                 0.000E+00 
               
               
                 S10 
                 −8.176E+00 
                 −6.832E−02 
                 1.848E−02 
                 −3.813E−03 
                 4.408E−04 
                 −1.997E−05 
                 0.000E+00 
               
               
                   
               
             
          
         
       
     
     (Second Embodiment) 
     The lens module  100  according to the second embodiment of the present invention will be described with reference to  FIGS. 3 ,  4 A,  4 B, and  4 C. 
     The lens module  100  according to the second embodiment may include the first lens  10  having positive refractive power, the second lens  20  having negative refractive power, the third lens  30  having positive refractive power, the fourth lens  40  having negative refractive power, and the fifth lens  50  having negative refractive power. 
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
                 TABLE 3 
               
               
                   
                   
               
               
                   
                 Surface 
                 Radius of 
                 Thickness or 
                 Refractive 
                 Abbe 
               
               
                   
                 No. 
                 Curvature 
                 Distance 
                 Index 
                 No. (v) 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 S1 
                 1.406 
                 0.65 
                 1.544 
                 56.1 
               
               
                   
                 S2 
                 11.651 
                 0.09 
               
               
                   
                 S3 
                 4.624 
                 0.28 
                 1.632 
                 23.4 
               
               
                   
                 S4 
                 1.950 
                 0.37 
               
               
                   
                 S5 
                 −6.459 
                 0.33 
                 1.544 
                 56.1 
               
               
                   
                 S6 
                 −2.625 
                 0.33 
               
               
                   
                 S7 
                 −1.220 
                 0.44 
                 1.635 
                 24 
               
               
                   
                 S8 
                 −1.419 
                 0.22 
               
               
                   
                 S9 
                 3.379 
                 0.85 
                 1.544 
                 56.1 
               
               
                   
                 S10 
                 1.759 
                 0.21 
               
               
                   
                 S11 
                 Infinity 
                 0.30 
                 1.517 
                 64.2 
               
               
                   
                 S12 
                 Infinity 
                 0.70 
               
               
                   
                 img 
                 Infinity 
               
               
                   
                   
               
             
          
         
       
     
     In the lens module  100  of the present embodiment, the focal distance f 1  of the first lens  10  is 2.86 mm; the focal distance f 2  of the second lens  20  is −5.50 mm; the focal distance f 3  of the third lens  30  is 7.85 mm; the focal distance f 4  of the fourth lens  40  is −100.00 mm; the focal distance f 5  of the fifth lens  50  is −8.24 mm; the overall focal distance f is 4.12 mm; and F No. is 2.40. In addition, TL according to the embodiment is 4.77, the smallest, together with the first embodiment. 
     
       
         
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 4 
               
               
                   
               
               
                 Surface 
                   
                   
                   
                   
                   
                   
                   
               
               
                 No. 
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 S1 
                 −1.279E−01 
                 5.285E−03 
                 1.100E−02 
                 −2.319E−02 
                 1.870E−02 
                 1.418E−02 
                 −3.576E−02 
               
               
                 S2 
                 0.000E+00 
                 −1.403E−01 
                 3.172E−01 
                 −4.893E−01 
                 4.199E−01 
                 −2.180E−01 
                 0.000E+00 
               
               
                 S3 
                 0.000E+00 
                 −2.361E−01 
                 4.952E−01 
                 −5.972E−01 
                 3.879E−01 
                 −1.596E−01 
                 0.000E+00 
               
               
                 S4 
                 2.060E+00 
                 −1.456E−01 
                 2.874E−01 
                 −1.720E−01 
                 7.661E−03 
                 7.702E−02 
                 0.000E+00 
               
               
                 S5 
                 0.000E+00 
                 −1.194E−01 
                 4.204E−02 
                 −3.706E−02 
                 2.576E−01 
                 −1.654E−01 
                 −3.302E−02 
               
               
                 S6 
                 0.000E+00 
                 −3.044E−02 
                 7.503E−03 
                 −1.392E−02 
                 1.149E−01 
                 −3.098E−02 
                 −3.233E−02 
               
               
                 S7 
                 −5.304E+00 
                 −8.453E−02 
                 3.411E−02 
                 −1.067E−02 
                 2.377E−02 
                 −2.645E−02 
                 5.479E−03 
               
               
                 S8 
                 −4.342E+00 
                 −7.572E−02 
                 3.027E−02 
                 9.316E−03 
                 −4.083E−03 
                 −2.132E−03 
                 6.763E−04 
               
               
                 S9 
                 −1.756E+01 
                 −1.537E−01 
                 6.951E−02 
                 −1.396E−02 
                 1.386E−03 
                 −5.457E−05 
                 0.000E+00 
               
               
                 S10 
                 −8.176E+00 
                 −6.808E−02 
                 1.964E−02 
                 −4.242E−03 
                 5.018E−04 
                 −2.250E−05 
                 0.000E+00 
               
               
                   
               
             
          
         
       
     
     (Third Embodiment) 
     The lens module  100  according to the third embodiment of the present invention will be described with reference to  FIGS. 5 ,  6 A,  6 B, and  6 C. 
     The lens module  100  according to the third embodiment may include the first lens  10  having positive refractive power, the second lens  20  having negative refractive power, the third lens  30  having positive refractive power, the fourth lens  40  having negative refractive power, and the fifth lens  50  having negative refractive power. 
     Here, the first surface S 5  of the third lens  30  may be convex toward the object, unlike the other embodiments. In addition, the fourth lens  40  may have an inflection point at a peripheral portion based on the optical axis (C-C) as shown in  FIG. 5 . 
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
                 TABLE 5 
               
               
                   
                   
               
               
                   
                 Surface 
                 Radius of 
                 Thickness or 
                 Refractive 
                 Abbe 
               
               
                   
                 No. 
                 Curvature 
                 Distance 
                 Index 
                 No. (v) 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 S1 
                 1.436 
                 0.64 
                 1.544 
                 56.1 
               
               
                   
                 S2 
                 6.630 
                 0.08 
               
               
                   
                 S3 
                 3.358 
                 0.27 
                 1.632 
                 23.4 
               
               
                   
                 S4 
                 1.706 
                 0.45 
               
               
                   
                 S5 
                 13.188 
                 0.48 
                 1.544 
                 56.1 
               
               
                   
                 S6 
                 −3.790 
                 0.22 
               
               
                   
                 S7 
                 −1.061 
                 0.33 
                 1.614 
                 25.6 
               
               
                   
                 S8 
                 −1.207 
                 0.28 
               
               
                   
                 S9 
                 4.924 
                 0.96 
                 1.544 
                 56.1 
               
               
                   
                 S10 
                 1.883 
                 0.17 
               
               
                   
                 S11 
                 Infinity 
                 0.30 
                 1.517 
                 64.2 
               
               
                   
                 S12 
                 Infinity 
                 0.70 
               
               
                   
                 img 
                 Infinity 
               
               
                   
                   
               
             
          
         
       
     
     In the lens module  100  of the present embodiment, the focal distance f 1  of the first lens  10  is 3.23 mm; the focal distance f 2  of the second lens  20  is −5.85 mm; the focal distance f 3  of the third lens  30  is 5.46 mm; the focal distance f 4  of the fourth lens  40  is −100.00 mm; the focal distance f 5  of the fifth lens  50  is −6.31 mm; and the overall focal distance f is 4.16 mm. In addition, F No. of the present embodiment is 2.20, brighter than the first and second embodiments. However, TL according to the embodiment is 4.87, slightly larger than the first and second embodiments. 
     
       
         
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 6 
               
               
                   
               
               
                 Surface 
                   
                   
                   
                   
                   
                   
                   
               
               
                 No. 
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 S1 
                 −4.734E−02 
                 1.039E−02 
                 9.817E−03 
                 1.128E−02 
                 −3.620E−03 
                 3.154E−03 
                 1.005E−02 
               
               
                 S2 
                 0.000E+00 
                 −1.480E−01 
                 3.499E−01 
                 −4.657E−01 
                 4.167E−01 
                 −1.825E−01 
                 −9.593E−11 
               
               
                 S3 
                 0.000E+00 
                 −2.849E−01 
                 4.791E−01 
                 −5.550E−01 
                 4.056E−01 
                 −1.943E−01 
                 7.842E−11 
               
               
                 S4 
                 1.916E+00 
                 −1.879E−01 
                 2.221E−01 
                 −1.494E−01 
                 −3.436E−02 
                 3.671E−02 
                 5.422E−11 
               
               
                 S5 
                 0.000E+00 
                 −5.424E−02 
                 1.372E−02 
                 −1.117E−01 
                 1.591E−01 
                 −7.781E−02 
                 −6.676E−03 
               
               
                 S6 
                 0.000E+00 
                 2.355E−02 
                 1.825E−02 
                 −9.312E−02 
                 9.100E−02 
                 −3.215E−02 
                 −2.116E−03 
               
               
                 S7 
                 −3.555E+00 
                 3.317E−02 
                 6.449E−02 
                 −2.497E−02 
                 1.728E−02 
                 −2.030E−02 
                 5.935E−03 
               
               
                 S8 
                 −3.212E+00 
                 −3.105E−02 
                 5.708E−02 
                 1.093E−02 
                 −6.751E−03 
                 −3.138E−03 
                 1.104E−03 
               
               
                 S9 
                 −1.756E+01 
                 −1.831E−01 
                 9.539E−02 
                 −3.645E−02 
                 1.111E−02 
                 −1.950E−03 
                 1.375E−04 
               
               
                 S10 
                 −8.176E+00 
                 −7.204E−02 
                 2.713E−02 
                 −8.822E−03 
                 1.803E−03 
                 −2.120E−04 
                 1.069E−05 
               
               
                   
               
             
          
         
       
     
     (Fourth Embodiment) 
     The lens module  100  according to the fourth embodiment of the present invention will be described with reference to  FIGS. 7 ,  8 A,  8 B, and  8 C. 
     The lens module  100  according to the fourth embodiment may include the first lens  10  having positive refractive power, the second lens  20  having negative refractive power, the third lens  30  having positive refractive power, the fourth lens  40  having negative refractive power, and the fifth lens  50  having negative refractive power. 
     Here, the fourth lens  40  may have an inflection point at the peripheral portion thereof based the optical axis (C-C) like in the third embodiment. 
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
                 TABLE 7 
               
               
                   
                   
               
               
                   
                 Surface 
                 Radius of 
                 Thickness or 
                 Refractive 
                 Abbe 
               
               
                   
                 No. 
                 Curvature 
                 Distance 
                 Index 
                 No. (v) 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 S1 
                 1.421 
                 0.64 
                 1.544 
                 56.1 
               
               
                   
                 S2 
                 4.647 
                 0.08 
               
               
                   
                 S3 
                 3.052 
                 0.25 
                 1.632 
                 23.4 
               
               
                   
                 S4 
                 1.803 
                 0.49 
               
               
                   
                 S5 
                 −167.850 
                 0.48 
                 1.544 
                 56.1 
               
               
                   
                 S6 
                 −2.394 
                 0.16 
               
               
                   
                 S7 
                 −0.971 
                 0.36 
                 1.635 
                 24 
               
               
                   
                 S8 
                 −1.128 
                 0.43 
               
               
                   
                 S9 
                 4.527 
                 0.67 
                 1.544 
                 56.1 
               
               
                   
                 S10 
                 1.673 
                 0.21 
               
               
                   
                 S11 
                 Infinity 
                 0.30 
                 1.517 
                 64.2 
               
               
                   
                 S12 
                 Infinity 
                 0.81 
               
               
                   
                 img 
                 Infinity 
               
               
                   
                   
               
             
          
         
       
     
     In the lens module  100  of the present embodiment, the focal distance f 1  of the first lens  10  is 3.52 mm; the focal distance f 2  of the second lens  20  is −7.55 mm; the focal distance f 3  of the third lens  30  is 4.46 mm; the focal distance f 4  of the fourth lens  40  is −95.01 mm; the focal distance f 5  of the fifth lens  50  is −5.32 mm; and the overall focal distance f is 4.21 mm. In addition, F No. and TL according to the embodiment are 2.20 and 4.87, respectively. F No. of the present embodiment is low, similarly to the case of the third embodiment, but TL according to the embodiment is slightly larger as compared with those of the first and second embodiments. 
     
       
         
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 8 
               
               
                   
               
               
                 Surface 
                   
                   
                   
                   
                   
                   
                   
               
               
                 No. 
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 S1 
                 −5.367E−02 
                 8.025E−03 
                 1.514E−02 
                 3.207E−03 
                 −7.845E−03 
                 1.837E−02 
                 0.000E+00 
               
               
                 S2 
                 0.000E+00 
                 −1.984E−01 
                 3.673E−01 
                 −4.480E−01 
                 4.132E−01 
                 −1.994E−01 
                 0.000E+00 
               
               
                 S3 
                 0.000E+00 
                 −3.320E−01 
                 4.807E−01 
                 −4.276E−01 
                 2.646E−01 
                 −1.515E−01 
                 0.000E+00 
               
               
                 S4 
                 2.336E+00 
                 −1.899E−01 
                 2.280E−01 
                 −8.781E−02 
                 −8.228E−02 
                 3.671E−02 
                 0.000E+00 
               
               
                 S5 
                 0.000E+00 
                 −7.394E−02 
                 2.007E−02 
                 −1.709E−01 
                 2.681E−01 
                 −1.298E−01 
                 0.000E+00 
               
               
                 S6 
                 0.000E+00 
                 5.194E−02 
                 −2.272E−02 
                 −4.804E−02 
                 8.263E−02 
                 −3.874E−02 
                 0.000E+00 
               
               
                 S7 
                 −3.411E+00 
                 4.881E−02 
                 6.940E−02 
                 −3.097E−02 
                 1.160E−02 
                 −2.132E−02 
                 8.095E−03 
               
               
                 S8 
                 −3.459E+00 
                 −1.721E−04 
                 4.079E−02 
                 4.433E−03 
                 −6.632E−03 
                 −2.549E−03 
                 1.346E−03 
               
               
                 S9 
                 −1.756E+01 
                 −1.367E−01 
                 4.374E−02 
                 −6.467E−03 
                 4.294E−04 
                 −7.727E−07 
                 0.000E+00 
               
               
                 S10 
                 −8.176E+00 
                 −6.509E−02 
                 1.730E−02 
                 −3.737E−03 
                 4.503E−04 
                 −3.085E−05 
                 8.626E−07 
               
               
                   
               
             
          
         
       
     
     (Fifth Embodiment) 
     The lens module  100  according to the fifth embodiment of the present invention will be described with reference to  FIGS. 9 ,  10 A,  10 B, and  10 C. 
     The lens module  100  according to the fifth embodiment may include the first lens  10  having positive refractive power, the second lens  20  having negative refractive power, the third lens  30  having positive refractive power, the fourth lens  40  having negative refractive power, and the fifth lens  50  having negative refractive power. 
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
                 TABLE 9 
               
               
                   
                   
               
               
                   
                 Surface 
                 Radius of 
                 Thickness or 
                 Refractive 
                 Abbe 
               
               
                   
                 No. 
                 Curvature 
                 Distance 
                 Index 
                 No. (v) 
               
               
                   
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 S1 
                 1.637 
                 0.72 
                 1.544 
                 56.1 
               
               
                   
                 S2 
                 45.096 
                 0.09 
               
               
                   
                 S3 
                 4.687 
                 0.30 
                 1.632 
                 23.4 
               
               
                   
                 S4 
                 1.971 
                 0.40 
               
               
                   
                 S5 
                 −20.922 
                 0.43 
                 1.544 
                 56.1 
               
               
                   
                 S6 
                 −3.417 
                 0.43 
               
               
                   
                 S7 
                 −1.297 
                 0.41 
                 1.635 
                 24 
               
               
                   
                 S8 
                 −1.491 
                 0.09 
               
               
                   
                 S9 
                 3.226 
                 0.98 
                 1.544 
                 56.1 
               
               
                   
                 S10 
                 1.685 
                 0.20 
               
               
                   
                 S11 
                 Infinity 
                 0.30 
                 1.517 
                 64.2 
               
               
                   
                 S12 
                 Infinity 
                 0.70 
               
               
                   
                 img 
                 Infinity 
               
               
                   
                   
               
             
          
         
       
     
     In the lens module  100  of the present embodiment, the focal distance f 1  of the first lens  10  is 3.09 mm; the focal distance f 2  of the second lens  20  is −5.56 mm; the focal distance f 3  of the third lens  30  is 7.41 mm; the focal distance f 4  of the fourth lens  40  is −91.69 mm; the focal distance f 5  of the fifth lens  50  is −8.34 mm; and the overall focal distance f is 4.25 mm. In addition, F No. of the present embodiment is 2.20, brighter as compared with the first and second embodiments, but TL according to the embodiment is 5.05, the greatest among the accompanying embodiments. 
     
       
         
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 10 
               
               
                   
               
               
                 Surface 
                   
                   
                   
                   
                   
                   
                   
               
               
                 No. 
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 S1 
                 −3.596E−01 
                 1.165E−03 
                 7.459E−03 
                 −2.742E−02 
                 1.868E−02 
                 −4.584E−03 
                 −7.427E−03 
               
               
                 S2 
                 0.000E+00 
                 −1.559E−01 
                 3.396E−01 
                 −4.891E−01 
                 3.692E−01 
                 −1.290E−01 
                 0.000E+00 
               
               
                 S3 
                 0.000E+00 
                 −2.524E−01 
                 5.538E−01 
                 −6.911E−01 
                 5.115E−01 
                 −1.753E−01 
                 0.000E+00 
               
               
                 S4 
                 1.265E+00 
                 −1.673E−01 
                 3.220E−01 
                 −3.118E−01 
                 2.376E−01 
                 −8.550E−02 
                 0.000E+00 
               
               
                 S5 
                 0.000E+00 
                 −1.078E−01 
                 3.365E−02 
                 −5.060E−03 
                 1.153E−01 
                 −7.499E−02 
                 8.252E−03 
               
               
                 S6 
                 0.000E+00 
                 −4.706E−02 
                 −2.680E−02 
                 7.909E−02 
                 −3.231E−02 
                 2.626E−02 
                 −1.321E−02 
               
               
                 S7 
                 −7.540E+00 
                 −7.308E−02 
                 1.782E−02 
                 6.047E−03 
                 1.635E−02 
                 −1.995E−02 
                 4.378E−03 
               
               
                 S8 
                 −6.736E+00 
                 −8.506E−02 
                 2.676E−02 
                 1.017E−02 
                 −2.270E−03 
                 −2.827E−03 
                 7.803E−04 
               
               
                 S9 
                 −1.756E+01 
                 −7.900E−01 
                 3.000E−01 
                 −7.265E−02 
                 1.000E−02 
                 1.450E−03 
                 0.000E+00 
               
               
                 S10 
                 −8.176E+00 
                 −1.048E+00 
                 7.922E−02 
                 −1.488E−02 
                 7.258E−03 
                 2.992E−04 
                 0.000E+00 
               
               
                   
               
             
          
         
       
     
     Table 11 shows main numerical values for the above-described embodiments. 
     All of the above-described embodiments 1 to 5 satisfy numerical limitations according to Mathematical Expressions 1 to 5, as shown in Table 11. 
     Here, the first and second embodiments may provide a relatively smaller TL than the other embodiments, while the third to fifth embodiments may provide a relatively brighter lens module than the other embodiments. 
     
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 11 
               
               
                   
               
               
                   
                 First 
                 Second 
                 Third 
                 Fourth 
                 Fifth 
               
               
                   
                 Embodi- 
                 Embodi- 
                 Embodi- 
                 Embodi- 
                 Embodi- 
               
               
                 Note 
                 ment 
                 ment 
                 ment 
                 ment 
                 ment 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 f 
                 4.12 
                 4.12 
                 4.16 
                 4.21 
                 4.25 
               
               
                 BFL 
                 1.20 
                 1.21 
                 1.17 
                 1.32 
                 1.20 
               
               
                 F No. 
                 2.40 
                 2.40 
                 2.20 
                 2.20 
                 2.20 
               
               
                 TL 
                 4.77 
                 4.77 
                 4.87 
                 4.87 
                 5.05 
               
               
                 FOV 
                 70.00 
                 70.20 
                 70.40 
                 69.70 
                 69.10 
               
               
                 f1 
                 2.91 
                 2.86 
                 3.23 
                 3.52 
                 3.09 
               
               
                 f2 
                 −5.68 
                 −5.50 
                 −5.85 
                 −7.55 
                 −5.56 
               
               
                 f3 
                 8.44 
                 7.85 
                 5.46 
                 4.46 
                 7.41 
               
               
                 f4 
                 −25.61 
                 −100.00 
                 −100.00 
                 −95.01 
                 −91.69 
               
               
                 f5 
                 −12.01 
                 −8.24 
                 −6.31 
                 −5.32 
                 −8.34 
               
               
                 f4/f 
                 −6.22 
                 −24.27 
                 −24.04 
                 −22.57 
                 −21.57 
               
               
                 v1-v4 
                 32.10 
                 32.10 
                 30.50 
                 32.10 
                 32.10 
               
               
                 f3/f2 
                 −1.49 
                 −1.43 
                 −0.93 
                 −0.59 
                 −1.33 
               
               
                 f4/f1 
                 −8.82 
                 −34.95 
                 −30.98 
                 −27.01 
                 −29.66 
               
               
                 TL/f 
                 1.16 
                 1.16 
                 1.17 
                 1.16 
                 1.19 
               
               
                 v2 
                 23.40 
                 23.40 
                 23.40 
                 23.40 
                 23.40 
               
               
                   
               
             
          
         
       
     
     A thickness ct 3  of the third lens and a thickness ct 4  of the fourth lens may satisfy the following conditional expressions:
 
0.33≦ct3≦0.48
 
0.33≦ct4≦0.44.
 
     A distance d 23  from an image-side surface of the second lens to an object-side surface of the third lens may satisfy the following conditional expression:
 
0.37≦d23≦0.49.
 
     A radius rl of curvature of an object-side surface of the first lens, a radius r 2  of curvature of an image-side surface of the first lens, a radius r 4  of curvature of an image-side surface of the second lens, a radius r 7  of curvature of an object-side surface of the fourth lens, a radius r 8  of curvature of an image-side surface of the fourth lens, and a radius r 9  of curvature of an object-side surface of the fifth lens may satisfy the following conditional expressions:
 
1.381≦r1≦1.637
 
4.647≦r2≦45.096
 
1.706≦r4≦1.988
 
−1.297≦r7≦−0.971
 
−1.591≦r8≦−1.128
 
2.674≦r9≦4.924
 
r4&gt;r1.
 
     As set forth above, the lens module capable of realizing a high-resolution camera and a bright optical system can be provided. 
     While the present invention has been shown and described in connection with the embodiments, it will be apparent to those skilled in the art that modifications and variations can be made without departing from the spirit and scope of the invention as defined by the appended claims.