Abstract:
A photographic lens includes, in a sequence from an object to an image plane, a first lens having positive or negative refractive power; a second lens having positive or negative refractive power; a third lens having positive refractive power; a fourth lens having negative refractive power; a fifth lens having positive refractive power; and a sixth lens having negative refractive power. The photographic lens satisfies the following condition: 
       90°&lt;FOV&lt;160°
 
       0.5&lt; D 1/ D 6&lt;1.0 
     where FOV is a field of view of the photographic lens, D1 is an effective aperture of the first lens, and D2 is an effective aperture of the sixth lens.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
       [0001]    This application claims the benefit of Korean Patent Application No. 10-2015-0015569 filed on Jan. 30, 2015, in the Korean Intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference. 
       BACKGROUND 
       [0002]    1. Field 
         [0003]    One or more exemplary embodiments relate to photographic lenses, and more particularly, to a compact photographic lens having a high optical performance that is designed to be suitable for mobile phone cameras. 
         [0004]    2. Description of the Related Art 
         [0005]    Recently, the use of cameras including solid-state imaging devices such as charge coupled devices (CCDs) or complementary metal oxide semiconductor (CMOS) image sensors has been rapidly increasing. 
         [0006]    The pixel integration density of solid-state imaging devices has increased to improve the resolution of cameras. Along with this, small and lightweight cameras have been developed by improving the performance of photographic lenses included in the cameras. Photographing apparatuses using solid-state imaging devices are suitable for miniaturization, and thus have recently been applied to mobile apparatuses such as smartphones. 
         [0007]    In general, many lenses are used to secure an optical performance. However, the use of many lenses adversely affects miniaturization, weight lightening, and price competitiveness of cameras. When a small number of lenses are used, miniaturization and price competitiveness of cameras improve, but aberration correction may not be enough. 
         [0008]    Moreover, as the professionalism of consumers for cameras has recently continuously increased, a design that accomplishes an optical performance suitable for purposes together with miniaturization has been requested. Thus, there is a demand for photographic lenses designed to accomplish miniaturization, weight lightening, and cost reduction while obtaining a desired performance. 
       SUMMARY 
       [0009]    One or more exemplary embodiments include a photographic lens that is favorable for miniaturization/weight lightening and has good performance. 
         [0010]    Additional aspects will be set forth in part in the description which follows and, in part, will be apparent from the description, or may be learned by practice of the presented embodiments. 
         [0011]    According to an aspect of the present invention, a photographic lens includes, in a sequence from an object to an image plane, a first lens having positive or negative refractive power; a second lens having positive or negative refractive power; a third lens having positive refractive power; a fourth lens having negative refractive power; a fifth lens having positive refractive power; and a sixth lens having negative refractive power, 
         [0012]    wherein the zoom lens satisfies the following condition: 
         [0000]      90°&lt;FOV&lt;160°
 
         [0000]      0.5&lt; D 1/ D 6&lt;1.0 
         [0013]    where FOV is a field of view of the photographic lens, D1 is an effective aperture of the first lens, and D2 is an effective aperture of the sixth lens. 
         [0014]    The photographic lens may satisfy the following condition: 
         [0000]      0.0&lt;| F 1/ F 2|&lt;10.0 
         [0015]    where F1 and F2 are a focal length of the first lens and a focal length of the second lens, respectively. 
         [0016]    The photographic lens may satisfy the following condition: 
         [0000]      1.5&lt;Ind2&lt;1.7 
         [0017]    where Ind2 is a refractive index of the second lens. 
         [0018]    The photographic lens may satisfy the following condition: 
         [0000]      125°&lt;FOV&lt;160°
 
         [0019]    where FOV is a field of view of the photographic lens. 
         [0020]    The first lens may have negative refractive power. 
         [0021]    The photographic lens may satisfy the following condition: 
         [0000]      0&lt;| F 1/ F 2|&lt;1.5 
         [0022]    where F1 and F2 are a focal length of the first lens and a focal length of the second lens, respectively. 
         [0023]    The first lens may have positive refractive power. 
         [0024]    The photographic lens may satisfy the following condition: 
         [0000]      3.5&lt;| F 1/ F 2|&lt;8.5 
         [0025]    where F1 and F2 are a focal length of the first lens and a focal length of the second lens, respectively. 
         [0026]    According to an aspect of the present invention, a photographic lens includes, in a sequence from an object to an image plane, a first lens having positive or negative refractive power; a second lens having positive or negative refractive power; a third lens having positive refractive power and shaped such that an exit surface is convex toward the image plane; a fourth lens having negative refractive power and shaped such that an entrance surface is concave toward the object; a fifth lens having positive refractive power and shaped such that an exit surface is convex toward the image plane; and a sixth lens having negative refractive power and an aspherical shape in which an exit surface has at least one inflection point. The photographic lens satisfies the following condition: 
         [0000]      125°&lt;FOV&lt;160°
 
         [0027]    where FOV is a field of view of the photographic lens. 
         [0028]    The photographic lens may satisfy the following condition: 
         [0000]      0.5&lt; D 1/ D 6&lt;1.0 
         [0029]    where D1 is an effective aperture of the first lens and D2 is an effective aperture of the sixth lens. 
         [0030]    The photographic lens may satisfy the following condition: 
         [0000]      0.0&lt;| F 1/ F 2|&lt;10.0 
         [0031]    where F1 and F2 are a focal length of the first lens and a focal length of the second lens, respectively. 
         [0032]    The first lens may have negative refractive power. 
         [0033]    The photographic lens may satisfy the following condition: 
         [0000]      0&lt;| F 1/ F 2|&lt;1.5 
         [0034]    where F1 and F2 are a focal length of the first lens and a focal length of the second lens, respectively. 
         [0035]    The first lens may have positive refractive power. 
         [0036]    The photographic lens may satisfy the following condition: 
         [0000]      3.5&lt;| F 1/ F 2|&lt;8.5 
         [0037]    where F1 and F2 are a focal length of the first lens and a focal length of the second lens, respectively. 
         [0038]    All of the first lens through the sixth lens may be aspherical plastic lenses. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0039]    These and/or other aspects will become apparent and more readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which: 
           [0040]      FIG. 1  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to an embodiment; 
           [0041]      FIG. 2  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 1 ; 
           [0042]      FIG. 3  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0043]      FIG. 4  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 3 ; 
           [0044]      FIG. 5  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0045]      FIG. 6  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 5 ; 
           [0046]      FIG. 7  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0047]      FIG. 8  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 7 ; 
           [0048]      FIG. 9  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0049]      FIG. 10  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 9 ; 
           [0050]      FIG. 11  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0051]      FIG. 12  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 11 ; 
           [0052]      FIG. 13  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0053]      FIG. 14  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 13 ; 
           [0054]      FIG. 15  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0055]      FIG. 16  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 15 ; 
           [0056]      FIG. 17  is a cross-sectional view illustrating an optical arrangement of a photographic lens according to another embodiment; 
           [0057]      FIG. 18  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens according to the embodiment of  FIG. 17 ; and 
           [0058]      FIGS. 19 and 20  illustrate photography in a self camera mode when a photographic lens according to a comparative example has been applied to a mobile phone camera and photography in a self camera mode when a photographic lens according to an embodiment has been applied to a mobile phone camera, respectively. 
       
    
    
     DETAILED DESCRIPTION 
       [0059]    Exemplary embodiments of the present invention will now be described more fully with reference to the accompanying drawings. Like reference numerals in the drawings denote like elements, and sizes of components in the drawings may be exaggerated for clarity and convenience of explanation. 
         [0060]      FIG. 1  illustrates an optical arrangement of a photographic lens  1000  according to an embodiment. 
         [0061]    Referring to  FIG. 1 , the photographic lens  1000  includes a first lens  101  having negative refractive power, a second lens  201  having positive refractive power, a third lens  301  having positive refractive power, a fourth lens  401  having negative refractive power, a fifth lens  501  having positive refractive power, and a sixth lens  601  having negative refractive power, which are sequentially arranged in a direction from an object OBJ to an image plane IMG. 
         [0062]    The lenses that constitute the photographic lens  1000  achieve miniaturization, weight lightening, and a wide angle, and are shaped such that they may achieve smooth aberration correction. 
         [0063]    The photographic lens  1000  may satisfy the following conditions: 
         [0000]      90°&lt;FOV&lt;160°  (1)
 
         [0064]    where FOV is a field of view of the photographic lens  1000 . 
         [0065]    According to Condition (1), a super wide angle of view is accomplished. 
         [0066]    Condition (1) may be modified into Condition (1-1), and Condition (1-1) may be used. 
         [0000]      125°&lt;FOV&lt;160°  (1-1)
 
         [0067]    The photographic lens  1000  may satisfy Condition (2): 
         [0000]      0.5&lt; D 1/ D 6&lt;1.0   (2)
 
         [0068]    where D1 is an effective aperture of the first lens  101  and D2 is an effective aperture of the sixth lens  601 . 
         [0069]    Condition (2) defines a ratio between the effective apertures of the first lens  101  and the sixth lens  601 . In general optical systems accomplishing a wide angle, a lens closest to an object side has a largest effective aperture in many cases. Thus, the general optical systems enlarge. However, the present embodiment proposes a structure favorable to miniaturization by setting the first lens  101  to have a smaller effective aperture than the sixth lens  106 . 
         [0070]    When the ratio deviates from a lower limit of Condition (2), a compact optical system is obtained, but a wide angle is not accomplished. When the ratio deviates from an upper limit of Condition (2), a wide angle performance is accomplished, but a compact optical system is not obtained. 
         [0071]    The photographic lens  1000  may satisfy the following conditions: 
         [0000]      0.0&lt;| F 1/ F 2|&lt;10.0   (3)
 
         [0072]    where F1 and F2 are a focal length of the first lens  101  and a focal length of the second lens  201 , respectively. 
         [0073]    Condition (3) defines a ratio between the focal lengths of the first lens  101  and the second lens  201 , namely, defines a refractive power distribution. 
         [0074]    Within the range of Condition (3), wide angle accomplishment and aberration correction may satisfy an optimal requirement. However, when the ratio deviates from the range of Condition (3), aberration control is difficult, and optimizing an optical system is difficult. 
         [0075]    Condition (3) may be modified into Condition (3-1), and Condition (3-1) may be used. 
         [0000]      0&lt;| F 1/ F 2|&lt;1.5   (3-1)
 
         [0076]    For example, a first lens  106  according to Embodiment 6 of  FIG. 11  and a first lens  107  according to Embodiment 7 of  FIG. 13  may each have positive refractive power. In this case, Condition (3) may be modified into Condition (3-2), and Condition (3-2) may be used. 
         [0000]      3.5&lt;| F 1/ F 2|&lt;8.5   (3-2)
 
         [0077]    The photographic lens  1000  may satisfy Condition (4): 
         [0000]      1.5&lt;Ind2&lt;1.7   (4)
 
         [0078]    where Ind2 is a refractive index of the second lens  201 . 
         [0079]    Condition (4) defines the refractive index of the second lens  201 , and the refractive index has a numeric range that facilitates forming of the second lens  201  using a low-priced plastic material. In general, a glass material has a larger refractive index than a plastic material, but is heavier and more costly than the plastic material. A lens shaping condition of the glass material is stricter than that of the plastic material. By obtaining desired refractive power by using a material that satisfies Condition (4), weight lightening, manufacture easiness, and cost reduction may be achieved. 
         [0080]    The other lenses, namely, the first lens  101  and the third through sixth lens  301  through  601 , may be designed to satisfy Condition (4), and thus weight lightening and cost reduction may be more effectively achieved. 
         [0081]    A detailed shape of each lens included in the photographic lens  1000  will now be described in detail. Hereinafter, an object side surface of each lens is referred to as an entrance surface, and an image side surface thereof is referred to as an exit surface. 
         [0082]    The first lens  101  has negative refractive power, and thus may have a biconcave shape. 
         [0083]    The second lens  201  has positive refractive power, and may have a shape in which an entrance surface is convex toward the object OBJ. 
         [0084]    The third lens  301  has positive refractive power, and may have a shape in which an exit surface is convex toward the image plane IMG, for example, may have a biconvex shape. 
         [0085]    The fourth lens  401  has negative refractive power, and may have a shape in which an entrance surface is concave toward the object OBJ. For example, the fourth lens  401  may be a biconcave lens. 
         [0086]    The fifth lens  501  has positive refractive power, and may have a shape in which an exit surface is convex toward the image plane IMG. For example, the fifth lens  501  may be a meniscus lens that is convex toward the image plane IMG. 
         [0087]    The sixth lens  601  has negative refractive power, and may have an aspherical shape in which an exit surface has at least one inflection point. 
         [0088]    A stop ST may be disposed between the second lens  201  and the third lens  301 , but the location of the stop ST is not limited thereto. 
         [0089]    An infrared ray block filter  700  may be disposed between the sixth lens  106  and the image plane IMG. However, embodiments are not limited thereto, and the infrared ray blocking filter  700  may be omitted. Alternatively, both or one of the infrared ray blocking filter  700  and a cover glass may be disposed. 
         [0090]    An image sensor (not shown), such as a charge coupled device (CCD) or a complementary metal-oxide semiconductor (CMOS), is disposed on the image plane IMG. 
         [0091]    The first lens  101  through the sixth lens  601  may be formed of a glass material or a plastic material. However, at least one of the first through sixth lenses  101  through  601  may be formed of a plastic material to achieve weight lightening. To achieve aberration correction, at least one of the first through sixth lenses  101  through  601  may employ an aspherical surface as at least one surface. In this case, the at least one lens employing an aspherical surface may be formed of a plastic material to achieve process easiness. All of the first through sixth lenses  101  through  601  may be implemented as aspherical plastic lenses in order to achieve aberration correction, weight lightening, and cost reduction. 
         [0092]    Lens data according to several embodiments of the present invention will now be described in detail. In the lens data, ST indicates a stop, and an indication * behind a surface numeral indicates that a corresponding surface is aspherical. In the lens data, R, T, Nd, and Vd indicate the radius of curvature, a thickness or interval, a refractive index, and an Abbe&#39;s number, respectively. In the lens data, Fno. indicates the number of F, and f indicates a focal length. The units of the focal length, the radius of curvature, and the thickness or interval are each mm. 
         [0093]    The aspherical surface is defined as follows. 
         [0000]    
       
         
           
             
               
                 
                   Z 
                   = 
                   
                     
                       
                         Y 
                         2 
                       
                       
                         R 
                         ( 
                         
                           1 
                           + 
                           
                             
                               1 
                               - 
                               
                                 
                                   ( 
                                   
                                     1 
                                     + 
                                     K 
                                   
                                   ) 
                                 
                                  
                                 
                                   Y 
                                   2 
                                 
                                  
                                 
                                   / 
                                 
                                  
                                 
                                   R 
                                   2 
                                 
                               
                             
                           
                         
                       
                     
                     + 
                     
                       AY 
                       4 
                     
                     + 
                     
                       BY 
                       6 
                     
                     + 
                     
                       CY 
                       6 
                     
                     + 
                     
                       DY 
                       10 
                     
                   
                 
               
               
                 
                   [ 
                   
                     Equation 
                      
                     
                         
                     
                      
                     1 
                   
                   ] 
                 
               
             
           
         
       
     
         [0094]    where Z denotes a distance from a vertex of a lens along an opitcal axis, Y denotes a distance from the vertex of the lens in a direction perpendicular to the optical axis, K denotes a conic constant, A, B, C, and D denote aspherical coefficients, and R denotes the radius of curvature of the vertex of the lens. 
       Embodiment 1 
       [0095]      FIG. 1  illustrates an optical arrangement of the photographic lens  1000  according to Embodiment 1, and lens data according to Embodiment 1 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 FNo. = 2.4/f = 1.650 mm 
               
             
          
           
               
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 1* 
                 −1.5216 
                 0.3 
                 1.546 
                 56.093 
               
               
                 2* 
                 8.7162 
                 0.0792 
               
               
                 3* 
                 1.6455 
                 0.2905 
                 1.646 
                 23.517 
               
               
                 4* 
                 4.6824 
                 0.1766 
               
               
                 ST 
                 Infinity 
                 −0.0192 
               
               
                 6* 
                 1.8654 
                 0.468 
                 1.546 
                 56.093 
               
               
                 7* 
                 −1.0598 
                 0.0325 
               
               
                 8* 
                 −4.1417 
                 0.2 
                 1.646 
                 23.517 
               
               
                 9* 
                 2.213 
                 0.1888 
               
               
                 10*  
                 −2.1632 
                 0.575 
                 1.546 
                 56.093 
               
               
                 11*  
                 −0.5954 
                 0.1265 
               
               
                 12*  
                 1.2898 
                 0.3 
                 1.546 
                 56.093 
               
               
                 13  
                 0.4952 
                 0.29 
               
               
                 14  
                 Infinity 
                 0.11 
               
               
                 15  
                 Infinity 
                 0.5503 
               
               
                 IMG 
                 Infinity 
                 −0.0123 
               
               
                   
               
             
          
         
       
     
         [0096]    Table 2 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −16.6006 
                 0.1524 
                 −0.1195 
                 0.0867 
                 −0.0437 
               
               
                 2 
                 0 
                 0.3432 
                 −0.4669 
                 0.5604 
                 1.9329 
               
               
                 3 
                 −14.0741 
                 −0.14 
                 −0.9501 
                 3.3987 
                 −3.2752 
               
               
                 4 
                 0 
                 −0.3024 
                 0.4438 
                 −4.0996 
                 18.3521 
               
               
                 5 
                 12.7658 
                 −0.1237 
                 −3.4767 
                 15.0715 
                 −68.0161 
               
               
                 6 
                 −4.8752 
                 −0.9096 
                 −0.9708 
                 4.8801 
                 −11.9516 
               
               
                 7 
                 52.0933 
                 −0.9756 
                 −2.4862 
                 11.815 
                 −6.7214 
               
               
                 8 
                 2.2417 
                 −0.4969 
                 −0.6014 
                 3.315 
                 −4.4648 
               
               
                 9 
                 −11.7298 
                 0.1865 
                 −0.1371 
                 −0.3945 
                 0.0112 
               
               
                 10 
                 −0.8105 
                 0.6092 
                 −0.733 
                 1.0616 
                 −0.3284 
               
               
                 11 
                 −34.4079 
                 −0.2414 
                 0.0168 
                 0.0552 
                 −0.0013 
               
               
                 12 
                 −4.6207 
                 −0.2609 
                 0.1947 
                 −0.125 
                 0.0443 
               
               
                   
               
             
          
         
       
     
         [0097]      FIG. 2  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of a photographic lens optical system according to Embodiment 1. Longitudinal spherical aberrations are shown for light beams having wavelengths of 656.2725 (nm), 587.5618 (nm), 546.0740 (nm), 486.1327 (nm), and 435.8343 (nm), respectively, and astigmatic field curves and distortion are shown for the light beam having a wavelength of 546.0740 (nm). In an astigmatic field curve graph, a sagittal field curvature and a tangential field curvature are indicated by S and T, respectively. 
       Embodiment 2 
       [0098]      FIG. 3  illustrates an optical arrangement of a photographic lens  2000  according to Embodiment 2. 
         [0099]    Referring to  FIG. 3 , the photographic lens  2000  includes a first lens  102  having negative refractive power, a second lens  202  having positive refractive power, a third lens  302  having positive refractive power, a fourth lens  402  having negative refractive power, a fifth lens  502  having positive refractive power, and a sixth lens  602  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0100]    Lens data according to Embodiment 2 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 FNo. = 2.4/f = 2.0610 mm 
               
             
          
           
               
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
               
             
          
           
               
                 1* 
                 −1.8902 
                 0.3500 
                 1.547 
                 56.071 
               
               
                 2* 
                 −3.2311 
                 0.1065 
               
               
                 3* 
                 3.6296 
                 0.3000 
                 1.547 
                 56.071 
               
               
                 4* 
                 11.7903 
                 0.1521 
               
               
                 ST 
                 Infinity 
                 0.0474 
               
               
                 6* 
                 5.2431 
                 0.4551 
                 1.547 
                 56.071 
               
               
                 7* 
                 −1.4250 
                 0.1157 
               
               
                 8* 
                 −5.0445 
                 0.2000 
                 1.658 
                 21.521 
               
               
                 9* 
                 3.1008 
                 0.2026 
               
               
                 10*  
                 −3.5340 
                 0.7306 
                 1.547 
                 56.071 
               
               
                 11*  
                 −0.6906 
                 0.0400 
               
               
                 12*  
                 1.1653 
                 0.3500 
                 1.538 
                 55.801 
               
               
                 13*  
                 0.4909 
                 0.5000 
               
               
                 14  
                 Infinity 
                 0.1100 
               
               
                 15  
                 Infinity 
                 0.6235 
               
               
                 IMG 
                 Infinity 
                 0.0165 
               
               
                   
               
             
          
         
       
     
         [0101]    Table 4 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 4 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −12.8272 
                 0.0742 
                 −0.0643 
                 0.0345 
                 −0.0106 
               
               
                 2 
                 −84.1796 
                 0.0974 
                 −0.1284 
                 0.0126 
                 0.1046 
               
               
                 3 
                 −9.0801 
                 −0.1158 
                 −0.6669 
                 0.9187 
                 −0.2433 
               
               
                 4 
                 −179.0765 
                 −0.2835 
                 −0.0043 
                 −0.6189 
                 3.4027 
               
               
                 5 
                 69.1942 
                 −0.2313 
                 −0.5747 
                 0.0524 
                 −3.1112 
               
               
                 6 
                 −10.1624 
                 −0.5547 
                 −0.4204 
                 1.1669 
                 −1.608 
               
               
                 7 
                 36.2071 
                 −0.3239 
                 −1.3277 
                 3.5441 
                 −1.6502 
               
               
                 8 
                 4.7388 
                 −0.2442 
                 −0.351 
                 1.1065 
                 −1.3174 
               
               
                 9 
                 −4.5079 
                 0.1278 
                 −0.0744 
                 −0.0766 
                 0.066 
               
               
                 10 
                 −0.7919 
                 0.461 
                 −0.4836 
                 0.4223 
                 −0.0614 
               
               
                 11 
                 −15.5311 
                 −0.1663 
                 0.0434 
                 0.0056 
                 −0.0017 
               
               
                 12 
                 −3.83 
                 −0.177 
                 0.1048 
                 −0.0458 
                 0.011 
               
               
                   
               
             
          
         
       
     
         [0102]      FIG. 4  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  2000  according to Embodiment 2. 
       Embodiment 3 
       [0103]      FIG. 5  illustrates an optical arrangement of a photographic lens  3000  according to Embodiment 3. 
         [0104]    Referring to  FIG. 5 , the photographic lens  3000  includes a first lens  103  having negative refractive power, a second lens  203  having positive refractive power, a third lens  303  having positive refractive power, a fourth lens  403  having negative refractive power, a fifth lens  503  having positive refractive power, and a sixth lens  603  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0105]    Lens data according to Embodiment 3 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 FNo. = 2.4/f = 2.0587 mm 
               
             
          
           
               
                   
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
                   
               
             
          
           
               
                   
                  1* 
                 −1.8542 
                 0.35 
                 1.547 
                 56.071 
               
               
                   
                  2* 
                 −4.2334 
                 0.1226 
               
               
                   
                  3* 
                 2.9153 
                 0.3 
                 1.587 
                 35.09 
               
               
                   
                  4* 
                 14.155 
                 0.1572 
               
               
                   
                 ST 
                 Infinity 
                 0.0462 
               
               
                   
                  6* 
                 5.273 
                 0.4215 
                 1.547 
                 56.071 
               
               
                   
                  7* 
                 −1.4293 
                 0.1009 
               
               
                   
                  8* 
                 −4.7357 
                 0.2 
                 1.658 
                 21.521 
               
               
                   
                  9* 
                 3.3134 
                 0.2216 
               
               
                   
                 10* 
                 −3.1376 
                 0.7333 
                 1.547 
                 56.071 
               
               
                   
                 11* 
                 −0.6929 
                 0.0467 
               
               
                   
                 12* 
                 1.1899 
                 0.35 
                 1.538 
                 55.801 
               
               
                   
                 13* 
                 0.5012 
                 0.5 
               
               
                   
                 14 
                 Infinity 
                 0.11 
               
               
                   
                 15 
                 Infinity 
                 0.6266 
               
               
                   
                 Image 
                 Infinity 
                 0.0134 
               
               
                   
                   
               
             
          
         
       
     
         [0106]    Table 6 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 6 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −13.8794 
                 0.0734 
                 −0.0621 
                 0.0356 
                 −0.0106 
               
               
                 2 
                 −161.055 
                 0.1084 
                 −0.1299 
                 0.022 
                 0.1211 
               
               
                 3 
                 −18.0329 
                 −0.1281 
                 −0.6616 
                 0.9176 
                 −0.2615 
               
               
                 4 
                 −364.6797 
                 −0.3015 
                 −0.0627 
                 −0.3804 
                 3.0666 
               
               
                 5 
                 69.6713 
                 −0.209 
                 −0.5693 
                 0.197 
                 −3.6454 
               
               
                 6 
                 −11.2462 
                 −0.5651 
                 −0.437 
                 1.2403 
                 −1.9586 
               
               
                 7 
                 34.8331 
                 −0.3289 
                 −1.3568 
                 3.5877 
                 −1.4823 
               
               
                 8 
                 4.774 
                 −0.2502 
                 −0.3407 
                 1.1122 
                 −1.3084 
               
               
                 9 
                 −4.9483 
                 0.1285 
                 −0.0779 
                 0.0795 
                 0.0648 
               
               
                 10 
                 −0.7923 
                 0.4626 
                 −0.4761 
                 0.4229 
                 −0.0632 
               
               
                 11 
                 −15.6051 
                 −0.1581 
                 0.0404 
                 0.006 
                 −0.0017 
               
               
                 12 
                 −3.8756 
                 −0.1732 
                 0.1036 
                 −0.0457 
                 0.011 
               
               
                   
               
             
          
         
       
     
         [0107]      FIG. 6  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  3000  according to Embodiment 3. 
       Embodiment 4 
       [0108]      FIG. 7  illustrates an optical arrangement of a photographic lens  4000  according to Embodiment 4. 
         [0109]    Referring to  FIG. 9 , the photographic lens  4000  includes a first lens  104  having negative refractive power, a second lens  204  having positive refractive power, a third lens  304  having positive refractive power, a fourth lens  404  having negative refractive power, a fifth lens  504  having positive refractive power, and a sixth lens  604  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0110]    Lens data according to Embodiment 4 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 7 
               
             
             
               
                   
               
               
                 FNo. = 2.8/f = 1.3495 mm 
               
             
          
           
               
                   
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
                   
               
             
          
           
               
                   
                  1* 
                 −1.7361 
                 0.2372 
                 1.546 
                 56.093 
               
               
                   
                  2* 
                 3.0957 
                 0.1573 
               
               
                   
                  3* 
                 2.3547 
                 0.2437 
                 1.646 
                 23.517 
               
               
                   
                  4* 
                 −29.4371 
                 0.2641 
               
               
                   
                 ST 
                 Infinity 
                 −0.0364 
               
               
                   
                  6* 
                 1.7218 
                 0.4963 
                 1.546 
                 56.093 
               
               
                   
                  7* 
                 −0.8807 
                 0.0301 
               
               
                   
                  8* 
                 −3.728 
                 0.2436 
                 1.646 
                 23.517 
               
               
                   
                  9* 
                 1.7673 
                 0.1615 
               
               
                   
                 10* 
                 −2.0365 
                 0.5945 
                 1.546 
                 56.093 
               
               
                   
                 11* 
                 −0.5536 
                 0.0915 
               
               
                   
                 12* 
                 1.1104 
                 0.3085 
                 1.546 
                 56.093 
               
               
                   
                 13* 
                 0.4474 
                 0.4193 
               
               
                   
                 14 
                 Infinity 
                 0.11 
               
               
                   
                 15 
                 Infinity 
                 0.216 
               
               
                   
                 Image 
                 Infinity 
                 −0.001 
               
               
                   
                   
               
             
          
         
       
     
         [0111]    Table 6 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 8 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −20.5778 
                 0.1449 
                 −0.1383 
                 0.1236 
                 −0.0572 
               
               
                 2 
                 0 
                 0.39 
                 −0.708 
                 0.4942 
                 1.7795 
               
               
                 3 
                 −43.6643 
                 −0.1427 
                 −1.6768 
                 1.89 
                 −3.1022 
               
               
                 4 
                 0 
                 −0.291 
                 −0.4522 
                 −4.0749 
                 21.5867 
               
               
                 5 
                 9.4174 
                 −0.1078 
                 −2.5715 
                 10.7553 
                 −74.3918 
               
               
                 6 
                 −4.9768 
                 −1.0748 
                 −1.4022 
                 8.3297 
                 −27.2625 
               
               
                 7 
                 37.7309 
                 −1.1886 
                 −3.4624 
                 13.3929 
                 −17.1744 
               
               
                 8 
                 2.0801 
                 −0.6105 
                 −0.5799 
                 3.8843 
                 −6.8727 
               
               
                 9 
                 −14.6766 
                 0.2191 
                 −0.2248 
                 −0.4944 
                 0.4128 
               
               
                 10 
                 −0.7903 
                 0.674 
                 −1.0125 
                 1.3161 
                 −0.3817 
               
               
                 11 
                 −15.9941 
                 −0.2793 
                 0.0695 
                 0.0656 
                 −0.0108 
               
               
                 12 
                 −3.7691 
                 −0.2643 
                 0.2409 
                 −0.156 
                 0.0574 
               
               
                   
               
             
          
         
       
     
         [0112]      FIG. 8  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  4000  according to Embodiment 4. 
       Embodiment 5 
       [0113]      FIG. 9  illustrates an optical arrangement of a photographic lens  5000  according to Embodiment 5. 
         [0114]    Referring to  FIG. 5 , the photographic lens  5000  includes a first lens  105  having negative refractive power, a second lens  205  having negative refractive power, a third lens  305  having positive refractive power, a fourth lens  405  having negative refractive power, a fifth lens  505  having positive refractive power, and a sixth lens  605  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0115]    Lens data according to Embodiment 5 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 9 
               
             
             
               
                   
               
               
                 FNo. = 2.8/f = 1.4572 mm 
               
             
          
           
               
                   
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
                   
               
             
          
           
               
                   
                  1* 
                 −3.4951 
                 0.22 
                 1.546 
                 56.093 
               
               
                   
                  2* 
                 3.1615 
                 0.2183 
               
               
                   
                  3* 
                 10.4374 
                 0.23 
                 1.646 
                 23.517 
               
               
                   
                  4* 
                 7.8188 
                 0.2636 
               
               
                   
                 ST 
                 Infinity 
                 −0.0354 
               
               
                   
                  6* 
                 1.253 
                 0.5519 
                 1.546 
                 56.093 
               
               
                   
                  7* 
                 −0.8153 
                 0.1382 
               
               
                   
                  8* 
                 −3.9162 
                 0.2358 
                 1.646 
                 23.517 
               
               
                   
                  9* 
                 1.518 
                 0.1387 
               
               
                   
                 10* 
                 −2.902 
                 0.5683 
                 1.546 
                 56.093 
               
               
                   
                 11* 
                 −0.597 
                 0.122 
               
               
                   
                 12* 
                 1.5638 
                 0.3 
                 1.546 
                 56.093 
               
               
                   
                 13* 
                 0.4951 
                 0.4193 
               
               
                   
                 14 
                 Infinity 
                 0.11 
               
               
                   
                 15 
                 Infinity 
                 0.1417 
               
               
                   
                 Image 
                 Infinity 
                 0.0025 
               
               
                   
                   
               
             
          
         
       
     
         [0116]    Table 10 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 10 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −80.3668 
                 0.1529 
                 −0.1862 
                 0.1169 
                 −0.0261 
               
               
                 2 
                 0 
                 0.5533 
                 −0.6192 
                 0.2104 
                 0.6734 
               
               
                 3 
                 −1503.7848 
                 −0.053 
                 −1.3219 
                 1.371 
                 −6.9362 
               
               
                 4 
                 0 
                 −0.3563 
                 −0.545 
                 −3.4706 
                 17.979 
               
               
                 5 
                 5.0649 
                 −0.7239 
                 −2.4972 
                 2.8555 
                 −82.7358 
               
               
                 6 
                 −4.5786 
                 −0.9866 
                 −1.4118 
                 6.3387 
                 −27.6194 
               
               
                 7 
                 −36.4266 
                 −1.0096 
                 −3.3123 
                 10.56 
                 −16.9176 
               
               
                 8 
                 1.828 
                 −0.596 
                 −0.5814 
                 3.7862 
                 −7.0667 
               
               
                 9 
                 −11.1589 
                 0.3032 
                 −0.1209 
                 −0.4477 
                 0.4078 
               
               
                 10 
                 −0.7773 
                 0.6512 
                 −1.0378 
                 1.3466 
                 −0.2961 
               
               
                 11 
                 −41.4454 
                 −0.3791 
                 0.1379 
                 0.0871 
                 −0.0153 
               
               
                 12 
                 −4.291 
                 −0.3004 
                 0.279 
                 −0.1859 
                 0.0688 
               
               
                   
               
             
          
         
       
     
         [0117]      FIG. 10  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  5000  according to Embodiment 5. 
       Embodiment 6 
       [0118]      FIG. 11  illustrates an optical arrangement of a photographic lens  6000  according to Embodiment 6. 
         [0119]    Referring to  FIG. 11 , the photographic lens  6000  includes a first lens  106  having positive refractive power, a second lens  206  having negative refractive power, a third lens  306  having positive refractive power, a fourth lens  406  having negative refractive power, a fifth lens  506  having positive refractive power, and a sixth lens  606  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0120]    Lens data according to Embodiment 6 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 11 
               
             
             
               
                   
               
               
                 FNo. = 2.8/f = 1.5576 mm 
               
             
          
           
               
                   
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
                   
               
             
          
           
               
                   
                  1* 
                 −2.6252 
                 0.4 
                 1.546 
                 56.093 
               
               
                   
                  2* 
                 −2.7016 
                 0.1186 
               
               
                   
                  3* 
                 −2.7661 
                 0.3607 
                 1.646 
                 23.517 
               
               
                   
                  4* 
                 −3.1802 
                 0.2277 
               
               
                   
                 ST 
                 Infinity 
                 −0.0031 
               
               
                   
                  6* 
                 4.4697 
                 0.4459 
                 1.546 
                 56.093 
               
               
                   
                  7* 
                 −0.7361 
                 0.0945 
               
               
                   
                  8* 
                 −2.3625 
                 0.2 
                 1.646 
                 23.517 
               
               
                   
                  9* 
                 2.1239 
                 0.1033 
               
               
                   
                 10* 
                 −3.4574 
                 0.6175 
                 1.546 
                 56.093 
               
               
                   
                 11* 
                 −0.6047 
                 0.2117 
               
               
                   
                 12* 
                 3.7499 
                 0.3 
                 1.546 
                 56.093 
               
               
                   
                 13* 
                 0.5505 
                 0.4193 
               
               
                   
                 14 
                 Infinity 
                 0.11 
               
               
                   
                 15 
                 Infinity 
                 0.1032 
               
               
                   
                 IMG 
                 Infinity 
                 −0.0032 
               
               
                   
                   
               
             
          
         
       
     
         [0121]    Table 12 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 12 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −6.933 
                 0.2002 
                 −0.1784 
                 0.0983 
                 −0.0426 
               
               
                 2 
                 0 
                 0.645 
                 −0.8527 
                 0.2562 
                 0.9672 
               
               
                 3 
                 −44.4863 
                 0.0631 
                 −0.9253 
                 1.9367 
                 −5.0807 
               
               
                 4 
                 0 
                 0.0243 
                 −0.6872 
                 −0.9938 
                 11.8539 
               
               
                 5 
                 11.4742 
                 −0.4645 
                 −3.1967 
                 3.0955 
                 −103.7954 
               
               
                 6 
                 −3.5765 
                 −1.1887 
                 −2.264 
                 7.8103 
                 −29.9318 
               
               
                 7 
                 −36.4849 
                 −1.1675 
                 −3.0201 
                 15.2337 
                 −17.0418 
               
               
                 8 
                 3.4886 
                 −0.5031 
                 −0.4428 
                 3.6697 
                 −7.2684 
               
               
                 9 
                 −19.3034 
                 0.304 
                 −0.1485 
                 −0.4623 
                 0.4043 
               
               
                 10 
                 −0.7539 
                 0.6023 
                 −1.0562 
                 1.4622 
                 −0.1755 
               
               
                 11 
                 −462.7808 
                 −0.6904 
                 0.3342 
                 0.1408 
                 −0.0281 
               
               
                 12 
                 −4.7282 
                 −0.3502 
                 0.3336 
                 −0.2132 
                 0.0686 
               
               
                   
               
             
          
         
       
     
         [0122]      FIG. 12  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  6000  according to Embodiment 6. 
       Embodiment 7 
       [0123]      FIG. 13  illustrates an optical arrangement of a photographic lens  7000  according to Embodiment 7. 
         [0124]    Referring to  FIG. 13 , the photographic lens  7000  includes a first lens  107  having positive refractive power, a second lens  207  having positive refractive power, a third lens  307  having positive refractive power, a fourth lens  407  having negative refractive power, a fifth lens  507  having positive refractive power, and a sixth lens  607  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0125]    Lens data according to Embodiment 7 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 13 
               
             
             
               
                   
               
               
                 FNo. = 2.8/f = 1.5440 mm 
               
             
          
           
               
                   
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
                   
               
             
          
           
               
                   
                  1* 
                 −2.5179 
                 0.3988 
                 1.546 
                 56.093 
               
               
                   
                  2* 
                 −2.5908 
                 0.1145 
               
               
                   
                  3* 
                 −2.801 
                 0.3836 
                 1.646 
                 23.517 
               
               
                   
                  4* 
                 −2.4875 
                 0.1816 
               
               
                   
                  5* 
                 Infinity 
                 0.0013 
               
               
                   
                  6* 
                 9.3373 
                 0.4253 
                 1.546 
                 56.093 
               
               
                   
                  7* 
                 −0.7325 
                 0.072 
               
               
                   
                  8* 
                 −2.4338 
                 0.2 
                 1.646 
                 23.517 
               
               
                   
                  9* 
                 2.1339 
                 0.1092 
               
               
                   
                 10* 
                 −3.4147 
                 0.6172 
                 1.546 
                 56.093 
               
               
                   
                 11* 
                 −0.6012 
                 0.2223 
               
               
                   
                 12* 
                 4.168 
                 0.3 
                 1.546 
                 56.093 
               
               
                   
                 13* 
                 0.5587 
                 0.4193 
               
               
                   
                 14 
                 Infinity 
                 0.11 
               
               
                   
                 15 
                 Infinity 
                 0.1038 
               
               
                   
                 IMG 
                 Infinity 
                 −0.0038 
               
               
                   
                   
               
             
          
         
       
     
         [0126]    Table 14 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 14 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −6.8266 
                 0.2004 
                 −0.1786 
                 0.0993 
                 −0.0428 
               
               
                 2 
                 0 
                 0.6432 
                 −0.8519 
                 0.2531 
                 0.9648 
               
               
                 3 
                 −40.3463 
                 0.0465 
                 −0.9299 
                 1.9843 
                 −5.0733 
               
               
                 4 
                 0 
                 0.0396 
                 −0.6868 
                 −1.0132 
                 12.3089 
               
               
                 5 
                 151.8627 
                 −0.3788 
                 −3.2427 
                 1.8658 
                 −93.5713 
               
               
                 6 
                 −3.6099 
                 −1.1804 
                 −2.3365 
                 6.9893 
                 −26.0123 
               
               
                 7 
                 −42.154 
                 −1.1843 
                 −3.0898 
                 15.1871 
                 −16.0047 
               
               
                 8 
                 3.4183 
                 −0.5029 
                 −0.4524 
                 3.6536 
                 −7.3001 
               
               
                 9 
                 −22.2619 
                 0.3007 
                 −0.1581 
                 −0.4698 
                 0.4086 
               
               
                 10 
                 −0.7563 
                 0.6022 
                 −1.0588 
                 1.4543 
                 −0.1796 
               
               
                 11 
                 −597.1241 
                 −0.6791 
                 0.3277 
                 0.1399 
                 −0.0269 
               
               
                 12 
                 −4.7166 
                 −0.3463 
                 0.3328 
                 −0.213 
                 0.0674 
               
               
                   
               
             
          
         
       
     
         [0127]      FIG. 14  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  7000  according to Embodiment 7. 
       Embodiment 8 
       [0128]      FIG. 15  illustrates an optical arrangement of a photographic lens  8000  according to Embodiment 8. 
         [0129]    Referring to  FIG. 15 , the photographic lens  8000  includes a first lens  108  having negative refractive power, a second lens  208  having positive refractive power, a third lens  308  having positive refractive power, a fourth lens  408  having negative refractive power, a fifth lens  508  having positive refractive power, and a sixth lens  608  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0130]    Lens data according to Embodiment 8 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 15 
               
             
             
               
                   
               
               
                 FNo. = 2.8/f = 1.3985 mm 
               
             
          
           
               
                   
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
                   
               
             
          
           
               
                   
                  1* 
                 50 
                 0.2272 
                 1.546 
                 56.093 
               
               
                   
                  2* 
                 1.144 
                 0.1979 
               
               
                   
                  3* 
                 2.3889 
                 0.3069 
                 1.646 
                 23.517 
               
               
                   
                  4* 
                 27.7675 
                 0.0279 
               
               
                   
                 ST 
                 Infinity 
                 −0.0183 
               
               
                   
                  6* 
                 2.1245 
                 0.3927 
                 1.546 
                 56.093 
               
               
                   
                  7* 
                 −0.7271 
                 0.0307 
               
               
                   
                  8* 
                 −2.4003 
                 0.2568 
                 1.646 
                 23.517 
               
               
                   
                  9* 
                 1.9471 
                 0.1419 
               
               
                   
                 10* 
                 −2.0675 
                 0.6406 
                 1.546 
                 56.093 
               
               
                   
                 11* 
                 −0.5381 
                 0.0827 
               
               
                   
                 12* 
                 1.1327 
                 0.3326 
                 1.546 
                 56.093 
               
               
                   
                 13* 
                 0.4342 
                 0.4193 
               
               
                   
                 14 
                 Infinity 
                 0.11 
               
               
                   
                 15 
                 Infinity 
                 0.2459 
               
               
                   
                 IMG 
                 Infinity 
                 0.0032 
               
               
                   
                   
               
             
          
         
       
     
         [0131]    Table 16 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 16 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −33.2683 
                 0.1538 
                 −0.2121 
                 0.2073 
                 −0.0561 
               
               
                 2 
                 0 
                 0.3919 
                 −0.144 
                 1.7372 
                 −4.0464 
               
               
                 3 
                 −31.5579 
                 −0.1439 
                 −1.0791 
                 −5.913 
                 21.9926 
               
               
                 4 
                 0 
                 −0.476 
                 −2.372 
                 18.6861 
                 133.1698 
               
               
                 5 
                 8.3871 
                 −0.1646 
                 −3.623 
                 23.1098 
                 −47.5225 
               
               
                 6 
                 −2.5851 
                 −1.5921 
                 −2.9112 
                 17.2962 
                 −90.6614 
               
               
                 7 
                 21.7123 
                 −1.7799 
                 −3.8691 
                 8.4358 
                 −13.7596 
               
               
                 8 
                 2.6973 
                 −0.5757 
                 −0.5142 
                 3.7063 
                 −7.4891 
               
               
                 9 
                 −4.5849 
                 0.2988 
                 −0.0471 
                 −0.6381 
                 −0.1107 
               
               
                 10 
                 −0.7736 
                 0.6361 
                 −1.0071 
                 1.2052 
                 −0.4517 
               
               
                 11 
                 −15.8182 
                 −0.2454 
                 −0.0015 
                 0.0981 
                 −0.0115 
               
               
                 12 
                 −3.5103 
                 −0.254 
                 0.2249 
                 −0.1458 
                 0.0567 
               
               
                   
               
             
          
         
       
     
         [0132]      FIG. 16  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  8000  according to Embodiment 8. 
       Embodiment 9 
       [0133]      FIG. 17  illustrates an optical arrangement of a photographic lens  9000  according to Embodiment 9. 
         [0134]    Referring to  FIG. 17 , the photographic lens  9000  includes a first lens  109  having negative refractive power, a second lens  209  having positive refractive power, a third lens  309  having positive refractive power, a fourth lens  409  having negative refractive power, a fifth lens  509  having positive refractive power, and a sixth lens  609  having negative refractive power, which are sequentially arranged in a direction from the object OBJ to the image plane IMG. 
         [0135]    Lens data according to Embodiment 9 is as follows. 
         [0000]    
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 17 
               
             
             
               
                   
               
               
                 FNo. = 2.4/f = 1.3457 mm 
               
             
          
           
               
                   
                 Surface 
                 R 
                 T 
                 Nd 
                 Vd 
               
               
                   
                   
               
             
          
           
               
                   
                  1* 
                 −2.7887 
                 0.22 
                 1.546 
                 56.093 
               
               
                   
                  2* 
                 2.7759 
                 0.2097 
               
               
                   
                  3* 
                 3.214 
                 0.23 
                 1.546 
                 56.093 
               
               
                   
                  4* 
                 −4.5054 
                 0.2882 
               
               
                   
                 ST 
                 Infinity 
                 −0.0147 
               
               
                   
                  6* 
                 2.8729 
                 0.3639 
                 1.546 
                 56.093 
               
               
                   
                  7* 
                 −1.0569 
                 0.0306 
               
               
                   
                  8* 
                 −12.2447 
                 0.2 
                 1.546 
                 56.093 
               
               
                   
                  9* 
                 1.9365 
                 0.1795 
               
               
                   
                 10* 
                 −1.782 
                 0.4401 
                 1.546 
                 56.093 
               
               
                   
                 11* 
                 −0.5535 
                 0.0342 
               
               
                   
                 12* 
                 1.041 
                 0.3072 
                 1.546 
                 56.093 
               
               
                   
                 13* 
                 0.4406 
                 0.4193 
               
               
                   
                 14 
                 Infinity 
                 0.11 
               
               
                   
                 15 
                 Infinity 
                 0.2983 
               
               
                   
                 IMG 
                 Infinity 
                 0.006 
               
               
                   
                   
               
             
          
         
       
     
         [0136]    Table 18 below shows an aspherical coefficient. 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 18 
               
               
                   
               
               
                 Surface 
                 K 
                 A 
                 B 
                 C 
                 D 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1 
                 −71.8375 
                 0.1463 
                 −0.1474 
                 0.126 
                 −0.0489 
               
               
                 2 
                 0 
                 0.4212 
                 −0.7785 
                 0.2985 
                 1.679 
               
               
                 3 
                 −121.0671 
                 −0.2503 
                 −1.8791 
                 1.7935 
                 −2.4983 
               
               
                 4 
                 0 
                 −0.4184 
                 −0.3765 
                 −4.1617 
                 21.1524 
               
               
                 5 
                 8.0349 
                 −0.1487 
                 −2.6378 
                 11.045 
                 −87.2303  
               
               
                 6 
                 −5.9514 
                 −1.0143 
                 −1.7942 
                 6.1175 
                 −28.5796 
               
               
                 7 
                 1.1476 
                 −1.1172 
                 −3.2707 
                 14.7793 
                 −15.9398 
               
               
                 8 
                 0.9191 
                 −0.6565 
                 −0.6668 
                 3.6968 
                 −6.6846 
               
               
                 9 
                 −7.6207 
                 0.2199 
                 −0.2808 
                 −0.6346 
                 0.1135 
               
               
                 10 
                 −0.8516 
                 0.7165 
                 −0.86841 
                 1.4862 
                 −0.2551 
               
               
                 11 
                 −17.2936 
                 −0.4021 
                 0.0912 
                 0.0907 
                 −0.0028 
               
               
                 12 
                 −4.1791 
                 −0.3262 
                 0.2779 
                 −0.1775 
                 0.0597 
               
               
                   
               
             
          
         
       
     
         [0137]      FIG. 18  illustrates a longitudinal spherical aberration, astigmatic field curves, and distortion of the photographic lens  9000  according to Embodiment 9. 
         [0138]    Table 19 below shows that the photographic lenses  1000 - 9000  according to Embodiments 1-9 meet Conditions (1), (2), (3), and (4). 
         [0000]    
       
         
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
             
           
               
                   
                 TABLE 19 
               
             
             
               
                   
                   
               
               
                   
                 Condition (1) 
                 Condition (2) 
                 Condition (3) 
                 Condition (4) 
               
             
          
           
               
                 Classification 
                 FOV 
                 D1 
                 D6 
                 D1/D6 
                 F1 
                 F2 
                 |F1/F2| 
                 Ind2 
               
               
                   
               
             
          
           
               
                 Embodiment 1 
                 131.47 
                 1.84 
                 3.06 
                 0.6 
                 −2.35 
                 3.79 
                 0.62 
                 1.65 
               
               
                 Embodiment 2 
                 128.96 
                 2.1 
                 3.7 
                 0.57 
                 −9.17 
                 9.46 
                 0.97 
                 1.55 
               
               
                 Embodiment 3 
                 128.81 
                 2.12 
                 3.73 
                 0.57 
                 −6.36 
                 6.19 
                 1.03 
                 1.59 
               
               
                 Embodiment 4 
                 156 
                 1.79 
                 2.91 
                 0.62 
                 −2 
                 3.39 
                 0.59 
                 1.65 
               
               
                 Embodiment 5 
                 138 
                 1.78 
                 2.78 
                 0.64 
                 −3 
                 −50 
                 0.06 
                 1.65 
               
               
                 Embodiment 6 
                 138 
                 2.16 
                 2.82 
                 0.77 
                 200 
                 −50 
                 4 
                 1.65 
               
               
                 Embodiment 7 
                 138 
                 2.09 
                 2.8 
                 0.75 
                 175.6 
                 23.26 
                 7.55 
                 1.65 
               
               
                 Embodiment 8 
                 132 
                 1.61 
                 2.92 
                 0.55 
                 −2.14 
                 4.02 
                 0.53 
                 1.65 
               
               
                 Embodiment 9 
                 138 
                 1.95 
                 2.71 
                 0.72 
                 −2.51 
                 3.47 
                 0.72 
                 1.55 
               
               
                   
               
             
          
         
       
     
         [0139]    The above-described embodiments provide photographic lenses having compact and light structures and achieving smooth aberration correction and a super wide angle. 
         [0140]    Photographic lenses according to embodiments may be applied to various types of photographic apparatuses, together with image sensors which convert optical images formed via the photographic lenses into electrical signals. The photographic apparatuses may be employed in various electronic apparatuses, for example, mobile terminals, door phones, and cars. 
         [0141]      FIGS. 19 and 20  illustrate photography in a self camera mode when a photographic lens according to a comparative example has been applied to a mobile phone camera  80  and photography in a self camera mode when a photographic lens according to an embodiment has been applied to a mobile phone camera  10000 , respectively. 
         [0142]    In  FIG. 19 , the mobile phone camera  80  uses a general photographic lens. The general photographic lens denotes a photographic lens that provides an optical performance of an FOV range of 60° to 90° in which a typical mobile phone is mounted. When several people try to take pictures in a self camera photographing mode by using the mobile phone camera  80 , an auxiliary apparatus  90  for self cameras, so called ‘selfie stick”, is used to put several people on a single screen in a self camera mode. 
         [0143]    In  FIG. 20 , the mobile phone camera  10000  uses a photographic lens that achieves a super wide angle, according to the requirements suggested in the above-described embodiments. In this case, as shown in  FIG. 20 , many people are able to take pictures in a self camera mode without using an auxiliary apparatus for self cameras. 
         [0144]    The photographic lens facilitates aberration correction by using six lenses, and has a compact and light structure. 
         [0145]    The photographic lens includes an aspherical lens formed of a plastic material, and thus produces a cost-effective and high-performance optical system. 
         [0146]    Since the photographic lens is compact and at the same time achieves a super wide angle, when the photographic lens is applied to mobile phone cameras, photography may be easily performed in a self camera mode. 
         [0147]    It should be understood that the exemplary embodiments described therein should be considered in a descriptive sense only and not for purposes of limitation. Descriptions of features or aspects within each embodiment should typically be considered as available for other similar features or aspects in other embodiments. 
         [0148]    While the present invention has been particularly shown and described with reference to exemplary embodiments thereof, it will be understood by those of ordinary skill in the art that various changes in form and details may be made therein without departing from the spirit and scope of the present invention as defined by the following claims.