Abstract:
An photographing optical lens assembly includes, in order from an object side to an image side, a first lens element with positive refractive power having a convex object-side surface, a second lens element, a third lens element, a fourth lens element having at least one aspheric surface, a fifth lens element having a convex object-side surface and a concave image-side surface with at least one surface being aspheric and at least one inflection point being formed, and a sixth lens element having a concave image-side surface with at least one surface being aspheric. By adjusting the curvature radii of the fifth lens element, the photographing optical lens assembly can stay compact and correct the aberration while obtaining superior imaging quality.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This non-provisional application claims priority under 35 U.S.C. §119(a) on Patent Application No(s). 100110435 filed in Taiwan, R.O.C. on Mar. 25, 2011, the entire contents of which are hereby incorporated by reference. 
     BACKGROUND 
     1. Technical Field 
     The present disclosure relates to an optical lens assembly, and more particularly to a compact optical lens assembly. 
     2. Related Art 
     In recent years, with the prosperity of photographing optical lens assemblies, the demand for compact photographing cameras increases exponentially. The photo-sensing device, e.g. a sensor, of an ordinary photographing camera is commonly selected from a charge coupled device (CCD) and a complementary metal-oxide semiconductor (CMOS) device. In addition, as the advanced semiconductor manufacturing technology enables the miniaturization of pixel size of sensors, the resolution of a compact optical lens assembly is gradually increased, so that there is an increasing demand for a compact optical lens assembly capable of generating better quality image. 
     A conventional compact photographing lens used in a mobile electronic device usually consists of four lens elements, which is disclosed in U.S. Pat. No. 7,365,920. However, with the growing popularity of high technology mobile devices including Smart Phone, and PDA (Personal Digital Assistant), the demand for the compact photographing lens with better resolution and image quality increases exponentially. The conventional four lens assembly does not fulfill the specification of the high-level photographing lens assembly. With the electronic devices heading towards the direction of high functionality while being as small and light as possible, the inventors recognize that an optical imaging system capable of improving the image quality of mobile electronic devices as well as miniaturizing the overall size of the camera lens equipped therewith is urgently needed. 
     SUMMARY 
     According to an embodiment, a photographing optical lens assembly comprises, in order from an object side to an image side: a first lens element with positive refractive power having a convex object-side surface, a second lens element, a third lens element, a fourth lens element with at least one aspheric surface, a fifth lens element with at least one inflection point having a convex object-side surface and a concave image-side surface and a sixth lens element having an object side surface and a concave object-side surface. At least one of the object-side surface and the image-side surface of the fifth lens element is aspheric; at least one of the concave image-side surface and the object-side surface of the sixth lens element is aspheric. 
     The photographing optical lens assembly satisfies the following condition:
 
−0.3&lt;( R   9   −R   10 )/( R   9   +R   10 )&lt;0.6  (Condition 1):
 
     Wherein R 9  is the curvature radius of the object-side surface of the fifth lens element; R 10  is the curvature radius of the image-side surface of the fifth lens element. 
     According to another embodiment, a photographing optical lens assembly comprises, in order from an object side to an image side: a first lens element with positive refractive power having a convex object-side surface; a second lens element; a third lens element; a fourth lens element having a concave object-side surface and a convex image-side surface, a fifth lens element having a convex object-side surface and a concave image-side surface and a sixth lens element having a convex object-side surface and a concave image-side surface. At least one of the object-side surface and the image-side surface of the fourth lens element is aspheric; at least one of the object-side surface and the image-side surface of the fifth lens element is aspheric; at least one of the object-side surface and the image-side surface of the sixth lens element is aspheric. The fifth lens element and the sixth lens element are made of plastic. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The present disclosure will become more fully understood from the following detailed description when taken in connection with the accompanying drawings, which show, for purpose of illustrations only, and thus do not limit other possible embodiments derived from the spirit of the present disclosure, and wherein: 
         FIG. 1A  is a schematic structural view of a first embodiment of a photographing optical lens assembly; 
         FIG. 1B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 1A ; 
         FIG. 1C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 1A ; 
         FIG. 1D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 1A ; 
         FIG. 2A  is a schematic structural view of a second embodiment of a photographing optical lens assembly; 
         FIG. 2B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 2A ; 
         FIG. 2C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 2A ; 
         FIG. 2D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly; 
         FIG. 3A  is a schematic structural view of a third embodiment of an photographing optical lens assembly; 
         FIG. 3B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 3A ; 
         FIG. 3C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 3A ; 
         FIG. 3D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 3A ; 
         FIG. 4A  is a schematic structural view of a fourth embodiment of a photographing optical lens assembly; 
         FIG. 4B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 4A ; 
         FIG. 4C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 4A ; 
         FIG. 4D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 4A ; 
         FIG. 5A  is a schematic structural view of a fifth embodiment of a photographing optical lens assembly; 
         FIG. 5B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 5A ; 
         FIG. 5C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 5A ; 
         FIG. 5D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 5A ; 
         FIG. 6A  is a schematic structural view of a sixth embodiment of a photographing optical lens assembly; 
         FIG. 6B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 6A ; 
         FIG. 6C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 6A ; 
         FIG. 6D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 6A ; 
         FIG. 7A  is a schematic structural view of a seventh embodiment of a photographing optical lens assembly; 
         FIG. 7B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 7A ; 
         FIG. 7C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 7A ; 
         FIG. 7D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 7A ; 
         FIG. 8A  is a schematic structural view of an eighth embodiment of a photographing optical lens assembly; 
         FIG. 8B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 8A ; 
         FIG. 8C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 8A ; 
         FIG. 8D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 8A ; 
         FIG. 9A  is a schematic structural view of a ninth embodiment of a photographing optical lens assembly; 
         FIG. 9B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly in  FIG. 9A ; 
         FIG. 9C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in  FIG. 9A ; and 
         FIG. 9D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly in FIG.  9 A. 
     
    
    
     DETAILED DESCRIPTION 
     The photographing optical lens assembly of the present disclosure is described with  FIG. 1A  as an example, to illustrate that the embodiments have similar lens combinations, configuration relationships, and the same conditions of the optical lens assembly. The differences are described in detail in the following embodiments other than the embodiment described in  FIG. 1 . 
     Taking  FIG. 1A  as an example, the photographing optical lens assembly  10  comprises, from an object side to an image side along an optical axis (from left to right in  FIG. 1A ) in sequence, a first lens element  110 , a second lens element  120 , a third lens element  130 , a fourth lens element  140 , a fifth lens element  150 , and a sixth lens element  160 . 
     The first lens element  110  with positive refractive power provides part of the refractive power needed by the photographing optical lens assembly  10 , and, therefore, helps reduce the total optical length of the photographing optical lens assembly  10 . The first lens element  110  comprises a convex object-side surface  111  and an image-side surface  112 . When the object-side surface  111  is convex, the positive refractive power of the first lens element  110  is increased which reduces the total optical length of the photographing optical lens assembly  10 . The first lens element  110  is made of plastic, and the object-side surface  111  and the image-side surface  112  are both aspheric. 
     The second lens element  120  with negative refractive power corrects the aberration of the photographing optical lens assembly  10 . The second lens element  120  comprises an object-side surface  121  and an image-side surface  122 . The second lens element  120  is made of plastic, and the object-side surface  121  and the image-side surface  122  are both aspheric. 
     The third lens element  130  with positive refractive power may reduce the sensitivity of the photographing optical lens assembly  10 . The third lens element  130  comprises an object-side surface  131  and an image-side surface  132 . The image-side surface  132  is concave for correcting the aberration. The third lens element  130  is made of plastic, and both the object-side surface  131  and the image-side surface  132  are aspheric. 
     The fourth lens element  140  comprises a concave object-side surface  141  and a convex image-side surface  142  for correcting the aberration of the photographing optical lens assembly  10 . The fourth lens element  140  is made of plastic, and the object-side surface  141  and the image-side surface  142  are both aspheric. 
     The fifth lens element  150  comprises a convex object-side surface  151  and a concave image-side surface  152 , thereby effectively adjusting the astigmatism of photographing optical lens assembly  10 . The fifth lens element  150  is made of plastic, and the object-side surface  151  and the image-side surface  152  are both aspheric. In addition, the fifth lens element  150  has at least one inflection point. For example, the fifth lens element  150  has an inflection point  153  for reducing the angle at which the light is projected onto the image plane  150  from the off-axis field and further correcting the off-axis aberrations. 
     The sixth lens element  160  comprises a convex object-side surface  161  and a concave image-side surface  162 . When the image-side surface  162  of the sixth element  160  is concave, the principle point is moved toward the object side and, therefore, the total optical length of the photographing optical lens assembly  10  is reduced. When the object-side surface  161  is convex with the image-side surface  162  being concave, the distortion can be corrected. The sixth lens element  160  is made of plastic, and both the object-side surface  161  and the image-side surface  162  are aspheric. In addition, the sixth lens element  160  has at least one inflection point. For example, the sixth lens element  160  has an inflection point  163  that can reduce the angle at which the light is projected onto the image plane  150  from the off-axis field and further correct the off-axis aberrations. 
     In the photographing optical lens assembly  10 , the first lens element  110  with positive refractive power provides part of the refractive power needed by the photographing optical lens assembly  10  for reducing the total optical length. When the first lens element  110  has the convex object-side surface  111 , the refractive power of the first lens element  110  can be further increased which reduces the total optical length of the photographing optical lens assembly  10 . When the fourth lens element  140  has the concave object-side surface  141  and the convex image-side surface  142 , the aberration and chromatism of the photographing optical lens assembly  10  are corrected. When the fifth lens element  150  has the convex object-side surface  151  and the concave image-side surface  152 , the astigmatism of the photographing optical lens assembly  10  can be corrected. When the sixth lens element  160  has the concave image-side surface  162 , the total optical length of the photographing optical lens assembly  10  can be effectively reduced. When the sixth lens element  160  has the convex object-side surface  161  and the concave image-side surface  162 , the distortion of the photographing optical lens assembly  10  can be corrected. 
     Furthermore, when the fifth lens element  150  has at least one inflection point  153 , the angle at which the light is projected onto an image plane  180  from the off-axis field can be reduced to further correct the off-axis aberrations. When the fifth lens element  150  and the sixth lens element  160  are made of plastic, the manufacturing cost can be reduced. 
     The photographing optical lens assembly  10  of the present disclosure satisfies the following condition:
 
−0.3&lt;( R   9   −R   10 )/( R   9   +R   10 )&lt;0.6  (condition 1):
 
     Wherein R 9  is the curvature radius of the object-side surface  151 ; R 10  is the curvature radius of the image-side surface  152 . 
     When the photographing optical lens assembly satisfies  10  Condition 1, the object-side surface  151  and the image-side surface  152  have the proper curvature radius which effectively corrects the high order aberration in the lens assembly. 
     Moreover, the photographing optical lens assembly  10  further comprises an aperture stop  100  disposed in front of the second lens element  120 . That is, the aperture stop  100  is on the object side of the second lens element  120 . Also, the photographing optical lens assembly  10  comprises an infrared filter  170  and an image sensor  182  disposed on the image plane  180 . 
     The photographing optical lens assembly  10  of the present disclosure may further satisfy at least one of the following conditions:
 
0.8 &lt;f/f   1 &lt;1.9  (condition 2):
 
0.75 &lt;SD/TD&lt; 1.10  (condition 3):
 
0.10 &lt;BFL/TTL&lt; 0.35  (condition 4):
 
0.1 &lt;R   12   /f&lt; 0.5  (condition 5):
 
( T   23   +T   45 )/ T   34 &lt;1.0  (condition 6):
 
 TTL/ImgH&lt; 2.5  (condition 7):
 
| f/f   4   |+|f/f   5   |+|f/f   6 |&lt;1.5  (condition 8):
 
0.05&lt;( CT   2   +CT   3 )/ f&lt; 0.19  (condition 9):
 
−0.3&lt;( R   7   −R   8 )/( R   7   +R   8 )&lt;0.5  (condition 10):
 
23 &lt;V   1   −V   2 &lt;40  (condition 11):
 
     Wherein SD is the axial distance between the aperture stop  100  and the image-side surface  162 ; TD is the axial distance between the object-side surface  111  and the image-side surface  162 ; BFL is the axial distance between the image-side surface  162  and the image plane  180 ; TTL is the axial distance between the object-side surface  111  and the image plane  180 ; R 12  is the curvature radius of the image-side surface  162 ; T 23  is the axial distance between the image-side surface  122  and the object-side surface  131 ; T 34  is the axial distance between the image-side surface  132  and the object-side surface  141 ; T 45  is the axial distance between the image-side surface  142  and the object-side surface  151 ; CT 2  is the axial distance between the object-side surface  121  and the image-side surface  122 , i.e. the central thickness of the second lens element; CT 3  is the axial distance between the object-side surface  131  and the image-side surface  132 , i.e. the central thickness of the third lens element; R 7  is the curvature radius of the object-side surface  141 ; R 8  is the curvature radius of the image-side surface  142 ; ImgH is half of the diagonal length of the effective photosensitive area of the image sensor  182 ; f is the focal length of the photographing optical lens assembly  10 ; f 1  is the focal length of the first lens element  110 ; f 4  is the focal length of the fourth lens element  140 ; f 5  is the focal length of the fifth lens element  150 ; f 6  is the focal length of the sixth lens element  160 ; V 1  is the Abbe number of the first lens element  110 , and V 2  is the Abbe number of the second lens element  120 . 
     When the photographing optical lens assembly  10  satisfies Condition 2, the refractive power of the first lens element  110  is appropriate which helps control the total optical length of the photographing optical lens assembly  10 . When the photographing optical lens assembly  10  satisfies Condition 3, the aperture stop  100  has a proper position that provides the telecentric effect to enhance the image quality. When the photographing optical lens assembly  10  satisfies Condition 4, the back focal length is appropriate so that there is enough room for fabricating and focusing. When the photographing optical lens assembly  10  satisfies Condition 5, the total optical length of the photographing optical lens assembly  10  can be reduced. When the photographing optical lens assembly  10  satisfies Condition 6, the aberration of the photographing optical lens assembly  10  is corrected. 
     When the photographing optical lens assembly  10  satisfies Condition 7, the photographing optical lens assembly  10  is advantageous in miniaturization. When the photographing optical lens assembly  10  satisfies Condition 8, the refractive power of the fourth lens element  140 , the fifth lens element  150 , and the sixth lens element  160  are well balanced. The balanced refractive power benefits the correction of aberration and the reduction of the optical sensitivity of the photographing optical lens assembly  10 . When the photographing optical lens assembly  10  satisfies Condition 9, the total optical length of the photographing optical lens assembly  10  can be reduced. When the photographing optical lens assembly  10  satisfies Condition 10, the object-side surface  141  and the image-side surface  142  have the proper curvature radius so that the aberration of the photographing optical lens assembly  10  is not excessive. When the photographing optical lens assembly  10  satisfies Condition 11, the chromatism of the photographing optical lens assembly  10  can be corrected. 
     Furthermore, the lenses of the photographing optical lens assembly  10  can be made of glass or plastic. If a lens is made of glass, there is more freedom in distributing the overall refractive power for the photographing optical lens assembly  10 . If a lens is made of plastic, the manufacturing cost can be reduced. In addition, the surfaces of the lenses can be aspheric. Aspheric profile allows more design parameter freedom for the aberration correction which can reduce the required number of lenses to produce high quality images in the optical lens assembly, so that the total optical length of the photographing optical lens assembly  10  can be reduced effectively. 
     In the photographing optical lens assembly  10 , a convex surface means the surface at a paraxial site is convex. A concave surface means the surface at a paraxial site is concave. 
     Furthermore, at least one stop (such as glare stops, field stops, or other types of stops) may be disposed within the photographing optical lens assembly  10  if necessary for eliminating the stray light, adjusting the field of view, or other improvements concerning the image quality. 
     As for the optical lens assembly  10 , the specific schemes are further described with the following embodiments. Parameters in the embodiments are defined as follows. Fno is an f-number value of the photographing optical lens assembly, and HFOV is a half of maximal field of view in the photographing optical lens assembly  10 . The aspheric surface in the embodiments may be represented by, but not limited to, the following aspheric surface equation (Condition ASP): 
     
       
         
           
             
               X 
               ⁡ 
               
                 ( 
                 Y 
                 ) 
               
             
             = 
             
               
                 ( 
                 
                   
                     Y 
                     2 
                   
                   / 
                   R 
                 
                 ) 
               
               ⁢ 
               
                 / 
               
               ⁢ 
               
                 ( 
                 
                   1 
                   + 
                   
                     
                       sqrt 
                       ⁡ 
                       
                         ( 
                         
                           1 
                           - 
                           
                             
                               ( 
                               
                                 1 
                                 + 
                                 k 
                               
                               ) 
                             
                             * 
                             
                               ( 
                               
                                 Y 
                                 / 
                                 R 
                               
                               ) 
                             
                           
                         
                         ) 
                       
                     
                     2 
                   
                   + 
                   
                     
                       ∑ 
                       i 
                     
                     ⁢ 
                     
                       
                         ( 
                         Ai 
                         ) 
                       
                       * 
                       
                         ( 
                         
                           Y 
                           i 
                         
                         ) 
                       
                     
                   
                 
               
             
           
         
       
     
     Wherein Y is the distance from the point on the curve of the aspheric surface to the optical axis, X is the height of a point on the aspheric surface at a distance Y from the optical axis relative to the tangential plane at the aspheric surface vertex, k is a conic factor, Ai is an i th  order aspheric surface coefficient, and in the embodiments, i may be, but is not limited to, 4, 6, 8, 10, 12, 14 and 16. 
     The First Embodiment (Embodiment 1) 
       FIG. 1A  is a schematic structural view of the first embodiment of the photographing optical lens assembly. 
     In this embodiment, the first lens element  110  with positive refractive power comprises the convex object-side surface  111 . The second lens element  120  has negative refractive power. The third lens element  130  with positive refractive power comprises the concave image-side surface  132 . The fourth lens element  140  with positive refractive power comprises the concave object-side surface  141  and the convex image-side surface  142 . The fifth lens element  150  with negative refractive power comprises the convex object-side surface  151 , the concave image-side surface  152 , and the inflection points  153 . The sixth lens element  160  with negative refractive power comprises the convex object-side surface  161 , the concave image-side surface  162 , and the inflection points  163 . The aperture stop  100  can be disposed between the first lens element  110  and the second lens element  120 . 
     The detailed data of the photographing optical lens assembly  10  is as shown in Table 1-1 below: 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 1-1 
               
             
             
               
                   
               
               
                 Embodiment 1 
               
               
                 f = 4.07, Fno = 2.60, HFOV = 34.4 deg. 
               
             
          
           
               
                   
                   
                 Curvature 
                 Thickness 
                   
                   
                   
                 Focal length 
               
               
                 Surface # 
                 Member 
                 radius (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Lens 1 
                 1.688170(ASP) 
                 0.566 
                 Plastic 
                 1.544 
                 55.9 
                 3.02 
               
               
                 2 
                   
                 −54.436600(ASP) 
                 −0.026  
               
               
                 3 
                 Ape. 
                 Plano 
                 0.187 
               
               
                 4 
                 Lens 2 
                 −3.359800(ASP) 
                 0.261 
                 Plastic 
                 1.632 
                 23.4 
                 −5.81 
               
               
                 5 
                   
                 −40.436700(ASP) 
                 0.113 
               
               
                 6 
                 Lens 3 
                 2.277470(ASP) 
                 0.266 
                 Plastic 
                 1.544 
                 55.9 
                 68.88 
               
               
                 7 
                   
                 2.325000(ASP) 
                 0.619 
               
               
                 8 
                 Lens 4 
                 −1.676210(ASP) 
                 0.491 
                 Plastic 
                 1.530 
                 55.8 
                 8.25 
               
               
                 9 
                   
                 −1.334830(ASP) 
                 0.057 
               
               
                 10 
                 Lens 5 
                 2.822250(ASP) 
                 0.338 
                 Plastic 
                 1.530 
                 55.8 
                 −12.05 
               
               
                 11 
                   
                 1.876050(ASP) 
                 0.375 
               
               
                 12 
                 Lens 6 
                 1.300530(ASP) 
                 0.464 
                 Plastic 
                 1.530 
                 55.8 
                 −57.20 
               
               
                 13 
                   
                 1.092920(ASP) 
                 0.700 
               
               
                 14 
                 Infrared 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.290 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm, 
               
               
                 ASP represents aspheric 
               
             
          
         
       
     
     In Table 1-1, the first lens element  110 , the second lens element  120 , the third lens element  130 , the fourth lens element  140 , the fifth lens element  150 , and the sixth lens element  160  can all be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 1-2 below: 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 1-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 1 
                 2 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −9.94728E−01 
                 −1.00000E+00 
                 −1.00000E+01 
                 −1.00000E+00 
               
               
                 A 4   
                  1.59061E−03 
                 −7.66451E−02 
                  9.27752E−02 
                  1.87048E−01 
               
               
                 A 6   
                  1.09469E−02 
                 −7.01206E−02 
                 −3.41956E−02 
                 −3.04114E−02 
               
               
                 A 8   
                 −1.46547E−01 
                 −5.69562E−02 
                  1.13669E−01 
                  2.87264E−02 
               
               
                 A 10   
                  3.00673E−01 
                  6.34619E−01 
                 −3.41332E−01 
                 −1.58393E−02 
               
               
                 A 12   
                 −5.23152E−01 
                 −1.07352E+00 
                  2.19885E−01 
                 −1.04721E−01 
               
               
                 A 14   
                  4.09767E−01 
                 −3.41685E−01 
                  2.09379E−01 
                  1.36113E−01 
               
               
                 A 16   
                 −1.59312E−01 
                  1.15796E+00 
                 −1.66569E−01 
                 −1.46176E−02 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                 −1.00000E+00 
                 −1.00000E+00 
                 −3.61596E+00 
                 −1.21410E+00 
               
               
                 A 4   
                 −5.38455E−02 
                 −2.83211E−02 
                 −1.06439E−01 
                 −4.12421E−02 
               
               
                 A 6   
                 −3.44462E−02 
                 −3.33608E−02 
                  5.81821E−02 
                  2.56195E−02 
               
               
                 A 8   
                 −2.14017E−02 
                 −1.31147E−02 
                 −1.07226E−01 
                 −3.19532E−02 
               
               
                 A 10   
                  3.57584E−03 
                  2.65328E−03 
                  9.15270E−02 
                  1.11242E−02 
               
               
                 A 12   
                 — 
                 — 
                 −1.17124E−03 
                  8.02637E−03 
               
               
                 A 14   
                 — 
                 — 
                 −1.57509E−02 
                  2.57108E−03 
               
               
                 A 16   
                 — 
                 — 
                 −4.87416E−03 
                 −2.59621E−03 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −5.67803E+00 
                 −1.00000E+01 
                 −7.59004E+00 
                 −5.68534E+00 
               
               
                 A 4   
                 −2.86288E−02 
                 −1.52934E−04 
                 −6.31902E−02 
                 −4.25796E−02 
               
               
                 A 6   
                  7.40712E−03 
                 −7.81982E−03 
                  7.22119E−03 
                  2.01384E−03 
               
               
                 A 8   
                 −3.90295E−03 
                  5.54585E−04 
                 −1.85957E−04 
                 −5.15087E−05 
               
               
                 A 10   
                  1.00887E−03 
                  2.13520E−04 
                 — 
                 — 
               
               
                 A 12   
                  2.13454E−05 
                 −6.99915E−07 
                 — 
                 — 
               
               
                 A 14   
                 −4.88672E−05 
                 −1.21257E−05 
                 — 
                 — 
               
               
                 A 16   
                  4.74490E−06 
                  1.09951E−06 
                 — 
                 — 
               
               
                   
               
             
          
         
       
     
     In Table 1-1, the curvature radius, the thickness and the focal length are shown in millimeters (mm). Surface numbers 0-16 represent the surfaces sequentially arranged from the object-side to the image-side along the optical axis. “f” stands for the focal length, “Fno” is the f-number, and “HFOV” is the half field of view of this embodiment. In Table 1-2, k represents the conic coefficient of the equation of the aspheric surface profiles. A1-A16 represent the aspheric coefficients ranging from the 1st order to the 16th. All labels for Tables of the remaining embodiments share the same definitions as those in Table 1-1 and Table 1-2 of the first embodiment, and their definitions will not be stated again. 
     The content of Table 1-3 may be deduced from Table 1-1: 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 1-3 
               
               
                   
               
               
                 Embodiment 1 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.07 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 0.113 
               
               
                   
                 Fno 
                 2.60 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.201 
               
               
                   
                 HFOV(deg.) 
                 34.4 
                 f/f 1   
                 1.35 
               
               
                   
                 V 1  − V 2   
                 32.5 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 0.90 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.13 
                 SD/TD 
                 0.85 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.27 
                 BFL/TTL 
                 0.24 
               
               
                   
                 R 12 /f 
                 0.27 
                 TTL/ImgH 
                 1.73 
               
               
                   
               
             
          
         
       
     
     It can be observed from Table 1-3 that (R 9 −R 10 )/(R 9 +R 10 ) satisfies Condition 1; f/f 1  satisfies Condition 2; SD/TD satisfies Condition 3; BFL/TTL satisfies Condition 4; R 12 /f satisfies Condition 5; (T 23 +T 45 )/T 34  satisfies Condition 6; TTL/ImgH satisfies Condition 7; |f/f 4 |+|f/f 5 |+|f/f 6 | satisfies Condition 8; (CT 2 +CT 3 )/f satisfies Condition 9; (R 7 −R 8 )/(R 7 +R 8 ) satisfies Condition 10, and V 1 −V 2  satisfies Condition 11. 
       FIG. 1B  is a schematic view of longitudinal spherical aberration curves when the lights having wavelengths of 486.1 nm, 587.6 nm, and 656.3 nm are respectively projected in the photographing optical lens assembly  10  in  FIG. 1A . The longitudinal spherical aberration curve of the light having the wavelength of 486.1 nm in the photographing optical lens assembly  10  is indicated by a solid line L in  FIG. 1B . The longitudinal spherical aberration curve of the light having the wavelength of 587.6 nm in the photographing optical lens assembly  10  is indicated by a dashed line M in  FIG. 1B . The longitudinal spherical aberration curve of the light having the wavelength of 656.3 nm in the photographing optical lens assembly  10  is indicated by a dotted line N in  FIG. 1B . Horizontal axis is the focus position (millimeter, mm), and vertical axis is the normalized entrance pupil or aperture value. In other words, the differences of the focus positions of the paraxial light (the longitudinal coordinate is close to 0) and the fringe light (the longitudinal coordinate is close to 1) on the image plane  180  can be seen from the longitudinal spherical aberration curves. It can be observed from  FIG. 1B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  10  are within a range of −0.025 mm to 0.040 mm. 
     In the second embodiment to the ninth embodiment and the schematic views of the longitudinal spherical aberration curves in  FIGS. 2B ,  3 B,  4 B,  5 B,  6 B,  7 B,  8 B, and  9 B, the solid line L indicates the longitudinal spherical aberration curve of the light having the wavelength of 486.1 nm, the dashed line M indicates the longitudinal spherical aberration curve of the light having the wavelength of 587.6 nm, and the dotted line N indicates the longitudinal spherical aberration curve of the light having the wavelength of 656.3 nm, which will not be repeated herein for conciseness. 
       FIG. 1C  is a schematic view of astigmatic field curves when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly  10  in  FIG. 1A . An astigmatic field curve of a tangential plane is a dashed line T in  FIG. 1C . An astigmatic field curve of a sagittal plane is a solid line S in  FIG. 1C . Horizontal axis is the focus position (mm), and vertical axis is the image height (mm). It can be observed from  FIG. 1C  that the astigmatic field curvature of the tangential plane is within a range of −0.010 mm to 0.025 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.025 mm to 0.015 mm. 
     In the second embodiment to the ninth embodiment and the schematic views of the astigmatic field curves in  FIGS. 2C ,  3 C,  4 C,  5 C,  6 C,  7 C,  8 C and  9 C, the solid line S indicates the astigmatic field curve of the sagittal plane, and the dashed line T indicates the astigmatic field curve of the tangential plane, which will not be repeated herein for conciseness. 
       FIG. 1D  is a schematic view of a distortion curve when the light having the wavelength of 587.6 nm is projected in the photographing optical lens assembly  10  in  FIG. 1A . The horizontal axis is the distortion ratio (%), and the vertical axis is the image height (mm). It can be observed from  FIG. 1D  that the distortion ratio is within a range of 0% to 2.5%. As shown in  FIGS. 1B to 1D , the photographing optical lens assembly  10 , designed according to the first embodiment, is capable of effectively correcting various aberrations. 
     In the second embodiment to the ninth embodiment and the schematic views of the distortion curves in  FIGS. 2D ,  3 D,  4 D,  5 D,  6 D,  7 D,  8 D, and  9 D, the solid line G indicates the distortion curve of the light having the wavelength of 587.6 nm, which will not be repeated herein for conciseness. 
     It should be noted that the distortion curves and the astigmatic field curves of the wavelength of 486.1 nm and 656.3 nm are highly similar to the distortion curve and the astigmatic field curves of the wavelength of 587.6 nm. In order to prevent the confusion of reading the curves in  FIGS. 1C and 1D , the distortion curve and the astigmatic field curves of wavelengths of 486.1 nm and 656.3 nm are not shown in  FIGS. 1C and 1D , and the same applies throughout the rest of the embodiments of this present disclosure. 
     The Second Embodiment (Embodiment 2) 
       FIG. 2A  is a schematic structural view of the second embodiment of the photographing optical lens assembly. The specific implementation and elements of the second embodiment are substantially the same as those in the first embodiment. The element symbols in the second embodiment all begin with “2” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  20  is 587.6 nm, but this wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  210  with positive refractive power comprises a convex object-side surface  211 . A second lens element  220  has negative refractive power. A third lens element  230  with positive refractive power comprises a concave image-side surface  232 . A fourth lens element  240  with positive refractive power comprises a concave object-side surface  241  and a convex image-side surface  242 . A fifth lens element  250  with negative refractive power comprises a convex object-side surface  251 , a concave image-side surface  252  and two inflection points  253 . A sixth lens element  260  with negative refractive power comprises a convex object-side surface  261 , a concave image-side surface  262  and two inflection points  263 . An aperture stop  200  can be disposed between the first lens element  210  and the object. 
     The detailed data of the photographing optical lens assembly  20  is as shown in Table 2-1 below: 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 2-1 
               
             
             
               
                   
               
               
                 Embodiment 2 
               
               
                 f = 3.86, Fno = 2.80, HFOV = 35.9 deg. 
               
             
          
           
               
                   
                   
                 Curvature radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface # 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. 
                 Plano 
                 −0.093  
               
               
                 2 
                 Lens 1 
                 1.651590(ASP) 
                 0.444 
                 Plastic 
                 1.544 
                 55.9 
                 3.38 
               
               
                 3 
                   
                 14.723500(ASP) 
                 0.136 
               
               
                 4 
                 Lens 2 
                 −5.931600(ASP) 
                 0.250 
                 Plastic 
                 1.634 
                 23.8 
                 −6.23 
               
               
                 5 
                   
                 12.012100(ASP) 
                 0.090 
               
               
                 6 
                 Lens 3 
                 1.925990(ASP) 
                 0.283 
                 Plastic 
                 1.544 
                 55.9 
                 17.72 
               
               
                 7 
                   
                 2.282220(ASP) 
                 0.633 
               
               
                 8 
                 Lens 4 
                 −1.777020(ASP) 
                 0.511 
                 Plastic 
                 1.530 
                 55.8 
                 5.25 
               
               
                 9 
                   
                 −1.192140(ASP) 
                 0.057 
               
               
                 10 
                 Lens 5 
                 3.474500(ASP) 
                 0.344 
                 Plastic 
                 1.583 
                 30.2 
                 −5.89 
               
               
                 11 
                   
                 1.663960(ASP) 
                 0.329 
               
               
                 12 
                 Lens 6 
                 1.188600(ASP) 
                 0.491 
                 Plastic 
                 1.530 
                 55.8 
                 321.46 
               
               
                 13 
                   
                 1.025680(ASP) 
                 0.800 
               
               
                 14 
                 Infrared 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.151 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm, 
               
               
                 ASP represents aspheric. 
               
             
          
         
       
     
     In Table 2-1, from the first lens element  210  to the sixth lens element  260 , all lens elements can be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 2-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 2-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −1.33270E+00 
                 −1.00000E+00 
                 −1.00000E+01 
                 −1.00000E+00 
               
               
                 A 4   
                 −7.85373E−03 
                 −1.28677E−01 
                  1.04817E−01 
                  1.65890E−01 
               
               
                 A 6   
                  7.31073E−03 
                 −4.82706E−02 
                 −9.02634E−02 
                 −1.54308E−02 
               
               
                 A 8   
                 −2.20177E−01 
                 −2.60324E−01 
                  1.78923E−01 
                  5.57066E−02 
               
               
                 A 10   
                  2.79474E−01 
                  8.55972E−01 
                 −2.59450E−01 
                  1.04990E−02 
               
               
                 A 12   
                 −5.23152E−01 
                 −1.07352E+00 
                  2.19885E−01 
                 −1.04721E−01 
               
               
                 A 14   
                  4.09850E−01 
                 −3.41665E−01 
                  2.09379E−01 
                  1.36113E−01 
               
               
                 A 16   
                 −1.59291E−01 
                  1.15796E+00 
                 −1.66574E−01 
                 −1.46176E−02 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                 −1.29262E+00 
                 −1.09322E+00 
                 −1.75889E+00 
                 −1.36744E+00 
               
               
                 A 4   
                 −8.17675E−02 
                 −3.27659E−02 
                 −9.75451E−02 
                 −3.84290E−02 
               
               
                 A 6   
                 −1.81690E−02 
                 −3.84875E−02 
                  8.22654E−02 
                  2.50924E−02 
               
               
                 A 8   
                 −1.07739E−02 
                 −6.41439E−03 
                 −1.12449E−01 
                 −3.24423E−02 
               
               
                 A 10   
                  1.48959E−02 
                  1.48897E−02 
                  8.24219E−02 
                  1.03709E−02 
               
               
                 A 12   
                  5.53488E−03 
                  1.34841E−03 
                 −7.49772E−03 
                  7.64481E−03 
               
               
                 A 14   
                 −2.81837E−08 
                 −1.52594E−03 
                 −1.61432E−02 
                  2.34446E−03 
               
               
                 A 16   
                 — 
                 — 
                  2.49426E−03 
                 −2.77081E−03 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −4.37850E+00 
                 −9.94436E+00 
                 −7.49068E+00 
                 −5.81520E+00 
               
               
                 A 4   
                 −2.95037E−02 
                 −3.44326E−03 
                 −6.32326E−02 
                 −4.14803E−02 
               
               
                 A 6   
                  5.75210E−03 
                 −5.53589E−03 
                  7.84310E−03 
                  1.96140E−03 
               
               
                 A 8   
                 −4.01662E−03 
                  2.16183E−04 
                 −2.20731E−04 
                 −9.00605E−05 
               
               
                 A 10   
                  9.85076E−04 
                  1.76276E−04 
                 — 
                 — 
               
               
                 A 12   
                  1.69675E−05 
                  2.49445E−06 
                 — 
                 — 
               
               
                 A 14   
                 −4.99459E−05 
                 −1.10618E−05 
                 — 
                 — 
               
               
                 A 16   
                  4.85710E−06 
                  1.29914E−06 
                 — 
                 — 
               
               
                   
               
             
          
         
       
     
     The content of Table 2-3 may be deduced from Table 2-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 2-3 
               
               
                   
               
               
                 Embodiment 2 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 3.86 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 0.197 
               
               
                   
                 Fno 
                 2.80 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.352 
               
               
                   
                 HFOV(deg.) 
                 35.9 
                 f/f 1   
                 1.14 
               
               
                   
                 V 1  − V 2   
                 32.1 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 1.40 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.14 
                 SD/TD 
                 0.97 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.23 
                 BFL/TTL 
                 0.24 
               
               
                   
                 R 12 /f 
                 0.27 
                 TTL/ImgH 
                 1.66 
               
               
                   
               
             
          
         
       
     
       FIG. 2B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  20 . It can be observed from  FIG. 2B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  20  are within a range of −0.010 mm to 0.025 mm. 
       FIG. 2C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  20 . It can be observed from  FIG. 2C  that the astigmatic field curvature of the tangential plane is within a range of 0.00 mm to 0.025 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.025 mm to 0.015 mm. 
       FIG. 2D  is a schematic view of a distortion curve of the photographing optical lens assembly  20 . It can be observed from  FIG. 2D  that the distortion ratio is within a range of 0.0% to 2.5%. As shown in  FIGS. 2B to 2D , the photographing optical lens assembly  20 , designed according to the second embodiment, is capable of effectively correcting various aberrations. 
     The Third Embodiment (Embodiment 3) 
       FIG. 3A  is a schematic structural view of the third embodiment of the photographing optical lens assembly. The specific implementation and elements of the third embodiment are substantially the same as those in the first embodiment. The element symbols in the third embodiment all begin with “3” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  30  is 587.6 nm, but the wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  310  with positive refractive power comprises a convex object-side surface  311 . A second lens element  320  has negative refractive power. A third lens element  330  with positive refractive power comprises a concave image-side surface  332 . A fourth lens element  340  with negative refractive power comprises a concave object-side surface  341  and a convex image-side surface  342 . A fifth lens element  350  with negative refractive power comprises a convex object-side surface  351 , a concave image-side surface  352 , and two inflection points  353 . A sixth lens element  360  with positive refractive power comprises a convex object-side surface  361 , a concave image-side surface  362 , and two inflection points  363 . An aperture stop  300  can be disposed between the first lens element  310  and the second lens element  320 . 
     The detailed data of the photographing optical lens assembly  30  is as shown in Table 3-1 below. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 3-1 
               
             
             
               
                   
               
               
                 Embodiment 3 
               
               
                 f = 4.46 mm, Fno = 2.60, HFOV = 32.5 deg. 
               
             
          
           
               
                   
                   
                 Curvature radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface # 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Lens 1 
                 1.685240(ASP) 
                 0.542 
                 Plastic 
                 1.544 
                 55.9 
                 3.16 
               
               
                 2 
                   
                 76.290300(ASP) 
                 0.008 
               
               
                 3 
                 Ape. 
                 Plano 
                 0.075 
               
               
                 4 
                 Lens 2 
                 3.495700(ASP) 
                 0.250 
                 Plastic 
                 1.632 
                 23.4 
                 −5.96 
               
               
                 5 
                   
                 1.763320(ASP) 
                 0.199 
               
               
                 6 
                 Lens 3 
                 3.387500(ASP) 
                 0.302 
                 Plastic 
                 1.544 
                 55.9 
                 14.14 
               
               
                 7 
                   
                 5.860500(ASP) 
                 0.448 
               
               
                 8 
                 Lens 4 
                 −1.881460(ASP) 
                 0.472 
                 Plastic 
                 1.632 
                 23.4 
                 −14.62 
               
               
                 9 
                   
                 −2.591980(ASP) 
                 0.141 
               
               
                 10 
                 Lens 5 
                 5.193800(ASP) 
                 0.630 
                 Plastic 
                 1.544 
                 55.9 
                 −39.85 
               
               
                 11 
                   
                 4.011100(ASP) 
                 0.193 
               
               
                 12 
                 Lens 6 
                 1.583190(ASP) 
                 0.536 
                 Plastic 
                 1.544 
                 55.9 
                 25.02 
               
               
                 13 
                   
                 1.577780(ASP) 
                 0.700 
               
               
                 14 
                 IR-filter 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.406 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm, 
               
               
                 ASP represents aspheric 
               
             
          
         
       
     
     In Table 3-1, from the first lens element  310  to the sixth lens element  360 , all lens elements can be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 3-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 3-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 1 
                 2 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −5.32817E−01 
                 −1.00000E+00 
                 −1.00000E+01 
                 −2.81013E+00  
               
               
                 A 4   
                 −5.69598E−03 
                 −5.26592E−02 
                 −2.22636E−02 
                 3.73435E−02 
               
               
                 A 6   
                 −2.46613E−02 
                  2.74979E−03 
                  9.05107E−02 
                 3.98767E−02 
               
               
                 A 8   
                  3.58648E−03 
                 −3.12279E−02 
                 −5.80411E−02 
                 1.10009E−01 
               
               
                 A 10   
                 −3.85316E−02 
                 −1.31973E−02 
                  1.64120E−02 
                 −1.75759E−01  
               
               
                 A 12   
                  5.47527E−04 
                  1.40366E−02 
                  3.60695E−02 
                 1.43017E−01 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                 −1.00000E+00 
                 −1.00000E+00 
                 −4.09418E−01 
                  2.34374E+00 
               
               
                 A 4   
                 −1.28260E−02 
                 −6.41027E−03 
                 −4.28663E−02 
                 −6.88771E−02 
               
               
                 A 6   
                 −3.25173E−03 
                 −1.67201E−02 
                  1.78059E−02 
                  7.75948E−02 
               
               
                 A 8   
                  9.28602E−03 
                  2.22358E−03 
                 −3.08921E−02 
                 −2.04321E−02 
               
               
                 A 10   
                  3.55072E−02 
                  1.38083E−02 
                  3.57849E−02 
                  8.85034E−03 
               
               
                 A 12   
                 −1.63569E−05 
                  1.07848E−02 
                 −2.63837E−02 
                 −8.60488E−04 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                  2.34521E+00 
                 0.00000E+00 
                 −5.68341E+00 
                 −5.03798E+00 
               
               
                 A 4   
                 −5.97523E−02 
                 −4.17290E−02 
                 −8.48349E−02 
                 −7.29846E−02 
               
               
                 A 6   
                  1.52538E−03 
                 −2.28651E−03 
                  6.46958E−03 
                  8.14468E−03 
               
               
                 A 8   
                  7.06467E−04 
                 5.45892E−04 
                  3.20023E−04 
                 −1.41081E−03 
               
               
                 A 10   
                 −8.21833E−04 
                 6.26931E−06 
                 −3.00675E−05 
                  7.09856E−05 
               
               
                 A 12   
                 −5.62729E−05 
                 −3.30350E−05 
                  5.48489E−06 
                  2.07934E−05 
               
               
                 A 14   
                 — 
                 — 
                 — 
                 −1.66400E−06 
               
               
                   
               
             
          
         
       
     
     The content of Table 3-3 may be deduced from Table 3-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 3-3 
               
               
                   
               
               
                 Embodiment 3 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.46 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 −0.159 
               
               
                   
                 Fno 
                 2.60 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.128 
               
               
                   
                 HFOV(deg.) 
                 32.5 
                 f/f 1   
                 1.41 
               
               
                   
                 V 1  − V 2   
                 32.5 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 0.60 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.12 
                 SD/TD 
                 0.86 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.76 
                 BFL/TTL 
                 0.26 
               
               
                   
                 R 12 /f 
                 0.35 
                 TTL/ImgH 
                 1.79 
               
               
                   
               
             
          
         
       
     
       FIG. 3B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  30 . It can be observed from  FIG. 3B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  30  are within a range of −0.010 mm to 0.025 mm. 
       FIG. 3C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  30 . It can be observed from  FIG. 3C  that the astigmatic field curvature of the tangential plane is within a range of 0.0 mm to 0.025 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.015 mm to 0.005 mm. 
       FIG. 3D  is a schematic view of a distortion curve of the photographing optical lens assembly  30 . It can be observed from  FIG. 3D  that the distortion ratio is within a range of −1.0% to 1.0%. As shown in  FIGS. 3B to 3D , the photographing optical lens assembly  30 , designed according to the third embodiment, is capable of effectively correcting various aberrations. 
     The Fourth Embodiment (Embodiment 4) 
       FIG. 4A  is a schematic structural view of the fourth embodiment of the photographing optical lens assembly. The specific implementation and elements of the fourth embodiment are substantially the same as those in the first embodiment. The element symbols in the fourth embodiment all begin with “4” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  40  is 587.6 nm, but the wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  410  with positive refractive power comprises a convex object-side surface  411 . A second lens element  420  has negative refractive power. A third lens element  430  with positive refractive power comprises a concave image-side surface  432 . A fourth lens element  440  with negative refractive power comprises a concave object-side surface  441  and a convex image-side surface  442 . A fifth lens element  450  with positive refractive power comprises a convex object-side surface  451 , a concave image-side surface  452 , and two inflection points  453 . A sixth lens element  460  with positive refractive power comprises a convex object-side surface  461 , a concave image-side surface  462 , and two inflection points  463 . An aperture stop  400  can be disposed between the first lens element  410  and the second lens element  420 . 
     The detailed data of the photographing optical lens assembly  40  is as shown in Table 4-1 below. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 4-1 
               
             
             
               
                   
               
               
                 Embodiment 4 
               
               
                 f = 4.46 mm, Fno = 2.60, HFOV = 32.5 deg. 
               
             
          
           
               
                   
                   
                 Curvature radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface# 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Lens 1 
                 1.834910(ASP) 
                 0.570 
                 Plastic 
                 1.544 
                 55.9 
                 3.15 
               
               
                 2 
                   
                 −23.488200(ASP) 
                 −0.049  
               
               
                 3 
                 Ape. 
                 Plano 
                 0.180 
               
               
                 4 
                 Lens 2 
                 −18.656700(ASP) 
                 0.278 
                 Plastic 
                 1.632 
                 23.4 
                 −5.97 
               
               
                 5 
                   
                 4.757800(ASP) 
                 0.259 
               
               
                 6 
                 Lens 3 
                 2.347300(ASP) 
                 0.284 
                 Plastic 
                 1.544 
                 55.9 
                 16.03 
               
               
                 7 
                   
                 3.074800(ASP) 
                 0.470 
               
               
                 8 
                 Lens 4 
                 −1.580330(ASP) 
                 0.357 
                 Plastic 
                 1.632 
                 23.4 
                 −10.73 
               
               
                 9 
                   
                 −2.240680(ASP) 
                 0.065 
               
               
                 10 
                 Lens 5 
                 3.406000(ASP) 
                 0.627 
                 Plastic 
                 1.544 
                 55.9 
                 129.21 
               
               
                 11 
                   
                 3.347200(ASP) 
                 0.200 
               
               
                 12 
                 Lens 6 
                 1.591620(ASP) 
                 0.596 
                 Plastic 
                 1.544 
                 55.9 
                 22.48 
               
               
                 13 
                   
                 1.588290(ASP) 
                 0.700 
               
               
                 14 
                 IR-filter 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.449 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm 
               
             
          
         
       
     
     In Table 4-1, from the first lens element  410  to the sixth lens element  460 , all lenses can be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 4-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 4-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 1 
                 2 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −6.59310E−01 
                 −1.00000E+00 
                 0.00000E+00 
                 −1.92119E+01  
               
               
                 A 4   
                 −9.33154E−03 
                 −5.99498E−02 
                 3.56275E−04 
                 2.01891E−02 
               
               
                 A 6   
                 −2.82703E−02 
                 −1.04837E−02 
                 1.07852E−01 
                 5.59198E−02 
               
               
                 A 8   
                 −6.36889E−03 
                  9.21343E−03 
                 −4.23176E−02  
                 1.28756E−01 
               
               
                 A 10   
                 −2.64375E−02 
                 −3.54169E−02 
                 −2.17657E−02  
                 −2.55367E−01  
               
               
                 A 12   
                  5.55531E−04 
                  1.40931E−02 
                 3.60678E−02 
                 1.43016E−01 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                 −1.00000E+00 
                 −1.00000E+00 
                 −3.06731E+00 
                  9.71501E−01 
               
               
                 A 4   
                 −9.76301E−02 
                 −1.95864E−02 
                  2.52984E−02 
                 −8.07438E−03 
               
               
                 A 6   
                 −1.01631E−02 
                 −5.59234E−02 
                  4.11863E−02 
                  8.44757E−02 
               
               
                 A 8   
                 −2.71467E−02 
                  1.24840E−02 
                 −3.81793E−02 
                 −3.20353E−02 
               
               
                 A 10   
                  7.90390E−03 
                 −1.65455E−02 
                  2.45770E−02 
                  6.68380E−03 
               
               
                 A 12   
                 −3.66838E−03 
                 −6.26253E−04 
                 −2.34361E−02 
                 −2.64461E−04 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −1.76892E+00 
                 0.00000+00 
                 −7.70613E+00 
                 −6.69083E+00 
               
               
                 A 4   
                 −7.09127E−02 
                 −5.46082E−02 
                 −8.39249E−02 
                 −6.76588E−02 
               
               
                 A 6   
                  2.70982E−03 
                  2.71610E−03 
                  9.14098E−03 
                  9.24683E−03 
               
               
                 A 8   
                  6.68203E−04 
                 −2.58205E−04 
                  5.01978E−04 
                 −1.51491E−03 
               
               
                 A 10   
                 −1.93334E−03 
                 −1.85881E−04 
                 −4.07349E−05 
                  6.33452E−05 
               
               
                 A 12   
                 −2.43560E−04 
                  2.15888E−05 
                 −5.73868E−06 
                  1.98123E−05 
               
               
                 A 14   
                 — 
                 — 
                 — 
                 −1.50566E−06 
               
               
                   
               
             
          
         
       
     
     The content of Table 4-3 may be deduced from Table 4-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 4-3 
               
               
                   
               
               
                 Embodiment 4 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.44 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 −0.173 
               
               
                   
                 Fno 
                 2.40 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.009 
               
               
                   
                 HFOV(deg.) 
                 32.5 
                 f/f 1   
                 1.41 
               
               
                   
                 V 1  − V 2   
                 32.5 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 0.65 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.13 
                 SD/TD 
                 0.86 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.69 
                 BFL/TTL 
                 0.26 
               
               
                   
                 R 12 /f 
                 0.36 
                 TTL/ImgH 
                 1.82 
               
               
                   
               
             
          
         
       
     
       FIG. 4B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  40 . It can be observed from  FIG. 4B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  40  are within a range of −0.005 mm to 0.050 mm. 
       FIG. 4C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  40 . It can be observed from  FIG. 4C  that the astigmatic field curvature of the tangential plane is within a range of 0.0 mm to 0.040 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.005 mm to 0.015 mm. 
       FIG. 4D  is a schematic view of a distortion curve of the photographing optical lens assembly  40 . It can be observed from  FIG. 4D  that the distortion ratio is within a range of 0.0% to 2.0%. As shown in  FIGS. 4B to 4D , the photographing optical lens assembly  40 , designed according to the fourth embodiment, is capable of effectively correcting various aberrations. 
     The Fifth Embodiment (Embodiment 5) 
       FIG. 5A  is a schematic structural view of the fifth embodiment of the photographing optical lens assembly. The specific implementation and elements of the fifth embodiment are substantially the same as those in the first embodiment. The element symbols in the fifth embodiment all begin with “5” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  50  is 587.6 nm, but the wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  510  with positive refractive power comprises a convex object-side surface  511 . A second lens element  520  has negative refractive power. A third lens element  530  with positive refractive power comprises a concave image-side surface  532 . A fourth lens element  540  with negative refractive power comprises a concave object-side surface  541  and a convex image-side surface  542 . A fifth lens element  550  with positive refractive power comprises a convex object-side surface  551 , a concave image-side surface  552 , and two inflection points  553 . A sixth lens element  560  with positive refractive power comprises a convex object-side surface  561 , a concave image-side surface  562 , and two inflection points  563 . An aperture stop  500  can be disposed between the first lens element  510  and the object-side of the optical axis (Left side of  FIG. 5A ). 
     The detailed data of the photographing optical lens assembly  50  is as shown in Table 5-1 below. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 5-1 
               
             
             
               
                   
               
               
                 Embodiment 5 
               
               
                 f = 4.44 mm, Fno = 2.40, HFOV = 32.5 deg. 
               
             
          
           
               
                   
                   
                 Curvature Radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface# 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. 
                 Plano 
                 −0.153  
               
               
                 2 
                 Lens 1 
                 1.757050(ASP) 
                 0.603 
                 Plastic 
                 1.544 
                 55.9 
                 3.13 
               
               
                 3 
                   
                 −46.769700(ASP) 
                 0.100 
               
               
                 4 
                 Lens 2 
                 20.071600(ASP) 
                 0.268 
                 Plastic 
                 1.634 
                 23.8 
                 −5.47 
               
               
                 5 
                   
                 2.941720(ASP) 
                 0.239 
               
               
                 6 
                 Lens 3 
                 2.384770(ASP) 
                 0.298 
                 Plastic 
                 1.544 
                 55.9 
                 13.55 
               
               
                 7 
                   
                 3.370000(ASP) 
                 0.448 
               
               
                 8 
                 Lens 4 
                 −1.591540(ASP) 
                 0.367 
                 Plastic 
                 1.634 
                 23.8 
                 −11.82 
               
               
                 9 
                   
                 −2.201410(ASP) 
                 0.050 
               
               
                 10 
                 Lens 5 
                 3.669800(ASP) 
                 0.632 
                 Plastic 
                 1.535 
                 56.3 
                 −125.11 
               
               
                 11 
                   
                 3.270200(ASP) 
                 0.180 
               
               
                 12 
                 Lens 6 
                 1.482020(ASP) 
                 0.598 
                 Plastic 
                 1.535 
                 56.3 
                 18.50 
               
               
                 13 
                   
                 1.498180(ASP) 
                 0.700 
               
               
                 14 
                 IR-filter 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.424 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm 
               
             
          
         
       
     
     In Table 5-1, from the first lens element  510  to the sixth lens element  560 , all lenses can be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 5-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 5-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −4.85962E−01 
                 −1.00000E+00 
                  0.00000E+00 
                 −5.45107E+00  
               
               
                 A 4   
                 −4.63259E−03 
                 −6.17626E−02 
                 −1.59077E−02 
                 1.75524E−02 
               
               
                 A 6   
                 −5.05585E−02 
                 −4.40404E−02 
                  8.33807E−02 
                 6.82135E−02 
               
               
                 A 8   
                  4.05358E−02 
                  2.23783E−02 
                 −3.61055E−02 
                 1.46519E−01 
               
               
                 A 10   
                 −7.01338E−02 
                 −4.77831E−02 
                 −2.61487E−02 
                 −2.68630E−01  
               
               
                 A 12   
                  4.73320E−04 
                  1.40268E−02 
                  3.66720E−02 
                 1.43013E−01 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                 −1.00000E+00 
                 −1.00000E+00 
                 −3.15023E+00 
                  8.80274E−01 
               
               
                 A 4   
                 −9.32067E−02 
                 −1.49040E−02 
                  2.75514E−02 
                 −4.85834E−03 
               
               
                 A 6   
                 −9.50051E−03 
                 −5.53285E−02 
                  4.47192E−02 
                  8.40273E−02 
               
               
                 A 8   
                 −2.15526E−02 
                  1.50415E−02 
                 −3.75321E−02 
                 −3.24794E−02 
               
               
                 A 10   
                  1.18681E−02 
                 −1.52880E−02 
                  2.38437E−02 
                  6.65014E−03 
               
               
                 A 12   
                 −1.63627E−03 
                 −2.50960E−03 
                 −2.24794E−02 
                 −2.60572E−04 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −9.77209E−01 
                  0.00000E+00 
                 −6.30485E+00 
                 −5.82976E+00 
               
               
                 A 4   
                 −6.90338E−02 
                 −5.62897E−02 
                 −8.62534E−02 
                 −6.89849E−02 
               
               
                 A 6   
                  1.35993E−03 
                  2.87583E−03 
                  9.10119E−03 
                  9.04722E−03 
               
               
                 A 8   
                 −1.39334E−04 
                 −2.88743E−04 
                  4.78809E−04 
                 −1.48731E−03 
               
               
                 A 10   
                 −1.94710E−03 
                 −1.86205E−04 
                 −3.94985E−05 
                  6.59309E−05 
               
               
                 A 12   
                 −2.18586E−04 
                  2.26306E−05 
                 −4.55811E−06 
                  1.98644E−05 
               
               
                 A 14   
                 — 
                 — 
                 — 
                 −1.53882E−06 
               
               
                   
               
             
          
         
       
     
     The content of Table 5-3 may be deduced from Table 5-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 5-3 
               
               
                   
               
               
                 Embodiment 5 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.38 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 −0.161 
               
               
                   
                 Fno 
                 2.50 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.058 
               
               
                   
                 HFOV(deg.) 
                 32.8 
                 f/f 1   
                 1.40 
               
               
                   
                 V 1  − V 2   
                 32.1 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 0.64 
               
               
                   
                 (CT 2 + CT 3 )/f 
                 0.13 
                 SD/TD 
                 0.96 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.65 
                 BFL/TTL 
                 0.26 
               
               
                   
                 R 12 /f 
                 0.34 
                 TTL/ImgH 
                 1.79 
               
               
                   
               
             
          
         
       
     
       FIG. 5B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  50 . It can be observed from  FIG. 5B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  50  are within a range of 0.0 mm to 0.040 mm. 
       FIG. 5C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  50 . It can be observed from  FIG. 5C  that the astigmatic field curvature of the tangential plane is within a range of 0.005 mm to 0.040 mm, and the astigmatic field curvature of the sagittal plane is within a range of 0.0 mm to 0.015 mm. 
       FIG. 5D  is a schematic view of a distortion curve of the photographing optical lens assembly  50 . It can be observed from  FIG. 5D  that the distortion ratio is within a range of 0.0% to 1.5%. As shown in  FIGS. 5B to 5D , the photographing optical lens assembly  50 , designed according to the fifth embodiment, is capable of effectively correcting various aberrations. 
     The Sixth Embodiment (Embodiment 6) 
       FIG. 6A  is a schematic structural view of the sixth embodiment of the photographing optical lens assembly. The specific implementation and elements of the sixth embodiment are substantially the same as those in the first embodiment. The element symbols in the sixth embodiment all begin with “6” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  60  is 587.6 nm, but the wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  610  with positive refractive power comprises a convex object-side surface  611 . A second lens element  620  has positive refractive power. A third lens element  630  with negative refractive power comprises a concave image-side surface  632 . A fourth lens element  640  with positive refractive power comprises a concave object-side surface  641  and a convex image-side surface  642 . A fifth lens element  650  with negative refractive power comprises a convex object-side surface  651 , a concave image-side surface  652 , and two inflection points  653 . A sixth lens element  660  with positive refractive power comprises a convex object-side surface  661 , a concave image-side surface  662 , and two inflection points  663 . An aperture stop  600  can be disposed between the first lens element  610  and the object-side of the optical axis (Left side of  FIG. 6A ). 
     The detailed data of the photographing optical lens assembly  60  is as shown in Table 6-1 below. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 6-1 
               
             
             
               
                   
               
               
                 Embodiment 6 
               
               
                 f = 4.75 mm, Fno = 3.00, HFOV = 30.8 deg. 
               
             
          
           
               
                   
                   
                 Curvature Radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface# 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. 
                 Plano 
                 0.100 
               
               
                 2 
                 Lens 1 
                 2.152490(ASP) 
                 0.617 
                 Plastic 
                 1.544 
                 55.9 
                 3.21 
               
               
                 3 
                   
                 −8.328200(ASP) 
                 0.100 
               
               
                 4 
                 Lens 2 
                 −9.423200(ASP) 
                 0.388 
                 Plastic 
                 1.632 
                 23.4 
                 171.31 
               
               
                 5 
                   
                 −8.807200(ASP) 
                 0.120 
               
               
                 6 
                 Lens 3 
                 −17.167700(ASP) 
                 0.300 
                 Plastic 
                 1.614 
                 25.6 
                 −4.85 
               
               
                 7 
                   
                 3.625500(ASP) 
                 0.899 
               
               
                 8 
                 Lens 4 
                 −3.121100(ASP) 
                 0.644 
                 Plastic 
                 1.530 
                 55.8 
                 77.93 
               
               
                 9 
                   
                 −3.109200(ASP) 
                 0.081 
               
               
                 10 
                 Lens 5 
                 1.796700(ASP) 
                 0.784 
                 Plastic 
                 1.530 
                 55.8 
                 −59.68 
               
               
                 11 
                   
                 1.443150(ASP) 
                 0.150 
               
               
                 12 
                 Lens 6 
                 1.759260(ASP) 
                 0.417 
                 Plastic 
                 1.544 
                 55.9 
                 18.59 
               
               
                 13 
                   
                 1.951780(ASP) 
                 0.700 
               
               
                 14 
                 IR-filter 
                 Plano 
                 0.400 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.302 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm 
               
             
          
         
       
     
     In Table 6-1, from the first lens element  610  to the sixth lens element  660 , all lens elements can be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 6-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 6-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −5.30262E−01 
                 −3.35619E+01 
                 −5.69788E+01 
                 −1.59941E+00 
               
               
                 A 4   
                 −3.52973E−03 
                 −1.50932E−02 
                 −4.46232E−03 
                 −1.83378E−03 
               
               
                 A 6   
                 −1.62487E−03 
                 −2.91399E−02 
                 −2.29821E−02 
                  3.13611E−04 
               
               
                 A 8   
                 −1.93803E−02 
                 −1.36497E−02 
                  1.91527E−03 
                 −7.18608E−04 
               
               
                 A 10   
                 −2.91580E−04 
                  1.06037E−02 
                  1.86133E−02 
                 −1.63033E−04 
               
               
                 A 12   
                 — 
                 — 
                 −3.35756E−03 
                 — 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                  9.13723E+01 
                 1.87261E+00 
                 −3.03803E+01 
                  3.62127E−01 
               
               
                 A 4   
                 −5.69047E−04 
                 2.65235E−02 
                  3.31423E−02 
                 −1.44260E−02 
               
               
                 A 6   
                 −9.27822E−05 
                 −3.18407E−02  
                 −4.31940E−02 
                  2.18114E−02 
               
               
                 A 8   
                  1.69487E−04 
                 3.84778E−02 
                  1.95554E−02 
                 −4.20389E−03 
               
               
                 A 10   
                 −1.04122E−03 
                 −1.88278E−02  
                 −4.38054E−03 
                 −5.80357E−04 
               
               
                 A 12   
                 — 
                 4.71828E−03 
                 −4.06202E−04 
                  1.10720E−04 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −9.77778E+00 
                 −1.95351E+01 
                 −3.05852E+01  
                 −4.65636E+00 
               
               
                 A 4   
                 −5.99117E−02 
                 −3.18215E−02 
                 −1.19530E−02  
                 −2.36748E−02 
               
               
                 A 6   
                  1.69295E−02 
                  8.11310E−03 
                 6.01147E−04 
                  2.24707E−03 
               
               
                 A 8   
                 −4.09539E−04 
                 −1.79669E−03 
                 2.02782E−05 
                  5.01172E−05 
               
               
                 A 10   
                 −8.62579E−04 
                  1.31304E−04 
                 7.63863E−06 
                 −1.04778E−05 
               
               
                 A 12   
                  1.18682E−04 
                 −4.93833E−06 
                 1.02917E−06 
                 −4.84331E−07 
               
               
                 A 14   
                 −2.47769E−06 
                 — 
                 −2.61860E−07  
                  5.75116E−09 
               
               
                   
               
             
          
         
       
     
     The content of Table 6-3 may be deduced from Table 6-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 6-3 
               
               
                   
               
               
                 Embodiment 6 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.75 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 0.002 
               
               
                   
                 Fno 
                 3.00 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.109 
               
               
                   
                 HFOV(deg.) 
                 30.8 
                 f/f 1   
                 1.48 
               
               
                   
                 V 1  − V 2   
                 32.5 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 0.40 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.14 
                 SD/TD 
                 1.02 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.22 
                 BFL/TTL 
                 0.22 
               
               
                   
                 R 12 /f 
                 0.41 
                 TTL/ImgH 
                 2.02 
               
               
                   
               
             
          
         
       
     
       FIG. 6B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  60 . It can be observed from  FIG. 6B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  60  are within a range of −0.025 mm to 0.015 mm. 
       FIG. 6C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  60 . It can be observed from  FIG. 6C  that the astigmatic field curvature of the tangential plane is within a range of −0.025 mm to 0.020 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.025 mm to 0.015 mm. 
       FIG. 6D  is a schematic view of a distortion curve of the photographing optical lens assembly  60 . It can be observed from  FIG. 6D  that the distortion ratio is within a range of 0.0% to 2.0%. As shown in  FIGS. 6B to 6D , the photographing optical lens assembly  60 , designed according to the sixth embodiment, is capable of effectively correcting various aberrations. 
     The Seventh Embodiment (Embodiment 7) 
       FIG. 7A  is a schematic structural view of the seventh embodiment of the photographing optical lens assembly. The specific implementation and elements of the seventh embodiment are substantially the same as those in the first embodiment. The element symbols in the seventh embodiment all begin with “7” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  70  is 587.6 nm, but the wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  710  with positive refractive power comprises a convex object-side surface  711 . A second lens element  720  has negative refractive power. A third lens element  730  with negative refractive power comprises a concave image-side surface  732 . A fourth lens element  740  with positive refractive power comprises a concave object-side surface  741  and a convex image-side surface  742 . A fifth lens element  750  with positive refractive power comprises a convex object-side surface  751 , a concave image-side surface  752 , and two inflection points  753 . A sixth lens element  760  with positive refractive power comprises a convex object-side surface  761 , a concave image-side surface  762 , and two inflection points  763 . An aperture stop  700  can be disposed between the first lens element  710  and the object-side of the optical axis (Left side of  FIG. 7A ). 
     The detailed data of the photographing optical lens assembly  70  is as shown in Table 7-1 below. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 7-1 
               
             
             
               
                   
               
               
                 Embodiment 7 
               
               
                 f = 4.68 mm, Fno = 3.00, HFOV = 31.1 deg. 
               
             
          
           
               
                   
                   
                 Curvature Radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface# 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. 
                 Plano 
                 0.100 
               
               
                 2 
                 Lens 1 
                 2.225820(ASP) 
                 0.604 
                 Plastic 
                 1.544 
                 55.9 
                 3.07 
               
               
                 3 
                   
                 −6.077200(ASP) 
                 0.100 
               
               
                 4 
                 Lens 2 
                 −6.113100(ASP) 
                 0.300 
                 Plastic 
                 1.583 
                 30.2 
                 −22.90 
               
               
                 5 
                   
                 −11.473000(ASP) 
                 0.120 
               
               
                 6 
                 Lens 3 
                 −15.098400(ASP) 
                 0.514 
                 Plastic 
                 1.614 
                 25.6 
                 −5.92 
               
               
                 7 
                   
                 4.854000(ASP) 
                 0.830 
               
               
                 8 
                 Lens 4 
                 −3.152800(ASP) 
                 0.653 
                 Plastic 
                 1.530 
                 55.8 
                 43.54 
               
               
                 9 
                   
                 −2.972800(ASP) 
                 0.070 
               
               
                 10 
                 Lens 5 
                 1.769450(ASP) 
                 0.760 
                 Plastic 
                 1.530 
                 55.8 
                 103.37 
               
               
                 11 
                   
                 1.556470(ASP) 
                 0.150 
               
               
                 12 
                 Lens 6 
                 1.885080(ASP) 
                 0.398 
                 Plastic 
                 1.544 
                 55.9 
                 120.22 
               
               
                 13 
                   
                 1.796600(ASP) 
                 0.700 
               
               
                 14 
                 IR-filter 
                 Plano 
                 0.400 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.303 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm 
               
             
          
         
       
     
     In Table 7-1, from the first lens element  710  to the sixth lens element  760 , all lens elements can be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 7-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 3 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −5.83973E−01 
                 −2.98477E+01 
                 −4.71281E+01 
                 −2.03759E+01 
               
               
                 A 4   
                 −4.14624E−03 
                 −1.70915E−02 
                 −5.19255E−03 
                 −6.53804E−04 
               
               
                 A 6   
                 −3.54169E−03 
                 −3.32882E−02 
                 −2.46471E−02 
                 −2.06015E−03 
               
               
                 A 8   
                 −1.95943E−02 
                 −1.34697E−02 
                 −1.55784E−03 
                 −3.34624E−03 
               
               
                 A 10   
                 −1.24628E−03 
                  1.10383E−02 
                  1.90500E−02 
                 −4.31693E−03 
               
               
                 A 12   
                 — 
                 — 
                 −2.92656E−03 
                 — 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                  9.20000E+01 
                 2.48916E+00 
                 −3.70959E+01 
                  2.35999E−01 
               
               
                 A 4   
                 −3.89573E−03 
                 2.89390E−02 
                  3.24609E−02 
                 −1.38094E−02 
               
               
                 A 6   
                  7.30086E−04 
                 −3.42085E−02  
                 −4.24020E−02 
                  2.17481E−02 
               
               
                 A 8   
                 −1.11769E−03 
                 3.77118E−02 
                  1.92455E−02 
                 −4.02650E−03 
               
               
                 A 10   
                 −2.82471E−03 
                 −1.88636E−02  
                 −4.53275E−03 
                 −4.99926E−04 
               
               
                 A 12   
                 — 
                 4.80075E−03 
                 −2.24030E−04 
                  1.32531E−04 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −1.00066E+01 
                 −2.68667E+01 
                 −4.45133E+01  
                 −4.77362E+00 
               
               
                 A 4   
                 −6.13008E−02 
                 −2.62884E−02 
                 −1.34330E−02  
                 −2.61490E−02 
               
               
                 A 6   
                  1.75182E−02 
                  7.49911E−03 
                 1.04975E−03 
                  2.69538E−03 
               
               
                 A 8   
                 −5.06676E−04 
                 −1.81117E−03 
                 1.85372E−05 
                 −9.63136E−06 
               
               
                 A 10   
                 −8.74977E−04 
                  1.27930E−04 
                 6.27454E−06 
                 −7.02519E−06 
               
               
                 A 12   
                  1.18803E−04 
                 −4.19196E−06 
                 1.14756E−06 
                  4.11247E−07 
               
               
                 A 14   
                 −2.30728E−06 
                 — 
                 −2.61808E−07  
                 −8.37336E−08 
               
               
                   
               
             
          
         
       
     
     The content of Table 7-3 may be deduced from Table 7-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 7-3 
               
               
                   
               
               
                 Embodiment 7 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.68 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 0.029 
               
               
                   
                 Fno 
                 3.00 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.064 
               
               
                   
                 HFOV(deg.) 
                 31.1 
                 f/f 1   
                 1.52 
               
               
                   
                 V 1  − V 2   
                 25.7 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 0.19 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.17 
                 SD/TD 
                 1.02 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.23 
                 BFL/TTL 
                 0.22 
               
               
                   
                 R 12 /f 
                 0.38 
                 TTL/ImgH 
                 2.02 
               
               
                   
               
             
          
         
       
     
       FIG. 7B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  70 . It can be observed from  FIG. 7B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  70  are within a range of −0.025 mm to 0.010 mm. 
       FIG. 7C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  70 . It can be observed from  FIG. 7C  that the astigmatic field curvature of the tangential plane is within a range of −0.025 mm to 0.020 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.025 mm to 0.015 mm. 
       FIG. 7D  is a schematic view of a distortion curve of the photographing optical lens assembly  70 . It can be observed from  FIG. 7D  that the distortion ratio is within a range of 0.0% to 1.5%. As shown in  FIGS. 7B to 7D , the photographing optical lens assembly  70 , designed according to the seventh embodiment, is capable of effectively correcting various aberrations. 
     The Eighth Embodiment (Embodiment 8) 
       FIG. 8A  is a schematic structural view of the eighth embodiment of the photographing optical lens assembly. The specific implementation and elements of the eighth embodiment are substantially the same as those in the first embodiment. The element symbols in the eighth embodiment all begin with “8” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  80  is 587.6 nm, but the wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  810  with positive refractive power comprises a convex object-side surface  811 . A second lens element  820  has negative refractive power. A third lens element  830  with negative refractive power comprises a concave image-side surface  832 . A fourth lens element  840  with positive refractive power comprises a concave object-side surface  841  and a convex image-side surface  842 . A fifth lens element  850  with positive refractive power comprises a convex object-side surface  851 , a concave image-side surface  852 , and two inflection points  853 . A sixth lens element  860  with negative refractive power comprises a convex object-side surface  861 , a concave image-side surface  862 , and two inflection points  863 . An aperture stop  800  can be disposed between the first lens element  810  and the object-side of the optical axis (Left side of  FIG. 8A ). 
     The detailed data of the photographing optical lens assembly  80  is as shown in Table 8-1 below. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 8-1 
               
             
             
               
                   
               
               
                 Embodiment 8 
               
               
                 f = 4.63 mm, Fno = 2.60, HFOV = 31.4 deg. 
               
             
          
           
               
                   
                   
                 Curvature Radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface# 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Ape. 
                 Plano 
                 0.100 
               
               
                 2 
                 Lens 1 
                 2.413420(ASP) 
                 0.712 
                 Glass 
                 1.517 
                 64.2 
                 3.35 
               
               
                 3 
                   
                 −5.521300(ASP) 
                 0.123 
               
               
                 4 
                 Lens 2 
                 −6.705100(ASP) 
                 0.300 
                 Plastic 
                 1.583 
                 30.2 
                 −10.50 
               
               
                 5 
                   
                 72.067600(ASP) 
                 0.372 
               
               
                 6 
                 Lens 3 
                 −19.230800(ASP) 
                 0.300 
                 Plastic 
                 1.614 
                 25.6 
                 −13.77 
               
               
                 7 
                   
                 15.190200(ASP) 
                 0.735 
               
               
                 8 
                 Lens 4 
                 −3.177700(ASP) 
                 0.649 
                 Plastic 
                 1.530 
                 55.8 
                 27.47 
               
               
                 9 
                   
                 −2.792840(ASP) 
                 0.070 
               
               
                 10 
                 Lens 5 
                 1.761540(ASP) 
                 0.669 
                 Plastic 
                 1.530 
                 55.8 
                 10.71 
               
               
                 11 
                   
                 2.218620(ASP) 
                 0.150 
               
               
                 12 
                 Lens 6 
                 2.766520(ASP) 
                 0.420 
                 Plastic 
                 1.544 
                 55.9 
                 −7.51 
               
               
                 13 
                   
                 1.561140(ASP) 
                 0.700 
               
               
                 14 
                 IR-filter 
                 Plano 
                 0.400 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.304 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm 
               
             
          
         
       
     
     In Table 8-1, from the first lens element  810  to the sixth lens element  860 , all lens elements can be aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 8-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 8-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 2 
                 3 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −6.53053E−01 
                 −1.74924E+01 
                 −2.82346E+01 
                 −7.70000E+01 
               
               
                 A 4   
                 −5.08112E−03 
                 −2.16452E−02 
                 −5.92365E−03 
                 −5.68810E−04 
               
               
                 A 6   
                 −6.49710E−03 
                 −2.96536E−02 
                 −2.62580E−02 
                 −5.40988E−03 
               
               
                 A 8   
                 −8.77555E−03 
                 −5.28819E−03 
                 −8.95736E−03 
                 −1.16380E−03 
               
               
                 A 10   
                 −3.55531E−03 
                  3.31555E−03 
                  1.89195E−02 
                 −3.62862E−03 
               
               
                 A 12   
                 — 
                 — 
                 −5.02605E−03 
                 — 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                 −2.26614E+00 
                 −2.09500E+00 
                 −5.27329E+01 
                  4.01796E−01 
               
               
                 A 4   
                 −3.90888E−03 
                  2.90111E−02 
                  2.53046E−02 
                 −1.48295E−02 
               
               
                 A 6   
                  6.08392E−03 
                 −3.70138E−02 
                 −4.12241E−02 
                  1.96023E−02 
               
               
                 A 8   
                  6.46792E−04 
                  3.70935E−02 
                  1.79116E−02 
                 −3.93335E−03 
               
               
                 A 10   
                 −2.87004E−03 
                 −1.79563E−02 
                 −4.91104E−03 
                 −3.37609E−04 
               
               
                 A 12   
                 — 
                  3.82634E−03 
                  8.39015E−05 
                  1.69969E−04 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −1.11632E+01 
                 −7.23176E+01 
                 −1.59273E+02  
                 −4.85171E+00 
               
               
                 A 4   
                 −6.78877E−02 
                 −1.67870E−02 
                 −1.74539E−02  
                 −3.08432E−02 
               
               
                 A 6   
                  1.85545E−02 
                  5.16060E−03 
                 1.80914E−03 
                  3.86432E−03 
               
               
                 A 8   
                 −8.30713E−04 
                 −1.85847E−03 
                 4.36023E−05 
                 −1.88848E−04 
               
               
                 A 10   
                 −9.31168E−04 
                  1.43935E−04 
                 8.57367E−06 
                 −1.45262E−06 
               
               
                 A 12   
                  1.23587E−04 
                  5.73756E−07 
                 2.13791E−07 
                  1.05762E−06 
               
               
                 A 14   
                  4.57693E−07 
                 — 
                 −3.75526E−07  
                 −1.46229E−07 
               
               
                   
               
             
          
         
       
     
     The content of Table 8-3 may be deduced from Table 8-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 8-3 
               
               
                   
               
               
                 Embodiment 8 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.63 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 0.064 
               
               
                   
                 Fno 
                 2.60 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 −0.115 
               
               
                   
                 HFOV(deg.) 
                 31.4 
                 f/f 1   
                 1.38 
               
               
                   
                 V 1  − V 2   
                 34.0 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 1.22 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.13 
                 SD/TD 
                 1.02 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 0.60 
                 BFL/TTL 
                 0.22 
               
               
                   
                 R 12 /f 
                 0.34 
                 TTL/ImgH 
                 2.02 
               
               
                   
               
             
          
         
       
     
       FIG. 8B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  80 . It can be observed from  FIG. 8B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  80  are within a range of −0.025 mm to 0.010 mm. 
       FIG. 8C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  80 . It can be observed from  FIG. 8C  that the astigmatic field curvature of the tangential plane is within a range of −0.030 mm to 0.025 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.030 mm to 0.020 mm. 
       FIG. 8D  is a schematic view of a distortion curve of the photographing optical lens assembly  80 . It can be observed from  FIG. 8D  that the distortion ratio is within a range of 0.0% to 2.0%. As shown in  FIGS. 8B to 8D , the photographing optical lens assembly  80 , designed according to the eighth embodiment, is capable of effectively correcting various aberrations. 
     The Ninth Embodiment (Embodiment 9) 
       FIG. 9A  is a schematic structural view of the ninth embodiment of the photographing optical lens assembly. The specific implementation and elements of the ninth embodiment are substantially the same as those in the first embodiment. The element symbols in the ninth embodiment all begin with “9” which correspond to those in the first embodiment with the same function or structure. For conciseness, only the differences are illustrated below, and the similarities will not be repeated herein. 
     In this embodiment, for example, the wavelength of the light received by the photographing optical lens assembly  90  is 587.6 nm, but the wavelength may be adjusted according to actual requirements, and is not limited to the wavelength value mentioned above. 
     In this embodiment, a first lens element  910  with positive refractive power comprises a convex object-side surface  911 . A second lens element  920  has negative refractive power. A third lens element  930  with negative refractive power comprises a concave image-side surface  932 . A fourth lens element  940  with positive refractive power comprises a concave object-side surface  941  and a convex image-side surface  942 . A fifth lens element  950  with negative refractive power comprises a convex object-side surface  951 , a concave image-side surface  952 , and two inflection points  953 . A sixth lens element  960  with negative refractive power comprises a convex object-side surface  961 , a concave image-side surface  962 , and two inflection points  963 . An aperture stop  900  can be disposed between the first lens element  910  and the second lens element  920 . 
     The detailed data of the photographing optical lens assembly  90  is as shown in Table 9-1 below. 
     
       
         
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 9-1 
               
             
             
               
                   
               
               
                 Embodiment 9 
               
               
                 f = 4.98 mm, Fno = 3.20, HFOV = 32.8 deg. 
               
             
          
           
               
                   
                   
                 Curvature Radius 
                 Thickness 
                   
                   
                   
                   
               
               
                 Surface# 
                 Member 
                 (mm) 
                 (mm) 
                 Material 
                 Index 
                 Abbe # 
                 Focal length 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 Plano 
                 Infinity 
                   
                   
                   
                   
               
               
                 1 
                 Lens 1 
                 2.194430(ASP) 
                 0.753 
                 Plastic 
                 1.544 
                 55.9 
                 3.22 
               
               
                 2 
                   
                 −7.616400(ASP) 
                 0.050 
               
               
                 3 
                 Ape. 
                 Plano 
                 0.110 
               
               
                 4 
                 Lens 2 
                 −26.096800(ASP) 
                 0.321 
                 Plastic 
                 1.614 
                 25.6 
                 −6.29 
               
               
                 5 
                   
                 4.556600(ASP) 
                 0.651 
               
               
                 6 
                 Lens 3 
                 −2.862130(ASP) 
                 0.300 
                 Plastic 
                 1.614 
                 25.6 
                 −23.61 
               
               
                 7 
                   
                 −3.708100(ASP) 
                 0.278 
               
               
                 8 
                 Lens 4 
                 −3.547700(ASP) 
                 0.787 
                 Plastic 
                 1.583 
                 30.2 
                 3.39 
               
               
                 9 
                   
                 −1.374130(ASP) 
                 0.050 
               
               
                 10 
                 Lens 5 
                 2.175410(ASP) 
                 0.378 
                 Plastic 
                 1.632 
                 23.4 
                 −4.78 
               
               
                 11 
                   
                 1.179760(ASP) 
                 0.846 
               
               
                 12 
                 Lens 6 
                 36.192500(ASP) 
                 0.555 
                 Plastic 
                 1.632 
                 23.4 
                 −9.94 
               
               
                 13 
                   
                 5.323000(ASP) 
                 0.500 
               
               
                 14 
                 IR-filter 
                 Plano 
                 0.300 
                 Glass 
                 1.517 
                 64.2 
                 — 
               
               
                 15 
                   
                 Plano 
                 0.251 
               
               
                 16 
                 Image 
                 Plano 
                 — 
               
               
                   
               
               
                 Note: 
               
               
                 Reference wavelength is d-line 587.6 nm 
               
             
          
         
       
     
     In Table 9-1, from the first lens element  910  to the sixth lens element  960 , all lens elements are aspheric, and the aspheric surfaces can satisfy Condition ASP, but are not limited thereto. As for the parameters of the aspheric surfaces, reference is made to Table 9-2 below. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 9-2 
               
               
                   
               
               
                 Aspheric Coefficients 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface# 
                 1 
                 2 
                 4 
                 5 
               
               
                   
               
               
                 K 
                 −7.56384E−01 
                 −4.58833E+01 
                 −1.00000E+02 
                 −1.31337E+01  
               
               
                 A 4   
                 −5.26461E−03 
                 −4.82011E−02 
                  2.71727E−03 
                 4.98945E−02 
               
               
                 A 6   
                 −2.20417E−02 
                 −3.45321E−02 
                 −2.17170E−02 
                 −3.34814E−03  
               
               
                 A 8   
                  1.24804E−02 
                  1.28580E−02 
                  2.95137E−02 
                 4.92489E−03 
               
               
                 A 10   
                 −2.21777E−02 
                 −3.06938E−03 
                  1.31657E−03 
                 1.00627E−02 
               
               
                 A 12   
                 — 
                 −3.25773E−04 
                 −9.63819E−04 
                 4.14908E−04 
               
               
                   
               
               
                 Surface# 
                 6 
                 7 
                 8 
                 9 
               
               
                   
               
               
                 K 
                 −6.82619E+00 
                 9.64543E−02 
                  1.20215E−02 
                 −2.24868E+00 
               
               
                 A 4   
                 −5.91562E−02 
                 −2.85195E−04  
                  1.79641E−04 
                 −2.18579E−02 
               
               
                 A 6   
                 −4.10717E−03 
                 1.64971E−04 
                 −7.43378E−04 
                 −2.05121E−03 
               
               
                 A 8   
                  3.03064E−03 
                 1.61449E−05 
                 −4.50620E−04 
                 −5.66288E−04 
               
               
                 A 10   
                 −3.03480E−03 
                 −1.74200E−04  
                 −1.84981E−05 
                  4.08493E−04 
               
               
                 A 12   
                  4.13012E−04 
                 — 
                 — 
                  5.64212E−05 
               
               
                   
               
               
                 Surface# 
                 10 
                 11 
                 12 
                 13 
               
               
                   
               
               
                 K 
                 −1.41219E+01 
                 −4.73865E+00 
                 −1.00000E+00 
                 1.49423E+00 
               
               
                 A 4   
                 −4.91395E−02 
                 −3.67593E−02 
                 −4.59986E−03 
                 −3.19344E−02  
               
               
                 A 6   
                  3.65022E−03 
                  6.12007E−03 
                  9.37229E−04 
                 2.51865E−03 
               
               
                 A 8   
                  4.63033E−04 
                 −5.94934E−04 
                 −7.38096E−06 
                 7.15866E−05 
               
               
                 A 10   
                 −6.10779E−05 
                  8.96944E−06 
                 −1.21675E−05 
                 −2.06759E−05  
               
               
                 A 12   
                  5.74835E−06 
                  2.47353E−06 
                 — 
                 −4.87548E−07  
               
               
                 A 14   
                 — 
                 — 
                 — 
                 5.96384E−08 
               
               
                   
               
             
          
         
       
     
     The content of Table 9-3 may be deduced from Table 9-1. 
     
       
         
               
             
               
               
               
               
               
             
           
               
                 TABLE 9-3 
               
               
                   
               
               
                 Embodiment 9 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 f(mm) 
                 4.98 
                 (R 7  − R 8 )/(R 7  + R 8 ) 
                 0.442 
               
               
                   
                 Fno 
                 3.20 
                 (R 9  − R 10 )/(R 9  + R 10 ) 
                 0.297 
               
               
                   
                 HFOV(deg.) 
                 32.8 
                 f/f 1   
                 1.55 
               
               
                   
                 V 1  − V 2   
                 30.3 
                 |f/f 4 | + |f/f 5 | + |f/f 6 | 
                 3.01 
               
               
                   
                 (CT 2  + CT 3 )/f 
                 0.12 
                 SD/TD 
                 0.84 
               
               
                   
                 (T 23  + T 45 )/T 34   
                 2.52 
                 BFL/TTL 
                 0.16 
               
               
                   
                 R 12 /f 
                 1.07 
                 TTL/ImgH 
                 1.77 
               
               
                   
               
             
          
         
       
     
       FIG. 9B  is a schematic view of longitudinal spherical aberration curves of the photographing optical lens assembly  90 . It can be observed from  FIG. 9B  that the longitudinal spherical aberrations generated by the photographing optical lens assembly  90  are within a range of −0.025 mm to 0.035 mm. 
       FIG. 9C  is a schematic view of astigmatic field curves of the photographing optical lens assembly  90 . It can be observed from  FIG. 9C  that the astigmatic field curvature of the tangential plane is within a range of −0.015 mm to 0.100 mm, and the astigmatic field curvature of the sagittal plane is within a range of −0.025 mm to 0.015 mm. 
       FIG. 9D  is a schematic view of a distortion curve of the photographing optical lens assembly  90 . It can be observed from  FIG. 9D  that the distortion ratio is within a range of 0.0% to 6.0%. As shown in  FIGS. 9B to 9D , the photographing optical lens assembly  90 , designed according to the ninth embodiment, is capable of effectively correcting various aberrations.