Patent Publication Number: US-2023137588-A1

Title: Optical imaging lens

Description:
BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention generally relates to an optical imaging lens. Specifically speaking, the present invention is directed to an optical imaging lens for use in such as a mobile phone, a camera, a tablet personal computer, or a personal digital assistant (PDA) and for taking pictures or for recording videos. 
     2. Description of the Prior Art 
     The specifications of portable electronic devices are changing, and their key components-optical imaging lenses are also developing more diversely. The front lens of a portable electronic device not only pursues the design of a larger field of view, but also pursues the mutual matching with the touch screen of the portable electronic device. 
     As the touch screen of a portable electronic device is designed to be a full screen, the front surface area of the front lens must be reduced to be assembled into the opening of the touch screen. In addition, the reduction of the surface area of the front lens will also reduce the structural strength of the lens. Therefore, it is a problem to be solved how to reduce the surface area of the front lens while maintaining the half angle of view and the structural strength. 
     SUMMARY OF THE INVENTION 
     In the light of the above, various embodiments of the present invention propose an optical imaging lens of five lens elements which has a reduced surface area of the front lens of the optical imaging lens, maintains the structural strength of the lens, a larger field of view, has ensured imaging quality, has good optical performance and is technically possible. The optical imaging lens of five lens elements of the present invention from an object side to an image side in order along an optical axis has a first lens element, a second lens element, a third lens element, a fourth lens element and a fifth lens element. Each of the first lens element, the second lens element, the third lens element, the fourth lens element and the fifth lens element respectively has an object-side surface which faces toward the object side and allows imaging rays to pass through as well as an image-side surface which faces toward the image side and allows the imaging rays to pass through. 
     In one embodiment, an optical axis region of the object-side surface of the second lens element is concave, the third lens element has negative refracting power and an optical axis region of the image-side surface of the third lens element is convex, an optical axis region of the object-side surface of the fourth lens element is convex and a periphery region of the object-side surface of the fifth lens element is convex. Lens elements included by the optical imaging lens are only the five lens elements described above to satisfy the relationship: TTL/T1≤5.600. 
     In another embodiment, a periphery region of the object-side surface of the second lens element is concave and an optical axis region of the image-side surface of the second lens element is convex, an optical axis region of the object-side surface of the third lens element is concave, the fourth lens element has positive refracting power, and a periphery region of the object-side surface of the fifth lens element is convex. Lens elements included by the optical imaging lens are only the five lens elements described above to satisfy the relationship: TTL/T1≤5.600. 
     In another embodiment, an optical axis region of the image-side surface of the first lens element is convex, an optical axis region of the image-side surface of the second lens element is convex and a periphery region of the image-side surface of the second lens element is concave, an optical axis region of the object-side surface of the third lens element is concave, and the fourth lens element has positive refracting power. Lens elements included by the optical imaging lens are only the five lens elements described above to satisfy the relationship: T1/AAG≥0.950. 
     In the optical imaging lens of the present invention, the embodiments may also selectively satisfy the following numerical conditions:
     4.000≤(T1+ImgH)/AAG;   TTL/(T1+T5)≤3.500;   TTL/(T1+T4+T5)≤2.700;   (G23+G34+T4+G45+BFL)/(T1+G12)≤2.300;   5.450≤TTL/(G34+T4);   94.500 degrees/mm≤HFOV/(T2+G23);   51.500 degrees/mm≤HFOV/(G34+T4);   (T1+T2+G34+T4)/(G12+G23+T3)≤2.900;   Fno*(G23+G34+T4+T5)/(G12+T2+T3+G45)≤3.500;   (TL+T4)*Fno/(T1+T2+T3)≤6.400;   (TL+T4)/BFL≤4.300;   36.500 degrees/mm≤HFOV/(T4+T5);   (T4+T5) / (T2+T3) ≤2. 600;   (T2+T4)/T3≤3.000;   33.000 degrees/mm≤HFOV/(G34+T4+T5);   (T2+G23+G34+T4+G45+T5)/(T1+G12)≤2.300;   (T2+G34+T4)/(G12+G23)≤2.800.   

     In order to facilitate clearness of the parameters represented by the present invention and the drawings, it is defined in this specification and the drawings: T1 is a thickness of the first lens element along the optical axis; T2 is a thickness of the second lens element along the optical axis; T3 is a thickness of the third lens element along the optical axis; T4 is a thickness of the fourth lens element along the optical axis; T5 is a thickness of the fifth lens element along the optical axis; ALT is a sum of thicknesses of all the five lens elements along the optical axis. G12 is an air gap between the first lens element and the second lens element along the optical axis; G23 is an air gap between the second lens element and the third lens element along the optical axis; G34 is an air gap between the third lens element and the fourth lens element along the optical axis; G45 is an air gap between the fourth lens element and the fifth lens element along the optical axis; AAG is a sum of four air gaps from the first lens element to the fifth lens element along the optical axis. 
     In addition, TL is a distance from the object-side surface of the first lens element to an image-side surface of the fifth lens element along the optical axis; TTL is a distance from the object-side surface of the first lens element to an image plane along the optical axis, and that is the system length of the optical imaging lens; BFL is a distance from the image-side surface of the fifth lens element to the image plane along the optical axis. EFL is an effective focal length of the optical imaging lens; HFOV stands for the half field of view of the optical imaging lens. ImgH is an image height of the optical imaging lens. Fno is the f-number of the optical imaging lens. 
     These and other objectives of the present invention will no doubt become obvious to those of ordinary skill in the art after reading the following detailed description of the preferred embodiment that is illustrated in the various figures and drawings. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIGS.  1 - 5    illustrate the methods for determining the surface shapes and for determining optical axis region or periphery region of one lens element. 
         FIG.  6    illustrates a first embodiment of the optical imaging lens of the present invention. 
         FIG.  7 A  illustrates the longitudinal spherical aberration on the image plane of the first embodiment. 
         FIG.  7 B  illustrates the field curvature aberration on the sagittal direction of the first embodiment. 
         FIG.  7 C  illustrates the field curvature aberration on the tangential direction of the first embodiment. 
         FIG.  7 D  illustrates the distortion of the first embodiment. 
         FIG.  8    illustrates a second embodiment of the optical imaging lens of the present invention. 
         FIG.  9 A  illustrates the longitudinal spherical aberration on the image plane of the second embodiment. 
         FIG.  9 B  illustrates the field curvature aberration on the sagittal direction of the second embodiment. 
         FIG.  9 C  illustrates the field curvature aberration on the tangential direction of the second embodiment. 
         FIG.  9 D  illustrates the distortion of the second embodiment. 
         FIG.  10    illustrates a third embodiment of the optical imaging lens of the present invention. 
         FIG.  11 A  illustrates the longitudinal spherical aberration on the image plane of the third embodiment. 
         FIG.  11 B  illustrates the field curvature aberration on the sagittal direction of the third embodiment. 
         FIG.  11 C  illustrates the field curvature aberration on the tangential direction of the third embodiment. 
         FIG.  11 D  illustrates the distortion of the third embodiment. 
         FIG.  12    illustrates a fourth embodiment of the optical imaging lens of the present invention. 
         FIG.  13 A  illustrates the longitudinal spherical aberration on the image plane of the fourth embodiment. 
         FIG.  13 B  illustrates the field curvature aberration on the sagittal direction of the fourth embodiment. 
         FIG.  13 C  illustrates the field curvature aberration on the tangential direction of the fourth embodiment. 
         FIG.  13 D  illustrates the distortion of the fourth embodiment. 
         FIG.  14    illustrates a fifth embodiment of the optical imaging lens of the present invention. 
         FIG.  15 A  illustrates the longitudinal spherical aberration on the image plane of the fifth embodiment. 
         FIG.  15 B  illustrates the field curvature aberration on the sagittal direction of the fifth embodiment. 
         FIG.  15 C  illustrates the field curvature aberration on the tangential direction of the fifth embodiment. 
         FIG.  15 D  illustrates the distortion of the fifth embodiment. 
         FIG.  16    illustrates a sixth embodiment of the optical imaging lens of the present invention. 
         FIG.  17 A  illustrates the longitudinal spherical aberration on the image plane of the sixth embodiment. 
         FIG.  17 B  illustrates the field curvature aberration on the sagittal direction of the sixth embodiment. 
         FIG.  17 C  illustrates the field curvature aberration on the tangential direction of the sixth embodiment. 
         FIG.  17 D  illustrates the distortion of the sixth embodiment. 
         FIG.  18    illustrates a seventh embodiment of the optical imaging lens of the present invention. 
         FIG.  19 A  illustrates the longitudinal spherical aberration on the image plane of the seventh embodiment. 
         FIG.  19 B  illustrates the field curvature aberration on the sagittal direction of the seventh embodiment. 
         FIG.  19 C  illustrates the field curvature aberration on the tangential direction of the seventh embodiment. 
         FIG.  19 D  illustrates the distortion of the seventh embodiment. 
         FIG.  20    illustrates an eighth embodiment of the optical imaging lens of the present invention. 
         FIG.  21 A  illustrates the longitudinal spherical aberration on the image plane of the eighth embodiment. 
         FIG.  21 B  illustrates the field curvature aberration on the sagittal direction of the eighth embodiment. 
         FIG.  21 C  illustrates the field curvature aberration on the tangential direction of the eighth embodiment. 
         FIG.  21 D  illustrates the distortion of the eighth embodiment. 
         FIG.  22    illustrates a ninth embodiment of the optical imaging lens of the present invention. 
         FIG.  23 A  illustrates the longitudinal spherical aberration on the image plane of the ninth embodiment. 
         FIG.  23 B  illustrates the field curvature aberration on the sagittal direction of the ninth embodiment. 
         FIG.  23 C  illustrates the field curvature aberration on the tangential direction of the ninth embodiment. 
         FIG.  23 D  illustrates the distortion of the ninth embodiment. 
         FIG.  24    shows the optical data of the first embodiment of the optical imaging lens. 
         FIG.  25    shows the aspheric surface data of the first embodiment. 
         FIG.  26    shows the optical data of the second embodiment of the optical imaging lens. 
         FIG.  27    shows the aspheric surface data of the second embodiment. 
         FIG.  28    shows the optical data of the third embodiment of the optical imaging lens. 
         FIG.  29    shows the aspheric surface data of the third embodiment. 
         FIG.  30    shows the optical data of the fourth embodiment of the optical imaging lens. 
         FIG.  31    shows the aspheric surface data of the fourth embodiment. 
         FIG.  32    shows the optical data of the fifth embodiment of the optical imaging lens. 
         FIG.  33    shows the aspheric surface data of the fifth embodiment. 
         FIG.  34    shows the optical data of the sixth embodiment of the optical imaging lens. 
         FIG.  35    shows the aspheric surface data of the sixth embodiment. 
         FIG.  36    shows the optical data of the seventh embodiment of the optical imaging lens. 
         FIG.  37    shows the aspheric surface data of the seventh embodiment. 
         FIG.  38    shows the optical data of the eighth embodiment of the optical imaging lens. 
         FIG.  39    shows the aspheric surface data of the eighth embodiment. 
         FIG.  40    shows the optical data of the ninth embodiment of the optical imaging lens. 
         FIG.  41    shows the aspheric surface data of the ninth embodiment. 
         FIG.  42    shows some important ratios in each embodiment. 
     
    
    
     DETAILED DESCRIPTION 
     The terms “optical axis region”, “periphery region”, “concave”, and “convex” used in this specification and claims should be interpreted based on the definition listed in the specification by the principle of lexicographer. 
     In the present disclosure, the optical system may comprise at least one lens element to receive imaging rays that are incident on the optical system over a set of angles ranging from parallel to an optical axis to a half field of view (HFOV) angle with respect to the optical axis. The imaging rays pass through the optical system to produce an image on an image plane. The term “a lens element having positive refracting power (or negative refracting power)” means that the paraxial refracting power of the lens element in Gaussian optics is positive (or negative). The term “an object-side (or image-side) surface of a lens element” refers to a specific region of that surface of the lens element at which imaging rays can pass through that specific region. Imaging rays include at least two types of rays: a chief ray Lc and a marginal ray Lm (as shown in  FIG.  1   ). An object-side (or image-side) surface of a lens element can be characterized as having several regions, including an optical axis region, a periphery region, and, in some cases, one or more intermediate regions, as discussed more fully below. 
       FIG.  1    is a radial cross-sectional view of a lens element  100 . Two referential points for the surfaces of the lens element  100  can be defined: a central point, and a transition point. The central point of a surface of a lens element is a point of intersection of that surface and the optical axis I. As illustrated in  FIG.  1   , a first central point CP1 may be present on the object-side surface  110  of lens element  100  and a second central point CP2 may be present on the image-side surface  120  of the lens element  100 . The transition point is a point on a surface of a lens element, at which the line tangent to that point is perpendicular to the optical axis I. The optical boundary OB of a surface of the lens element is defined as a point at which the radially outermost marginal ray Lm passing through the surface of the lens element intersects the surface of the lens element. All transition points lie between the optical axis I and the optical boundary OB of the surface of the lens element. A surface of the lens element  100  may have no transition point or have at least one transition point. If multiple transition points are present on a single surface, then these transition points are sequentially named along the radial direction of the surface with reference numerals starting from the first transition point. For example, the first transition point, e.g., TP1, (closest to the optical axis I), the second transition point, e.g., TP2, (as shown in  FIG.  4   ), and the Nth transition point (farthest from the optical axis I). 
     When a surface of the lens element has at least one transition point, the region of the surface of the lens element from the central point to the first transition point TP1 is defined as the optical axis region, which includes the central point. The region located radially outside of the farthest transition point (the Nth transition point) from the optical axis I to the optical boundary OB of the surface of the lens element is defined as the periphery region. In some embodiments, there may be intermediate regions present between the optical axis region and the periphery region, with the number of intermediate regions depending on the number of the transition points . When a surface of the lens element has no transition point, the optical axis region is defined as a region of 0%-50% of the distance between the optical axis I and the optical boundary OB of the surface of the lens element, and the periphery region is defined as a region of 50%-100% of the distance between the optical axis I and the optical boundary OB of the surface of the lens element. 
     The shape of a region is convex if a collimated ray being parallel to the optical axis I and passing through the region is bent toward the optical axis I such that the ray intersects the optical axis I on the image side A2 of the lens element. The shape of a region is concave if the extension line of a collimated ray being parallel to the optical axis I and passing through the region intersects the optical axis I on the object side A1 of the lens element. 
     Additionally, referring to  FIG.  1   , the lens element  100  may also have a mounting portion  130  extending radially outward from the optical boundary OB. The mounting portion  130  is typically used to physically secure the lens element to a corresponding element of the optical system (not shown). Imaging rays do not reach the mounting portion  130 . The structure and shape of the mounting portion  130  are only examples to explain the technologies, and should not be taken as limiting the scope of the present disclosure. The mounting portion  130  of the lens elements discussed below may be partially or completely omitted in the following drawings. 
     Referring to  FIG.  2   , optical axis region Z1 is defined between central point CP and first transition point TP1. Periphery region Z2 is defined between TP1 and the optical boundary OB of the surface of the lens element. Collimated ray  211  intersects the optical axis I on the image side A2 of lens element  200  after passing through optical axis region Z1, i.e., the focal point of collimated ray  211  after passing through optical axis region Z1 is on the image side A2 of the lens element  200  at point R in  FIG.  2   . Accordingly, since the ray itself intersects the optical axis I on the image side A2 of the lens element  200 , optical axis region Z1 is convex. On the contrary, collimated ray  212  diverges after passing through periphery region Z2. The extension line EL of collimated ray  212  after passing through periphery region Z2 intersects the optical axis I on the object side A1 of lens element  200 , i.e., the focal point of collimated ray  212  after passing through periphery region Z2 is on the object side A1 at point M in  FIG.  2   . Accordingly, since the extension line EL of the ray intersects the optical axis I on the object side A1 of the lens element  200 , periphery region Z2 is concave. In the lens element  200  illustrated in  FIG.  2   , the first transition point TP1 is the border of the optical axis region and the periphery region, i.e., TP1 is the point at which the shape changes from convex to concave. 
     Alternatively, there is another way for a person having ordinary skill in the art to determine whether an optical axis region is convex or concave by referring to the sign of “Radius of curvature” (the “R” value), which is the paraxial radius of shape of a lens surface in the optical axis region. The R value is commonly used in conventional optical design software such as Zemax and CodeV. The R value usually appears in the lens data sheet in the software. For an object-side surface, a positive R value defines that the optical axis region of the object-side surface is convex, and a negative R value defines that the optical axis region of the object-side surface is concave. Conversely, for an image-side surface, a positive R value defines that the optical axis region of the image-side surface is concave, and a negative R value defines that the optical axis region of the image-side surface is convex. The result found by using this method should be consistent with the method utilizing intersection of the optical axis by rays / extension lines mentioned above, which determines surface shape by referring to whether the focal point of a collimated ray being parallel to the optical axis I is on the object-side or the image-side of a lens element. As used herein, the terms “a shape of a region is convex (concave),” “a region is convex (concave),” and “a convex- (concave-) region,” can be used alternatively. 
       FIG.  3   ,  FIG.  4    and  FIG.  5    illustrate examples of determining the shape of lens element regions and the boundaries of regions under various circumstances, including the optical axis region, the periphery region, and intermediate regions as set forth in the present specification. 
       FIG.  3    is a radial cross-sectional view of a lens element  300 . As illustrated in  FIG.  3   , only one transition point TP1 appears within the optical boundary OB of the image-side surface  320  of the lens element  300 . Optical axis region Z1 and periphery region Z2 of the image-side surface  320  of lens element  300  are illustrated. The R value of the image-side surface  320  is positive (i.e., R&gt;0). Accordingly, the optical axis region Z1 is concave. 
     In general, the shape of each region demarcated by the transition point will have an opposite shape to the shape of the adjacent region(s). Accordingly, the transition point will define a transition in shape, changing from concave to convex at the transition point or changing from convex to concave. In  FIG.  3   , since the shape of the optical axis region Z1 is concave, the shape of the periphery region Z2 will be convex as the shape changes at the transition point TP1. 
       FIG.  4    is a radial cross-sectional view of a lens element  400 . Referring to  FIG.  4   , a first transition point TP1 and a second transition point TP2 are present on the object-side surface  410  of lens element  400 . The optical axis region Z1 of the object-side surface  410  is defined between the optical axis I and the first transition point TP1. The R value of the object-side surface  410  is positive (i.e., R&gt;0). Accordingly, the optical axis region Z1 is convex. 
     The periphery region Z2 of the object-side surface  410 , which is also convex, is defined between the second transition point TP2 and the optical boundary OB of the object-side surface  410  of the lens element  400 . Further, intermediate region Z3 of the object-side surface  410 , which is concave, is defined between the first transition point TP1 and the second transition point TP2. Referring once again to  FIG.  4   , the object-side surface  410  includes an optical axis region Z1 located between the optical axis I and the first transition point TP1, an intermediate region Z3 located between the first transition point TP1 and the second transition point TP2, and a periphery region Z2 located between the second transition point TP2 and the optical boundary OB of the object-side surface  410 . Since the shape of the optical axis region Z1 is designed to be convex, the shape of the intermediate region Z3 is concave as the shape of the intermediate region Z3 changes at the first transition point TP1, and the shape of the periphery region Z2 is convex as the shape of the periphery region Z2 changes at the second transition point TP2. 
       FIG.  5    is a radial cross-sectional view of a lens element  500 . Lens element  500  has no transition point on the object-side surface  510  of the lens element  500 . For a surface of a lens element with no transition point, for example, the object-side surface  510  the lens element  500 , the optical axis region Z1 is defined as the region of 0%-50% of the distance between the optical axis I and the optical boundary OB of the surface of the lens element and the periphery region is defined as the region of 50%-100% of the distance between the optical axis I and the optical boundary OB of the surface of the lens element. Referring to lens element  500  illustrated in  FIG.  5   , the optical axis region Z1 of the object-side surface  510  is defined between the optical axis I and 50% of the distance between the optical axis I and the optical boundary OB. The R value of the object-side surface  510  is positive (i.e., R&gt;0). Accordingly, the optical axis region Z1 is convex. For the object-side surface  510  of the lens element  500 , because there is no transition point, the periphery region Z2 of the object-side surface  510  is also convex. It should be noted that lens element  500  may have a mounting portion (not shown) extending radially outward from the periphery region Z2. 
     As shown in  FIG.  6   , the optical imaging lens 1 of five lens elements of the present invention, sequentially located from an object side A1 (where an object is located) to an image side A2 along an optical axis I, has an aperture stop  80 , a first lens element  10 , a second lens element  20 , a third lens element  30 , a fourth lens element  40 , a fifth lens element  50  and an image plane  91 . Generally speaking, the first lens element  10 , the second lens element  20 , the third lens element  30 , the fourth lens element  40  and the fifth lens element  50  may be made of a transparent plastic material but the present invention is not limited to this, and each lens element has an appropriate refracting power. In the present invention, lens elements having refracting power included by the optical imaging lens  1  are only the five lens elements (the first lens element  10 , the second lens element  20 , the third lens element  30 , the fourth lens element  40  and the fifth lens element  50 ) described above. The optical axis I is the optical axis of the entire optical imaging lens  1 , and the optical axis of each of the lens elements coincides with the optical axis of the optical imaging lens  1 . 
     Furthermore, the optical imaging lens  1  includes an aperture stop  80  disposed in an appropriate position. In  FIG.  6   , the aperture stop  80  is disposed between the object side A1 and the first lens element  10 , in other words at the side of the first lens element  10  facing the object side A1 . When imaging rays emitted or reflected by an object (not shown) which is located at the object side A1 enters the optical imaging lens  1  of the present invention, it forms a clear and sharp image on the image plane  91  at the image side A2 after passing through the aperture stop  80 , the first lens element  10 , the second lens element  20 , the third lens element  30 , the fourth lens element  40 , the fifth lens element  50  and the filter  90 . In one embodiment of the present invention, the filter  90  may be a filter of various suitable functions to filter out light of a specific wavelength, for example an infrared cut-off filter, and is placed between the fifth lens element  50  and the image plane  91 . 
     The first lens element  10 , the second lens element  20 , the third lens element  30 , the fourth lens element  40  and the fifth lens element  50  of the optical imaging lens  1  each has an object-side surface  11 ,  21 ,  31 ,  41  and  51  facing toward the object side A1 and allowing imaging rays to pass through as well as an image-side surface  12 ,  22 ,  32 ,  42  and  52  facing toward the image side A2 and allowing the imaging rays to pass through. Furthermore, each object-side surface and image-side surface of lens elements in the optical imaging lens  1  of present invention has an optical axis region and a periphery region. 
     Each lens element in the optical imaging lens  1  of the present invention further has a thickness T along the optical axis I. For embodiment, the first lens element  10  has a first lens element thickness T1, the second lens element  20  has a second lens element thickness T2, the third lens element  30  has a third lens element thickness T3, the fourth lens element  40  has a fourth lens element thickness T4 and the fifth lens element  50  has a fifth lens element thickness T5. Therefore, a sum of thicknesses of all the five lens elements in the optical imaging lens  1  along the optical axis I is ALT = T1 + T2 + T3 + T4 + T5. 
     In addition, between two adjacent lens elements in the optical imaging lens  1  of the present invention there may be an air gap along the optical axis I. In the embodiments, there is an air gap G12 between the first lens element  10  and the second lens element  20 , an air gap G23 between the second lens element  20  and the third lens element  30 , an air gap G34 between the third lens element  30  and the fourth lens element  40  and air gap G45 between the fourth lens element  40  and the fifth lens element  50 . Therefore, a sum of four air gaps from the first lens element  10  to the fifth lens element  50  along the optical axis I is AAG = G12 + G23 + G34 + G45. 
     In addition, a distance from the object-side surface  11  of the first lens element  10  to the image plane  91  along the optical axis I is TTL, namely a system length of the optical imaging lens  1 ; an effective focal length of the optical imaging lens is EFL; a distance from the object-side surface  11  of the first lens element  10  to the image-side surface  52  of the fifth lens element  50  along the optical axis I is TL. HFOV stands for the half field of view of the optical imaging lens  1 . ImgH is an image height of the optical imaging lens  1 . Fno is the f-number of the optical imaging lens  1 . 
     An air gap between the fifth lens element  50  and the filter  90  along the optical axis I is G5F when the filter  90  is placed between the fifth lens element  50  and the image plane  91 ; a thickness of the filter  90  along the optical axis I is TF; an air gap between the filter  90  and the image plane  91  along the optical axis I is GFP; and a distance from the image-side surface  52  of the fifth lens element  50  to the image plane  91  along the optical axis I, namely the back focal length is BFL. Therefore, BFL = G5F + TF + GFP. 
     Furthermore, a focal length of the first lens element  10  is f1; a focal length of the second lens element  20  is f2; a focal length of the third lens element  30  is f3; a focal length of the fourth lens element  40  is f4; a focal length of the fifth lens element  50  is f5;a refractive index of the first lens element  10  is n1; a refractive index of the second lens element  20  is n2; a refractive index of the third lens element  30  is n3; a refractive index of the fourth lens element  40  is n4; a refractive index of the fifth lens element  50   is n5; an Abbe number of the first lens element  10  is υ1; an Abbe number of the second lens element  20  is u2; an Abbe number of the third lens element  30  is u3; an Abbe number of the fourth lens element  40  is u4 and an Abbe number of the fifth lens element  50  is u5. 
     First Embodiment 
     Please refer to  FIG.  6    which illustrates the first embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  7 A  for the longitudinal spherical aberration on the image plane  91  of the first embodiment; please refer to  FIG.  7 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  7 C  for the field curvature aberration on the tangential direction; and please refer to  FIG.  7 D  for the distortion aberration. The Y axis of the spherical aberration in each embodiment is “field of view” for 1.0. The Y axis of the field curvature aberration and the distortion aberration in each embodiment stands for the “image height” (ImgH), which is 2.920 mm. 
     The optical imaging lens  1  of the first embodiment is mainly composed of five lens elements with refracting power, an aperture stop  80 , and an image plane  91 . The aperture stop  80  is provided at the side of the first lens element  10  facing the object side A1. 
     The first lens element  10  has positive refracting power. An optical axis region  13  and a periphery region  14  of the object-side surface  11  of the first lens element  10  are convex. An optical axis region  16  and a periphery region  17  of the image-side surface  12  of the first lens element  10  are convex. Besides, both the object-side surface  11  and the image-side surface  12  of the first lens element  10  are aspherical surfaces, but it is not limited thereto. 
     The second lens element  20  has positive refracting power. An optical axis region  23  and a periphery region  24  of the object-side surface  21  of the second lens element  20  are concave. An optical axis region  26  of the image-side surface  22  of the second lens element  20  is convex and a periphery region  27  of the image-side surface  22  of the second lens element  20  is concave. Besides, both the object-side surface  21  and the image-side surface  22  of the second lens element  20  are aspherical surfaces, but it is not limited thereto. 
     The third lens element  30  has negative refracting power. An optical axis region  33  and a periphery region  34  of the object-side surface  31  of the third lens element  30  are concave. An optical axis region  36  and a periphery region  37  of the image-side surface  32  of the third lens element  30  are convex. Besides, both the object-side surface  31  and the image-side surface  32  of the third lens element  30  are aspherical surfaces, but it is not limited thereto. 
     The fourth lens element  40  has positive refracting power. An optical axis region  43  of the object-side surface  41  of the fourth lens element  40  is convex and a periphery region  44  of the object-side surface  41  of the fourth lens element  40  is concave. An optical axis region  46  and a periphery region  47  of the image-side surface  42  of the fourth lens element  40  are convex. Besides, both the object-side surface  41  and the image-side surface  42  of the fourth lens element  40  are aspherical surfaces, but it is not limited thereto. 
     The fifth lens element  50  has positive refracting power. An optical axis region  53  of the object-side surface  51  of the fifth lens element  50  is concave and a periphery region  54  of the object-side surface  51  of the fifth lens element  50  is convex. An optical axis region  56  and a periphery region  57  of the image-side surface  52  of the fifth lens element  50  are convex. Besides, both the object-side surface  51  and the image-side surface  52  of the fifth lens element  50  are aspherical surfaces, but it is not limited thereto. 
     In the optical imaging lens element  1  from the first lens element  10  to the fifth lens element  50  of the present invention, there are  10  surfaces, such as the object-side surfaces  11 / 21 / 31 / 41 / 51  and the image-side surfaces  12 / 22 / 32 / 42 / 52  are aspherical, but it is not limited thereto. If a surface is aspherical, these aspheric coefficients are defined according to the following formula: 
     
       
         
           
             Z 
             
               Y 
             
             = 
             
               
                 
                   
                     
                       Y 
                       2 
                     
                   
                   R 
                 
               
               / 
               
                 
                   
                     1 
                     + 
                     
                       
                         1 
                         − 
                         
                           
                             1 
                             + 
                             K 
                           
                         
                         
                           
                             
                               Y 
                               2 
                             
                           
                           
                             
                               R 
                               2 
                             
                           
                         
                       
                     
                   
                 
                 + 
                 
                   
                     ∑ 
                     
                       i 
                       = 
                       1 
                     
                     n 
                   
                   
                     
                       a 
                       j 
                     
                     × 
                     
                       Y 
                       i 
                     
                   
                 
               
             
           
         
       
     
     In which:
     Y represents a vertical distance from a point on the aspherical surface to the optical axis I;   Z represents the depth of an aspherical surface (the perpendicular distance between the point of the aspherical surface at a distance Y from the optical axis I and the tangent plane of the vertex on the optical axis I of the aspherical surface);   R represents the curvature radius of the lens element surface;   K is a conic constant; and   ai is the aspheric coefficient of the i th  order.   

     The optical data of the first embodiment of the optical imaging lens  1  are shown in  FIG.  24    while the aspheric surface data are shown in  FIG.  25   . In the present embodiments of the optical imaging lens, the f-number of the entire optical imaging lens is Fno, EFL is the effective focal length, HFOV stands for the half field of view of the entire optical imaging lens, and the unit for the image height, the radius of curvature, the thickness and the focal length is in millimeters (mm). In this embodiment, EFL=2.620 mm; HFOV=41.021 degrees; TTL=3.871 mm; Fno=1.700; ImgH=2.920 mm. 
     Second Embodiment 
     Please refer to  FIG.  8    which illustrates the second embodiment of the optical imaging lens  1  of the present invention. It is noted that from the second embodiment to the following embodiments, in order to simplify the figures, only the components different from what the first embodiment has, and the basic lens elements will be labeled in figures. Other components that are the same as what the first embodiment has, such as a convex surface or a concave surface, are omitted in the following embodiments. Please refer to  FIG.  9 A  for the longitudinal spherical aberration on the image plane  91  of the second embodiment, please refer to  FIG.  9 B  for the field curvature aberration on the sagittal direction, please refer to  FIG.  9 C  for the field curvature aberration on the tangential direction, and please refer to  FIG.  9 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the second embodiment of the optical imaging lens are shown in  FIG.  26    while the aspheric surface data are shown in  FIG.  27   . In this embodiment, EFL=3.197 mm; HFOV=41.003 degrees; TTL=3.945 mm; Fno=1.700; ImgH=2.920 mm. In particular, 1) the longitudinal spherical aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 2) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 3) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Third Embodiment 
     Please refer to  FIG.  10    which illustrates the third embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  11 A  for the longitudinal spherical aberration on the image plane  91  of the third embodiment; please refer to  FIG.  11 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  11 C  for the field curvature aberration on the tangential direction; and please refer to  FIG.  11 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the third embodiment of the optical imaging lens are shown in  FIG.  28    while the aspheric surface data are shown in  FIG.  29   . In this embodiment, EFL=3.337 mm; HFOV=41.024 degrees; TTL=4.055 mm; Fno=1.700; ImgH=2.920 mm. In particular, 1) the HFOV of the optical imaging lens in this embodiment is larger than that of the optical imaging lens in the first embodiment, 2) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 3) the field curvature aberration on the tangential direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 4) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Fourth Embodiment 
     Please refer to  FIG.  12    which illustrates the fourth embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  13 A  for the longitudinal spherical aberration on the image plane  91  of the fourth embodiment; please refer to  FIG.  13 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  13 C  for the field curvature aberration on the tangential direction; and please refer to  FIG.  13 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the fourth embodiment of the optical imaging lens are shown in  FIG.  30    while the aspheric surface data are shown in  FIG.  31   . In this embodiment, EFL=3.183 mm; HFOV=39.095 degrees; TTL=3.798 mm; Fno=1.700; ImgH=2.734 mm. In particular, 1) the TTL of the optical imaging lens in this embodiment is shorter than that of the optical imaging lens in the first embodiment, 2) the longitudinal spherical aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 3) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 4) the field curvature aberration on the tangential direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 5) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Fifth Embodiment 
     Please refer to  FIG.  14    which illustrates the fifth embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  15 A  for the longitudinal spherical aberration on the image plane  91  of the fifth embodiment; please refer to  FIG.  15 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  15 C  for the field curvature aberration on the tangential direction, and please refer to  FIG.  15 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the fifth embodiment of the optical imaging lens are shown in  FIG.  32    while the aspheric surface data are shown in  FIG.  33   . In this embodiment, EFL=3.187 mm; HFOV=41.021 degrees; TTL=3.738 mm; Fno=1.700; ImgH=2.920 mm. In particular, 1) the TTL of the optical imaging lens in this embodiment is shorter than that of the optical imaging lens in the first embodiment, 2) the longitudinal spherical aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 3) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 4) the field curvature aberration on the tangential direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 5) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Sixth Embodiment 
     Please refer to  FIG.  16    which illustrates the sixth embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  17 A  for the longitudinal spherical aberration on the image plane  91  of the sixth embodiment; please refer to  FIG.  17 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  17 C  for the field curvature aberration on the tangential direction, and please refer to  FIG.  17 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the sixth embodiment of the optical imaging lens are shown in  FIG.  34    while the aspheric surface data are shown in  FIG.  35   . In this embodiment, EFL=3.257 mm; HFOV=41.013 degrees; TTL=4.279 mm; Fno=1.700; ImgH=2.920 mm. In particular, 1) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 2) the field curvature aberration on the tangential direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 3) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Seventh Embodiment 
     Please refer to  FIG.  18    which illustrates the seventh embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  19 A  for the longitudinal spherical aberration on the image plane  91  of the seventh embodiment; please refer to  FIG.  19 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  19 C  for the field curvature aberration on the tangential direction, and please refer to  FIG.  19 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the seventh embodiment of the optical imaging lens are shown in  FIG.  36    while the aspheric surface data are shown in  FIG.  37   . In this embodiment, EFL=3.477 mm; HFOV=38.624 degrees; TTL=4.124 mm; Fno=1.700; ImgH=2.920 mm. In particular, 1) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 2) the field curvature aberration on the tangential direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 3) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Eighth Embodiment 
     Please refer to  FIG.  20    which illustrates the eighth embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  21 A  for the longitudinal spherical aberration on the image plane  91  of the eighth embodiment; please refer to  FIG.  21 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  21 C  for the field curvature aberration on the tangential direction, and please refer to  FIG.  21 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the eighth embodiment of the optical imaging lens are shown in  FIG.  38    while the aspheric surface data are shown in  FIG.  39   . In this embodiment, EFL=3.221 mm; HFOV=41.021 degrees; TTL=3.961 mm; Fno=1.700; ImgH=2.920 mm. In particular, 1) the longitudinal spherical aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 2) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 3) the field curvature aberration on the tangential direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 4) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Ninth Embodiment 
     Please refer to  FIG.  22    which illustrates the ninth embodiment of the optical imaging lens  1  of the present invention. Please refer to  FIG.  23 A  for the longitudinal spherical aberration on the image plane  91  of the ninth embodiment; please refer to  FIG.  23 B  for the field curvature aberration on the sagittal direction; please refer to  FIG.  23 C  for the field curvature aberration on the tangential direction, and please refer to  FIG.  23 D  for the distortion aberration. The components in this embodiment are similar to those in the first embodiment, but the optical data such as the refracting power, the radius of curvature, the lens element thickness, the aspheric surface or the back focal length in this embodiment are different from the optical data in the first embodiment. Besides, in this embodiment, the second lens element  20  has negative refracting power, the fifth lens element  50  has negative refracting power, and the optical axis region  56  of the image-side surface  52  of the fifth lens element  50  is concave. 
     The optical data of the ninth embodiment of the optical imaging lens are shown in  FIG.  40    while the aspheric surface data are shown in  FIG.  41   . In this embodiment, EFL=3.189 mm; HFOV=41.020 degrees; TTL=3.914 mm; Fno=1.700; ImgH=2.920 mm. In particular,  1 ) the longitudinal spherical aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 2) the field curvature aberration on the sagittal direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, 3) the field curvature aberration on the tangential direction of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment, and 4) the distortion aberration of the optical imaging lens in this embodiment is better than that of the optical imaging lens in the first embodiment. 
     Some important ratios in each embodiment are shown in  FIG.  42   . 
     Each embodiment of the present invention provides an optical imaging lens which has a reduced surface area of the front lens of the optical imaging lens, maintains the structural strength of the lens, a larger field of view, ensured imaging quality, good optical performance and is technically possible. For example, satisfying the design of the following lens surface shape or refracting power configuration may effectively optimize the imaging quality of the optical imaging lens. Furthermore, the present invention has the corresponding advantages:
       1 . When the third lens element  30  has negative refracting power, the optical axis region  36  of the image-side surface  32  of the third lens element  30  is convex, and the periphery region  54  of the object-side surface  51  of the fifth lens element  50  is convex to satisfy TTL/T1≤5.600, they are conducive for the reduction of the surface area of the front lens while maintaining a larger field of view and the structural strength of the lens. The preferable range is 3.000≤TTL/T1≤5.600. If one of the limitations (a) and (b) is satisfied, they are moreover conducive for the correction of the longitudinal spherical aberration: 
   (a) the optical axis region  23  of the object-side surface  21  of the second lens element  20  is concave, with the optical axis region  43  of the object-side surface  41  of the fourth lens element  40  is convex, or with the optical axis region  53  of the object-side surface  51  of the fifth lens element  50  is concave;   (b) the optical axis region  26  of the image-side surface  22  of the second lens element  20  is convex.   
   2. When the optical axis region  26  of the image-side surface  22  of the second lens element  20  is convex, the optical axis region  33  of the object-side surface  31  of the third lens element  30  is concave, the fourth lens element  40  has positive refracting power to satisfy TTL/T1≤5.600, they are conducive for the reduction of the surface area of the front lens while maintaining a larger field of view and the structural strength of the lens. If one of the limitations (c) ~ (e) is satisfied, they are moreover conducive for the correction of the longitudinal spherical aberration: 
   (c) the periphery region  54  of the object-side surface  51  of the fifth lens element  50  is convex, with the optical axis region  23  of the object-side surface  21  of the second lens element  20  is concave, the periphery region  24  of the object-side surface  21  of the second lens element  20  is concave, the periphery region  27  of the image-side surface  22  of the second lens element  20  is concave, the optical axis region  36  of the image-side surface  32  of the third lens element  30  is convex, the periphery region  37  of the image-side surface  32  of the third lens element  30  is convex, the fifth lens element  50  has negative refracting power, or the optical axis region  53  of the object-side surface  51  of the fifth lens element  50  is concave; or   (d) the periphery region  27  of the image-side surface  22  of the second lens element  20  is concave, and the optical axis region  53  of the object-side surface  51  of the fifth lens element  50  is concave; or   (e) the periphery region  27  of the image-side surface  22  of the second lens element  20  is concave, the optical axis region  36  of the image-side surface  32  of the third lens element  30  is convex, and the periphery region  37  of the image-side surface  32  of the third lens element  30  is convex.   
   3. When the optical axis region  26  of the image-side surface  22  of the second lens element  20  is convex, the optical axis region  33  of the object-side surface  31  of the third lens element  30  is concave, the fourth lens element  40  has positive refracting power to satisfy T1/AAG≥0.800, they are conducive for the reduction of the surface area of the front lens while maintaining a larger field of view and the structural strength of the lens. The preferable range is T1/AAG≥0.950, and the more preferable range is 3.100≥T1/AAG≥0.800. If one of the limitations (f)~(g) is satisfied, they are moreover conducive for the correction of the longitudinal spherical aberration: 
   (f) the first lens element  10  has positive refracting power, the optical axis region  16  of the image-side surface  12  of the first lens element  10  is convex, the third lens element  30  has negative refracting power, the periphery region  54  of the object-side surface  51  of the fifth lens element  50  is convex, the periphery region  57  of the image-side surface  52  of the fifth lens element  50  is convex, with the periphery region  14  of the object-side surface  11  of the first lens element  10  is convex, or with the periphery region  44  of the object-side surface  41  of the fourth lens element  40  is concave;   (g) the periphery region  27  of the image-side surface  22  of the second lens element  20  is concave, with the optical axis region  16  of the image-side surface  12  of the first lens element  10  is convex, or with the optical axis region  36  of the image-side surface  32  of the third lens element  30  is convex.   
   4. When the periphery region  27  of the image-side surface  22  of the second lens element  20  is concave, the third lens element  30  has negative refracting power, the optical axis region  36  of the image-side surface  32  of the third lens element  30  is convex, the optical axis region  43  of the object-side surface  41  of the fourth lens element  40  is convex to satisfy (T1+ImgH)/AAG≥3.600, they are conducive for the reduction of the surface area of the front lens while maintaining a larger field of view and the structural strength of the lens. The preferable range is (T1+ImgH)/AAG≥3.800, and the more preferable range is 9.900≥(T1+ImgH)/AAG≥4.000. If one of the limitations (h)~(i) is satisfied, they are moreover conducive for the correction of the longitudinal spherical aberration: 
   (h) the optical axis region  16  of the image-side surface  12  of the first lens element  10  is convex, with the optical axis region  23  of the object-side surface  21  of the second lens element  20  is concave, the optical axis region  26  of the image-side surface  22  of the second lens element  20  is convex, or the second lens element  20  has positive refracting power;   (i) the fourth lens element  40  has positive refracting power, with the optical axis region  23  of the object-side surface  21  of the second lens element  20  is concave, the optical axis region  26  of the image-side surface  22  of the second lens element  20  is convex, or the second lens element  20  has positive refracting power.   
   5. When the optical axis region  23  of the object-side surface  21  of the second lens element  20  is concave, the optical axis region  36  of the image-side surface  32  of the third lens element  30  is convex to satisfy TTL/T1≤5.600, they are conducive for the reduction of the surface area of the front lens while maintaining a larger field of view and the structural strength of the lens. If one of the limitations (j)~(l) is satisfied, they are moreover conducive for the correction of the longitudinal spherical aberration: 
   (j) the third lens element  30  has negative refracting power, to satisfy (TL+T4)/BFL≤4.300 and υ4≥26.000, with the periphery region  34  of the object-side surface  31  of the third lens element  30  is concave, or with the periphery region  37  of the image-side surface  32  of the third lens element  30  is convex, and the preferable range is 57.000≥υ4≥26.000;   (k) the third lens element  30  has negative refracting power, the periphery region  37  of the image-side surface  32  of the third lens element  30  is convex to satisfy (TL+T4)/BFL≤4.300 and υ2+υ4≥56.000, with the optical axis region  16  of the image-side surface  12  of the first lens element  10  is convex, or with the periphery region  17  of the image-side surface  12  of the first lens element  10  is convex, and the preferable range is 104.000≥υ2+υ4≥56.000;   (l) the periphery region  37  of the image-side surface  32  of the third lens element  30  is convex, the optical axis region  43  of the object-side surface  41  of the fourth lens element  40  is convex, the optical axis region  46  of the image-side surface  42  of the fourth lens element  40  is convex, the periphery region  57  of the image-side surface  52  of the fifth lens element  50  is convex to satisfy (TL+T4) *Fno/ (T1 + T2 + T3)≤6.400, with the optical axis region  16  of the image-side surface  12  of the first lens element  10  is convex, or with the periphery region  17  of the image-side surface  12  of the first lens element  10  is convex.   
   6. The further arrangement of the optical imaging lens  1  of the present invention to satisfy the aperture stop  80  disposed at the side of the first lens element  10  facing the object side A1 is conducive for the increase of the HFOV and for the reduction of the distortion aberration.   7. The further arrangement of the optical imaging lens  1  of the present invention to include at least two lens elements with positive refracting power and one lens element with negative refracting power is conducive for the correction of the field curvature aberration.   8. If the following conditional formulae are satisfied , it is conductive for increasing the HFOV and keeping the thicknesses and gaps of lens elements in a suitable range meanwhile so the parameters are not too small to fabricate or too great to shrink the optical imaging lens. 
   4.000≤(T1+ImgH)/AAG, the preferable range is 4.000≤(T1+ImgH)/AAG≤9.900;   TTL/ (T1+T5)≤3.500, the preferable range is 2.000≤TTL/ (T1 + T5)≤3.500;   TTL/(T1+T4+T5)≤2.700, the preferable range is 1.600≤TTL/(T1+T4+T5)≤2.700;   94.500 degrees/mm≤HFOV/(T2+G23), the preferable range is 94.500 degrees/mm≤HFOV/ (T2+G23)≤135.000 degrees/mm;   51.500 degrees/mm≤HFOV/ (G34+T4), the preferable range is 51.500 degrees/mm≤HFOV/(G34+T4)≤125.000 degrees/mm;   (T1+T2+G34+T4)/(G12+G23+T3)≤2.900, the preferable range is 1.900≤(T1+T2+G34+T4)/(G12+G23+T3)≤2.900;   Fno* (G23+G34+T4+T5)/(G12+T2+T3+G45)≤3.500, the preferable range is 0.800≤Fno*(G23+G34+T4+T5)/(G12+T2+T3+G45)≤3.500;   (TL+T4)*Fno/(T1+T2+T3)≤6.400, the preferable range is 3.200≤(TL+T4)*Fno/(T1+T2+T3)≤6.400;   (TL+T4)/BFL≤4.300, the preferable range is 2.700≤(TL+T4)/BFL≤4.300;   36.500 degrees/mm≤HFOV/(T4+T5), the preferable range is 36.500 degrees/mm≤HFOV/(T4+T5)≤99.000;   (T4+T5)/(T2+T3)≤2.600, the preferable range is 0.700≤(T4+T5)/(T2+T3)≤2.600;   (T2+T4)/T3≤3.000, the preferable range is 1.500≤(T2+T4)/T3≤3.000;   33.000 degrees/mm≤HFOV/(G34+T4+T5), the preferable range is 33.000 degrees/mm≤HFOV/ (G34+T4+T5) ≤78.000 degrees/mm;   5.450≤TTL/(G34+T4), the preferable range is 5.450≤TTL/(G34+T4)≤11.000;   (G23+G34+T4+G45+BFL)/(T1+G12)≤2.300, the preferable range is 1.100≤(G23+G34+T4+G45+BFL)/(T1+G12)≤2.300;   (T2+G23+G34+T4+G45+T5)/(T1+G12)≤2.300, the preferable range is 0.900≤(T2+G23+G34+T4+G45+T5)/(T1+G12)≤2.300;   (T2+G34+T4)/(G12+G23)≤2.800, the preferable range is 1.600≤(T2+G34+T4)/(G12+G23)≤2.800.   
   9. The further satisfaction of the optical imaging lens  1  of the present invention such as the first lens element  10  has positive refracting power, the third lens element  30  has negative refracting power, or the fifth lens element  50  has negative refracting power is conducive to make the overall optical imaging lens become thinner and reduce the difficulty of fabrication. The preferable limitations are at least two of the first lens element  10 , the third lens element  30  and the fourth lens element  40  with positive refracting power.   

     Any arbitrary combination of the parameters of the embodiments can be selected additionally to increase the lens limitation so as to facilitate the design of the same structure of the present invention. 
     In the light of the unpredictability of the optical imaging lens, the above conditional formulas suggest that the optical imaging lens which has a reduced TTL, enlarged half field of view, better imaging quality or better assembly yield while reducing the surface area of the front lens to improve the drawbacks of prior art. 
     In addition to the above ratios, one or more conditional formulae may be optionally combined to be used in the embodiments of the present invention and the present invention is not limit to this. The concave or convex configuration of each lens element or multiple lens elements may be fine-tuned to enhance the control of the performance or the resolution. The above limitations may be selectively combined in the embodiments without causing inconsistency. 
     The contents in the embodiments of the invention include but are not limited to a focal length, a thickness of a lens element, an Abbe number, or other optical parameters. For example, in the embodiments of the invention, an optical parameter A and an optical parameter B are disclosed, wherein the ranges of the optical parameters, comparative relation between the optical parameters, and the range of a conditional expression covered by a plurality of embodiments are specifically explained as follows:
     (1) The ranges of the optical parameters are, for example, α 2 ≤A≤α 1  or β 2 ≤B≤β 1 , where α 1  is a maximum value of the optical parameter A among the plurality of embodiments, α 2  is a minimum value of the optical parameter A among the plurality of embodiments, β 1  is a maximum value of the optical parameter B among the plurality of embodiments, and β 2  is a minimum value of the optical parameter B among the plurality of embodiments.   (2) The comparative relation between the optical parameters is that A is greater than B or A is less than B, for example.   (3) The range of a conditional expression covered by a plurality of embodiments is in detail a combination relation or proportional relation obtained by a possible operation of a plurality of optical parameters in each same embodiment. The relation is defined as E, and E is, for example, A+B or A-B or A/B or A*B or (A*B)½, and E satisfies a conditional expression E≤γ 1  or E≥γ 2  or γ 2 ≤E≤γ 1 , where each of γ 1  and γ 2  is a value obtained by an operation of the optical parameter A and the optical parameter B in a same embodiment, γ 1  is a maximum value among the plurality of the embodiments, and γ 2  is a minimum value among the plurality of the embodiments.   

     The ranges of the aforementioned optical parameters, the aforementioned comparative relations between the optical parameters, and a maximum value, a minimum value, and the numerical range between the maximum value and the minimum value of the aforementioned conditional expressions are all implementable and all belong to the scope disclosed by the invention. The aforementioned description is for exemplary explanation, but the invention is not limited thereto. 
     The embodiments of the invention are all implementable. In addition, a combination of partial features in a same embodiment can be selected, and the combination of partial features can achieve the unexpected result of the invention with respect to the prior art. The combination of partial features includes but is not limited to the surface shape of a lens element, a refracting power, a conditional expression or the like, or a combination thereof. The description of the embodiments is for explaining the specific embodiments of the principles of the invention, but the invention is not limited thereto. Specifically, the embodiments and the drawings are for exemplifying, but the invention is not limited thereto. 
     Those skilled in the art will readily observe that numerous modifications and alterations of the device and method may be made while retaining the teachings of the invention. Accordingly, the above disclosure should be construed as limited only by the metes and bounds of the appended claims.