PATENT ABSTRACT
A five-piece optical lens for capturing image and a five-piece optical module for capturing image, along the optical axis in order from an object side to an image side, include a first lens with positive refractive power having a convex object-side surface; a second lens with refractive power; a third lens with refractive power; a fourth lens with refractive power; and a fifth lens with negative refractive power; and at least one of the image-side surface and object-side surface of each of the five lens elements are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

PATENT DESCRIPTION
The current application claims a foreign priority to application number 104104072 filed on Feb. 6, 2015 in Taiwan. 
     BACKGROUND OF THE INVENTION 
     1. Technical Field 
     The present invention relates generally to an optical system, and more particularly to a compact optical image capturing system for an electronic device. 
     2. Description of Related Art 
     In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of pixel size of the image sensing device, the development of the optical image capturing system towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised. 
     The conventional optical system of the portable electronic device usually has a three or four-piece lens. However, the optical system is asked to take pictures in a dark environment, in other words, the optical system is asked to have a large aperture. An optical system with large aperture usually has several problems, such as large aberration, poor image quality at periphery of the image, and hard to manufacture. In addition, an optical system of wide-angle usually has large distortion. Therefore, the conventional optical system provides high optical performance as required. 
     It is an important issue to increase the quantity of light entering the lens and the angle of field of the lens. In addition, the modern lens is also asked to have several characters, including high pixels, high image quality, small in size, and high optical performance. 
     BRIEF SUMMARY OF THE INVENTION 
     The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products. 
     The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference. 
     The lens parameter related to a length or a height in the lens element: 
     A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens element to the image-side surface of the fifth lens element is denoted by InTL. A distance from the image-side surface of the fifth lens to the image plane is denoted by InB. InTL+InB=HOS. A distance from the first lens element to the second lens element is denoted by IN12 (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (instance). 
     The lens parameter related to a material in the lens: 
     An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens element is denoted by Nd1 (instance). 
     The lens parameter related to a view angle in the lens: 
     A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA. 
     The lens parameter related to exit/entrance pupil in the lens 
     An entrance pupil diameter of the optical image capturing system is denoted by HEP. 
     The lens parameter related to a depth of the lens shape 
     A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the object-side surface of the fifth lens is denoted by InRS51 (instance). A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the image-side surface of the fifth lens is denoted by InRS52 (instance). 
     The lens parameter related to the lens shape: 
     A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance). A distance perpendicular to the optical axis between a critical point C51 on the object-side surface of the fifth lens and the optical axis is HVT51 (instance). A distance perpendicular to the optical axis between a critical point C52 on the image-side surface of the fifth lens and the optical axis is HVT52 (instance). The object-side surface of the fifth lens has one inflection point IF511 which is nearest to the optical axis, and the sinkage value of the inflection point IF511 is denoted by SGI511. A distance perpendicular to the optical axis between the inflection point IF511 and the optical axis is HIF511 (instance). The image-side surface of the fifth lens has one inflection point IF521 which is nearest to the optical axis, and the sinkage value of the inflection point IF521 is denoted by SGI521 (instance). A distance perpendicular to the optical axis between the inflection point IF521 and the optical axis is HIF521 (instance). The object-side surface of the fifth lens has one inflection point IF512 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF512 is denoted by SGI512 (instance). A distance perpendicular to the optical axis between the inflection point IF512 and the optical axis is HIF512 (instance). The image-side surface of the fifth lens has one inflection point IF522 which is the second nearest to the optical axis, and the sinkage value of the inflection point IF522 is denoted by SGI522 (instance). A distance perpendicular to the optical axis between the inflection point IF522 and the optical axis is HIF522 (instance). 
     The lens element parameter related to an aberration: 
     Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100% field. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC. 
     The present invention provides an optical image capturing system, in which the fifth lens is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the fifth lens are capable of modifying the optical path to improve the imagining quality. 
     The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, and a fifth lens in order along an optical axis from an object side to an image side. These five lenses have refractive power. Both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 6.0 and 0.5≦ HOS/f≦ 5.0;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis from an object-side surface of the first lens to the image plane. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, and a fifth lens in order along an optical axis from an object side to an image side. The first lens has refractive power. The second lens has refractive power, and the third and the fourth lenses have refractive power. The fifth lens has negative refractive power, and both an object-side surface and an image-side surface thereof are aspheric surfaces. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 6.0; 0.4≦|tan( HAF )|≦3.0; 0.5≦ HOS/f≦ 5.0; | TDT|&lt; 60%; and | ODT|≦ 50%;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; ODT is an optical distortion. 
     The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, and a fifth lens in order along an optical axis from an object side to an image side. At least two of these five lenses each has at least an inflection point on at least a surface thereof. The first lens has positive refractive power, and both an object-side surface and an image-side surface thereof are aspheric surfaces. The second and the third lens have refractive power, and the fourth lens has positive refractive power. The fifth lens has negative refractive power, and both an object-side surface and an image-side surface thereof are aspheric surfaces. The optical image capturing system satisfies:
 
1.2≦ f/HEP≦ 3.0; 0.4≦|tan( HAF )|≦3.0; 0.5≦ HOS/f≦ 3.0; | TDT|&lt; 60%; and | ODT|≦ 50%;
 
     where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; ODT is an optical distortion. 
     In an embodiment, the optical image capturing system further includes an image sensor with a size less than 1/1.2″ in diagonal, and the preferred size is 1/2.3″, and a pixel less than 1.4 μm. A preferable pixel size of the image sensor is less than 1.2 μm, and more preferable pixel size is less than 0.9 μm. A 16:9 image sensor is available for the optical image capturing system of the present invention. 
     In an embodiment, the optical image capturing system of the present invention is available to high-quality (4K 2K, so called UHD and QHD) recording, and provides high quality of image. 
     In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|&gt;f5. 
     In an embodiment, when the lenses satisfy |f2|+|f3|+|f4&gt;|f1|+|f5|, at least one of the lenses from the second lens to the fourth lens could have weak positive refractive power or weak negative refractive power. The weak refractive power indicates that an absolute value of the focal length is greater than 10. When at least one of the lenses from the second lens to the fourth lens could have weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one of the lenses from the second lens to the fourth lens could have weak negative refractive power, it may finely modify the aberration of the system. 
     In an embodiment, the fifth lens has negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fifth lens has at least an inflection point on a surface thereof, which may reduce an incident angle of the light of an off-axis field of view and modify the aberration of the off-axis field of view. It is preferable that both surfaces of the fifth lens have at least an inflection point on a surface thereof. 
    
    
     
       BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS 
       The present invention will be best understood by referring to the following detailed description of some illustrative embodiments in conjunction with the accompanying drawings, in which 
         FIG. 1A  is a schematic diagram of a first preferred embodiment of the present invention; 
         FIG. 1B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the first embodiment of the present application; 
         FIG. 1C  shows a curve diagram of TV distortion of the optical image capturing system of the first embodiment of the present application; 
         FIG. 2A  is a schematic diagram of a second preferred embodiment of the present invention; 
         FIG. 2B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the second embodiment of the present application; 
         FIG. 2C  shows a curve diagram of TV distortion of the optical image capturing system of the second embodiment of the present application; 
         FIG. 3A  is a schematic diagram of a third preferred embodiment of the present invention; 
         FIG. 3B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the third embodiment of the present application; 
         FIG. 3C  shows a curve diagram of TV distortion of the optical image capturing system of the third embodiment of the present application; 
         FIG. 4A  is a schematic diagram of a fourth preferred embodiment of the present invention; 
         FIG. 4B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fourth embodiment of the present application; 
         FIG. 4C  shows a curve diagram of TV distortion of the optical image capturing system of the fourth embodiment of the present application; 
         FIG. 5A  is a schematic diagram of a fifth preferred embodiment of the present invention; 
         FIG. 5B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the fifth embodiment of the present application; 
         FIG. 5C  shows a curve diagram of TV distortion of the optical image capturing system of the fifth embodiment of the present application; 
         FIG. 6A  is a schematic diagram of a sixth preferred embodiment of the present invention; 
         FIG. 6B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the sixth embodiment of the present application; and 
         FIG. 6C  shows a curve diagram of TV distortion of the optical image capturing system of the sixth embodiment of the present application; 
         FIG. 7A  is a schematic diagram of a seventh preferred embodiment of the present invention; 
         FIG. 7B  shows curve diagrams of longitudinal spherical aberration, astigmatic field, and optical distortion of the optical image capturing system in the order from left to right of the seventh embodiment of the present application; and 
         FIG. 7C  shows a curve diagram of TV distortion of the optical image capturing system of the seventh embodiment of the present application. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     An optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a forth lens, and a fifth lens from an object side to an image side with refractive power. The optical image capturing system further is provided with an image sensor at an image plane. 
     The optical image capturing system works in three wavelengths, including 486.1 nm, 510 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength, and 555 nm is the reference wavelength for obtaining the technical characters. 
     The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦2.5, and a preferable range is 1≦ΣPPR/|ΣNPR|≦2.0, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens; and ΣNPR is a sum of the NPRs of each negative lens. It is helpful to control of an entire refractive power and an entire length of the optical image capturing system. 
     HOS is a height of the optical image capturing system, and when the ratio of HOS/f approaches to 1, it is helpful to decrease of size and increase of imaging quality. 
     In an embodiment, the optical image capturing system of the present invention satisfies 0≦ΣPP≦200 and f1/ΣPP≦0.85, where ΣPP is a sum of a focal length fp of each lens with positive refractive power, and ΣNP is a sum of a focal length fn of each lens with negative refractive power. It is helpful to control of focusing capacity of the system and redistribution of the positive refractive powers of the system to avoid the significant aberration in early time. The optical image capturing system further satisfies ΣNP&lt;−0.1 and 0.01≦f5/ΣNP≦0.85, which is helpful to control of an entire refractive power and an entire length of the optical image capturing system. 
     The first lens has positive refractive power, and an object-side surface, which faces the object side, thereof is convex. It may modify the positive refractive power of the first lens as well as shorten the entire length of the system. 
     The second lens has negative refractive power, which may correct the aberration of the first lens. 
     The third lens has positive refractive power, which may share the positive refractive power of the first lens. It may share the positive refractive power of the first lens to reduce an increase of the aberration and reduce a sensitivity of the system. 
     The fourth lens has positive refractive power, and an image-side surface thereof, which faces the image side, is convex. It may share the positive refractive power of the first lens to reduce an increase of the aberration and reduce a sensitivity of the system. 
     The fifth lens has negative refractive power, and an image-side surface thereof, which faces the image side, is concave. It may shorten a rear focal length to reduce the size of the system. In addition, the fifth lens is provided with at least an inflection point on at least a surface to reduce an incident angle of the light of an off-axis field of view and modify the aberration of the off-axis field of view. It is preferable that each surface, the object-side surface and the image-side surface, of the fifth lens has at least an inflection point. 
     The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦3 and 0.5≦HOS/f≦5.0, and a preferable range is 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2, where HOI is height for image formation of the optical image capturing system, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e. a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful to reduction of size of the system for used in compact cameras. 
     The optical image capturing system of the present invention further is provided with an aperture to increase image quality. 
     In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.5≦InS/HOS≦1.1, and a preferable range is 0.8≦InS/HOS≦1, where InS is a distance between the aperture and the image plane. It is helpful to size reduction and wide angle. 
     The optical image capturing system of the present invention satisfies 0.45≦ΣTP/InTL≦0.95, where InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens, and ΣTP is a sum of central thicknesses of the lenses on the optical axis. It is helpful to the contrast of image and yield rate of manufacture, and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system of the present invention satisfies 0.1≦|R1/R2|≦5, and a preferable range is 0.1≦|R1/R2|≦4, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system of the present invention satisfies −200&lt;(R9−R10)/(R9+R10)&lt;30, where R9 is a radius of curvature of the object-side surface of the fifth lens, and R10 is a radius of curvature of the image-side surface of the fifth lens. It may modify the astigmatic field curvature. 
     The optical image capturing system of the present invention satisfies 0&lt;IN12/f≦2.0, and a preferable range is 0.01≦IN12/f≦0.20, where IN12 is a distance on the optical axis between the first lens and the second lens. It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the present invention satisfies 0&lt;(TP1+IN12)/TP2≦10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.2≦(TP5+IN45)/TP4≦3, where TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and N45 is a distance between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the present invention satisfies 0.1≦(TP2+TP3+TP4)/ΣTP≦0.9, and a preferable range is 0.4≦(TP2+TP3+TP4)/ΣTP≦0.8, where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and Σ TP is a sum of the central thicknesses of all the lenses on the optical axis. It may finely modify the aberration of the incident rays and reduce the height of the system. 
     The optical image capturing system of the present invention satisfies −1.5 mm≦InRS51≦1.5 mm; −1.5 mm≦InRS52≦1.5 mm; 0 mm&lt;|InRS51|+|InRS52|≦3 mm; 0.01≦|InRS51|/TP5≦10; and 0.01≦|InRS52|/TP5≦10, where InRS51 is a displacement in parallel with the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface of the first lens; InRS52 is a displacement in parallel with the optical axis from a point on the image-side surface of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface of the fifth lens; and TP5 is a central thickness of the fifth lens on the optical axis. It may control a ratio of the central thickness of the fifth lens and the effective semi diameter thickness (thickness ratio) to increase the yield rate of manufacture. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI511/(SGI511+TP5)≦0.9 and 0&lt;SGI521/(SGI521+TP5)≦0.9, and a preferable range is 0.01&lt;SGI511/(SGI511+TP5)≦0.7 and 0.01&lt;SGI521/(SGI521+TP5)≦0.7, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0&lt;SGI512/(SGI512+TP5)≦0.9 and 0&lt;SGI522/(SGI522+TP5)≦0.9, and a preferable range is 0.1≦SGI512/(SGI512+TP5)≦0.8 and 0.1≦SGI522/(SGI522+TP5)≦0.8, SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis. 
     The optical image capturing system of the present invention satisfies 0.01≦HIF511/HOI≦0.9 and 0.01≦HIF521/HOI≦0.9, and a preferable range is 0.09≦HIF511/HOI≦0.5 and 0.09≦HIF521/HOI≦0.5, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis, and HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     The optical image capturing system of the present invention satisfies 0.01≦HIF512/HOI≦0.9 and 0.01≦HIF522/HOI≦0.9, and a preferable range is 0.09≦HIF512/HOI≦0.8 and 0.09≦HIF522/HOT≦0.8, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis, and HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis. 
     In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful to correction of aberration of the system. 
     An equation of aspheric surface is
 
 z=ch   2 /[1+[1( k+ 1) c   2   h   2 ] 0.5   ]+A 4 h   4   +A 6 h   6   +A 8 h   8   +A 10 h   10   +A 12 h   12   +A 14 h   14   +A 1 6 h   16   +A 18 h   18   +A 20 h   20   (1)
 
     where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of radius of curvature; and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high-order aspheric coefficients. 
     In the optical image capturing system, the lenses could be made of plastic or glass. The plastic lenses may reduce the weight and lower the cost of the system, and the glass lenses may control the thermal effect and enlarge the space for arrangement of refractive power of the system. In addition, the opposite surfaces (object-side surface and image-side surface) of the first to the fifth lenses could be aspheric that can obtain more control parameters to reduce aberration. The number of aspheric glass lenses could be less than the conventional spherical glass lenses that is helpful to reduction of the height of the system. 
     When the lens has a convex surface, which means that the surface is convex around a position, through which the optical axis passes, and when the lens has a concave surface, which means that the surface is concave around a position, through which the optical axis passes. 
     The optical image capturing system of the present invention further is provided with a diaphragm to increase image quality. 
     In the optical image capturing system, the diaphragm could be a front diaphragm or a middle diaphragm, wherein the front diaphragm is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front diaphragm provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle diaphragm could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The middle diaphragm is helpful to size reduction and wide angle. 
     The optical image capturing system of the present invention could be applied in dynamic focusing optical system. It is superior in correction of aberration and high imaging quality so that it could be allied in lots of fields. 
     We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are: 
     First Embodiment 
     As shown in  FIG. 1A  and  FIG. 1B , an optical image capturing system  100  of the first preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  100 , a first lens  110 , a second lens  120 , a third lens  130 , a fourth lens  140 , a fifth lens  150 , an infrared rays filter  170 , an image plane  180 , and an image sensor  190 . 
     The first lens  110  has positive refractive power, and is made of plastic. An object-side surface  112  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  114  thereof, which faces the image side, is a concave aspheric surface, and the image-side surface has an inflection point. The first lens  110  satisfies SGI121=0.0387148 mm and |SGI121|/(|SGI121|+TP1)=0.061775374, where SGI121 is a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The first lens  110  further satisfies HIF121=0.61351 mm and HIF121/HOI=0.209139253, where HIF121 is a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis. 
     The second lens  120  has negative refractive power, and is made of plastic. An object-side surface  122  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  124  thereof, which faces the image side, is a convex aspheric surface, and the image-side surface  124  has an inflection point. The second lens  120  satisfies SGI221=−0.0657553 mm and |SGI221|/(|SGI221|+TP2)=0.176581512, where SGI221 is a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The second lens further satisfies HIF221=0.84667 mm and HIF221/HOI=0.288621101, where HIF221 is a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis. 
     The third lens  130  has negative refractive power, and is made of plastic. An object-side surface  132 , which faces the object side, is a concave aspheric surface, and an image-side surface  134 , which faces the image side, is a convex aspheric surface, and each of them has two inflection points. The third lens  130  satisfies SGI311=−0.341027 mm; SGI321=−0.231534 mm and |SGI311|/(|SGI311|+TP3)=0.525237108 and |SGI321|/(|SGI321|+TP3)=0.428934269, where SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The third lens  130  satisfies SGI312=−0.376807 mm; SGI322=−0.382162 mm; |SGI312|(|SGI312|+TP5), 0.550033428; |SGI322|/(|SGI322|+TP3)=0.55352345, where SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI322 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis. 
     The third lens  130  further satisfies HIF311=0.987648 mm; HIF321=0.805604 mm; HIF311/HOI=0.336679052; and HIF321/HOI=0.274622124, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis, and HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis. 
     The third lens  130  further satisfies HIF312=1.0493 mm; HIF322=1.17741 mm; HIF312/HOI=0.357695585; and HIF322/HOI=0.401366968, where HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis, and HIF322 is a distance perpendicular to the optical axis, between the inflection point on the image-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis. 
     The fourth lens  140  has positive refractive power, and is made of plastic. Both an object-side surface  142 , which faces the object side, and an image-side surface  144 , which faces the image side, thereof are convex aspheric surfaces, and the object-side surface  142  has an inflection point. The fourth lens  140  satisfies SGI411=0.0687683 mm and |SGI411|/(|SGI411|+TP4)=0.118221297, where SGI411 is a displacement in parallel with the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis. 
     The fourth lens  140  further satisfies HIF411=0.645213 mm and HIF411/HOI=0.21994648, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis. 
     The fifth lens  150  has negative refractive power, and is made of plastic. Both an object-side surface  152 , which faces the object side, and an image-side surface  154 , which faces the image side, thereof are concave aspheric surfaces. The object-side surface  152  has three inflection points, and the image-side surface  154  has an inflection point. The fifth lens  150  satisfies SGI511=−0.236079 mm; SGI521=0.023266 mm; |SGI511|/(|SGI511|+TP5)=0.418297214; and |SGI521|/(|SGI521|+TP5)=0.066177809, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis. 
     The fifth lens  150  further satisfies SGI512=−0.325042 mm and |SGI512|/(|SGI512|+TP5)=0.497505143, where SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis. 
     The fifth lens  150  further satisfies SGI513=−0.538131 mm; and |SGI513|/(|SGI513|+TP5)=0.621087839, where SGI513 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the third closest to the optical axis. 
     The fifth lens  150  further satisfies HIF511=1.21551 mm; HIF521=0.575738 mm; HIF511/HOI=0.414354866; and HIF521/HOI=0.196263167, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis, and HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis. 
     The fifth lens  150  further satisfies HIF512=1.49061 mm and HIF512/HOI=0.508133629, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second the closest to the optical axis, and the optical axis. 
     The fifth lens  150  further satisfies HIF513=2.00664 mm and HIF513/HOI=0.684042952, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis. 
     The infrared rays filter  170  is made of glass, and between the fifth lens  150  and the image plane  180 . The infrared rays filter  170  gives no contribution to the focal length of the system. 
     The optical image capturing system of the first preferred embodiment has the following parameters, which are f=3.73172 mm; f/HEP=2.05; and HAF=37.5 degrees and tan(HAF)=0.7673, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter. 
     The parameters of the lenses of the first preferred embodiment are f1=3.7751 mm; |f/f1|=0.9885; f5=−3.6601 mm; |f1|&gt;f5; and |f1/f5|=1.0314, where f1 is a focal length of the first lens  110 ; and f5 is a focal length of the fifth lens  150 . 
     The first preferred embodiment further satisfies |f2+|f3+|f4|=77.3594 mm; |f1|+|f5|=7.4352 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f2 is a focal length of the second lens  120 ; f3 is a focal length of the third lens  130 ; and f4 is a focal length of the fourth lens  140 . 
     The optical image capturing system of the first preferred embodiment further satisfies ΣPPR=f/f1+f/f4=1.9785; ΣNPR=f/f2+f/f3+f/f5=−1.2901; ΣPPR/|Σ NPR|=1.5336; |f/f1|=0.9885; |f/f2|=0.0676; |f/f3|=0.2029; |f/f4|=0.9900; and |f/f5|=1.0196, where PPR is a ratio of a focal length f of the optical image capturing system to a focal length fp of each of the lenses with positive refractive power; and NPR is a ratio of a focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power. 
     The optical image capturing system of the first preferred embodiment further satisfies InTL+InB=HOS; HOS=4.5 mm; HOI=2.9335 mm; HOS/HOI=1.5340; HOS/f=1.2059; Intl/HOS=0.7597; and InS=4.19216 mm, where InTL is a distance between the object-side surface  112  of the first lens  110  and the image-side surface  154  of the fifth lens  150 ; HOS is a height of the image capturing system, i.e. a distance between the object-side surface  112  of the first lens  110  and the image plane  180 ; InS is a distance between the aperture  100  and the image plane  180 ; HOT is height for image formation of the optical image capturing system, i.e., the maximum image height; and InB is a distance between the image-side surface  154  of the fifth lens  150  and the image plane  180 . 
     The optical image capturing system of the first preferred embodiment further satisfies ΣTP=2.044092 mm and ΣTP/InTL=0.5979, where ΣTP is a sum of the thicknesses of the lenses  110 - 150  with refractive power. It is helpful to the contrast of image and yield rate of manufacture, and provides a suitable back focal length for installation of other elements. 
     The optical image capturing system of the first preferred embodiment further satisfies |R1/R2|=0.3261, where R1 is a radius of curvature of the object-side surface  112  of the first lens  110 , and R2 is a radius of curvature of the image-side surface  114  of the first lens  110 . It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration. 
     The optical image capturing system of the first preferred embodiment further satisfies (R9−R10)/(R9+R10)=−2.9828, where R9 is a radius of curvature of the object-side surface  152  of the fifth lens  150 , and R10 is a radius of curvature of the image-side surface  154  of the fifth lens  150 . It may modify the astigmatic field curvature. 
     The optical image capturing system of the first preferred embodiment further satisfies ΣPP=f1+f4=7.5444 mm and f1/(f1+f4)=0.5004, where ΣPP is a sum of the focal lengths fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the first lens  110  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the first preferred embodiment further satisfies ΣNP=f2+f3+f5=−77.2502 mm and f5/(f2+f3+f5)=0.0474, where f2, f3, and f5 are focal lengths of the second, the third, and the fifth lenses, and ΣNP is a sum of the focal lengths fp of each lens with negative refractive power. It is helpful to share the negative refractive power of the fifth lens  150  to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The optical image capturing system of the first preferred embodiment further satisfies IN12=0.511659 mm and IN12/f=0.1371, where IN12 is a distance on the optical axis between the first lens  110  and the second lens  120 . It may correct chromatic aberration and improve the performance. 
     The optical image capturing system of the first preferred embodiment further satisfies TP1=0.587988 mm; TP2=0.306624 mm; and (TP1+IN12)/TP2=3.5863, where TP1 is a central thickness of the first lens  110  on the optical axis, and TP2 is a central thickness of the second lens  120  on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the first preferred embodiment further satisfies TP4=0.5129 mm; TP5=0.3283 mm; and (TP5+IN45)/TP4=1.5095, where TP4 is a central thickness of the fourth lens  140  on the optical axis, TP5 is a central thickness of the fifth lens  150  on the optical axis, and N45 is a distance on the optical axis between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance. 
     The optical image capturing system of the first preferred embodiment further satisfies TP3=0.3083 mm and (TP2+TP3+TP4)/ΣTP=0.5517, where TP2, TP3, and TP4 are thicknesses on the optical axis of the second, the third, and the fourth lenses, and ΣTP is a sum of the central thicknesses of all the lenses with refractive power on the optical axis. It may finely modify the aberration of the incident rays and reduce the height of the system. 
     The optical image capturing system of the first preferred embodiment further satisfies InRS51=−0.576871 mm; InRS52=−0.555284 mm; |InRS51|+|InRS52|=1.1132155 mm; |InRS51|/TP5=1.7571; and |InRS52|/TP5=1.691, where InRS51 is a displacement in parallel with the optical axis from a point on the object-side surface  152  of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface  152  of the fifth lens; InRS52 is a displacement in parallel with the optical axis from a point on the image-side surface  154  of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface  154  of the fifth lens; and TP5 is a central thickness of the fifth lens  150  on the optical axis. It is helpful to manufacture and molding of the lenses, and keeping the miniature size. 
     The second lens  120  and the fifth lens  150  of the optical image capturing system of the first preferred embodiment have negative refractive power, and the optical image capturing system further satisfies NA5/NA2=2.5441, where NA2 is an Abbe number of the second lens  120 , and NA5 is an Abbe number of the fifth lens  150 . It may correct the aberration of the system. 
     The optical image capturing system of the first preferred embodiment further satisfies |TDT|=0.6343% and |ODT|=2.5001%, where TDT is TV distortion; and ODT is optical distortion. 
     The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2. 
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 f = 3.73172 mm; f/HEP = 2.05; HAF = 37.5 deg; tan(HAF) = 0.7673 
               
             
          
           
               
                   
                 Radius of curvature  
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
               
               
                 1 
                 Aperture 
                 plane 
                 −0.30784 
                   
                   
                   
               
             
          
           
               
                 2 
                 1 st  lens 
                 1.48285 
                 0.587988 
                 plastic 
                 1.5441 
                 56.1 
                 3.77514 
               
               
                 3 
                   
                 4.54742 
                 0.511659 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 −9.33807 
                 0.306624 
                 plastic 
                 1.6425 
                 22.465 
                 −55.2008 
               
               
                 5 
                   
                 −12.8028 
                 0.366935 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −1.02094 
                 0.308255 
                 plastic 
                 1.6425 
                 22.465 
                 −18.3893 
               
               
                 7 
                   
                 −1.2492 
                 0.05 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 2.18916 
                 0.512923 
                 plastic 
                 1.5441 
                 56.1 
                 3.7693 
               
               
                 9 
                   
                 −31.3936 
                 0.44596 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −2.86353 
                 0.328302 
                 plastic 
                 1.514 
                 57.1538 
                 −3.6601 
               
               
                 11 
                   
                 5.75188 
                 0.3 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 plane 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 plane 
                 0.58424 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 plane 
                 −0.00289 
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −1.83479 
                 −20.595808 
                 16.674705 
                 11.425456 
                 −4.642191 
               
               
                 A4 
                 6.89867E−02 
                 2.25678E−02 
                 −1.11828E−01  
                 −4.19899E−02 
                 −7.09315E−02 
               
               
                 A6 
                 2.35740E−02 
                 −6.17850E−02 
                 −6.62880E−02 
                 −1.88072E−02 
                 9.65840E−02 
               
               
                 A8 
                 −4.26369E−02  
                 5.82944E−02 
                 −3.35190E−02 
                 −6.98321E−02 
                 −7.32044E−03 
               
               
                 A10 
                 5.63746E−03 
                 −2.73938E−02 
                 −7.28886E−02 
                 −1.13079E−02 
                 −8.96740E−02 
               
               
                 A12 
                 7.46740E−02 
                 −2.45759E−01 
                 4.05955E−02 
                 6.79127E−02 
                 −3.70146E−02 
               
               
                 A14 
                 −6.93116E−02 
                 3.43401E−01 
                 1.60451E−01 
                 2.83769E−02 
                 5.00641E−02 
               
               
                 A16 
                 −2.04867E−02 
                 −1.28084E−01 
                 1.24448E−01 
                 −2.45035E−02 
                 7.50413E−02 
               
               
                 A18 
                 1.99910E−02 
                 −2.32031E−02 
                 −1.94856E−01 
                 2.90241E−02 
                 −5.10392E−02 
               
               
                 A20 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −1.197201 
                 −20.458388 
                 −50 
                 −2.907359 
                 −50 
               
               
                 A4 
                 3.64395E−02 
                 −1.75641E−02 
                 −7.82211E−04  
                 −1.58711E−03 
                 −2.46339E−02 
               
               
                 A6 
                 2.22356E−02 
                 −2.87240E−03 
                 −2.47110E−04 
                 −3.46504E−03 
                 6.61804E−04 
               
               
                 A8 
                 7.09828E−03 
                 −2.56360E−04 
                 −3.78130E−04 
                 4.52459E−03 
                 1.54143E−04 
               
               
                 A10 
                 5.05740E−03 
                 7.39189E−05 
                 −1.22232E−04 
                 1.05841E−04 
                 −2.83264E−05 
               
               
                 A12 
                 −4.51124E−04  
                 −5.53116E−08 
                 −1.50294E−05 
                 −5.57252E−04 
                 −5.78839E−06 
               
               
                 A14 
                 −1.84003E−03  
                 8.16043E−06 
                 −5.41743E−07  
                 4.41714E−05 
                 −2.91861E−07 
               
               
                 A16 
                 −1.28118E−03  
                 2.10395E−06 
                 2.98820E−07 
                 1.80752E−05 
                 8.25778E−08 
               
               
                 A18 
                 4.09004E−04 
                 −1.21664E−06 
                 2.73321E−07 
                 −2.27031E−06 
                 −9.87595E−09 
               
               
                 A20 
               
               
                   
               
             
          
         
       
     
     The detail parameters of the first preferred embodiment are listed in Table 1, in which the unit of radius of curvature, thickness, and focal length are millimeter, and surface 0-14 indicates the surfaces of all elements in the system in sequence from the object side to the image side. Table 2 is the list of coefficients of the aspheric surfaces, in which A1-A20 indicate the coefficients of aspheric surfaces from the first order to the twentieth order of each aspheric surface. The following embodiments have the similar diagrams and tables, which are the same as those of the first embodiment, so we do not describe it again. 
     Second Embodiment 
     As shown in  FIG. 2A  and  FIG. 2B , an optical image capturing system of the second preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  200 , a first lens  210 , a second lens  220 , a third lens  230 , a fourth lens  240 , a fifth lens  250 , an infrared rays filter  270 , an image plane  280 , and an image sensor  290 . 
     The first lens  210  has positive refractive power, and is made of plastic. An object-side surface  212  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  214  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  212  and the image-side surface  214  each has an inflection point. 
     The second lens  220  has negative refractive power, and is made of plastic. An object-side surface  222 , which faces the object side, thereof has a convex aspheric surface, and an image-side surface  224 , which faces the image side, thereof is a concave aspheric surface. The object-side surface  222  and the image-side surface  224  each has an inflection point. 
     The third lens  230  has positive refractive power, and is made of plastic. An object-side surface  232 , which faces the object side, is a convex aspheric surface, and an image-side surface  234 , which faces the image side, is a convex aspheric surface, and the object-side surface  232  has an inflection point. 
     The fourth lens  240  has positive refractive power, and is made of plastic. An object-side surface  242 , which faces the object side, thereof is a concave aspheric surface, and an image-side surface  244 , which faces the image side, thereof is a convex aspheric surface. The image-side surface  244  and the image-side surface  244  each has an inflection point. 
     The fifth lens  250  has negative refractive power, and is made of plastic. An object-side surface  252 , which faces the object side, is a convex aspheric surface, and an image-side surface  254 , which faces the image side, is a concave aspheric surface. The object-side surface  252  and the image-side surface  254  each has an inflection point. 
     The infrared rays filter  270  is made of glass, and between the fifth lens  250  and the image plane  280 . The infrared rays filter  270  gives no contribution to the focal length of the system. 
     The optical image capturing system of the second preferred embodiment has the following parameters, which are |f2|+|f3|+|f4|=23.5926 mm, |f1|+|f5|=18.5550 mm, and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f1 is a focal length of the first lens  210 ; f2 is a focal length of the second lens  220 ; f3 is a focal length of the third lens  230 ; f4 is a focal length of the fourth lens  240 ; and f5 is a focal length of the fifth lens  250 . 
     The optical image capturing system of the second preferred embodiment further satisfies TP4=0.63064 mm and TP5=0.47037 mm, where TP4 is a thickness of the fourth lens on the optical axis, and TP5 is a thickness of the fifth lens on the optical axis. 
     In the second embodiment, the first, the third, and the fourth lenses  210 ,  230 , and  240  are positive lenses, and their focal lengths are f1, f3, and f4. ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  210  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
     In the second preferred embodiment, the second and the fifth lenses  220  and  250  are negative lenses, and their focal lengths are f2 and f5. ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  250  to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4. 
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 f = 2.39882 mm; f/HEP = 1.6; HAF = 50.0001 deg; tan(HAF) = 1.1918 
               
             
          
           
               
                   
                 Radius of curvature 
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 infinity  
                 0.023187 
                   
                   
                   
                   
               
               
                 2 
                 1 st  lens 
                 2.75623 
                 0.336295 
                 plastic 
                 1.565 
                 58 
                 10.0194 
               
               
                 3 
                   
                 5.11922 
                 0.221815 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 2.49612 
                 0.2 
                 plastic 
                 1.65 
                 21.4 
                 −15.9171 
               
               
                 5 
                   
                 1.9503 
                 0.085252 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 3.96846 
                 0.54386 
                 plastic 
                 1.565 
                 58 
                 3.83046 
               
               
                 7 
                   
                 −4.55568 
                 0.261501 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −1.21688 
                 0.630638 
                 plastic 
                 1.565 
                 58 
                 3.84507 
               
               
                 9 
                   
                 −0.92725 
                 0.05 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 1.05879 
                 0.470366 
                 plastic 
                 1.65 
                 21.4 
                 −8.5356 
               
               
                 11 
                   
                 0.7337 
                 0.6 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 infinity 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 infinity  
                 0.530577 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 infinity 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555 nm. The clear aperture of the fourth surface is 1.00 mm. 
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 4 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −7.526236 
                 −50 
                 −7.140386 
                 −11.297968 
                 1.235934 
               
               
                 A4 
                 −1.52748E−04 
                 −7.76900E−02 
                 −2.37254E−01  
                 −9.28523E−02 
                 −1.01158E−01 
               
               
                 A6 
                 −2.82924E−02 
                 −8.10776E−02 
                 8.72894E−02 
                 −3.24025E−02 
                 −9.19680E−03 
               
               
                 A8 
                 7.39354E−03  
                 3.90879E−02 
                 −2.52597E−01  
                 3.14491E−02 
                 8.03189E−03 
               
               
                 A10 
                 −9.40301E−02 
                 −1.96861E−01 
                 −1.95761E−02  
                 −5.01982E−02 
                 1.24352E−01 
               
               
                 A12 
                 8.80435E−05 
                 8.50353E−02 
                 −5.26989E−08 
                 1.73800E−02 
                 −1.82268E−01 
               
               
                 A14 
                 3.27915E−07  
                 −2.60667E−07 
                 2.04814E−07 
                 1.03678E−06 
                 6.32774E−02 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −42.199952 
                 −6.814967 
                 −1.906798 
                 −3.150943 
                 −3.120444 
               
               
                 A4 
                 −5.19222E−02 
                 −1.16523E−01 
                 −7.13085E−02  
                 −1.07691E−01 
                 −5.39070E−02 
               
               
                 A6 
                 −4.89301E−02 
                 −3.42403E−04 
                 −2.14142E−02 
                 3.53305E−02 
                 5.06056E−03 
               
               
                 A8 
                 −1.14816E−02  
                 −2.59585E−02 
                 2.82371E−03 
                 −1.69048E−02 
                 4.13197E−04 
               
               
                 A10 
                 1.21461E−02 
                 1.03148E−02 
                 1.74342E−03 
                 −8.97485E−04 
                 −2.38263E−04 
               
               
                 A12 
                 1.92447E−02 
                 3.16319E−02 
                 6.99617E−04 
                 2.67081E−03 
                 8.61673E−06 
               
               
                 A14 
                 −1.29619E−02 
                 −1.42257E−02 
                 4.21532E−04 
                 −7.28291E−04 
                 1.70416E−06 
               
               
                   
               
             
          
         
       
     
     An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.08358 
                 −0.00571 
                 −0.01899 
                 0.04865 
                 0.02051 
                 −0.31948 
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 HVT51 
                 HVT52 
               
               
                 −0.53206 
                 −0.95148 
                 −0.02493 
                 0.29595 
                 1.17903 
                 1.64514 
               
               
                 |ODT|% 
                 |TDT|% 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
                   
               
               
                 2.20030 
                 0.70860 
                 0.68007 
                 1.62126 
                 2.30133 
                   
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + 
                 (|InRS42| + 
               
               
                 InTL 
                 HOS 
                 |InRS41|)/IN34 
                 |InRS51|)/IN45 
               
               
                 0.82198 
                 0.55718 
                 3.2563 
                 19.5282 
               
             
          
           
               
                 (|InRS41| + |InRS42| + 
                 (|InRS41| + |InRS42| + 
               
               
                 |InRS51| + |InRS52|)/ 
                 |InRS51| + |InRS52|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.64450 
                 0.43687 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.23942 
                 0.15071 
                 0.62625 
                 0.62387 
                 0.28104 
                 0.62947 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/ 
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
               
               
                   
                   
                 |ΣNPR| 
                   
                   
                   
               
               
                 1.48954 
                 0.43174 
                 3.45004 
                 17.69493 
                 −24.45270 
                 0.56623 
               
               
                 f5/ΣNP 
                 IN12/f 
                 HVT52/ 
                 HVT52/ 
                 |InRS51|/ 
                 |InRS52|/ 
               
               
                   
                   
                 HOI 
                 HOS 
                 TP5 
                 TP5 
               
               
                 0.34907 
                 0.09247 
                 0.56081 
                 0.39831 
                 0.0530 
                 0.6292 
               
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                 4.13030 
                 2.79973 
                 1.40798 
                 1.00561 
                 0.67785 
                 0.77906 
               
               
                 HVT41 
                 HVT42 
                   
                   
                   
                   
               
               
                 0 
                 0 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Second embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 0.69767 
                 HIF111/ 
                 0.23783 
                 SGI111 
                  0.11463 
                 |SGI111/ 
                 0.24333 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI111| + TP1) 
                   
               
               
                 HIF121 
                 0.43100 
                 HIF121/ 
                 0.14692 
                 SGI121 
                  0.01817 
                 |SGI121|/ 
                 0.04851 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI121| + TP1) 
                   
               
               
                 HIF211 
                 0.29344 
                 HIF211/ 
                 0.10003 
                 SGI211 
                  0.01126 
                 |SGI211|/ 
                 0.05329 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI211| + TP2) 
                   
               
               
                 HIF221 
                 0.40775 
                 HIF221/ 
                 0.13900 
                 SGI221 
                  0.03197 
                 |SGI221|/ 
                 0.13782 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI221| + TP2) 
                   
               
               
                 HIF311 
                 0.22772 
                 HIF311/ 
                 0.07763 
                 SGI311 
                  0.00143 
                 |SGI311|/ 
                 0.00344 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI311| + TP3) 
                   
               
               
                 HIF312 
                 0.92266 
                 HIF312/ 
                 0.31453 
                 SGI312 
                 −0.08159 
                 |SGI312|/ 
                 0.16401 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI312| + TP3) 
                   
               
               
                 HIF321 
                 0.95878 
                 HIF321/ 
                 0.32684 
                 SGI321 
                 −0.26356 
                 |SGI321|/ 
                 0.38789 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI321| + TP3) 
                   
               
               
                 HIF411 
                 0.79026 
                 HIF411/ 
                 0.26939 
                 SGI411 
                 −0.29246 
                 |SGI411|/ 
                 0.32770 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI411| + TP4) 
                   
               
               
                 HIF421 
                 1.18152 
                 HIF421/ 
                 0.40277 
                 SGI421 
                 −0.75682 
                 |SGI421|/ 
                 0.55780 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI421| + TP4) 
                   
               
               
                 HIF511 
                 0.61221 
                 HIF511/ 
                 0.20870 
                 SGI511 
                  0.11515 
                 |SGI511|/ 
                 0.22973 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SG1511| + TP5) 
                   
               
               
                 HIF521 
                 0.62495 
                 HIF521/ 
                 0.21304 
                 SGI521 
                  0.17690 
                 |SGI521|/ 
                 0.31423 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI521| + TP5) 
               
               
                   
               
             
          
         
       
     
     Third Embodiment 
     As shown in  FIG. 3A  and  FIG. 3B , an optical image capturing system of the third preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  300 , a first lens  310 , a second lens  320 , a third lens  330 , a fourth lens  340 , a fifth lens  350 , an infrared rays filter  370 , an image plane  380 , and an image sensor  390 . 
     The first lens  310  has positive refractive power, and is made of plastic. An object-side surface  312  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  314  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  312  and the image-side surface  314  each has an inflection point. 
     The second lens  320  has negative refractive power, and is made of plastic. An object-side surface  322  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  324  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  322  and the image-side surface  324  each has an inflection point. 
     The third lens  330  has positive refractive power, and is made of plastic. An object-side surface  332 , which faces the object side, is a convex aspheric surface, and an image-side surface  334  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  332  and the image-side surface  334  each has an inflection point. 
     The fourth lens  340  has a positive refractive power, and is made of plastic. An object-side surface  342 , which faces the object side, is a concave aspheric surface, and an image-side surface  344 , which faces the image side, is a convex aspheric surface. The image-side surface  344  has an inflection point. 
     The fifth lens  350  has negative refractive power, and is made of plastic. An object-side surface  352 , which faces the object side, is a convex aspheric surface, and an image-side surface  354 , which faces the image side, is a concave aspheric surface. The object-side surface  352  and the image-side surface  354  each has an inflection point. 
     The infrared rays filter  370  is made of glass, and between the fifth lens  350  and the image plane  380 . The infrared rays filter  370  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the third preferred embodiment are |f2|+|f3|+|f4|=24.5164 mm; |f1|+|f5|=9.7426 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f1 is a focal length of the first lens  310 ; f2 is a focal length of the second lens  320 ; f3 is a focal length of the third lens  330 ; and f4 is a focal length of the fourth lens  340 ; and f5 is a focal length of the fifth lens  350 . 
     The optical image capturing system of the third preferred embodiment further satisfies TP4=0.65276 mm and TP5=0.42186 mm, where TP4 is a thickness of the fourth lens  340  on the optical axis, and TP5 is a thickness of the fifth lens  350  on the optical axis. 
     In the third embodiment, the first, the third, and the fourth lenses  310 ,  330 , and  340  are positive lenses, and their focal lengths are f1, f3, and f4. ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  310  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
     In the third embodiment, the second and the fifth lenses  320  and  350  are negative lenses, and their focal lengths are f2 and f5. ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  350  to the other negative lenses. 
     The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6. 
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 f = 2.39718 mm; f/HEP = 1.8; HAF = 49.9999 deg; tan(HAF) = 1.1917 
               
             
          
           
               
                   
                 Radius of curvature  
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface  
                 (mm) 
                 (mm) 
                 Material 
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 infinity 
                 −0.06992 
                   
                   
                   
                   
               
               
                 2 
                 1 st  lens 
                 2.18692 
                 0.314904 
                 plastic 
                 1.565 
                 54.5 
                 5.90219 
               
               
                 3 
                   
                 5.98456 
                 0.303361 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens  
                 3.51198 
                 0.2 
                 plastic 
                 1.65 
                 21.4 
                 −12.1643 
               
               
                 5 
                   
                 2.38309  
                 0.090275 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 5.58675  
                 0.577767  
                 plastic 
                 1.565 
                 58 
                 10.1444 
               
               
                 7 
                   
                 189.7979  
                 0.215695 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −2.45147  
                 0.652764 
                 plastic 
                 1.565 
                 58 
                 2.20772 
               
               
                 9 
                   
                 −0.90824 
                 0.05 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 1.01186 
                 0.42186 
                 plastic 
                 1.65 
                 21.4 
                 −3.84036 
               
               
                 11 
                   
                 0.60259 
                 0.7 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 infinity 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 infinity 
                 0.330499 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 infinity 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 6 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −26.350272 
                 −17.489157 
                 13.01426 
                 −19.801732 
                 −1.734065 
               
               
                 A4 
                 2.67349E−01 
                 −4.57997E−02 
                 −2.56216E−01 
                 −3.52362E−02 
                 −1.37493E−01 
               
               
                 A6 
                 −5.53953E−01 
                 −2.34781E−01 
                 −2.48564E−02 
                 2.92150E−03 
                 1.89278E−01 
               
               
                 A8 
                 6.98444E−01 
                 5.43736E−01 
                 −1.97287E−01  
                 −1.26932E−01 
                 −1.31261E−01 
               
               
                 A10 
                 −5.43333E−01 
                 −1.04531E+00 
                 −8.38614E−02 
                 1.17150E−01 
                 4.75596E−02 
               
               
                 A12 
                 −2.63851E−06 
                 5.62774E−01 
                 −1.37194E−02 
                 −2.85024E−02 
                 −4.31527E−03 
               
               
                 A14 
                 −3.44067E−06  
                 −2.62499E−07 
                 1.17763E−04 
                 −6.03729E−03 
                 −1.65061E−03 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −50 
                 −28.152217 
                 −2.25509 
                 −4.731395 
                 −3.136571 
               
               
                 A4 
                 −4.38314E−02  
                 −1.97259E−02 
                 −5.95402E−02 
                 −6.84783E−02 
                 −6.57360E−02 
               
               
                 A6 
                 −2.41933E−02  
                 −3.56832E−02 
                 −1.89971E−03  
                 −1.11597E−02 
                 8.04560E−03 
               
               
                 A8 
                 2.63258E−02 
                 2.80783E−02 
                 −1.21582E−02 
                 1.53746E−03 
                 −5.32614E−04 
               
               
                 A10 
                 −4.45962E−03 
                 7.65190E−03 
                 −6.63077E−04  
                 −4.76961E−03 
                 2.86538E−05 
               
               
                 A12 
                 −2.92652E−02  
                 −2.61612E−02 
                 9.30398E−03 
                 3.96073E−03 
                 3.05329E−06 
               
               
                 A14 
                 1.17027E−02 
                 5.96716E−03 
                 −1.90606E−03 
                 −8.40673E−04 
                 −3.06993E−06 
               
               
                   
               
             
          
         
       
     
     An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.10224 
                 −0.00856 
                 −0.10343 
                 0.02852 
                 0.08127 
                 −0.29656 
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 HVT51 
                 HVT52 
               
               
                 −0.40613 
                 −0.83998 
                 −0.20093 
                 −0.00528 
                 1.10115 
                 1.58245 
               
               
                 |ODT|% 
                 |TDT|% 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
                   
               
               
                 2.02923 
                 1.03913 
                 0.89399 
                 1.17890 
                 2.07289 
                   
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + 
                 (|InRS42| + 
               
               
                 InTL 
                 HOS 
                 |InRS41|)/IN34 
                 |InRS51|)/IN45 
               
               
                 0.73334 
                 0.51093 
                 3.2578 
                 20.8181 
               
             
          
           
               
                 (|InRS41| + |InRS42| + 
                 (|InRS41| + |InRS42| + 
               
               
                 |InRS51| + |InRS52|)/ 
                 |InRS51| + |InRS52|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.51380 
                 0.35797 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.40615 
                 0.19707 
                 0.23631 
                 1.08582 
                 0.62421 
                 0.48521 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/ 
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
               
               
                   
                   
                 |ΣNPR| 
                   
                   
                   
               
               
                 1.72827 
                 0.82127 
                 2.10438 
                 18.25431 
                 −16.00466 
                 0.32333 
               
               
                 f5/ΣNP 
                 IN12/f 
                 HVT52/ 
                 HVT52/ 
                 |InRS51|/ 
                 |InRS52|/ 
               
               
                   
                   
                 HOI 
                 HOS 
                 TP5 
                 TP5 
               
               
                 0.23995 
                 0.12655 
                 0.53944 
                 0.39004 
                 0.4763 
                 0.0125 
               
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                 4.05712 
                 2.82663 
                 1.38303 
                 0.98277 
                 0.69671 
                 0.76674 
               
               
                 HVT41 
                 HVT42 
                   
                   
                   
                   
               
               
                 0 
                 0 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Third embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 0.62397 
                 HIF111/ 
                 0.21271 
                 SGI111 
                 0.08375 
                 |SGI111I/ 
                 0.21009 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI111| + TP1) 
                   
               
               
                 HIF121 
                 0.36506 
                 HIF121/ 
                 0.12444 
                 SGI121 
                 0.00973 
                 |SGI121|/ 
                 0.02997 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI121| + TP1) 
                   
               
               
                 HIF211 
                 0.32389 
                 HIF211/ 
                 0.11041 
                 SGI211 
                 0.01254 
                 |SGI211|/ 
                 0.05898 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI211| + TP2) 
                   
               
               
                 HIF221 
                 0.49738 
                 HIF221/ 
                 0.16955 
                 SGI221 
                 0.04171 
                 |SGI221|/ 
                 0.17257 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI221| + TP2) 
                   
               
               
                 HIF311 
                 1.17242 
                 HIF311/ 
                 0.39967 
                 SGI311 
                 0.07422 
                 |SGI311|/ 
                 0.11383 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI311| + TP3) 
                   
               
               
                 HIF321 
                 0.09944 
                 HIF321/ 
                 0.03390 
                 SGI321 
                 0.00002 
                 |SGI321|/ 
                 0.00004 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI321| + TP3) 
                   
               
               
                 HIF421 
                 1.14184 
                 HIF421/ 
                 0.38924 
                 SGI421 
                 −0.63590 
                 |SGI421|/ 
                 0.49346 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI421| + TP4) 
                   
               
               
                 HIF511 
                 0.57187 
                 HIF511/ 
                 0.19494 
                 SGI511 
                 0.12259 
                 |SGI511|/ 
                 0.22516 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI511| + TP5) 
                   
               
               
                 HIF521 
                 0.62731 
                 HIF521/ 
                 0.21384 
                 SGI521 
                 0.22180 
                 |SGI521|/ 
                 0.34460 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI521| + TP5) 
               
               
                   
               
             
          
         
       
     
     Fourth Embodiment 
     As shown in  FIG. 4A  and  FIG. 4B , an optical image capturing system of the fourth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  400 , a first lens  410 , a second lens  420 , a third lens  430 , a fourth lens  440 , a fifth lens  450 , an infrared rays filter  470 , an image plane  480 , and an image sensor  490 . 
     The first lens  410  has positive refractive power, and is made of plastic. An object-side surface  412  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  414  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  412  and the image-side surface  414  each has an inflection point. 
     The second lens  420  has negative refractive power, and is made of plastic. An object-side surface  422  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  424  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  422  and the image-side surface  424  each has an inflection point. 
     The third lens  430  has positive refractive power, and is made of plastic. An object-side surface  432  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  434  thereof, which faces the image side, is a concave aspheric surfaces. The object-side surface  432  has two inflection points, and the image-side surface  434  has an inflection point. 
     The fourth lens  440  has positive refractive power, and is made of plastic. An object-side surface  442 , which faces the object side, is a convex aspheric surface, and an image-side surface  444 , which faces the image side, is a convex aspheric surface. The object-side surface  442  and the image-side surface  444  each has an inflection point. 
     The fifth lens  450  has negative refractive power, and is made of plastic. An object-side surface  452  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  454  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  452  and the image-side surface  454  each has an inflection point. 
     The infrared rays filter  470  is made of glass, and between the fifth lens  450  and the image plane  480 . The infrared rays filter  470  gives no contribution to the focal length of the system. 
     The optical image capturing system of the fourth preferred embodiment has the following parameters, which are |f2|+|f3|+|f4|=39.4651 mm; |f1|+|f5|=5.3625 mm; and |f2+|f3|+|f4|&gt;|f1+|f5|, where f1 is a focal length of the first lens  410 ; f2 is a focal length of the second lens  420 ; f3 is a focal length of the third lens  430 ; f4 is a focal length of the fourth lens  440 ; and f5 is a focal length of the fifth lens  450 . 
     The optical image capturing system of the fourth preferred embodiment further satisfies TP4=0.60395 mm and TP5=0.26344 mm, where TP4 is a thickness of the fourth lens  340  on the optical axis, and TP5 is a thickness of the fifth lens  350  on the optical axis. 
     In the fourth embodiment, the first, the third, and the fourth lenses  410 ,  430 , and  440  are positive lenses, and their focal lengths are f1, f3, and f4. ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  410  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
     In the fourth embodiment, the second and the fifth lenses  420  and  450  are negative lenses, and their focal lengths are f2 and f5. ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  450  to the other negative lenses. 
     The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8. 
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 7 
               
             
             
               
                   
               
               
                 f = 2.91605 mm; f/HEP = 2.0; HAF = 45 deg; tan(HAF) = 1.0 
               
             
          
           
               
                   
                 Radius of curvature  
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 infinity 
                 −0.14708 
                   
                   
                   
                   
               
               
                 2 
                 1 st  lens 
                 1.69124 
                 0.41499 
                 plastic 
                 1.565 
                 58 
                 3.86627 
               
               
                 3 
                   
                 6.75306 
                 0.453858 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens  
                 −2.46628 
                 0.2 
                 plastic 
                 1.65 
                 21.4 
                 −7.7817 
               
               
                 5 
                   
                 −4.9287 
                 0.05 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 11.87603 
                 0.706503 
                 plastic 
                 1.565 
                 58 
                 30.0348 
               
               
                 7 
                   
                 38.43269 
                 0.267755 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 2.8635 
                 0.603949 
                 plastic 
                 1.583 
                 30.2 
                 1.6486 
               
               
                 9 
                   
                 −1.34596 
                 0.354493 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −1.67479 
                 0.263444 
                 plastic 
                 1.607 
                 26.6 
                 −1.49619 
               
               
                 11 
                   
                 2.13382 
                 0.4 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 infinity 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 infinity 
                 0.269666 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 infinity 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555 nm. 
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 8 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −4.473104 
                 24.458806 
                 −0.137984 
                 18.217521 
                 −50 
               
               
                 A4 
                 1.01096E−01 
                 −2.80985E−02 
                 −1.07115E−01 
                 −2.22862E−02 
                 −6.82118E−02 
               
               
                 A6 
                 5.76964E−03  
                 −2.20494E−01 
                 6.94897E−02 
                 7.00150E−02 
                 2.95183E−02 
               
               
                 A8 
                 −2.21606E−01 
                 5.06050E−01 
                 −4.39580E−01 
                 −3.92556E−02 
                 −7.28288E−03 
               
               
                 A10 
                 3.36469E−01  
                 −9.75936E−01 
                 7.54623E−01 
                 6.25378E−02 
                 1.15888E−03 
               
               
                 A12 
                 −2.97105E−01 
                 5.48066E−01 
                 −6.63314E−01 
                 5.53065E−02 
                 −1.90415E−02 
               
               
                 A14 
                 3.15471E−08  
                 −2.84479E−07 
                 3.85196E−01 
                 −3.63798E−02 
                 1.25974E−02 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −50 
                 −29.02954 
                 −2.773164 
                 −0.245173 
                 −10.765583 
               
               
                 A4 
                 −1.96057E−01 
                 −5.75654E−02 
                 −4.65861E−03 
                 4.37253E−02 
                 −3.32128E−02 
               
               
                 A6 
                 5.87036E−02  
                 −3.13976E−02 
                 1.19570E−03 
                 5.76501E−03 
                 5.08087E−03 
               
               
                 A8 
                 −3.46701E−02 
                 8.05427E−03 
                 2.63363E−03 
                 −2.02257E−03 
                 −7.66976E−04 
               
               
                 A10 
                 2.23303E−03 
                 1.20769E−03 
                 4.55600E−04 
                 −4.39056E−04 
                 7.08598E−06 
               
               
                 A12 
                 8.35114E−03 
                 3.91485E−04 
                 −8.89822E−06 
                 1.41597E−04 
                 3.37343E−06 
               
               
                 A14 
                 −4.19138E−03  
                 −2.91504E−04 
                 −5.74697E−05 
                 5.18647E−05 
                 −6.48571E−07 
               
               
                   
               
             
          
         
       
     
     An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.16329 
                 −0.00147 
                 −0.21653 
                 −0.05165 
                 −0.02903 
                 −0.50005 
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 HVT51 
                 HVT52 
               
               
                 −0.22627 
                 −0.56060 
                 −0.79034 
                 −0.34666 
                 0.00000 
                 1.45100 
               
               
                 |ODT|% 
                 |TDT|% 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
                   
               
               
                 0.82693 
                 1.01512 
                 1.42546 
                 1.46042 
                 2.88588 
                   
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + |InRS41|)/ 
                 (|InRS42| + |InRS51|)/ 
               
               
                 InTL 
                 HOS 
                 IN34 
                 IN45 
               
               
                 0.87056 
                 0.68963 
                 2.7126 
                 3.8109 
               
             
          
           
               
                 (|InRS41| + |InRS42| +  
                 (|InRS41| + |InRS42| +  
               
               
                 |InRS51| + |InRS52|)/ 
                 |InRS51| + |InRS52|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.58036 
                 0.45974 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.75423 
                 0.37473 
                 0.09709 
                 1.76880 
                 1.94898 
                 0.49684 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/ 
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
               
               
                   
                   
                 |ΣNPR| 
                   
                   
                   
               
               
                 2.62012 
                 2.32372 
                 1.12756 
                 35.54967 
                 −9.27789 
                 0.10876 
               
               
                 f5/ΣNP 
                 IN12/f 
                 HVT52/ 
                 HVT52/ 
                 |InRS51|/ 
                 |InRS52|/ 
               
               
                   
                   
                 HOI 
                 HOS 
                 TP5 
                 TP5 
               
               
                 0.16126 
                 0.15564 
                 0.49463 
                 0.34674 
                 3.0000 
                 1.3159 
               
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                 4.18466 
                 3.31499 
                 1.42651 
                 0.96485 
                 0.79218 
                 0.66030 
               
               
                 HVT41 
                 HVT42 
                   
                   
                   
                   
               
               
                 0.787242 
                 0 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 0.71414 
                 HIF111/ 
                 0.24344 
                 SGI111 
                 0.15115 
                 |SGI111|/ 
                 0.26698 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI111| + TP1) 
                   
               
               
                 HIF121 
                 0.41201 
                 HIF121/ 
                 0.14045 
                 SGI121 
                 0.01129 
                 |SGI121|/ 
                 0.02648 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI121| + TP1) 
                   
               
               
                 HIF211 
                 0.80340 
                 HIF211 
                 0.27387 
                 SGI211 
                 −0.18168 
                 |SGI211|/ 
                 0.47599 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI211| + TP2) 
                   
               
               
                 HIF221 
                 0.66346 
                 HIF221/ 
                 0.22617 
                 SGI221 
                 −0.04792 
                 |SGI221|/ 
                 0.19328 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI221| + TP2) 
                   
               
               
                 HIF311  
                 0.33103 
                 HIF311/ 
                 0.11285 
                 SGI311 
                 0.00379 
                 |SGI311|/ 
                 0.00533 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI311| + TP3) 
                   
               
               
                 HIF312 
                 1.06477 
                 HIF312/ 
                 0.36297 
                 SGI312 
                 −0.02085 
                 |SGI312|/ 
                 0.02867 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI312| + TP3) 
                   
               
               
                 HIF321  
                 0.10561 
                 HIF321/ 
                 0.03600 
                 SGI321 
                 0.00012 
                 |SGI321|/ 
                 0.00017 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI321| + TP3) 
                   
               
               
                 HIF411 
                 0.43800 
                 HIF411/ 
                 0.14931 
                 SGI411 
                 0.02697 
                 |SGI411|/ 
                 0.04274 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI411| + TP4) 
                   
               
               
                 HIF421 
                 1.06551 
                 HIF421/ 
                 0.36322 
                 SGI421 
                 −0.34304 
                 |SGI421|/ 
                 0.36225 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI421| + TP4) 
                   
               
               
                 HIF511  
                 1.57813 
                 HIF511/ 
                 0.53797 
                 SGI511 
                 −0.63960 
                 |SGI511|/ 
                 0.70827 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI511| + TP5) 
                   
               
               
                 HIF521 
                 0.69444 
                 HIF521/ 
                 0.23673 
                 SGI521 
                 0.08595 
                 |SGI521|/ 
                 0.24600 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI521| + TP5) 
               
               
                   
               
             
          
         
       
     
     Fifth Embodiment 
     As shown in  FIG. 5A  and  FIG. 5B , an optical image capturing system of the fifth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  500 , a first lens  510 , a second lens  520 , a third lens  530 , a fourth lens  540 , a fifth lens  550 , an infrared rays filter  570 , an image plane  580 , and an image sensor  590 . 
     The first lens  510  has positive refractive power, and is made of plastic. An object-side surface  512  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  514  thereof, which faces the image side, is a concave aspheric surface. The image-side surface  5142  has an inflection point. 
     The second lens  520  has negative refractive power, and is made of plastic. An object-side surface  522  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  524  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  522  and the image-side surface  524  each has an inflection point. 
     The third lens  530  has positive refractive power, and is made of plastic. An object-side surface  532  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  534  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  532  has two inflection points. 
     The fourth lens  540  has a positive refractive power, and is made of plastic. An object-side surface  542 , which faces the object side, is a concave aspheric surface, and an image-side surface  544 , which faces the image side, is a convex aspheric surface. The the image-side surface  544  has an inflection point. 
     The fifth lens  550  has negative refractive power, and is made of plastic. An object-side surface  552  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  554  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  552  and the image-side surface  554  each has an inflection point. 
     The infrared rays filter  570  is made of glass, and between the fifth lens  550  and the image plane  580 . The infrared rays filter  570  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the fifth preferred embodiment are |f2|+|f3|+|f4|=23.0849 mm; |f1|+|f5|=6.6911 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f1 is a focal length of the first lens  510 ; f2 is a focal length of the second lens  520 ; f3 is a focal length of the third lens  530 ; and f4 is a focal length of the fourth lens  540 ; and f5 is a focal length of the fifth lens  550 . 
     The optical image capturing system of the fifth preferred embodiment further satisfies TP4=0.32126 mm and TP5=0.70101 mm, where TP4 is a thickness of the fourth lens  540  on the optical axis, and TP5 is a thickness of the fifth lens  550  on the optical axis. 
     In the fifth preferred embodiment, the first, the third, and the fourth lenses  510 ,  530 , and  540  are positive lenses, and their focal lengths are f1, f3, and f4. ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens  510  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
     In the fifth preferred embodiment, the second and the fifth lenses  520  and  550  are negative lenses, and their focal lengths are f2 and f5. ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  550  to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10. 
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 9 
               
             
             
               
                   
               
               
                 f = 3.67459 mm; f/HEP = 2.0; HAF = 38 deg; tan(HAF) = 0.7813 
               
             
          
           
               
                   
                 Radius of curvature  
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 infinity 
                 −0.34879 
                   
                   
                   
                   
               
               
                 2 
                 1 st  lens 
                 1.43216 
                 0.450229 
                 plastic 
                 1.565 
                 58 
                 4.05701 
               
               
                 3 
                   
                 3.36533 
                 0.407684 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens  
                 2.92369 
                 0.2 
                 plastic 
                 1.65 
                 21.4 
                 −13.8171 
               
               
                 5 
                   
                 2.15031 
                 0.158125 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −7.11521 
                 0.399858 
                 plastic 
                 1.565 
                 58 
                 5.4417 
               
               
                 7 
                   
                 −2.19533 
                 0.353613 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −1.08928 
                 0.321259 
                 plastic 
                 1.65 
                 21.4 
                 3.82609 
               
               
                 9 
                   
                 −0.8481 
                 0.051529 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −21.7646 
                 0.701014 
                 plastic 
                 1.583 
                 30.2 
                 −2.63409 
               
               
                 11 
                   
                 1.68269 
                 0.4 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 infinity 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 infinity 
                 0.806688 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 infinity 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
               
               
                   
               
               
                 Reference wavelength: 555 nm 
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 10 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −1.067567 
                 2.712622 
                 3.652068 
                 −8.310812 
                 50 
               
               
                 A4 
                 4.73563E−02  
                 −2.46026E−02 
                 −2.72545E−01 
                 −8.16290E−02 
                 3.33527E−02 
               
               
                 A6 
                 3.49883E−02 
                 −5.92297E−03 
                 −1.63795E−01 
                 −1.76397E−01 
                 7.61744E−02 
               
               
                 A8 
                 −2.34271E−02 
                 1.42541E−02 
                 1.34716E−01 
                 2.53267E−01 
                 1.51809E−01 
               
               
                 A10 
                 3.92453E−02 
                 9.64446E−03 
                 −2.70613E−02  
                 −1.52742E−01 
                 −3.81139E−01 
               
               
                 A12 
                 −9.50716E−03 
                 −2.54711E−02 
                 2.99583E−03 
                 4.07905E−02 
                 2.54669E−01 
               
               
                 A14 
                 −2.01834E−04 
                 −1.25184E−03 
                 −6.26588E−03 
                 −3.85391E−03 
                 −5.46628E−02 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −7.670413 
                 −1.402178 
                 −2.309436 
                 50 
                 −16.040482 
               
               
                 A4 
                 −1.14455E−01 
                 −2.37616E−02 
                 −4.59722E−02  
                 −7.80117E−02 
                 −7.52589E−02 
               
               
                 A6 
                 1.41057E−01  
                 3.05639E−01  
                 7.32103E−02 
                 −3.56839E−02 
                 1.72118E−02 
               
               
                 A8 
                 7.18175E−02 
                 −2.64420E−01 
                 2.48680E−02  
                 1.26627E−02  
                 −4.61544E−03 
               
               
                 A10 
                 −1.71726E−01 
                 8.70070E−02 
                 −1.36417E−02 
                 4.43197E−03 
                 2.67273E−04 
               
               
                 A12 
                 1.50433E−02 
                 −2.06385E−02 
                 −1.20705E−02  
                 −3.24261E−04  
                 1.19915E−04 
               
               
                 A14 
                 2.88146E−02 
                 −1.35150E−02 
                 5.30182E−03 
                 −2.65800E−04 
                 −2.55056E−05 
               
               
                   
               
             
          
         
       
     
     An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.34879 
                 0.11280 
                 −0.06034 
                 0.06207 
                 −0.04296 
                 −0.24282 
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 HVT51 
                 HVT52 
               
               
                 −0.47045 
                 −0.49646 
                 −0.42121 
                 −0.62235 
                 0.00000 
                 1.00976 
               
               
                 |ODT|% 
                 |TDT|% 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
                   
               
               
                 2.00001 
                 1.00379 
                 1.34375 
                 1.53649 
                 2.88024 
                   
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + 
                 (|InRS42| + 
               
               
                 InTL 
                 HOS 
                 |InRS41|)/IN34 
                 |InRS51|)/IN45 
               
               
                 0.94642 
                 0.64725 
                 2.0171 
                 17.8087 
               
             
          
           
               
                 (|InRS41| + |InRS42| + 
                 (|InRS41| + |InRS42| + 
               
               
                 |InRS51| + |InRS52|)/ 
                 |InRS51| + |InRS52|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.66062 
                 0.45179 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.90574 
                 0.26595 
                 0.67527 
                 0.96040 
                 1.39501 
                 0.29362 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/ 
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
               
               
                   
                   
                 |ΣNPR| 
                   
                   
                   
               
               
                 2.54141 
                 1.66096 
                 1.53008 
                 13.32480 
                 −16.45119 
                 0.30447 
               
               
                 f5/ΣNP 
                 IN12/f 
                 HVT52/ 
                 HVT52/ 
                 |InRS51|/ 
                 |InRS52|/ 
               
               
                   
                   
                 HOI 
                 HOS 
                 TP5 
                 TP5 
               
               
                 0.16012 
                 0.11095 
                 0.34422 
                 0.22691 
                 0.6009 
                 0.8878 
               
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                 4.45000 
                 3.04331 
                 1.51696 
                 0.92162 
                 0.68389 
                 0.68096 
               
               
                 HVT41 
                 HVT42 
                   
                   
                   
                   
               
               
                 0 
                 0 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fifth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF121 
                 0.84595 
                 HIF121/ 
                 0.28838 
                 SGI121 
                 0.10066 
                 |SGI121|/ 
                 0.18272 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI121| + TP1) 
                   
               
               
                 HIF211 
                 0.31754 
                 HIF211 
                 0.10825 
                 SGI211 
                 0.01456 
                 |SGI211|/ 
                 0.06787 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI211| + TP2) 
                   
               
               
                 HIF221 
                 0.44415 
                 HIF221/ 
                 0.151440 
                 SGI221 
                 0.03857 
                 |SGI221|/ 
                 0.16167 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI221| + TP2) 
                   
               
               
                 HIF311  
                 0.44949 
                 HIF311/ 
                 0.15323 
                 SGI311 
                 −0.01287 
                 |SGI311|/ 
                 0.03119 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI311| + TP3) 
                   
               
               
                 HIF312 
                 0.78447 
                 HIF312/ 
                 0.26742 
                 SGI312 
                 −0.02298 
                 |SGI312|/ 
                 0.05435 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI312| + TP3) 
                   
               
               
                 HIF421 
                 0.73879 
                 HIF421/ 
                 0.25185 
                 SGI421 
                 −0.26731 
                 |SGI421|/ 
                 0.45417 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI421| + TP4) 
                   
               
               
                 HIF511  
                 1.26997 
                 HIF511/ 
                 0.43292 
                 SGI511 
                 −0.27066 
                 |SGI511|/ 
                 0.27855 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI511| + TP5) 
                   
               
               
                 HIF521 
                 0.47646 
                 HIF521/ 
                 0.16242 
                 SGI521 
                 0.05060 
                 |SGI521|/ 
                 0.06732 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI521| + TP5) 
               
               
                   
               
             
          
         
       
     
     Sixth Embodiment 
     As shown in  FIG. 6A  and  FIG. 6B , an optical image capturing system of the sixth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens  610 , an aperture  600 , a second lens  620 , a third lens  630 , a fourth lens  640 , a fifth lens  650 , an infrared rays filter  670 , an image plane  680 , and an image sensor  690 . 
     The first lens  610  has negative refractive power, and is made of plastic. An object-side surface  612  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  614  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  612  has an inflection point. 
     The second lens  620  has positive refractive power, and is made of plastic. An object-side surface  622  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  624  thereof, which faces the image side, is a convex aspheric surface. 
     The third lens  630  has positive refractive power, and is made of plastic. An object-side surface  632  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  634  thereof, which faces the image side, is a convex aspheric surface. The image-side surface  634  has an inflection point. 
     The fourth lens  640  has a positive refractive power, and is made of plastic. An object-side surface  642 , which faces the object side, is a concave aspheric surface, and an image-side surface  644 , which faces the image side, is a convex aspheric surface. 
     The fifth lens  650  has negative refractive power, and is made of plastic. An object-side surface  652  thereof, which faces the object side, is a concave aspheric surface, and an image-side surface  654  thereof, which faces the image side, is a convex aspheric surface. The image-side surface  654  has an inflection point. 
     The infrared rays filter  670  is made of glass, and between the fifth lens  650  and the image plane  680 . The infrared rays filter  670  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the sixth preferred embodiment are |f2|+|f3|+|f4|=33.5491 mm; |f1|+|f5|=10.9113 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f1 is a focal length of the first lens  610 ; f2 is a focal length of the second lens  620 ; f3 is a focal length of the third lens  630 ; and f4 is a focal length of the fourth lens  640 ; and f5 is a focal length of the fifth lens  650 . 
     The optical image capturing system of the sixth preferred embodiment further satisfies TP4=1.1936 mm and TP5=0.4938 mm, where TP4 is a thickness of the fourth lens  640  on the optical axis, and TP5 is a thickness of the fifth lens  650  on the optical axis. 
     In the sixth preferred embodiment, the second, the third, and the fourth lenses  620 ,  630 , and  640  are positive lenses, and their focal lengths are f2, f3, and f4. The optical image capturing system of the sixth preferred embodiment further satisfies ΣPP=f2+f3+f4=33.5491 mm and f2/(f2+f3+f4), 0.1012, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the second lens  620  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
     In the sixth preferred embodiment, the first and the fifth lenses  610  and  650  are negative lenses, and their focal lengths are f2 and f4. The optical image capturing system of the sixth preferred embodiment further satisfies ΣNP=f1+f5=−10.9113 mm; and f5/(f1+f5)=0.3956, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  650  to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12. 
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 11 
               
             
             
               
                   
               
               
                 f = 3.06009 mm; f/HEP = 2.0; HAF = 50.0007 deg; tan(HAF) = 1.1918 
               
             
          
           
               
                   
                 Radius of curvature  
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 3.50904 
                 0.796742 
                 plastic 
                 1.514 
                 56.8 
                 −6.5946 
               
               
                 2 
                 1 st  lens 
                 1.59356 
                 4.172675 
                   
                   
                   
                   
               
               
                 3 
                   
                 infinity  
                 −0.36597 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens  
                 2.36495 
                 0.703695 
                 plastic 
                 1.565 
                 58 
                 3.39442 
               
               
                 5 
                   
                 −9.20538 
                 0.766828 
                   
                   
                   
                   
               
               
                 6 
                 3 rd  lens 
                 −3.96665 
                 0.773956 
                 plastic 
                 1.565 
                 58 
                 26.056 
               
               
                 7 
                   
                 −3.3475 
                 0.128823 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −19.1128 
                 1.193613 
                 plastic 
                 1.565 
                 58 
                 4.09863 
               
               
                 9 
                   
                 −2.11807 
                 0.384924 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 −1.36773 
                 0.49381 
                 plastic 
                 1.65 
                 21.4 
                 −4.31667 
               
               
                 11 
                   
                 −3.02608 
                 0.1 
                   
                   
                   
                   
               
               
                 12 
                 Filter 
                 infinity 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 infinity  
                 1.623541 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 infinity  
                 0.027363 
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555nm 
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 12 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 1 
                 2 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −0.364446 
                 −0.797073 
                 −0.976489 
                 45.184506 
                 −4.955335 
               
               
                 A4 
                 3.03151E−03 
                 2.47474E−02  
                 1.19749E−02 
                 1.53107E−02 
                 −3.15766E−02 
               
               
                 A6 
                 3.11535E−04  
                 1.09227E−03  
                 3.29173E−03 
                 −8.86750E−03 
                 −7.36452E−03 
               
               
                 A8 
                 6.03641E−06 
                 2.11777E−03 
                 −1.41246E−03  
                 1.63700E−02 
                 9.93051E−03 
               
               
                 A10 
                 −1.90703E−05 
                 −1.38673E−04 
                 2.09487E−03  
                 −9.72154E−03 
                 −1.85429E−02 
               
               
                 A12 
                 1.68207E−06 
                 −2.43097E−05 
                 −1.07114E−03  
                 1.55553E−03 
                 8.34169E−03 
               
               
                 A14 
                 −4.42840E−08 
                 5.42793E−07  
                 4.80842E−05 
                 4.47459E−04 
                 −9.07537E−04 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 −4.26661 
                 −17.215386 
                 0.01572 
                 −0.56999 
                 −1.957095 
               
               
                 A4 
                 −2.02516E−02 
                 −2.81080E−02  
                 1.04073E−02 
                 2.87988E−02 
                 4.78950E−03 
               
               
                 A6 
                 −1.45844E−02 
                 1.26828E−02  
                 4.37395E−04  
                 −1.68233E−04 
                 −4.65598E−04 
               
               
                 A8 
                 1.47638E−02 
                 −2.57367E−02 
                 −8.83115E−04 
                 −1.52077E−04  
                 1.47492E−04 
               
               
                 A10 
                 −8.52821E−03  
                 1.81999E−02  
                 −2.21655E−04 
                 2.58158E−05 
                 −1.37919E−05 
               
               
                 A12 
                 −3.64995E−05 
                 −8.19803E−03 
                 −4.19162E−05 
                 −6.96422E−06  
                 1.27305E−06 
               
               
                 A14 
                 8.24445E−04  
                 1.22153E−03 
                 5.89942E−06 
                 1.05801E−05 
                 −1.66946E−07 
               
               
                   
               
             
          
         
       
     
     An equation of the aspheric surfaces of the sixth embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 Sixth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 1.85151 
                 2.39057 
                 0.36630 
                 −0.08200 
                 −0.32310 
                 −0.42687 
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 |InRS51|/TP 
                 |InRS52|/TP 
               
               
                   
                   
                   
                   
                 5 
                 5 
               
               
                 −0.37068 
                 −1.05112 
                 −1.19340 
                 −0.63635 
                 2.4167 
                 1.2887 
               
               
                 |ODT|% 
                 |TDT|% 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
                   
               
               
                 1.99808 
                 0.23490 
                 4.10499 
                 4.58691 
                 8.69190 
                   
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + 
                 (|InRS42| + 
               
               
                 InTL 
                 HOS 
                 |InRS41|)/IN34 
                 |InRS51|)/IN45 
               
               
                 0.96053 
                 0.79017 
                 6.19108 
                 5.83107 
               
             
          
           
               
                 (|InRS31| + |InRS32| +  
                 (|InRS31| + |InRS32| + 
               
               
                 |InRS41| + |InRS42|)/ 
                 |InRS41| + |InRS42|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.35932 
                 0.29560 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.46403 
                 0.90151 
                 0.11744 
                 0.74661 
                 0.70890 
                 1.94278 
               
               
                 ΣPPR  
                 ΣNPR 
                 ΣPPR/ 
                 ΣPP 
                 ΣNP 
                 IN12/f 
               
               
                   
                   
                 |ΣNPR| 
                   
                   
                   
               
               
                 1.76556 
                 1.17293 
                 1.50526 
                 33.54905 
                 −10.91127 
                 1.24399 
               
               
                 f1/ΣPP 
                 f5/ΣNP 
                 HVT51 
                 HVT52 
                 HVT52/ 
                 HVT52/ 
               
               
                   
                   
                   
                   
                 HOI 
                 HOS 
               
               
                 0.10118 
                 0.39562 
                 0.00000 
                 0.00000 
                 0.00000 
                 0.00000 
               
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                 11.00000 
                 9.04910 
                 2.94118 
                 0.54823 
                 0.82265 
                 0.43781 
               
               
                 HVT41 
                 HVT42 
                   
                   
                   
                   
               
               
                 0 
                 0 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 2.68797 
                 HIF111/ 
                 0.718709 
                 SGI111 
                 1.25958 
                 |SGI111|/ 
                 0.61254 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI111| + TP1) 
                   
               
               
                 HIF321  
                 1.35714 
                 HIF321/ 
                 0.362872 
                 SGI321 
                 −0.35849 
                 |SGI321|/ 
                 0.316563 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI321| + TP3) 
                   
               
               
                 HIF521 
                 1.81195 
                 HIF521/ 
                 0.484479 
                 SGI521 
                 −0.454608 
                 |SGI521|/ 
                 0.47933 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI521| + TP5) 
               
               
                   
               
             
          
         
       
     
     Seventh Embodiment 
     As shown in  FIG. 7A  and  FIG. 7B , an optical image capturing system of the seventh preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture  700 , a first lens  710 , a second lens  720 , a third lens  730 , a fourth lens  740 , a fifth lens  750 , an infrared rays filter  770 , an image plane  780 , and an image sensor  790 . 
     The first lens  710  has positive refractive power, and is made of plastic. An object-side surface  712  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  714  thereof, which faces the image side, is a concave aspheric surface, and the object-side surface  712  has an inflection point. The object-side surface  712  and the image-side surface  714  each has an inflection point. 
     The second lens  720  has negative refractive power, and is made of plastic. An object-side surface  722  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  724  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  722  and the image-side surface  724  each has an inflection point. 
     The third lens  730  has positive refractive power, and is made of plastic. An object-side surface  732  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  734  thereof, which faces the image side, is a convex aspheric surface. The object-side surface  732  has two inflection points, and the image-side surface  734  has an inflection point. 
     The fourth lens  740  has a positive refractive power, and is made of plastic. An object-side surface  742 , which faces the object side, is a concave aspheric surface, and an image-side surface  744 , which faces the image side, is a convex aspheric surface. The object-side surface  742  and the image-side surface  744  each has an inflection point. 
     The fifth lens  750  has negative refractive power, and is made of plastic. An object-side surface  752  thereof, which faces the object side, is a convex aspheric surface, and an image-side surface  754  thereof, which faces the image side, is a concave aspheric surface. The object-side surface  752  and the image-side surface  754  each has an inflection point. 
     The infrared rays filter  770  is made of glass, and between the fifth lens  750  and the image plane  780 . The infrared rays filter  770  gives no contribution to the focal length of the system. 
     The parameters of the lenses of the seventh preferred embodiment are |f2|+|f3|+|f4|=18.2082 mm; |f1|+|f5|=10.7453 mm; and |f2|+|f3|+|f4|&gt;|f1|+|f5|, where f1 is a focal length of the first lens  710 ; f2 is a focal length of the second lens  720 ; f3 is a focal length of the third lens  730 ; and f4 is a focal length of the fourth lens  740 ; and f5 is a focal length of the fifth lens  750 . 
     The optical image capturing system of the seventh preferred embodiment further satisfies TP4=0.59999 mm and TP5=0.38606 mm, where TP4 is a thickness of the fourth lens  740  on the optical axis, and TP5 is a thickness of the fifth lens  750  on the optical axis. 
     In the seventh preferred embodiment, the second, the third, and the fourth lenses  720 ,  730 , and  740  are positive lenses, and their focal lengths are f2, f3, and f4. The optical image capturing system of the seventh preferred embodiment further satisfies ΣPP=f2+f3+f4=33.5491 mm and f2/(f2+f3+f4)=0.1014, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the second lens  720  to the other positive lenses to avoid the significant aberration caused by the incident rays. 
     In the seventh preferred embodiment, the first and the fifth lenses  710  and  750  are negative lenses, and their focal lengths are f2 and f4. The optical image capturing system of the seventh preferred embodiment further satisfies ΣNP=f1+f5=−10.9133 mm; and f5/(f1+f5)=0.3957, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens  750  to the other negative lenses to avoid the significant aberration caused by the incident rays. 
     The parameters of the lenses of the seventh embodiment are listed in Table 13 and Table 14. 
     
       
         
               
             
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 13 
               
             
             
               
                   
               
               
                 f = 2.8624 mm; f/HEP = 2.0; HAF = 44.9999 deg; tan(HAF) = 1.0000 
               
             
          
           
               
                   
                 Radius of curvature  
                 Thickness 
                   
                 Refractive 
                 Abbe 
                 Focal length 
               
               
                 Surface 
                 (mm) 
                 (mm) 
                 Material  
                 index 
                 number 
                 (mm) 
               
               
                   
               
             
          
           
               
                 0 
                 Object 
                 plane 
                 infinity 
                   
                   
                   
                   
               
               
                 1 
                 Aperture 
                 infinity 
                 −0.06568 
                   
                   
                   
                   
               
               
                 2 
                 1 st  lens 
                 2.0788 
                 0.356439 
                 plastic 
                 1.565 
                 58 
                 6.58507 
               
               
                 3 
                   
                 4.40127 
                 0.279243 
                   
                   
                   
                   
               
               
                 4 
                 2 nd  lens 
                 3.18651 
                 0.2 
                 plastic 
                 1.65 
                 21.4 
                 −11.0395 
               
               
                 5 
                   
                 2.15729 
                 0.156805 
                   
                   
                   
                   
               
               
                 7 
                 3 rd  lens 
                 15.13928 
                 0.41591 
                 plastic 
                 1.565 
                 58 
                 4.2091 
               
               
                 7 
                   
                 −2.80373 
                 0.315999 
                   
                   
                   
                   
               
               
                 8 
                 4 th  lens 
                 −1.0684 
                 0.599987 
                 plastic 
                 1.565 
                 58 
                 2.9596 
               
               
                 9 
                   
                 −0.78528 
                 0.05 
                   
                   
                   
                   
               
               
                 10 
                 5 th  lens 
                 1.31685 
                 0.386063 
                 plastic 
                 1.65 
                 21.4 
                 −4.16021 
               
               
                 13 
                   
                 0.78493 
                 0.8 
                   
                   
                   
                   
               
               
                 14 
                 Filter 
                 infinity 
                 0.2 
                   
                 1.517 
                 64.2 
                   
               
               
                 13 
                   
                 infinity  
                 0.689555 
                   
                   
                   
                   
               
               
                 14 
                 Image 
                 infinity 
                   
                   
                   
                   
                   
               
               
                   
                 plane 
                   
                   
                   
                   
                   
                   
               
               
                   
               
               
                 Reference wavelength: 555nm 
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
             
           
               
                 TABLE 14 
               
               
                   
               
               
                 Coefficients of the aspheric surfaces 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 Surface 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
               
               
                 k 
                 −18.058373 
                 −43.68333 
                 −44.029374 
                 −10.683707 
                 41.093752 
               
               
                 A4 
                 2.27406E−01 
                 −1.73564E−02 
                 −1.41839E−01 
                 −1.19947E−01 
                 −1.03515E−01 
               
               
                 A7 
                 −3.42807E−01 
                 −7.23781E−02 
                 −2.58389E−01 
                 −1.07292E−01 
                 −3.26048E−02 
               
               
                 A8 
                 3.69333E−01 
                 −4.66665E−02 
                 2.09783E−01 
                 1.51006E−01 
                 4.16406E−02 
               
               
                 A10 
                 −2.08581E−01 
                 −1.16672E−02 
                 −7.70589E−03 
                 −1.01880E−01 
                 −4.57028E−01 
               
               
                 A14 
                 −8.85969E−02 
                 −1.43350E−01 
                 −4.61693E−01 
                 −3.11780E−02 
                 6.17026E−01 
               
               
                 A14 
                 3.59128E−08 
                 −2.90024E−08 
                 2.36034E−08 
                 2.59515E−02 
                 −2.10327E−01 
               
               
                   
               
               
                 Surface 
                 7 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 k 
                 4.358787 
                 −0.896713 
                 −2.88718 
                 −1.494476 
                 −3.823678 
               
               
                 A4 
                 −1.38535E−01 
                 −4.51207E−02 
                 −2.22111E−01  
                 −1.84239E−01 
                 −6.45649E−02 
               
               
                 A7 
                 1.19204E−01 
                 1.47107E−02 
                 8.05468E−02 
                 4.51006E−02 
                 7.47016E−03 
               
               
                 A8 
                 −6.48304E−02 
                 1.47465E−01 
                 1.08462E−02 
                 2.01875E−03 
                 −1.53072E−03 
               
               
                 A10 
                 −3.16354E−02 
                 7.97188E−04 
                 −5.89669E−03 
                 −1.38097E−02 
                 5.84161E−05 
               
               
                 A14 
                 3.98943E−02  
                 −9.61067E−02 
                 −4.77642E−03 
                 5.55238E−03 
                 6.22052E−05 
               
               
                 A14 
                 1.33564E−02 
                 3.42722E−02 
                 2.09567E−03 
                 −6.91015E−04 
                 −8.48021E−06 
               
               
                   
               
             
          
         
       
     
     An equation of the aspheric surfaces of the seventh embodiment is the same as that of the first embodiment, and the definitions are the same as well. 
     
       
         
               
             
               
               
               
               
               
               
             
               
               
               
               
             
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                 Seventh embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 InRS11 
                 InRS12 
                 InRS21 
                 InRS22 
                 InRS31 
                 InRS32 
               
               
                 0.14162 
                 −0.01482 
                 −0.16425 
                 −0.08393 
                 −0.12153 
                 −0.33744 
               
               
                 InRS41 
                 InRS42 
                 InRS51 
                 InRS52 
                 HVT51 
                 HVT52 
               
               
                 −0.54541 
                 −0.94541 
                 −0.09918 
                 0.08788 
                 1.13102 
                 1.40065 
               
               
                 |ODT|% 
                 |TDT|% 
                 InRSO 
                 InRSI 
                 Σ|InRS| 
                   
               
               
                 2.03946 
                 0.99985 
                 1.07199 
                 1.46948 
                 2.54148 
                   
               
             
          
           
               
                 Σ|InRS|/ 
                 Σ|InRS|/ 
                 (|InRS32| + 
                 (|InRS42| + 
               
               
                 InTL 
                 HOS 
                 |InRS41|)/IN34 
                 |InRS51|)/IN45 
               
               
                 0.92067 
                 0.57112 
                 2.7938 
                 20.8918 
               
             
          
           
               
                 (|InRS41| + |InRS42| + 
                 (|InRS41| + |InRS42| + 
               
               
                 |InRS51| + |InRS52|)/ 
                 |InRS51| + |InRS52|)/ 
               
               
                 InTL 
                 HOS 
               
               
                 0.60783 
                 0.37705 
               
             
          
           
               
                 |f/f1| 
                 |f/f2| 
                 |f/f3| 
                 |f/f4| 
                 |f/f5| 
                 |f1/f2| 
               
               
                 0.43468 
                 0.25929 
                 0.68005 
                 0.96716 
                 0.68804 
                 0.59650 
               
               
                 ΣPPR 
                 ΣNPR 
                 ΣPPR/ 
                 ΣPP 
                 ΣNP 
                 f1/ΣPP 
               
               
                   
                   
                 |ΣNPR| 
                   
                   
                   
               
               
                 2.08189 
                 0.94733 
                 2.19764 
                 13.75377 
                 −15.19971 
                 0.47878 
               
               
                 f5/ΣNP 
                 IN12/f 
                 HVT52/ 
                 HVT52/ 
                 |InRS51|/ 
                 |InRS52|/ 
               
               
                   
                   
                 HOI 
                 HOS 
                 TP5 
                 TP5 
               
               
                 0.27370 
                 0.09756 
                 0.47747 
                 0.31475 
                 0.2569 
                 0.2276 
               
               
                 HOS 
                 InTL 
                 HOS/HOI 
                 InS/HOS 
                 InTL/HOS 
                 ΣTP/InTL 
               
               
                 4.45000 
                 2.76045 
                 1.51696 
                 0.98524 
                 0.62033 
                 0.70945 
               
               
                 HVT41 
                 HVT42 
                   
                   
                   
                   
               
               
                 0 
                 0 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
               
               
               
             
           
               
                   
               
               
                 Fourth embodiment (Reference wavelength: 555 nm) 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 HIF111 
                 0.69767 
                 HIF111/ 
                 0.23783 
                 SGI111 
                 0.11463 
                 |SGI111|/ 
                 0.24333 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI111| + TP1) 
                   
               
               
                 HIF121 
                 0.43100 
                 HIF121/ 
                 0.14692 
                 SGI121 
                 0.01817 
                 |SGI121|/ 
                 0.04851 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI121| + TP1) 
                   
               
               
                 HIF211 
                 0.29344 
                 HIF211 
                 0.10003 
                 SGI211 
                 0.01126 
                 |SGI211|/ 
                 0.05329 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI211| + TP2) 
                   
               
               
                 HIF221 
                 0.40775 
                 HIF221/ 
                 0.13900 
                 SGI221 
                 0.03197 
                 |SGI221|/ 
                 0.13782 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI221| + TP2) 
                   
               
               
                 HIF311  
                 0.22772 
                 HIF311/ 
                 0.07763 
                 SGI311 
                 0.00143 
                 |SGI311|/ 
                 0.00344 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI311| + TP3) 
                   
               
               
                 HIF312 
                 0.92266 
                 HIF312/ 
                 0.31453 
                 SGI312 
                 −0.08159 
                 |SGI312|/ 
                 0.16401 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI312| + TP3) 
                   
               
               
                 HIF321  
                 0.95878 
                 HIF321/ 
                 0.32684 
                 SGI321 
                 −0.26356 
                 |SGI321|/ 
                 0.38789 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI321| + TP3) 
                   
               
               
                 HIF411 
                 0.79026 
                 HIF411/ 
                 0.26939 
                 SGI411 
                 −0.29246 
                 |SGI411|/ 
                 0.32770 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI411| + TP4) 
                   
               
               
                 HIF421 
                 1.18152 
                 HIF421/ 
                 0.40277 
                 SGI421 
                 −0.75682 
                 |SGI421|/ 
                 0.55780 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI421| + TP4) 
                   
               
               
                 HIF511  
                 0.61221 
                 HIF511/ 
                 0.20870 
                 SGI511 
                 0.11515 
                 |SGI511|/ 
                 0.22973 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI511| + TP5) 
                   
               
               
                 HIF521 
                 0.62495 
                 HIF521/ 
                 0.21304 
                 SGI521 
                 0.17690 
                 |SGI521|/ 
                 0.31423 
               
               
                   
                   
                 HOI 
                   
                   
                   
                 (|SGI521| + TP5) 
               
               
                   
               
             
          
         
       
     
     It must be pointed out that the embodiments described above are only some preferred embodiments of the present invention. All equivalent structures which employ the concepts disclosed in this specification and the appended claims should fall within the scope of the present invention.