# Patent

## Title
Optical image capturing system

## 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.

## Background
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 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 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. The first lens has positive refractive power, and the fifth lens has 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≦2.8 and 0.5≦HOS/f≦2.5;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; and 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.
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 positive refractive power, and both the object-side surface and the image side surface thereof are aspheric surfaces. The second lens has negative 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≦2.8; 0.5≦HOS/f≦2.5; 0.4≦| tan(HAF)|≦1.5; |TDT|<1.5%; and |ODT|≦2.5%;

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; and 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 a side 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≦2.8; 0.4≦HOS/f≦1.5; 0.5≦| tan(HAF)|≦2.5; |TDT|<1.5%; and |ODT|≦2.5%;

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; and 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 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 and 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|>f5.
In an embodiment, when the lenses satisfy |f2|+|f3|+|f4|>|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.



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. The optical image capturing system further is provided with an image sensor at an image plane.
The optical image capturing system works in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, 650 nm, and 555 nm.
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 fp of each of lenses with negative refractive power; and ΣNPR is a sum of the PNRs 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, and a preferable range is 0<ΣPP≦150 and 0.01≦f1/ΣPP≦0.6, 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 fp 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<0 and 0.01≦f5/ΣNP≦0.5, 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 negative refractive power, which may correct the aberration of the first lens.
The fourth lens has positive refractive power, and an image-side surface thereof, which faces the image side, is concave. The fourth lens 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≦2.5, 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 0.6≦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|≦0.5, and a preferable range is 0.1≦|R1/R2|≦0.45, 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 refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the present invention satisfies −10<(R9−R10)/(R9+R10)<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<IN12/f≦0.25, 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 1≦(TP1+IN12)/TP≦210, 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≦0.8, 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, an ΣTP 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 mm≦InRS51≦1 mm; −1 mm≦InRS52≦1 mm; 1 mm≦|InRS51|+|InRS52|≦2 mm; 0.01≦|InRS51|/TP5≦5; and 0.01≦|InRS52|/TP5≦5, 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 radius of the object-side surface 152 of the fifth lens, wherein InRS51 is positive while the displacement is toward the image side, and InRS51 is negative while the displacement is toward the object side; 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 radius 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 may control the positions of the maximum effective radius on both surfaces of the fifth lens, correct the aberration of the spherical field of view, and reduce the size.
The optical image capturing system of the present invention satisfies 0<SGI511/(SGI511+TP5)≦0.9 and 0<SGI521/(SGI521+TP5)≦0.9, and a preferable range is 0.01<SGI511/(SGI511+TP5)≦0.7 and 0.01<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 an inflection point, which is the closest to the optical axis, on the object-side surface of the fifth lens; 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 an inflection point, which is the closest to the optical axis, on the image-side surface of the fifth lens, and TP5 is a thickness of the fifth lens on the optical axis.
The optical image capturing system of the present invention satisfies 0<SGI512/(SGI512+TP5)≦0.9 and 0<SGI522/(SGI522+TP5)≦0.9, and a preferable range is 0.1SGI512/(SGI512+TP5)≦0.8 and 0.1≦SGI522/(SGI522+TP5)≦0.8, 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 an inflection point, which is the second closest to the optical axis, on the image-side surface of the fifth lens, and SGI522 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 an inflection point, which is the second closest to the optical axis, on the image-side surface of the fifth lens.
The optical image capturing system of the present invention satisfies 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, which is the closest to the optical axis, on the object-side surface of the fifth lens and the optical axis, and HIF521 is a distance perpendicular to the optical axis between the inflection point, which is the closest to the optical axis, on the image-side surface of the fifth lens 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/HOI≦0.8, where HIF512 is a distance perpendicular to the optical axis between the inflection point, which is the second the closest to the optical axis, on the object-side surface of the fifth lens and the optical axis, and HIF522 is a distance perpendicular to the optical axis between the inflection point, which is the second the closest to the optical axis, on the image-side surface of the fifth lens 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=ch2/[1+[1(k+1)c2h2]0.5]+A4h4+A6h6+A8h8+A10h10+A12h12+A14h14+A16h16+A18h18+A20h20  (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|/(|SGI1211+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|>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|>|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/|ΣNPR|=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 fp 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; InS=4.19216 mm; and InS/HOS=0.9316, 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; HOI 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 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 sharing the positive refractive powers 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 sharing the negative refractive powers 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, an 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=1.757135199; and ∥nRS52|/TP5=1.6914, 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 radius 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 radius 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 may control the positions of the maximum effective radius on both surfaces of the fifth lens, correct the aberration of the spherical field of view, and reduce the size.
The optical image capturing system of the first preferred embodiment 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



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
plane
−0.30784


2
1st lens
1.48285
0.587988
plastic
1.5441
56.1
3.77514


3

4.54742
0.511659


4
2nd lens
−9.33807
0.306624
plastic
1.6425
22.465
−55.2008


5

−12.8028
0.366935


6
3rd lens
−1.02094
0.308255
plastic
1.6425
22.465
−18.3893


7

−1.2492
0.05


8
4th lens
2.18916
0.512923
plastic
1.5441
56.1
3.7693


9

−31.3936
0.44596


10
5th 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 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface thereof, which faces the image side, is a concave aspheric surface, and each of them has an inflection point respectively. The first lens 210 satisfies SGI111=0.289597 mm; SGI121=0.0365023 mm; |SGI111|/(|SGI111|+TP1)=0.373529438; and |SGI121|/(|SGI121|+TP1)=0.06990042, where SGI111 is a displacement in parallel to the optical axis from a point on the object-side surface of the first 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 SGI121 is a displacement in parallel 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 on the image-side surface, which is the closest to the optical axis.
The first lens further satisfies HIF111=0.905831 mm; HIF121=0.652682 mm; HIF111/HOI=0.308788478; and HIF121/HOI=0.222492586, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis, and 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 220 has positive refractive power, and is made of plastic. An object-side surface thereof, which faces the object side, is a concave aspheric surface, and an image-side surface thereof, which faces the image side, is a convex aspheric surface.
The third lens 230 has negative refractive power, and is made of plastic. An object-side surface 232, which faces the object side, is a concave aspheric surface, and an image-side surface 234, which faces the image side, is a convex aspheric surface, and the image-side surface 234 has an inflection point. The third lens 230 satisfies SGI321=−0.127948 mm; |SGI321|/(|SGI321|+TP3)=0.357448568, where SGI321 is a displacement in parallel to 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 230 further satisfies HIF321=0.764648 mm; HIF321/HOI=0.260660644, where HIF321 is a distance perpendicular 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 fourth lens 240 has positive refractive power, and is made of plastic. Both an object-side surface 242, which faces the object side, and an image-side surface 244, which faces the image side, thereof are convex aspheric surfaces. The object-side surface 242 has an inflection point. The fourth lens 240 satisfies SGI411=0.0450907 mm and |SGI411|/(|SGI411|+TP4)=0.069192674, where SGI411 is a displacement in parallel to 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 240 further satisfies HIF411=0.614636 mm; HIF411/HOI=0.209523095, where HIF411 is a distance perpendicular 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 250 has negative refractive power, and is made of plastic. Both an object-side surface 252, which faces the object side, and an image-side surface 254, which faces the image side, thereof are concave aspheric surfaces. The image-side surface 254 has an inflection point. The fifth lens 250 satisfies SGI521=0.0335164 mm and |SGI521|/(|SGI521|+TP5)=0.142482679, where SGI521 is a displacement in parallel to 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 250 further satisfies HIF521=0.548451 mm and HIF521/HOI=0.186961309, where HIF521 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
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|=10.9023 mm; |f1|+|f5|=6.1640 mm; and |f2|+|f3|+|f4|>|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=0.6066 mm and TP5=0.2017 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 second, and the fourth lenses 210, 220, and 240 are positive lenses, and their focal lengths are F1, f2, and f4. The optical image capturing system of the second preferred embodiment further satisfies ΣPP=f1+f2+f4=11.2567 mm and f1/(f1+f2+f4)=0.3351, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to sharing the positive refractive powers of the first lens 210 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the second preferred embodiment further satisfies ΣNP=f3+f5=−5.8096 mm and f5/(f3+f5)=0.4117, where f3 and f5 are focal lengths of the third and the fifth lenses, and ΣNP is a sum of the focal lengths of each negative lens. It is helpful to sharing the negative refractive powers 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 = 3.73617 mm; f/HEP = 2.05; HAF = 37.5 deg; tan(HAF) = 0.7673



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
plane
−0.29314


2
1st lens
1.55019
0.485702
plastic
1.5441
56.1
3.77218


3

5.57808
0.573897


4
2nd lens
−4.51338
0.431526
plastic
1.5441
56.1
4.86006


5

−1.72725
0.104831


6
3rd lens
−1.02096
0.23
plastic
1.6425
22.465
−3.4178


7

−2.06286
0.393512


8
4th lens
3.40929
0.606578
plastic
1.6142
25.59
2.62445


9

−2.88795
0.385878


10
5th lens
−2.18563
0.201715
plastic
1.5441
56.1
−2.39184


11

3.34847
0.3


12
Filter
plane
0.2

1.517
64.2


13

plane
0.594835


14
Image
plane
−0.00847



plane





Reference wavelength: 555 nm













TABLE 4





Coefficients of the aspheric surfaces




















Surface
2
3
4
5
6





k
−0.014137
 −9.617622
 −6.992485
−3.9719
 −2.261144


A4
 3.50872E−03
 5.26325E−03
−1.02501E−01
−9.08359E−02
 2.14378E−02


A6
 3.73889E−03
−9.55385E−03
−2.18613E−02
 7.98399E−02
 7.05677E−02


A8
−4.63034E−03 
−2.66210E−02
−9.76049E−02
−1.29003E−01
−1.02874E−01


A10
 3.10388E−03
−8.42124E−03
 1.97474E−02
−4.53549E−02
−1.35856E−03


A12
−4.70632E−02
 1.32845E−01
 6.53677E−02
−8.17092E−03
−2.88475E−02


A14
 8.89250E−02
−3.91880E−01
−4.33721E−02
 3.50727E−02
 1.63909E−02


A16
−6.77938E−02
 4.02388E−01
−1.41837E−01
 2.04185E−02
 4.87130E−02


A18
 2.52211E−03
−1.56641E−01
 1.11366E−01
−1.71945E−02
−4.56600E−02


A20





Surface
7
8
9
10
11





k
−1.066389
−15.633165
−23.312562
−0.140216
−49.59024


A4
 3.03418E−02
−3.36733E−02
−1.37877E−03
 2.55377E−04
−2.40682E−02


A6
 6.17927E−03
−2.46620E−03
−6.62558E−04
 5.33694E−03 
 5.23907E−04


A8
 8.46591E−03 
−1.24603E−04
−3.78081E−04
 1.88047E−03 
 8.11577E−05


A10
 1.38731E−02
−1.01770E−05
−6.46074E−05
−7.89433E−05
−5.45660E−05


A12
 2.17513E−03
−3.52464E−05
−7.88480E−06
−1.95736E−04
−5.51843E−06


A14
−5.76279E−03
−2.72652E−06
−3.67304E−06
−1.17001E−05
 4.55719E−08


A16
−6.16033E−03
 1.62638E−06 
−7.08326E−07
 6.26770E−06
 1.22706E−07


A18
 4.34621E−03
 5.46949E−08 
 6.90943E−08 
 5.64306E−07
−2.48651E−08


A20









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.
The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table:


















|TDT|
0.3739%
InRS51
−0.8039



|ODT|
  2.5%
InRS52
−0.5513



ΣPP
11.2567
|InRS51|/TP5
 3.9853



ΣNP
−5.8096
|InRS52|/TP5
 2.7332



f1/ΣPP
 0.3351
HIF511
 0



f5/ΣNP
 0.4117
HIF512
 0



IN12/f
 0.1536
HIF521
 0.5485



HOS/f
 1.2044
HIF522
 0



HOS
 4.5
HIF311
 0



InTL
 3.4136
HIF312
 0



HOS/HOI
 1.5340
HIF321
 0.7646



InS/HOS
 0.9349
HIF322
 0



InTL/HOS
 0.7586
|f/f1|
 0.9905



ΣTP/InTL
 0.5729
|f/f2|
 0.7687



(TP1 + IN12)/TP2
 2.4555
|f/f3|
 1.0932



(TP5 + IN45)/TP4
 0.9687
|f/f4|
 1.4236



(TP2 + TP3 + TP4)/ΣTP
 0.6485
|f/f5|
 1.5620










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, and the image-side surface 314 has an inflection point. The first lens 310 satisfies SGI121=0.0358931 mm and |SGI121|/(|SGI121|+TP1)=0.063758371, where SGI121 is a displacement in parallel 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 on the image-side surface, which is the closest to the optical axis.
The first lens further satisfies HIF121=0.613321 mm and HIF121/HOI=0.209074825, 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 320 has positive refractive power, and is made of plastic. Both an object-side surface 322, which faces the object side, and an image-side surface 324, which faces the image side, thereof are convex aspheric surfaces, and the object-side surface 322 has two inflection points. The second lens 320 satisfies SGI211=0.00003 mm and |SGI211|/(|SGI211|+TP2)=0.0000569, where SGI211 is a displacement in parallel to the optical axis from a point on the object-side surface of the second 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 second lens further satisfies SGI212=−0.116102 mm and |SGI212|/(|SGI212|+TP2)=0.267770943, where SGI212 is a displacement in parallel to the optical axis from a point on the object-side surface of the second 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 second lens further satisfies HIF211=0.0902456 mm and HIF211/HOI=0.030763798, 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 second lens further satisfies HIF212=0.919918 mm and HIF212/HOI=0.313590591, where HIF212 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 second the closest to the optical axis.
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 concave aspheric surface, and an image-side surface 334, which faces the image side, is a convex aspheric surface, and the image-side surface 334 has an inflection point. The third lens 330 satisfies SGI321=−0.238578 mm and |SGI321|/(|SGI321|+TP3)=0.378170002, where SGI321 is a displacement in parallel to 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 330 further satisfies HIF321=0.854181 mm; HIF321/HOI=0.291181524, where HIF321 is a distance perpendicular 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 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 fifth lens 350 has negative refractive power, and is made of plastic. Both an object-side surface 352, which faces the object side, and an image-side surface 354, which faces the image side, thereof are concave aspheric surfaces. The object-side surface 352 has three inflection points, and the image-side surface 354 has an inflection point. The fifth lens 350 satisfies SGI511=−0.419938 mm; SGI521=0.0343486 mm; |SGI511|/(|SGI511|+TP5)=0.677387094; and |SGI521|/(|SGI521|+TP5)=0.146570536, where SGI511 is a displacement in parallel to 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 to 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 350 further satisfies SGI512=−0.632485 mm and |SGI512|/(|SGI512|+TP5)=0.759755431, where SGI512 is a displacement in parallel to 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 the closest to the optical axis.
The fifth lens 350 further satisfies SGI513=−0.659028 mm and |SGI513|/(|SGI513|+TP5)=0.767178718, where SGI513 is a displacement in parallel to 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 the closest to the optical axis.
The fifth lens 350 further satisfies HIF511=1.41761 mm; HIF521=0.574215 mm; HIF511/HOI=0.483248679; and HIF521/HOI=0.195743992, where HIF511 is a distance perpendicular 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, and HIF521 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fifth lens 350 further satisfies HIF512=1.86371 mm and HIF512/HOI=0.635319584, where HIF512 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second the closest to the optical axis, and the optical axis.
The fifth lens 350 further satisfies HIF513=1.92106 mm and HIF513/HOI=0.65486961, where HIF513 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the fourth lens, which is the third the closest to the optical axis, and the optical axis.
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|=134.5847 mm; |f1|+|f5|=6.3780 mm; and |f2|+|f3|+|f4|>|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=0.5810 mm and TP5=0.2000 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.
The optical image capturing system of the third preferred embodiment further satisfies ΣPP=f1+f2+f3+f4=138.4992 mm and f1/(f1+f2+f3+f4)=0.0283, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to sharing the positive refractive powers of the first lens 310 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the third preferred embodiment further satisfies ΣNP=f5=−2.4635 mm, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.







TABLE 5







f = 3.73358 mm; f/HEP = 2.05; HAF = 37.5 deg; tan(HAF) = 0.7673



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
plane
−0.28783


2
1st lens
1.5409
0.527062
plastic
1.5441
56.0936
3.9145


3

4.85792
0.489361


4
2nd lens
115.1264
0.317485
plastic
1.5441
56.0936
31.0086


5

−19.8251
0.398047


6
3rd lens
−1.27512
0.392297
plastic
1.6425
22.465
100


7

−1.40172
0.05


8
4th lens
−25.1813
0.581038
plastic
1.5441
56.0936
3.57607


9

−1.8264
0.459379


10
5th lens
−2.06778
0.2
plastic
1.5346
56.07
−2.46346


11

3.78326
0.3


12
Filter
plane
0.2

1.517
64.2


13

plane
0.590802


14
Image
plane
−0.00547



plane





Reference wavelength: 555 nm













TABLE 6





Coefficients of the aspheric surfaces




















Surface
2
3
4
5
6





k
−0.25951
 9.415402
50
−49.897066
 0.470805


A4
 4.78151E−03
−1.90620E−02
−8.68067E−02
−6.70132E−02
 8.08562E−02


A6
 1.61140E−02
−2.85554E−02
−1.03967E−01
−7.81192E−02
 4.01965E−02


A8
−3.62587E−02
−1.77557E−02
 2.73175E−02
−4.56985E−02
−2.67176E−02


A10
 1.86146E−02
−3.43074E−03
−2.25781E−02
−6.85619E−03
 2.26771E−02


A12
 4.82498E−03
 5.11491E−02
−5.39131E−02
 2.50775E−02
 6.05700E−03


A14
−1.56659E−02
−1.56407E−01
−1.42712E−02
 5.83725E−04
−3.67741E−02


A16
−4.21928E−03
 1.06095E−01
 9.38904E−02
−2.66081E−02
 6.85779E−02


A18
−2.03231E−03
−1.06315E−02
 3.24556E−03
 2.71042E−02
−3.52185E−02


A20





Surface
7
8
9
10
11





k
 0.021118
50
−2.556424
 −0.798246
−32.242001


A4
 7.80579E−02
−3.04939E−02
 4.44007E−03
 2.43426E−02
−3.17486E−02


A6
 1.31945E−02
 3.63840E−03
 1.04533E−03
−6.96291E−03
 2.66213E−03


A8
 7.14122E−03
−5.23017E−04
−1.57310E−04
 2.33553E−03
−1.02965E−04


A10
 1.62027E−02
 7.39189E−05
−1.22232E−04
 1.05841E−04
−2.83264E−05


A12
 1.09523E−02
−5.53116E−08
−1.50294E−05
−5.57252E−04
−5.78839E−06


A14
−5.18479E−03
 8.16043E−06 
−5.41743E−07
 4.41714E−05 
−2.91861E−07


A16
−1.13291E−02
 2.10395E−06
 2.98820E−07
 1.80752E−05 
 8.25778E−08


A18
 5.63487E−03
−1.21664E−06
 2.73321E−07
−2.27031E−06
−9.87595E−09


A20









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.
The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table:















|TDT|
0.5361%
InRS51
−0.71349


|ODT|
  2.5%
InRS52
−0.574799


ΣPP
138.4992
|InRS51|/TP5
 3.5675


ΣNP
 −2.4635
|InRS52|/TP5
 2.8740


f1/ΣPP
 0.0283
HIF511
 1.41761


f5/ΣNP
 1
HIF512
 1.86371


IN12/f
 0.1311
HIF521
 0.574215


HOS/f
 1.2053
HIF522
 0


HOS
 4.5
HIF311
 0


InTL
 3.4147
HIF312
 0


HOS/HOI
 1.5340
HIF321
 0.854181


InS/HOS
 0.9360
HIF322
 0


InTL/HOS
 0.7588
|f/f1| 
 0.9538


ΣTP/InTL
 0.5909
|f/f2| 
 0.1204


(TP1 + IN12)/TP2
 3.2015
|f/f3| 
 0.0373


(TP5 + IN45)/TP4
 1.1348
|f/f4| 
 1.0440


(TP2 + TP3 + TP4)/ΣTP
 0.6397
|f/f5| 
 1.5156









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, and each of them has an inflection point respectively. The first lens 410 satisfies SGI111=0.200123 mm; SGI121=0.00212328 mm; |SGI111|/(|SGI111|+TP1)=0.246038147; and |SGI121|/(|SGI121|+TP1)=0.003450343, where SGI111 is a displacement in parallel to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis, and SGI121 is a displacement in parallel 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 first lens 410 further satisfies HIF111=0.815455 mm; HIF121=0.225965 mm; HIF111/HOI=0.277980228; and HIF121/HOI=0.077029146, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis, and 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 420 has negative refractive power, and is made of plastic. An object-side surface thereof, which faces the object side, is a convex aspheric surface, and an image-side surface thereof, which faces the image side, is a concave aspheric surface.
The third lens 430 has positive refractive power, and is made of plastic. An object-side surface 432, which faces the object side, is a concave aspheric surface, and an image-side surface 434, which faces the image side, is a convex aspheric surface, and each has two inflection points. The third lens 430 satisfies SGI311=0.032962 mm; SGI321=0.0207769 mm; |SGI311|/(|SGI311|+TP3)=0.089989298; and |SGI321|/(|SGI321|+TP3)=0.058674752, where SGI311 is a displacement in parallel to 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 image-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel to 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 430 further satisfies SGI312=0.05311 mm; SGI322=−0.0196993 mm; |SGI312|/(|SGI312|+TP5)=0.137435436; and |SGI322|/(|SGI322|+TP3)=0.055801383, where SGI312 is a displacement in parallel to 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 image-side surface, which is the second the closest to the optical axis, and SGI322 is a displacement in parallel to 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 the closest to the optical axis.
The third lens 430 further satisfies HIF311=0.451205 mm; HIF321=0.448495 mm; HIF311/HOI=0.153811147; and HIF321/HOI=0.152887336, where HIF311 is a distance perpendicular 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 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 430 further satisfies HIF312=0.903949 mm; HIF322=1.0168 mm; HIF312/HOI=0.308146923; and HIF322/HOI=0.34661667, where HIF312 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis, and HIF322 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis.
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 concave aspheric surface. The image-side surface 444 has two inflection points. The fourth lens 440 satisfies SGI421=−0.288516 mm and |SGI421|/(|SGI421|+TP4)=0.379394186, where SGI421 is a displacement in parallel to the optical axis from a point on the image-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 440 further satisfies SGI422=−0.483235 mm and |SGI422|/(|SGI422|+TP4)=0.505907762, where SGI422 is a displacement in parallel to the optical axis from a point on the image-side surface of the fourth 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 fourth lens 440 further satisfies HIF421=0.821549 mm and HIF421/HOI=0.28005761, where HIF421 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fourth lens 440 further satisfies HIF422=1.29988 mm and HIF422/HOI=0.443115732, where HIF422 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.
The fifth lens 450 has negative refractive power, and is made of plastic. Both an object-side surface 452, which faces the object side, and an image-side surface 454, which faces the image side, thereof are concave aspheric surfaces, and each of them has two inflection points. The fifth lens 450 satisfies SGI511=0.00669328 mm; SGI521=0.0960792 mm; |SGI511|/(|SGI511|+TP5)=0.013155102; and |SGI521|/(|SGI521|+TP5)=0.160618352, where SGI511 is a displacement in parallel to 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 to 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 450 further satisfies SGI512=−0.111977 mm; SGI522=−0.0598915 mm; |SGI512|/(|SGI512|+TP5)=0.182348908; |S GI522|/(|SGI5221+TP5)=0.106569359, where SGI512 is a displacement in parallel to 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 to 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 fifth lens 450 further satisfies HIF511=0.270916 mm; HIF521=0.506464 mm; HIF511/HOI=0.09235248; and HIF521/HOI=0.172648372, where HIF511 is a distance perpendicular 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, and HIF521 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fifth lens 450 further satisfies HIF512=1.25206 mm; HIF522=2.15071 mm; HIF512/HOI=0.426814386; and HIF522/HOI=0.733154934, where HIF512 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis, and HIF522 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.
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|=20.3329 mm; |f1|+|f5|=6.0723 mm; and |f2|+|f3|+|f4|>|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=0.4719 mm and TP5=0.5021 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 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. The optical image capturing system of the fourth preferred embodiment further satisfies ΣPP=f1+f3+f4=17.4948 mm and f1/(f1+f3+f4)=0.2089, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to sharing the positive refractive powers of the first lens 410 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fourth preferred embodiment further satisfies ΣNP=f2+f5=−8.9104 mm and f5/(f2+f5)=0.2713, where f2 and f5 are focal lengths of the second and the fifth lenses, and ΣNP is a sum of the focal lengths of each negative lens. It is helpful to sharing the negative refractive powers of the fifth lens 450 to the other negative lenses to avoid the significant aberration caused by the incident rays.
The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.







TABLE 7







f = 3.68765 mm; f/HEP = 2.05; HAF = 38 deg; tan(HAF) = 0.7813



















Focal




Thickness

Refractive
Abbe
length


Surface
Radius of curvature (mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1

plane
0


2
1st
1.661715
0.613259
plastic
1.535
56.1
3.65523



lens/Aperture


3

9.5
0.03841


4
2nd lens
4.410298
0.3
plastic
1.643
22.5
−6.4933


5

2.095114
0.3


6
3rd lens
2.565918
0.333326
plastic
1.535
56.1
11.1432


7

4.292405
0.502411


8
4th lens
−2.11857
0.471949
plastic
1.535
56.1
2.69636


9

−0.92632
0.158316


10
5th lens
4.440027
0.502104
plastic
1.535
56.1
−2.41708


11

0.963795
0.340348


12
Filter
plane
0.21

1.517
64.2


13

plane
0.709877


14
Image plane
plane
0





Reference wavelength: 555 nm













TABLE 8





Coefficients of the aspheric surfaces




















Surface
2
3
4
5
6





k
−5.64626E+00
−3.74029E+01
−1.08126E+02
−1.01530E+01
−2.07310E+01


A4
 1.40603E−01
−2.43992E−01
−1.05391E−01
−1.39433E−02
−4.00093E−02


A6
−9.40997E−02
 6.85672E−01
 3.72195E−01
 3.04690E−01
 6.41498E−02


A8
−1.13170E−02
−7.86656E−01
 1.79723E−01
−4.48499E−01
−8.91312E−01


A10
 1.87365E−01
−7.48882E−01
−2.21677E+00
 6.08376E−01
 2.41287E+00


A12
−4.06461E−01
 2.37324E+00
 3.53652E+00
−8.55515E−01
−3.28858E+00


A14
 3.99062E−01
−1.93760E+00
−2.28768E+00
 8.36620E−01
 2.25240E+00


A16
−2.29569E−01
 5.47090E−01
 5.41358E−01
−3.23940E−01
−5.89713E−01


A18
 5.85201E−02
 0.00000E+00
 0.00000E+00
 0.00000E+00
 0.00000E+00


A20
 0.00000E+00
 0.00000E+00
 0.00000E+00
 0.00000E+00
 0.00000E+00





Surface
7
8
9
10
11





k
 1.01980E+01
 1.28599E+00
−3.10422E+00
−8.21767E+01
−6.39094E+00


A4
−5.81996E−02
 1.78350E−01
−2.23010E−02
−2.04418E−01
−1.28257E−01


A6
−1.53316E−01
−4.57068E−01
−1.88600E−01
 2.01606E−01 
 8.64602E−02


A8
 1.52353E−01
 1.65829E+00
 7.08455E−01
−2.03429E−01
−4.98270E−02


A10
−2.37631E−01
−4.08668E+00
−1.22197E+00
 1.48407E−01
 1.96872E−02


A12
 2.42492E−01
 6.41709E+00
 1.28265E+00
−6.64032E−02
−5.28849E−03


A14
−1.60049E−01
−6.35179E+00
−8.06529E−01
 1.81506E−02
 9.72957E−04


A16
 5.73563E−02 
 3.79979E+00
 2.93593E−01
−2.98191E−03
−1.21454E−04


A18
 0.00000E+00 
−1.24581E+00
−5.70956E−02
 2.71548E−04
 9.53845E−06


A20
 0.00000E+00
 1.71017E−01
 4.59424E−03 
−1.05608E−05
−3.54660E−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.
The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:















|TDT|
 0.6919%
InRS51
−0.217564


|ODT|
 2.8921%
InRS52
−0.166513


ΣPP
17.4948
|InRS51|/TP5
 0.4333


ΣNP
−8.9104
|InRS52|/TP5
 0.3316


f1/ΣPP
 0.2089
HIF511
 0.270916


f5/ΣNP
 0.2713
HIF512
 1.25206


IN12/f
 0.0104
HIF521
 0.506464


HOS/f
 1.2149
HIF522
 2.15071


HOS
 4.48
HIF311
 0.451205


InTL
 3.21977
HIF312
 0.903949


HOS/HOI
 1.5272
HIF321
 0.448495


InS/HOS
 0.9470
HIF322
 1.0168


InTL/HOS
 0.7187
|f/f1| 
 1.0089


ΣTP/InTL
 0.6897
|f/f2| 
 0.5679


(TP1 + IN12)/TP2
 2.1722
|f/f3| 
 0.3309


(TP5 + IN45)/TP5
 1.3993
|f/f4| 
 1.3676


(TP2 + TP3 + TP4)/ΣTP
 0.4977
|f/f5| 
 1.5257









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. Both an object-side surface 512, which faces the object side, and an image-side surface 514 thereof, which faces the image side, are convex aspheric surfaces, and the object-side surface 512 has an inflection point. The first lens 510 satisfies SGI111=0.0767781 mm and |SGI111|/(|SGI111|+TP1)=0.141136187, where SGI111 is a displacement in parallel to the optical axis from a point on the object-side surface of the first 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 first lens further satisfies HIF111=0.571706 mm and HIF111/HOI=0.248892468, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-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 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, and each of them has an inflection point. The second lens 520 satisfies SGI211=0.00453749 mm; SGI221=0.0802085 mm; |SGI211|/(|SGI211|+TP2)=0.009618227; and |SGI221|/(|SGI221|+TP2)=0.250488354, where SGI211 is a displacement in parallel to the optical axis from a point on the object-side surface of the second 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 SGI221 is a displacement in parallel 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 on the image-side surface, which is the closest to the optical axis.
The second lens further satisfies HIF211=0.403308 mm; HIF221=0.582844 mm; HIF211/HOI=0.175580322; and HIF221/HOI=0.253741402, 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 530 has positive refractive power, and is made of plastic. An object-side surface 532, which faces the object side, is a convex aspheric surface, and an image-side surface 534, which faces the image side, is a concave aspheric surface, and each of them has two inflection points. The third lens 530 satisfies SGI311=0.051302 mm; SGI321=0.0132421 mm; |SGI311|/(|SGI311|+TP3)=0.122577223; and |SGI321|/(|SGI321|+TP3)=0.034804758, where SGI311 is a displacement in parallel to 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 to 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 530 further satisfies SGI312=0.0878365 mm; SGI322=0.0185546 mm; |SGI312|/(|SGI312|+TP5)=0.193020739; and |SGI322|/(|SGI322|+TP3)=0.04809625, where SGI312 is a displacement in parallel to 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 to 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 530 further satisfies HIF311=0.486251 mm; HIF321=0.491163 mm; HIF311/HOI=0.211689595; and HIF321/HOI=0.213828037, where HIF311 is a distance perpendicular 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 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 530 further satisfies HIF312=0.738394 mm; HIF322=0.806132 mm; HIF312/HOI=0.321460165; and HIF322/HOI=0.350949935, where HIF312 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis, and HIF322 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis.
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, and each of them has two inflection points. The fourth lens 540 satisfies SGI411=−0.12685 mm; SGI421=−0.301629 mm; |SGI411|/(|SGI411|+TP4)=0.207360014; and |SGI421|/(|SGI421|+TP4)=0.383499657, where SGI411 is a displacement in parallel to 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, and SGI421 is a displacement in parallel to the optical axis from a point on the image-side surface of the fourth 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 fourth lens 540 further satisfies SGI412=−0.229331 mm; SGI422=−0.482163 mm; |SGI412|/(|SGI412|+TP4)=0.32109339; and |SGI422|/(|SGI422|+TP4)=0.498591077, where SGI412 is a displacement in parallel to 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 second closest to the optical axis, and SGI422 is a displacement in parallel to the optical axis from a point on the image-side surface of the fourth 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 fourth lens 540 further satisfies HIF411=0.584829 mm; HIF421=0.710318 mm; HIF411/HOI=0.254605572; and HIF421/HOI=0.309237266, where HIF411 is a distance perpendicular 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, and HIF421 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fourth lens 540 further satisfies HIF412=0.935364 mm; HIF422=1.0617 mm; HIF412/HOI=0.407211145; and HIF422/HOI=0.46221158, where HIF412 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis, and HIF422 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.
The fifth lens 550 has negative refractive power, and is made of plastic. An object-side surface 552, which faces the object side, is a convex aspheric surface, and an image-side surface 554, which faces the image side, thereof is a concave aspheric surface, and each of them has an inflection point. The fifth lens 550 satisfies SGI511=0.0421076 mm; SGI521=0.128996 mm; |SGI511|/(|SGI511|+TP5)=0.068110522; and |SGI521|/(|SGI521|+TP5)=0.182943727, where SGI511 is a displacement in parallel to 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 to 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 550 further satisfies HIF511=0.447148 mm; HIF521=0.520736 mm; HIF511/HOI=0.194666086; and HIF521/HOI=0.226702656, where HIF511 is a distance perpendicular 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, and HIF521 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
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|=9.4560 mm; |f1|+|f5|=5.2532 mm; and |f2|+|f3|+|f4|>|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=0.4849 mm and TP5=0.5761 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.
The optical image capturing system of the fifth preferred embodiment further satisfies ΣPP=f1+f3+f4=9.1580 mm and f1/(f1+f3+f4)=0.2904, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to sharing the positive refractive powers of the first lens 510 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fifth preferred embodiment further satisfies ΣNP=f2+f5=−5.5513 mm; and f5/(f2+f5)=0.4673, where ΣNP is a sum of the focal lengths of each negative lens.
The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.







TABLE 9







f = 2.5865 mm; f/HEP = 1.84; HAF = 40.5023 deg; tan(HAF) = 0.8542



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
infinity






1
Aperture
plane
600


2
1st lens
1.97767
0.467222
plastic
1.5346
56.0493
2.659


3

−4.60888
0.059668


4
2nd lens
9.84426
0.24
plastic
1.6425
22.4554
−2.956


5

1.57135
0.163865


6
3rd lens
1.80017
0.367226
plastic
1.5346
56.0493
4.164


7

8.81208
0.346631


8
4th lens
−1.10175
0.484888
plastic
1.5346
56.0493
2.334


9

−0.67415
0.027


10
5th lens
1.92949
0.576117
plastic
1.5346
56.0493
−2.594


11

0.7222
0.325091


12
Filter
plane
0.21


13

plane
0.57


14
Image
plane
0



plane





Reference wavelength: 555 nm













TABLE 10





Coefficients of the aspheric surfaces




















Surface
2
3
4
5
6





k
 −17.548
20.72007
−1458.5
−10.102
−30.452


A4
 2.16810E−01
−1.91737E−02
−7.79360E−02 
−1.89220E−01
 1.77640E−01


A6
−4.05220E−01
 5.62482E−01
 4.35910E−01
 9.27040E−01
−8.13350E−01


A8
 4.94800E−01
−2.44628E+00
−1.10450E+00
−2.31830E+00
 2.04860E+00


A10
−1.31620E+00
 2.87229E+00
 1.45050E+00
 3.46340E+00
−3.53560E+00


A12
 2.41040E+00
−8.31653E−01
−1.26780E+00
−3.48440E+00
 3.46920E+00


A14
−2.12010E+00
−5.92440E−01
 6.94020E−01
 2.14430E+00
−1.57340E+00


A16
−5.78930E−01
 9.56615E−02
−1.70820E−01 
−5.88790E−01
 2.34740E−01


A18
 8.56960E−01

 7.99370E−01
 9.04260E−01
 9.32410E−01


A20





Surface
7
8
9
10
11





k
−220.47
−0.2298
  −3.7604
−13.45
 −5.0734


A4
 3.52410E−02
 3.56040E−01
−1.01020E+00
−4.70200E−01
−1.93170E+00


A6
−7.57280E−03
 6.39890E−02
 3.41410E+00
−5.25100E+00
 3.72680E+00


A8
−4.54180E−01
−1.64550E+00
−9.10050E+00 
 2.62670E+01
−5.76430E+00


A10
 1.44980E+00
 5.97970E+00
 1.65970E+01
−6.61760E+01
 4.90790E+00


A12
−2.46040E+00
−9.44460E+00
−1.55700E+01
 9.47930E+01
−2.30280E+00


A14
 2.02280E+00
 7.06870E+00
 6.60480E+00
−7.14380E+01
 8.23710E−01


A16
−5.92280E−01
−2.05660E+00
−9.53720E−01 
 2.18430E+01
−4.04360E−01


A18
 9.47530E−01
 1.00130E+00
 1.18040E+00
 1.74380E+00
 2.07930E+00


A20









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.
The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:















|TDT|
 0.6919%
InRS51
−0.038646


|ODT|
 2.8921%
InRS52
 0.141591


ΣPP
 9.1580
|InRS51|/TP5
 0.0671


ΣNP
−5.5513
|InRS52|/TP5
 0.2458


f1/ΣPP
 0.2904
HIF511
 0.447148


f5/ΣNP
 0.4673
HIF512
 0


IN12/f
 0.0231
HIF521
 0.520736


HOS/f
 1.4837
HIF522
 0


HOS
 3.83771
HIF311
 0.486251


InTL
 2.73262
HIF312
 0.738394


HOS/HOI
 1.6707
HIF321
 0.491163


InS/HOS
 0.9726
HIF322
 0.806132


InTL/HOS
 0.7120
|f/f1|
 0.9726


ΣTP/InTL
 0.7815
|f/f2|
 0.8746


(TP1 + IN12)/TP2
 2.1954
|f/f3|
 0.6211


(TP5 + IN45)/TP5
 1.2438
|f/f4|
 1.1080


(TP2 + TP3 + TP4)/ΣTP
 0.5114
|f/f5|
 0.9971









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, an aperture 600, a first lens 610, 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 positive refractive power, and is made of plastic. Both an object-side surface 612, which faces the object side, and an image-side surface 614 thereof, which faces the image side, thereof are convex aspheric surfaces, and the object-side surface 612 has an inflection point. The first lens 610 satisfies SGI111=0.13282 mm and |SGI111|/(|SGI111|+TP1)=0.249633031, where SGI111 is a displacement in parallel to the optical axis from a point on the object-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 first lens 610 further satisfies HIF111=0.557356 mm and HIF111/HOI=0.242328696, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-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 620 has negative refractive power, and is made of plastic. Both an object-side surface thereof, which faces the object side, and an image-side surface thereof, which faces the image side, thereof are concave aspheric surfaces, and each of them has three inflection points. The second lens 520 satisfies SGI211=−0.006689 mm and |SGI211|/(|SGI211|+TP2)=0.016478211, where SGI211 is a displacement in parallel to the optical axis from a point on the object-side surface of the second 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 second lens 620 further satisfies SGI212=−0.013634 mm and |SGI212|/(|SGI212|+TP2)=0.059791165, where SGI212 is a displacement in parallel to the optical axis from a point on the object-side surface of the second 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 second lens 620 further satisfies SGI213=−0.025093 mm and |SGI213|/(|SGI213|+TP2)=0.104778567, where SGI213 is a displacement in parallel to the optical axis from a point on the object-side surface of the second 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 second lens 620 further satisfies HIF211=0.230075 mm and HIF211/HOI=0.100032609, where HIF211 is a displacement perpendicular to the optical axis from a point on the object-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 second lens 620 further satisfies HIF212=0.406523 mm and HIF212/HOI=0.17674913, where HIF212 is a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the second closest to the optical axis.
The second lens 620 further satisfies HIF213=0.599935 mm and HIF213/HOI=0.260841304, where HIF213 is a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the third closest to the optical axis.
The third lens 630 has positive refractive power, and is made of plastic. An object-side surface 632, which faces the object side, is a convex aspheric surface, and an image-side surface 634, which faces the image side, is a concave aspheric surface, and the object-side surface 632 has three inflection points. The third lens 630 satisfies SGI311=0.008926 mm; SGI321=0.007233 mm; |SGI311|/(|SGI311|+TP3)=0.040333476; and |SGI321|/(|SGI321|+TP3)=0.032935359, where SGI311 is a displacement in parallel to 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 image-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel to 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 630 further satisfies SGI312=0.016027 mm; SGI322=0.009358 mm; |SGI312|/(|SGI312|+TP3)=0.07016891; and |SGI322|/(|SGI322|+TP3)=0.042203151, where SGI312 is a displacement in parallel to 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 image-side surface, which is the second the closest to the optical axis, and SGI322 is a displacement in parallel to 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 the closest to the optical axis.
The third lens 630 further satisfies SGI313=0.027532 mm and |SGI313|/(|SGI312|+TP3)=0.114759223, where SGI313 is a displacement in parallel to 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 image-side surface, which is the third the closest to the optical axis.
The third lens 630 further satisfies HIF311=0.242051 mm; HIF321=0.260156 mm; HIF311/HOI=0.105239565; and HIF321/HOI=0.113111304, where HIF311 is a distance perpendicular 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 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 630 further satisfies HIF312=0.516971 mm; HIF322=0.580997 mm; HIF312/HOI=0.22477; and HIF322/HOI=0.252607391, where HIF312 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the third lens, which is the second closest to the optical axis, and the optical axis, and HIF322 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the third lens, which is the second closest to the optical axis, and the optical axis.
The third lens 630 further satisfies HIF313=0.707384 mm and HIF313/HOI=0.307558261, where HIF313 is a distance perpendicular the optical axis between the inflection point on the object-side surface of the third lens, which is the third closest to the optical axis.
The fourth lens 640 has 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, and the image-side surface 644 has two inflection points. The fourth lens 640 satisfies SGI421=−0.169119 mm and |SGI421|/(|SGI421|+TP4)=0.271054011, where SGI421 is a displacement in parallel to the optical axis from a point on the image-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 640 further satisfies SGI422=−0.315768 mm and |SGI422|/(|SGI422|+TP4)=0.409779647, where SGI422 is a displacement in parallel to the optical axis from a point on the image-side surface of the fourth 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 fourth lens 640 further satisfies HIF421=0.538907 mm and HIF421/HOI=0.234307391, where HIF421 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fourth lens 640 further satisfies HIF422=0.891673 mm and HIF422/HOI=0.387683913, where HIF422 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.
The fifth lens 650 has negative refractive power, and is made of plastic. An object-side surface 652, which faces the object side, is a concave aspheric surface, and an image-side surface 654, which faces the image side, thereof is a convex aspheric surface. The object-side surface 652 has an inflection point, and the image-side surface 654 has three inflection points. The fifth lens 650 satisfies SGI511=−0.322008 mm; SGI521=−0.003418 mm; |SGI511|/(|SGI511|+TP5)=0.495992114; and |SGI521|/(|SGI521|+TP5)=0.01033784, where SGI511 is a displacement in parallel to 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 to 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 650 further satisfies SGI522=−0.004481 mm and |SGI522|/(|SGI522|+TP5)=0.01350948, where SGI522 is a displacement in parallel to 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 fifth lens 650 further satisfies SGI523=−0.349841 mm and |SGI523|/(|SGI523|+TP5)=0.516711395, where SGI523 is a displacement in parallel to 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 third closest to the optical axis.
The fifth lens 650 further satisfies HIF511=0.97271 mm; HIF521=0.226561 mm; HIF511/HOI=0.422917391; and HIF521/HOI=0.098504783, where HIF511 is a distance perpendicular 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, and HIF521 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fifth lens 650 further satisfies HIF522=0.641323 mm and HIF522/HOI=0.278836087, where HIF522 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.
The fifth lens 650 further satisfies HIF523=1.694681 mm and HIF523/HOI=0.736817826, where HIF523 is a distance perpendicular the optical axis between the inflection point on the image-side surface of the fourth lens, which is the third closest to the optical axis, and the optical axis.
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 optical image capturing system of the sixth preferred embodiment has the following parameters, which are |f2|+|f3|+|f4|=19.7606 mm; |f1|+|f5|=3.2700 mm; and |f2|+|f3|+|f4|>|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; 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=0.4548 mm and TP5=0.3272 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 sixth embodiment, the first, the third, and the fourth lenses 610, 630, and 640 are positive lenses, and their focal lengths are f1, f3, and f4. The optical image capturing system of the sixth preferred embodiment further satisfies ΣPP=f1+f3+f4=19.0837 mm and f1/(f1+f3+f4)=0.0886, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to sharing the positive refractive powers of the first lens 610 to the other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the sixth preferred embodiment further satisfies ΣNP=f2+f5=−3.9469 mm and f5/(f2+f5)=0.4000, where f2 and f5 are focal lengths of the second and the fifth lenses, and ΣNP is a sum of the focal lengths of each negative lens. It is helpful to sharing the negative refractive powers 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 = 2.83773 mm; f/HEP = 2.4; HAF = 38.6605 deg; tan(HAF) = 0.8000



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


Surface
(mm)
(mm)
Material
index
number
(mm)

















0
Object
plane
600






1
Aperture
1.18456
0.399241


2
1st lens
−3.68537
0
plastic
1.5441
56.09
3.355


3

plane
0.045033


4
2nd lens
−3.14358
0.214393
plastic
1.6355
23.89
−8.053


5

3.00699
0.167286


6
3rd lens
2.68802
0.212379
plastic
1.5441
56.09
−589.708


7

3.82951
0.296565


8
4th lens
−2.1967
0.454812
plastic
1.5441
56.09
−3.85


9

−0.75354
0.458295


10
5th lens
−0.74066
0.327212
plastic
1.5441
56.09
6.661


11

−6.08962
0.08


12
Filter
plane
0.175


13

plane
0.513913


14
Image
plane
0



plane





Reference wavelength: 555 nm













TABLE 12





Coefficients of the aspheric surfaces




















Surface
2
3
4
5
6





k
 1.9568E+00
 2.0334E+00
 5.0243E+00
 1.7812E+00
−9.1494E+00


A4
−2.1502E−01 
 4.6222E−01
 7.1996E−01
 2.2114E−01
−5.7323E−01


A6
 8.2675E−01
−8.7735E−01
−1.4073E+00
−1.3082E+00
 1.2032E+00


A8
−1.2625E+01
−4.2271E+00
−2.5992E+00
 8.3507E+00
−7.8450E+00


A10
 7.3550E+01
 3.3447E+01
 3.3806E+01
−2.7786E+01
 3.2645E+01


A12
−2.5114E+02
−1.3617E+02
−1.5306E+02
 4.9437E+01
−6.0054E+01


A14
 4.4130E+02
 2.6247E+02
 3.1396E+02
−3.9448E+01
 5.8411E+01


A16
−3.3548E+02 
−1.8954E+02
−2.3240E+02 
 6.4543E+00
−2.8187E+01


A18







A20





Surface
7
8
9
10
11





k
−8.7625E+00
−6.6969E+01 
−5.9109E−01
−2.8337E+00
 2.0824E+00


A4
−3.7080E−01
−7.6309E−01
 3.5851E−01
 4.7034E−01
 3.2928E−01


A6
 8.1877E−01
 3.2225E+00
−3.8194E−02 
−7.4425E−01
−5.1245E−01


A8
−4.6973E+00
−7.1789E+00
 1.3339E+00
 5.0757E−01
 4.0799E−01


A10
 1.3632E+01
 9.1544E+00
−2.3424E+00
−1.2456E−01
−2.0641E−01


A12
−1.9159E+01
−7.0084E+00
 1.7126E+00
−1.9061E−02
 6.4248E−02


A14
 1.7693E+01
 2.9268E+00
−6.2160E−01
 1.4992E−02
−1.1187E−02


A16
−8.2859E+00
−8.5757E−01
 1.1434E−01
−2.0511E−03
 8.3703E−04


A18







A20









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.
The exact parameters of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:















|TDT|
 0.5643%
InRS51
−0.488487


|ODT|
1.01225%
InRS52
−0.395252


ΣPP
19.0837
|InRS51|/TP5
 1.4929


ΣNP
−3.9469
|InRS52|/TP5
 1.2079


f1/ΣPP
 0.0886
HIF511
 0.97271


f6/ΣNP
 0.4000
HIF521
 0.226561


IN12/f
 0.0159
HIF522
 0.641323


HOS/f
 1.1784
HIF523
 1.694681


HOS
 3.344097
HIF311
 0.242051


InTL
 2.655183
HIF312
 0.516971


HOS/HOI
 1.4540
HIF321
 0.260156


InS/HOS
 0.9558
HIF322
 0.580997


InTL/HOS
 0.7940
|f/f1|
 1.6780


ΣTP/InTL
 0.6056
|f/f2|
 1.1983


(TP1 + IN12)/TP2
 2.0721
|f/f3|
 0.1831


(TP5 + IN45)/TP4
 1.7271
|f/f4|
 1.5008


(TP2 + TP3 + TP4)/ΣTP
 0.5482
|f/f5|
 1.7974









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.

## Claims

1. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising:
a first lens having positive refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having refractive power;
a fifth lens having refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses with refractive power; at least two of the five lenses each has at least an inflection point on a surface thereof; at least one of the lenses from the second lens to the fifth lens has positive refractive power; the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side, and both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.2≦f/HEP≦2.8 and 0.5≦HOS/f≦2.5;


where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; and HOS is a distance in parallel with the optical axis from an object-side surface of the first lens to the image plane;
wherein the optical image capturing system further satisfies:


|TDT|<1.5%; and |ODT|<2.5%; and



39 deg≦HAF≦70 deg;


where HAF is a half of a view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion.

2. The optical image capturing system of claim 1, wherein the third lens has at least an inflection point on each surface thereof, and the fifth lens has at least an inflection point on each surface thereof.

3. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:


0 mm<HIF≦5 mm;

where HIF is a distance perpendicular to the optical axis between any inflection point and the optical axis.

4. The optical image capturing system of claim 3, wherein the optical image capturing system further satisfies:


0<HIF/InTL≦5;

where InTL is a distance in parallel with the optical axis between the object-side surface of the first lens and the image-side surface of the fifth lens.

5. The optical image capturing system of claim 3, wherein the optical image capturing system further satisfies:


0<SGI≦1 mm;

where SGI is a displacement in parallel with the optical axis from a point on each surface of each of the first lens to the fifth lens, through which the optical axis passes, to the inflection point on said surface.

6. The optical image capturing system of claim 1, wherein the fourth lens has positive refractive power, and the fifth lens has negative refractive power.

7. The optical image capturing system of claim 1, wherein the optical image capturing system further satisfies:


0.6≦InTL/HOS≦0.9;

where InTL is a distance in parallel with the optical axis between an object-side surface, which faces the object side, of the first lens and the image-side surface of the fifth lens.

8. The optical image capturing system of claim 4, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:


0.6≦InS/HOS≦1.1 and 0<HIF/HOI≦0.9;

where InS is a distance in parallel with the optical axis between the aperture and the image plane; and HOI is a height for an image formation of the optical image capturing system.

9. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising:
a first lens having positive refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having refractive power;
a fifth lens having refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses with refractive power; at least two of the five lenses each has at least an inflection point on a surface thereof; at least one of the lenses from the second lens to the fourth lens has positive refractive; the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side, and both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.2≦f/HEP≦2.8;



0.5≦HOS/f≦2.5;



0.81≦|tan(HAF)|≦1.5;



|TDT|<1.5%; and |ODT|≦2.5%;


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 a view angle of the optical image capturing system; TDT is a TV distortion; and ODT is an optical distortion.

10. The optical image capturing system of claim 9, wherein the first lens has at least an inflection point on each surface thereof, the third lens has at least an inflection point on each surface thereof, and the fifth lens has at least an inflection point on each surface thereof.

11. The optical image capturing system of claim 9, wherein the third lens has a plurality of inflection points on at least a surface thereof.

12. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:


0 mm<HOS≦5 mm.

13. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:


0<InTL≦4 mm;

where InTL 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-side surface of the fifth lens.

14. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:


0<ΣTP≦3 mm;

where ΣTP is a sum of central thicknesses of the lenses on the optical axis.

15. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:


0<SGI521/(TP5+SGI521)≦0.5;

where 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, which is the closest to the optical axis, on the image-side surface of the fifth lens; and TP5 is a thickness of the fifth lens on the optical axis.

16. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:


IN12/f≦0.2;

where IN12 is a distance on the optical axis between the first lens and the second lens.

17. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:


0.01≦f1/(f1+f3+f4)≦0.8;

where f1 is a focal length of the first lens; f3 is a focal length of the third lens; and f4 is a focal length of the fourth lens.

18. The optical image capturing system of claim 9, wherein the optical image capturing system further satisfies:


0<|f/f1|≦2; 0<|f/f2|≦2; 0<|f/f3|≦2; 0<|f/f4|≦2; and 0<|f/f5|≦2;

where f2 is a focal length of the second length; and f5 is a focal length of the fifth lens.

19. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising:
a first lens having positive refractive power, and having at least an inflection point on an image-side surface, which faces the image side;
a second lens having refractive power;
a third lens having refractive power, and having at least an inflection point on an image-side surface, which faces the image side, and an object-side surface, which faces the object side, respectively;
a fourth lens having refractive power;
a fifth lens having refractive power, and having at least an inflection point on an image-side surface, which faces the image side, and an object-side surface, which faces the object side, respectively; and
an image plane;
wherein the optical image capturing system consists of the five lenses having refractive power; the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side, and both the object-side surface and the image-side surface of the fifth lens are aspheric surfaces;
wherein the optical image capturing system satisfies:


1.2≦f/HEP≦2.8;



0.81≦|tan(HAF)|≦1.5;



0.5≦HOS/f≦2.5;



|TDT|<1.5%; and



|ODT|≦2.5%;


where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HAF is a half of a view angle 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; TDT is a TV distortion; and ODT is an optical distortion.

20. The optical image capturing system of claim 19, wherein the optical image capturing system further satisfies:


0 mm<HIF≦5 mm;

where HIF is a distance perpendicular to the optical axis between the inflection points and the optical axis.

21. The optical image capturing system of claim 19, wherein the optical image capturing system further satisfies:


0.6≦InTL/HOS≦0.9;

where InTL is a distance in parallel with the optical axis between an object-side surface, which faces the object side, of the first lens and the image-side surface of the fifth lens.

22. The optical image capturing system of claim 19, wherein the third lens has at least two inflection points on an object-side surface, which faces the object side, and the fifth lens has at least an inflection point on each surface thereof; and the optical image capturing system further satisfies:


0.01≦f1/(f1+f3+f4)≦0.8 and 0.01≦f5/(f2+f5)≦0.8;

where f1 is a focal length of the first lens; f2 is a focal length of the second length; f3 is a focal length of the third lens; and f4 is a focal length of the fourth lens; and f5 is a focal length of the fifth lens.

23. The optical image capturing system of claim 22, wherein the optical image capturing system further satisfies:


0.45<ΣTP/InTL≦0.95;

where ΣTP is a sum of central thicknesses of the lenses on the optical axis; and InTL is a distance between an object-side surface, which face the object side, of the first lens and the image-side surface of the fifth lens.

24. The optical image capturing system of claim 22, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:
where InS is a distance in parallel with the optical axis between the aperture and the image plane.