# 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 refractive power having an object-side surface which can be convex; a second lens with refractive power; a third lens with refractive power; a fourth lens with negative refractive power; and a fifth lens which can have negative refractive power, wherein an image-side surface thereof can be concave, and at least one surface of the fifth lens has an inflection point; both surfaces of each of the five lenses are aspheric. The optical lens can increase aperture value and improve the imaging 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.
SUMMARY OF THE INVENTION
The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic products.
The term and its definition to the lens parameter in the embodiment of the present are shown as below for further reference.
The lens parameter related to a length or a height in the lens element:
A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens element to the image-side surface of the fifth lens element is denoted by InTL. A distance from the image-side surface of the fifth lens to the image plane is denoted by InB. InTL+InB=HOS. A distance from the first lens element to the second lens element is denoted by IN12 (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (instance).
The lens parameter related to a material in the lens:
An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens element is denoted by Nd1 (instance).
The lens parameter related to a view angle in the lens:
A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA.
The lens parameter related to exit/entrance pupil in the lens
An entrance pupil diameter of the optical image capturing system is denoted by HEP.
The lens parameter related to a depth of the lens shape
A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the object-side surface of the fifth lens is denoted by InRS51 (instance). A distance in parallel with an optical axis from a maximum effective semi diameter position to an axial point on the image-side surface of the fifth lens is denoted by InRS52 (instance).
The lens parameter related to the lens shape:
A critical point C is a tangent point on a surface of a specific lens, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens and the optical axis is HVT41 (instance). A distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens and the optical axis is HVT42 (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 imaging 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≦3.0;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; 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 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≦3.0; 0.4≦|tan(HAF)|≦3.0; |TDT|<60%; and |ODT|≦50%;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; 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 have at least an inflection point on a side thereof respectively. 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 negative refractive power. The fifth lens has negative refractive power, wherein an image-side surface thereof has at least an inflection point, and both an object-side surface and the image side surface thereof are aspheric surfaces. The optical image capturing system satisfies:

1.2≦f/HEP≦2.8; 0.5≦HOS/f≦3.0; 0.4≦|tan(HAF)|≦3.0; |TDT|<60%; and |ODT|≦50%;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance in parallel with the optical axis between an object-side surface, which face the object side, of the first lens and the image plane; HAF is a half of the view angle of the optical image capturing system; TDT is a TV distortion; 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 size is 1/2.3′′, and a preferable pixel size of the image sensor is less than 1.12 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 (4K2K, 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 can be concave, it may reduce back focal length and size. Besides, the fifth lens has at least an inflection point on at least 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.



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 fourth 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 three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 mm is the main reference wavelength, and 555 nm is adopted as the main reference wavelength for extracting features.
The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦2.5, and a preferable range is 1≦ΣPPR/|ΣNPR|≦2.0, where PPR is a ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive power; NPR is a ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive power; ΣPPR is a sum of the PPRs of each positive lens, and ΣNPR is a sum of the NPRs of each negative lens. It is helpful to control of an entire refractive power and an entire length of the optical image capturing system.
HOS is a height of the optical image capturing system, and when the ratio of HOS/f approaches to 1, it is helpful for 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 fn of each lens with negative refractive power. It is helpful to control of focusing capacity of the system and redistribution of the positive refractive powers of the system to avoid the significant aberration in early time. The optical image capturing system further satisfies ΣNP<−0.1 and f5/ΣNP≦0.85, and preferably 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 can be 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 can have negative refractive power, which may correct the aberration of the first lens.
The third lens can have positive refractive power, which may share the positive refractive power of the first lens.
The fourth lens can have negative refractive power, and an image-side surface thereof, which faces the image side, can be convex. 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, can be 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≦3.0, and a preferable range is 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2, where HOI is height for image formation of the optical image capturing system, i.e., the maximum image height, and HOS is a height of the optical image capturing system, i.e., a distance on the optical axis between the object-side surface of the first lens and the image plane. It is helpful for reduction of size of the system for used in compact cameras.
The optical image capturing system of the present invention further is provided with an aperture to increase image quality.
In the optical image capturing system of the present invention, the aperture could be a front aperture or a middle aperture, wherein the front aperture is provided between the object and the first lens, and the middle is provided between the first lens and the image plane. The front aperture provides a long distance between an exit pupil of the system and the image plane, which allows more elements to be installed. The middle could enlarge a view angle of view of the system and increase the efficiency of the image sensor. The optical image capturing system satisfies 0.5≦InS/HOS≦1.1, and a preferable range is 0.8≦InS/HOS≦1, where InS is a distance between the aperture and the image plane. It is helpful for 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 for the contrast of image and yield of manufacture, and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the present invention satisfies 0.1≦|R1/R2|≦5, and a preferable range is 0.1≦|R1/R2|≦4, where R1 is a radius of curvature of the object-side surface of the first lens, and R2 is a radius of curvature of the image-side surface of the first lens. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the present invention satisfies −200<(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)/TP2≦10, where TP1 is a central thickness of the first lens on the optical axis, and TP2 is a central thickness of the second lens on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.2≦(TP5+IN45)/TP4≦3, where TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and IN45 is a distance between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the present invention satisfies 0.1≦(TP2+TP3+TP4)/ΣTP≦0.9, and a preferable range is 0.4≦(TP2+TP3+TP4)/ΣTP≦0.8, where TP2 is a central thickness of the second lens on the optical axis, TP3 is a central thickness of the third lens on the optical axis, TP4 is a central thickness of the fourth lens on the optical axis, TP5 is a central thickness of the fifth lens on the optical axis, and 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 −1.5 mm≦InRS51≦1.5 mm; −1.5 mm≦InRS52≦1.5 mm; 0 mm≦|InRS51|+|InRS52|≦3 mm; 0.01≦|InRS51|/TP5≦10; and 0.01≦|InRS52|/TP5≦10, where InRS51 is a displacement in parallel with the optical axis from a point on the object-side surface of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface of the 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 of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface of the fifth lens; and TP5 is a central thickness of the fifth lens on the optical axis. It may control the positions of the maximum effective semi diameter 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 0.1≦SGI512/(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 0.01≦HIF511/HOI≦0.9 and 0.01≦HIF521/HOI≦0.9, and a preferable range is 0.09≦HIF511/HOI≦0.5 and 0.09≦HIF521/HOI≦0.5, where HIF511 is a distance perpendicular to the optical axis between the inflection point, 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 for 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 for 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 for size reduction and wide angle.
The optical image capturing system of the present invention could be applied in dynamic focusing optical system. It is superior in correction of aberration and high imaging quality so that it could be allied in lots of fields.
We provide several embodiments in conjunction with the accompanying drawings for the best understanding, which are:
First Embodiment
As shown in FIG. 1A and FIG. 1B, an optical image capturing system 100 of the first preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 100, a first lens 110, a second lens 120, a third lens 130, a fourth lens 140, a fifth lens 150, an infrared rays filter 170, an image plane 180, and an image sensor 190.
The first lens 110 has positive refractive power, and is made of plastic. An object-side surface 112 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 114 thereof, which faces the image side, is a concave aspheric surface, and the image-side surface has an inflection point. The first lens 110 satisfies SGI121=0.0387148 mm and |SGI121|/(|SGI121|+TP1)=0.061775374, where SGI121 is a displacement in parallel with the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The first lens 110 further satisfies HIF121=0.61351 mm and HIF121/HOI=0.209139253, where HIF121 is a displacement perpendicular to the optical axis from a point on the image-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis.
The second lens 120 has negative refractive power, and is made of plastic. An object-side surface 122 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 124 thereof, which faces the image side, is a convex aspheric surface, and the image-side surface 124 has an inflection point. The second lens 120 satisfies SGI221=−0.0657553 mm and |SGI221|/(|SGI221|+TP2)=0.176581512, where SGI221 is a displacement in parallel with the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The second lens further satisfies HIF221=0.84667 mm and HIF221/HOI=0.288621101, where HIF221 is a displacement perpendicular to the optical axis from a point on the image-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis.
The third lens 130 has negative refractive power, and is made of plastic. An object-side surface 132, which faces the object side, is a concave aspheric surface, and an image-side surface 134, which faces the image side, is a convex aspheric surface, and each of them has two inflection points. The third lens 130 satisfies SGI311=−0.341027 mm; SGI321=−0.231534 mm and |SGI311|/(|SGI311|+TP3)=0.525237108 and |SGI321|/(|SGI321|+TP3)=0.428934269, where SGI311 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI321 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The third lens 130 satisfies SGI312=−0.376807 mm; SGI322=−0.382162 mm; |SGI312|/(|SGI312|+TP5)=0.550033428; |SGI322|/(|SGI322|+TP3)=0.55352345, where SGI312 is a displacement in parallel with the optical axis, from a point on the object-side surface of the third lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI322 is a displacement in parallel with the optical axis, from a point on the image-side surface of the third lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis.
The third lens 130 further satisfies HIF311=0.987648 mm; HIF321=0.805604 mm; HIF311/HOI=0.336679052; and HIF321/HOI=0.274622124, where HIF311 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the closest to the optical axis, and the optical axis, and HIF321 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the third lens, which is the closest to the optical axis, and the optical axis.
The third lens 130 further satisfies HIF312=1.0493 mm; HIF322=1.17741 mm; HIF312/HOI=0.357695585; and HIF322/HOI=0.401366968, where HIF312 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis, and HIF322 is a distance perpendicular to the optical axis, between the inflection point on the image-side surface of the third lens, which is the second the closest to the optical axis, and the optical axis.
The fourth lens 140 has positive refractive power, and is made of plastic. Both an object-side surface 142, which faces the object side, and an image-side surface 144, which faces the image side, thereof are convex aspheric surfaces, and the object-side surface 142 has an inflection point. The fourth lens 140 satisfies SGI411=0.0687683 mm and |SGI411|/(|SGI411|+TP4)=0.118221297, where SGI411 is a displacement in parallel with the optical axis from a point on the object-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis.
The fourth lens 140 further satisfies HIF411=0.645213 mm and HIF411/HOI=0.21994648, where HIF411 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
The fifth lens 150 has negative refractive power, and is made of plastic. Both an object-side surface 152, which faces the object side, and an image-side surface 154, which faces the image side, thereof are concave aspheric surfaces. The object-side surface 152 has three inflection points, and the image-side surface 154 has an inflection point. The fifth lens 150 satisfies SGI511=−0.236079 mm; SGI521=0.023266 mm; |SGI511|/(|SGI511|+TP5)=0.418297214; and |SGI521|/(|SGI521|+TP5)=0.066177809, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The fifth lens 150 further satisfies SGI512=−0.325042 mm and |SGI512|/(|SGI512|+TP5)=0.497505143, where SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis.
The fifth lens 150 further satisfies SGI513=−0.538131 mm; and |SGI513|/(|SGI513|+TP5)=0.621087839, where SGI513 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the third closest to the optical axis.
The fifth lens 150 further satisfies HIF511=1.21551 mm; HIF521=0.575738 mm; HIF511/HOI=0.414354866; and HIF521/HOI=0.196263167, where HIF511 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis, and HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis.
The fifth lens 150 further satisfies HIF512=1.49061 mm and HIF512/HOI=0.508133629, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second the closest to the optical axis, and the optical axis.
The fifth lens 150 further satisfies HIF513=2.00664 mm and HIF513/HOI=0.684042952, where HIF513 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis.
The infrared rays filter 170 is made of glass, and between the fifth lens 150 and the image plane 180. The infrared rays filter 170 gives no contribution to the focal length of the system.
The optical image capturing system of the first preferred embodiment has the following parameters, which are f=3.73172 mm; f/HEP=2.05; and HAF=37.5 degrees and tan(HAF)=0.7673, where f is a focal length of the system; HAF is a half of the maximum field angle; and HEP is an entrance pupil diameter.
The parameters of the lenses of the first preferred embodiment are f1=3.7751 mm; |f/f1|=0.9885; f5=−3.6601 mm; |f1|>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 fn of each of lenses with negative refractive power.
The optical image capturing system of the first preferred embodiment further satisfies InTL+InB=HOS; HOS=4.5 mm; HOI=2.9335 mm; HOS/HOI=1.5340; HOS/f=1.2059; InTL/HOS=0.7597; 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 for the contrast of image and yield of manufacture, and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the first preferred embodiment further satisfies |R1/R2|=0.3261, where R1 is a radius of curvature of the object-side surface 112 of the first lens 110, and R2 is a radius of curvature of the image-side surface 114 of the first lens 110. It provides the first lens with a suitable positive refractive power to reduce the increase rate of the spherical aberration.
The optical image capturing system of the first preferred embodiment further satisfies (R9−R10)/(R9+R10)=−2.9828, where R9 is a radius of curvature of the object-side surface 152 of the fifth lens 150, and R10 is a radius of curvature of the image-side surface 154 of the fifth lens 150. It may modify the astigmatic field curvature.
The optical image capturing system of the first preferred embodiment further satisfies ΣPP=f1+f4=7.5444 mm and f1/(f1+f4)=0.5004, where ΣPP is a sum of the focal lengths fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the first lens 110 to the other positive lens 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 fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the fifth lens 150 to 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 IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system of the first preferred embodiment further satisfies TP3=0.3083 mm and (TP2+TP3+TP4)/ΣTP=0.5517, where TP2, TP3, and TP4 are thicknesses on the optical axis of the second, the third, and the fourth lenses, and ΣTP is a sum of the central thicknesses of all the lenses with refractive power on the optical axis. It may finely modify the aberration of the incident rays and reduce the height of the system.
The optical image capturing system of the first preferred embodiment further satisfies InRS51=−0.576871 mm; InRS52=−0.555284 mm; |InRS51|+|InRS52|=1.1132155 mm; |InRS51|/TP5=1.7571; and |InRS52|/TP5=1.691, where InRS51 is a displacement in parallel with the optical axis from a point on the object-side surface 152 of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the object-side surface 152 of the fifth lens; InRS52 is a displacement in parallel with the optical axis from a point on the image-side surface 154 of the fifth lens, through which the optical axis passes, to a point at the maximum effective semi diameter of the image-side surface 154 of the fifth lens; and TP5 is a central thickness of the fifth lens 150 on the optical axis. It is helpful for manufacturing and shaping of the lenses, and is helpful to reduce the size.
The second lens 120 and the fifth lens 150 of the optical image capturing system of the first preferred embodiment have negative refractive power, and the optical image capturing system further satisfies NA5/NA2=2.5441, where NA2 is an Abbe number of the second lens 120, and NA5 is an Abbe number of the fifth lens 150. It may correct the aberration of the system.
The optical image capturing system of the first preferred embodiment further satisfies |TDT|=0.6343% and |ODT|=2.5001%, where TDT is TV distortion; and ODT is optical distortion.
The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.







TABLE 1







f = 3.73172 mm; f/HEP = 2.05; HAF = 37.5 deg; tan(HAF) = 0.7673














Radius of curvature
Thickness

Refractive
Abbe
Focal length


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

















0
Object
plane
infinity






1
Aperture
plane
−0.30784


2
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
plane
−0.00289





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, a first lens 210, an aperture 200, a second lens 220, a third lens 230, a fourth lens 240, a fifth lens 250, an infrared rays filter 270, an image plane 280, and an image sensor 290.
The first lens 210 has positive refractive power, and is made of plastic. An object-side surface 212 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 214 thereof, which faces the image side, is a convex aspheric surface, and each of them has an inflection point respectively.
The second lens 220 has negative refractive power, and is made of plastic. An object-side surface 222 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 224 thereof, which faces the image side, is a concave aspheric surface.
The third lens 230 has positive refractive power, and is made of plastic. An object-side surface 232, which faces the object side, is a convex aspheric surface, and an image-side surface 234, which faces the image side, is a convex aspheric surface. The object-side surface 232 has an inflection point thereon.
The fourth lens 240 has negative refractive power, and is made of plastic. An object-side surface 242 thereof, which faces the object side, is a concave aspheric surface, and an image-side surface 244 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 242 and the image-side surface 244 both have two inflection points thereon.
The fifth lens 250 has negative refractive power, and is made of plastic. An object-side surface 252 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 254 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 252 and the image-side surface 254 both have an inflection point.
The infrared rays filter 270 is made of glass, and between the fifth lens 250 and the image plane 280. The infrared rays filter 270 gives no contribution to the focal length of the system.
The optical image capturing system of the second preferred embodiment has the following parameters, which are |f2|+|f3|+|f4|=114.8894 mm; |f1|+|f5|=10.1200 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=0.4410 mm and TP5=0.5313 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 and the third lenses 210, 230 are positive lenses, and their focal lengths are f1 and f3 respectively. The optical image capturing system of the second preferred embodiment further satisfies ΣPP=f1+f3=8.8653 mm and f1/(f1+f3)=0.7708, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 210 to the other positive lens to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the second preferred embodiment further satisfies ΣNP=f2+f4+f5=−116.1440 mm and f5/(f2+f4+f5)=0.1107, where f2, f4 and f5 are focal lengths of the second lens 220, the fourth lens 240, and the fifth lenses 250, and ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 250 to 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 = 3.04499 mm; f/HEP = 1.4; HAF = 50.0014 deg; tan(HAF) = 1.1918



















Focal



Radius of
Thickness

Refractive

length


Surface
curvature (mm)
(mm)
Material
index
Abbe number
(mm)

















0
Object
plane
infinity






1
1st lens
−11.5199
0.633953
plastic
1.65
21.4
6.83352


2

−3.29534
0.539549


3
Aperture
plane
−0.26732


4
2nd lens
5.32819
0.256081
plastic
1.514
56.8
−12.8556


5

2.90562
0.214751


6
3rd lens
5.76049
2.25
plastic
1.565
58
2.03175


7

−1.23591
0.068369


8
4th lens
−1.22369
0.44095
plastic
1.65
21.4
−100.002


9

−1.42488
0.43528


10
5th lens
20.15529
0.531272
plastic
1.583
30.2
−3.28643


11

1.74207
0.4


12
Filter
plane
0.2

1.517
64.2


13

plane
0.369886


14
Image
plane
0.066676



plane





Reference wavelength: 555 nm. The clear aperture of the first surface is 1.7 mm; the clear aperture of the sixth surface is 1.0 mm













TABLE 4





Coefficients of the aspheric surfaces

















Surface














1
2
4
5
6
7





k =
−32.111489
−29.043197
20.538497
2.893875
7.796234


A4 =
1.70448E−02
5.44336E−02
2.36690E−01
1.25318E−01
−1.94309E−02
9.12064E−02


A6 =
8.58212E−03
−1.58941E−02
−2.84178E−01
−2.75917E−01
3.54828E−02
−3.25066E−02


A8 =
−4.73154E−03
8.98647E−03
1.97091E−01
2.44372E−01
−9.14755E−02
1.21732E−02


A10 =
1.82736E−03
2.30323E−03
−3.05007E−02
−5.88377E−02
−1.34040E−02
−7.31762E−04


A12 =
−4.01244E−04
−3.78821E−03
−4.55037E−02
−6.05169E−02
1.12767E−01
−1.42096E−03


A14 =
4.46980E−05
1.21091E−03
2.24753E−02
3.46406E−02
−6.98898E−02
4.50126E−04













Surface















8
9
10
11







k =
−0.529239
−0.595565
−50
−5.806512



A4 =
2.85489E−02
2.23253E−02
−8.92450E−02
−2.98001E−02



A6 =
2.77193E−02
5.27678E−03
2.78230E−02
5.50570E−03



A8 =
−7.88676E−04
5.95196E−03
−8.37179E−03
−8.32298E−04



A10 =
−7.39920E−04
−1.24426E−03
−4.17360E−05
4.58552E−05



A12 =
2.04814E−04
1.84562E−04
6.66916E−04
2.88566E−06



A14 =
7.88900E−05
−3.09911E−05
−1.11326E−04
−3.94115E−07










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 (with 555 nm as the main reference wavelength) based on Table 3 and Table 4 are listed in the following table:















|TDT|
1.0832%
InRS41
−0.8325


|ODT|
1.9986%
InRS42
−0.7040


ΣPP
8.8653
InRS51
−0.8519


ΣNP
−116.1440
InRS52
−0.4117


f1/ΣPP
0.7708
|InRS51|/TP5
1.4205


f5/ΣNP
0.1107
|InRS52|/TP5
0.6866


IN12/f
0.0894
(|InRS42| + |InRS51|)/
3.5744




IN45


HOS/f
2.0162
HVT51
0.3839


HOS
6.1394
HVT52
1.8828


InTL
5.1029
HVT51/HOI
0.1026


HOS/HOI
1.6416
HVT52/HOI
0.5034


InS/HOS
0.8089
HVT52/HOS
0.3067


InTL/HOS
0.8312
|f/f1|
0.4456


ΣTP/InTL
0.8059
|f/f2|
0.2369


(TP1 + IN12)/TP2
3.5386
|f/f3|
1.4987


(TP5 + IN45)/TP4
2.1920
|f/f4|
0.0304


(TP2 + TP3 + TP4)/ΣTP
0.7166
|f/f5|
0.9265









The exact parameters related to inflection points of the second embodiment (with main reference wavelength as 555 nm) based on Table 3 and Table 4 are listed in the following table:



















HIF111
0.54717
HIF111/HOI
0.14630
SGI111
−0.01105
|SGI111|/(|SGI111| + TP1)
0.01713


HIF121
0.50238
HIF121/HOI
0.13433
SGI121
−0.03027
|SGI121|/(|SGI121| + TP1)
0.04557


HIF311
0.65171
HIF311/HOI
0.17425
SGI311
0.03451
|SGI311|/(|SGI311| + TP3)
0.05162


HIF411
1.16832
HIF411/HOI
0.31239
SGI411
−0.51592
|SGI411|/(|SGI411| + TP4)
0.44868


HIF412
1.60870
HIF412/HOI
0.43013
SGI412
−0.80388
|SGI412|/(|SGI412| + TP4)
0.55909


HIF421
1.14342
HIF421/HOI
0.30573
SGI421
−0.43001
|SGI421|/(|SGI421| + TP4)
0.40416


HIF422
1.81927
HIF422/HOI
0.48644
SGI422
−0.70301
|SGI422|/(|SGI422| + TP4)
0.52583


HIF511
0.21828
HIF511/HOI
0.05836
SGI511
0.00098
|SGI511|/(|SGI511| + TP5)
0.00154


HIF521
0.84145
HIF521/HOI
0.22499
SGI521
0.15227
|SGI521|/(|SGI521| + TP5)
0.19367









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, a first lens 310, an aperture 300, a second lens 320, a third lens 330, a fourth lens 340, a fifth lens 350, an infrared rays filter 370, an image plane 380, and an image sensor 390.
The first lens 310 has positive refractive power, and is made of plastic. An object-side surface 312 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 314 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 312 and the image-side surface 314 both have an inflection point thereon.
The second lens 320 has negative refractive power, and is made of plastic. An object-side surface 322 thereof, which faces the object side, is a convex aspheric surface; while an image-side surface 324 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 322 and the image-side surface 324 both have an inflection point thereon.
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.
The fourth lens 340 has a negative 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 object-side surface 342 has two inflection points thereon.
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 two inflection points, and the image-side surface 354 has an inflection point.
The infrared rays filter 370 is made of glass, and between the fifth lens 350 and the image plane 380. The infrared rays filter 370 gives no contribution to the focal length of the system.
The parameters of the lenses of the third preferred embodiment are |f2|+|f3|+|f4|=109.5899 mm; |f1|+|f5|=8.8602 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=0.5368 mm and TP5=0.3381 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+f3=7.7668 mm and f1/(f1+f3)=0.7975, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 310 to the other positive lens to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the third preferred embodiment further satisfies ΣNP=f2+f4+f5=−110.6832 mm and f5/(f2+f4+f5)=0.9035, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 350 to other lenses with negative refractive power.
The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.







TABLE 5







f = 3.12928 mm; f/HEP = 1.6; HAF = 49.9989 deg; tan(HAF) = 1.1917



















Focal



Radius of
Thickness

Refractive

length


Surface
curvature (mm)
(mm)
Material
index
Abbe number
(mm)

















0
Object
plane
infinity






1
1st lens
2.17479
0.439545
plastic
1.565
30.2
6.19403


2

5.01406
0.143529


3
Aperture
plane
0.391924


4
2nd lens
21.87254
0.807168
plastic
1.565
58
−100


5

15.5714
0.198468


6
3rd lens
−10.4212
0.640669
plastic
1.565
58
1.57278


7

−0.83944
0.051804


8
4th lens
−1.01884
0.536834
plastic
1.565
26.6
−8.01707


9

−1.54344
0.683804


10
5th lens
−3.49326
0.338125
plastic
1.65
26.6
−2.66616


11

3.16565
0.3


12
Filter
plane
0.2

1.517
64.2


13

plane
0.246045


14
Image
plane
0.084534



plane





Reference wavelength: 555 nm. The clear aperture of the second surface is 1.15 mm; the clear aperture of the sixth surface is 1.4 mm













TABLE 6





Coefficients of the aspheric surfaces

















Surface














1
2
4
5
6
7





k =
−14.410401
−27.502948
50
6.437629
38.56702
−2.357464


A4 =
1.54287E−01
4.25401E−02
−8.89025E−02
−4.61798E−02
−1.12970E−01
1.81107E−02


A6 =
−9.29394E−02
−5.19366E−02
9.02399E−02
−1.12820E−02
1.08679E−02
−1.57741E−02


A8 =
2.58799E−02
4.23595E−02
−1.61847E−01
−1.08748E−03
7.76558E−04
6.40568E−03


A10 =
2.28794E−02
1.79752E−02
3.72701E−02
−4.01437E−03
9.34479E−04
1.24315E−03


A12 =
−1.57336E−02
−6.17245E−02
9.09078E−02
−5.56028E−03
−7.06209E−04
−2.87684E−04


A14 =
2.20896E−05
2.49091E−02
−7.44749E−02
1.56050E−03
−5.68331E−04
−5.07523E−04













Surface















8
9
10
11







k
−2.236569
−0.498113
−1.402819
−14.974414



A4
1.23225E−01
6.71654E−03
−6.65366E−02
−2.32053E−02



A6
−1.26790E−02
6.90319E−03
2.01675E−02
2.95881E−03



A8
−2.22656E−02
3.26373E−04
−9.13378E−04
−2.22849E−04



A10
4.04064E−03
−1.81551E−04
−3.57198E−04
9.89530E−06



A12
3.16419E−03
−4.85787E−05
7.54275E−05
2.46777E−07



A14
−1.38314E−03
1.18225E−06
−6.96187E−06
−8.80462E−08










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 (with 555 nm as the main reference wavelength) based on Table 5 and Table 6 are listed in the following table:















|TDT|
1.3431%
InRS41
−0.8779


|ODT|
2.0776%
InRS42
−1.1739


ΣPP
7.7668
InRS51
−1.0157


ΣNP
−110.6832
InRS52
−0.4889


f1/ΣPP
0.7975
|InRS51|/TP5
1.6936


f5/ΣNP
0.9035
|InRS52|/TP5
0.8152


IN12/f
0.1711
(|InRS42| + |InRS51|)/
3.2020




IN45


HOS/f
1.6178
HVT51
0


HOS
5.0625
HVT52
1.6048


InTL
4.2319
HVT51/HOI
0


HOS/HOI
1.3536
HVT52/HOI
0.4291


InS/HOS
0.8848
HVT52/HOS
0.3170


InTL/HOS
0.8359
|f/f1|
0.5052


ΣTP/InTL
0.6527
|f/f2|
0.0313


(TP1 + IN12)/TP2
1.2079
|f/f3|
1.9896


(TP5 + IN45)/TP4
1.9036
|f/f4|
0.3903


(TP2 + TP3 + TP4)/ΣTP
0.7185
|f/f5|
1.1737









The exact parameters related to inflection points of the second embodiment (with main reference wavelength as 555 nm) based on Table 5 and Table 6 are listed in the following table:



















HIF111
1.08504
HIF111/HOI
0.29012
SGI111
0.29743
|SGI111|/(|SGI111| + TP1)
0.40358


HIF121
0.85686
HIF121/HOI
0.22911
SGI121
0.07451
|SGI121|/(|SGI121| + TP1)
0.14495


HIF211
0.21938
HIF211/HOI
0.05866
SGI211
0.00090
|SGI211|/(|SGI211| + TP2)
0.00205


HIF221
0.33007
HIF221/HOI
0.08825
SGI221
0.00294
|SGI221|/(|SGI221| + TP2)
0.00664


HIF411
0.68404
HIF411/HOI
0.18290
SGI411
−0.17957
|SGI411|/(|SGI411| + TP4)
0.29004


HIF412
1.04281
HIF412/HOI
0.27883
SGI412
−0.31721
|SGI412|/(|SGI412| + TP4)
0.41917


HIF511
1.49205
HIF511/HOI
0.39894
SGI511
−0.45491
|SGI511|/(|SGI511| + TP5)
0.50859


HIF512
1.95532
HIF512/HOI
0.52281
SGI512
−0.71100
|SGI512|/(|SGI512| + TP5)
0.61797


HIF521
0.75369
HIF521/HOI
0.20152
SGI521
0.06976
|SGI521|/(|SGI521| + TP5)
0.13697









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 convex aspheric surface. The image-side surface 414 has an inflection point thereon.
The second lens 420 has negative refractive power, and is made of plastic. An object-side surface 422 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 424 thereof, which faces the image side, is a concave aspheric surface. The image-side surface 424 has an inflection point.
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.
The fourth lens 440 has negative refractive power, and is made of plastic. An object-side surface 442, which faces the object side, is a concave aspheric surface, and an image-side surface 444, which faces the image side, is a convex aspheric surface. The object-side surface 442 and the image-side surface 444 both have an inflection point.
The fifth lens 450 has negative refractive power, and is made of plastic. An object-side surface 452 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 454 thereof, which faces the image side, is a concave aspheric surface, and each of them has an inflection point.
The infrared rays filter 470 is made of glass, and between the fifth lens 450 and the image plane 480. The infrared rays filter 470 gives no contribution to the focal length of the system.
The optical image capturing system of the fourth preferred embodiment has the following parameters, which are |f2|+|f3|+|f4|=203.9003 mm; |f1|+|f5|=22.2372 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=0.9894 mm and TP5=1.2227 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 and the third lenses 410, 430 are positive lenses, and their focal lengths are f1 and f3 respectively. The optical image capturing system of the fourth preferred embodiment further satisfies ΣPP=f1+f3=9.5002 mm and f1/(f1+f3)=0.5894, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 410 to the other positive lens to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fourth preferred embodiment further satisfies ΣNP=f2+f4+f5=−216.6373 mm and f5/(f2+f4+f5)=0.4616, where f2, f4 and f5 are focal lengths of the second, the fourth and the fifth lenses 420, 440, 450, and ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 450 to 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 = 3.01798 mm; f/HEP = 1.8; HAF = 50.0004 deg; tan(HAF) = 1.1919



















Focal



Radius of
Thickness

Refractive

length


Surface
curvature (mm)
(mm)
Material
index
Abbe number
(mm)

















0
Object
plane
infinity






1
1st lens
3.75369
0.4562
plastic
1.65
21.4
5.59985


2

−157.435
0.113279


3
Aperture
plane
−0.06648


4
2nd lens
28.90376
0.320317
plastic
1.514
56.8
−100


5

18.45196
0.201419


6
3rd lens
−31.8535
0.659507
plastic
1.565
58
3.90033


7

−2.08265
0.205949


8
4th lens
−1.26402
0.989365
plastic
1.607
26.6
−100


9

−1.67392
0.22823


10
5th lens
2.3755
1.222658
plastic
1.65
21.4
−16.6373


11

1.55309
0.6


12
Filter
plane
0.2

1.517
64.2


13

plane
0.195782


14
Image
plane
0.096747



plane





Reference wavelength: 555 nm













TABLE 8





Coefficients of the aspheric surfaces

















Surface














1
2
4
5
6
7





k =
−8.042882
50
−50
−47.982794
50
−26.437942


A4 =
6.82441E−03
1.30006E−01
1.99202E−01
5.30446E−06
−9.18258E−02
−3.38060E−01


A6 =
5.97843E−02
2.24690E−01
−1.37348E−01
−1.93461E−01
2.72351E−01
3.40964E−01


A8 =
−9.56620E−02
−1.34470E+00
−5.66653E−02
2.40029E−01
−1.23632E+00
−2.61390E−01


A10 =
9.72689E−02
3.39344E+00
4.89504E−01
−8.80032E−02
2.19953E+00
−2.16524E−01


A12 =
−5.24899E−02
−4.04253E+00
−8.06183E−01
−4.32311E−01
−1.96382E+00
3.49961E−01


A14 =
1.21078E−02
1.93995E+00
5.17467E−01
4.28065E−01
5.82683E−01
−1.40299E−01













Surface















8
9
10
11







k
0.13763
−0.321395
−37.255342
−6.398451



A4
5.12102E−02
−1.73098E−01
−6.68346E−02
−2.17676E−02



A6
−1.99088E−01
2.26228E−01
1.16924E−02
2.88036E−03



A8
4.32664E−01
−1.85927E−01
−3.24423E−03
−2.62255E−04



A10
−6.02790E−01
9.15231E−02
3.68664E−04
2.75067E−06



A12
3.21026E−01
−2.53160E−02
−3.20460E−05
9.15856E−07



A14
−1.49719E−02
3.44062E−03
1.84028E−06
−4.79682E−08










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 (with 555 nm as the main reference wavelength) based on Table 7 and Table 8 are listed in the following table:















|TDT|
0.2212%
InRS51
−0.6850


|ODT|
2.0284%
InRS52
−0.8720


ΣPP
9.5002
|InRS51|/TP5
−0.3890


ΣNP
−216.6373
|InRS52|/TP5
0.0034


f1/ΣPP
0.5894
HIF511
0.6487


f5/ΣNP
0.4616
HIF512
0.0056


IN12/f
0.0155
HIF521
5.5250


HOS/f
1.7969
HIF522
0.8731


HOS
5.4230
HIF311
2.0611


InTL
4.3305
HIF312
0.2334


HOS/HOI
1.4500
HIF321
0.5511


InS/HOS
0.8950
HIF322
0.3801


InTL/HOS
0.7985
|f/f1|
0.5389


ΣTP/InTL
0.8424
|f/f2|
0.0302


(TP1 + IN12)/TP2
1.5703
|f/f3|
0.7738


(TP5 + IN45)/TP5
1.4665
|f/f4|
0.0302


(TP2 + TP3 + TP4)/ΣTP
0.5398
|f/f5|
0.1814









The exact parameters related to inflection points of the second embodiment (with main reference wavelength as 555 nm) based on Table 7 and Table 8 are listed in the following table:



















HIF121
0.06326
HIF121/HOI
0.01691
SGI121
−0.00001
|SGI121|/(|SGI121| + TP1)
0.00002


HIF211
0.32945
HIF211/HOI
0.08809
SGI211
0.00271
|SGI211|/(|SGI211| + TP2)
0.00591


HIF212
0.85797
HIF212/HOI
0.22940
SGI212
−0.02489
|SGI212|/(|SGI212| + TP2)
0.05174


HIF411
1.01806
HIF411/HOI
0.27221
SGI411
−0.55195
|SGI411|/(|SGI411| + TP4)
0.54749


HIF421
1.29897
HIF421/HOI
0.34732
SGI421
−0.68143
|SGI421|/(|SGI421| + TP4)
0.59899


HIF511
0.42332
HIF511/HOI
0.11319
SGI511
0.02850
|SGI511|/(|SGI511| + TP5)
0.05880


HIF521
0.85509
HIF521/HOI
0.22863
SGI521
0.16885
|SGI521|/(|SGI521| + TP5)
0.27014









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, a first lens 510, an aperture 500, a second lens 520, a third lens 530, a fourth lens 540, a fifth lens 550, an infrared rays filter 570, an image plane 580, and an image sensor 590.
The first lens 510 has positive refractive power, and is made of plastic. An object-side surface 512 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 514 thereof, which faces the image side, is a concave aspheric surface.
The second lens 520 has negative refractive power, and is made of plastic. An object-side surface 522 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 524 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 522 and the image-side surface 524 both have an inflection point thereon.
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 convex aspheric surface. The object-side surface 532 has an inflection point.
The fourth lens 540 has a negative refractive power, and is made of plastic. An object-side surface 542, which faces the object side, is a concave aspheric surface, and an image-side surface 544, which faces the image side, is a convex aspheric surface. The image-side surface 544 has an inflection point thereon.
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 concave aspheric surface, and an image-side surface 554, which faces the image side, thereof is a concave aspheric surface. The image-side surface 554 has an inflection point thereon.
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|=108.0843 mm; |f1|+|f5|=8.2967 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=0.5988 mm and TP5=0.3481 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=7.5999 mm and f1/(f1+f3)=0.7905, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 510 to the other positive lens to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the fifth preferred embodiment further satisfies ΣNP=f2+f4+f5=−108.7810 mm; and f5/(f2+f4+f5)=0.0597, where ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 550 to other negative lenses.
The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.







TABLE 9







f = 3.06494 mm; f/HEP = 2.0; HAF = 50 deg; tan(HAF) = 1.1918



















Focal



Radius of
Thickness

Refractive

length


Surface
curvature (mm)
(mm)
Material
index
Abbe number
(mm)

















0
Object
plane
infinity






1
1st lens
3.66747
0.431952
plastic
1.632
23.4
6.00737


2

84.562
0.069027


3
Aperture
plane
−0.01908


4
2nd lens
2.69269
0.2
plastic
1.607
23.4
−6.49171


5

1.55934
0.100242


6
3rd lens
4.70055
2.25
plastic
1.565
58
1.59254


7

−0.9237
0.05


8
4th lens
−1.04152
0.598757
plastic
1.65
21.4
−100


9

−1.29923
0.585336


10
5th lens
−3.36408
0.348098
plastic
1.607
23.4
−2.28928


11

2.49287
0.5


12
Filter
plane
0.2

1.517
64.2


13

plane
0.187776


14
Image
plane
0.067146



plane





Reference wavelength: 555 nm













TABLE 10





Coefficients of the aspheric surfaces

















Surface














1
2
4
5
6
7





k =
−20.409862
−50
−25.275868
−10.360545
15.506475
−1.645885


A4 =
8.72174E−02
1.82767E−01
−6.50662E−02
1.40014E−03
−3.72628E−02
6.80061E−02


A6 =
1.86456E−01
−3.08069E−01
2.56544E−01
−5.81609E−02
3.26572E−02
−5.70807E−02


A8 =
−6.39583E−01
1.58756E+00
−9.80983E−01
1.80683E−01
1.28574E−01
8.54659E−03


A10 =
1.16587E+00
−4.39910E+00
1.51705E+00
−5.94848E−01
−4.63607E−01
1.64631E−03


A12 =
−1.01280E+00
6.21485E+00
−1.09419E+00
7.61806E−01
4.88346E−01
−1.35234E−03


A14 =
3.60468E−01
−3.31305E+00
2.97785E−01
−3.55213E−01
−1.85360E−01
2.38182E−04













Surface















8
9
10
11







k
−1.405897
−0.666247
0.996858
−5.109491



A4
−1.32198E−02
−4.25923E−03
1.02826E−02
−2.56356E−02



A6
5.70140E−03
1.40484E−02
−1.41432E−02
2.23066E−03



A8
−2.17676E−03
2.25448E−03
3.68819E−03
−1.30581E−04



A10
1.30469E−03
3.95482E−06
−5.04344E−04
−6.10154E−07



A12
6.51734E−04
−4.82939E−05
1.09487E−04
−1.25194E−07



A14
−3.69938E−04
−1.45207E−06
−2.43801E−05
−2.78538E−08










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 (with 555 nm as the main reference wavelength) based on Table 9 and Table 10 are listed in the following table:















|TDT|
1.2047%
InRS51
−0.9424


|ODT|
1.7653%
InRS52
−0.9303


ΣPP
7.5999
|InRS51|/TP5
−1.0443


ΣNP
−108.7810
|InRS52|/TP5
−0.4238


f1/ΣPP
0.7905
HIF511
1.7413


f5/ΣNP
0.0597
HIF512
0.7067


IN12/f
0.0163
HIF521
3.3735


HOS/f
1.8171
HIF522
0


HOS
5.5693
HIF311
1.7902


InTL
4.6143
HIF312
0


HOS/HOI
1.4891
HIF321
0.4787


InS/HOS
0.9100
HIF322
0.3214


InTL/HOS
0.8285
|f/f1|
0.5102


ΣTP/InTL
0.8298
|f/f2|
0.4721


(TP1 + IN12)/TP2
2.4095
|f/f3|
1.9246


(TP5 + IN45)/TP5
1.5590
|f/f4|
0.0306


(TP2 + TP3 + TP4)/ΣTP
0.7963
|f/f5|
1.3388









The exact parameters related to inflection points of the second embodiment (with main reference wavelength as 555 nm) based on Table 9 and Table 10 are listed in the following table:



















HIF211
0.48874
HIF211/HOI
0.13068
SGI211
0.03546
|SGI211|/(|SGI211| + TP2)
0.07587


HIF221
0.59692
HIF221/HOI
0.15961
SGI221
0.08830
|SGI221|/(|SGI221| + TP2)
0.16973


HIF311
0.88930
HIF311/HOI
0.23778
SGI311
0.08594
|SGI311|/(|SGI311| + TP3)
0.16595


HIF421
1.24150
HIF421/HOI
0.33195
SGI421
−0.59352
|SGI421|/(|SGI421| + TP4)
0.57878


HIF521
0.90250
HIF521/HOI
0.24131
SGI521
0.12998
|SGI521|/(|SGI521| + TP5)
0.23131









Sixth Embodiment
As shown in FIG. 6A and FIG. 6B, an optical image capturing system of the sixth preferred embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens 610, an aperture 600, a second lens 620, a third lens 630, a fourth lens 640, a fifth lens 650, an infrared rays filter 670, an image plane 680, and an image sensor 690.
The first lens 610 has positive refractive power, and is made of plastic. An object-side surface 612, which faces the object side, is a convex aspheric surface, and an image-side surface 614 thereof, which faces the image side, is a concave aspheric surface.
The second lens 620 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 object-side surface 622 and the image-side surface 624 both has an inflection point thereon.
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 convex aspheric surface. The object-side surface 632 has an inflection point thereon.
The fourth lens 640 has negative refractive power, and is made of plastic. An object-side surface 642, which faces the object side, is a concave aspheric surface, and an image-side surface 644, which faces the image side, is a convex aspheric surface. The object-side surface 642 has an inflection point thereon.
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 concave aspheric surface. The image-side surface 654 has an inflection point thereon.
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|=201.6178 mm; |f1|+|f5|=8.4371 mm; and |f2|+|f3|+1f4|>|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=0.7356 mm and TP5=0.3985 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 and the third lenses 610, 630 are positive lenses, and their focal lengths are f1 and f3 respectively. The optical image capturing system of the sixth preferred embodiment further satisfies ΣPP=f1+f3=8.0203 mm and f1/(f1+f3)=0.7983, where ΣPP is a sum of the focal lengths of each positive lens. It is helpful to share the positive refractive power of the first lens 610 to the other positive lens to avoid the significant aberration caused by the incident rays.
The optical image capturing system of the sixth preferred embodiment further satisfies ΣNP=f2+f4+f5=−202.0346 mm and f5/(f2+f4+f5)=0.4950, where f2, f4 and f5 are focal lengths of the second, the fourth and the fifth lenses, and ΣNP is a sum of the focal lengths of each negative lens. It is helpful to share the negative refractive power of the fifth lens 650 to 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 = 2.97861 mm; f/HEP = 1.4; HAF = 50.0001 deg; tan(HAF) = 1.1918



















Focal



Radius of
Thickness

Refractive

length


Surface
curvature (mm)
(mm)
Material
index
Abbe number
(mm)

















0
Object
plane
infinity






1
1st lens
2.3988
0.456243
plastic
1.565
58
6.40246


2

6.5902
0.08838


3
Aperture
plane
0.411254


4
2nd lens
144.6516
0.349143
plastic
1.565
58
−100


5

40.68654
0.084996


6
3rd lens
24.44361
0.808138
plastic
1.583
30.2
1.61783


7

−0.97508
0.05


8
4th lens
−0.85898
0.735623
plastic
1.565
58
−100


9

−1.1424
0.685879


10
5th lens
−4.05486
0.39853
plastic
1.65
21.4
−2.0346


11

2.06441
0.3


12
Filter
plane
0.2

1.517
64.2


13

plane
0.203492


14
Image
plane
0.160725



plane





Reference wavelength: 555 nm. The clear aperture of the first surface is 1.22 mm; the clear aperture of the sixth surface is 1.03 mm.













TABLE 12





Coefficients of the aspheric surfaces

















Surface














1
2
4
5
6
7





k =
−21.439717
−1.976571
50
7.326364
47.916247
−2.428818


A4 =
1.48662E−01
8.76887E−03
−1.52157E−01
−2.00834E−01
−2.41634E−01
−2.12630E−02


A6 =
−7.96597E−02
6.85471E−02
2.42208E−01
2.68748E−02
2.13077E−01
6.92905E−02


A8 =
−1.58109E−02
−2.96673E−01
−4.66625E−01
3.06661E−02
−4.51221E−01
−4.92997E−02


A10 =
7.81152E−02
5.44324E−01
2.82724E−01
−2.44715E−01
3.10208E−01
−2.32974E−02


A12 =
−4.98017E−02
−4.52039E−01
5.24873E−02
2.50479E−01
−3.36706E−02
3.25165E−02


A14 =
1.00061E−02
1.38629E−01
−1.42016E−01
−9.17983E−02
−2.81886E−02
−1.01056E−02













Surface















8
9
10
11







k
−1.394704
−3.03247
−39.215327
−17.127864



A4
2.18458E−01
−1.62687E−02
−1.21846E−01
−2.08246E−02



A6
−1.66227E−02
−9.55726E−03
5.40811E−02
−1.91521E−04



A8
−3.17545E−02
1.15509E−02
−3.24253E−02
1.61481E−04



A10
1.19463E−04
−9.11869E−03
2.40979E−03
−2.19374E−06



A12
9.03458E−03
4.52160E−03
3.49318E−03
−1.72409E−06



A14
−2.85089E−03
−8.94094E−04
−8.19111E−04
8.06517E−08










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|
1.4440%
InRS51
−0.5252


|ODT|
2.0614%
InRS52
−0.9300


ΣPP
8.0203
|InRS51|/TP5
−1.1956


ΣNP
−202.0346
|InRS52|/TP5
−0.4795


f1/ΣPP
0.7983
HIF511
1.9937


f6/ΣNP
0.4950
HIF521
0.7996


IN12/f
0.1677
HIF522
3.0991


HOS/f
1.6559
HIF523
0


HOS
4.9324
HIF311
1.4260


InTL
4.0682
HIF312
0


HOS/HOI
1.3188
HIF321
0.3813


InS/HOS
0.8896
HIF322
0.2891


InTL/HOS
0.8248
|f/f1|
0.4652


ΣTP/InTL
0.6754
|f/f2|
0.0298


(TP1 + IN12)/TP2
2.7378
|f/f3|
1.8411


(TP5 + IN45)/TP4
1.4741
|f/f4|
0.0298


(TP2 + TP3 + TP4)/ΣTP
0.6889
|f/f5|
1.4640









The exact parameters related to inflection points of the second embodiment (with main reference wavelength as 555 nm) based on Table 11 and Table 12 are listed in the following table:



















HIF211
0.06201
HIF211/HOI
0.01658
SGI211
0.00001
|SGI211|/(|SGI211| + TP2)
0.00002


HIF221
0.10119
HIF221/HOI
0.02706
SGI221
0.00010
|SGI221|/(|SGI221| + TP2)
0.00023


HIF311
0.12076
HIF311/HOI
0.03229
SGI311
0.00025
|SGI311|/(|SGI311| + TP3)
0.00054


HIF411
0.63436
HIF411/HOI
0.16961
SGI411
−0.18934
|SGI411|/(|SGI411| + TP4)
0.29328


HIF412
1.15844
HIF412/HOI
0.30974
SGI412
−0.39491
|SGI412|/(|SGI412| + TP4)
0.46397


HIF521
0.66495
HIF521/HOI
0.17779
SGI521
0.07720
|SGI521|/(|SGI521| + TP5)
0.14472









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 negative 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 at least 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≦3.0; and



0.5≦HOS/f≦3.0;


where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; 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 second lens has negative refractive power, and the fifth lens has negative refractive power.

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


0 deg<HAF≦70 deg;



|TDT|<60%; and



|ODT|<50%;

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.

3. The optical image capturing system of claim 1, wherein the fifth lens has at least an inflection point on at least one of the surfaces thereof.

4. 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.

5. The optical image capturing system of claim 4, 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.

6. The optical image capturing system of claim 5, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:


0.5≦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.

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


0 mm<SGI≦1 mm;

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

8. 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 the object-side surface of the first lens and the image-side surface of the fifth lens.

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 negative refractive power;
a fifth lens having negative 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 at least a surface thereof; at least one of the lenses from the second lens to the fourth 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≦3.0;



0.5≦HOS/f≦3.0;



0.4≦|tan(HAF)|≦3.0;



|TDT|<60%; and



|ODT|≦50%;


where f1, f2, f3, f4, and f5 are focal lengths of the first lens to the fifth lens, respectively; 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;
wherein the optical image capturing system further satisfies:


0<SGI521/(TP5+SGI521)≦0.8,


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.

10. The optical image capturing system of claim 9, wherein at least one of the surfaces of the fourth lens has at least an inflection point thereon.

11. The optical image capturing system of claim 9, wherein at least one of the surfaces of the fifth lens has at least one inflection point thereon.

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


0 mm<HOS≦7 mm.

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


0 mm<InTL≦6 mm;

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.

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


0 mm<ΣTP≦5 mm;

where ΣTP is a sum of central thicknesses of the lenses, which have refractive power, on the optical axis.

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


0<IN12/f≦0.2;

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

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


0.01≦f1/(f1+f3)≦0.9.

17. 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|≦3;



0<|f/f4|≦3; and



0<|f/f5|≦3.

18. 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 negative refractive power;
a fifth lens having negative 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, wherein at least one surface between the image-side surface and the object-side surface thereof has at least an inflection point; and
an image plane;
wherein the optical image capturing system consists of the five lenses having refractive power; the object-side surface and the image-side surface of the fifth lens are aspheric surfaces; at least one lens between the third lens and the fourth lens has at least one inflection point on at least one of the surfaces thereof;
wherein the optical image capturing system satisfies:


1.2≦f/HEP≦2.8;



0.4≦|tan(HAF)|≦3.0;



0.5≦HOS/f≦3.0;



|TDT|<60%; and



|ODT|≦50%;


where f1, f2, f3, f4, and f5 are focal lengths of the first lens to the fifth lens, respectively; 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;
wherein 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)≦0.9; and



0.01≦f5/(f2+f4+f5)≦0.95.

19. The optical image capturing system of claim 18, wherein each of the inflection points in the optical image capturing system further satisfies:


0 mm<HIF≦5 mm;

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

20. The optical image capturing system of claim 18, 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 the object-side surface of the first lens and the image-side surface of the fifth lens.

21. The optical image capturing system of claim 18, 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, which have refractive power, on the optical axis; and InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens.

22. The optical image capturing system of claim 18, further comprising an aperture and an image sensor on the image plane, wherein the optical image capturing system further satisfies:


0.5≦InS/HOS≦1.1;

where InS is a distance in parallel with the optical axis between the aperture and the image plane.