# Patent

## Title
Optical image capturing system

## Abstract

An optical image capturing system includes, along the optical axis in order from an object side to an image side, a first lens, a second lens, a third lens, a fourth lens, and a fifth lens. At least one lens among the first to the fifth lenses has positive refractive force. The fifth lens can have negative refractive force, wherein both surfaces thereof are aspheric, and at least one surface thereof has an inflection point. The lenses in the optical image capturing system which have refractive power include the first to the fifth lenses. The optical image capturing system 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 the 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 the 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 three or four lenses. 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. The conventional optical system could not provide a high optical performance as required.
It is an important issue to increase the amount of light entering the lens. In addition, the modern lens is also asked to have several characters, including high image quality.
BRIEF SUMMARY OF THE INVENTION
The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of five-piece optical lenses (the convex or concave surface in the disclosure denotes the geometrical shape of an image-side surface or an object-side surface of each lens on an optical axis) to increase the amount of incoming light of the optical image capturing system, and apply the design of an engaging component adapted to locate the lenses therein 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:
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 to the image-side surface of the fifth lens is denoted by InTL. A distance from the first lens to the second lens is denoted by IN12 (instance). A central thickness of the first lens 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 in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens 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. An exit pupil of the optical image capturing system refers to the image of the aperture stop imaged in the imaging space after passing through the lens behind the aperture stop, and the exit pupil diameter is denoted by HXP. For any surface of any lens, a maximum effective half diameter (EHD) is a perpendicular distance between an optical axis and a crossing point on the surface where the incident light with a maximum viewing angle of the system passing the very edge of the entrance pupil. For example, the maximum effective half diameter of the object-side surface of the first lens is denoted by EHD11, the maximum effective half diameter of the image-side surface of the first lens is denoted by EHD12, the maximum effective half diameter of the object-side surface of the second lens is denoted by EHD21, the maximum effective half diameter of the image-side surface of the second lens is denoted by EHD22, and so on.
The parameters related to an assembling mechanism between the lenses:
The object-side surface of each lens in the optical image capturing system, if required, could be provided with an object-side bearing surface (denoted as BSO), and the image-side surface thereof, if required, could be also provided with an image-side bearing surface (denoted as BSI). For each lens, the object-side bearing surface and the image-side bearing surface thereof, if required, could be engaged with a contact surface of the adjacent lens in front or in back of said lens to form a stack structure, wherein a contour length of said contact surface on a radial direction is denoted as BSL. Said stack structure, if required, could be designed as “one-engaging”, which means there are only two lenses engaged with each other. For example, say the image-side surface of the first lens has a first image-side bearing surface, and the object-side surface of the second lens has a second object-side bearing surface, wherein the second object-side bearing surface and the first image-side bearing surface contact each other, and are engaged together. Such engaging structure is called “one-engaging”. Or, the stack structure could be designed as “two-engaging”. For example, in addition to the one-engaging mentioned above, the image-side surface of the second lens has a second image-side bearing surface, and the object-side surface of the third lens has a third object-side bearing surface, wherein the third object-side bearing surface and the second image-side bearing surface contact each other, and are engaged together. Such engaging structure is called “two-engaging”.
Or, the stack structure could be designed as “three-engaging” or “all-engaging”. Take an optical image capturing system having seven lenses as an example. In addition to the aforementioned “two-engaging”, the image-side surface of the third lens has a third image-side bearing surface, and the object-side surface of the fourth lens has a fourth object-side bearing surface, wherein the fourth object-side bearing surface and the third image-side bearing surface contact each other, and are engaged together; the image-side surface of the fourth lens has a fourth image-side bearing surface, and the object-side surface of the fifth lens has a fifth object-side bearing surface, wherein the fifth object-side bearing surface and the fourth image-side bearing surface contact each other, and are engaged together; the image-side surface of the fifth lens has a fifth image-side bearing surface, and the object-side surface of the sixth lens has a sixth object-side bearing surface, wherein the sixth object-side bearing surface and the fifth image-side bearing surface contact each other, and are engaged together; the image-side surface of the sixth lens has a sixth image-side bearing surface, and the object-side surface of the seventh lens has a seventh object-side bearing surface, wherein the seventh object-side bearing surface and the sixth image-side bearing surface contact each other, and are engaged together.
Take the aforementioned “all-engaging” structure of the optical image capturing system having seven lenses as an example, an extension line of each image-side bearing surface among the first image-side bearing surface to the seventh image-side bearing surface could be defined as extending toward the object side or the image plane to meet different requirements, which intersects the optical axis at an included angle IAG, wherein the included angle between the optical axis and each extension line of each image-side bearing surface is respectively denoted as IAG1, IAG2, IAG3, IAG4, IAG5, IAG6, and IAG7 in sequence. Similarly, an extension line of each object-side bearing surface among the first object-side bearing surface to the seventh object-side bearing surface could be defined as extending toward the object side or the image plane to meet different requirements, which intersects the optical axis at an included angle OAG, wherein the included angle between the optical axis and each extension line of each object-side bearing surface is respectively denoted as OAG1, OAG2, OAG3, OAG4, OAG5, OAG6, and OAG7 in sequence.
The size of aforementioned included angles IAGs and OAGs has to be adjusted by human. Generally speaking, the greater the IAGs and OAGs are, the optical image capturing system would have more room for miniature, but the engagement between the lenses might be less tight. On the contrary, the smaller the IAGs and OAGs are, the optical image capturing system would have less room for miniature, but the engagement between the lenses could be tighter.
While being assembled inside a structural positioning member (e.g., a lens barrel), the specific assembling of the lenses might become tilted if an inner wall of the structural positioning member does not have sufficient precision, which would affect the imaging quality. The aforementioned stack structure could prevent this problem. In addition, when it comes to miniaturize the optical image capturing system or the pixels of a matching image sensor, the precision of the assembling and the bearing between the lenses would significantly affect the final imaging quality. The aforementioned stack structure could ensure that the actual performance provided by the assembling and the bearing between the lenses would be close to what is expected.
The lens parameter related to an arc length of the shape of a surface and a surface profile:
For any surface of any lens, a profile curve length of the maximum effective half diameter is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to an end point of the maximum effective half diameter thereof. In other words, the curve length between the aforementioned start and end points is the profile curve length of the maximum effective half diameter, which is denoted by ARS. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, the profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and so on.
For any surface of any lens, a profile curve length of a half of the entrance pupil diameter (HEP) is, by definition, measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis. In other words, the curve length between the aforementioned stat point and the coordinate point is the profile curve length of a half of the entrance pupil diameter (HEP), and is denoted by ARE. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARS22, and so on.
The lens parameter related to a depth of the lens shape:
A displacement from a point on the object-side surface of the fifth lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the object-side surface of the fifth lens ends, is denoted by InRS51 (the depth of the maximum effective semi diameter). A displacement from a point on the image-side surface of the fifth lens, which is passed through by the optical axis, to a point on the optical axis, where a projection of the maximum effective semi diameter of the image-side surface of the fifth lens ends, is denoted by InRS52 (the depth of the maximum effective semi diameter). The depth of the maximum effective semi diameter (sinkage) on the object-side surface or the image-side surface of any other lens is denoted in the same manner.
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. By the definition, 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), and 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), and 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). A distance perpendicular to the optical axis between a critical point on the object-side or image-side surface of other lenses the optical axis is denoted in the same manner.
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 (instance). 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 object-side surface of the fifth lens has one inflection point IF513 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF513 is denoted by SGI513 (instance). A distance perpendicular to the optical axis between the inflection point IF513 and the optical axis is HIF513 (instance). The image-side surface of the fifth lens has one inflection point IF523 which is the third nearest to the optical axis, and the sinkage value of the inflection point IF523 is denoted by SGI523 (instance). A distance perpendicular to the optical axis between the inflection point IF523 and the optical axis is HIF523 (instance).
The object-side surface of the fifth lens has one inflection point IF514 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF514 is denoted by SGI514 (instance). A distance perpendicular to the optical axis between the inflection point IF514 and the optical axis is HIF514 (instance). The image-side surface of the fifth lens has one inflection point IF524 which is the fourth nearest to the optical axis, and the sinkage value of the inflection point IF524 is denoted by SGI524 (instance). A distance perpendicular to the optical axis between the inflection point IF524 and the optical axis is HIF524 (instance).
An inflection point, a distance perpendicular to the optical axis between the inflection point and the optical axis, and a sinkage value thereof on the object-side surface or image-side surface of other lenses is denoted in the same manner.
The lens 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.
Transverse aberration on an edge of an aperture is denoted by STA, which stands for STOP transverse aberration, and is used to evaluate the performance of one specific optical image capturing system. The transverse aberration of light in any field of view can be calculated with a tangential fan or a sagittal fan. More specifically, the transverse aberration caused when the longest operation wavelength (e.g., 650 nm or 656 nm) and the shortest operation wavelength (e.g., 470 nm or 486 nm) pass through the edge of the aperture can be used as the reference for evaluating performance. The coordinate directions of the aforementioned tangential fan can be further divided into a positive direction (upper light) and a negative direction (lower light). The longest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the reference wavelength of the mail light (e.g., 555 nm or 587.5 nm) has another imaging position on the image plane in the same field of view. The transverse aberration caused when the longest operation wavelength passes through the edge of the aperture is defined as a distance between these two imaging positions. Similarly, the shortest operation wavelength which passes through the edge of the aperture has an imaging position on the image plane in a particular field of view, and the transverse aberration caused when the shortest operation wavelength passes through the edge of the aperture is defined as a distance between the imaging position of the shortest operation wavelength and the imaging position of the reference wavelength. The performance of the optical image capturing system can be considered excellent if the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view (i.e., 0.7 times the height for image formation HOI) are both less than 20 μm or 20 pixels. Furthermore, for a stricter evaluation, the performance cannot be considered excellent unless the transverse aberrations of the shortest and the longest operation wavelength which pass through the edge of the aperture and image on the image plane in 0.7 field of view are both less than 10 μm or 10 pixels.
The optical image capturing system has a maximum image height HOI on the image plane vertical to the optical axis. A transverse aberration at 0.7 HOI in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by PLTA; a transverse aberration at 0.7 HOT in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by PSTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture is denoted by NLTA; a transverse aberration at 0.7 HOI in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture is denoted by NSTA; a transverse aberration at 0.7 HOI of the sagittal fan after the longest operation wavelength passing through the edge of the aperture is denoted by SLTA; a transverse aberration at 0.7 HOI of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture is denoted by SSTA.
The present invention provides an optical image capturing system, in which the fifth lens is provided with an inflection point at the object-side surface or at the image-side surface to adjust the incident angle of each view field and modify the ODT and the TDT. In addition, the surfaces of the fifth lens are capable of modifying the optical path to improve the imagining quality.
The optical image capturing system of the present invention includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power, and an image-side surface thereof has a first image-side bearing surface. The second lens has refractive power, wherein an object-side surface thereof has a second object-side bearing surface, and an image-side surface thereof has an image-side bearing surface. The second object-side bearing surface and the first image-side bearing surface contact each other. The third lens has refractive power. The fourth lens has refractive power. The fifth lens has refractive power. At least one lens among the first lens to the fifth lens has positive refractive power. The optical image capturing system satisfies:

1.0≦f/HEP≦10.0; 0 deg<HAF≦150 deg; and 0.9≦2(ARE/HEP)≦2.0;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane in order along an optical axis from an object side to an image side. The first lens has refractive power, and an image-side surface thereof has a first image-side bearing surface. The second lens has refractive power, wherein an object-side surface thereof has a second object-side bearing surface, and an image-side surface thereof has a second image-side bearing surface. The second object-side bearing surface and the first image-side bearing surface contact each other. The third lens has refractive power, wherein an object-side surface thereof has a third object-side bearing surface, and an image-side surface thereof has a third image-side bearing surface. The third object-side bearing surface and the second image-side bearing surface contact each other. The fourth lens has refractive power. An extension line of each image-side bearing surface among the first to the second image-side bearing surface s intersects with the optical axis at an included angle IAG, wherein the included angles are respectively denoted as IAG1 and IAG2 for the first and the second image-side bearing surfaces. An extension line of each object-side bearing surface among the second to the third object-side bearing surfaces intersects with the optical axis at an included angle OAG, wherein the included angles are respectively denoted as OAG2 and OAG3 for the second and the third object-side bearing surfaces. The fifth lens has refractive power. At least one lens among the first lens to the fifth lens has positive refractive power. The optical image capturing system satisfies:

0 deg<IAG≦90 deg; 0 deg<OAG≦90 deg; 1.0≦f/HEP≦10.0; 0 deg<HAF≦150 deg and 0.9≦2(ARE/HEP)≦2.0;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
The present invention further provides an optical image capturing system, including a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and an image plane, in order along an optical axis from an object side to an image side. The first lens has refractive power, and an image-side surface thereof has a first image-side bearing surface. The second lens has refractive power, wherein an object-side surface thereof has a second object-side bearing surface, and an image-side surface thereof has a second image-side bearing surface. The second object-side bearing surface and the first image-side bearing surface contact each other. The third lens has refractive power, wherein an object-side surface thereof has a third object-side bearing surface, and an image-side surface thereof has a third image-side bearing surface. The third object-side bearing surface and the second image-side bearing surface contact each other. The fourth lens has refractive power. An extension line of each image-side bearing surface among the first to the third image-side bearing surfaces intersects with the optical axis at an included angle IAG, wherein the included angles are respectively denoted as IAG1, IAG2, and IAG3 for the first, the second, and the third image-side bearing surfaces. An extension line of each object-side bearing surface among the second to the fourth object-side bearing surfaces intersects with the optical axis at an included angle OAG, wherein the included angles are respectively denoted as OAG2, OAG3, and OAG4 for the second, the third, and the fourth object-side bearing surfaces. The fifth lens has refractive power. At least one lens among the first lens to the fifth lens has positive refractive power. The optical image capturing system satisfies:

0 deg<IAG≦45 deg; 0 deg<OAG≦45 deg; 1.0≦f/HEP≦10.0; 0 deg<HAF≦150 deg and 0.9≦2(ARE/HEP)≦2.0;

where f is a focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens on the optical axis; HAF is a half of a maximum view angle of the optical image capturing system; ARE is a profile curve length measured from a start point where the optical axis of the belonging optical image capturing system passes through the surface of the lens, along a surface profile of the lens, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.
For any surface of any lens, the profile curve length within the effective half diameter affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within the effective half diameter of any surface of any lens has to be controlled. The ratio between the profile curve length (ARS) within the effective half diameter of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARS/TP) has to be particularly controlled. For example, the profile curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted by ARS11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARS11/TP1; the profile curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted by ARS12, and the ratio between ARS12 and TP1 is ARS12/TP1. The profile curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted by ARS21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARS21/TP2; the profile curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted by ARS22, and the ratio between ARS22 and TP2 is ARS22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of the maximum effective half diameter thereof and the thickness of the lens which the surface belonged to is denoted in the same manner.
For any surface of any lens, the profile curve length within a half of the entrance pupil diameter (HEP) affects the ability of the surface to correct aberration and differences between optical paths of light in different fields of view. With longer profile curve length, the ability to correct aberration is better. However, the difficulty of manufacturing increases as well. Therefore, the profile curve length within a half of the entrance pupil diameter (HEP) of any surface of any lens has to be controlled. The ratio between the profile curve length (ARE) within a half of the entrance pupil diameter (HEP) of one surface and the thickness (TP) of the lens, which the surface belonged to, on the optical axis (i.e., ARE/TP) has to be particularly controlled. For example, the profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted by ARE11, the thickness of the first lens on the optical axis is TP1, and the ratio between these two parameters is ARE11/TP1; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted by ARE12, and the ratio between ARE12 and TP1 is ARE12/TP1. The profile curve length of a half of the entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted by ARE21, the thickness of the second lens on the optical axis is TP2, and the ratio between these two parameters is ARE21/TP2; the profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted by ARE22, and the ratio between ARE22 and TP2 is ARE22/TP2. For any surface of other lenses in the optical image capturing system, the ratio between the profile curve length of a half of the entrance pupil diameter (HEP) thereof and the thickness of the lens which the surface belonged to is denoted in the same manner.
In an embodiment, a height of the optical image capturing system (HOS) can be reduced while |f1|>f5.
In an embodiment, when |f2|+|f3+|f4| and |f1|+|f5| of the lenses satisfy the aforementioned conditions, at least one lens among the second to the fourth lenses could have weak positive refractive power or weak negative refractive power. Herein the weak refractive power means the absolute value of the focal length of one specific lens is greater than 10. When at least one lens among the second to the fourth lenses has weak positive refractive power, it may share the positive refractive power of the first lens, and on the contrary, when at least one lens among the second to the fourth lenses has weak negative refractive power, it may fine turn and correct the aberration of the system.
In an embodiment, the fifth lens could have negative refractive power, and an image-side surface thereof is concave, it may reduce back focal length and size. Besides, the fifth lens can have 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 correct 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 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 tangential fan and a sagittal fan of the optical image capturing system of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 2A is a schematic diagram of a second 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 tangential fan and a sagittal fan of the optical image capturing system of the second embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 3A is a schematic diagram of a third 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 tangential fan and a sagittal fan of the optical image capturing system of the third embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 4A is a schematic diagram of a fourth 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 tangential fan and a sagittal fan of the optical image capturing system of the fourth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 5A is a schematic diagram of a fifth 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 tangential fan and a sagittal fan of the optical image capturing system of the fifth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 6A is a schematic diagram of a sixth 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;
FIG. 6C shows a tangential fan and a sagittal fan of the optical image capturing system of the sixth embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of an aperture;
FIG. 7 is a schematic view of an optical image capturing system of a seventh embodiment, showing an engaging structure thereof; such a way of assembling could be applied to the first to the sixth embodiments, wherein all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the object side, and each of them intersects the optical axis at an included angle; and
FIG. 8 is a schematic view of an optical image capturing system of an eighth embodiment, showing an engaging structure thereof; such a way of assembling could be applied to the first to the sixth embodiments, wherein all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the image plane, and each of them intersects the optical axis at an included angle.



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, a fifth lens, and an image plane 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 can work in three wavelengths, including 486.1 nm, 587.5 nm, and 656.2 nm, wherein 587.5 nm is the main reference wavelength and is the reference wavelength for obtaining the technical characters. The optical image capturing system can also work in five wavelengths, including 470 nm, 510 nm, 555 nm, 610 nm, and 650 nm wherein 555 nm is the main reference wavelength, and is the reference wavelength for obtaining the technical characters.
The optical image capturing system of the present invention satisfies 0.5≦ΣPPR/|ΣNPR|≦3.0, and a preferable range is 1≦ΣPPR/|ΣNPR|≦2.5, where PPR is a ratio of the focal length fp 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 fn 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 NPR is a sum of the NPRs of each negative lens. It is helpful for control of an entire refractive power and an entire length of the optical image capturing system.
The image sensor is provided on the image plane. The optical image capturing system of the present invention satisfies HOS/HOI≦25 and 0.5≦HOS/f≦25, and a preferable range is 1≦HOS/HOI≦20 and 1≦HOS/f≦20, where HOT is a half of a diagonal of an effective sensing area of the image sensor, 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 the 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 0.2≦InS/HOS≦1.1, 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 0.1≦ΣTP/InTL≦0.9, 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 rate of manufacture and provides a suitable back focal length for installation of other elements.
The optical image capturing system of the present invention satisfies 0.01<|R1/R2|<100, and a preferable range is 0.05<|R1/R2|<80, 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 −50<(R9−R10)/(R9+R10)<50, 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 IN12/f≦5.0, 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 IN45/f≦5.0, where IN45 is a distance on the optical axis between the fourth lens and the fifth lens. It may correct chromatic aberration and improve the performance.
The optical image capturing system of the present invention satisfies 0.1≦(TP1+IN12)/TP2≦50.0, 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 0.1≦(TP5+IN45)/TP4≦50.0, 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≦TP3/(IN23+TP3+IN34)<1, 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, IN23 is a distance on the optical axis between the second lens and the third lens, IN34 is a distance on the optical axis between the third lens and the fourth lens, and InTL is a distance between the object-side surface of the first lens and the image-side surface of the fifth lens. It may fine tune and correct the aberration of the incident rays layer by layer, and reduce the height of the system.
The optical image capturing system satisfies 0 mm≦HVT51≦3 mm; 0 mm<HVT52≦6 mm; 0≦HVT51/HVT52; 0 mm≦|SGC51|≦0.5 mm; 0 mm<|SGC52|≦2 mm; and 0<|SGC52|/(|SGC52|+TP5)≦0.9, where HVT51 a distance perpendicular to the optical axis between the critical point C51 on the object-side surface of the fifth lens and the optical axis; HVT52 a distance perpendicular to the optical axis between the critical point C52 on the image-side surface of the fifth lens and the optical axis; SGC51 is a distance in parallel with the optical axis between an point on the object-side surface of the fifth lens where the optical axis passes through and the critical point C51; SGC52 is a distance in parallel with the optical axis between an point on the image-side surface of the fifth lens where the optical axis passes through and the critical point C52. It is helpful to correct the off-axis view field aberration.
The optical image capturing system satisfies 0.2≦HVT52/HOI≦0.9, and preferably satisfies 0.3≦HVT52/HOI≦0.8. It may help to correct the peripheral aberration.
The optical image capturing system satisfies 0≦HVT52/HOS≦0.5, and preferably satisfies 0.2≦HVT52/HOS≦0.45. It may help to correct the peripheral aberration.
The optical image capturing system of the present invention satisfies 0≦SGI511/(SGI511+TP5)≦0.9; 0<SGI521/(SGI521+TP5)≦0.9, and it is preferable to satisfy 0.1≦SGI511/(SGI511+TP5)≦0.6; 0.1≦SGI521/(SGI521+TP5)≦0.6, where SGI511 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI521 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
The optical image capturing system of the present invention satisfies 0<SGI512/(SGI512+TP5)≦0.9; 0<SGI522/(SGI522+TP5)≦0.9, and it is preferable to satisfy 0.1≦SGI512/(SGI512+TP5)≦0.6; 0.1≦SGI522/(SGI522+TP5)≦0.6, 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, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the second closest to the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF511|≦5 mm; 0.001 mm≦|HIF521|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF511|≦3.5 mm; 1.5 mm≦|HIF521|≦3.5 mm, 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; HIF521 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the closest to the optical axis, and the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF512|≦5 mm; 0.001 mm≦|HIF522|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF522|≦3.5 mm; 0.1 mm≦|HIF512|≦3.5 mm, where HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF513|≦5 mm; 0.001 mm≦|HIF523|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF523|≦3.5 mm; 0.1 mm≦|HIF513|≦3.5 mm, 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; HIF523 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the third closest to the optical axis, and the optical axis.
The optical image capturing system of the present invention satisfies 0.001 mm≦|HIF514|≦5 mm; 0.001 mm≦|HIF524|≦5 mm, and it is preferable to satisfy 0.1 mm≦|HIF524|≦3.5 mm; 0.1 mm≦|HIF514|≦3.5 mm, where HIF514 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis; HIF524 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the fourth closest to the optical axis, and the optical axis.
In an embodiment, the lenses of high Abbe number and the lenses of low Abbe number are arranged in an interlaced arrangement that could be helpful for correction of aberration of the system.
An equation of aspheric surface is

z=ch2/[1+[(k+1)c2h2]0.5]+A4h4+A6h6+A8h8+A10h10+A12h12+A14h14+A16 h16+A18h18+A20h20+ . . .  (1)

where z is a depression of the aspheric surface; k is conic constant; c is reciprocal of the 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 the 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, which 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 could be applied in a dynamic focusing optical system. It is superior in the correction of aberration and high imaging quality so that it could be allied in lots of fields.
The optical image capturing system of the present invention could further include a driving module to meet different demands, wherein the driving module can be coupled with the lenses to move the lenses. The driving module can be a voice coil motor (VCM), which is used to move the lens for focusing, or can be an optical image stabilization (OIS) component, which is used to lower the possibility of having the problem of image blurring which is caused by subtle movements of the lens while shooting.
To meet different requirements, at least one lens among the first lens to the fifth lens of the optical image capturing system of the present invention can be a light filter, which filters out light of wavelength shorter than 500 nm. Such effect can be achieved by coating on at least one surface of the lens, or by using materials capable of filtering out short waves to make the lens.
To meet different requirements, the image plane of the optical image capturing system in the present invention can be either flat or curved. If the image plane is curved (e.g., a sphere with a radius of curvature), the incidence angle required for focusing light on the image plane can be decreased, which is not only helpful to shorten the length of the system (TTL), but also helpful to increase the relative illuminance.
The object-side surface of each lens in the optical image capturing system provided in the present invention, if required, could be provided with an object-side bearing surface (denoted as BSO), and the image-side surface thereof, if required, could be also provided with an image-side bearing surface (denoted as BSI). For each lens, the object-side bearing surface and the image-side bearing surface thereof, if required, could be engaged with a contact surface of the adjacent lens in front or in back of said lens to form a stack structure, wherein a contour length of said contact surface on a radial direction is denoted as BSL, which satisfies 0.01 mm≦BSL≦1 mm, and preferably satisfies 0.05 mm≦BSL≦0.5 mm. In a best mode, it can further required to satisfy 0.08 mm≦BSL≦0.2 mm.
In the optical image capturing system of the present invention, said stack structure, if required, could be designed as “one-engaging”, which means there are only two lenses engaged with each other. For example, say the image-side surface of the first lens has a first image-side bearing surface, and the object-side surface of the second lens has a second object-side bearing surface, wherein the second object-side bearing surface and the first image-side bearing surface contact each other, and are engaged together. Such engaging structure is called “one-engaging”. Or, the stack structure could be designed as “two-engaging”. For example, in addition to the one-engaging mentioned above, the image-side surface of the second lens has a second image-side bearing surface, and the object-side surface of the third lens has a third object-side bearing surface, wherein the third object-side bearing surface and the second image-side bearing surface contact each other, and are engaged together. Such engaging structure is called “two-engaging”.
Or, the stack structure could be designed as “three-engaging” or “all-engaging”. Take an optical image capturing system having seven lenses as an example. In addition to the aforementioned “two-engaging”, the image-side surface of the third lens has a third image-side bearing surface, and the object-side surface of the fourth lens has a fourth object-side bearing surface, wherein the fourth object-side bearing surface and the third image-side bearing surface contact each other, and are engaged together; the image-side surface of the fourth lens has a fourth image-side bearing surface, and the object-side surface of the fifth lens has a fifth object-side bearing surface, wherein the fifth object-side bearing surface and the fourth image-side bearing surface contact each other, and are engaged together; the image-side surface of the fifth lens has a fifth image-side bearing surface, and the object-side surface of the sixth lens has a sixth object-side bearing surface, wherein the sixth object-side bearing surface and the fifth image-side bearing surface contact each other, and are engaged together; the image-side surface of the sixth lens has a sixth image-side bearing surface, and the object-side surface of the seventh lens has a seventh object-side bearing surface, wherein the seventh object-side bearing surface and the sixth image-side bearing surface contact each other, and are engaged together.
An extension line of each image-side bearing surface among the first image-side bearing surface to the seventh image-side bearing surface could be defined as extending toward the object side or the image plane to meet different requirements, which intersects the optical axis at an included angle IAG, wherein the included angle between the optical axis and each extension line of each image-side bearing surface is respectively denoted as IAG1, IAG2, IAG3, IAG4, TAGS, IAG6, and IAG7 in sequence, which satisfies 0 deg<IAG≦90 deg. The size of the aforementioned IAG1 to IAG7 could be designed to meet the actual requirement of an optical image capturing system, and it is preferred to satisfy 0 deg<IAG≦45 deg. In a best mode, it can be further required to satisfy 0 deg<IAG≦30 deg, and IAG1=IAG2=IAG3=IAG4=IAG5=IAG6=IAG7, which means all IAGs are approximately equal. In a specific embodiment, the condition can be set as 0 deg<IAG≦30 deg. In yet another specific embodiment, there can be a further condition that requires one of IAG1 and IAG7 is the smallest one.
Take the aforementioned “all-engaging” structure of the optical image capturing system having seven lenses as an example, an extension line of each object-side bearing surface among the first object-side bearing surface to the seventh object-side bearing surface could be defined as extending toward the object side or the image plane to meet different requirements, which intersects the optical axis at an included angle OAG, wherein the included angle between the optical axis and each extension line of each object-side bearing surface is respectively denoted as OAG1, OAG2, OAG3, OAG4, OAG5, OAG6, and OAG7 in sequence, which satisfies 0 deg<OAG≦90 deg. The size of the aforementioned OAG1 to OAG7 could be designed to meet the actual requirement of an optical image capturing system, and it is preferred to satisfy 0 deg<OAG≦45 deg. In a best mode, it can be further required to satisfy 0 deg<OAG≦30 deg, and OAG1=OAG2=OAG3=OAG4=OAG5=OAG6=OAG7, which means all OAGs are approximately equal. In a specific embodiment, the condition can be set as 0 deg<OAG≦30 deg. In yet another specific embodiment, there can be a further condition that requires one of OAG1 and OAG7 is the smallest one.
FIG. 7 is a schematic view of an optical image capturing system of a seventh embodiment, showing an engaging structure thereof. Such a way of assembling could be applied to the first to the sixth embodiments, wherein all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the object side, and each of them intersects the optical axis at an included angle. All IAGs and all OAGs are equal, which are 25 degrees. An optical image capturing system includes, along an optical axis from an object side to an image side, an aperture 700, a first lens 710, a second lens 720, a third lens 730, a fourth lens 740, a fifth lens 750, and an image plane 790. An image-side surface of the first lens has a first image-side bearing surface 718; an object-side surface of the second lens has a second object-side bearing surface 726, and an image-side surface of the second lens has a second image-side bearing surface 728, wherein the second object-side bearing surface 726 and the first image-side bearing surface 718 contact each other; an object-side surface of the third lens has a third object-side bearing surface 736, and an image-side surface of the third lens has a third image-side bearing surface 738, wherein the third object-side bearing surface 736 and the second image-side bearing surface 728 contact each other; an object-side surface of the fourth lens has a fourth object-side bearing surface 746, and an image-side surface of the fourth lens has an fourth image-side bearing surface 748, wherein the fourth object-side bearing surface 746 and the third image-side bearing surface 738 contact each other; an object-side surface of the fifth lens has a fifth object-side bearing surface 756, and an image-side surface of the fifth lens has a fifth image-side bearing surface 758, wherein the fifth object-side bearing surface 756 and the fourth image-side bearing surface 748 contact each other. For each lens, the object-side bearing surface and the image-side bearing surface thereof could be engaged with a contact surface of the adjacent lens in front or in back of said lens to form a stack structure.
FIG. 8 is a schematic view of an optical image capturing system of an eighth embodiment, showing an engaging structure thereof. Such a way of assembling could be applied to the first to the sixth embodiments, wherein all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the image plane, and each of them intersects the optical axis at an included angle. All IAGs and all OAGs are equal, which are 25 degrees. The optical image capturing system includes, along an optical axis from an object side to an image side, an aperture 800, a first lens 810, a second lens 820, a third lens 830, a fourth lens 840, a fifth lens 850, and an image plane 890. An image-side surface of the first lens has a first image-side bearing surface 818; an object-side surface of the second lens has a second object-side bearing surface 826, and an image-side surface of the second lens has a second image-side bearing surface 828, wherein the second object-side bearing surface 826 and the first image-side bearing surface 818 contact each other; an object-side surface of the third lens has a third object-side bearing surface 836, and an image-side surface of the third lens has a third image-side bearing surface 838, wherein the third object-side bearing surface 836 and the second image-side bearing surface 828 contact each other; an object-side surface of the fourth lens has a fourth object-side bearing surface 846, and an image-side surface of the fourth lens has an image-side bearing surface 848, wherein the fourth object-side bearing surface 846 and the third image-side bearing surface 838 contact each other; an object-side surface of the fifth lens has a fifth object-side bearing surface 856, and an image-side surface of the fifth lens has a fifth image-side bearing surface 858, wherein the fifth object-side bearing surface 856 and the fourth image-side bearing surface 848 contact each other. For each lens, the object-side bearing surface and the image-side bearing surface thereof could be engaged with a contact surface of the adjacent lens in front or in back of said lens to form a stack structure.
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 10 of the first embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens 110, an aperture 100, a second lens 120, a third lens 130, a fourth lens 140, a fifth lens 150, an infrared rays filter 180, an image plane 190, and an image sensor 192. FIG. 1C shows a tangential fan and a sagittal fan of the optical image capturing system 10 of the first embodiment of the present application, and a transverse aberration diagram at 0.7 field of view when a longest operation wavelength and a shortest operation wavelength pass through an edge of the aperture 100.
The first lens 110 has negative 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. The object-side surface 112 has an inflection point thereon. A profile curve length of the maximum effective half diameter of an object-side surface of the first lens 110 is denoted by ARS11, and a profile curve length of the maximum effective half diameter of the image-side surface of the first lens 110 is denoted by ARS12. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the first lens 110 is denoted by ARE11, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the first lens 110 is denoted by ARE12. A thickness of the first lens 110 on the optical axis is TP1.
The first lens satisfies SGI111=1.96546 mm; |SGI111|/(|SGI111|+TP1)=0.72369, where SGI111 is a displacement in parallel with the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the closest to the optical axis, and SGI121 is a displacement in parallel 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 satisfies HIF111=3.38542 mm; HIF111/HOI=0.90519, where HIF111 is a displacement perpendicular to the optical axis from a point on the object-side surface of the first lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis; 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 positive refractive power and is made of plastic. An object-side surface 122 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 124 thereof, which faces the image side, is a concave aspheric surface. A profile curve length of the maximum effective half diameter of an object-side surface of the second lens 120 is denoted by ARS21, and a profile curve length of the maximum effective half diameter of the image-side surface of the second lens 120 is denoted by ARS22. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the second lens 120 is denoted by ARE21, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the second lens 120 is denoted by ARE22. A thickness of the second lens 120 on the optical axis is TP2.
For the second lens, a displacement in parallel with the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis is denoted by SGI211, and 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 is denoted by SGI221.
For the second lens, a displacement perpendicular to the optical axis from a point on the object-side surface of the second lens, through which the optical axis passes, to the inflection point, which is the closest to the optical axis is denoted by HIF211, and 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 is denoted by HIF221.
The third lens 130 has positive refractive power and is made of plastic. An object-side surface 132, which faces the object side, is a convex aspheric surface, and an image-side surface 134, which faces the image side, is a convex aspheric surface. The object-side surface 132 has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the third lens 130 is denoted by ARS31, and a profile curve length of the maximum effective half diameter of the image-side surface of the third lens 130 is denoted by ARS32. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the third lens 130 is denoted by ARE31, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the third lens 130 is denoted by ARE32. A thickness of the third lens 130 on the optical axis is TP3.
The third lens 130 satisfies SGI311=0.00388 mm; |SGI311|/(|SGI311|+TP3)=0.00414, 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.
For the third lens 130, 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 object-side surface, which is the second closest to the optical axis.
The third lens 130 further satisfies HIF311=0.38898 mm; HIF311/HOI=0.10400, 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; 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.
For the third lens 130, 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 closest to the optical axis, and the optical axis; 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 closest to the optical axis, and the optical axis.
The fourth lens 140 has positive refractive power and is made of plastic. An object-side surface 142, which faces the object side, is a convex aspheric surface, and an image-side surface 144, which faces the image side, is a convex aspheric surface. The object-side surface 142 has an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fourth lens 140 is denoted by ARS41, and a profile curve length of the maximum effective half diameter of the image-side surface of the fourth lens 140 is denoted by ARS42. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fourth lens 140 is denoted by ARE41, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fourth lens 140 is denoted by ARE42. A thickness of the fourth lens 140 on the optical axis is TP4.
The fourth lens 140 satisfies SGI421=0.06508 mm; |SGI421|/(|SGI421|+TP4)=0.03459, 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, and SGI421 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the image-side surface, which is the closest to the optical axis.
For the fourth lens 140, SGI412 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 second closest to the optical axis, and SGI422 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fourth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis.
The fourth lens 140 further satisfies HIF421=0.85606 mm; HIF421/HOI=0.22889, 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; HIF421 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the closest to the optical axis, and the optical axis.
For the fourth lens 140, HIF412 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis; HIF422 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens, which is the second closest to the optical axis, and the optical axis.
The fifth lens 150 has negative refractive power and is made of plastic. An object-side surface 152, which faces the object side, is a concave aspheric surface, and an image-side surface 154, which faces the image side, is a concave aspheric surface. The object-side surface 152 and the image-side surface 154 both have an inflection point. A profile curve length of the maximum effective half diameter of an object-side surface of the fifth lens 150 is denoted by ARS51, and a profile curve length of the maximum effective half diameter of the image-side surface of the fifth lens 150 is denoted by ARS52. A profile curve length of a half of an entrance pupil diameter (HEP) of the object-side surface of the fifth lens 150 is denoted by ARE51, and a profile curve length of a half of the entrance pupil diameter (HEP) of the image-side surface of the fifth lens 150 is denoted by ARE52. A thickness of the fifth lens 150 on the optical axis is TP5.
The fifth lens 150 satisfies SGI511=−1.51505 mm; |SGI511|/(|SGI511|+TP5)=0.70144; SGI521=0.01229 mm; |SGI521|/(|SGI521|+TP5)=0.01870, 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.
For the fifth lens 150, SGI512 is a displacement in parallel with the optical axis, from a point on the object-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis, and SGI522 is a displacement in parallel with the optical axis, from a point on the image-side surface of the fifth lens, through which the optical axis passes, to the inflection point on the object-side surface, which is the second closest to the optical axis.
The fifth lens 150 further satisfies HIF511=2.25435 mm; HIF511/HOI=0.60277; HIF521=0.82313 mm; HIF521/HOI=0.22009, 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; 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.
For the fifth lens 150, HIF512 is a distance perpendicular to the optical axis between the inflection point on the object-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis; HIF522 is a distance perpendicular to the optical axis between the inflection point on the image-side surface of the fifth lens, which is the second closest to the optical axis, and the optical axis.
The infrared rays filter 180 is made of glass and between the fifth lens 150 and the image plane 190. The infrared rays filter 180 gives no contribution to the focal length of the system.
The optical image capturing system 10 of the first embodiment has the following parameters, which are f=3.03968 mm; f/HEP=1.6; HAF=50.001; and tan(HAF)=1.1918, 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 embodiment are f1=−9.24529 mm; |f/f1|=0.32878; f5=−2.32439; and |f1|>f5, where f1 is a focal length of the first lens 110; and f5 is a focal length of the fifth lens 150.
The first embodiment further satisfies |f2|+|f3|+|f4|=17.3009 mm; |f1|+|f5|=11.5697 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, f4 is a focal length of the fourth lens 140, and f5 is a focal length of the fifth lens 150.
The optical image capturing system 10 of the first embodiment further satisfies ΣPPR=f/f2+f/f3+f/f4=1.86768; ΣNPR=f/f1+f/f5=−1.63651; ΣPPR/|ΣNPR|=1.14125; |f/f2|=0.47958; |f/f3|=0.38289; |f/f4|=1.00521; |f/f5|=1.30773, where PPR is a ratio of a focal length fp 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 fn of the optical image capturing system to a focal length fn of each of lenses with negative refractive power.
The optical image capturing system 10 of the first embodiment further satisfies InTL+BFL=HOS; HOS=10.56320 mm; HOI=3.7400 mm; HOS/HOI=2.8244; HOS/f=3.4751; InS=6.21073 mm; and InS/HOS=0.5880, 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 190; InS is a distance between the aperture 100 and the image plane 190; HOI is a half of a diagonal of an effective sensing area of the image sensor 192, i.e., the maximum image height; and BFL is a distance between the image-side surface 154 of the fifth lens 150 and the image plane 190.
The optical image capturing system 10 of the first embodiment further satisfies ΣTP=5.0393 mm; InTL=9.8514 mm and ΣTP/InTL=0.5115, 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 rate of manufacture and provides a suitable back focal length for installation of other elements.
The optical image capturing system 10 of the first embodiment further satisfies |R1/R2|=1.9672, 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 10 of the first embodiment further satisfies (R9−R10)/(R9+R10)=−1.1505, 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 10 of the first embodiment further satisfies ΣPP=f2+f3+f4=17.30090 mm; and f2/(f2+f3+f4)=0.36635, where ΣPP is a sum of the focal length fp of each lens with positive refractive power. It is helpful to share the positive refractive power of the second lens 120 to other positive lenses to avoid the significant aberration caused by the incident rays.
The optical image capturing system 10 of the first embodiment further satisfies ΣNP=f1+f5=−11.56968 mm; and f5/(f1+f5)=0.20090, where ΣNP is a sum of the focal length fn of each lens with negative refractive power. It is helpful to share the negative refractive power of the fifth lens 150 to the other negative lens, which avoids the significant aberration caused by the incident rays.
The optical image capturing system 10 of the first embodiment further satisfies IN12=3.19016 mm; IN12/f=1.04951, 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 10 of the first embodiment further satisfies IN45=0.40470 mm; IN45/f=0.13314, where IN45 is a distance on the optical axis between the fourth lens 140 and the fifth lens 150. It may correct chromatic aberration and improve the performance.
The optical image capturing system 10 of the first embodiment further satisfies TP1=0.75043 mm; TP2=0.89543 mm; TP3=0.93225 mm; and (TP1+IN12)/TP2=4.40078, where TP1 is a central thickness of the first lens 110 on the optical axis, TP2 is a central thickness of the second lens 120 on the optical axis, and TP3 is a central thickness of the third lens 130 on the optical axis. It may control the sensitivity of manufacture of the system and improve the performance.
The optical image capturing system 10 of the first embodiment further satisfies TP4=1.81634 mm; TP5=0.64488 mm; and (TP5+IN45)/TP4=0.57785, 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 140 and the fifth lens 150. It may control the sensitivity of manufacture of the system and lower the total height of the system.
The optical image capturing system 10 of the first embodiment further satisfies TP2/TP3=0.96051; TP3/TP4=0.51325; TP4/TP5=2.81657; and TP3/(IN23+TP3+IN34)=0.43372, where IN34 is a distance on the optical axis between the third lens 130 and the fourth lens 140. It may control the sensitivity of manufacture of the system and lower the total height of the system.
The optical image capturing system 10 of the first embodiment further satisfies InRS41=−0.09737 mm; InRS42=−1.31040 mm; |InRS41|/TP4=0.05361 and |InRS42|/TP4=0.72145, where InRS41 is a displacement from a point on the object-side surface 142 of the fourth lens 140 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 142 of the fourth lens 140 ends; InRS42 is a displacement from a point on the image-side surface 144 of the fourth lens 140 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 144 of the fourth lens 140 ends; and TP4 is a central thickness of the fourth lens 140 on the optical axis. It is helpful for manufacturing and shaping of the lenses and is helpful to reduce the size.
The optical image capturing system 10 of the first embodiment further satisfies HVT41=1.41740 mm; HVT42=0, where HVT41 is a distance perpendicular to the optical axis between the critical point on the object-side surface 142 of the fourth lens and the optical axis; and HVT42 is a distance perpendicular to the optical axis between the critical point on the image-side surface 144 of the fourth lens and the optical axis.
The optical image capturing system 10 of the first embodiment further satisfies InRS51=−1.63543 mm; InRS52=−0.34495 mm; |InRS51|/TP5=2.53604 and |InRS52|/TP5=0.53491, where InRS51 is a displacement from a point on the object-side surface 152 of the fifth lens 150 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the object-side surface 152 of the fifth lens 150 ends; InRS52 is a displacement from a point on the image-side surface 154 of the fifth lens 150 passed through by the optical axis to a point on the optical axis where a projection of the maximum effective semi diameter of the image-side surface 154 of the fifth lens 150 ends; 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 optical image capturing system 10 of the first embodiment satisfies HVT51=0; HVT52=1.35891 mm; and HVT51/HVT52=0, where HVT51 a distance perpendicular to the optical axis between the critical point on the object-side surface 152 of the fifth lens and the optical axis; and HVT52 a distance perpendicular to the optical axis between the critical point on the image-side surface 154 of the fifth lens and the optical axis.
The optical image capturing system 10 of the first embodiment satisfies HVT52/HOI=0.36334. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.
The optical image capturing system 10 of the first embodiment satisfies HVT52/HOS=0.12865. It is helpful for correction of the aberration of the peripheral view field of the optical image capturing system.
The third lens 130 and the fifth lens 150 have negative refractive power. The optical image capturing system 10 of the first embodiment further satisfies NA5/NA3=0.368966, where NA3 is an Abbe number of the third lens 130; and NA5 is an Abbe number of the fifth lens 150. It may correct the aberration of the optical image capturing system.
The optical image capturing system 10 of the first embodiment further satisfies |TDT|=0.63350%; 2.06135%, where TDT is TV distortion; and ODT is optical distortion.
For the fifth lens 150 of the optical image capturing system 10 in the first embodiment, a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by PLTA, and is −0.042 mm; a transverse aberration at 0.7 field of view in the positive direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by PSTA, and is 0.056 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by NLTA, and is −0.011 mm; a transverse aberration at 0.7 field of view in the negative direction of the tangential fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by NSTA, and is −0.024 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the longest operation wavelength passing through the edge of the aperture 100 is denoted by SLTA, and is −0.013 mm; a transverse aberration at 0.7 field of view of the sagittal fan after the shortest operation wavelength passing through the edge of the aperture 100 is denoted by SSTA, and is 0.018 mm.
In the optical image capturing system of the first embodiment, all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the image plane, and each of them intersects the optical axis at an included angle. All IAGs and all OAGs are equal, which are 90 degrees. The lens could form a stack structure through the contact surfaces which are engaged with each other, wherein a contour length of said all contact surfaces on a radial direction is denoted as BSL, which satisfies BSL=0.1 mm.
The parameters of the lenses of the first embodiment are listed in Table 1 and Table 2.







TABLE 1







f = 3.03968 mm; f/HEP = 1.6; HAF = 50.0010 deg





















Focal














Radius of curvature
Thickness

Refractive
Abbe
length


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

















0
Object
plane
infinity






1
1st lens
4.01438621
0.750
plastic
1.514
56.80
−9.24529


2

2.040696375
3.602






3
Aperture
plane
−0.412






4
2nd lens
2.45222384
0.895
plastic
1.565
58.00
6.33819


5

6.705898264
0.561






6
3rd lens
16.39663088
0.932
plastic
1.565
58.00
7.93877


7

−6.073735083
0.656






8
4th lens
4.421363446
1.816
plastic
1.565
58.00
3.02394


9

−2.382933539
0.405






10
5th lens
−1.646639396
0.645
plastic
1.650
21.40
−2.32439


11

23.53222697
0.100






12
Infrared
1E+18
0.200
BK7_SCH
1.517
64.20




rays









filter








13

1E+18
0.412






14
Image
1E+18








plane











Reference wavelength: 555 nm.













TABLE 2







Coefficients of the aspheric surfaces














Surface
1
2
4
5
6
7
8





k
−1.882119E−01  
−1.927558E+00  
−6.483417E+00  
1.766123E+01
−5.000000E+01   
−3.544648E+01  
−3.167522E+01  


A4
7.686381E−04
3.070422E−02
5.439775E−02
7.241691E−03
−2.985209E−02  
−6.315366E−02  
−1.903506E−03  


A6
4.630306E−04
−3.565153E−03  
−7.980567E−03  
−8.359563E−03  
−7.175713E−03  
6.038040E−03
−1.806837E−03  


A8
3.178966E−05
2.062259E−03
−3.537039E−04  
1.303430E−02
4.284107E−03
4.674156E−03
−1.670351E−03  


A10
−1.773597E−05  
−1.571117E−04  
2.844845E−03
−6.951350E−03  
−5.492349E−03  
−8.031117E−03  
4.791024E−04


A12
1.620619E−06
−4.694004E−05  
−1.025049E−03  
1.366262E−03
1.232072E−03
3.319791E−03
−5.594125E−05  


A14
−4.916041E−08  
7.399980E−06
1.913679E−04
3.588298E−04
−4.107269E−04   
−5.356799E−04  
3.704401E−07


A16
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00


A18
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00


A20
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00













Surface
8
9
10





k
−2.470764E+00
−1.570351E+00  
4.928899E+01


A4
−2.346908E−04
−4.250059E−04  
−4.625703E−03  


A6
  2.481207E−03
−1.591781E−04  
−7.108872E−04  


A8
−5.862277E−04
−3.752177E−05  
3.429244E−05


A10
−1.955029E−04
−9.210114E−05  
2.887298E−06


A12
  1.880941E−05
−1.101797E−05  
3.684628E−07


A14
  1.132586E−06
3.536320E−06
−4.741322E−08  


A16
  0.000000E+00
0.000000E+00
0.000000E+00


A18
  0.000000E+00
0.000000E+00
0.000000E+00


A20
  0.000000E+00
0.000000E+00
0.000000E+00









The figures related to the profile curve lengths obtained based on Table 1 and Table 2 are listed in the following table:










First embodiment (Reference wavelength: 555 nm)





















ARE
1⁄2(HEP)
ARE value
ARE − 1⁄2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
0.950
0.958
0.008
100.87%
0.750
127.69%


12
0.950
0.987
0.037
103.91%
0.750
131.53%


21
0.950
0.976
0.026
102.74%
0.895
108.99%


22
0.950
0.954
0.004
100.42%
0.895
106.52%


31
0.950
0.949
−0.001
99.94%
0.932
101.83%


32
0.950
0.959
0.009
100.93%
0.932
102.84%


41
0.950
0.953
0.003
100.29%
1.816
52.45%


42
0.950
0.970
0.020
102.15%
1.816
53.42%


51
0.950
0.995
0.045
104.71%
0.645
154.24%


52
0.950
0.949
−0.001
99.92%
0.645
147.18%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
3.459
4.210
0.751
121.71%
0.750
561.03%


12
2.319
3.483
1.165
150.24%
0.750
464.19%


21
1.301
1.384
0.084
106.43%
0.895
154.61%


22
1.293
1.317
0.024
101.87%
0.895
147.09%


31
1.400
1.447
0.047
103.39%
0.932
155.22%


32
1.677
1.962
0.285
116.97%
0.932
210.45%


41
2.040
2.097
0.057
102.82%
1.816
115.48%


42
2.338
2.821
0.483
120.67%
1.816
155.32%


51
2.331
2.971
0.639
127.43%
0.645
460.64%


52
3.219
3.267
0.049
101.51%
0.645
506.66%









The detail parameters of the first embodiment are listed in Table 1, in which the unit of the radius of curvature, thickness, and focal length are millimeter, and surface 0-10 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 20 of the second embodiment of the present invention includes, along an optical axis from an object side to an image side, a first lens 210, a second lens 220, a third lens 230, an aperture 200, a fourth lens 240, a fifth lens 250, an infrared rays filter 280, an image plane 290, and an image sensor 292. FIG. 2C is a transverse aberration diagram at 0.7 field of view of the second embodiment of the present application. In the second embodiment, all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the object side, and each of them intersects the optical axis at an included angle (not shown).
The first lens 210 has negative refractive power and is made of glass. An object-side surface 212 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 214 thereof, which faces the image side, is a concave aspheric surface.
The second lens 220 has negative refractive power and is made of glass. An object-side surface 222 thereof, which faces the object side, is a concave 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 concave aspheric surface. The object-side surface 232 has an inflection point.
The fourth lens 240 has positive refractive power and is made of glass. An object-side surface 242, which faces the object side, is a convex aspheric surface, and an image-side surface 244, which faces the image side, is a convex aspheric surface.
The fifth lens 250 has positive refractive power and is made of plastic. An object-side surface 252, which faces the object side, is a convex surface, and an image-side surface 254, which faces the image side, is a concave surface. The object-side surface 252 and the image-side surface 254 both have an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.
The infrared rays filter 280 is made of glass and between the fifth lens 250 and the image plane 290. The infrared rays filter 280 gives no contribution to the focal length of the system.
The parameters of the lenses of the second embodiment are listed in Table 3 and Table 4.







TABLE 3







f = 3.42 mm; f/HEP = 1.8; HAF = 100 deg





















Focal














Radius of curvature
Thickness

Refractive
Abbe
length


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

















0
Object
1E+18
9.98457E+11






1
1st lens
18.57931366
0.521
glass
1.497
81.61
−23.040


2

7.028288974
3.373






3
2nd lens
−21.43734799
1.161
glass
1.497
81.61
−7.363


4

4.504523447
1.360






5
3rd lens
11.92424613
7.139
plastic
1.650
21.40
27.383


6

27.10710767
0.355






7
Aperture
1E+18
−0.305






8
4th lens
7.700133284
3.723
glass
1.497
81.61
6.600


9

−4.814768568
1.051






10
5th lens
6.274076599
5.070
plastic
1.565
58.00
25.826


11

7.771022066
1.500






12
Infrared
1E+18
0.850
NBK7
1.517
64.135




rays









filter








13

1E+18
0.605






14
Image
1E+18
−0.003







plane











Reference wavelength: 555 nm.













TABLE 4





Coefficients of the aspheric surfaces






















Surface
1
2
3
4
5
6
8





k
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
−7.276232E+00
  1.268693E+01
0.000000E+00


A4
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
  3.468679E−05
  1.483180E−03
0.000000E+00


A6
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
  1.135529E−05
−4.707863E−05
0.000000E+00


A8
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
−3.981671E−06
  2.909995E−05
0.000000E+00


A10
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
  8.359872E−09
−8.473004E−07
0.000000E+00


A12
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
  0.000000E+00
  0.000000E+00
0.000000E+00













Surface
9
10
11





k
0.000000E+00
−1.033304E+01
  5.358565E−01


A4
0.000000E+00
  4.156029E−03
  1.574830E−03


A6
0.000000E+00
−3.691773E−04
−1.442218E−04


A8
0.000000E+00
  2.120021E−05
  1.113716E−05


A10
0.000000E+00
−6.307750E−07
−6.294350E−07


A12
0.000000E+00
  0.000000E+00
  0.000000E+00









An equation of the aspheric surfaces of the second embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the second embodiment based on Table 3 and Table 4 are listed in the following table:










Second embodiment (Reference wavelength: 555 nm)




















|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.14843
0.46446
0.12490
0.51816
0.13243
3.12904


ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|


0.9826 
0.4058 
2.4217 
0.9863 
0.3072 
0.2689 









TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4


0.83511
3.35430
1.64373












HOS
InTL
HOS/HOI
InS/HOS
ODT %
TDT %


26.39900 
23.44700 
6.59975
0.47316
−120.8    
99.6517 


HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS


0.00000
0.00000
0.00000
0.00000
0.00000
0.00000


TP2/TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
|InRS52|/TP5


0.16258
1.91746
 0.962141
 0.957488
0.18978
0.18886


PSTA
PLTA
NSTA
NLTA
SSTA
SLTA


−0.024 mm
0.004 mm
0.008 mm
−0.009 mm
−0.009 mm
0.013 mm


IAG1-IAG4
OAG1-OAG4
BSL


   19 deg
  19 deg
 0.08 mm









The figures related to the profile curve lengths obtained based on Table 3 and Table 4 are listed in the following table:










Second embodiment (Reference wavelength: 555nm)





















ARE
1⁄2(HEP)
ARE value
ARE − 1⁄2(HEP)
2(ARE/HEP) %
TP
ARE/TP (%)





11
0.950
0.949
−0.00057
99.94%
0.521
182.39%


12
0.950
0.952
0.00192
100.20%
0.521
182.87%


21
0.950
0.949
−0.00067
99.93%
1.161
81.78%


22
0.950
0.956
0.00618
100.65%
1.161
82.37%


31
0.950
0.950
−0.00001
100.00%
7.139
13.31%


32
0.950
0.949
−0.00075
99.92%
7.139
13.30%


41
0.950
0.951
0.00143
100.15%
3.723
25.55%


42
0.950
0.955
0.00527
100.55%
3.723
25.66%


51
0.950
0.953
0.00258
100.27%
5.070
18.79%


52
0.950
0.952
0.00152
100.16%
5.070
18.77%





ARS
EHD
ARS value
ARS − EHD
(ARS/EHD) %
TP
ARS/TP (%)





11
8.280
8.581
0.30102
103.64%
0.521
1648.48%


12
5.498
6.312
0.81423
114.81%
0.521
1212.59%


21
5.268
5.321
0.05354
101.02%
1.161
458.45%


22
3.465
3.953
0.48802
114.08%
1.161
340.58%


31
3.432
3.458
0.02608
100.76%
7.139
48.44%


32
2.063
2.067
0.00382
100.19%
7.139
28.95%


41
2.015
2.039
0.02363
101.17%
3.723
54.75%


42
2.929
3.147
0.21866
107.47%
3.723
84.53%


51
3.639
3.795
0.15578
104.28%
5.070
74.85%


52
3.615
3.778
0.16363
104.53%
5.070
74.53%









The results of the equations of the second embodiment based on Table 3 and Table 4 are listed in the following table:










Values related to the inflection points of the second embodiment


(Reference wavelength: 555 nm)






















HIF311
2.6516
HIF311/HOI
0.6629
SGI311
0.2710
|SGI311|/(|SGI311| + TP3)
0.0366


HIF511
3.2706
HIF511/HOI
0.8177
SGI511
0.8048
|SGI511|/(|SGI511| + TP5)
0.1370


HIF521
3.1834
HIF521/HOI
0.7958
SGI521
0.7623
|SGI521|/(|SGI521| + TP5)
0.1307









Third Embodiment
As shown in FIG. 3A and FIG. 3B, an optical image capturing system of the third embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 300, a first lens 310, a second lens 320, a third lens 330, a fourth lens 340, a fifth lens 350, an infrared rays filter 380, an image plane 390, and an image sensor 392. FIG. 3C is a transverse aberration diagram at 0.7 field of view of the third embodiment of the present application. In the third embodiment, all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the object side, and each of them intersects the optical axis at an included angle (not shown).
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.
The second lens 320 has negative refractive power and is made of plastic. An object-side surface 322 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 324 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 322 and the image-side surface 324 both have an inflection point.
The third lens 330 has positive refractive power and is made of plastic. An object-side surface 332 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 334 thereof, which faces the image side, is a convex aspheric surface. The object-side surface 332 has four inflection points, and the image-side surface 334 has an inflection point.
The fourth lens 340 has positive refractive power and is made of plastic. An object-side surface 342, which faces the object side, is a concave aspheric surface, and an image-side surface 344, which faces the image side, is a convex aspheric surface. The object-side surface 342 has two inflection points, and the image-side surface 344 has an inflection point.
The fifth lens 350 has negative refractive power and is made of plastic. An object-side surface 352, which faces the object side, is a convex surface, and an image-side surface 354, which faces the image side, is a concave surface. The object-side surface 352 has two inflection points, and the image-side surface 354 has an inflection point. It may help to shorten the back focal length to keep small in size.
The infrared rays filter 380 is made of glass and between the fifth lens 350 and the image plane 390. The infrared rays filter 390 gives no contribution to the focal length of the system.
The parameters of the lenses of the third embodiment are listed in Table 5 and Table 6.







TABLE 5







F = 3.3138 mm; f/HEP = 1.7; HAF = 50 deg



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


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

















0
Object
1E+18
infinity






1
Aperture
1E+18
−0.010






2
1st lens
2.631731507
0.546
plastic
1.515
56.55
6.887


3

9.41378194
0.000






4

1E+18
0.235






5
2nd lens
3.954634241
0.200
plastic
1.642
22.46
−11.435


6

2.526711134
0.115






7
3rd lens
7.306484962
0.402
plastic
1.545
55.96
9.730


8

−19.12523283
0.474






9
4th lens
−2.92450708
0.636
plastic
1.545
55.96
2.004


10

−0.857664569
0.100






11
5th lens
2.717930148
0.500
plastic
1.545
55.96
−2.357


12

0.816810393
0.676






13
Infrared
1E+18
0.420
BK_7
1.517
23.89




rays









filter








14

1E+18
0.647






15
Image
1E+18
0.000







plane











Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the fourth surface is 1.0 mm.













TABLE 6





Coefficients of the aspheric surfaces

















Surface















2
3
5
6
7
8
9





k
−1.273623E+01
−8.994571E+01
−8.999827E+01
−3.399433E+01
−1.385060E+01
−9.000000E+01
8.398264E−01


A4
8.989139E−02
−8.801787E−02
−5.326987E−02
−5.112677E−02
−2.651450E−01
−2.132429E−01
−2.294133E−01


A6
−1.685746E−01
1.635415E−02
−1.648141E−01
2.679107E−01
7.865662E−01
3.665884E−01
4.082066E−01


A8
2.067949E−01
−9.136509E−02
−2.914127E−01
−1.032026E+00
−1.385025E+00
−5.799663E−01
−6.314968E−01


A10
−2.656517E−02
9.646675E−03
9.517212E−01
1.686469E+00
1.545862E+00
6.637889E−01
6.450450E−01


A12
−4.156695E−01
1.082133E−01
−1.090863E+00
−1.413579E+00
−1.047634E+00
−4.761364E−01
−3.632296E−01


A14
5.310049E−01
−1.094540E−01
6.084599E−01
5.891591E−01
3.862245E−01
1.886140E−01
1.074678E−01


A16
−2.158551E−01
2.846800E−02
−1.435140E−01
−9.801667E−02
−5.868262E−02
−3.048199E−02
−1.332057E−02


A18
5.170214E−05
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00


A20
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00












Surface













10
11
12







k
−1.965050E+00
−8.999948E+01
−5.014020E+00



A4
−2.604434E−02
9.161303E−02
−1.294124E−02



A6
−1.996553E−02
−1.102602E−01
−7.145686E−03



A8
2.531427E−02
5.756599E−02
3.991763E−03



A10
−7.324260E−02
−1.796686E−02
−1.021783E−03



A12
8.400426E−02
3.201352E−03
1.335029E−04



A14
−3.363325E−02
−2.959279E−04
−8.605652E−06



A16
4.468640E−03
1.101537E−05
2.103133E−07



A18
0.000000E+00
0.000000E+00
0.000000E+00



A20
0.000000E+00
0.000000E+00
0.000000E+00










An equation of the aspheric surfaces of the third embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the third embodiment based on Table 5 and Table 6 are listed in the following table:










Third embodiment (Reference wavelength: 555 nm)




















|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.48116
0.28980
0.34057
1.65373
1.40616
0.60231


ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|


3.3497 
0.8217 
4.0764 
0.0711 
0.0302 
1.1752 









TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4


0.40523
3.90526
0.94406












HOS
InTL
HOS/HOI
InS/HOS
ODT %
TDT %


4.95000
3.20752
1.23750
0.99798
1.61812
 0.989173


HVT11
HVT12
HVT21
HVT22
HVT31
HVT32


0.00000
 0.506444
 0.537211
 0.888398
0    
1.25754


HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS


0.00000
1.48549
1.31578
1.95361
0.32895
0.26581


TP2/TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
|InRS52|/TP5


0.49807
0.63182
−0.289074
−0.118558
0.57815
0.23712


PSTA
PLTA
NSTA
NLTA
SSTA
SLTA


−0.018 mm
0.012 mm
0.007 mm
0.0009 mm
−0.017 mm
−0.016 mm


IAG1-IAG4
OAG1-OAG4
BSL


   19 deg
  19 deg
 0.08 mm









The figures related to the profile curve lengths obtained based on Table 5 and Table 6 are listed in the following table:










Third embodiment (Reference wavelength: 555 nm)























ARE
ARE −
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP)
value
1⁄2(HEP)
%
TP
(%)





11
0.975
0.987
0.01249
101.28%
0.546
180.94%


12
0.975
0.984
0.00963
100.99%
0.546
180.42%


21
0.975
0.996
0.02144
102.20%
0.200
498.04%


22
0.975
0.977
0.00255
100.26%
0.200
488.60%


31
0.975
0.974
−0.00022
99.98%
0.402
242.66%


32
0.975
0.982
0.00757
100.78%
0.402
244.60%


41
0.975
1.017
0.04198
104.31%
0.636
159.96%


42
0.975
1.109
0.13440
113.79%
0.636
174.50%


51
0.975
0.980
0.00538
100.55%
0.500
196.00%


52
0.975
1.027
0.05283
105.42%
0.500
205.49%


















ARS
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
TP
(%)





11
0.987
1.000
0.013
101.32%
0.546
183.33%


12
1.028
1.046
0.018
101.75%
0.546
191.74%


21
1.037
1.076
0.039
103.80%
0.200
538.00%


22
1.225
1.249
0.024
101.94%
0.200
624.49%


31
1.313
1.314
0.001
100.09%
0.402
327.20%


32
1.356
1.372
0.016
101.18%
0.402
341.72%


41
1.459
1.535
0.076
105.21%
0.636
241.46%


42
1.596
1.839
0.242
115.19%
0.636
289.31%


51
2.499
2.637
0.138
105.54%
0.500
527.38%


52
3.041
3.571
0.531
117.45%
0.500
714.29%









The results of the equations of the third embodiment based on Table 5 and Table 6 are listed in the following table:










Values related to the inflection points of the third embodiment


(Reference wavelength: 555 nm)






















HIF111
0.7559
HIF111/HOI
0.1890
SGI111
0.1023
|SGI111|/(|SGI111| + TP1)
0.1579


HIF121
0.2981
HIF121/HOI
0.0745
SGI121
0.0039
|SGI121|/(|SGI121| + TP1)
0.0072


HIF211
0.3201
HIF211/HOI
0.0800
SGI211
0.0107
|SGI211|/(|SGI211| + TP2)
0.0508


HIF221
0.4966
HIF221/HOI
0.1242
SGI221
0.0373
|SGI221|/(|SGI221| + TP2)
0.1570


HIF311
0.2709
HIF311/HOI
0.0677
SGI311
0.0038
|SGI311|/(|SGI311| + TP3)
0.0095


HIF312
0.4551
HIF312/HOI
0.1138
SGI312
0.0076
|SGI312|/(|SGI312| + TP3)
0.0185


HIF313
1.0021
HIF313/HOI
0.2505
SGI313
0.0270
|SGI313|/(|SGI313| + TP3)
0.0631


HIF314
1.0729
HIF314/HOI
0.2682
SGI314
0.0310
|SGI314|/(|SGI314| + TP3)
0.0717


HIF321
1.0432
HIF321/HOI
0.2608
SGI321
−0.1170
|SGI321|/(|SGI321| + TP3)
0.2257


HIF411
0.9810
HIF411/HOI
0.2453
SGI411
−0.2481
|SGI411|/(|SGI411| + TP4)
0.2808


HIF412
1.3659
HIF412/HOI
0.3415
SGI412
−0.3956
|SGI412|/(|SGI412| + TP4)
0.3837


HIF421
1.0529
HIF421/HOI
0.2632
SGI421
−0.5503
|SGI421|/(|SGI421| + TP4)
0.4640


HIF511
0.7764
HIF511/HOI
0.1941
SGI511
0.0727
|SGI511|/(|SGI511| + TP5)
0.1269


HIF512
2.1248
HIF512/HOI
0.5312
SGI512
−0.1690
|SGI512|/(|SGI512| + TP5)
0.2527


HIF521
0.7627
HIF521/HOI
0.1907
SGI521
0.2228
|SGI521|/(|SGI521| + TP5)
0.3082









Fourth Embodiment
As shown in FIG. 4A and FIG. 4B, an optical image capturing system 40 of the fourth 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 480, an image plane 490, and an image sensor 492. FIG. 4C is a transverse aberration diagram at 0.7 field of view of the fourth embodiment of the present application. In the fourth embodiment, all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the object side, and each of them intersects the optical axis at an included angle (not shown).
The first lens 410 has positive refractive power and is made of plastic. An object-side surface 412 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 414 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 412 and the image-side surface 414 both have an inflection point.
The second lens 420 has negative refractive power and is made of plastic. An object-side surface 422 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 424 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 422 and the image-side surface 424 both have an inflection point.
The third lens 430 has positive refractive power and is made of plastic. An object-side surface 432 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 434 thereof, which faces the image side, is a convex aspheric surface. The object-side surface has two inflection points, and the image-side surface 434 has an inflection point.
The fourth lens 440 has positive refractive power and is made of plastic. An object-side surface 442, which faces the object side, is a concave aspheric surface, and an image-side surface 444, which faces the image side, is a convex aspheric surface. The object-side surface 442 has two inflection points, and the image-side surface 444 has an inflection point.
The fifth lens 450 has negative refractive power and is made of plastic. An object-side surface 452, which faces the object side, is a convex surface, and an image-side surface 454, which faces the image side, is a concave surface. The object-side surface 452 has two inflection points, and the image-side surface 454 has an inflection point. It may help to shorten the back focal length to keep small in size.
The infrared rays filter 480 is made of glass and between the fifth lens 450 and the image plane 490. The infrared rays filter 480 gives no contribution to the focal length of the system.
The parameters of the lenses of the fourth embodiment are listed in Table 7 and Table 8.







TABLE 7







f = 3.6076 mm; f/HEP = 1.9; HAF = 47.5001 deg



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


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

















0
Object
1E+18
infinity






1
Aperture
1E+18
−0.010


2
1st lens
2.203982664
0.509
plastic
1.515
56.55
5.600


3

8.545115132
0.000


4

1E+18
0.233


5
2nd lens
8.57314225
0.200
plastic
1.642
22.46
−7.263


6

3.009442429
0.126


7
3rd lens
4.383515797
0.361
plastic
1.545
55.96
7.371


8

−48.04160928
0.592


9
4th lens
−2.618667281
0.585
plastic
1.545
55.96
2.221


10

−0.894589412
0.100


11
5th lens
2.895720542
0.500
plastic
1.545
55.96
−2.410


12

0.849900761
0.699


13
Infrared
1E+18
0.420
BK_7



rays



filter


14

1E+18
0.675


15
Image
1E+18
0.000



plane





Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the fourth surface is 1.040 mm.













TABLE 8





Coefficients of the aspheric surfaces

















Surface















2
3
5
6
7
8
9





k
−1.049384E+01
5.233785E+01
−8.999810E+01
−4.165744E+01
−1.385900E+01
−9.000000E+01
1.157384E+00


A4
6.903448E−02
−1.122808E−01
−1.910695E−01
−1.360327E−01
−2.347956E−01
−1.613054E−01
−1.361271E−01


A6
1.430597E−01
2.172585E−01
2.811059E−01
4.753562E−01
5.749019E−01
2.668655E−01
1.691690E−01


A8
−7.421515E−01
−7.597869E−01
−7.453790E−01
−1.121127E+00
−9.132281E−01
−4.701049E−01
−2.164328E−01


A10
1.485228E+00
1.218324E+00
1.041116E+00
1.447988E+00
8.817972E−01
6.118393E−01
2.301093E−01


A12
−1.690058E+00
−1.165078E+00
−7.901661E−01
−1.044129E+00
−5.312952E−01
−5.232349E−01
−1.466223E−01


A14
1.024396E+00
6.104922E−01
3.099708E−01
3.886715E−01
1.909436E−01
2.499582E−01
5.338842E−02


A16
−2.652454E−01
−1.389226E−01
−4.802267E−02
−5.866395E−02
−3.059698E−02
−4.726179E−02
−8.541943E−03


A18
5.170213E−05
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00


A20
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00












Surface













10
11
12







k
−2.076788E+00
−8.994598E+01
−5.370065E+00



A4
−7.934995E−03
4.706900E−02
−2.437888E−02



A6
−6.552293E−02
−5.969740E−02
1.952056E−03



A8
8.588220E−02
2.808755E−02
9.449447E−05



A10
−8.650795E−02
−8.164480E−03
−1.082569E−04



A12
6.485533E−02
1.404226E−03
1.551474E−05



A14
−2.301498E−02
−1.274012E−04
−7.406281E−07



A16
2.937819E−03
4.688120E−06
−9.228775E−10



A18
0.000000E+00
0.000000E+00
0.000000E+00



A20
0.000000E+00
0.000000E+00
0.000000E+00










An equation of the aspheric surfaces of the fourth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:










Fourth embodiment (Reference wavelength: 555 nm)




















|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.64423
0.49671
0.48941
1.62415
1.49677
0.77102


ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|


3.6176 
1.1336 
3.1912 
0.0645 
0.0277 
0.9853 









TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4


0.33447
3.70915
1.02622












HOS
InTL
HOS/HOI
InS/HOS
ODT %
TDT %


5.00000
3.20581
1.25000
0.99800
1.63378
1.01068


HVT11
HVT12
HVT21
HVT22
HVT31
HVT32


1.03363
 0.594005
 0.418776
 0.908374
0    
1.18064


HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS


0.00000
0.00000
1.26445
1.87250
0.31611
0.25289


TP2/TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
|InRS52|/TP5


0.55402
0.61744
−0.281926
−0.178222
0.56385
0.35644


PSTA
PLTA
NSTA
NLTA
SSTA
SLTA


−0.008 mm
0.022 mm
−0.001 mm
−0.009 mm
−0.029 mm
−0.022 mm


IAG1-IAG4
OAG1-OAG4
BSL


   19 deg
  19 deg
 0.08 mm









The figures related to the profile curve lengths obtained based on Table 7 and Table 8 are listed in the following table:










Fourth embodiment (Reference wavelength: 555 nm)























ARE
ARE −
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP)
value
1⁄2(HEP)
%
TP
(%)





11
1.061
1.084
0.022
102.09%
0.509
212.90%


12
1.077
1.099
0.021
101.99%
0.509
215.85%


21
1.071
1.093
0.022
102.04%
0.200
546.68%


22
1.206
1.214
0.008
100.67%
0.200
606.83%


31
1.271
1.273
0.002
100.18%
0.361
352.65%


32
1.295
1.309
0.014
101.09%
0.361
362.50%


41
1.409
1.519
0.110
107.80%
0.585
259.88%


42
1.607
1.833
0.226
114.05%
0.585
313.56%


51
2.478
2.579
0.102
104.10%
0.500
515.87%


52
2.973
3.416
0.443
114.91%
0.500
683.26%


















ARS
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
TP
(%)





11
1.061
1.084
0.022
102.09%
0.509
212.90%


12
1.077
1.099
0.021
101.99%
0.509
215.85%


21
1.071
1.093
0.022
102.04%
0.200
546.68%


22
1.206
1.214
0.008
100.67%
0.200
606.83%


31
1.271
1.273
0.002
100.18%
0.361
352.65%


32
1.295
1.309
0.014
101.09%
0.361
362.50%


41
1.409
1.519
0.110
107.80%
0.585
259.88%


42
1.607
1.833
0.226
114.05%
0.585
313.56%


51
2.478
2.579
0.102
104.10%
0.500
515.87%


52
2.973
3.416
0.443
114.91%
0.500
683.26%









The results of the equations of the fourth embodiment based on Table 7 and Table 8 are listed in the following table:










Values related to the inflection points of the fourth embodiment


(Reference wavelength: 555 nm)






















HIF111
0.8032
HIF111/HOI
0.2008
SGI111
0.139332
|SGI111|/(|SGI111| + TP1)
0.2149


HIF121
0.3661
HIF121/HOI
0.0915
SGI121
0.0063504
|SGI121|/(|SGI121| + TP1)
0.0123


HIF211
0.2335
HIF211/HOI
0.0584
SGI211
0.0026013
|SGI211|/(|SGI211| + TP2)
0.0128


HIF221
0.5007
HIF221/HOI
0.1252
SGI221
0.0296045
|SGI221|/(|SGI221| + TP2)
0.1289


HIF311
0.5281
HIF311/HOI
0.1320
SGI311
0.0203983
|SGI311|/(|SGI311| + TP3)
0.0535


HIF312
0.9915
HIF312/HOI
0.2479
SGI312
0.0372008
|SGI312|/(|SGI312| + TP3)
0.0934


HIF321
1.0157
HIF321/HOI
0.2539
SGI321
−0.087369
|SGI321|/(|SGI321| + TP3)
0.1949


HIF411
1.0794
HIF411/HOI
0.2698
SGI411
−0.30991
|SGI411|/(|SGI411| + TP4)
0.3464


HIF412
1.2925
HIF412/HOI
0.3231
SGI412
−0.427167
|SGI412|/(|SGI412| + TP4)
0.4222


HIF421
1.0533
HIF421/HOI
0.2633
SGI421
−0.515335
|SGI421|/(|SGI421| + TP4)
0.4685


HIF511
0.7280
HIF511/HOI
0.1820
SGI511
0.0574606
|SGI511|/(|SGI511| + TP5)
0.1031


HIF512
2.1652
HIF512/HOI
0.5413
SGI512
−0.177681
|SGI512|/(|SGI512| + TP5)
0.2622


HIF521
0.7252
HIF521/HOI
0.1813
SGI521
0.196779
|SGI521|/(|SGI521| + TP5)
0.2824









Fifth Embodiment
As shown in FIG. 5A and FIG. 5B, an optical image capturing system of the fifth embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 500, a first lens 510, a second lens 520, a third lens 530, a fourth lens 540, a fifth lens 550, an infrared rays filter 580, an image plane 590, and an image sensor 592. FIG. 5C is a transverse aberration diagram at 0.7 field of view of the fifth embodiment of the present application. In the fifth embodiment, all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the object side, and each of them intersects the optical axis at an included angle (not shown).
The first lens 510 has positive refractive power and is made of plastic. An object-side surface 512, which faces the object side, is a convex aspheric surface, and an image-side surface 514, which faces the image side, is a concave aspheric surface. The object-side surface 512 and the image-side surface 514 both have an inflection point.
The second lens 520 has negative refractive power and is made of plastic. An object-side surface 522 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 524 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 522 and the image-side surface 524 both have an inflection point.
The third lens 530 has negative refractive power and is made of plastic. An object-side surface 532, which faces the object side, is a convex aspheric surface, and an image-side surface 534, which faces the image side, is a concave aspheric surface. The object-side surface 532 and the image-side surface 534 both have two inflection points.
The fourth lens 540 has positive refractive power and is made of plastic. An object-side surface 542, which faces the object side, is a convex aspheric surface, and an image-side surface 544, which faces the image side, is a convex aspheric surface. The object-side surface 542 and the image-side surface 544 both have an inflection point.
The fifth lens 550 has negative refractive power and is made of plastic. An object-side surface 552, which faces the object side, is a convex surface, and an image-side surface 554, which faces the image side, is a concave surface. The object-side surface 552 has two inflection points, and the image-side surface 554 has an inflection point. It may help to shorten the back focal length to keep small in size.
The infrared rays filter 580 is made of glass and between the fifth lens 550 and the image plane 590. The infrared rays filter 580 gives no contribution to the focal length of the system.
The parameters of the lenses of the fifth embodiment are listed in Table 9 and Table 10.







TABLE 9







f = 3.9370 mm; f/HEP = 1.7; HAF = 45.0 deg



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


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

















0
Object
1E+18
infinity






1
Aperture
1E+18
−0.031


2
1st lens
2.302381135
0.761
plastic
1.515
56.55
5.507


3

10.74377054
0.000


4

1E+18
0.282


5
2nd lens
7.812128374
0.361
plastic
1.642
22.46
−16.414


6

4.421094839
0.155


7
3rd lens
7.808758551
0.340
plastic
1.545
55.96
−4396.480


8

7.663703119
0.395


9
4th lens
13.81304086
0.742
plastic
1.545
55.96
2.745


10

−1.650220635
0.303


11
5th lens
3.460875874
0.500
plastic
1.515
56.55
−2.867


12

0.985857293
0.461


13
Infrared
1E+18
0.420

1.517
64.13



rays



filter


14

1E+18
0.580


15
Image
1E+18
0.000



plane





Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the fourth surface is 1.125 mm; the clear aperture of the tenth surface is 1.850 mm.













TABLE 10





Coefficients of the aspheric surfaces

















Surface















2
3
5
6
7
8
9





k
−5.336745E+00
2.649605E+01
−8.999883E+01
−4.156327E+01
−1.385068E+01
−8.999999E+01
1.064204E+01


A4
2.985777E−02
−4.674052E−02
−1.342554E−03
5.099170E−02
−1.177711E−01
−1.409531E−01
1.641834E−02


A6
4.517030E−02
−2.637690E−02
−2.064233E−01
−1.037766E−01
7.334957E−02
8.434419E−02
1.413628E−02


A8
−1.604871E−01
−1.439785E−02
3.438983E−01
1.421519E−01
5.462286E−02
−1.608470E−01
−7.982948E−02


A10
2.301663E−01
1.664371E−02
−5.392155E−01
−1.783075E−01
−9.18460E−02
2.347512E−01
7.863310E−02


A12
−1.954430E−01
−1.869822E−03
5.100795E−01
1.460551E−01
5.317056E−02
−1.843923E−01
−4.373871E−02


A14
9.013439E−02
−4.155792E−03
−2.430885E−01
−6.423941E−02
−1.356383E−02
7.598789E−02
1.308142E−02


A16
−1.846322E−02
1.154699E−03
4.577762E−02
1.101323E−02
1.293691E−03
−1.203887E−02
−1.722270E−03


A18
5.170214E−05
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00


A20
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00












Surface













10
11
12







k
−3.562648E+00
−8.999972E+01
−4.798090E+00



A4
2.608929E−02
−1.293398E−01
−7.681466E−02



A6
4.961555E−02
5.109000E−02
3.119816E−02



A8
−7.304954E−02
−2.637663E−02
−9.940430E−03



A10
4.304671E−02
9.966566E−03
2.079804E−03



A12
−1.491109E−02
−1.999670E−03
−2.692596E−04



A14
2.870592E−03
2.000548E−04
1.931127E−05



A16
−2.280135E−04
−7.991174E−06
−5.899494E−07



A18
0.000000E+00
0.000000E+00
0.000000E+00



A20
0.000000E+00
0.000000E+00
0.000000E+00










An equation of the aspheric surfaces of the fifth embodiment is the same as that of the first embodiment, and the definitions are the same as well.
The exact parameters of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:










Fifth embodiment (Reference wavelength: 555 nm)




















|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.71490
0.23986
0.00090
1.43427
1.37300
0.33551


ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|


3.0471 
0.7158 
4.2570 
0.0717 
0.0769 
0.0037 









TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4


0.33447
3.70915
1.02622












HOS
InTL
HOS/HOI
InS/HOS
ODT %
TDT %


5.30000
3.83896
1.32500
0.99413
1.63621
 0.888779


HVT11
HVT12
HVT21
HVT22
HVT31
HVT32


0.00000
 0.617775
 0.615464
1.1491 
0    
 0.477762


HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS


1.00712
0.00000
0.59339
1.65765
0.14835
0.11196


TP2/TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
|InRS52|/TP5


1.06232
0.45859
−0.726481
−0.531063
1.45296
1.06213


PSTA
PLTA
NSTA
NLTA
SSTA
SLTA


−0.016 mm
0.012 mm
0.011 mm
−0.001 mm
−0.006 mm
−0.009 mm


IAG1-IAG4
OAG1-OAG4
BSL


   19 deg
  19 deg
 0.08 mm









The figures related to the profile curve lengths obtained based on Table 9 and Table 10 are listed in the following table:










Fifth embodiment (Reference wavelength: 555 nm)























ARE
ARE −
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP)
value
1⁄2(HEP)
%
TP
(%)





11
1.158
1.191
0.03310
102.86%
0.761
156.59%


12
1.158
1.171
0.01263
101.09%
0.761
153.90%


21
1.158
1.179
0.02150
101.86%
0.361
326.49%


22
1.158
1.162
0.00377
100.33%
0.361
321.58%


31
1.158
1.159
0.00078
100.07%
0.340
340.74%


32
1.158
1.167
0.00941
100.81%
0.340
343.28%


41
1.158
1.158
0.00010
100.01%
0.742
156.17%


42
1.158
1.194
0.03645
103.15%
0.742
161.07%


51
1.158
1.168
0.01035
100.89%
0.500
233.66%


52
1.158
1.200
0.04157
103.59%
0.500
239.90%


















ARS
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
TP
(%)





11
1.168
1.202
0.034
102.92%
0.761
158.06%


12
1.197
1.216
0.019
101.57%
0.761
159.81%


21
1.158
1.181
0.022
101.92%
0.361
326.81%


22
1.340
1.348
0.008
100.61%
0.361
373.17%


31
1.416
1.449
0.034
102.38%
0.340
426.18%


32
1.395
1.423
0.028
102.03%
0.340
418.55%


41
1.548
1.666
0.119
107.66%
0.742
224.68%


42
1.937
2.092
0.155
108.01%
0.742
282.11%


51
2.422
2.629
0.207
108.56%
0.500
525.79%


52
3.010
3.615
0.605
120.08%
0.500
722.94%









The results of the equations of the fifth embodiment based on Table 9 and Table 10 are listed in the following table:










Values related to the inflection points of the fifth embodiment


(Reference wavelength: 555 nm)






















HIF111
0.9550
HIF111/HOI
0.2387
SGI111
0.1899
|SGI111|/(|SGI111| + TP1)
0.1998


HIF121
0.3780
HIF121/HOI
0.0945
SGI121
0.0057
|SGI121|/(|SGI121| + TP1)
0.0074


HIF211
0.3856
HIF211/HOI
0.0964
SGI211
0.0085
|SGI211|/(|SGI211| + TP2)
0.0229


HIF221
0.7531
HIF221/HOI
0.1883
SGI221
0.0573
|SGI221|/(|SGI221| + TP2)
0.1369


HIF311
0.3281
HIF311/HOI
0.0820
SGI311
0.0056
|SGI311|/(|SGI311| + TP3)
0.0162


HIF312
0.7044
HIF312/HOI
0.1761
SGI312
0.0122
|SGI312|/(|SGI312| + TP3)
0.0346


HIF321
0.2686
HIF321/HOI
0.0671
SGI321
0.0039
|SGI321|/(|SGI321| + TP3)
0.0113


HIF322
1.0689
HIF322/HOI
0.2672
SGI322
−0.0710
|SGI322|/(|SGI322| + TP3)
0.1728


HIF411
0.7269
HIF411/HOI
0.1817
SGI411
0.0222
|SGI411|/(|SGI411| + TP4)
0.0290


HIF421
1.6770
HIF421/HOI
0.4193
SGI421
−0.5478
|SGI421|/(|SGI421| + TP4)
0.4249


HIF511
0.3044
HIF511/HOI
0.0761
SGI511
0.0106
|SGI511|/(|SGI511| + TP5)
0.0207


HIF512
1.6979
HIF512/HOI
0.4245
SGI512
−0.3979
|SGI512|/(|SGI512| + TP5)
0.4431


HIF521
0.6300
HIF521/HOI
0.1575
SGI521
0.1446
|SGI521|/(|SGI521| + TP5)
0.2244









Sixth Embodiment
As shown in FIG. 6A and FIG. 6B, an optical image capturing system of the sixth embodiment of the present invention includes, along an optical axis from an object side to an image side, an aperture 600, a first lens 610, a second lens 620, a third lens 630, a fourth lens 640, a fifth lens 650, an infrared rays filter 680, an image plane 690, and an image sensor 692. FIG. 6C is a transverse aberration diagram at 0.7 field of view of the sixth embodiment of the present application. In the sixth embodiment, all image-side bearing surfaces and all object-side bearing surfaces are designed as extending toward the object side, and each of them intersects the optical axis at an included angle (not shown).
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, which faces the image side, is a concave aspheric surface. The object-side surface 612 and the image-side surface 614 both have an inflection point.
The second lens 620 has negative refractive power and is made of plastic. An object-side surface 622 thereof, which faces the object side, is a convex aspheric surface, and an image-side surface 624 thereof, which faces the image side, is a concave aspheric surface. The object-side surface 622 has two inflection points, and the image-side surface 624 has an inflection point.
The third lens 630 has positive refractive power and is made of plastic. An object-side surface 632, which faces the object side, is a convex aspheric surface, and an image-side surface 634, which faces the image side, is a concave aspheric surface. The object-side surface 632 has an inflection point, and the image-side surface 634 has two inflection points.
The fourth lens 640 has positive refractive power and is made of plastic. An object-side surface 642, which faces the object side, is a concave aspheric surface, and an image-side surface 644, which faces the image side, is a convex aspheric surface. The image-side surface 644 has two inflection points.
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 convex surface, and an image-side surface 654, which faces the image side, is a concave surface. The object-side surface 654 has two inflection points, and the image-side surface 652 has an inflection point. It may help to shorten the back focal length to keep small in size. In addition, it may reduce an incident angle of the light of an off-axis field of view and correct the aberration of the off-axis field of view.
The infrared rays filter 680 is made of glass and between the fifth lens 650 and the image plane 690. The infrared rays filter 680 gives no contribution to the focal length of the system.
The parameters of the lenses of the sixth embodiment are listed in Table 11 and Table 12.







TABLE 11







f = 4.2965 mm; f/HEP = 1.7; HAF = 42.5 deg



















Focal



Radius of curvature
Thickness

Refractive
Abbe
length


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

















0
Object
1E+18
infinity






1
Aperture
1E+18
−0.010


2
1st lens
2.18438354
0.783
plastic
1.545
55.96
4.997


3

9.544730569
0.000


4

1E+18
0.231


5
2nd lens
35.2741465
0.350
plastic
1.642
22.46
−8.034


6

4.516340616
0.201


7
3rd lens
3.699286938
0.519
plastic
1.545
55.96
21.242


8

5.161182363
0.311


9
4th lens
−11.04807582
0.701
plastic
1.545
55.96
3.424


10

−1.635488525
0.529


11
5th lens
3.738242049
0.502
plastic
1.545
55.96
−3.540


12

1.214119353
0.473


13
Infrared
1E+18
0.420
BK_7
1.517
64.13



rays



filter


14

1E+18
0.580


15
Image
1E+18
0.000



plane





Reference wavelength: 555 nm; the position of blocking light: the clear aperture of the fourth surface is 1.2 mm; the clear aperture of the tenth surface is 2.010 mm..













TABLE 12





Coefficients of the aspheric surfaces

















Surface















2
3
5
6
7
8
9





k
−3.510085E+00
−1.897419E+01
−8.999724E+01
−2.363059E+01
−1.385173E+01
−8.999999E+01
0.000000E+00


A4
2.363120E−02
−6.128259E−02
−1.109670E−01
−9.460181E−02
−7.575492E−02
3.237638E−02
0.000000E+00


A6
5.596452E−02
9.457112E−02
1.319269E−01
1.880434E−01
5.020606E−02
−1.193555E−01
0.000000E+00


A8
−1.412067E−01
−2.208158E−01
−2.704825E−01
−2.750442E−01
1.866423E−02
1.360785E−01
0.000000E+00


A10
1.800959E−01
2.222909E−01
2.682916E−01
2.373397E−01
−9.256396E−02
−1.169799E−01
0.000000E+00


A12
−1.374755E−01
−1.281943E−01
−1.413346E−01
−1.205163E−01
8.780445E−02
6.581486E−02
0.000000E+00


A14
5.716010E−02
4.060540E−02
4.174200E−02
3.420934E−02
−3.908749E−02
−2.277594E−02
0.000000E+00


A16
−1.065254E−02
−5.588977E−03
−5.444856E−03
−4.464234E−03
6.390642E−03
3.493045E−03
0.000000E+00


A18
5.170214E−05
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00


A20
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00
0.000000E+00












Surface













10
11
12







k
−4.684638E+00
−8.999962E+01
−5.415539E+00



A4
−5.558833E−02
−6.213160E−02
−4.736844E−02



A6
9.888607E−02
4.891209E−03
1.271774E−02



A8
−9.454952E−02
3.514331E−03
−2.539304E−03



A10
5.527296E−02
−9.861279E−04
3.379940E−04



A12
−1.760715E−02
1.117681E−04
−2.955112E−05



A14
2.823402E−03
−6.045994E−06
1.536896E−06



A16
−1.800515E−04
1.278164E−07
−3.571860E−08



A18
0.000000E+00
0.000000E+00
0.000000E+00



A20
0.000000E+00
0.000000E+00
0.000000E+00










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:










Sixth embodiment (Reference wavelength: 555 nm)




















|f/f1|
|f/f2|
|f/f3|
|f/f4|
|f/f5|
|f1/f2|


0.85973
0.53482
0.20226
1.25484
1.21365
0.62208


ΣPPR
ΣNPR
ΣPPR/|ΣNPR|
IN12/f
IN45/f
|f2/f3|


1.9507 
2.1146 
0.9225 
0.0538 
0.1230 
0.3782 









TP3/(IN23 + TP3 + IN34)
(TP1 + IN12)/TP2
(TP5 + IN45)/TP4


0.50367
2.89846
1.46851












HOS
InTL
HOS/HOI
InS/HOS
ODT %
TDT %


5.60000
4.12692
1.40000
0.99821
1.63162
 0.418052


HVT11
HVT12
HVT21
HVT22
HVT31
HVT32


0.00000
 0.700721
 0.266713
1.12659
1.03704
 0.917243


HVT41
HVT42
HVT51
HVT52
HVT52/HOI
HVT52/HOS


0.00000
0.00000
0.74650
1.87299
0.18662
0.13330


TP2/TP3
TP3/TP4
InRS51
InRS52
|InRS51|/TP5
|InRS52|/TP5


0.67410
0.74017
−0.365209
−0.201998
0.72811
0.40272


PLTA
PSTA
NLTA
NSTA
SLTA
SSTA


−0.026 mm
−0.013 mm
0.021 mm
0.011 mm
−0.030 mm
−0.024 mm


IAG1-IAG4
OAG1-OAG4
BSL


   19 deg
   19 deg
 0.08 mm









The figures related to the profile curve lengths obtained based on Table 11 and Table 12 are listed in the following table:










Sixth embodiment (Reference wavelength: 555 nm)























ARE
ARE −
2(ARE/HEP)

ARE/TP


ARE
1⁄2(HEP)
value
1⁄2(HEP)
%
TP
(%)





11
1.264
1.319
0.05517
104.37%
0.783
168.35%


12
1.256
1.276
0.01980
101.58%
0.783
162.87%


21
1.209
1.227
0.01869
101.55%
0.350
350.64%


22
1.264
1.265
0.00129
100.10%
0.350
361.42%


31
1.264
1.271
0.00731
100.58%
0.519
244.79%


32
1.264
1.270
0.00673
100.53%
0.519
244.68%


41
1.264
1.266
0.00210
100.17%
0.701
180.44%


42
1.264
1.321
0.05693
104.51%
0.701
188.26%


51
1.264
1.268
0.00410
100.32%
0.502
252.75%


52
1.264
1.303
0.03918
103.10%
0.502
259.75%


















ARS
ARS −
(ARS/EHD)

ARS/TP


ARS
EHD
value
EHD
%
TP
(%)





11
1.267
1.322
0.055
104.35%
0.783
168.74%


12
1.256
1.276
0.020
101.58%
0.783
162.87%


21
1.209
1.227
0.019
101.55%
0.350
350.64%


22
1.317
1.320
0.003
100.20%
0.350
377.05%


31
1.342
1.367
0.025
101.87%
0.519
263.33%


32
1.503
1.554
0.051
103.41%
0.519
299.38%


41
1.793
1.801
0.008
100.43%
0.701
256.74%


42
2.010
2.087
0.077
103.85%
0.701
297.59%


51
2.573
2.621
0.048
101.85%
0.502
522.47%


52
2.999
3.117
0.118
103.94%
0.502
621.45%









The results of the equations of the sixth embodiment based on Table 11 and Table 12 are listed in the following table:










Values related to the inflection points of the sixth embodiment


(Reference wavelength: 555 nm)






















HIF111
1.0560
HIF111/HOI
0.2640
SGI111
0.2580
|SGI111|/(|SGI111| + TP1)
0.2477


HIF121
0.4344
HIF121/HOI
0.1086
SGI121
0.0080
|SGI121|/(|SGI121| + TP1)
0.0101


HIF211
0.1504
HIF211/HOI
0.0376
SGI211
0.0003
|SGI211|/(|SGI211| + TP2)
0.0008


HIF212
1.1581
HIF212/HOI
0.2895
SGI212
−0.1274
|SGI212|/(|SGI212| + TP2)
0.2669


HIF221
0.6284
HIF221/HOI
0.1571
SGI221
0.0318
|SGI221|/(|SGI221| + TP2)
0.0832


HIF311
0.6143
HIF311/HOI
0.1536
SGI311
0.0389
|SGI311|/(|SGI311| + TP3)
0.0698


HIF321
0.5495
HIF321/HOI
0.1374
SGI321
0.0248
|SGI321|/(|SGI321| + TP3)
0.0455


HIF322
1.4335
HIF322/HOI
0.3584
SGI322
−0.1120
|SGI322|/(|SGI322| + TP3)
0.1775


HIF421
1.0329
HIF421/HOI
0.2582
SGI421
−0.2648
|SGI421|/(|SGI421| + TP4)
0.2740


HIF422
1.7212
HIF422/HOI
0.4303
SGI422
−0.4600
|SGI422|/(|SGI422| + TP4)
0.3960


HIF511
0.3762
HIF511/HOI
0.0940
SGI511
0.0147
|SGI511|/(|SGI511| + TP5)
0.0284


HIF512
1.6868
HIF512/HOI
0.4217
SGI512
−0.1515
|SGI512|/(|SGI512| + TP5)
0.2320


HIF521
0.7113
HIF521/HOI
0.1778
SGI521
0.1505
|SGI521|/(|SGI521| + TP5)
0.2308









It must be pointed out that the embodiments described above are only some 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 refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having refractive power;
a fifth lens having refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses with refractive power; at least one lens among the first lens to the fifth lens has positive refractive power; each lens among the first lens to the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; the image-side surface of the first lens has a first image-side bearing surface; the object-side surface of the second lens has a second object-side bearing surface, and the image-side surface of the second lens has a second image-side bearing surface, wherein the second object-side bearing surface and the first image-side bearing surface contact each other;
wherein the optical image capturing system satisfies:


1.0≦f/HEP≦10.0;



0 deg<HAF≦150 deg; and



0.9≦2(ARE/HEP)≦2.0;


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; HOI is a maximum height for image formation on the image plane; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to the image-side surface of the fifth lens; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

2. The optical image capturing system of claim 1, wherein the object-side surface of the third lens has a third object-side bearing surface, and the image-side surface of the third lens has a third image-side bearing surface; the third object-side bearing surface and the second image-side bearing surface contact each other.

3. The optical image capturing system of claim 2, wherein the object-side surface of the fourth lens has a fourth object-side bearing surface, and the image-side surface of the fourth lens has a fourth image-side bearing surface; the fourth object-side bearing surface and the third image-side bearing surface contact each other.

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


0 deg<IAG≦90 deg;

where an extension line of each image-side bearing surface among the first to the third image-side bearing surfaces intersects the optical axis at an included angle IAG; the included angles are respectively denoted as IAG1, IAG2, and IAG3 for the first to the third image-side bearing surfaces.

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


IAG1=IAG2=IAG3.

6. The optical image capturing system of claim 2, wherein the optical image capturing system satisfies:
0 deg<OAG≦90 deg;
where an extension line of each object-side bearing surface among the second to the third object-side bearing surfaces intersects the optical axis at an included angle OAG; the included angles are respectively denoted as OAG2 and OAG3 for the second to the third object-side bearing surfaces.

7. The optical image capturing system of claim 6, wherein the optical image capturing system satisfies:


OAG2=OAG3.

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


PLTA≦200 μm;



PSTA≦200 μm;



NLTA≦200 μm;



NSTA≦200 μm;



SLTA≦200 μm;



SSTA≦200 μm; and



|TDT|≦250%;

where TDT is a TV distortion; PLTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of a tangential fan of the optical image capturing system after a longest operation wavelength of visible light passing through an edge of the aperture; PSTA is a transverse aberration at 0.7 HOI on the image plane in the positive direction of the tangential fan after a shortest operation wavelength of visible light passing through the edge of the aperture; NLTA is a transverse aberration at 0.7 HOT on the image plane in the negative direction of the tangential fan after the longest operation wavelength of visible light passing through the edge of the aperture; NSTA is a transverse aberration at 0.7 HOI on the image plane in the negative direction of the tangential fan after the shortest operation wavelength of visible light passing through the edge of the aperture; SLTA is a transverse aberration at 0.7 HOT on the image plane of a sagittal fan of the optical image capturing system after the longest operation wavelength of visible light passing through the edge of the aperture; SSTA is a transverse aberration at 0.7 HOI on the image plane of a sagittal fan after the shortest operation wavelength of visible light passing through the edge of the aperture.

9. The optical image capturing system of claim 1, further comprising an aperture, wherein the optical image capturing system further satisfies:


0.2≦InS/HOS≦1.1;

where InS is a distance between the aperture and the image plane on the optical axis.

10. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising:
a first lens having refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having refractive power;
a fifth lens having refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses with refractive power; each lens among the first lens to the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; the image-side surface of the first lens has a first image-side bearing surface; the object-side surface of the second lens has a second object-side bearing surface, and the image-side surface of the second lens has a second image-side bearing surface, wherein the second object-side bearing surface and the first image-side bearing surface contact each other; the object-side surface of the third lens has a third object-side bearing surface, and the image-side surface of the third lens has a third image-side bearing surface, wherein the third object-side bearing surface and the second image-side bearing surface contact each other; an extension line of each image-side bearing surface among the first to the second image-side bearing surfaces intersects the optical axis at an included angle IAG; the included angles are respectively denoted as IAG1 and IAG2 for the first to the second image-side bearing surfaces; an extension line of each object-side bearing surface among the second to the third object-side bearing surfaces intersects the optical axis at an included angle OAG; the included angles are respectively denoted as OAG2 and OAG3 for the second to the third object-side bearing surfaces;
wherein the optical image capturing system satisfies:


0 deg<IAG≦90 deg;



0 deg<OAG≦90 deg;



1.0≦f/HEP≦10.0;



0 deg<HAF≦150 deg; and



0.9≦2(ARE/HEP)≦2.0;


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 between the object-side surface of the first lens and the image plane on the optical axis; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to the image-side surface of the fifth lens; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

11. The optical image capturing system of claim 10, wherein the optical image capturing system satisfies:


IAG1=IAG2.

12. The optical image capturing system of claim 10, wherein the optical image capturing system satisfies:


OAG2=OAG3.

13. The optical image capturing system of claim 10, wherein the optical image capturing system satisfies:


0 deg<IAG≦45 deg; and



0 deg<OAG≦45 deg.

14. The optical image capturing system of claim 10, wherein the image plane is either flat or curved.

15. The optical image capturing system of claim 10, wherein the optical image capturing system satisfies:


0.05≦ARE51/TP5≦15; and



0.05≦ARE52/TP5≦15;

where ARE51 is a profile curve length measured from a start point where the optical axis passes therethrough the object-side surface of the fifth lens, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; ARE52 is a profile curve length measured from a start point where the optical axis passes therethrough the image-side surface of the fifth lens, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis; TP5 is a central thickness of the fifth lens on the optical axis.

16. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:


0.9≦ARS/EHD≦2.0;

where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.

17. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:


0<IN45/f≦5.0;

where IN45 is a distance on the optical axis between the fourth lens and the fifth lens.

18. The optical image capturing system of claim 10, wherein the optical image capturing system further satisfies:


0.1≦(TP5+IN45)/TP4≦50;

where IN45 is a distance on the optical axis between the fourth lens and the fifth lens; TP4 is a thickness of the fourth lens on the optical axis; TP5 is a thickness of the fifth lens on the optical axis.

19. The optical image capturing system of claim 10, wherein at least one lens among the first lens to the fifth lens is a light filter, which is capable of filtering out light of wavelengths shorter than 500 nm.

20. An optical image capturing system, in order along an optical axis from an object side to an image side, comprising:
a first lens having refractive power;
a second lens having refractive power;
a third lens having refractive power;
a fourth lens having refractive power;
a fifth lens having refractive power; and
an image plane;
wherein the optical image capturing system consists of the five lenses having refractive power; each lens among the first lens to the fifth lens has an object-side surface, which faces the object side, and an image-side surface, which faces the image side; the image-side surface of the first lens has a first image-side bearing surface; the object-side surface of the second lens has a second object-side bearing surface, and the image-side surface of the second lens has a second image-side bearing surface, wherein the second object-side bearing surface and the first image-side bearing surface contact each other; the object-side surface of the third lens has a third object-side bearing surface, and the image-side surface of the third lens has a third image-side bearing surface, wherein the third object-side bearing surface and the second image-side bearing surface contact each other; the object-side surface of the fourth lens has a fourth object-side bearing surface, and the image-side surface of the fourth lens has a fourth image-side bearing surface, wherein the fourth object-side bearing surface and the third image-side bearing surface contact each other; an extension line of each image-side bearing surface among the first to the third image-side bearing surfaces intersects the optical axis at an included angle IAG; the included angles are respectively denoted as IAG1, IAG2, and IAG3 for the first to the third image-side bearing surfaces; an extension line of each object-side bearing surface among the second to the fourth object-side bearing surfaces intersects the optical axis at an included angle OAG; the included angles are respectively denoted as OAG2, OAG3, and OAG4 for the second to the fourth object-side bearing surfaces;
wherein the optical image capturing system satisfies:


0 deg<IAG≦45 deg;



0 deg<OAG≦45 deg;



1.0≦f/HEP≦10;



0 deg<HAF≦150 deg; and



0.9≦2(ARE/HEP)≦2.0;


where f1, f2, f3, f4, and f5 are focal lengths of the first lens to the fifth lens, respectively; f is the focal length of the optical image capturing system; HEP is an entrance pupil diameter of the optical image capturing system; HOS is a distance between an object-side surface of the first lens and the image plane on the optical axis; InTL is a distance in parallel with the optical axis from the object-side surface of the first lens to the image-side surface of the fifth lens; HOI is a maximum height for image formation perpendicular to the optical axis on the image plane; HAF is a half of a maximum view angle of the optical image capturing system; for any surface of any lens, ARE is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to a coordinate point of a perpendicular distance where is a half of the entrance pupil diameter away from the optical axis.

21. The optical image capturing system of claim 20, wherein the extension line of each image-side bearing surface among the first to the third image-side bearing surfaces and of each object-side bearing surface among the second to the fourth object-side bearing surfaces all extends toward the object side, and intersects the optical axis.

22. The optical image capturing system of claim 20, wherein the extension line of each image-side bearing surface among the first to the third image-side bearing surfaces and of each object-side bearing surface among the second to the fourth object-side bearing surfaces all extends toward the image plane, and intersects the optical axis.

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


0.01 mm≦BSL≦1 mm;

where BSL is a contour length of all contact surfaces between the object-side bearing surfaces and the image-side bearing surfaces on a radial direction.

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


0.9≦ARS/EHD≦2.0;

where, for any surface of any lens, EHD is a maximum effective half diameter thereof, ARS is a profile curve length measured from a start point where the optical axis passes therethrough, along a surface profile thereof, and finally to an end point of the maximum effective half diameter thereof.

25. The optical image capturing system of claim 20, further comprising an aperture an image sensor, and a driving module, wherein the image sensor is disposed on the image plane; the driving module is coupled with the lenses to move the lenses; the optical image capturing system further satisfies:


0.2≦InS/HOS≦1.1;

where InS is a distance between the aperture and the image plane on the optical axis.