Optical image capturing system
11614599 · 2023-03-28
Assignee
Inventors
Cpc classification
G02B3/04
PHYSICS
International classification
G02B13/00
PHYSICS
Abstract
The invention discloses a four-piece optical lens for capturing image and a four-piece optical module for capturing image. From an object side to an image side, the optical lenses along the optical axis comprises a first lens with refractive power, a second lens with refractive power, a third lens with refractive power, and a fourth lens with refractive power; and at least one of an image-side surface and object-side surface of each of the four lens elements are aspheric. The optical lens can increase aperture value and improve the image quality for use in compact cameras.
Claims
1. An optical image capturing system, from an object side to an image side, comprising: a first lens with refractive power; a second lens with refractive power; a third lens with negative refractive power; a fourth lens with refractive power; a first image plane, which is an image plane specifically for visible light and perpendicular to an optical axis, and a central field of view of the first image plane has a maximum value of through-focus modulation transfer rate (MTF) at a first spatial frequency; and a second image plane, which is an image plane specifically for infrared light and perpendicular to the optical axis, and a central field of view of the second image plane has a maximum value of through-focus modulation transfer rate (MTF) at the first spatial frequency; wherein a sequence of the refractive powers from the first lens to the fourth lens is −+−+or ++−−, the optical image capturing system comprises four lenses with refractive power, at least one of the first lens, the second lens and the fourth lens has positive refractive power, a focal length of the first lens, the second lens, the third lens, and the fourth lens is denoted as f1, f2, f3 and f4 respectively, a focal length of the optical image capturing system is denoted as f, an entrance pupil diameter of the optical image capturing system is denoted as HEP, a distance on the optical axis from an object-side surface of the first lens to the first image plane is denoted as HOS, a distance on the optical axis from the object-side surface of the first lens to an image-side surface of the fourth lens is denoted as InTL, half of a maximum angle of view of the optical image capturing system is denoted as HAF, the optical image capturing system has a maximum image height HOI perpendicular to the optical axis on the first image plane, a distance on the optical axis between the first image plane and the second image plane is denoted as FS, and conditions as follows are satisfied: 1≤f/HEP≤10, 0 deg<HAF≤150 deg, and |FS|≤25 μm.
2. The optical image capturing system of claim 1, wherein a wavelength of the infrared light ranges from 700 nm to 1300 nm, the first spatial frequency is denoted as SP1, and a condition as follows is satisfied: SP1≤440 cycles/mm.
3. The optical image capturing system of claim 1, wherein an outline curve starting from an intersection point of the optical axis and any surface of any one of the four lenses, travelling along an outline of the surface, and ending at a coordinate point on the surface which has a vertical height of ½ entrance pupil diameter from the optical axis, has an outline curve length denoted as ARE, and a condition as follows is satisfied: 0.9≤2(ARE/HEP)≤2.0.
4. The optical image capturing system of claim 1, wherein the optical image capturing system satisfies a condition as follows: 1≤f1/f2≤2.
5. The optical image capturing system of claim 1, wherein an outline curve starting from an intersection point of the optical axis and an object-side surface of the fourth lens, travelling along an outline of the object-side surface, and ending at a coordinate point on the surface which has a vertical height of ½ entrance pupil diameter from the optical axis, has an outline curve length denoted as ARE41; an outline curve starting from an intersection point of the optical axis and the image-side surface of the fourth lens, travelling along an outline of the image-side surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis, has an outline curve length denoted as ARE42; a central thickness of the fourth lens on the optical axis is denoted as TP4, and conditions as follows are satisfied: 0.05≤ARE41/TP4≤25, and 0.05≤ARE42/TP4≤25.
6. The optical image capturing system of claim 1, wherein the first lens has negative refractive power, a TV distortion for image formation in the optical image capturing system is TDT, a transverse aberration of a longest operation wavelength of a positive direction tangential fan of the optical image capturing system passing through an edge of an entrance pupil and incident at a position of 0.7 HOI on the first image plane is denoted as PLTA, a transverse aberration of a shortest operation wavelength of the positive direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the first image plane is denoted as PSTA, a transverse aberration of the longest operation wavelength of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the first image plane is denoted as NLTA, a transverse aberration of the shortest operation wavelength of a negative direction tangential fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the first image plane is denoted as NSTA, a transverse aberration of the longest operation wavelength of a sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the first image plane is denoted as SLTA, a transverse aberration of the shortest operation wavelength of the sagittal fan of the optical image capturing system passing through the edge of the entrance pupil and incident at the position of 0.7 HOI on the first image plane is denoted as SSTA, and conditions as follows are satisfied: PLTA≤100 μm, PSTA≤100 μm, NLTA≤100 μm, NSTA≤100 μm, SLTA≤100 μm, SSTA≤100 μm, and |TDT|<100%.
7. The optical image capturing system of claim 1, further comprising an aperture, wherein a distance from the aperture to the first image plane on the optical axis is defined as InS, a distance on the optical axis from an object-side surface of the first lens to the first image plane is denoted as HOS, and a condition as follows is satisfied: 0.2≤InS/HOS≤1.1.
8. An optical image capturing system, from an object side to an image side, comprising: a first lens with refractive power; a second lens with positive refractive power; a third lens with negative refractive power; a fourth lens with refractive power; a first image plane, which is an image plane specifically for visible light and perpendicular to an optical axis, and a central field of view of the first image plane has a maximum value of through-focus modulation transfer rate (MTF) at a first spatial frequency of 220 cycles/mm; and a second image plane, which is an image plane specifically for infrared light and perpendicular to the optical axis, and a central field of view of the second image plane has a maximum value of the through-focus modulation transfer rate (MTF) at the first spatial frequency of 220 cycles/mm; wherein a sequence of the refractive powers from the first lens to the fourth lens is −+−+or ++−−, the optical image capturing system comprises four lenses with refractive power, a focal length of the first lens, the second lens, the third lens, and the fourth lens is denoted as f1, f2, f3 and f4 respectively, a focal length of the optical image capturing system is denoted as f, an entrance pupil diameter of the optical image capturing system is denoted as HEP, a distance from an object-side surface of the first lens to the first image plane on the optical axis is denoted as HOS, a distance from the object-side surface of the first lens to an image-side surface of the fourth lens on the optical axis is denoted as InTL, half of a maximum angle of view of the optical image capturing system is denoted as HAF, the optical image capturing system has a maximum image height HOI on the first image plane perpendicular to the optical axis, an outline curve starting from an intersection point of the optical axis and any surface of any one of the four lenses, travelling along an outline of the surface, and ending at a coordinate point on the surface which has a vertical height of ½ entrance pupil diameter from the optical axis, has an outline curve length denoted as ARE, a distance between the first image plane and the second image plane on the optical axis is denoted as FS, and conditions as follows are satisfied: 1≤f/HEP≤10, 0 deg<HAF≤150 deg, |FS|≤25 μm, and 0.9≤2(ARE/HEP)≤2.0.
9. The optical image capturing system of claim 8, wherein a maximum effective half diameter of any surface of any one of the four lenses is denoted as EHD, an outline curve starting from the intersection point of the optical axis and any surface of any one of the four lenses, travelling along an outline of the surface, and ending at a point which is defined as the maximum effective half diameter, has an outline curve length denoted as ARS, and a condition as follows is satisfied: 0.9≤ARS/EHD≤2.0.
10. The optical image capturing system of claim 8, wherein a distance between the first lens and the second lens on the optical axis is denoted as IN12, and a condition as follows is satisfied: 0<IN12/f≤0.25.
11. The optical image capturing system of claim 8, wherein a distance between the first lens and the second lens on the optical axis is denoted as IN12, a distance between the second lens and the third lens on the optical axis is denoted as IN23, a distance between the third lens and the fourth lens on the optical axis is denoted as IN34, and a condition as follows is satisfied: IN12>IN23>IN34.
12. The optical image capturing system of claim 8, wherein at least one surface of the first lens, the second lens, the third lens and the fourth lens has at least one inflection point.
13. The optical image capturing system of claim 8, wherein central thicknesses of the second lens and the third lens on the optical axis are denoted as TP2 and TP3 respectively, and a condition as follows is satisfied: 1≤TP2/TP3≤2.
14. The optical image capturing system of claim 8, wherein a distance on the optical axis from the object-side surface of the second lens to an image-side surface of the fourth lens is denoted as InTL234, and a condition as follows is satisfied: 0<InTL234/f≤0.6.
15. The optical image capturing system of claim 8, wherein a distance between the first lens and the second lens on the optical axis is denoted as IN12, and a condition as follows is satisfied: 3≤HEP/IN12≤6.
16. The optical image capturing system of claim 8, wherein the second lens has a concave object-side surface on the optical axis and a convex image-side surface on the optical axis.
17. The optical image capturing system of claim 8, wherein a distance on the optical axis from the object-side surface of the first lens to an image-side surface of the fourth lens is denoted as InTL, and the optical image capturing system satisfies a condition as follows: 1 mm≤InTL≤1.2 mm.
18. An optical image capturing system, from an object side to an image side, comprising: a first lens with refractive power; a second lens with positive refractive power; a third lens with negative refractive power; a fourth lens with negative refractive power; a first average image plane, which is an image plane specifically for visible light and perpendicular to the optical axis, and configured at an average position of the through-focus positions where all of central field of view, 0.3 field of view and 0.7 field of view of the optical image capturing system have their respective maximums of through-focus modulation transfer rates (values of MTF) of the visible light at a first spatial frequency of 220 cycles/mm; and a second average image plane, which is an image plane specifically for infrared light and perpendicular to the optical axis, and configured at the average position of the through-focus positions where all of central field of view, 0.3 field of view and 0.7 field of view of the optical image capturing system have their respective maximums of through-focus modulation transfer rates (values of MTF) of the infrared light at the first spatial frequency of 220 cycles/mm; wherein a sequence of the refractive powers from the first lens to the fourth lens is −+−+or ++−−, the optical image capturing system comprises four lenses with refractive power, a focal length of the first lens, the second lens, the third lens, and the fourth lens is denoted as f1, f2, f3 and f4 respectively, a focal length of the optical image capturing system is denoted as f, an entrance pupil diameter of the optical image capturing system is denoted as HEP, a distance from an object-side surface of the first lens to the first average image plane on the optical axis is denoted as HOS, a distance from the object-side surface of the first lens to an image-side surface of the fourth lens on the optical axis is denoted as InTL, half of a maximum angle of view of the optical image capturing system is denoted as HAF, the optical image capturing system has a maximum image height HOI on the first average image plane perpendicular to the optical axis, an outline curve starting from an intersection point of the optical axis and any surface of any one of the four lenses, travelling along an outline of the surface, and ending at a coordinate point on the surface that has a vertical height of ½ entrance pupil diameter from the optical axis which has an outline curve length denoted as ARE, a distance between the first average image plane and the second average image plane is denoted as AFS, and conditions as follows are satisfied: 1≤f/HEP≤10, 0 deg<HAF≤150 deg, |AFS|≤25 μm, and 0.9≤2(ARE/HEP)≤2.0.
19. The optical image capturing system of claim 18, wherein a maximum effective half diameter of any surface of any one of the four lenses is denoted as EHD, an outline curve starting from the intersection point of the optical axis and any surface of any one of the four lenses, travelling along an outline of the surface, and ending at a point which defines the maximum effective half diameter, has an outline curve length denoted as ARS, and a condition as follows is satisfied: 0.9≤ARS/EHD≤2.0.
20. The optical image capturing system of claim 18, wherein the optical image capturing system satisfies a condition as follows: 1≤f1/f2≤2.
21. The optical image capturing system of claim 18, wherein central thicknesses of the second lens and the third lens on the optical axis is denoted as TP2 and TP3 respectively, and a condition as follows is satisfied: 1≤TP2/TP3≤2.
22. The optical image capturing system of claim 18, wherein a distance on the optical axis from the object-side surface of the second lens to an image-side surface of the fourth lens is denoted as InTL234, and a condition as follows is satisfied: 0<InTL234/f≤0.6.
23. The optical image capturing system of claim 18, further comprising an aperture and an image sensing device, wherein the image sensing device is configured behind the first average image plane and includes at least 100 thousands pixels, a distance from the aperture to the first average image plane on the optical axis is denoted as InS, a distance on the optical axis from an object-side surface of the first lens to the first image plane is denoted as HOS, and a condition as follows is satisfied: 0.2≤InS/HOS≤1.1.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) The detailed structure, operating principle and effects of the present disclosure will now be described in more details hereinafter with reference to the accompanying drawings that show various embodiments of the present disclosure as follows.
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DETAILED DESCRIPTION
(32) Reference will now be made in detail to the exemplary embodiments of the present disclosure, examples of which are illustrated in the accompanying drawings. Therefore, it is to be understood that the foregoing is illustrative of exemplary embodiments and is not to be construed as limited to the specific embodiments disclosed, and that modifications to the disclosed exemplary embodiments, as well as other exemplary embodiments, are intended to be included within the scope of the appended claims. These embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the inventive concept to those skilled in the art. The relative proportions and ratios of elements in the drawings may be exaggerated or diminished in size for the sake of clarity and convenience in the drawings, and such arbitrary proportions are only illustrative and not limiting in any way. The same reference numbers are used in the drawings and the description to refer to the same or like parts.
(33) It will be understood that, although the terms ‘first’, ‘second’, ‘third’, etc., may be used herein to describe various elements, these elements should not be limited by these terms. The terms are used only for the purpose of distinguishing one component from another component. Thus, a first element discussed below could be termed a second element without departing from the teachings of embodiments. As used herein, the term “or” includes any and all combinations of one or more of the associated listed items.
(34) An optical image capturing system, in sequence from an object side to an image side, includes a first lens, a second lens, a third lens, and a fourth lens with refractive power. The optical image capturing system may further include an image sensing device, which is configured on an image plane.
(35) The optical image capturing system may utilize three sets of operation wavelengths which are 486.1 nm, 587.5 nm and 656.2 nm respectively, wherein the 587.5 nm wavelength is served as a primary reference wavelength and a reference wavelength for obtaining technical features. The optical image capturing system may also utilize five sets of operation wavelengths which are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm respectively, wherein the 555 nm wavelength is served as the primary reference wavelength and the reference wavelength for obtaining technical features.
(36) A ratio of the focal length f of the optical image capturing system to the focal length fp of each lens with positive refractive power is denoted as PPR. A ratio of the focal length f of the optical image capturing system to the focal length fn of each lens with negative refractive power is denoted as NPR. A sum of the PPR of all lenses with positive refractive powers is denoted as ΣPPR, and a sum of the NPR of all lenses with negative refractive powers is denoted as ΣNPR. A total refractive power and a total length of the optical image capturing system may be easier to control when the following conditions are met: 0.5≤ΣPPR/|ΣNPR|≤4.5; preferably, the following condition may be met: 0.9≤ΣPPR/|ΣNPR|≤3.5.
(37) A height of the optical image capturing system is denoted as HOS. When the value of the ratio, i.e. HOS/f, approaches 1, it would be easier to manufacture the miniaturized optical image capturing system which is capable of forming an ultra-high pixel image.
(38) A sum of the focal length fp of each lens with positive refractive power is denoted as ΣPP. A sum of the focal length fn of each lens with negative refractive power is denoted as ΣNP. In one embodiment of the optical image capturing system of the present disclosure, the following conditions are met: 0<ΣPP≤200 and f4/ΣPP≤0.85. Preferably, the following conditions may be met: 0<ΣPP≤150 and 0.01≤Σf4/ΣPP≤0.7. As a result, the optical image capturing system will have better control over a focusing ability, and the positive refractive power of the optical image capturing system may be distributed appropriately, so as to suppress the premature formation of noticeable aberration.
(39) The optical image capturing system may further include an image sensing device, which is configured on an image plane. Half of a diagonal of an effective sensing field of the image sensing device (i.e. the image height or the so-called maximum image height of the optical image capturing system) is denoted as HOI. A distance on the optical axis from the object-side surface of the first lens to the image plane is denoted as HOS, which meets the following conditions: HOS/HOI≤15 and 0.5≤HOS/f≤20.0. Preferably, the following conditions may be met: 1≤HOS/HOI≤10 and 1≤HOS/f≤15. As a result, the optical image capturing system may remain miniaturized, so as to be applicable to a lightweight and portable electronic product.
(40) In addition, in the optical image capturing system of the disclosure, at least one aperture may be configured depending on requirements so as to reduce stray light and improve image quality.
(41) In the optical image capturing system of the disclosure, the aperture may be configured as a front-set aperture or middle-set aperture, wherein the front-set aperture is disposed between a photographed object and the first lens, and the middle-set aperture is disposed between the first lens and the image plane. If the aperture is the front-set aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system may be provided, such that more optical elements may be accommodated in the optical image capturing system, and an efficiency of the image sensing device in receiving images may be improved. If the aperture is the middle-set aperture, an angle of field of view (FOV) of the optical image capturing system may be expanded, such that the optical image capturing system has the same advantage as wide-angle cameras. A distance from the aforementioned apertures to the image plane is denoted as InS, which meets the following conditions: 0.2≤InS/HOS≤1.1. Preferably, the following condition may be met: 0.4≤InS/HOS≤1. Hence, the optical image capturing system may simultaneously be miniaturized while equipped with wide-angle features.
(42) In the optical image capturing system of the present disclosure, a distance from the object-side surface of the first lens to the image-side surface of the fourth lens is denoted as InTL. A sum of central thicknesses of all lenses with refractive power on the optical axis is denoted as ΣTP. The following condition is met: 0.2≤ΣTP/InTL≤0.95. Preferably, the following condition may be met: 0.2≤ΣTP/InTL≤0.9. In this manner, a suitable contrast ratio for image formation in the optical image capturing system and a suitable yield rate of manufacturing the lenses may be simultaneously achieved, and an appropriate back focal length may be provided so as to accommodate other optical elements in the optical image capturing system.
(43) A curvature radius of the object-side surface of the first lens is denoted as R1, a curvature radius of the image-side surface of the first lens is denoted as R2, and the following conditions are met: 0.01≤|R1/R2|≤100. Preferably, the following condition may be met: 0.01≤|R1/R2|≤60.
(44) A curvature radius of the object-side surface of the fourth lens is denoted as R9. A curvature radius of the image-side surface of the fourth lens is denoted as R10. The following condition is met: −200<(R7−R8)/(R7+R8)<30. Such configuration is beneficial for correcting astigmatism generated by the optical image capturing system.
(45) A distance between the first lens and the second lens on the optical axis is denoted as IN12. The following condition is met: 0<IN12/f≤5.0. Preferably, the following condition may be met: 0.01≤IN12/f≤4.0. Hence, chromatic aberration of the lens may be mitigated, such that performance thereof is improved.
(46) A distance between the second lens and the third lens on the optical axis is denoted as IN23. The following condition is met: 0<IN23/f≤5.0. Preferably, the following condition may be met: 0.01≤IN23/f≤3.0. Hence, performances of the lenses may be improved.
(47) A distance between the third lens and the fourth lens on the optical axis is denoted as IN34. The following condition is met: 0<IN34/f≤5.0. Preferably, the following condition may be met: 0.001≤IN34/f≤3.0. Hence, performances of the lenses may be improved.
(48) A central thicknesses of the first lens and the second lens on the optical axis are denoted as TP1 and TP2, respectively, which meets the following condition: 1≤(TP1+IN12)/TP2≤20. Hence, a sensitivity formed via the optical image capturing system may be easier to control, and performance of the optical image capturing system may be improved.
(49) Central thicknesses of the third lens and the fourth lens on the optical axis are denoted as TP3 and TP4, respectively, and a distance between the aforementioned two lenses on the optical axis is denoted as IN34. The following condition is met: 0.2≤(TP4+IN34)/TP4≤20. Hence, a sensitivity formed via the optical image capturing system may be easier to control, and a total height of the optical image capturing system may be reduced.
(50) A distance between the second lens and the third lens on the optical axis is denoted as IN23. A sum of distances from the first lens to the fourth lens on the optical axis is denoted as ΣTP. The following condition is met: 0.01≤IN23/(TP2+IN23+TP3)≤0.9. Preferably, the following condition may be met: 0.05≤IN23/(TP2+IN23+TP3)≤0.7. Hence, an aberration generated in a process of the incident light travelling inwardly into the optical image capturing system may be easier to gradually correct layer upon layer, and a total height of the optical image capturing system may be reduced.
(51) In the optical image capturing system of the present disclosure, a horizontal shift distance in parallel with the optical axis from a position of maximum effective half diameter to an intersection point on the optical axis of the object-side surface 142 of the fourth lens is denoted as InRS41 (if the horizontal shift is towards the image-side surface, the InRS41 is a positive value; if the horizontal shift is towards the object-side surface, the InRS41 is a negative value). A distance in parallel with the optical axis from a position of maximum effective half diameter to an intersection point on the optical axis of the image-side surface 144 of the fourth lens is denoted as InRS42. A central thickness of the fourth lens 140 on the optical axis is denoted as TP4. The following conditions are met: −1 mm≤InRS41≤1 mm, −1 mm≤InRS42≤1 mm, 1 mm≤|InRS41|+|InRS42|≤2 mm, 0.01≤|InRS41|/TP4≤10 and 0.01≤|InRS42|/TP4≤10. Hence, the position of maximum effective half diameter between both surfaces of the fourth lens may be controlled, so as to facilitate an aberration correction of a peripheral field of view of the optical image capturing system and effectively retain the miniaturization thereof.
(52) In the optical image capturing system of the present disclosure, a horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the object-side surface of the fourth lens to an intersection point on the optical axis of the object-side surface of the fourth lens is denoted as SGI411. A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the image-side surface of the fourth lens to an intersection point on the optical axis of the image-side surface of the fourth lens is denoted as SGI421. The following conditions are met: 0<SGI411/(SGI411+TP4)≤0.9 and 0<SGI421/(SGI421+TP4)≤0.9. Preferably, the following conditions may be met: 0.01<SGI411/(SGI411+TP4)≤0.7 and 0.01<SGI421/(SGI421+TP4)≤0.7.
(53) A horizontal shift distance in parallel with the optical axis from the inflection point which is the second nearest to the optical axis on the object-side surface of the fourth lens to an intersection point on the optical axis of the object-side surface of the fourth lens is denoted as SGI412. A horizontal shift distance in parallel with the optical axis from the inflection point which is the second nearest to the optical axis on the image-side surface of the fourth lens to an intersection point on the optical axis of the image-side surface of the fourth lens is denoted as SGI422. The following conditions are met: 0<SGI412/(SGI412+TP4)≤0.9 and 0<SGI422/(SGI422+TP4)≤0.9. Preferably, the following conditions may be met: 0.1≤SGI412/(SGI412+TP4)≤0.8 and 0.1≤SGI422/(SGI422+TP4)≤0.8.
(54) A perpendicular distance to the optical axis between the inflection point which is nearest to the optical axis on the object-side surface of the fourth lens and the optical axis is denoted as HIF411. A perpendicular distance to the optical axis between the inflection point which is nearest to the optical axis on the image-side surface of the fourth lens and an intersection point on the optical axis of the image-side surface of the fourth lens is denoted as HIF421. The following conditions are met: 0.01≤HIF411/HOI≤0.9 and 0.01≤HIF421/HOI≤0.9. Preferably, the following conditions may be met: 0.09≤HIF411/HOI≤0.5 and 0.09≤HIF421/HOI≤0.5.
(55) A perpendicular distance to the optical axis between the inflection point which is the second nearest to the optical axis on the object-side surface of the fourth lens and the optical axis is denoted as HIF412. A perpendicular distance to the optical axis between an intersection point on the optical axis of the image-side surface of the fourth lens and the inflection point which is the second nearest to the optical axis on the image-side surface of the fourth lens is denoted as HIF422. The following conditions are met: 0.01≤HIF412/HOI≤0.9 and 0.01≤HIF422/HOI≤0.9. Preferably, the following conditions may be met: 0.09≤HIF412/HOI≤0.8 and 0.09≤HIF422/HOI≤0.8.
(56) A perpendicular distance to the optical axis between the inflection point which is the third nearest to the optical axis on the object-side surface of the fourth lens and the optical axis is denoted as HIF413. A perpendicular distance to the optical axis between an intersection point on the optical axis of the image-side surface of the fourth lens and the inflection point which is the third nearest to the optical axis on the image-side surface of the fourth lens is denoted as HIF423. The following conditions are met: 0.001 mm≤|HIF431|≤5 mm and 0.001 mm≤|HIF423|≤5 mm; preferably, the following conditions may be met: 0.1 mm≤|HIF423|≤3.5 mm and 0.1 mm≤|HIF413|≤3.5 mm.
(57) A perpendicular distance to the optical axis between the inflection point which is the fourth nearest to the optical axis on the object-side surface of the fourth lens and the optical axis is denoted as HIF414. A perpendicular distance to the optical axis between an intersection point on the optical axis of the image-side surface of the fourth lens and the inflection point which is the fourth nearest to the optical axis on the image-side surface of the fourth lens is denoted as HIF424. The following conditions are met: 0.001 mm≤|HIF414|≤5 mm and 0.001 mm≤|HIF424|≤5 mm; preferably, the following conditions may be met: 0.1 mm≤|HIF424|≤3.5 mm and 0.1 mm≤|HIF414|≤3.5 mm.
(58) In one embodiment of the optical image capturing system of the present disclosure, a chromatic aberration of the optical image capturing system may be easier to correct via alternately arranging lenses with a large Abbe number and a small Abbe number.
(59) An equation of the aforementioned aspheric surface is:
z=ch2/[1+[1−(k+1)c2h2]0.5]+A4h4+A6h6+A8h8+A10h10+A12h12+A14h14+A16h16+A18h18+A20h20+ (1),
(60) wherein z is a position value of the position at a height h along the optical axis which refers to the surface apex, k is the conic coefficient, c is the reciprocal of curvature radius, and A4, A6, A8, A10, A12, A14, A16, A18 as well as A20 are high-order aspheric coefficients.
(61) In the optical image capturing system provided by the present disclosure, a material of lens may be glass or plastic. If a plastic material is adopted, a manufacture cost as well as a weight of the lens may be reduced effectively. If a glass material is adopted, a heat effect may be controlled, and a design space for configuring the lenses with their respective refractive powers of the optical image capturing system may also be increased. Additionally, the object-side surface and the image-side surface of the first to the fourth lens in the optical image capturing system may be aspheric surfaces, which provide more controlled variables, such that the number of lenses used may be less than that the number of lenses used when traditional glass lenses are selected; in addition, the aberration may be mitigated as well. Hence, the total height of the optical image capturing system may be reduced effectively.
(62) In addition, in the optical image capturing system provided by the present disclosure, if the surface of a lens is a convex surface, it means that the surface of the lens adjacent to the optical axis is a convex surface. If the surface of a lens is a concave surface, it means that the surface of the lens adjacent to the optical axis is a concave surface.
(63) Furthermore, the optical image capturing system of the present disclosure, at least one aperture stop may be configured depending on requirements so as to reduce stray light and improve image quality.
(64) The optical image capturing system of the present disclosure may be further applied to an optical system with an automatic-focus feature depending on requirements. Having features of both aberration correction and an ability to form high-quality images, the optical image capturing system may have even broader applications.
(65) The optical image capturing system of the present disclosure may include a driving module depending on requirements, wherein the driving module may be coupled to the lenses to enable lens movement. The aforementioned driving module may be a voice coil motor (VCM) which is used to drive the lenses to focus, or may be an optical image stabilization (OIS) element which is used to reduce a frequency of through-focus occurrence resulting from lens vibration when shooting photo or video.
(66) At least one lens among the first, second, third and fourth lenses of the optical image capturing system of the present disclosure may be set as a light filtering element which filters wavelength less than 500 nm depending on requirements. The light filtering element may be made by coating a film on at least one surface of the lens specifically having a filtering function, or by forming the lens itself with a material which may filter out light with short wavelengths.
(67) Specific embodiments are presented below in detail with reference to figures based on the description above.
First Embodiment
(68) Please refer to
(69) First lens 110 has negative refractive power and is made of glass materials. The first lens 110 has a convex object-side surface 112 and a concave image-side surface 114, wherein both of them are aspheric. The outline curve length of the maximum effective half diameter of the object-side surface of the first lens is denoted as ARS11. The outline curve length of the maximum effective half diameter of the image-side surface of the first lens is denoted as ARS12. The outline curve length of ½ entrance pupil diameter (HEP) of the object-side surface of the first lens is denoted as ARE11, and the length of outline curve of ½ entrance pupil diameter (HEP) of the image-side surface of the first lens is denoted as ARE12. The central thickness of the first lens on the optical axis is denoted as TP1.
(70) A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the object-side surface of the first lens to an intersection point on the optical axis of the object-side surface of the first lens is denoted as SGI111. A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the image-side surface of the first lens to an intersection point on the optical axis of the image-side surface of the first lens is denoted as SGI121. The following conditions are met: SGI111=0 mm, SGI121=0 mm, |SGI111|/(|SGI111|+TP1)=0 and |SGI121|/(|SGI121|+TP1)=0.
(71) A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the object-side surface of the first lens to an intersection point on the optical axis of the object-side surface of the first lens is denoted as HIF111. A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the image-side surface of the first lens to an intersection point on the optical axis of the image-side surface of the first lens is denoted as HIF121. The following conditions are met: HIF111=0 mm, HIF121=0 mm, HIF111/HOI=0 and HIF121/HOI=0.
(72) Second lens 120 has positive refractive power and is made of plastic materials. The second lens 120 has a concave object-side surface 122 and a convex image-side surface 124, wherein both of them are aspheric, and the object-side surface 122 thereof has an inflection point. The outline curve length of the maximum effective half diameter of the object-side surface of the second lens is denoted as ARS21, and the outline curve length of the maximum effective half diameter of the image-side surface of the second lens is denoted as ARS22. The outline curve length of ½ entrance pupil diameter (HEP) of the object-side surface of the second lens is denoted as ARE21, and the outline curve length of ½ entrance pupil diameter (HEP) of the image-side surface of the second lens is denoted as ARE22. The central thickness of the second lens on the optical axis is denoted as TP2.
(73) A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the object-side surface of the second lens to an intersection point on the optical axis of the object-side surface of the second lens is denoted as SGI211. A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the image-side surface of the second lens to an intersection point on the optical axis of the image-side surface of the second lens is denoted as SGI221. The following conditions are met: SGI211=−0.13283 mm and |SGI211|/(|SGI211|+TP2)=0.05045.
(74) A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the object-side surface of the second lens to an intersection point on the optical axis of the object-side surface of the second lens is denoted as HIF211. A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the image-side surface of the second lens to an intersection point on the optical axis of the image-side surface of the second lens is denoted as HIF221. The following conditions are met: HIF211=2.10379 mm and HIF211/HOI=0.69478.
(75) The third lens 130 has negative refractive power and is made of plastic materials. The third lens 130 has a concave object-side surface 132 and a concave image-side surface 134, wherein both of them are aspheric, and the image-side surface 134 thereof has an inflection point. The outline curve length of the maximum effective half diameter of the object-side surface of the third lens is denoted as ARS31, and the outline curve length of the maximum effective half diameter of the image-side surface of the third lens is denoted as ARS32. The outline curve length of ½ entrance pupil diameter (HEP) of the object-side surface of the third lens is denoted as ARE31, and the outline curve length of ½ entrance pupil diameter (HEP) of the image-side surface of the third lens is denoted as ARE32. The central thickness of the third lens on the optical axis is denoted as TP3.
(76) A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the object-side surface of the third lens to an intersection point on the optical axis of the object-side surface of the third lens is denoted as SGI311. A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the image-side surface of the third lens to an intersection point on the optical axis of the image-side surface of the third lens is denoted as SGI321. The following conditions are met: SGI321=0.01218 mm, and |SGI321|/(|SGI321|+TP3)=0.03902.
(77) A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the object-side surface of the third lens to the optical axis is denoted as HIF311. A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the image-side surface of the third lens to an intersection point on the optical axis of the image-side surface of the third lens is denoted as HIF321. The following conditions are met: HIF321=0.84373 mm and HIF321/HOI=0.27864.
(78) The fourth lens 140 has positive refractive power and is made of plastic materials. The fourth lens 140 has a convex object-side surface 142 and a convex image-side surface 144, wherein both of them are aspheric, and the image-side surface 144 thereof has an inflection point. The outline curve length of the maximum effective half diameter of the object-side surface of the fourth lens is denoted as ARS41, and the outline curve length of the maximum effective half diameter of the image-side surface of the fourth lens is denoted as ARS42. The outline curve length of ½ entrance pupil diameter (HEP) of the object-side surface of the fourth lens is denoted as ARE41, and the outline curve length of ½ entrance pupil diameter (HEP) of the image-side surface of the fourth lens is denoted as ARE42. The central thickness of the fourth lens on the optical axis is denoted as TP4.
(79) A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the object-side surface of the fourth lens to an intersection point on the optical axis of the object-side surface of the fourth lens is denoted as SGI411. A horizontal shift distance in parallel with the optical axis from an inflection point which is nearest to the optical axis on the image-side surface of the fourth lens to an intersection point on the optical axis of the image-side surface of the fourth lens is denoted as SGI421. The following conditions are met: SGI411=0 mm, SGI421=−0.41627 mm, |SGI411|/(|SGI411|+TP4)=0 and |SGI421|/(|SGI421|+TP4)=0.25015.
(80) A horizontal shift distance in parallel with the optical axis from an inflection point which is second nearest to the optical axis on the object-side surface of the fourth lens to an intersection point on the optical axis of the object-side surface of the fourth lens is denoted as SGI412. The following conditions are met: SGI412=0 mm and |SGI412|/(|SGI412|+TP4)=0.
(81) A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the object-side surface of the fourth lens to the optical axis is denoted as HIF411. A perpendicular distance to the optical axis from the inflection point which is nearest to the optical axis on the image-side surface of the fourth lens to the optical axis is denoted as HIF421. The following conditions are met: HIF411=0 mm, HIF421=1.55079 mm, HIF411/HOI=0 and HIF421/HOI=0.51215.
(82) A perpendicular distance to the optical axis from the inflection point which is second nearest to the optical axis on the object-side surface of the fourth lens to the optical axis is denoted as HIF412. The following conditions are met: HIF412=0 mm and HIF412/HOI=0.
(83) The infrared filter 170 is made of glass materials and configured between the fourth lens 140 and the image plane 180. Additionally, the infrared filter 170 does not affect the focal length of the optical image capturing system.
(84) In the optical image capturing system of the first embodiment, the focal length of the optical image capturing system is f, the entrance pupil diameter of the optical image capturing system is HEP, and half of the maximum angle of view of the optical image capturing system is HAF. The detailed parameters are shown as follows: f=2.6841 mm, f/HEP=2.7959, HAF=70 deg. and tan(HAF)=2.7475.
(85) In the optical image capturing system of the first embodiment, the focal length of the first lens 110 is f1, and the focal length of the fourth lens 140 is f4. The following conditions are met: f1=−5.4534 mm, |f/f1=0.4922, f4=2.7595 mm and |f1/f4|=1.9762.
(86) In the optical image capturing system of the first embodiment, the focal length of the second lens 120 is f2, and the focal length of the third lens 130 is f3. The following conditions are met: |f2|+|f3|=13.2561 mm, |f1|+|f4|=8.2129 mm and |f2|+|f3|>|f1|+|f4|.
(87) The ratio of the focal length f of the optical image capturing system to a focal length fp of each of lenses with positive refractive powers is denoted as PPR. The ratio of the focal length f of the optical image capturing system to a focal length fn of each of lenses with negative refractive powers is denoted as NPR. In the optical image capturing system of the first embodiment, the sum of the PPR of all lenses with positive refractive power is ΣPPR=|f/f2|+|f/f4|=1.25394, and the sum of the NPR of all lenses with negative refractive power is ΣNPR=|f/f1|+|f/f2|=1.21490, wherein ΣPPR/|ΣNPR|=1.03213. The following conditions are also met: |f/f1|=0.49218, |f/f2|=0.28128, |f/f3|=0.72273 and |f/f4|=0.97267.
(88) In the optical image capturing system of the first embodiment, a distance from the object-side surface 112 of the first lens to the image-side surface 144 of the fourth lens is denoted as InTL. A distance from the object-side surface 112 of the first lens to the image plane 180 is denoted as HOS. A distance from the aperture 100 to the image plane 180 is denoted as InS. Half of a diagonal length of an effective sensing field of the image sensing device 190 is denoted as HOI. A distance from the image-side surface 144 of the fourth lens to the image plane 180 is denoted as InB. The following conditions are met: InTL+InB=HOS, HOS=18.74760 mm, HOI=3.088 mm, HOS/HOI=6.19141, HOS/f=6.9848, InTL/HOS=0.6605, InS=8.2310 mm and InS/HOS=0.4390.
(89) In the optical image capturing system of the first embodiment, the sum of central thicknesses of all lenses with refractive power on the optical axis is denoted as ΣTP. The following conditions are met: ΣTP=4.9656 mm and ΣTP/InTL=0.4010. In this manner, a suitable contrast ratio for image formation in the optical image capturing system and a suitable yield rate of manufacturing the lenses may be simultaneously achieved, and an appropriate back focal length may be provided so as to accommodate other optical elements in the optical image capturing system.
(90) In the optical image capturing system of the first embodiment, the curvature radius of the object-side surface 112 of the first lens is denoted as R1. The curvature radius of the image-side surface 114 of the first lens is denoted as R2. The following condition is met: |R1/R2|=9.6100. Hence, the first lens element has a suitable magnitude of the positive refractive power, so as to prevent the spherical aberration from increasing too fast.
(91) In the optical image capturing system of the first embodiment, the curvature radius of the object-side surface 142 of the fourth lens is denoted as R7. The curvature radius of the image-side surface 144 of the fourth lens is denoted as R8. The following condition is satisfied: (R7−R8)/(R7+R8)=−35.5932. Hence, the astigmatism generated by the optical image capturing system may be easier to correct.
(92) In the optical image capturing system of the first embodiment, the sum of the focal lengths of all lenses with positive refractive power is denoted as ΣPP, which meets the following conditions: ΣPP=12.30183 mm, and f4/ΣPP=0.22432. Therefore, the positive refractive power of the fourth lens 140 may be distributed to other lenses with positive refractive power appropriately, so as to suppress noticeable aberrations generated in the process of the incident light travelling inwardly into the optical image capturing system.
(93) In the optical image capturing system of the first embodiment, the sum of the focal lengths of all lenses with negative refractive power is denoted as ΣNP, which meets the following conditions: ΣNP=−14.6405 mm, and f1/ΣNP=0.59488. Therefore, the negative refractive power of the first lens 110 may be distributed to other lenses with negative refractive power appropriately, so as to suppress noticeable aberrations generated in the process of the incident light travelling inwardly into the optical image capturing system.
(94) In the optical image capturing system of the first embodiment, the distance between the first lens 110 and the second lens 120 on the optical axis is denoted as IN12. The following conditions are satisfied: IN12=4.5709 mm, and IN12/f=1.70299. Hence, the chromatic aberration of the lenses may be mitigated, so as to improve the performance thereof.
(95) In the optical image capturing system of the first embodiment, the distance between the second lens 120 and the third lens 130 on the optical axis is denoted as IN23. The following conditions are satisfied: IN23=2.7524 mm, IN23/f=1.02548. Hence, the chromatic aberration of the lenses may be mitigated, so as to improve the performance thereof.
(96) In the optical image capturing system of the first embodiment, the distance between the third lens 130 and the fourth lens 140 on the optical axis is denoted as IN34. The following conditions are satisfied: IN34=0.0944 mm and IN34/f=0.03517. Hence, the chromatic aberration of the lenses may be mitigated, so as to improve the performance thereof.
(97) In the optical image capturing system of the first embodiment, central thicknesses of the first lens 110 and the second lens 120 on the optical axis are denoted as TP1 and TP2, respectively. The following conditions are satisfied: TP1=0.9179 mm, TP2=2.5000 mm, TP1/TP2=0.36715 and (TP1+IN12)/TP2=2.19552. Hence, the sensitivity formed via the optical image capturing system may be easier to control, and the performance thereof may be improved.
(98) In the optical image capturing system of the first embodiment, central thicknesses of the third lens 130 and the fourth lens 140 on the optical axis are denoted as TP3 and TP4, respectively. The distance between the aforementioned two lenses on the optical axis is denoted as IN34. The following conditions are satisfied: TP3=0.3 mm, TP4=1.2478 mm, TP3/TP4=0.24043 and (TP4+IN34)/TP3=4.47393. Hence, the sensitivity formed via the optical image capturing system may be easier to control, and the total height of the optical image capturing system may be reduced.
(99) In the optical image capturing system of the first embodiment, the following condition is satisfied: IN23/(TP2+IN23+TP3)=0.49572. Hence, an aberration generated in a process of the incident light travelling inwardly into the optical image capturing system may be easier to gradually correct layer upon layer, and a total height of the optical image capturing system may be reduced.
(100) In the optical image capturing system of the first embodiment, a horizontal shift distance in parallel with the optical axis from a maximum effective half diameter position to an intersection point of the optical axis and the object-side surface 142 of the fourth lens is denoted as InRS41. A horizontal shift distance in parallel with the optical axis from a maximum effective half diameter position to an intersection point of the optical axis and the image-side surface 144 of the fourth lens is denoted as InRS42. A central thickness of the fourth lens 140 is denoted as TP4. The following conditions are satisfied: InRS41=0.2955 mm, InRS42=−0.4940 mm, |InRS41|+|InRS42|=0.7894 mm, |InRS41|/TP4=0.23679 and |InRS42|/TP4=0.39590. Hence, the configuration is beneficial for manufacturing and forming the lenses, and for effectively retaining the miniaturization of the optical image capturing system.
(101) In the optical image capturing system of the first embodiment, a perpendicular distance to the optical axis between a critical point C41 on the object-side surface 142 of the fourth lens and the optical axis is denoted as HVT41. A perpendicular distance to the optical axis between a critical point C42 on the image-side surface 144 of the fourth lens and the optical axis is denoted as HVT42. The following conditions are satisfied: HVT41=0 mm and HVT42=0 mm.
(102) In the optical image capturing system of the present embodiment, the following condition is satisfied: HVT42/HOI=0.
(103) In the optical image capturing system of the present embodiment, the following condition is satisfied: HVT42/ HOS=0.
(104) In the optical image capturing system of the first embodiment, the Abbe number of the first lens is denoted as NA1. The Abbe number of the second lens is denoted as NA2. An Abbe number of the third lens is denoted as NA3. An Abbe number of the fourth lens is denoted as NA4. The following condition is satisfied: |NA1−NA2|=0.0351. Hence, the chromatic aberration of the optical image capturing system may be easier to correct.
(105) In the optical image capturing system of the first embodiment, the TV distortion and optical distortion when images are formed in the optical image capturing system are TDT and ODT, respectively. The following conditions are satisfied: TDT=37.4846% and ODT=−55.3331%.
(106) In the present embodiment of the disclosure, light of any field of view may be further divided into sagittal ray and tangential ray, and a spatial frequency of 220 cycles/mm serves as the benchmark for assessing the focus shifts and the values of MTF. The focus shifts where the through-focus MTF values of the visible sagittal ray at the central field of view, 0.3 field of view and 0.7 field of view of the optical image capturing system are at their respective maximums are denoted as VSFS0, VSFS3 and VSFS7 (unit of measurement: mm), respectively, wherein the values of VSFS0, VSFS3 and VSFS7 are equal to 0.00000 mm, 0.00000 mm and 0.00000 mm, respectively. The maximum values of the through-focus MTF of the visible sagittal ray at the central field of view, 0.3 field of view and 0.7 field of view are denoted as VSMTF0, VSMTF3 and VSMTF7, respectively, wherein the values of VSMTF0, VSMTF3 and VSMTF7 are equal to 0.416, 0.397 and 0.342, respectively. The focus shifts where the through-focus MTF values of the visible tangential ray at the central field of view, 0.3 field of view and 0.7 field of view of the optical image capturing system are at their respective maximums are denoted as VTFS0, VTFS3 and VTFS7 (unit of measurement: mm), respectively, wherein the values of VTFS0, VTFS3 and VTFS7 are equal to 0.00000 mm, 0.00000 mm, and −0.01000 mm, respectively. The maximum values of the through-focus MTF of the visible tangential ray at the central field of view, 0.3 field of view and 0.7 field of view are denoted as VTMTF0, VTMTF3 and VTMTF7, respectively, wherein the values of VTMTF0, VTMTF3 and VTMTF7 are equal to 0.416, 0.34 and 0.139, respectively. The average focus shift (position) of the aforementioned focus shifts of the visible sagittal ray at three fields of view and the visible tangential ray at three fields of view is denoted as AVFS (unit of measurement: mm), which meets the absolute value of |(VSFS0+VSFS3+VSFS7+VTFS0+VTFS3+VTFS7)/6|=|−0.00200 mm|.
(107) The focus shifts where the through-focus MTF values of the infrared sagittal ray at the central field of view, 0.3 field of view and 0.7 field of view of the optical image capturing system are at their respective maximums are denoted as ISFS0, ISFS3 and ISFS7 (unit of measurement: mm), respectively, wherein the values of ISFS0, ISFS3 and ISFS7 are equal to 0.03000 mm, 0.03300 mm, and 0.03300 mm, respectively. The average focus shift (position) of the aforementioned focus shifts of the infrared sagittal ray at three fields of view is denoted as AISFS. The maximum values of the through-focus MTF of the infrared sagittal ray at the central field of view, 0.3 field of view and 0.7 field of view are denoted as ISMTF0, ISMTF3, and ISMTF7, respectively, wherein the values of ISMTF0, ISMTF3 and ISMTF7 are equal to 0.169, 0.148 and 0.089, respectively. The focus shifts where the through-focus MTF values of the infrared tangential ray at the central field of view, 0.3 field of view and 0.7 field of view of the optical image capturing system are at their respective maximums are denoted as ITFS0, ITFS3 and ITFS7 (unit of measurement: mm), respectively, wherein the values of ITFS0, ITFS3 and ITFS7 equal to 0.03, 0.028 and 0.005, respectively. The average focus shift (position) of the aforementioned focus shifts of the infrared tangential ray at three fields of view is denoted as AITFS (the unit of measurement: mm). The maximum values of the through-focus MTF of the infrared tangential ray at the central field of view, 0.3 field of view and 0.7 field of view are denoted as ITMTF0, ITMTF3 and ITMTF7, respectively, wherein the values of ITMTF0, ITMTF3 and ITMTF7 equal to 0.169, 0.093 and 0.00000, respectively. The average focus shift (position) of the aforementioned focus shifts of the infrared sagittal ray at the three fields of view and of the infrared tangential ray at the three fields of view is denoted as AIFS (unit of measurement: mm), which meets the absolute value of |(ISFS0+ISFS3+ISFS7+ITFS0+ITFS3+ITFS7)/6|=|0.02600 mm|.
(108) The focus shift between the focal points for the visible light and the infrared light (RGB/IR) at their central fields of view of the entire optical image capturing system (i.e. the wavelength of 850 nm versus the wavelength of 555 nm, unit of measurement: mm) is denoted as FS (the distance between the first and second image planes on the optical axis), which meets the absolute value of |(VSFS0+VTFS0)/2−(ISFS0+ITFS0)/2|=|0.03000 mm|. The difference (focus shift) between the average focus shift of the visible light at the three fields of view and the average focus shift of the infrared light (RGB/IR) at the three fields of view of the entire optical image capturing system is denoted as AFS (i.e. the wavelength of 850 nm versus the wavelength of 555 nm, unit of measurement: mm), which meets the absolute value of |AIFS−AVFS|=|0.02800 mm|.
(109) In the optical image capturing system of the first embodiment, the transverse aberration of the longest operation wavelength of a positive direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as PLTA, which is −0.018 mm. The transverse aberration of the shortest operation wavelength of a positive direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as PSTA, which is 0.010 mm. The transverse aberration of the longest operation wavelength of the negative direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as NLTA, which is 0.003 mm. The transverse aberration of the shortest operation wavelength of the negative direction tangential fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as NSTA, which is −0.003 mm. The transverse aberration of the longest operation wavelength of the sagittal fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as SLTA, which is −0.010 mm. The transverse aberration of the shortest operation wavelength of the sagittal fan passing through the edge of the aperture and incident at the position of 0.7 field of view on the image plane is denoted as SSTA, which is 0.003 mm.
(110) Table 1 and Table 2 below should be incorporated into the reference of the present embodiment.
(111) TABLE-US-00001 TABLE 1 Lens Parameters for the First Embodiment f(focal length) = 2.6841 mm; f/HEP = 2.7959; HAF(half angle of view) = 70 deg.; tan(HAF) = 2.7475 Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index No. Distance 0 Object Plane At infinity 1 Lens 1 31.98102785 0.918 Glass 1.688 50.26 −5.453 2 3.327880578 4.571 3 Lens 2 −15.2556818 2.500 Plastic 1.642 22.46 9.542 4 −4.681543531 2.528 5 Aperture Plane 0.225 6 Lens 3 −2.453543123 0.300 Plastic 1.642 22.46 −3.714 7 127.8664454 0.094 8 Lens 4 2.697747363 1.248 Plastic 1.544 56.09 2.759 9 −2.853715061 0.725 10 Infrared Plane 2.000 BK7_SCHOTT 1.517 64.13 Filter 11 Plane 3.640 12 Image Plane Plane Reference Wavelength = 555 nm; Shield Position: The 3.sup.rd surface with clear aperture of 3.0 mm
(112) TABLE-US-00002 TABLE 2 Aspheric Coefficients of the First Embodiment Table 2: Aspheric Coefficients Surface No. 3 4 6 7 8 9 k= −2.918829E+01 −3.214789E+00 −1.504539E+01 −2.970417E+01 −1.613370E+01 −1.145951E+00 A.sub.4= −9.004096E−04 −9.725260E−06 8.890018E−05 3.634454E−02 9.587367E−03 −4.742020E−03 A.sub.6= 2.391364E−04 −8.096303E−05 −1.166688E−02 −3.060142E−02 −3.693991E−03 1.232422E−03 A.sub.8= −2.421089E−05 7.787465E−07 −5.720942E−04 8.833265E−03 8.653836E−04 3.333400E−04 A.sub.10= 1.716292E−06 3.517517E−07 8.305770E−04 −1.362695E−03 −7.093620E−05 −2.583094E−06 A.sub.12= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00
(113) The values pertaining to the outline curve lengths may be obtained according to data in Table 1 and Table 2:
(114) TABLE-US-00003 First Embodiment (Primary Reference Wavelength Used = 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.480 0.480 0.000 100.00% 0.918 52.30% 12 0.480 0.482 0.002 100.35% 0.918 52.48% 21 0.480 0.480 0.000 100.02% 2.500 19.20% 22 0.480 0.481 0.001 100.17% 2.500 19.23% 31 0.480 0.482 0.002 100.49% 0.300 160.78% 32 0.480 0.480 0.000 100.00% 0.300 160.00% 41 0.480 0.482 0.002 100.42% 1.248 38.63% 42 0.480 0.482 0.002 100.47% 1.248 38.65% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 5.943 5.978 0.035 100.58% 0.918 651.27% 12 3.236 4.439 1.204 137.20% 0.918 483.66% 21 3.000 3.007 0.007 100.24% 2.500 120.29% 22 2.855 2.983 0.128 104.49% 2.500 119.33% 31 1.061 1.079 0.017 101.61% 0.300 359.54% 32 1.293 1.292 −0.001 99.95% 0.300 430.77% 41 1.642 1.676 0.034 102.06% 1.248 134.30% 42 1.767 1.859 0.092 105.21% 1.248 148.98%
(115) Table 1 is the detailed structural data for the first embodiment in
Second Embodiment
(116) Please refer to
(117) The first lens 210 has positive refractive power and is made of plastic material. The first lens 210 has a convex object-side surface 212 and a concave image-side surface 214, wherein both of them are aspheric. The image-side surface 214 has one inflection point.
(118) The second lens 220 has positive refractive power and is made of plastic material. The second lens 220 has a concave object-side surface 222 and a convex image-side surface 224, wherein both of them are aspheric. The image-side surface 224 has two inflection points.
(119) The third lens 230 has negative refractive power and is made of plastic material. The third lens 230 has a concave object-side surface 232 and a convex image-side surface 234, wherein both of them are aspheric. The object-side surface 232 has two inflection points and the image-side surface 234 has one inflection point.
(120) The fourth lens 240 has negative refractive power and is made of plastic material. The fourth lens 240 has a convex object-side surface 242 and a concave image-side surface 244, wherein both of them are aspheric. The object-side surface 242 and the image-side surface 244 each has one inflection point.
(121) The infrared filter 270 is made of glass material and is configured between the fourth lens 240 and the image plane 280. The infrared filter 270 does not affect the focal length of the optical image capturing system.
(122) Table 3 and Table 4 below should be incorporated into the reference of the present embodiment.
(123) TABLE-US-00004 TABLE 3 Lens Parameters of the Second Embodiment f(focal length) = 1.327 mm; f/HEP = 2.0; HAF(half angle of view) = 37.495 deg. Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index No. Length 0 Object 1E+18 1E+18 1 Aperture 1E+18 −0.067 2 Lens 1 0.618467252 0.282 Plastic 1.535 56.27 1.360 3 3.416065403 0.034 4 1E+18 0.117 5 Lens 2 −1.162407401 0.266 Plastic 1.535 56.27 0.834 6 −0.348828145 0.059 7 Lens 3 −0.230253772 0.190 Plastic 1.642 22.46 −3.910 8 −0.335439926 0.033 9 Lens 4 0.768985307 0.179 Plastic 1.642 22.46 −1.554 10 0.396082053 0.101 11 Infrared Filter 1E+18 0.210 BK7_SCHOTT 1.517 64.13 12 1E+18 0.310 13 Image Plane 1E+18 0.000 Reference wavelength = 555 nm; shield position: the 4.sup.th surface with clear aperture of 0.345 mm and the 8.sup.th surface with clear aperture of 0.460 mm
(124) TABLE-US-00005 TABLE 4 The Aspheric Coefficients of the Second Embodiment Table 4: Aspheric Coefficients Surface No. 2 3 5 6 7 8 k= −1.365642E−01 −7.811687E−01 −3.065997E+00 −6.081871E+00 −5.317767E+00 −8.457929E−01 A.sub.4= 3.107286E−01 9.618249E−01 −3.912598E+00 2.902210E+00 4.792231E+00 1.528043E+01 A.sub.6= −5.963608E+00 −8.649125E+01 1.503082E+02 −9.989074E+01 −2.008042E+02 −4.013511E+02 A.sub.8= 1.674859E+02 3.266812E+03 −5.174354E+03 1.513108E+03 3.593136E+03 6.359907E+03 A.sub.10= −2.923604E+03 −6.758126E+04 9.841179E+04 −1.035890E+04 −3.596293E+04 −6.020878E+04 A.sub.12= 3.130049E+04 7.495798E+05 −1.114814E+06 4.179823E+04 2.279924E+05 3.365563E+05 A.sub.14= −1.849124E+05 −4.270347E+06 6.869561E+06 −1.765610E+05 −8.692110E+05 −1.018504E+06 A.sub.16= 4.504404E+05 9.766372E+06 −1.778629E+07 4.189037E+05 1.384791E+06 1.278224E+06 A.sub.18= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 9 10 k= −5.291583E+01 −8.086603E+00 A.sub.4= 5.854545E−01 −4.363494E+00 A.sub.6= −2.569697E+02 6.300384E+00 A.sub.8= 4.337255E+03 1.193294E+02 A.sub.10= −3.674555E+04 −8.970280E+02 A.sub.12= 1.741274E+05 2.748052E+03 A.sub.14= −4.409546E+05 −4.041443E+03 A.sub.16= 4.633543E+05 2.337879E+03 A.sub.18= 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00
(125) In the second embodiment, the form of the aspheric surface equation therein is presented as that in the first embodiment. In addition, the definition of parameters in the following tables is equivalent to that in the first embodiment, so that the repetitive details are not stated here.
(126) The following conditional values may be obtained according to the data in Table 3 and Table 4.
(127) TABLE-US-00006 Second Embodiment (Primary reference wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.20004 −0.14013 0.17715 0.32460 1.69844 0.88322 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.97552 1.59111 0.33935 0.85404 1.63104 0.21328 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 2.44514 1.31487 1.85961 −0.71970 −2.54977 2.15870 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f −0.53344 0.11435 0.04462 0.02459 0.14320 0.13458 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 1.16081 1.78220 1.73366 0.94522 0.65134 0.79019 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.62891 1.11153 1.05942 1.06402 0.11481 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 1.1202 0.7847 0.3158 0.1821 f1/f2 TP2/TP3 IN12 IN23 IN34 1.631 1.402 0.152 0.059 0.033 InTL234 InTL234/f HEP HEP/IN12 0.727 0.548 0.6634 4.372 PSTA PLTA NSTA NLTA SSTA SLTA −0.013 mm 0.001 mm 0.007 mm 0.001 mm −0.004 mm 0.005 mm VSFS0 VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.005 0.008 −0.008 0.005 0.005 0.008 VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.496 0.506 0.463 0.496 0.448 0.284 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.020 0.020 0.015 0.018 0.018 0.005 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.520 0.426 0.386 0.507 0.300 0.139 FS AIFS AVFS AFS 0.015 0.016 0.004 0.012
(128) The following conditional values may be obtained according to the data in Table 3 and Table 4.
(129) TABLE-US-00007 Values Related to Inflection Point of Second Embodiment (Primary Reference Wavelength = 555 nm) HIF121 0.20873 HIF121/HOI 0.20305 SGI121 0.00619 |SGI121|/(|SGI121| + TP1) 0.02147 HIF221 0.23574 HIF221/HOI 0.22932 SGI221 −0.05471 |SGI221|/(|SGI221| + TP2) 0.17036 HIF222 0.29082 HIF222/HOI 0.28290 SGI222 −0.07364 |SGI222|/(|SGI222| + TP2) 0.21654 HIF311 0.24890 HIF311/HOI 0.24212 SGI311 −0.07689 |SGI311|/(|SGI311| + TP3) 0.28809 HIF312 0.30138 HIF312/HOI 0.29318 SGI312 −0.09981 |SGI312|/(|SGI312| + TP3) 0.34438 HIF321 0.43896 HIF321/HOI 0.42700 SGI321 −0.22872 |SGI321|/(|SGI321| + TP3) 0.54623 HIF411 0.10070 HIF411/HOI 0.09795 SGI411 0.00539 |SGI411|/(|SGI411| + TP4) 0.02928 HIF412 0.48471 HIF412/HOI 0.47151 SGI412 −0.17202 |SGI412|/(|SGI412| + TP4) 0.49066 HIF421 0.14296 HIF421/HOI 0.13906 SGI421 0.01987 |SGI421|/(|SGI421| + TP4) 0.10012 HIF422 0.67926 HIF422/HOI 0.66076 SGI422 −0.12965 |SGI422|/(|SGI422| + TP4) 0.42064
(130) The following conditional values may be obtained according to the data in Table 3 and Table 4.
(131) TABLE-US-00008 Second Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.332 0.350 0.01802 105.43% 0.282 123.91% 12 0.332 0.331 −0.00047 99.86% 0.282 117.35% 21 0.332 0.348 0.01640 104.94% 0.266 130.66% 22 0.332 0.344 0.01235 103.72% 0.266 129.14% 31 0.332 0.352 0.02010 106.06% 0.190 185.16% 32 0.332 0.363 0.03122 109.41% 0.190 191.01% 41 0.332 0.337 0.00496 101.50% 0.179 188.54% 42 0.332 0.335 0.00287 100.86% 0.179 187.37% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 0.332 0.350 0.018 105.43% 0.282 123.91% 12 0.338 0.338 0.000 100.06% 0.282 119.85% 21 0.337 0.357 0.020 105.91% 0.266 134.03% 22 0.411 0.453 0.043 110.43% 0.266 170.17% 31 0.491 0.771 0.280 157.00% 0.190 405.92% 32 0.460 0.537 0.077 116.76% 0.190 282.67% 41 0.503 0.585 0.082 116.34% 0.179 327.50% 42 0.687 0.753 0.066 109.67% 0.179 421.74%
Third Embodiment
(132) Please refer to
(133) The first lens 310 has positive refractive power and is made of plastic material. The first lens 310 has a convex object-side surface 312 and a concave image-side surface 314, wherein both of them are aspheric. The image-side surface 314 has one inflection point.
(134) The second lens 320 has positive refractive power and is made of plastic material. The second lens 320 has a concave object-side surface 322 and a convex image-side surface 324, wherein both of them are aspheric.
(135) The third lens 330 has negative refractive power and is made of plastic material. The third lens 330 has a concave object-side surface 332 and a convex image-side surface 334, wherein both of them are aspheric. The image-side surface 334 has one inflection point.
(136) The fourth lens 340 has negative refractive power and is made of plastic material. The fourth lens 340 has a convex object-side surface 342 and a concave image-side surface 344, wherein both of them are aspheric. The object-side surface 342 has two inflection points and the image-side surface 344 has one inflection point.
(137) The infrared filter 370 is made of glass material and is configured between the fourth lens 340 and the image plane 380. The infrared filter 370 does not affect the focal length of the optical image capturing system.
(138) Table 5 and Table 6 below should be incorporated into the reference of the present embodiment.
(139) TABLE-US-00009 TABLE 5 Lens Parameters of the Third Embodiment f(focal length) = 1.32075 mm; f/HEP = 2.0; HAF(half angle of view) = 37.4926 deg. Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index No. Length 0 Object 1E+18 1E+18 1 Aperture 1E+18 −0.067 2 Lens 1 0.622944458 0.256 Plastic 1.535 56.27 1.339 3 4.031994408 0.029 4 1E+18 0.136 5 Lens 2 −0.924041418 0.259 Plastic 1.535 56.27 0.926 6 −0.354752433 0.050 7 Lens 3 −0.245490266 0.170 Plastic 1.642 22.46 −1.494 8 −0.418477027 0.025 9 Lens 4 0.505054153 0.170 Plastic 1.642 22.46 −7.036 10 0.39450852 0.165 11 Infrared 1E+18 0.210 BK7_SCHOTT 1.517 64.13 Filter 12 1E+18 0.310 13 Image 1E+18 0.000 Plane Reference wavelength = 555 nm; shield position: the 4.sup.th surface with clear aperture of 0.345 mm and the 8.sup.th surface with clear aperture of 0.468 mm
(140) TABLE-US-00010 TABLE 6 The Aspheric Coefficients of the Third Embodiment Table 6: Aspheric Coefficients Surface No. 2 3 5 6 7 8 k= −1.085921E+01 −2.548739E−01 −2.575272E+01 −1.792746E+00 −3.171500E+00 −7.701317E−01 A.sub.4= 5.599856E+00 −7.247753E−01 −6.021683E+00 3.558782E+00 6.155732E+00 5.661774E+00 A.sub.6= −6.372193E+01 7.511250E+00 3.594659E+01 2.173699E+00 −1.169016E+02 −7.024593E+01 A.sub.8= 8.804139E+02 −2.827608E+02 −4.507293E+02 −2.187654E+03 −5.718201E+02 1.149627E+02 A.sub.10= −1.027121E+04 2.944985E+03 4.614342E+03 4.314900E+04 3.154356E+04 4.615139E+03 A.sub.12= 8.147728E+04 −1.379222E+04 −3.469052E+04 −3.669063E+05 −3.159463E+05 −3.836392E+04 A.sub.14= −3.756482E+05 −3.982158E+04 1.008579E+05 1.448955E+06 1.326918E+06 1.210188E+05 A.sub.16= 7.102846E+05 3.582618E+05 −2.484966E+04 −2.190597E+06 −2.116712E+06 −1.376613E+05 A.sub.18= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 9 10 k= −1.615665E+01 −4.031948E+00 A.sub.4= 9.405843E−02 −5.707877E+00 A.sub.6= −1.207976E+02 2.241881E+01 A.sub.8= 1.314207E+03 −4.354937E+01 A.sub.10= −6.850492E+03 −5.439969E+00 A.sub.12= 1.948933E+04 1.811404E+02 A.sub.14= −2.938333E+04 −3.140455E+02 A.sub.16= 1.884324E+04 1.797143E+02 A.sub.18= 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00
(141) In the third embodiment, the form of the aspheric surface equation therein is presented as that in the first embodiment. In addition, the definition of parameters in the following tables is equivalent to that in the first embodiment, so that the repetitive details are not stated here.
(142) The following values for the conditional expressions may be obtained from the data in Table 5 and Table 6.
(143) TABLE-US-00011 Third Embodiment (Primary reference wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.12257 −0.10718 0.23579 0.34872 2.03559 0.64224 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.98665 1.42582 0.88395 0.18770 1.44511 0.61996 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 2.30976 1.17435 1.96684 −0.56784 −5.69771 −1.63130 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f −0.23494 0.12522 0.03755 0.01893 0.12871 0.12871 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 1.09541 1.78051 1.73201 0.94839 0.61522 0.78093 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.62544 1.14706 0.98766 1.00000 0.10354 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.7210 0.6305 0.3392 0.1959 f1/f2 TP2/TP3 IN12 IN23 IN34 1.942 1.538 0.165 0.050 0.025 InTL234 InTL234/f HEP HEP/IN12 0.696 0.527 0.6608 4.009 PSTA PLTA NSTA NLTA SSTA SLTA −0.013 mm 0.001 mm 0.007 mm 0.001 mm −0.004 mm 0.005 mm VSFS0 VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.003 0.003 −0.005 0.003 0.005 0.005 VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.631 0.592 0.558 0.631 0.529 0.437 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.015 0.015 0.008 0.015 0.018 0.018 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.527 0.499 0.459 0.527 0.442 0.242 FS AIFS AVFS AFS 0.013 0.015 0.002 0.013
(144) The following values for the conditional expressions may be obtained from the data in Table 5 and Table 6.
(145) TABLE-US-00012 Values Related to Inflection Point of Third Embodiment (Primary Reference Wavelength = 555 nm) HIF121 0.16004 HIF121/HOI 0.15568 SGI121 0.00273 |SGI121|/(|SGI121| + TP1) 0.01056 HIF321 0.34950 HIF321/HOI 0.33998 SGI321 −0.12992 |SGI321|/(|SGI321| + TP3) 0.43319 HIF411 0.12964 HIF411/HOI 0.12611 SGI411 0.01334 |SGI411|/(|SGI411| + TP4) 0.07274 HIF412 0.51520 HIF412/HOI 0.50116 SGI412 −0.09913 |SGI412|/(|SGI412| + TP4) 0.36833 HIF421 0.16133 HIF421/HOI 0.15694 SGI421 0.02613 |SGI421|/(|SGI421| + TP4) 0.13321
(146) The values pertaining to the outline curve lengths may be obtained from the data in Table 5 and Table 6:
(147) TABLE-US-00013 Third Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.330 0.347 0.01648 104.99% 0.256 135.29% 12 0.330 0.331 0.00056 100.17% 0.256 129.07% 21 0.330 0.352 0.02171 106.58% 0.259 135.64% 22 0.330 0.359 0.02937 108.90% 0.259 138.59% 31 0.330 0.364 0.03371 110.22% 0.170 213.96% 32 0.330 0.355 0.02543 107.71% 0.170 209.09% 41 0.330 0.333 0.00303 100.92% 0.170 195.91% 42 0.330 0.335 0.00536 101.62% 0.170 197.28% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 0.330 0.347 0.016 104.99% 0.256 135.29% 12 0.346 0.346 0.000 100.11% 0.256 135.17% 21 0.345 0.373 0.028 108.05% 0.259 143.91% 22 0.403 0.468 0.065 116.02% 0.259 180.52% 31 0.392 0.453 0.061 115.44% 0.170 266.39% 32 0.468 0.516 0.048 110.30% 0.170 303.65% 41 0.544 0.586 0.042 107.78% 0.170 344.61% 42 0.684 0.740 0.056 108.23% 0.170 435.40%
Fourth Embodiment
(148) Please refer to
(149) The first lens 410 has positive refractive power and is made of plastic material. The first lens 410 has a convex object-side surface 412 and a convex image-side surface 414, wherein both of them are aspheric. The object-side surface 412 has one inflection point.
(150) The second lens 420 has positive refractive power and is made of plastic material. The second lens 420 has a concave object-side surface 422 and a convex image-side surface 424, wherein both of them are aspheric.
(151) The third lens 430 has negative refractive power and is made of plastic material. The third lens 430 has a concave object-side surface 432 and a convex image-side surface 434, wherein both of them are aspheric. The object-side surface 432 and image-side surface 434 respectively have one inflection points.
(152) The fourth lens 440 has negative refractive power and is made of plastic material. The fourth lens 440 has a convex object-side surface 442 and a concave image-side surface 444, wherein both of them are aspheric. The object-side surface 442 has two inflection points and the image-side surface 444 has one inflection point.
(153) The infrared filter 470 is made of glass material and is configured between the fourth lens 440 and the image plane 480. The infrared filter 470 does not affect the focal length of the optical image capturing system.
(154) Table 7 and Table 8 below should be incorporated into the reference of the present embodiment.
(155) TABLE-US-00014 TABLE 7 Lens Parameters for the fourth Embodiment f(focal length) = 1.2105 mm; f/HEP = 1.8; HAF (half angle of view) = 39.9959 deg. Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index No. Length 0 Object 1E+18 1E+18 1 Aperture 1E+18 −0.067 2 Lens 1 0.784336281 0.247 Plastic 1.535 56.27 1.460 3 −393.9262737 0.025 4 1E+18 0.117 5 Lens 2 −1.101407874 0.263 Plastic 1.535 56.27 1.033 6 −0.399426327 0.068 7 Lens 3 −0.23133124 0.170 Plastic 1.642 22.46 −2.537 8 −0.347009161 0.025 9 Lens 4 0.498327622 0.170 Plastic 1.642 22.46 −7.086 10 0.389238689 0.175 11 Infrared 1E+18 0.210 BK7_SCHOTT 1.517 64.13 Filter 12 1E+18 0.310 13 Image 1E+18 0.000 Plane Reference wavelength = 555 nm; shield position: the 4.sup.th surface with clear aperture of 0.345 mm and the 8.sup.th surface with clear aperture of 0.468 mm
(156) TABLE-US-00015 TABLE 8 The Aspheric Coefficients of the Fourth Embodiment Table 8: Aspheric Coefficients Surface No. 2 3 5 6 7 8 k= −1.020827E+00 −3.038257E−06 −1.703173E+01 −1.800217E+00 −2.803791E+00 −8.721218E−01 A.sub.4= 5.627056E−02 −5.697717E−01 −2.752503E+00 3.705009E+00 7.040642E+00 8.194044E+00 A.sub.6= 5.057071E+00 8.511500E+00 1.335006E+01 −4.848739E+01 −2.032034E+02 −1.293267E+02 A.sub.8= −2.014915E+02 −2.838089E+02 −3.158938E+02 4.481381E+00 2.379889E+03 1.294220E+03 A.sub.10= 3.840518E+03 3.991369E+03 5.422582E+03 4.724044E+03 −1.550812E+04 −8.096744E+03 A.sub.12= −4.289195E+04 −3.514359E+04 −6.955130E+04 −4.455505E+04 6.358438E+04 3.313582E+04 A.sub.14= 2.546353E+05 1.673683E+05 4.700972E+05 1.748318E+05 −1.500607E+05 −7.948195E+04 A.sub.16= −6.403435E+05 −3.920760E+05 −1.429321E+06 −2.666417E+05 1.502723E+05 8.738322E+04 A.sub.18= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 9 10 k= −1.327939E+01 −2.656881E+00 A.sub.4= 2.247202E+00 −7.433225E+00 A.sub.6= −1.576761E+02 4.487536E+01 A.sub.8= 2.092105E+03 −1.766633E+02 A.sub.10= −1.495706E+04 4.017896E+02 A.sub.12= 6.122017E+04 −4.614220E+02 A.sub.14= −1.350593E+05 1.239455E+02 A.sub.16= 1.237298E+05 1.227822E+02 A.sub.18= 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00
(157) In the fourth embodiment, the form of the aspheric surface equation therein is presented as that in the first embodiment. In addition, the definition of parameters in the following tables is equivalent to that in the first embodiment, so that the repetitive details are not stated here.
(158) The following values for the conditional expressions may be obtained from the data in Table 7 and Table 8.
(159) TABLE-US-00016 Fourth Embodiment (Primary reference wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.11204 −0.10139 0.27835 0.39657 2.02448 1.24944 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.82922 1.17155 0.47713 0.17083 1.41283 0.40727 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 1.64868 1.00005 1.64860 −1.50378 −5.62614 −0.68710 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f −0.25947 0.11744 0.05644 0.02065 0.14044 0.14044 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 1.08524 1.78029 1.73180 0.95985 0.60959 0.78301 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.47709 1.14706 0.93692 1.00000 0.13623 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.6590 0.5964 0.3858 0.2228 f1/f2 TP2/TP3 IN12 IN23 IN34 1.413 1.548 0.142 0.068 0.025 InTL234 InTL234/f HEP HEP/IN12 0.696 0.575 0.6725 4.731 PSTA PLTA NSTA NLTA SSTA SLTA −0.009 mm 0.007 mm −0.002 mm −0.007 mm −0.001 mm 0.005 mm VSFS0 VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.003 0.005 −0.008 0.003 0.005 0.008 VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.597 0.524 0.542 0.597 0.426 0.347 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.018 0.018 0.008 0.018 0.018 0.018 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.565 0.517 0.480 0.565 0.450 0.258 FS AIFS AVFS AFS 0.015 0.016 0.003 0.013
(160) The following values for the conditional expressions may be obtained from the data in Table 7 and Table 8.
(161) TABLE-US-00017 Values Related to Inflection Point of fourth Embodiment (Primary Reference Wavelength = 555 nm) HIF111 0.32753 HIF111/HOI 0.31861 SGI111 0.06812 |SGI111|/(|SGI111| + TP1) 0.21647 HIF311 0.29908 HIF311/HOI 0.29093 SGI311 −0.12797 |SGI311|/(|SGI311| + TP3) 0.42947 HIF321 0.35265 HIF321/HOI 0.34304 SGI321 −0.14781 |SGI321|/(|SGI321| + TP3) 0.46510 HIF411 0.14588 HIF411/HOI 0.14191 SGI411 0.01742 |SGI411|/(|SGI411| + TP4) 0.09296 HIF412 0.52643 HIF412/HOI 0.51209 SGI412 −0.09525 |SGI412|/(|SGI412| + TP4) 0.35910 HIF421 0.17182 HIF421/HOI 0.16714 SGI421 0.02983 |SGI421|/(|SGI421| + TP4) 0.14926
(162) The values pertaining to the outline curve lengths may be obtained from the data in Table 7 and Table 8:
(163) TABLE-US-00018 Fourth Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.336 0.346 0.00959 102.85% 0.247 140.23% 12 0.336 0.337 0.00053 100.16% 0.247 136.55% 21 0.336 0.351 0.01499 104.46% 0.263 133.43% 22 0.336 0.362 0.02541 107.56% 0.263 137.39% 31 0.336 0.374 0.03811 111.34% 0.170 220.17% 32 0.336 0.368 0.03229 109.60% 0.170 216.74% 41 0.336 0.339 0.00251 100.75% 0.170 199.23% 42 0.336 0.343 0.00662 101.97% 0.170 201.65% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 0.336 0.346 0.010 102.85% 0.247 140.23% 12 0.346 0.346 0.000 100.08% 0.247 140.34% 21 0.350 0.371 0.021 106.05% 0.263 141.06% 22 0.429 0.483 0.054 112.67% 0.263 183.57% 31 0.444 0.491 0.047 110.58% 0.170 289.10% 32 0.468 0.522 0.054 111.44% 0.170 306.79% 41 0.538 0.595 0.057 110.52% 0.170 349.83% 42 0.689 0.760 0.071 110.28% 0.170 447.19%
Fifth Embodiment
(164) Please refer to
(165) The first lens 510 has positive refractive power and is made of plastic material. The first lens 510 has a convex object-side surface 512 and a concave image-side surface 514, wherein both of them are aspheric. The object-side surface 512 and the image-side surface 514 both have one inflection point.
(166) The second lens 520 has positive refractive power and is made of plastic material. The second lens 520 has a concave object-side surface 522 and a convex image-side surface 524, wherein both of them are aspheric. The image-side surface 524 has two inflection points.
(167) The third lens 530 has negative refractive power and is made of plastic material. The third lens 530 has a concave object-side surface 532 and a convex image-side surface 534, wherein both of them are aspheric. The object-side surface 532 has three inflection points and the image-side surface 534 has one inflection point.
(168) The fourth lens 540 has negative refractive power and is made of plastic material. The fourth lens 540 has a convex object-side surface 542 and a concave image-side surface 544, wherein both of them are aspheric. The object-side surface 542 has two inflection points and the image-side surface 544 has one inflection point.
(169) The infrared filter 570 is made of glass material and is configured between the fourth lens 540 and the image plane 580. The infrared filter 570 does not affect the focal length of the optical image capturing system.
(170) Table 9 and Table 10 below should be incorporated into the reference of the present embodiment.
(171) TABLE-US-00019 TABLE 9 Lens Parameters for the Fifth Embodiment f(focal length) = 1.209 mm; f/HEP = 1.8; HAF (half angle of view) = 39.997 deg. Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index No. Length 0 Object 1E+18 1E+18 1 Aperture 1E+18 −0.067 2 Lens 1 0.76460811 0.248 Plastic 1.535 56.27 1.457 3 31.40050163 0.025 4 1E+18 0.109 5 Lens 2 −1.078536244 0.246 Plastic 1.535 56.27 1.154 6 −0.424438702 0.074 7 Lens 3 −0.233114515 0.170 Plastic 1.642 22.46 −2.338 8 −0.354515302 0.025 9 Lens 4 0.498547641 0.170 Plastic 1.642 22.46 −85.460 10 0.427714363 0.193 11 Infrared 1E+18 0.210 BK_7 1.517 64.13 Filter 12 1E+18 0.310 13 Image 1E+18 0.000 Plane Reference wavelength = 555 nm; shield position: the 4.sup.th surface with clear aperture of 0.345 mm and the 8.sup.th surface with clear aperture of 0.468 mm
(172) TABLE-US-00020 TABLE 10 The Aspheric Coefficients of the Fifth Embodiment Table 10: Aspheric Coefficients Surface No. 2 3 5 6 7 8 k= −1.550487E+00 −5.589746E+00 −2.543466E+00 −2.092590E+00 −2.781709E+00 −8.719395E−01 A.sub.4= 1.289244E−01 −7.337918E−01 −1.918082E+00 3.321708E+00 1.066918E+01 1.607406E+01 A.sub.6= 8.995393E+00 6.236999E+00 2.001528E+01 −7.785986E+01 −3.063659E+02 −3.165855E+02 A.sub.8= −3.159649E+02 −2.342460E+02 −7.079516E+02 9.434965E+02 3.817722E+03 3.597163E+03 A.sub.10= 5.518384E+03 3.125346E+03 1.241027E+04 −1.245753E+04 −3.148856E+04 −2.566930E+04 A.sub.12= −5.659070E+04 −2.446544E+04 −1.174042E+05 1.3 50601E+05 1.970077E+05 1.149440E+05 A.sub.14= 3.105895E+05 1.020548E+05 6.145034E+05 −7.259874E+05 −7.749334E+05 −2.911962E+05 A.sub.16= −7.243784E+05 −2.311911E+05 −1.558542E+06 1.407042E+06 1.298253E+06 3.183284E+05 A.sub.18= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 9 10 k= −2.942395E−01 −2.198422E+00 A.sub.4= −1.243419E+00 −4.141496E+00 A.sub.6= −1.208782E+02 1.845980E+00 A.sub.8= 1.363545E+03 7.898369E+01 A.sub.10= −8.277411E+03 −4.608915E+02 A.sub.12= 2.941998E+04 1.232841E+03 A.sub.14= −5.782708E+04 −1.677979E+03 A.sub.16= 4.778228E+04 9.261661E+02 A.sub.18= 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00
(173) In the fifth embodiment, the form of the aspheric surface equation therein is presented as that in the first embodiment. In addition, the definition of parameters in the following tables is equivalent to that in the first embodiment, so that the repetitive details are not stated here.
(174) The following values for the conditional expressions may be obtained from the data in Table 9 and Table 10.
(175) TABLE-US-00021 Fifth Embodiment (Primary reference wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.07977 −0.08279 0.32110 0.40546 2.04421 1.01470 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.82943 1.04759 0.51691 0.01414 1.26302 0.49343 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 1.56450 0.84357 1.85461 −1.18437 −84.00332 −0.97406 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f −0.01735 0.11097 0.06105 0.02069 0.14066 0.14100 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 1.06689 1.78023 1.73174 0.95920 0.59930 0.78170 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.55560 1.14944 1.00956 0.99763 0.15076 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.4681 0.4859 0.3944 0.2278 f1/f2 TP2/TP3 IN12 IN23 IN34 1.263 1.445 0.134 0.074 0.025 InTL234 InTL234/f HEP HEP/IN12 0.685 0.567 0.6714 5.006 PSTA PLTA NSTA NLTA SSTA SLTA −0.001 mm 0.004 mm −0.003 mm −0.009 mm −0.0003 mm 0.005 mm VSFS0 VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 0.008 0.003 −0.005 0.008 0.005 0.018 VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.602 0.545 0.481 0.602 0.422 0.257 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.020 0.015 0.008 0.018 0.018 0.018 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.568 0.531 0.462 0.532 0.458 0.146 FS AIFS AVFS AFS 0.013 0.016 0.006 0.010
(176) The following values for the conditional expressions may be obtained from the data in Table 9 and Table 10.
(177) TABLE-US-00022 Values Related to Inflection Point of fifth Embodiment (Primary Reference Wavelength = 555 nm) HIF111 0.32631 HIF111/HOI 0.31743 SGI111 0.06896 |SGI111|/(|SGI111| + TP1) 0.21759 HIF121 0.06209 HIF121/HOI 0.06039 SGI121 0.00005 |SGI121|/(|SGI121| + TP1) 0.00021 HIF221 0.31161 HIF221/HOI 0.30312 SGI221 −0.09959 |SGI221|/(|SGI221| + TP2) 0.28849 HIF222 0.33310 HIF222/HOI 0.32402 SGI222 −0.11191 |SGI222|/(|SGI222| + TP2) 0.31302 HIF311 0.30074 HIF311/HOI 0.29255 SGI311 −0.12892 |SGI311|/(|SGI311| + TP3) 0.43128 HIF312 0.38025 HIF312/HOI 0.36989 SGI312 −0.18269 |SGI312|/(|SGI312| + TP3) 0.51799 HIF313 0.39801 HIF313/HOI 0.38717 SGI313 −0.19383 |SGI313|/(|SGI313| + TP3) 0.53275 HIF321 0.37321 HIF321/HOI 0.36305 SGI321 −0.15115 |SGI321|/(|SGI321| + TP3) 0.47065 HIF411 0.17764 HIF411/HOI 0.17280 SGI411 0.02847 |SGI411|/(|SGI411| + TP4) 0.14317 HIF412 0.54456 HIF412/HOI 0.52972 SGI412 −0.07061 |SGI412|/(|SGI412| + TP4) 0.29297 HIF421 0.19684 HIF421/HOI 0.19148 SGI421 0.03677 |SGI421|/(|SGI421| + TP4) 0.17747
(178) The values pertaining to the outline curve lengths are obtainable from the data in Table 9 and Table 10:
(179) TABLE-US-00023 Fifth Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.336 0.345 0.00936 102.79% 0.248 139.14% 12 0.336 0.336 0.00006 100.02% 0.248 135.39% 21 0.336 0.347 0.01136 103.38% 0.246 141.28% 22 0.336 0.358 0.02246 106.69% 0.246 145.80% 31 0.336 0.374 0.03844 111.45% 0.170 220.06% 32 0.336 0.362 0.02653 107.90% 0.170 213.05% 41 0.336 0.340 0.00474 101.41% 0.170 199.76% 42 0.336 0.343 0.00760 102.26% 0.170 201.44% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 0.336 0.345 0.009 102.79% 0.248 139.14% 12 0.346 0.346 0.000 100.14% 0.248 139.57% 21 0.350 0.366 0.016 104.55% 0.246 149.03% 22 0.417 0.460 0.044 110.45% 0.246 187.37% 31 0.422 0.476 0.054 112.87% 0.170 279.90% 32 0.468 0.522 0.054 111.63% 0.170 307.32% 41 0.551 0.604 0.053 109.58% 0.170 354.18% 42 0.686 0.751 0.065 109.53% 0.170 440.75%
Sixth Embodiment
(180) Please refer to
(181) The first lens 610 has positive refractive power and is made of plastic material. The first lens 610 has a convex object-side surface 612 and a concave image-side surface 614, wherein both of them are aspheric. The image-side surface 612 has one inflection point.
(182) The second lens 620 has positive refractive power and is made of plastic material. The second lens 620 has a concave object-side surface 622 and a convex image-side surface 624, wherein both of them are aspheric. The object-side surface 622 has one inflection point.
(183) The third lens 630 has negative refractive power and is made of plastic material. The third lens 630 has a concave object-side surface 632 and a convex image-side surface 634, wherein both of them are aspheric. The object-side surface 632 has two inflection points and the image-side surface 634 has one inflection point.
(184) The fourth lens 640 has negative refractive power and is made of plastic material. The fourth lens 640 has a convex object-side surface 642 and a concave image-side surface 644, wherein both of them are aspheric. The object-side surface 642 has two inflection points and the image-side surface 644 has one inflection point.
(185) The infrared filter 670 is made of glass material and is configured between the fourth lens 640 and the image plane 680. The infrared filter 670 does not affect the focal length of the optical image capturing system.
(186) Table 11 and Table 12 below should be incorporated into the reference of the present embodiment.
(187) TABLE-US-00024 TABLE 11 Lens Parameters for the Sixth Embodiment f(focal length) = 1.313 mm; f/HEP = 2.022; HAF (half angle of view) = 37.450 deg. Surface Thickness Refractive Abbe Focal No. Curvature Radius (mm) Material Index No. Length 0 Object 1E+18 1E+18 1 Aperture 1E+18 −0.067 2 Lens 1 0.765802158 0.248 Plastic 1.535 56.27 1.429 3 22.27734496 0.025 4 1E+18 0.116 5 Lens 2 −1.163048553 0.267 Plastic 1.535 56.27 1.248 6 −0.375351466 0.061 7 Lens 3 −0.214900519 0.170 Plastic 1.642 22.46 −249.580 8 −0.342003703 0.025 9 Lens 4 0.465361364 0.170 Plastic 1.642 22.46 −1.562 10 0.375404859 0.178 11 Infrared 1E+18 0.210 BK_7 1.517 64.13 Filter 12 1E+18 0.310 13 1E+18 0.000 14 Image 1E+18 0.000 Plane Reference wavelength = 555 nm; shield position: the 4.sup.th surface with clear aperture of 0.345 mm and the 8.sup.th surface with clear aperture of 0.468 mm
(188) TABLE-US-00025 TABLE 12 The Aspheric Coefficients of the Sixth Embodiment Table 12: Aspheric Coefficients Surface No. 2 3 5 6 7 8 k= −5.607668E+00 −9.188891E−11 −6.955560E+00 −2.192777E+00 −2.736321E+00 −9.669974E−01 A.sub.4= 1.300009E+00 −8.952387E−01 −2.495812E+00 4.343440E+00 1.343179E+01 1.742073E+01 A.sub.6= 2.088324E+00 1.589290E+01 2.123902E+01 −4.159517E+01 −2.900519E+02 −2.983874E+02 A.sub.8= −2.332779E+02 −5.116229E+02 −8.500585E+02 −1.154837E+03 1.855323E+03 2.811013E+03 A.sub.10= 4.480996E+03 7.503420E+03 1.485143E+04 2.288455E+04 3.608247E+03 −1.617881E+04 A.sub.12= −4.793708E+04 −6.408258E+04 −1.450339E+05 −1.612380E+05 −9.536701E+04 5.851307E+04 A.sub.14= 2.713905E+05 2.889475E+05 7.739772E+05 5.202059E+05 4.212395E+05 −1.226781E+05 A.sub.16= −6.544679E+05 −5.880448E+05 −1.887577E+06 −6.604047E+05 −6.274874E+05 1.155443E+05 A.sub.18= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface No. 9 10 k= −1.170886E+00 −4.120300E+00 A.sub.4= −2.108225E+00 −2.038239E+00 A.sub.6= −8.712372E+01 −1.059966E+01 A.sub.8= 9.356325E+02 1.128080E+02 A.sub.10= −5.209531E+03 −4.564976E+02 A.sub.12= 1.748140E+04 9.726620E+02 A.sub.14= −3.367492E+04 −1.093386E+03 A.sub.16= 2.768090E+04 5.013550E+02 A.sub.18= 0.000000E+00 0.000000E+00 A.sub.20= 0.000000E+00 0.000000E+00
(189) In the sixth embodiment, the form of the aspheric surface equation therein is presented as that in the first embodiment. Besides, the definition of parameters in the following tables is equivalent to that in the first embodiment, so that the repetitive details are not stated here.
(190) The following values for the conditional expressions may be obtained from the data in Table 11 and Table 12.
(191) TABLE-US-00026 Sixth Embodiment (Primary reference wavelength = 555 nm) InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.12235 −0.02946 0.22744 0.41779 1.99226 0.52327 |f/f1| |f/f2| |f/f3| |f/f4| |f1/f2| |f2/f3| 0.91884 1.05252 0.00526 0.84073 1.14549 0.00500 ΣPPR ΣNPR ΣPPR/|ΣNPR| ΣPP ΣNP f1/ΣPP 1.89325 0.92410 2.04874 −0.31436 −248.15060 4.96949 f4/ΣNP IN12/f IN23/f IN34/f TP3/f TP4/f −0.00576 0.09957 0.05847 0.02044 0.14020 0.14761 InTL HOS HOS/HOI InS/HOS InTL/HOS ΣTP/InTL 1.13741 1.78020 1.73171 0.96236 0.63892 0.79390 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.54969 1.19868 1.04122 0.94978 0.14821 |InRS41|/TP4 |InRS42|/TP4 HVT42/HOI HVT42/HOS 0.6311 0.1520 0.4064 0.2347 f1/f2 TP2/TP3 IN12 IN23 IN34 1.145 1.397 0.131 0.077 0.027 InTL234 InTL234/f HEP HEP/IN12 0.739 0.563 0.6495 4.967 PSTA PLTA NSTA NLTA SSTA SLTA −0.005 mm −0.002 mm 0.017 mm 0.008 mm 0.002 mm 0.005 mm VSFS0 VSFS3 VSFS7 VTFS0 VTFS3 VTFS7 −0.000 −0.000 −0.000 −0.000 −0.000 −0.003 VSMTF0 VSMTF3 VSMTF7 VTMTF0 VTMTF3 VTMTF7 0.599 0.544 0.539 0.599 0.469 0.408 ISFS0 ISFS3 ISFS7 ITFS0 ITFS3 ITFS7 0.015 0.013 0.013 0.015 0.010 0.015 ISMTF0 ISMTF3 ISMTF7 ITMTF0 ITMTF3 ITMTF7 0.522 0.483 0.446 0.522 0.425 0.319 FS AIFS AVFS AFS 0.015 0.013 −0.000 0.014
(192) The following values for the conditional expressions may be obtained from the data in Table 11 and Table 12.
(193) TABLE-US-00027 Values Related to Inflection Point of sixth Embodiment (Primary Reference Wavelength = 555 nm) HIF121 0.16300 HIF121/HOI 0.15856 SGI121 0.00166 |SGI121|/(|SGI121| + TP1) 0.00896 HIF122 0.30238 HIF122/HOI 0.29414 SGI122 0.00267 |SGI122|/(|SGI122| + TP1) 0.01433 HIF211 0.32088 HIF211/HOI 0.31214 SGI211 −0.05253 |SGI211|/(|SGI211| + TP2) 0.28218 HIF311 0.29696 HIF311/HOI 0.28887 SGI311 −0.11570 |SGI311|/(|SGI311| + TP3) 0.29374 HIF312 0.35762 HIF312/HOI 0.34788 SGI312 −0.15281 |SGI312|/(|SGI312| + TP3) 0.35455 HIF321 0.34092 HIF321/HOI 0.33164 SGI321 −0.13250 |SGI321|/(|SGI321| + TP3) 0.32263 HIF411 0.11986 HIF411/HOI 0.11659 SGI411 0.00776 |SGI411|/(|SGI411| + TP4) 0.05035 HIF412 0.49894 HIF412/HOI 0.48535 SGI412 −0.11263 |SGI412|/(|SGI412| + TP4) 0.43479 HIF421 0.17996 HIF421/HOI 0.17506 SGI421 0.03126 |SGI421|/(|SGI421| + TP4) 0.17595
(194) The values pertaining to the outline curve lengths are obtainable from the data in Table 11 and Table 12:
(195) TABLE-US-00028 Sixth Embodiment (Primary Reference Wavelength = 555 nm) ARE ½(HEP) ARE value ARE − ½(HEP) 2(ARE/HEP) % TP ARE/TP (%) 11 0.326 0.337 0.01146 103.52% 0.268 125.85% 12 0.326 0.325 −0.00053 99.84% 0.268 121.37% 21 0.326 0.332 0.00615 101.89% 0.257 128.97% 22 0.326 0.348 0.02197 106.75% 0.257 135.12% 31 0.326 0.356 0.03046 109.36% 0.184 193.35% 32 0.326 0.352 0.02675 108.22% 0.184 191.33% 41 0.326 0.327 0.00097 100.30% 0.194 168.42% 42 0.326 0.332 0.00629 101.93% 0.194 171.17% ARS EHD ARS value ARS − EHD (ARS/EHD) % TP ARS/TP (%) 11 0.326 0.337 0.011 103.48% 0.268 125.85% 12 0.343 0.342 −0.001 99.83% 0.268 127.72% 21 0.364 0.373 0.009 102.36% 0.257 144.90% 22 0.408 0.449 0.041 110.11% 0.257 174.51% 31 0.409 0.455 0.046 111.27% 0.184 246.96% 32 0.468 0.515 0.047 110.13% 0.184 279.91% 41 0.523 0.575 0.051 109.82% 0.194 296.53% 42 0.724 0.766 0.042 105.85% 0.194 395.30%
(196) Although the present disclosure is disclosed via the aforementioned embodiments, those embodiments do not serve to limit the scope of the present disclosure. A person skilled in the art may perform various alterations and modifications to the present disclosure without departing from the spirit and the scope of the present disclosure. Hence, the scope of the present disclosure should be defined by the following appended claims.
(197) Despite the fact that the present disclosure is specifically presented and illustrated with reference to the exemplary embodiments thereof, it should be obvious to a person skilled in the art that, various modifications to the forms and details of the present disclosure may be performed without departing from the scope and spirit of the present disclosure defined by the following claims and equivalents thereof.
(198) Those skilled in the art will readily observe that numerous modifications and alterations of the device and method may be made while retaining the teachings of the invention. Accordingly, the above disclosure should be construed as limited only by the metes and bounds of the appended claims.