CN109358406B - Optical system - Google Patents

Optical system Download PDF

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Publication number
CN109358406B
CN109358406B CN201811345624.1A CN201811345624A CN109358406B CN 109358406 B CN109358406 B CN 109358406B CN 201811345624 A CN201811345624 A CN 201811345624A CN 109358406 B CN109358406 B CN 109358406B
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China
Prior art keywords
lens
optical
image
source
optical axis
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CN201811345624.1A
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CN109358406A (en
Inventor
黄林
娄琪琪
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Zhejiang Sunny Optical Technology Co Ltd
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Zhejiang Sunny Optical Technology Co Ltd
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Priority to CN201811345624.1A priority Critical patent/CN109358406B/en
Priority to CN201810297721.1A priority patent/CN108388006A/en
Publication of CN109358406A publication Critical patent/CN109358406A/en
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS, OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/001Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras
    • G02B13/0015Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design
    • G02B13/002Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface
    • G02B13/0045Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface having five or more lenses
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS, OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/06Panoramic objectives; So-called "sky lenses" including panoramic objectives having reflecting surfaces
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS, OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/16Optical objectives specially designed for the purposes specified below for use in conjunction with image converters or intensifiers, or for use with projectors, e.g. objectives for projection TV
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS, OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/18Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration

Abstract

The application discloses optical system, this optical system includes in proper order along the optical axis from the imaging side to image source side: the lens includes a first lens, a second lens, a third lens, a fourth lens and a fifth lens. The first lens has positive focal power, and the side surface of the first lens close to the image source is a concave surface; the second lens has positive focal power, and the side surface close to the image source of the second lens is a convex surface; the third lens has negative focal power, and the side surface close to the image source is a convex surface; the fourth lens has focal power, and the near imaging side surface of the fourth lens is a concave surface; the fifth lens has optical power. The distance Tr5r8 between the near imaging side surface of the third lens and the near image source side surface of the fourth lens on the optical axis and the central thickness CT5 of the fifth lens on the optical axis satisfy 1.2 < Tr5r8/CT5 < 2.3.

Description

Optical system
Divisional application statement
The application is a divisional application of a Chinese invention patent application with the invention name of 'optical system' and the application number of 201810297721.1, which is filed in 2018, 03, 30 and month.
Technical Field
The present application relates to an optical system, and more particularly, to an optical system including five lenses.
Background
In recent years, with the rapid development of depth recognition technology, three-dimensional position and size information of a target object can be obtained by using a three-dimensional depth camera, which is of great significance in application of Augmented Reality (AR) technology.
The coded structured light technology is one of important branches of the depth recognition technology, and the technical principle is as follows: projecting the specially encoded image onto a target object by using a projection lens module; receiving the reflected image information by using an imaging receiving module; and processing by a back-end algorithm to obtain the depth information of the target object. The projection lens is used as a core element of the coded structured light depth recognition technology, and directly influences the recognition range and accuracy of depth recognition.
In contrast, conventional projection lenses generally employ an increased number of lenses to eliminate various aberrations and improve resolution. However, increasing the number of lenses increases the total optical length of the projection lens, which is disadvantageous for miniaturization of the lens. In addition, the general large-field-angle projection lens has many problems such as large distortion, poor imaging quality and the like, and cannot meet the requirements of the coded structured light depth recognition technology on the projection lens.
Disclosure of Invention
The present application provides an optical system, such as a projection lens, that may be applicable to portable electronic products that may address, at least in part, at least one of the above-identified deficiencies in the prior art.
In one aspect, the present application provides an optical system comprising, in order from an image side to an image source side along an optical axis: the lens includes a first lens, a second lens, a third lens, a fourth lens and a fifth lens. The first lens can have positive focal power, and the side surface close to the image source can be a concave surface; the second lens can have positive focal power, and the side surface close to the image source can be a convex surface; the third lens can have negative focal power, and the side surface close to the image source can be a convex surface; the fourth lens has focal power, and the near imaging side surface of the fourth lens can be a concave surface; the fifth lens has optical power. The distance Tr5r8 between the near imaging side surface of the third lens and the near image source side surface of the fourth lens on the optical axis and the central thickness CT5 of the fifth lens on the optical axis can satisfy 1.2 < Tr5r8/CT5 < 2.3.
In one embodiment, the near imaging side of the first lens may be convex.
In one embodiment, the near imaging side of the third lens may be concave.
In one embodiment, the near-image-source side of the fourth lens may be convex.
In one embodiment, the effective focal length f2 of the second lens and the total effective focal length f of the optical system may satisfy 0 < f2/f < 1.
In one embodiment, a separation distance T23 between the second lens and the third lens on the optical axis and a separation distance T34 between the third lens and the fourth lens on the optical axis may satisfy 0.2 < T23/T34 < 0.7.
In one embodiment, the radius of curvature R4 of the near image source side surface of the second lens and the radius of curvature R5 of the near image side surface of the third lens may satisfy | R4-R5|/| R4+ R5| < 0.5.
In one embodiment, the radius of curvature R8 of the near image source side of the fourth lens and the total effective focal length f of the optical system can satisfy-1 < R8/f < 0.
In one embodiment, the distance from the intersection point of the near-image-side surface of the fourth lens and the optical axis to the maximum effective semi-aperture vertex of the near-image-side surface of the fourth lens on the optical axis to the intersection point of the SAG41 and the near-image-source-side surface of the fourth lens and the optical axis to the maximum effective semi-aperture vertex of the near-image-source-side surface of the fourth lens on the optical axis to SAG42 may satisfy 0.45 < SAG41/SAG42 < 1.
In one embodiment, the distance from the intersection point of the near-image-side surface of the fifth lens and the optical axis to the maximum effective semi-aperture vertex of the near-image-side surface of the fifth lens on the optical axis to the intersection point of the SAG51 and the near-image-source-side surface of the fifth lens and the optical axis to the maximum effective semi-aperture vertex of the near-image-source-side surface of the fifth lens on the optical axis to SAG52 may satisfy 0 < SAG51/SAG52 < 0.6.
In one embodiment, the distance SAG52 from the maximum effective semi-aperture vertex of the fifth lens near source side to the intersection point of the fifth lens near source side and the optical axis to the central thickness CT5 of the fifth lens on the optical axis can satisfy-1.5 < SAG52/CT5 < -0.8.
In one embodiment, the edge thickness ET5 of the fifth lens and the central thickness CT5 of the fifth lens on the optical axis satisfy 0 < ET5/CT5 < 0.5.
In one embodiment, the maximum incidence angle CRA of the chief ray of the optical system, the separation distance TTL between the near imaging side surface of the first lens and the image source surface of the optical system on the optical axis, and half IH of the diagonal length of the image source diameter satisfy 2 < (1+ TAN (CRA)) × TTL/IH < 2.5.
In one embodiment, the object-side numerical aperture NA of the optical system may satisfy NA < 0.19.
In one embodiment, the optical system may have a light transmittance of greater than 85% in the 800nm to 1000nm wavelength band.
In one embodiment, DT12 < DT22 < DT32 < DT42 < DT52 is satisfied by an effective half aperture DT12 of the near-image source side surface of the first lens, DT22 of the near-image source side surface of the second lens, DT32 of the near-image source side surface of the third lens, DT42 of the near-image source side surface of the fourth lens, and DT52 of the near-image source side surface of the fifth lens.
This application has adopted the multi-disc (for example, five) lens, through rationally chooseing for use lens material and rationally distribute each lens focal power, face type, each lens's central thickness and each lens between the epaxial interval etc. for above-mentioned optical system has big visual field, miniaturized, can satisfy at least one beneficial effect such as depth identification projection demand.
Drawings
Other features, objects, and advantages of the present application will become more apparent from the following detailed description of non-limiting embodiments when taken in conjunction with the accompanying drawings. In the drawings:
fig. 1 shows a schematic configuration diagram of an optical system according to embodiment 1 of the present application;
fig. 2A to 2C show an astigmatism curve, a distortion curve, and a relative illuminance curve, respectively, of the optical system of example 1;
fig. 3 shows a schematic configuration diagram of an optical system according to embodiment 2 of the present application;
fig. 4A to 4C show an astigmatism curve, a distortion curve, and a relative illuminance curve, respectively, of the optical system of example 2;
fig. 5 shows a schematic configuration diagram of an optical system according to embodiment 3 of the present application;
fig. 6A to 6C show an astigmatism curve, a distortion curve, and a relative illuminance curve, respectively, of the optical system of example 3;
fig. 7 shows a schematic configuration diagram of an optical system according to embodiment 4 of the present application;
fig. 8A to 8C show an astigmatism curve, a distortion curve, and a relative illuminance curve, respectively, of the optical system of example 4;
fig. 9 shows a schematic configuration diagram of an optical system according to embodiment 5 of the present application;
fig. 10A to 10C show an astigmatism curve, a distortion curve, and a relative illuminance curve, respectively, of the optical system of example 5;
fig. 11 shows a schematic configuration diagram of an optical system according to embodiment 6 of the present application;
fig. 12A to 12C show an astigmatism curve, a distortion curve, and a relative illuminance curve, respectively, of the optical system of example 6;
fig. 13 is a schematic structural view showing an optical system according to embodiment 7 of the present application;
fig. 14A to 14C show an astigmatism curve, a distortion curve, and a relative illuminance curve, respectively, of the optical system of example 7.
Detailed Description
For a better understanding of the present application, various aspects of the present application will be described in more detail with reference to the accompanying drawings. It should be understood that the detailed description is merely illustrative of exemplary embodiments of the present application and does not limit the scope of the present application in any way. Like reference numerals refer to like elements throughout the specification. The expression "and/or" includes any and all combinations of one or more of the associated listed items.
It should be noted that the expressions first, second, etc. in this specification are used only to distinguish one feature from another feature, and do not indicate any limitation on the features. Thus, the first lens discussed below may also be referred to as the second lens, and the second lens may also be referred to as the first lens, without departing from the teachings of the present application.
In the drawings, the thickness, size, and shape of the lens have been slightly exaggerated for convenience of explanation. In particular, the shapes of the spherical or aspherical surfaces shown in the drawings are shown by way of example. That is, the shape of the spherical surface or the aspherical surface is not limited to the shape of the spherical surface or the aspherical surface shown in the drawings. The figures are purely diagrammatic and not drawn to scale.
Herein, the paraxial region refers to a region near the optical axis. If the lens surface is convex and the convex position is not defined, it means that the lens surface is convex at least in the paraxial region; if the lens surface is concave and the concave position is not defined, it means that the lens surface is concave at least in the paraxial region. The surface of each lens near the image source side is referred to as the near image source side of that lens, and the surface of each lens near the image forming side is referred to as the near image forming side of that lens.
It will be further understood that the terms "comprises," "comprising," "has," "having," "includes" and/or "including," when used in this specification, specify the presence of stated features, elements, and/or components, but do not preclude the presence or addition of one or more other features, elements, components, and/or groups thereof. Moreover, when a statement such as "at least one of" appears after a list of listed features, the entirety of the listed features is modified rather than modifying individual elements in the list. Furthermore, when describing embodiments of the present application, the use of "may" mean "one or more embodiments of the present application. Also, the term "exemplary" is intended to refer to an example or illustration.
Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict. The present application will be described in detail below with reference to the embodiments with reference to the attached drawings.
The features, principles, and other aspects of the present application are described in detail below.
An optical system according to an exemplary embodiment of the present application may include, for example, five lenses having optical powers, i.e., a first lens, a second lens, a third lens, a fourth lens, and a fifth lens. The five lenses are arranged in order from the image side to the image source side along the optical axis.
In an exemplary embodiment, the first lens may have a positive optical power, the near-image-source side of which is concave; the second lens can have positive focal power, and the side surface close to the image source can be a convex surface; the third lens can have negative focal power, and the side surface close to the image source can be a convex surface; the fourth lens has positive focal power or negative focal power, and the near imaging side surface of the fourth lens can be a concave surface; the fifth lens has positive power or negative power.
In an exemplary embodiment, the near-imaging side surface of the first lens may be convex.
In an exemplary embodiment, the near-image side surface of the third lens may be concave.
In an exemplary embodiment, the near-image-source side of the fourth lens may be convex.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression 0 < f2/f < 1, where f2 is an effective focal length of the second lens and f is a total effective focal length of the optical system. More specifically, f2 and f can further satisfy 0.5 < f2/f < 1, e.g., 0.63 ≦ f2/f ≦ 0.90. The reasonable configuration of focal power and surface type is beneficial to ensuring the compact structure of the optical system, effectively astigmatism of the system, image quality balance in the meridian and sagittal directions and improvement of the imaging quality.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression 2 < (1+ TAN (CRA)) × TTL/IH < 2.5, where CRA is a principal ray maximum incident angle of the optical system, TTL is an on-axis distance from a near-imaging side surface of the first lens to an image source surface of the optical system, and IH is half a length of a diagonal line of an image source diameter. More specifically, the CRA, TTL, and IH can further satisfy 2.1 < (1+ TAN (CRA)). times.TTL/IH < 2.3, for example, 2.12 ≦ (1+ TAN (CRA)). times.TTL/IH ≦ 2.28. The condition 2 < (1+ TAN (CRA)) xTTL/IH < 2.5 is satisfied, so that a larger field angle and a shorter TTL can be obtained, and the requirements of a large depth recognition range and the miniaturization of a projection module are satisfied.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression NA < 0.19, where NA is an object-side numerical aperture of the optical system. More specifically, NA can further satisfy 0.16 ≦ NA ≦ 0.18. Satisfying the conditional expression NA < 0.19, being beneficial to obtaining better imaging quality under the condition of satisfying the visual field and the relative illumination.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression 1.2 < Tr5r8/CT5 < 2.3, where Tr5r8 is an on-axis distance from a near-image-side surface of the third lens to a near-image-source-side surface of the fourth lens, and CT5 is a center thickness of the fifth lens on an optical axis. More specifically, Tr5r8 and CT5 further satisfy 1.24. ltoreq. Tr5r8/CT 5. ltoreq.2.21. The condition that Tr5r8/CT5 is more than 1.2 and less than 2.3 is met, the thickness sensitivity of the lens is favorably reduced, and the requirement of the processability of the lens is met.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression 0.2 < T23/T34 < 0.7, where T23 is a separation distance of the second lens and the third lens on the optical axis, and T34 is a separation distance of the third lens and the fourth lens on the optical axis. More specifically, T23 and T34 may further satisfy 0.23 ≦ T23/T34 ≦ 0.60. The conditional expression of 0.2 < T23/T34 < 0.7 is satisfied, the thickness sensitivity of the lens is favorably reduced, and the requirements of miniaturization and machinability of the lens are satisfied.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression | R4-R5|/| R4+ R5| < 0.5, where R4 is a radius of curvature of the near-image source side surface of the second lens and R5 is a radius of curvature of the near-image side surface of the third lens. More specifically, R4 and R5 can further satisfy 0.01 ≦ R4-R5|/| R4+ R5| ≦ 0.48. The coma aberration can be effectively corrected, the decentration sensitivity of the lens is reduced, and the imaging quality is improved when the conditional expression | R4-R5|/| R4+ R5| < 0.5 is met.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression-1 < R8/f < 0, where R8 is a radius of curvature of the near-image source side of the fourth lens, and f is an overall effective focal length of the optical system. More specifically, R8 and f further satisfy-0.8 < R8/f < -0.3, for example, -0.70. ltoreq. R8/f.ltoreq-0.37. The conditional expression of-1 < R8/f < 0 is satisfied, so that the principal ray angle CRA of the optical system can be ensured, and the field curvature of the system can be corrected.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression 0.45 < SAG41/SAG42 < 1, where SAG41 is an on-axis distance from an intersection of a near-image-side surface of the fourth lens and the optical axis to a maximum effective half-aperture vertex of the near-image-side surface of the fourth lens, and SAG42 is an on-axis distance from an intersection of a near-image-source-side surface of the fourth lens and the optical axis to a maximum effective half-aperture vertex of the near-image-source-side surface of the fourth lens. More specifically, SAG41 and SAG42 further can satisfy 0.46 ≦ SAG41/SAG42 ≦ 0.79. The conditional expression of 0.45 & lt SAG41/SAG42 & lt 1 is satisfied, the spherical aberration of the system can be effectively eliminated, and a high-definition image is obtained.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression 0 < ET5/CT5 < 0.5, where ET5 is an edge thickness of the fifth lens and CT5 is a center thickness of the fifth lens on the optical axis. More specifically, ET5 and CT5 further satisfy 0.3 < ET5/CT5 < 0.5, e.g., 0.35 ≦ ET5/CT5 ≦ 0.42. The condition that ET5/CT5 is less than 0.5 is satisfied, the matching of the main ray angle CRA of the system can be ensured, and the field curvature can be effectively eliminated.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression 0 < SAG51/SAG52 < 0.6, where SAG51 is an on-axis distance from an intersection of a near-image-formation-side surface of the fifth lens and the optical axis to a maximum effective half-aperture vertex of the near-image-formation-side surface of the fifth lens, and SAG52 is an on-axis distance from an intersection of a near-image-source-side surface of the fifth lens and the optical axis to a maximum effective half-aperture vertex of the near-image-source-side surface of the fifth lens. More specifically, SAG51 and SAG52 may further satisfy 0.2 < SAG51/SAG52 < 0.6, for example, 0.24 ≦ SAG51/SAG52 ≦ 0.58. The conditional expression of 0 & lt SAG51/SAG52 & lt 0.6 is satisfied, the spherical aberration of the system can be effectively eliminated, and a high-definition image is obtained.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression-1.5 < SAG52/CT5 < -0.8, where SAG52 is an on-axis distance from an intersection of a near-image source side surface of the fifth lens and the optical axis to a maximum effective half-aperture vertex of the near-image source side surface of the fifth lens, and CT5 is a central thickness of the fifth lens on the optical axis. More specifically, SAG52 and CT5 further satisfied-1.36. ltoreq. SAG52/CT 5. ltoreq. 0.82. Satisfying the conditional expression-1.5 < SAG52/CT5 < -0.8, the matching of the main ray angle CRA of the system can be ensured, and the spherical aberration can be effectively eliminated.
In an exemplary embodiment, the optical system of the present application has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The arrangement is favorable for obtaining a high-brightness projection picture and reducing the diaphragm requirement on the receiving lens.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression DT12 < DT22 < DT32 < DT42 < DT52, where DT12 is an effective half aperture of a near-image source side surface of the first lens, DT22 is an effective half aperture of a near-image source side surface of the second lens, DT32 is an effective half aperture of a near-image source side surface of the third lens, DT42 is an effective half aperture of a near-image source side surface of the fourth lens, and DT52 is an effective half aperture of a near-image source side surface of the fifth lens. The conditional expression DT12 < DT22 < DT32 < DT42 < DT52 is satisfied, the structural feasibility can be better ensured, and the influence of assembly tolerance is reduced.
In an exemplary embodiment, the optical system may further include at least one diaphragm to improve the imaging quality of the system. Alternatively, a stop may be disposed between the imaging side and the first lens.
Optionally, the optical system may also include other well-known optical projection elements, such as prisms, field lenses, and the like.
The optical system according to the above embodiment of the present application may adopt, for example, five lenses, and by reasonably selecting the materials of the lenses and reasonably distributing the focal power, the surface type, the central thickness of each lens, the on-axis distance between each lens, and the like, the optical system has the advantages of large field of view, miniaturization, capability of well meeting the requirements of depth recognition projection, and the like.
In the embodiments of the present application, an aspherical mirror surface is often used for each lens. The aspheric lens is characterized in that: the curvature varies continuously from the center of the lens to the periphery of the lens. Unlike a spherical lens having a constant curvature from the center of the lens to the periphery of the lens, an aspherical lens has better curvature radius characteristics, and has advantages of improving distortion aberration and improving astigmatic aberration. After the aspheric lens is adopted, the aberration generated during imaging can be eliminated as much as possible, thereby improving the imaging quality.
However, it will be understood by those skilled in the art that the number of lenses constituting the optical system may be varied to obtain the respective results and advantages described in the present specification without departing from the technical solutions claimed in the present application. For example, although five lenses are exemplified in the embodiment, the optical system is not limited to including five lenses. The optical system may also include other numbers of lenses, if desired.
Specific examples of optical systems that can be applied to the above-described embodiments are further described below with reference to the drawings.
Example 1
An optical system according to embodiment 1 of the present application is described below with reference to fig. 1 to 2C. Fig. 1 shows a schematic structural diagram of an optical system according to embodiment 1 of the present application.
As shown in fig. 1, an optical system according to an exemplary embodiment of the present application includes, in order from an image side to an image source side along an optical axis: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive power, and its near image side S1 is convex and its near image source side S2 is concave; the second lens E2 has positive power, and has a concave near-image side S3 and a convex near-image source side S4; the third lens E3 has negative power, and has a concave near-image side S5 and a convex near-image source side S6; the fourth lens element E4 has positive power, and has a concave near-image side surface S7 and a convex near-image source side surface S8; the fifth lens element E5 has negative power, and its near image side S9 is convex and its near image source side S10 is concave. The optical system has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The light from the image source surface S11 passes through the respective surfaces S10 to S1 in order and is finally projected onto a target object in space (not shown).
Table 1 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical system of example 1, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
TABLE 1
As can be seen from table 1, the near-image-side surface and the near-image-source-side surface of any one of the first lens E1 through the fifth lens E5 are aspheric. In the present embodiment, the profile x of each aspheric lens can be defined using, but not limited to, the following aspheric formula:
wherein x is the rise of the distance from the aspheric surface vertex to the aspheric surface vertex when the aspheric surface is at the position with the height of h along the optical axis direction; c is the paraxial curvature of the aspheric surface, c being 1/R (i.e., paraxial curvature c is the inverse of radius of curvature R in table 1 above); k is the conic coefficient (given in table 1); ai is the correction coefficient of the i-th order of the aspherical surface. Table 2 below shows the high-order coefficient A of each of the aspherical mirror surfaces S1 to S10 used in example 14、A6、A8、A10、A12、A14And A16
Flour mark A4 A6 A8 A10 A12 A14 A16
S1 1.0197E-01 -4.5422E-01 2.5461E+01 -2.9024E+02 1.4751E+03 -3.4301E+03 2.9854E+03
S2 5.5465E-01 2.1911E-01 5.4055E+00 -4.4218E+01 3.5345E+02 -1.3419E+03 2.4547E+03
S3 -7.0381E-01 3.3415E+00 -5.6566E+01 8.1592E+01 1.3153E+03 -6.2806E+03 8.7888E+03
S4 -9.1505E-01 5.7198E+01 -6.2349E+02 3.3874E+03 -1.0636E+04 1.8346E+04 -1.3033E+04
S5 -2.5013E+00 1.1302E+02 -1.0869E+03 5.5842E+03 -1.7402E+04 3.0429E+04 -2.2325E+04
S6 -4.1469E+00 4.3171E+01 -1.8223E+02 3.8984E+02 -4.3848E+02 2.4570E+02 -5.3427E+01
S7 -5.2475E+00 1.9337E+01 -2.8812E+01 2.1691E+01 -7.7923E+00 7.7722E-01 1.3442E-01
S8 -2.2668E+00 8.0036E+00 -2.0805E+01 3.5687E+01 -3.2986E+01 1.5034E+01 -2.6577E+00
S9 -8.4623E-01 1.5993E+00 -1.9278E+00 1.4440E+00 -6.3131E-01 1.4896E-01 -1.4782E-02
S10 -6.6916E-01 1.1481E+00 -1.6415E+00 1.4726E+00 -7.7444E-01 2.1681E-01 -2.4633E-02
TABLE 2
Table 3 shows the total effective focal length f of the optical system, the effective focal lengths f1 to f5 of the respective lenses, and the object-side numerical aperture NA of the optical system in example 1.
Parameter(s) f(mm) f1(mm) f2(mm) f3(mm) f4(mm) f5(mm) NA
Numerical value 1.76 3.12 1.10 -2.84 11.36 -4.44 0.18
TABLE 3
The optical system in embodiment 1 satisfies:
f2/f is 0.63, wherein f2 is the effective focal length of the second lens E2, and f is the total effective focal length of the optical system;
(1+ TAN (CRA)) × TTL/IH of 2.12, where CRA is the maximum angle of incidence of the principal ray, TTL is the on-axis distance from the near imaging side surface S1 of the first lens E1 to the image source surface S11 of the optical system, and IH is half the length of the diagonal of the image source diameter;
tr5r8/CT5 is 1.77, where Tr5r8 is the on-axis distance from the near-image side S5 of the third lens E3 to the near-image source side S8 of the fourth lens E4, and CT5 is the center thickness of the fifth lens E5 on the optical axis;
T23/T34 is 0.40, where T23 is the distance between the second lens E2 and the third lens E3 on the optical axis, and T34 is the distance between the third lens E3 and the fourth lens E4 on the optical axis;
l R4-R5 l/l R4+ R5 l is 0.04, where R4 is the radius of curvature of the near-image-source side S4 of the second lens E2, and R5 is the radius of curvature of the near-image-side S5 of the third lens E3;
r8/f is-0.45, where R8 is the radius of curvature of the near-image source side S8 of the fourth lens E4, and f is the total effective focal length of the optical system;
SAG41/SAG42 is 0.62, wherein SAG41 is the on-axis distance from the intersection point of the near imaging side surface S7 of the fourth lens E4 and the optical axis to the maximum effective half-aperture vertex of the near imaging side surface S7 of the fourth lens E4, and SAG42 is the on-axis distance from the intersection point of the near image source side surface S8 of the fourth lens E4 and the optical axis to the maximum effective half-aperture vertex of the near image source side surface S8 of the fourth lens E4;
ET5/CT5 is 0.35, where ET5 is the edge thickness of the fifth lens E5, and CT5 is the central thickness of the fifth lens E5 on the optical axis;
SAG51/SAG52 is 0.37, wherein SAG51 is an on-axis distance from an intersection point of a near image side surface S9 of the fifth lens E5 and the optical axis to a maximum effective half-caliber vertex of the near image side surface S9 of the fifth lens E5, and SAG52 is an on-axis distance from an intersection point of a near image source side surface S10 of the fifth lens E5 and the optical axis to a maximum effective half-caliber vertex of the near image source side surface S10 of the fifth lens E5;
SAG52/CT5 is-1.02, wherein SAG52 is the on-axis distance from the intersection point of the near image source side surface S10 of the fifth lens E5 and the optical axis to the maximum effective half-caliber vertex of the near image source side surface S10 of the fifth lens E5, and CT5 is the central thickness of the fifth lens E5 on the optical axis;
DT12 < DT22 < DT32 < DT42 < DT52, where DT12 is the effective half aperture of the near-image source side S2 of the first lens E1, DT22 is the effective half aperture of the near-image source side S4 of the second lens E2, DT32 is the effective half aperture of the near-image source side S6 of the third lens E3, DT42 is the effective half aperture of the near-image source side S8 of the fourth lens E4, and DT52 is the effective half aperture of the near-image source side S10 of the fifth lens E5.
Fig. 2A shows astigmatism curves representing meridional field curvature and sagittal field curvature of the optical system of example 1. Fig. 2B shows distortion curves of the optical system of embodiment 1, which represent distortion magnitude values at different image source heights. Fig. 2C shows a relative illuminance curve of the optical system of embodiment 1, which represents the relative illuminance corresponding to different image source heights. As can be seen from fig. 2A and 2C, the optical system according to embodiment 1 can achieve good image quality.
Example 2
An optical system according to embodiment 2 of the present application is described below with reference to fig. 3 to 4C. In this embodiment and the following embodiments, descriptions of parts similar to those of embodiment 1 will be omitted for the sake of brevity. Fig. 3 shows a schematic structural diagram of an optical system according to embodiment 2 of the present application.
As shown in fig. 3, an optical system according to an exemplary embodiment of the present application includes, in order from an image side to an image source side along an optical axis: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive power, and its near image side S1 is convex and its near image source side S2 is concave; the second lens E2 has positive power, and has a convex near-image side S3 and a convex near-image source side S4; the third lens E3 has negative power, and has a concave near-image side S5 and a convex near-image source side S6; the fourth lens element E4 has negative power, and has a concave near-image side S7 and a convex near-image side S8; the fifth lens element E5 has negative power, and its near image side S9 is convex and its near image source side S10 is concave. The optical system has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The light from the image source surface S11 passes through the respective surfaces S10 to S1 in order and is finally projected onto a target object in space (not shown).
Table 4 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical system of example 2, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
TABLE 4
As can be seen from table 4, in example 2, the near-image-side surface and the near-image-source-side surface of any one of the first lens E1 to the fifth lens E5 are both aspheric. Table 5 shows high-order term coefficients that can be used for each aspherical mirror surface in example 2, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above.
Flour mark A4 A6 A8 A10 A12 A14 A16
S1 -8.8351E-02 -1.6492E+00 3.3912E+01 -3.0416E+02 1.4745E+03 -3.4328E+03 2.9852E+03
S2 2.4884E-01 -1.3435E+00 7.2369E+00 -6.7510E+01 3.5218E+02 -1.3399E+03 2.4548E+03
S3 -6.1444E-01 7.7230E-02 -2.2215E+01 -4.8409E+01 1.3155E+03 -6.2816E+03 8.7886E+03
S4 -1.3175E+00 5.7526E+01 -6.2546E+02 3.3858E+03 -1.0637E+04 1.8273E+04 -1.3065E+04
S5 -3.3017E+00 1.1491E+02 -1.0838E+03 5.5766E+03 -1.7431E+04 3.0427E+04 -2.2264E+04
S6 -4.0453E+00 4.3272E+01 -1.8201E+02 3.9006E+02 -4.3838E+02 2.4543E+02 -5.4062E+01
S7 -5.2403E+00 1.9364E+01 -2.8766E+01 2.1730E+01 -7.7524E+00 8.0032E-01 7.5983E-02
S8 -2.2526E+00 8.0189E+00 -2.0853E+01 3.5646E+01 -3.3000E+01 1.5041E+01 -2.6385E+00
S9 -8.2147E-01 1.5994E+00 -1.9286E+00 1.4433E+00 -6.3163E-01 1.4893E-01 -1.4716E-02
S10 -6.6980E-01 1.1515E+00 -1.6402E+00 1.4728E+00 -7.7462E-01 2.1671E-01 -2.4665E-02
TABLE 5
Table 6 shows the total effective focal length f of the optical system, the effective focal lengths f1 to f5 of the respective lenses, and the object-side numerical aperture NA of the optical system in example 2.
Parameter(s) f(mm) f1(mm) f2(mm) f3(mm) f4(mm) f5(mm) NA
Numerical value 2.01 6.32 1.48 -76.24 -1373.97 -6.26 0.16
TABLE 6
Fig. 4A shows astigmatism curves representing meridional field curvature and sagittal field curvature of the optical system of example 2. Fig. 4B shows distortion curves of the optical system of embodiment 2, which represent distortion magnitude values at different image source heights. Fig. 4C shows a relative illuminance curve of the optical system of embodiment 2, which represents the relative illuminance corresponding to different image source heights. As can be seen from fig. 4A and 4C, the optical system according to embodiment 2 can achieve good image quality.
Example 3
An optical system according to embodiment 3 of the present application is described below with reference to fig. 5 to 6C. Fig. 5 shows a schematic structural diagram of an optical system according to embodiment 3 of the present application.
As shown in fig. 5, an optical system according to an exemplary embodiment of the present application includes, in order from an image side to an image source side along an optical axis: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive power, and its near image side S1 is convex and its near image source side S2 is concave; the second lens E2 has positive power, and has a concave near-image side S3 and a convex near-image source side S4; the third lens E3 has negative power, and has a concave near-image side S5 and a convex near-image source side S6; the fourth lens element E4 has positive power, and has a concave near-image side surface S7 and a convex near-image source side surface S8; the fifth lens element E5 has negative power, and its near image side S9 is concave and its near image source side S10 is concave. The optical system has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The light from the image source surface S11 passes through the respective surfaces S10 to S1 in order and is finally projected onto a target object in space (not shown).
Table 7 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical system of example 3, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
TABLE 7
As can be seen from table 7, in example 3, the near-image-side surface and the near-image-source-side surface of any one of the first lens E1 to the fifth lens E5 are both aspheric. Table 8 shows high-order term coefficients that can be used for each aspherical mirror surface in example 3, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above.
Flour mark A4 A6 A8 A10 A12 A14 A16
S1 1.5450E-01 -1.1909E+00 3.1754E+01 -2.9049E+02 1.4772E+03 -3.4104E+03 3.0018E+03
S2 4.5276E-01 -9.0672E-01 6.6948E+00 -5.3278E+01 3.6300E+02 -1.3315E+03 2.5855E+03
S3 -6.0379E-01 4.3441E+00 -5.8689E+01 -2.2293E+01 1.3345E+03 -6.2788E+03 8.7888E+03
S4 -6.1561E-01 5.6837E+01 -6.2400E+02 3.3817E+03 -1.0640E+04 1.8375E+04 -1.2754E+04
S5 -2.1471E+00 1.1198E+02 -1.0840E+03 5.5943E+03 -1.7398E+04 3.0414E+04 -2.2567E+04
S6 -4.3976E+00 4.3727E+01 -1.8137E+02 3.8952E+02 -4.3996E+02 2.4405E+02 -5.4092E+01
S7 -5.5618E+00 1.9223E+01 -2.8697E+01 2.1970E+01 -7.5878E+00 6.6180E-01 -5.1039E-01
S8 -2.3281E+00 8.0755E+00 -2.0789E+01 3.5628E+01 -3.3029E+01 1.5030E+01 -2.6404E+00
S9 -7.1178E-01 1.5927E+00 -1.9357E+00 1.4417E+00 -6.3172E-01 1.4904E-01 -1.4617E-02
S10 -6.8061E-01 1.1507E+00 -1.6393E+00 1.4731E+00 -7.7443E-01 2.1668E-01 -2.4752E-02
TABLE 8
Table 9 shows the total effective focal length f of the optical system, the effective focal lengths f1 to f5 of the respective lenses, and the object-side numerical aperture NA of the optical system in example 3.
Parameter(s) f(mm) f1(mm) f2(mm) f3(mm) f4(mm) f5(mm) NA
Numerical value 1.93 2.11 1.29 -2.17 2.23 -2.12 0.17
TABLE 9
Fig. 6A shows astigmatism curves representing meridional field curvature and sagittal field curvature of the optical system of example 3. Fig. 6B shows distortion curves of the optical system of embodiment 3, which represent distortion magnitude values at different image source heights. Fig. 6C shows a relative illuminance curve of the optical system of embodiment 3, which represents the relative illuminance corresponding to different image source heights. As can be seen from fig. 6A and 6C, the optical system according to embodiment 3 can achieve good image quality.
Example 4
An optical system according to embodiment 4 of the present application is described below with reference to fig. 7 to 8C. Fig. 7 shows a schematic structural diagram of an optical system according to embodiment 4 of the present application.
As shown in fig. 7, an optical system according to an exemplary embodiment of the present application includes, in order from an image side to an image source side along an optical axis: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive power, and its near image side S1 is convex and its near image source side S2 is concave; the second lens E2 has positive power, and has a concave near-image side S3 and a convex near-image source side S4; the third lens E3 has negative power, and has a concave near-image side S5 and a convex near-image source side S6; the fourth lens element E4 has negative power, and has a concave near-image side S7 and a convex near-image side S8; the fifth lens element E5 has positive power, and has a convex near-image side surface S9 and a convex near-image source side surface S10. The optical system has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The light from the image source surface S11 passes through the respective surfaces S10 to S1 in order and is finally projected onto a target object in space (not shown).
Table 10 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical system of example 4, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
Watch 10
As can be seen from table 10, in example 4, the near-image-side surface and the near-image-source-side surface of any one of the first lens E1 to the fifth lens E5 are both aspheric. Table 11 shows high-order term coefficients that can be used for each aspherical mirror surface in embodiment 4, wherein each aspherical mirror surface type can be defined by the formula (1) given in embodiment 1 above.
Flour mark A4 A6 A8 A10 A12 A14 A16
S1 1.2577E-01 -6.3929E-01 2.3402E+01 -2.5220E+02 1.4751E+03 -3.4301E+03 2.9854E+03
S2 3.9633E-01 -1.3348E+00 1.7632E+01 -1.1230E+02 3.5345E+02 -1.3419E+03 2.4547E+03
S3 -3.8375E-02 -1.5780E+00 -6.1350E+00 1.7530E+01 1.3153E+03 -6.2806E+03 8.7888E+03
S4 -7.7898E-01 5.5541E+01 -6.1963E+02 3.3976E+03 -1.0619E+04 1.8350E+04 -1.3411E+04
S5 -4.0907E+00 1.1677E+02 -1.0910E+03 5.5824E+03 -1.7407E+04 3.0416E+04 -2.2274E+04
S6 -4.3854E+00 4.3057E+01 -1.8136E+02 3.8934E+02 -4.3961E+02 2.4529E+02 -5.2284E+01
S7 -5.3108E+00 1.9240E+01 -2.8723E+01 2.1741E+01 -7.8605E+00 6.8195E-01 1.5065E-01
S8 -2.7833E+00 8.7104E+00 -2.0862E+01 3.5438E+01 -3.3105E+01 1.5052E+01 -2.5608E+00
S9 -8.5221E-01 1.6200E+00 -1.9270E+00 1.4421E+00 -6.3218E-01 1.4898E-01 -1.4657E-02
S10 -4.7748E-01 1.0360E+00 -1.6262E+00 1.4802E+00 -7.7446E-01 2.1637E-01 -2.4730E-02
TABLE 11
Table 12 shows the total effective focal length f of the optical system, the effective focal lengths f1 to f5 of the respective lenses, and the object-side numerical aperture NA of the optical system in example 4.
Parameter(s) f(mm) f1(mm) f2(mm) f3(mm) f4(mm) f5(mm) NA
Numerical value 1.90 2.00 1.30 -3.68 -2.40 2.39 0.17
TABLE 12
Fig. 8A shows astigmatism curves representing meridional field curvature and sagittal field curvature of the optical system of example 4. Fig. 8B shows distortion curves of the optical system of embodiment 4, which represent distortion magnitude values at different image source heights. Fig. 8C shows a relative illuminance curve of the optical system of example 4, which represents the relative illuminance corresponding to different image source heights. As can be seen from fig. 8A and 8C, the optical system according to embodiment 4 can achieve good image quality.
Example 5
An optical system according to embodiment 5 of the present application is described below with reference to fig. 9 to 10C. Fig. 9 shows a schematic structural diagram of an optical system according to embodiment 5 of the present application.
As shown in fig. 9, an optical system according to an exemplary embodiment of the present application includes, in order from an image side to an image source side along an optical axis: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive power, and its near image side S1 is convex and its near image source side S2 is concave; the second lens E2 has positive power, and has a convex near-image side S3 and a convex near-image source side S4; the third lens E3 has negative power, and has a concave near-image side S5 and a convex near-image source side S6; the fourth lens element E4 has positive power, and has a concave near-image side surface S7 and a convex near-image source side surface S8; the fifth lens element E5 has negative power, and its near image side S9 is concave and its near image source side S10 is concave. The optical system has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The light from the image source surface S11 passes through the respective surfaces S10 to S1 in order and is finally projected onto a target object in space (not shown).
Table 13 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical system of example 5, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
Watch 13
As can be seen from table 13, in example 5, the near-image-side surface and the near-image-source-side surface of any one of the first lens E1 to the fifth lens E5 are both aspheric. Table 14 shows high-order term coefficients that can be used for each aspherical mirror surface in example 5, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above.
TABLE 14
Table 15 shows the total effective focal length f of the optical system, the effective focal lengths f1 to f5 of the respective lenses, and the object-side numerical aperture NA of the optical system in example 5.
Parameter(s) f(mm) f1(mm) f2(mm) f3(mm) f4(mm) f5(mm) NA
Numerical value 1.98 3.75 1.78 -25.41 1.90 -1.97 0.16
Watch 15
Fig. 10A shows astigmatism curves representing meridional field curvature and sagittal field curvature of the optical system of example 5. Fig. 10B shows distortion curves of the optical system of example 5, which represent distortion magnitude values at different image source heights. Fig. 10C shows a relative illuminance curve of the optical system of example 5, which represents the relative illuminance corresponding to different image source heights. As can be seen from fig. 10A and 10C, the optical system according to embodiment 5 can achieve good image quality.
Example 6
An optical system according to embodiment 6 of the present application is described below with reference to fig. 11 to 12C. Fig. 11 shows a schematic structural view of an optical system according to embodiment 6 of the present application.
As shown in fig. 11, an optical system according to an exemplary embodiment of the present application includes, in order from an image side to an image source side along an optical axis: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive power, and its near image side S1 is convex and its near image source side S2 is concave; the second lens E2 has positive power, and has a convex near-image side S3 and a convex near-image source side S4; the third lens E3 has negative power, and has a concave near-image side S5 and a convex near-image source side S6; the fourth lens element E4 has positive power, and has a concave near-image side surface S7 and a convex near-image source side surface S8; the fifth lens element E5 has negative power, and its near image side S9 is concave and its near image source side S10 is convex. The optical system has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The light from the image source surface S11 passes through the respective surfaces S10 to S1 in order and is finally projected onto a target object in space (not shown).
Table 16 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical system of example 6, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
TABLE 16
As can be seen from table 16, in example 6, the near-image-side surface and the near-image-source-side surface of any one of the first lens E1 to the fifth lens E5 are both aspheric. Table 17 shows high-order term coefficients that can be used for each aspherical mirror surface in example 6, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above.
Flour mark A4 A6 A8 A10 A12 A14 A16
S1 -1.2505E-01 -3.4315E-01 2.8324E+01 -3.0121E+02 1.4235E+03 -3.1363E+03 2.5738E+03
S2 5.5156E-02 -1.5158E+00 1.2922E+01 -7.2277E+01 3.5429E+02 -1.5147E+03 2.5382E+03
S3 -9.8428E-02 -3.1893E+00 -1.8758E+01 -3.9951E+01 1.3186E+03 -6.2798E+03 9.5542E+03
S4 -6.9913E-01 5.7111E+01 -6.2645E+02 3.3743E+03 -1.0658E+04 1.8275E+04 -1.2785E+04
S5 -2.4824E+00 1.1459E+02 -1.0859E+03 5.5768E+03 -1.7444E+04 3.0391E+04 -2.2116E+04
S6 -4.1654E+00 4.4080E+01 -1.8078E+02 3.8954E+02 -4.4142E+02 2.4166E+02 -4.9662E+01
S7 -5.7951E+00 1.8850E+01 -2.8883E+01 2.3094E+01 -5.6934E+00 1.2713E+00 -5.7797E+00
S8 -2.0351E+00 7.6721E+00 -2.0682E+01 3.5721E+01 -3.3005E+01 1.5038E+01 -2.6464E+00
S9 -7.0727E-01 1.5936E+00 -1.9334E+00 1.4419E+00 -6.3190E-01 1.4895E-01 -1.4567E-02
S10 -5.3295E-01 1.0764E+00 -1.6362E+00 1.4766E+00 -7.7336E-01 2.1674E-01 -2.4804E-02
TABLE 17
Table 18 gives the total effective focal length f of the optical system, the effective focal lengths f1 to f5 of the respective lenses, and the object-side numerical aperture NA of the optical system in example 6.
Parameter(s) f(mm) f1(mm) f2(mm) f3(mm) f4(mm) f5(mm) NA
Numerical value 2.02 3.82 1.55 -3.22 1.86 -2.58 0.16
Watch 18
Fig. 12A shows astigmatism curves representing meridional field curvature and sagittal field curvature of the optical system of example 6. Fig. 12B shows distortion curves of the optical system of example 6, which represent distortion magnitude values at different image source heights. Fig. 12C shows a relative illuminance curve of the optical system of example 6, which represents the relative illuminance corresponding to different image source heights. As can be seen from fig. 12A and 12C, the optical system according to embodiment 6 can achieve good image quality.
Example 7
An optical system according to embodiment 7 of the present application is described below with reference to fig. 13 to 14C. Fig. 13 shows a schematic structural view of an optical system according to embodiment 7 of the present application.
As shown in fig. 13, an optical system according to an exemplary embodiment of the present application includes, in order from an image side to an image source side along an optical axis: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive power, and its near image side S1 is convex and its near image source side S2 is concave; the second lens E2 has positive power, and has a concave near-image side S3 and a convex near-image source side S4; the third lens E3 has negative power, and has a concave near-image side S5 and a convex near-image source side S6; the fourth lens element E4 has positive power, and has a concave near-image side surface S7 and a convex near-image source side surface S8; the fifth lens element E5 has positive power, and has a concave near-image side surface S9 and a convex near-image source side surface S10. The optical system has a light transmittance of greater than 85% in the light wavelength band of about 800nm to about 1000 nm. The light from the image source surface S11 passes through the respective surfaces S10 to S1 in order and is finally projected onto a target object in space (not shown).
Table 19 shows the surface type, radius of curvature, thickness, material, and conic coefficient of each lens of the optical system of example 7, wherein the unit of the radius of curvature and the thickness are both millimeters (mm).
Watch 19
As can be seen from table 19, in example 7, the near-image-side surface and the near-image-source-side surface of any one of the first lens E1 to the fifth lens E5 are both aspheric. Table 20 shows high-order term coefficients that can be used for each aspherical mirror surface in example 7, wherein each aspherical mirror surface type can be defined by formula (1) given in example 1 above.
Flour mark A4 A6 A8 A10 A12 A14 A16
S1 1.5885E-01 -1.1095E+00 2.9188E+01 -2.5757E+02 1.3402E+03 -3.4104E+03 3.0018E+03
S2 4.5647E-01 -9.1291E-01 7.1021E+00 -2.6044E+01 1.7700E+02 -1.3315E+03 2.5855E+03
S3 -3.4479E-01 5.4693E+00 -5.5412E+01 6.0501E+00 1.4744E+03 -6.2788E+03 8.7888E+03
S4 -5.9523E-01 5.6404E+01 -6.1852E+02 3.3757E+03 -1.0664E+04 1.8360E+04 -1.2510E+04
S5 -1.6232E+00 1.1100E+02 -1.0862E+03 5.6049E+03 -1.7373E+04 3.0424E+04 -2.2728E+04
S6 -4.4440E+00 4.3718E+01 -1.8059E+02 3.8959E+02 -4.4055E+02 2.4351E+02 -5.5087E+01
S7 -5.6405E+00 1.9259E+01 -2.8701E+01 2.2040E+01 -7.5889E+00 6.4142E-01 -4.1747E-01
S8 -2.2438E+00 7.8190E+00 -2.0722E+01 3.5707E+01 -3.2999E+01 1.5028E+01 -2.6723E+00
S9 -6.8580E-01 1.5900E+00 -1.9354E+00 1.4418E+00 -6.3175E-01 1.4910E-01 -1.4605E-02
S10 -5.8668E-01 1.1189E+00 -1.6428E+00 1.4748E+00 -7.7379E-01 2.1689E-01 -2.4721E-02
Watch 20
Table 21 gives the total effective focal length f of the optical system, the effective focal lengths f1 to f5 of the respective lenses, and the object-side numerical aperture NA of the optical system in example 7.
Parameter(s) f(mm) f1(mm) f2(mm) f3(mm) f4(mm) f5(mm) NA
Numerical value 1.90 2.14 1.29 -1.89 2.13 1.52 0.17
TABLE 21
Fig. 14A shows astigmatism curves representing meridional field curvature and sagittal field curvature of the optical system of example 7. Fig. 14B shows distortion curves of the optical system of example 7, which represent distortion magnitude values at different image source heights. Fig. 14C shows a relative illuminance curve of the optical system of example 7, which represents the relative illuminance corresponding to different image source heights. As can be seen from fig. 14A and 14C, the optical system according to embodiment 7 can achieve good image quality.
In summary, examples 1 to 7 each satisfy the relationship shown in table 22.
Conditional expression (A) example 1 2 3 4 5 6 7
f2/f 0.63 0.74 0.67 0.68 0.90 0.77 0.68
(1+TAN(CRA))×TTL/IH 2.12 2.27 2.12 2.16 2.20 2.28 2.20
NA 0.18 0.16 0.17 0.17 0.16 0.16 0.17
Tr5r8/CT5 1.77 2.08 2.06 1.24 2.20 2.21 1.98
T23/T34 0.40 0.50 0.32 0.23 0.56 0.60 0.38
|R4-R5|/|R4+R5| 0.04 0.37 0.01 0.17 0.44 0.48 0.07
R8/f -0.45 -0.50 -0.45 -0.70 -0.37 -0.43 -0.48
SAG41/SAG42 0.62 0.46 0.55 0.79 0.59 0.55 0.54
ET5/CT5 0.35 0.38 0.38 0.38 0.39 0.40 0.42
SAG51/SAG52 0.37 0.27 0.54 0.24 0.52 0.54 0.58
SAG52/CT5 -1.02 -0.85 -1.35 -0.82 -1.28 -1.32 -1.36
TABLE 22
The above description is only a preferred embodiment of the application and is illustrative of the principles of the technology employed. It will be appreciated by a person skilled in the art that the scope of the invention as referred to in the present application is not limited to the embodiments with a specific combination of the above-mentioned features, but also covers other embodiments with any combination of the above-mentioned features or their equivalents without departing from the inventive concept. For example, the above features may be replaced with (but not limited to) features having similar functions disclosed in the present application.

Claims (15)

1. An optical system comprising, in order along an optical axis from an imaging side to an image source side: a first lens, a second lens, a third lens, a fourth lens, and a fifth lens,
the first lens has positive focal power, and the side surface of the first lens close to the image source is a concave surface;
the second lens has positive focal power, and the side surface close to the image source of the second lens is a convex surface;
the third lens has negative focal power, and the side surface close to the image source of the third lens is a convex surface;
the fourth lens has focal power, and the near imaging side surface of the fourth lens is a concave surface;
the fifth lens has optical power;
the distance Tr5r8 between the near imaging side surface of the third lens and the near image source side surface of the fourth lens on the optical axis and the central thickness CT5 of the fifth lens on the optical axis satisfy 1.2 < Tr5r8/CT5 < 2.3;
the maximum incidence angle CRA of the chief ray of the optical system, the spacing distance TTL from the near imaging side surface of the first lens to the image source surface of the optical system on the optical axis and half IH of the diagonal length of the image source diameter satisfy 2 < (1+ TAN (CRA)) × TTL/IH < 2.5.
2. The optical system of claim 1, wherein the near-imaging side surface of the first lens is convex.
3. The optical system of claim 1, wherein the near-image side surface of the third lens is concave.
4. The optical system of claim 1, wherein the near-image-source side of the fourth lens is convex.
5. The optical system according to claim 1, wherein a separation distance T23 between the second lens and the third lens on the optical axis and a separation distance T34 between the third lens and the fourth lens on the optical axis satisfy 0.2 < T23/T34 < 0.7.
6. The optical system of claim 1, wherein a radius of curvature R4 of the near image source side surface of the second lens and a radius of curvature R5 of the near image source side surface of the third lens satisfy | R4-R5|/| R4+ R5| < 0.5.
7. The optical system of claim 6, wherein the effective focal length f2 of the second lens and the total effective focal length f of the optical system satisfy 0 < f2/f < 1.
8. The optical system of claim 1, wherein a radius of curvature R8 of the near-image source side of the fourth lens and a total effective focal length f of the optical system satisfy-1 < R8/f < 0.
9. The optical system of claim 1, wherein a distance from SAG41 on the optical axis to a vertex of a maximum effective semi-aperture of a near image side surface of the fourth lens from an intersection point of a near image side surface of the fourth lens and the optical axis to a vertex of a maximum effective semi-aperture of a near image side surface of the fourth lens on the optical axis to SAG42 satisfies 0.45 < SAG41/SAG42 < 1.
10. The optical system as claimed in claim 1, wherein a distance from SAG51 on the optical axis to a maximum effective semi-aperture vertex of the fifth lens near-image side surface from an intersection of the optical axis and the near-image source side surface of the fifth lens to a maximum effective semi-aperture vertex of the fifth lens near-image source side surface satisfies 0 < SAG51/SAG52 < 0.6 on the optical axis from SAG 52.
11. The optical system of claim 10, wherein a distance SAG52 on the optical axis from an intersection point of the optical axis and a near-image-source-side surface of the fifth lens to a maximum effective semi-aperture vertex of the optical axis to a central thickness CT5 of the fifth lens on the optical axis satisfies-1.5 < SAG52/CT5 < -0.8.
12. The optical system as claimed in claim 11, wherein an edge thickness ET5 of the fifth lens and a center thickness CT5 of the fifth lens on the optical axis satisfy 0 < ET5/CT5 < 0.5.
13. An optical system as set forth in any of claims 1 through 12, characterized in that the object-side numerical aperture NA of the optical system satisfies NA < 0.19.
14. The optical system according to any one of claims 1 to 12, characterized in that the optical system has a light transmittance of more than 85% in the light wave band of 800nm to 1000 nm.
15. The optical system according to any one of claims 1 to 12, wherein an effective semi-aperture diameter DT12 of the near-image-source-side surface of the first lens, an effective semi-aperture diameter DT22 of the near-image-source-side surface of the second lens, an effective semi-aperture diameter DT32 of the near-image-source-side surface of the third lens, an effective semi-aperture diameter DT42 of the near-image-source-side surface of the fourth lens, and an effective semi-aperture diameter DT52 of the near-image-source-side surface of the fifth lens satisfy DT12 < DT22 < DT32 < DT42 < DT 52.
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