CN108388006B - Optical system - Google Patents

Optical system Download PDF

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CN108388006B
CN108388006B CN201810297721.1A CN201810297721A CN108388006B CN 108388006 B CN108388006 B CN 108388006B CN 201810297721 A CN201810297721 A CN 201810297721A CN 108388006 B CN108388006 B CN 108388006B
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lens
optical system
optical axis
image
source side
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CN108388006A (en
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黄林
娄琪琪
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Zhejiang Sunny Optics Co Ltd
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Zhejiang Sunny Optics Co Ltd
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Priority to CN201811345624.1A priority Critical patent/CN109358406B/en
Priority to CN201810297721.1A priority patent/CN108388006B/en
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Priority to PCT/CN2018/114512 priority patent/WO2019184367A1/en
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    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00—Optical objectives specially designed for the purposes specified below
    • G02B13/001—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras
    • G02B13/0015—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design
    • G02B13/002—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface
    • G02B13/0045—Miniaturised 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
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00—Optical objectives specially designed for the purposes specified below
    • G02B13/06—Panoramic objectives; So-called "sky lenses" including panoramic objectives having reflecting surfaces
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00—Optical objectives specially designed for the purposes specified below
    • G02B13/16—Optical 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
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00—Optical objectives specially designed for the purposes specified below
    • G02B13/18—Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration

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  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
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Abstract

The application discloses an optical system, this optical system includes in order along the optical axis from imaging side to 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 face close to the image source is a concave face; the second lens has positive focal power, and the side face close to the image source is a convex face; the third lens has negative focal power, and the side face close to the image source is a convex face; 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 effective focal length f2 of the second lens and the total effective focal length f of the optical system satisfy 0 < f2/f < 1.

Description

Optical system
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 has an important meaning in application of Augmented Reality (AR) technology.
The coding structured light technology is one of important branches of 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 obtaining the depth information of the target object through back-end algorithm processing. 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.
While conventional projection lenses generally eliminate various aberrations and improve resolution by increasing the number of lenses. However, increasing the number of lenses results in an increase in the total optical length of the projection lens, which is disadvantageous in downsizing the lens. In addition, the general large-field angle projection lens has the problems of large distortion, poor imaging quality and the like, and cannot meet the requirements of the coding structure light depth recognition technology on the projection lens.
Disclosure of Invention
The present application provides an optical system, e.g. a projection lens, applicable to portable electronic products that at least solves or partially solves at least one of the above mentioned drawbacks of the prior art.
In one aspect, the present application provides an optical system including, in order from an imaging side to an image source side along an optical axis: 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 face near the image source can be a concave face; the second lens can have positive focal power, and the side surface near the image source can be a convex surface; the third lens can have negative focal power, and the side surface near the image source can be a convex surface; the fourth lens has optical power, and the near imaging side surface of the fourth lens can be concave; the fifth lens has optical power. The effective focal length f2 of the second lens and the total effective focal length f of the optical system can meet 0 < f2/f < 1.
In one embodiment, the distance Tr5r8 between the near imaging side of the third lens element and the near source side of the fourth lens element on the optical axis and the center thickness CT5 of the fifth lens element on the optical axis may satisfy 1.2 < Tr5r8/CT5 < 2.3.
In one embodiment, the separation distance T23 of the second lens and the third lens on the optical axis and the separation distance T34 of the third lens and the fourth lens on the optical axis can satisfy 0.2 < T23/T34 < 0.7.
In one embodiment, the radius of curvature R4 of the near-image-source side of the second lens and the radius of curvature R5 of the near-image-source side 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 may satisfy-1 < R8/f < 0.
In one embodiment, the distance SAG41 between the intersection point of the near imaging side of the fourth lens and the optical axis and the maximum effective half-caliber vertex of the near imaging side of the fourth lens on the optical axis and the distance SAG42 between the intersection point of the near image source side of the fourth lens and the optical axis and the maximum effective half-caliber vertex of the near image source side of the fourth lens on the optical axis can satisfy 0.45 < SAG41/SAG42 < 1.
In one embodiment, the distance SAG51 on the optical axis from the intersection point of the near imaging side of the fifth lens and the optical axis to the maximum effective half-caliber vertex of the near imaging side of the fifth lens and the distance SAG52 on the optical axis from the intersection point of the near image source side of the fifth lens and the optical axis to the maximum effective half-caliber vertex of the near image source side of the fifth lens may satisfy 0 < SAG51/SAG52 < 0.6.
In one embodiment, the distance SAG52 on the optical axis between the intersection of the near-source side of the fifth lens and the optical axis and the maximum effective half-caliber vertex of the near-source side of the fifth lens and the center 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 center thickness CT5 of the fifth lens on the optical axis may satisfy 0 < ET5/CT5 < 0.5.
In one embodiment, the maximum incidence angle CRA of the chief ray of the optical system, the distance TTL between the near imaging side 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 may satisfy 2 < (1+tan (CRA)) ×ttl/IH < 2.5.
In one embodiment, the object 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 light wave band of 800nm to 1000 nm.
In one embodiment, the effective half-caliber DT12 on the near-image-source side of the first lens, the effective half-caliber DT22 on the near-image-source side of the second lens, the effective half-caliber DT32 on the near-image-source side of the third lens, the effective half-caliber DT42 on the near-image-source side of the fourth lens, and the effective half-caliber DT52 on the near-image-source side of the fifth lens may satisfy DT12 < DT22 < DT32 < DT42 < DT52.
In another aspect, the present application provides an optical system including, in order from an imaging side to an image source side along an optical axis: 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 face near the image source can be a concave face; the second lens can have positive focal power, and the side surface near the image source can be a convex surface; the third lens can have negative focal power, and the side surface near the image source can be a convex surface; the fourth lens has optical power, and the near imaging side surface of the fourth lens can be concave; the fifth lens has optical power. The thickness ET5 of the edge of the fifth lens and the thickness CT5 of the center of the fifth lens on the optical axis can satisfy 0 < ET5/CT5 < 0.5.
In yet another aspect, the present application provides an optical system including, in order from an imaging side to an image source side along an optical axis: 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 face near the image source can be a concave face; the second lens can have positive focal power, and the side surface near the image source can be a convex surface; the third lens can have negative focal power, and the side surface near the image source can be a convex surface; the fourth lens has optical power, and the near imaging side surface of the fourth lens can be concave; the fifth lens has optical power. The distance SAG52 between the intersection point of the near-image-source side surface of the fifth lens and the optical axis and the maximum effective half-caliber vertex of the near-image-source side surface of the fifth lens on the optical axis and the central thickness CT5 of the fifth lens on the optical axis can meet the condition that SAG52/CT5 is less than-1.5 and less than-0.8.
The optical system has the advantages that multiple (e.g. five) lenses are adopted, and the focal power, the surface thickness, the axial spacing between the lenses and the like of each lens are reasonably selected and distributed, so that the optical system has at least one beneficial effect of large visual field, miniaturization, capability of meeting depth recognition projection requirements and the like.
Drawings
Other features, objects and advantages of the present application will become more apparent from the following detailed description of non-limiting embodiments, 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 embodiment 1;
fig. 3 shows a schematic structural view 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 of the optical system of example 2, respectively;
fig. 5 shows a schematic structural view 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 structural view 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 structural view 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 of the optical system of example 5, respectively;
fig. 11 shows a schematic structural view 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 of the optical system of example 6, respectively;
fig. 13 shows a schematic structural view of 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 of the optical system of example 7, respectively.
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 these detailed description are merely illustrative of exemplary embodiments of the application and are not intended to limit the scope of the 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 in this specification, the expressions first, second, etc. are only used to distinguish one feature from another feature, and do not represent any limitation of the feature. Accordingly, a first lens discussed below may also be referred to as a second lens, and a second lens may also be referred to as a first lens, without departing from the teachings of the present application.
In the drawings, the thickness, size, and shape of the lenses have been slightly exaggerated for convenience of explanation. In particular, the spherical or aspherical shape shown in the drawings is shown by way of example. That is, the shape of the spherical or aspherical surface is not limited to the shape of the spherical or aspherical surface shown in the drawings. The figures are merely examples and are 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, then 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 that is near the image source side is referred to as the near-image source side of the lens, and the surface of each lens that is near the image side is referred to as the near-image side of the lens.
It will be further understood that the terms "comprises," "comprising," "includes," "including," "having," "containing," 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. Furthermore, when a statement such as "at least one of the following" appears after a list of features that are listed, the entire listed feature is modified instead of modifying a separate element in the list. Furthermore, when describing embodiments of the present application, use of "may" means "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, in the case of no conflict, the embodiments and features in the embodiments may be combined with each other. The present application will be described in detail below with reference to the accompanying drawings in conjunction with embodiments.
The features, principles, and other aspects of the present application are described in detail below.
The optical system according to the exemplary embodiment of the present application may include, for example, five lenses having optical power, 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 along the optical axis from the imaging side to the image source side.
In an exemplary embodiment, the first lens may have positive optical power with a concave near-source side; the second lens can have positive focal power, and the side surface near the image source can be a convex surface; the third lens can have negative focal power, and the side surface near 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 concave; the fifth lens has positive optical power or negative optical power.
In an exemplary embodiment, the near imaging side of the first lens may be convex.
In an exemplary embodiment, the near imaging side of the third lens may be concave.
In an exemplary embodiment, the near-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 may further satisfy 0.5 < f2/f < 1, for example, 0.63.ltoreq.f2/f.ltoreq.0.90. Reasonable focal power and surface configuration are beneficial to ensuring the compact structure of an optical system, effectively ensuring the astigmatism of the system, ensuring the image quality balance in two directions of meridian and sagittal and improving the imaging quality.
In an exemplary embodiment, the optical system of the present application may satisfy the condition of 2 < (1+tan (CRA)) ×ttl/IH < 2.5, where CRA is a maximum incidence angle of a principal ray of the optical system, TTL is an on-axis distance from a near imaging side of the first lens to an image source plane of the optical system, and IH is half of a diagonal length of an image source diameter. More specifically, CRA, TTL and IH may further satisfy 2.1 < (1+TAN (CRA)). Times.TTL/IH < 2.3, for example, 2.12.ltoreq.1+TAN (CRA)). Times.TTL/IH.ltoreq.2.28. The method meets the condition that the formula 2 < (1+TAN (CRA)). Times.TTL/IH is less than 2.5, and is favorable for obtaining a larger field angle and a shorter TTL, thereby meeting the requirements of large depth recognition range and miniaturization of a projection module.
In an exemplary embodiment, the optical system of the present application may satisfy the conditional expression NA < 0.19, where NA is an object numerical aperture of the optical system. More specifically, NA may further satisfy 0.16.ltoreq.NA.ltoreq.0.18. Satisfies the condition that NA is less than 0.19, and is favorable for obtaining better imaging quality under the condition of satisfying the view field and the relative illumination.
In an exemplary embodiment, the optical system of the present application may satisfy the condition that Tr5r8/CT5 is less than 2.3, where Tr5r8 is an on-axis distance from a near imaging side of the third lens to a near image source side of the fourth lens, and CT5 is a center thickness of the fifth lens on the optical axis. More specifically, tr5r8 and CT5 may further satisfy 1.24.ltoreq.Tr5r8/CT 5.ltoreq.2.21. The method meets the condition that Tr5r8/CT5 is smaller than 1.2 and smaller than 2.3, is favorable for reducing the thickness sensitivity of the lens and meets the requirement of the lens on the processability.
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.ltoreq.T23/T34.ltoreq.0.60. The method meets the condition that T23/T34 is smaller than 0.7 and 0.2, is favorable for reducing the thickness sensitivity of the lens, and meets the requirements of miniaturization and processability of the lens.
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 of the second lens and R5 is a radius of curvature of the near-image-source side of the third lens. More specifically, R4 and R5 may further satisfy 0.01.ltoreq.R4-R5|/|R4+R5|.ltoreq.0.48. Satisfies the conditional expression |R4-R5|/|R4+R5| < 0.5, can effectively correct coma, reduce the decentration sensitivity of the lens, and improve the imaging quality.
In an exemplary embodiment, the optical system of the present application may satisfy the condition of-1 < R8/f < 0, where R8 is a radius of curvature of the near-source side of the fourth lens element, and f is a total effective focal length of the optical system. More specifically, R8 and f may further satisfy-0.8 < R8/f < -0.3, for example, -0.70. Ltoreq.R8/f. Ltoreq.0.37. Satisfies the condition that R8/f is less than 0 and 1, can ensure the chief ray angle CRA of the optical system and is beneficial to correcting the field curvature of the system.
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 point of a near imaging side surface and an optical axis of the fourth lens to a maximum effective half-caliber vertex of the near imaging side surface of the fourth lens, and SAG42 is an on-axis distance from an intersection point of a near image source side surface and the optical axis of the fourth lens to a maximum effective half-caliber vertex of the near image source side surface of the fourth lens. More specifically, SAG41 and SAG42 may further satisfy 0.46.ltoreq.SAG 41/SAG 42.ltoreq.0.79. Meets the condition that SAG41/SAG42 is smaller than 0.45 and smaller than 1, and can effectively eliminate the spherical aberration of the system to obtain high-definition images.
In an exemplary embodiment, the optical system of the present application may satisfy the condition 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 may further satisfy 0.3 < ET5/CT5 < 0.5, for example, 0.35.ltoreq.ET 5/CT 5.ltoreq.0.42. Satisfies the condition that ET5/CT5 is less than 0.5, can ensure the matching of the system chief ray angle CRA, and can effectively eliminate field curvature.
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 point of the near imaging side surface of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near imaging side surface of the fifth lens, and SAG52 is an on-axis distance from an intersection point of the near image source side surface of the fifth lens and the optical axis to a maximum effective half-caliber 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, e.g., 0.24.ltoreq.SAG 51/SAG 52.ltoreq.0.58. Meets the condition that SAG 0 is less than SAG51/SAG52 is less than 0.6, can effectively eliminate the spherical aberration of the system and obtain the high-definition image.
In an exemplary embodiment, the optical system of the present application may satisfy the condition-1.5 < SAG52/CT5 < -0.8, where SAG52 is an on-axis distance from an intersection point of the near-source side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near-source side of the fifth lens, and CT5 is a center thickness of the fifth lens on the optical axis. More specifically, SAG52 and CT5 can further satisfy-1.36.ltoreq.SAG 52/CT 5.ltoreq.0.82. Meets the condition that SAG52/CT5 < -0.8 is less than-1.5, can ensure the matching of the system chief ray angle CRA and can effectively eliminate spherical aberration.
In an exemplary embodiment, the optical system of the present application has a light transmittance of greater than 85% in the light wave band from about 800nm to about 1000 nm. Such an arrangement is advantageous in obtaining a projection screen of high brightness and reducing the aperture requirement for the receiving lens.
In an exemplary embodiment, the optical system of the present application may satisfy the condition of DT12 < DT22 < DT32 < DT42 < DT52, where DT12 is an effective half-caliber of a near-image-source side surface of the first lens, DT22 is an effective half-caliber of a near-image-source side surface of the second lens, DT32 is an effective half-caliber of a near-image-source side surface of the third lens, DT42 is an effective half-caliber of a near-image-source side surface of the fourth lens, and DT52 is an effective half-caliber of a near-image-source side surface of the fifth lens. The conditional DT12 & ltDT 22 & ltDT 32 & ltDT 42 & ltDT 52 is satisfied, the feasibility of the structure 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 diaphragm may be provided between the imaging side and the first lens.
Alternatively, the optical system may further 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 application may employ, for example, five lenses, and by reasonably selecting the materials of the lenses and reasonably distributing the focal power, the surface shape, the center thickness of each lens, the axial spacing between each lens, and the like, the optical system has the beneficial effects of large field of view, miniaturization, capability of well meeting the depth recognition projection requirement, and the like.
In the embodiments of the present application, aspherical mirror surfaces are often used for each lens. The aspherical 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 a better radius of curvature characteristic, and has advantages of improving distortion aberration and improving astigmatic aberration. By adopting the aspherical lens, aberration occurring at the time of imaging can be eliminated as much as possible, thereby improving imaging quality.
However, those skilled in the art will appreciate that the number of lenses making up an optical system can be varied to achieve the various results and advantages described in this specification without departing from the technical solutions claimed herein. For example, although the description has been made by taking five lenses as an example in the embodiment, the optical system is not limited to include five lenses. The optical system may also include other numbers of lenses, if desired.
Specific examples of the optical system applicable 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 configuration 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 imaging 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 focal power, the near-imaging side S1 of the first lens is a convex surface, and the near-image-source side S2 of the first lens is a concave surface; the second lens E2 has positive focal power, the near imaging side S3 of the second lens is concave, and the near image source side S4 of the second lens is convex; the third lens E3 has negative focal power, the near-imaging side S5 of the third lens is concave, and the near-image-source side S6 of the third lens is convex; the fourth lens E4 has positive focal power, wherein a near-imaging side surface S7 is a concave surface, and a near-image source side surface S8 is a convex surface; the fifth lens element E5 has negative refractive power, and has a convex near-image-source side S9 and a concave near-image-source side S10. The optical system has a light transmittance of greater than 85% in the light wave band of about 800nm to about 1000 nm. Light from the image source surface S11 sequentially passes through the respective surfaces S10 to S1 and is finally projected onto a target object (not shown) in space.
Table 1 shows the surface types, radii of curvature, thicknesses, materials, and cone coefficients of the respective lenses of the optical system of example 1, wherein the radii of curvature and thicknesses are each in millimeters (mm).
Figure BDA0001617094030000101
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 to the fifth lens E5 are aspheric. In the present embodiment, the surface shape x of each aspherical lens can be defined by, but not limited to, the following aspherical formula:
Figure BDA0001617094030000102
wherein x is the distance vector height from the vertex of the aspheric surface when the aspheric surface is at the position with the height h along the optical axis direction; c is the paraxial curvature of the aspheric surface, c=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 aspherical i-th order. Table 2 below shows the higher order coefficients A that can be used for each of the aspherical mirrors S1-S10 in example 1 4 、A 6 、A 8 、A 10 、A 12 、A 14 And A 16 。
Figure BDA0001617094030000103
Figure BDA0001617094030000111
TABLE 2
Table 3 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 numerical aperture NA of the optical system in embodiment 1.
Parameters (parameters) 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 Table 3
The optical system in embodiment 1 satisfies:
f2/f=0.63, where 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=2.12, where CRA is the maximum incidence angle 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 diagonal length of the image source diameter;
tr5r8/CT5 = 1.77, wherein Tr5r8 is an on-axis distance from the near-imaging side S5 of the third lens element E3 to the near-source side S8 of the fourth lens element E4, and CT5 is a center thickness of the fifth lens element E5 on the optical axis;
t23/t34=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;
r4-r5|/|r4+r5|=0.04, wherein 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-source side S5 of the third lens E3;
r8/f= -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;
SAG 41/sag42=0.62, wherein SAG41 is an on-axis distance from an intersection point of the near-imaging side surface S7 of the fourth lens E4 and the optical axis to a maximum effective half-caliber vertex of the near-imaging side surface S7 of the fourth lens E4, and SAG42 is an on-axis distance from an intersection point of the near-image-source side surface S8 of the fourth lens E4 and the optical axis to a maximum effective half-caliber vertex of the near-image-source side surface S8 of the fourth lens E4;
ET5/CT5 = 0.35, where ET5 is the edge thickness of the fifth lens E5, CT5 is the center thickness of the fifth lens E5 on the optical axis;
SAG 51/sag52=0.37, wherein SAG51 is an on-axis distance from an intersection point of the near-imaging side surface S9 of the fifth lens E5 and the optical axis to a maximum effective half-caliber vertex of the near-imaging side surface S9 of the fifth lens E5, and SAG52 is an on-axis distance from an intersection point of the 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;
SAG 52/ct5= -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 vertex of the maximum effective half-caliber of the near-image-source side surface S10 of the fifth lens E5, and CT5 is the center thickness of the fifth lens E5 on the optical axis;
DT12 < DT22 < DT32 < DT42 < DT52, wherein DT12 is the effective half-caliber of the near-image-source side S2 of the first lens E1, DT22 is the effective half-caliber of the near-image-source side S4 of the second lens E2, DT32 is the effective half-caliber of the near-image-source side S6 of the third lens E3, DT42 is the effective half-caliber of the near-image-source side S8 of the fourth lens E4, and DT52 is the effective half-caliber of the near-image-source side S10 of the fifth lens E5.
Fig. 2A shows an astigmatism curve of the optical system of embodiment 1, which represents meridional image plane curvature and sagittal image plane curvature. Fig. 2B shows a distortion curve of the optical system of embodiment 1, which represents distortion magnitude values at different image source heights. Fig. 2C shows the relative illuminance curves of the optical system of embodiment 1, which represent the relative illuminance corresponding to different image source heights. As can be seen from fig. 2A and 2C, the optical system provided in embodiment 1 can achieve good imaging 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 portions similar to embodiment 1 will be omitted for brevity. Fig. 3 shows a schematic configuration of an optical system according to embodiment 2 of the present application.
As shown in fig. 3, the optical system according to the exemplary embodiment of the present application sequentially includes, along the optical axis from the imaging side to the image source side: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive focal power, the near-imaging side S1 of the first lens is a convex surface, and the near-image-source side S2 of the first lens is a concave surface; the second lens E2 has positive focal power, and a near-imaging side S3 of the second lens is a convex surface, and a near-image-source side S4 of the second lens is a convex surface; the third lens E3 has negative focal power, the near-imaging side S5 of the third lens is concave, and the near-image-source side S6 of the third lens is convex; the fourth lens E4 has negative focal power, wherein a near-imaging side surface S7 is a concave surface, and a near-image source side surface S8 is a convex surface; the fifth lens element E5 has negative refractive power, and has a convex near-image-source side S9 and a concave near-image-source side S10. The optical system has a light transmittance of greater than 85% in the light wave band of about 800nm to about 1000 nm. Light from the image source surface S11 sequentially passes through the respective surfaces S10 to S1 and is finally projected onto a target object (not shown) in space.
Table 4 shows the surface types, radii of curvature, thicknesses, materials, and cone coefficients of the respective lenses of the optical system of example 2, wherein the radii of curvature and thicknesses are each in millimeters (mm).
Figure BDA0001617094030000131
TABLE 4 Table 4
As can be seen from table 4, in embodiment 2, the near imaging side and the near source side of any one of the first lens E1 to the fifth lens E5 are aspherical surfaces. Table 5 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 2, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
Figure BDA0001617094030000132
Figure BDA0001617094030000141
TABLE 5
Table 6 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 numerical aperture NA of the optical system in embodiment 2.
Parameters (parameters) 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 an astigmatism curve of the optical system of embodiment 2, which represents meridional image plane curvature and sagittal image plane curvature. Fig. 4B shows a distortion curve of the optical system of embodiment 2, which represents 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 provided in embodiment 2 can achieve good imaging 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 view of an optical system according to embodiment 3 of the present application.
As shown in fig. 5, the optical system according to the exemplary embodiment of the present application sequentially includes, along the optical axis from the imaging side to the image source side: stop STO, first lens E1, second lens E2, third lens E3, fourth lens E4, and fifth lens E5.
The first lens E1 has positive focal power, the near-imaging side S1 of the first lens is a convex surface, and the near-image-source side S2 of the first lens is a concave surface; the second lens E2 has positive focal power, the near imaging side S3 of the second lens is concave, and the near image source side S4 of the second lens is convex; the third lens E3 has negative focal power, the near-imaging side S5 of the third lens is concave, and the near-image-source side S6 of the third lens is convex; the fourth lens E4 has positive focal power, wherein a near-imaging side surface S7 is a concave surface, and a near-image source side surface S8 is a convex surface; the fifth lens element E5 has negative refractive power, and has a concave image-side surface S9 and a concave image-source-side surface S10. The optical system has a light transmittance of greater than 85% in the light wave band of about 800nm to about 1000 nm. Light from the image source surface S11 sequentially passes through the respective surfaces S10 to S1 and is finally projected onto a target object (not shown) in space.
Table 7 shows the surface types, radii of curvature, thicknesses, materials, and cone coefficients of the respective lenses of the optical system of example 3, in which the units of the radii of curvature and thicknesses are millimeters (mm).
Figure BDA0001617094030000151
TABLE 7
As can be seen from table 7, in embodiment 3, the near imaging side and the near source side of any one of the first lens E1 to the fifth lens E5 are aspherical. Table 8 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 3, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
Face number 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 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 numerical aperture NA of the optical system in embodiment 3.
Parameters (parameters) 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 an astigmatism curve of the optical system of embodiment 3, which represents meridional image plane curvature and sagittal image plane curvature. Fig. 6B shows a distortion curve of the optical system of embodiment 3, which represents distortion magnitude values at different image source heights. Fig. 6C shows the relative illuminance curves of the optical system of example 3, which represent the relative illuminance for different image source heights. As can be seen from fig. 6A and 6C, the optical system provided in embodiment 3 can achieve good imaging 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, the optical system according to the exemplary embodiment of the present application includes, in order from an imaging 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 focal power, the near-imaging side S1 of the first lens is a convex surface, and the near-image-source side S2 of the first lens is a concave surface; the second lens E2 has positive focal power, the near imaging side S3 of the second lens is concave, and the near image source side S4 of the second lens is convex; the third lens E3 has negative focal power, the near-imaging side S5 of the third lens is concave, and the near-image-source side S6 of the third lens is convex; the fourth lens E4 has negative focal power, wherein a near-imaging side surface S7 is a concave surface, and a near-image source side surface S8 is a convex surface; the fifth lens element E5 has positive refractive power, and has a convex near-image-source side S10 and a convex near-image-source side S9. The optical system has a light transmittance of greater than 85% in the light wave band of about 800nm to about 1000 nm. Light from the image source surface S11 sequentially passes through the respective surfaces S10 to S1 and is finally projected onto a target object (not shown) in space.
Table 10 shows the surface types, radii of curvature, thicknesses, materials, and cone coefficients of the respective lenses of the optical system of example 4, in which the units of the radii of curvature and thicknesses are millimeters (mm).
Figure BDA0001617094030000161
Figure BDA0001617094030000171
Table 10
As can be seen from table 10, in example 4, the near imaging side and the near source side of any one of the first lens E1 to the fifth lens E5 are aspherical surfaces. Table 11 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 4, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
Face number 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 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 numerical aperture NA of the optical system in embodiment 4.
Parameters (parameters) 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 an astigmatism curve of the optical system of embodiment 4, which represents meridional image plane curvature and sagittal image plane curvature. Fig. 8B shows a distortion curve of the optical system of embodiment 4, which represents distortion magnitude values at different image source heights. Fig. 8C shows the relative illuminance curves of the optical system of example 4, which represent the relative illuminance for different image source heights. As can be seen from fig. 8A and 8C, the optical system provided in embodiment 4 can achieve good imaging 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 view of an optical system according to embodiment 5 of the present application.
As shown in fig. 9, the optical system according to the exemplary embodiment of the present application includes, in order from an imaging 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 focal power, the near-imaging side S1 of the first lens is a convex surface, and the near-image-source side S2 of the first lens is a concave surface; the second lens E2 has positive focal power, and a near-imaging side S3 of the second lens is a convex surface, and a near-image-source side S4 of the second lens is a convex surface; the third lens E3 has negative focal power, the near-imaging side S5 of the third lens is concave, and the near-image-source side S6 of the third lens is convex; the fourth lens E4 has positive focal power, wherein a near-imaging side surface S7 is a concave surface, and a near-image source side surface S8 is a convex surface; the fifth lens element E5 has negative refractive power, and has a concave image-side surface S9 and a concave image-source-side surface S10. The optical system has a light transmittance of greater than 85% in the light wave band of about 800nm to about 1000 nm. Light from the image source surface S11 sequentially passes through the respective surfaces S10 to S1 and is finally projected onto a target object (not shown) in space.
Table 13 shows the surface types, radii of curvature, thicknesses, materials, and cone coefficients of the respective lenses of the optical system of example 5, in which the units of the radii of curvature and thicknesses are millimeters (mm).
Figure BDA0001617094030000181
Figure BDA0001617094030000191
TABLE 13
As can be seen from table 13, in example 5, the near-imaging side surface and the near-image-source side surface of any one of the first lens E1 to the fifth lens E5 are aspherical surfaces. Table 14 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 5, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
Face number A4 A6 A8 A10 A12 A14 A16
S1 -7.9095E-02 -7.9257E-01 2.7958E+01 -2.9281E+02 1.4386E+03 -3.3809E+03 3.0874E+03
S2 6.7312E-02 -1.6523E+00 1.1232E+01 -7.6056E+01 3.5904E+02 -1.4135E+03 2.1145E+03
S3 -4.2363E-01 -8.3369E-01 -2.3858E+01 -5.1200E+01 1.3396E+03 -6.1546E+03 9.1490E+03
S4 -1.2298E+00 5.7261E+01 -6.2525E+02 3.3809E+03 -1.0650E+04 1.8276E+04 -1.2844E+04
S5 -3.0085E+00 1.1570E+02 -1.0863E+03 5.5739E+03 -1.7433E+04 3.0426E+04 -2.2222E+04
S6 -3.8979E+00 4.3139E+01 -1.8165E+02 3.9020E+02 -4.3893E+02 2.4387E+02 -5.6190E+01
S7 -5.6525E+00 1.9444E+01 -2.8566E+01 2.2214E+01 -7.2931E+00 6.8834E-01 -2.5454E+00
S8 -2.0259E+00 7.8858E+00 -2.0795E+01 3.5692E+01 -3.2980E+01 1.5043E+01 -2.6561E+00
S9 -7.6132E-01 1.6002E+00 -1.9315E+00 1.4421E+00 -6.3184E-01 1.4891E-01 -1.4647E-02
S10 -7.0028E-01 1.1526E+00 -1.6386E+00 1.4724E+00 -7.7437E-01 2.1669E-01 -2.4691E-02
TABLE 14
Table 15 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 numerical aperture NA of the optical system in embodiment 5.
Parameters (parameters) 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
TABLE 15
Fig. 10A shows an astigmatism curve of the optical system of example 5, which represents meridional image plane curvature and sagittal image plane curvature. Fig. 10B shows a distortion curve of the optical system of embodiment 5, which represents distortion magnitude values at different image source heights. Fig. 10C shows the relative illuminance curves of the optical system of example 5, which represent the relative illuminance for different image source heights. As can be seen from fig. 10A and 10C, the optical system provided in embodiment 5 can achieve good imaging 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, the optical system according to the exemplary embodiment of the present application includes, in order from an imaging 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 focal power, the near-imaging side S1 of the first lens is a convex surface, and the near-image-source side S2 of the first lens is a concave surface; the second lens E2 has positive focal power, and a near-imaging side S3 of the second lens is a convex surface, and a near-image-source side S4 of the second lens is a convex surface; the third lens E3 has negative focal power, the near-imaging side S5 of the third lens is concave, and the near-image-source side S6 of the third lens is convex; the fourth lens E4 has positive focal power, wherein a near-imaging side surface S7 is a concave surface, and a near-image source side surface S8 is a convex surface; the fifth lens element E5 has negative refractive power, and has a concave near-image-source side S9 and a convex near-image-source side S10. The optical system has a light transmittance of greater than 85% in the light wave band of about 800nm to about 1000 nm. Light from the image source surface S11 sequentially passes through the respective surfaces S10 to S1 and is finally projected onto a target object (not shown) in space.
Table 16 shows the surface types, radii of curvature, thicknesses, materials, and cone coefficients of the respective lenses of the optical system of example 6, in which the units of the radii of curvature and thicknesses are millimeters (mm).
Figure BDA0001617094030000201
Table 16
As can be seen from table 16, in example 6, the near-imaging side surface and the near-image-source side surface of any one of the first lens E1 to the fifth lens E5 are aspherical surfaces. Table 17 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 6, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
Face number 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 numerical aperture NA of the optical system in embodiment 6.
Parameters (parameters) 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
TABLE 18
Fig. 12A shows an astigmatism curve of the optical system of example 6, which represents meridional image plane curvature and sagittal image plane curvature. Fig. 12B shows a distortion curve of the optical system of example 6, which represents 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 provided in embodiment 6 can achieve good imaging 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, the optical system according to the exemplary embodiment of the present application includes, in order from an imaging 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 focal power, the near-imaging side S1 of the first lens is a convex surface, and the near-image-source side S2 of the first lens is a concave surface; the second lens E2 has positive focal power, the near imaging side S3 of the second lens is concave, and the near image source side S4 of the second lens is convex; the third lens E3 has negative focal power, the near-imaging side S5 of the third lens is concave, and the near-image-source side S6 of the third lens is convex; the fourth lens E4 has positive focal power, wherein a near-imaging side surface S7 is a concave surface, and a near-image source side surface S8 is a convex surface; the fifth lens element E5 has positive refractive power, and has a concave near-image-source side S9 and a convex near-image-source side S10. The optical system has a light transmittance of greater than 85% in the light wave band of about 800nm to about 1000 nm. Light from the image source surface S11 sequentially passes through the respective surfaces S10 to S1 and is finally projected onto a target object (not shown) in space.
Table 19 shows the surface types, radii of curvature, thicknesses, materials, and cone coefficients of the respective lenses of the optical system of example 7, in which the units of the radii of curvature and thicknesses are millimeters (mm).
Figure BDA0001617094030000221
TABLE 19
As can be seen from table 19, in example 7, the near-imaging side surface and the near-image-source side surface of any one of the first lens E1 to the fifth lens E5 are aspherical surfaces. Table 20 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 7, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
Face number 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
Table 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 numerical aperture NA of the optical system in example 7.
Parameters (parameters) 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 an astigmatism curve of the optical system of example 7, which represents meridional image plane curvature and sagittal image plane curvature. Fig. 14B shows a distortion curve of the optical system of embodiment 7, which represents 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 provided in embodiment 7 can achieve good imaging quality.
In summary, examples 1 to 7 each satisfy the relationship shown in table 22.
Conditional\embodiment 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 foregoing description is only of the preferred embodiments of the present application and is presented as a description of the principles of the technology being utilized. It will be appreciated by persons skilled in the art that the scope of the invention referred to in this application is not limited to the specific combinations of features described above, but it is intended to cover other embodiments in which any combination of features described above or equivalents thereof is possible without departing from the spirit of the invention. Such as the above-described features and technical features having similar functions (but not limited to) disclosed in the present application are replaced with each other.

Claims (36)

1. The optical system sequentially comprises from an imaging side to an image source side along an optical axis: a first lens, a second lens, a third lens, a fourth lens and a fifth lens, characterized in that,
the first lens has positive focal power, and the side face close to the image source is a concave face;
the second lens has positive focal power, and the side face close to the image source is a convex face;
the third lens has negative focal power, and the side face close to the image source is a convex face;
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 number of lenses having optical power in the optical system is five;
any one of the first lens to the fifth lens is an aspherical lens;
the effective focal length f2 of the second lens and the total effective focal length f of the optical system meet 0 < f2/f < 1; and
the distance T23 between the second lens and the third lens on the optical axis and the distance T34 between the third lens and the fourth lens on the optical axis satisfy 0.2 < T23/T34 < 0.7.
2. The optical system according to claim 1, wherein a distance Tr5r8 between a near imaging side of the third lens and a near source side of the fourth lens on the optical axis and a center thickness CT5 of the fifth lens on the optical axis satisfy 1.2 < Tr5r8/CT5 < 2.3.
3. The optical system of claim 1, wherein a radius of curvature R4 of the near-image-source side of the second lens and a radius of curvature R5 of the near-image-source side of the third lens satisfy |r4-r5|/|r4+r5| < 0.5.
4. The optical system of claim 1, wherein a radius of curvature R8 of the near-source side of the fourth lens and a total effective focal length f of the optical system satisfy-1 < R8/f < 0.
5. The optical system of claim 1, wherein an intersection of a near imaging side of the fourth lens and the optical axis to a maximum effective half-caliber vertex of the fourth lens near imaging side on the optical axis distance SAG41 and an intersection of a near image source side of the fourth lens and the optical axis to a maximum effective half-caliber vertex of the fourth lens near image source side on the optical axis distance SAG42 satisfies 0.45 < SAG41/SAG42 < 1.
6. The optical system of claim 1, wherein an intersection of a near imaging side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near imaging side of the fifth lens on the optical axis is a distance SAG51 from an intersection of a near source side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near source side of the fifth lens on the optical axis is SAG52 satisfying 0 < SAG51/SAG52 < 0.6.
7. The optical system of claim 6, wherein a distance SAG52 on the optical axis from an intersection of the near-source side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near-source side of the fifth lens and a center thickness CT5 of the fifth lens on the optical axis satisfy-1.5 < SAG52/CT5 < -0.8.
8. The optical system of claim 7, 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.
9. The optical system according to any one of claims 1 to 8, wherein a principal ray maximum incidence angle CRA of the optical system, a distance TTL between a near imaging side of the first lens and an image source surface of the optical system on the optical axis and a half IH of a diagonal length of the image source diameter satisfy 2 < (1+tan (CRA)) ×ttl/IH < 2.5.
10. An optical system according to any one of claims 1 to 8, characterized in that the object numerical aperture NA of the optical system satisfies NA < 0.19.
11. The optical system of any one of claims 1 to 8, wherein the optical system has a light transmittance of greater than 85% in the light wave band of 800nm to 1000 nm.
12. The optical system of any one of claims 1 to 8, wherein the effective half-caliber DT12 of the near-image-source side of the first lens, the effective half-caliber DT22 of the near-image-source side of the second lens, the effective half-caliber DT32 of the near-image-source side of the third lens, the effective half-caliber DT42 of the near-image-source side of the fourth lens, and the effective half-caliber DT52 of the near-image-source side of the fifth lens satisfy DT12 < DT22 < DT32 < DT42 < DT52.
13. The optical system sequentially comprises from an imaging side to an image source side along an optical axis: a first lens, a second lens, a third lens, a fourth lens and a fifth lens, characterized in that,
the first lens has positive focal power, and the side face close to the image source is a concave face;
the second lens has positive focal power, and the side face close to the image source is a convex face;
the third lens has negative focal power, and the side face close to the image source is a convex face;
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 number of lenses having optical power in the optical system is five;
any one of the first lens to the fifth lens is an aspherical lens;
the edge thickness ET5 of the fifth lens and the center thickness CT5 of the fifth lens on the optical axis satisfy 0 < ET5/CT5 < 0.5; and
the distance T23 between the second lens and the third lens on the optical axis and the distance T34 between the third lens and the fourth lens on the optical axis satisfy 0.2 < T23/T34 < 0.7.
14. The optical system of claim 13, wherein a distance Tr5r8 between a near imaging side of the third lens and a near source side of the fourth lens on the optical axis and a center thickness CT5 of the fifth lens on the optical axis satisfy 1.2 < Tr5r8/CT5 < 2.3.
15. The optical system of claim 13, wherein a distance SAG52 on the optical axis from an intersection of the near-source side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near-source side of the fifth lens and a center thickness CT5 of the fifth lens on the optical axis satisfy-1.5 < SAG52/CT5 < -0.8.
16. The optical system of claim 13, wherein an intersection of a near imaging side of the fourth lens and the optical axis to a maximum effective half-caliber vertex of the fourth lens near imaging side on the optical axis distance SAG41 and an intersection of a near image source side of the fourth lens and the optical axis to a maximum effective half-caliber vertex of the fourth lens near image source side on the optical axis distance SAG42 satisfies 0.45 < SAG41/SAG42 < 1.
17. The optical system according to claim 13 or 16, wherein an on-axis distance SAG51 from an intersection of a near imaging side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near imaging side of the fifth lens and an on-axis distance SAG52 from an intersection of a near image source side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near image source side of the fifth lens satisfies 0 < SAG51/SAG52 < 0.6.
18. The optical system of claim 13, wherein a radius of curvature R4 of the near-image-source side of the second lens and a radius of curvature R5 of the near-image-source side of the third lens satisfy |r4-r5|/|r4+r5| < 0.5.
19. The optical system of claim 13, wherein a radius of curvature R8 of the near-source side of the fourth lens and a total effective focal length f of the optical system satisfy-1 < R8/f < 0.
20. The optical system of claim 13, wherein an effective focal length f2 of the second lens and a total effective focal length f of the optical system satisfy 0 < f2/f < 1.
21. The optical system of claim 13, wherein the effective half-caliber DT12 of the near-image source side of the first lens, the effective half-caliber DT22 of the near-image source side of the second lens, the effective half-caliber DT32 of the near-image source side of the third lens, the effective half-caliber DT42 of the near-image source side of the fourth lens, and the effective half-caliber DT52 of the near-image source side of the fifth lens satisfy DT12 < DT22 < DT32 < DT42 < DT52.
22. The optical system of claim 21, wherein the optical system has a light transmittance of greater than 85% in the light wave band of 800nm to 1000 nm.
23. The optical system of claim 21, wherein the optical system has an object numerical aperture NA that satisfies NA < 0.19.
24. The optical system according to claim 21, wherein a maximum incidence angle CRA of a principal ray of the optical system, a distance TTL between a near imaging side of the first lens and an image source surface of the optical system on the optical axis and a half IH of a diagonal length of the image source diameter satisfy 2 < (1+tan (CRA)) ×ttl/IH < 2.5.
25. The optical system sequentially comprises from an imaging side to an image source side along an optical axis: a first lens, a second lens, a third lens, a fourth lens and a fifth lens, characterized in that,
the first lens has positive focal power, and the side face close to the image source is a concave face;
the second lens has positive focal power, and the side face close to the image source is a convex face;
the third lens has negative focal power, and the side face close to the image source is a convex face;
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 number of lenses having optical power in the optical system is five; any one of the first lens to the fifth lens is an aspherical lens;
The distance SAG52 between the intersection point of the near-image-source side surface of the fifth lens and the optical axis and the maximum effective half-caliber vertex of the near-image-source side surface of the fifth lens on the optical axis and the central thickness CT5 of the fifth lens on the optical axis meet the condition that SAG52/CT5 is less than-1.5 and less than-0.8; and
the distance T23 between the second lens and the third lens on the optical axis and the distance T34 between the third lens and the fourth lens on the optical axis satisfy 0.2 < T23/T34 < 0.7.
26. The optical system of claim 25, wherein a distance Tr5r8 between a near imaging side of the third lens and a near source side of the fourth lens on the optical axis and a center thickness CT5 of the fifth lens on the optical axis satisfy 1.2 < Tr5r8/CT5 < 2.3.
27. The optical system of claim 26, wherein a radius of curvature R8 of the near-source side of the fourth lens and a total effective focal length f of the optical system satisfy-1 < R8/f < 0.
28. The optical system of claim 25, wherein a radius of curvature R4 of the near-image-source side of the second lens and a radius of curvature R5 of the near-image-source side of the third lens satisfy |r4-r5|/|r4+r5| < 0.5.
29. The optical system of claim 28, 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.
30. The optical system of claim 25, wherein an intersection of a near imaging side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near imaging side of the fifth lens on the optical axis is 0 < SAG51/SAG52 < 0.6 and an intersection of a near source side of the fifth lens and the optical axis to a maximum effective half-caliber vertex of the near source side of the fifth lens on the optical axis is SAG 52.
31. The optical system of claim 30, 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.
32. The optical system of claim 25, wherein an intersection of a near imaging side of the fourth lens and the optical axis to a maximum effective half-caliber vertex of the fourth lens near imaging side on the optical axis distance SAG41 and an intersection of a near image source side of the fourth lens and the optical axis to a maximum effective half-caliber vertex of the fourth lens near image source side on the optical axis distance SAG42 satisfies 0.45 < SAG41/SAG42 < 1.
33. The optical system of any one of claims 25 to 32, wherein the effective half-caliber DT12 of the near-image-source side of the first lens, the effective half-caliber DT22 of the near-image-source side of the second lens, the effective half-caliber DT32 of the near-image-source side of the third lens, the effective half-caliber DT42 of the near-image-source side of the fourth lens, and the effective half-caliber DT52 of the near-image-source side of the fifth lens satisfy DT12 < DT22 < DT32 < DT42 < DT52.
34. The optical system of claim 33 wherein a maximum chief ray incidence angle CRA of the optical system, a distance TTL between a near imaging side of the first lens and an image source surface of the optical system on the optical axis and one half IH of a diagonal length of the image source diameter satisfy 2 < (1+tan (CRA)) ×ttl/IH < 2.5.
35. The optical system of claim 33, wherein the optical system has an object numerical aperture NA that satisfies NA < 0.19.
36. The optical system of claim 33, wherein the optical system has a light transmittance of greater than 85% in the light wave band of 800nm to 1000 nm.
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