CN117031707A - Optical system - Google Patents

Optical system Download PDF

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Publication number
CN117031707A
CN117031707A CN202310982001.XA CN202310982001A CN117031707A CN 117031707 A CN117031707 A CN 117031707A CN 202310982001 A CN202310982001 A CN 202310982001A CN 117031707 A CN117031707 A CN 117031707A
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CN
China
Prior art keywords
lens
spacer
element group
optical system
optical
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN202310982001.XA
Other languages
Chinese (zh)
Inventor
张步康
姚嘉诚
游金兴
张晓彬
金银芳
戴付建
赵烈烽
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Zhejiang Sunny Optics Co Ltd
Original Assignee
Zhejiang Sunny Optics Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Zhejiang Sunny Optics Co Ltd filed Critical Zhejiang Sunny Optics Co Ltd
Priority to CN202310982001.XA priority Critical patent/CN117031707A/en
Publication of CN117031707A publication Critical patent/CN117031707A/en
Pending legal-status Critical Current

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Classifications

    • 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
    • G02B13/004—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 four lenses
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00—Optical objectives specially designed for the purposes specified below
    • 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
    • G02B13/009—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras having zoom function
    • 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
    • G02B15/00—Optical objectives with means for varying the magnification
    • G02B15/14—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B17/00—Systems with reflecting surfaces, with or without refracting elements
    • G02B17/08—Catadioptric systems
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/0025—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for optical correction, e.g. distorsion, aberration
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/01—Head-up displays
    • G02B27/0101—Head-up displays characterised by optical features
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/28—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00—Optical elements other than lenses
    • G02B5/30—Polarising elements
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/01—Head-up displays
    • G02B27/0101—Head-up displays characterised by optical features
    • G02B2027/011—Head-up displays characterised by optical features comprising device for correcting geometrical aberrations, distortion
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/01—Head-up displays
    • G02B27/0101—Head-up displays characterised by optical features
    • G02B2027/0123—Head-up displays characterised by optical features comprising devices increasing the field of view
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/01—Head-up displays
    • G02B27/0101—Head-up displays characterised by optical features
    • G02B2027/013—Head-up displays characterised by optical features comprising a combiner of particular shape, e.g. curvature

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

Abstract

The application discloses an optical system, which comprises a lens barrel, an optical element group and a spacer group, wherein the optical element group and the spacer group are arranged in the lens barrel, the optical element group sequentially comprises a first element group, a second element group, a third element group and a fourth element group from a first side to a second side along an optical axis, the first element group comprises a reflective polarizing element, a first quarter wave plate and a first lens, the second element group comprises a second quarter wave plate and a second lens, the third element group comprises a third lens, and the fourth element group comprises a fourth lens; the spacer group comprises a third spacer which is arranged on the second side surface of the third lens and is contacted with the second side surface of the third lens; the length L of the lens barrel in the direction of the optical axis and the total effective focal length f of the optical system meet the following conditions: L/F <1.5, and the effective focal length F3 of the third element group, the effective focal length F4 of the fourth element group, the inner diameter d3s of the first side of the third spacer and the inner diameter d3m of the second side of the third spacer satisfy: 0< F3/d3s+F4/d3m <5.0.

Description

Optical system
Technical Field
The application relates to the field of optical devices, in particular to a refraction and reflection type optical system.
Background
Virtual reality technology is a brand new practical technology, which goes from theory to reality and is widely applied in the fields of education, military, art and entertainment, medical treatment, automobiles and the like.
Existing virtual reality devices are typically configured with a catadioptric structure of two lenses, with both the lenses and the screen being large in size in the virtual reality device in order to meet a larger field of view, and their parasitic light performance being easily ignored. Therefore, how to balance the viewing angle and the stray light performance of the virtual reality device to improve the user experience is one of the problems to be solved in the art.
Disclosure of Invention
The present application provides an optical system that at least solves or partially solves at least one problem, or other problems, present in the prior art.
An aspect of the present application provides an optical system including a lens barrel, and an optical element group and a spacer group disposed in the lens barrel, the optical element group including, in order from a first side to a second side along an optical axis, a first element group including a reflective polarizing element, a first quarter wave plate, and a first lens, a second element group including a second quarter wave plate and a second lens, a third element group including a third lens, and a fourth element group including a fourth lens; the spacer group comprises a third spacer which is arranged on the second side surface of the third lens and is contacted with the second side surface of the third lens; the length L of the lens barrel in the direction of the optical axis and the total effective focal length f of the optical system meet the following conditions: L/F <1.5, and the effective focal length F3 of the third element group, the effective focal length F4 of the fourth element group, the inner diameter d3s of the first side of the third spacer and the inner diameter d3m of the second side of the third spacer satisfy: 0< F3/d3s+F4/d3m <5.0.
According to an exemplary embodiment of the present application, the spacer group further includes a first spacer disposed at and in contact with the second side surface of the first lens, wherein a radius of curvature R2 of the second side surface of the first lens, an inner diameter D1s of the first side surface of the first spacer, and an outer diameter D1s of the first side surface of the first spacer satisfy: -30.0< R2/(D1 s-D1 s) < -10.0.
According to an exemplary embodiment of the present application, the spacer group further includes a first spacer disposed at and in contact with the second side surface of the first lens, wherein an effective focal length F1 of the first element group, a refractive index N1 of the first lens, a refractive index NR of the reflective polarizing element, a refractive index NQ1 of the first quarter wave plate, an air interval T12 of the first element group and the second element group on the optical axis, and a maximum thickness CP1 of the first spacer satisfy: 10.0< F1× (N1+NR+NQ1)/(CP1+T12) <30.0.
According to an exemplary embodiment of the present application, the spacer group further includes a first spacer disposed on and in contact with the second side surface of the first lens, wherein a spacing EP01 of the first side end surface of the lens barrel and the first spacer along the optical axis, a center thickness CT1 of the first lens on the optical axis, an abbe number V1 of the first lens, an abbe number VR of the reflective polarizing element, an abbe number VQ1 of the first quarter wave plate, and a radius of curvature R2 of the second side surface of the first lens satisfy: -32.0< (EP 01+ CT 1) × (v1 + VR + VQ 1)/R2 < -22.0.
According to an exemplary embodiment of the present application, the spacer group further includes a first spacer disposed at and in contact with the second side of the first lens and a second spacer disposed at and in contact with the second side of the second lens, wherein an effective focal length F2 of the second element group, a center thickness CT2 of the second lens on the optical axis, a center thickness CTQ2 of the second quarter wave plate on the optical axis, an abbe number V2 of the second lens, and a spacing EP12 of the first spacer and the second spacer along the optical axis satisfy: -5.0< f 2/((EP 12+ CT2+ CTQ 2) x V2) <100.0.
According to an exemplary embodiment of the present application, the spacer group further includes a second spacer disposed at and in contact with the second side of the second lens, wherein an effective focal length F3 of the third element group, an abbe number V2 of the second lens, an abbe number V3 of the third lens, an air interval T23 of the second element group and the third element group on the optical axis, and a maximum thickness CP2 of the second spacer satisfy: 0< (V3-V2) × (CP2+T23)/F3 <5.0.
According to an exemplary embodiment of the present application, the spacer group further includes a second spacer disposed at and in contact with the second side of the second lens, wherein an effective focal length F3 of the third element group, a refractive index N2 of the second lens, a refractive index N3 of the third lens, an inner diameter d2m of the second side of the second spacer, and an inner diameter d3m of the second side of the third spacer satisfy: 1.0< (N2+N3) × (d2m+d3m)/F3 <5.0.
According to an exemplary embodiment of the present application, the spacer group further includes a second spacer disposed at and in contact with the second side of the second lens, wherein a radius of curvature R6 of the second side of the third lens, a radius of curvature R8 of the second side of the fourth lens, an air interval T34 of the third element group and the fourth element group on the optical axis, an interval EP23 of the second spacer and the third spacer along the optical axis, and a maximum thickness CP3 of the third spacer satisfy: -25.0< (r6+r8)/(t34+ep23+cp 3) < -5.0.
According to an exemplary embodiment of the present application, the spacer group further includes a second spacer disposed at and in contact with the second side of the second lens, wherein an effective focal length F2 of the second element group, a radius of curvature R4 of the second side of the second lens, a radius of curvature R5 of the first side of the third lens, an outer diameter D2m of the second side of the second spacer, and an outer diameter D3m of the second side of the third spacer satisfy: f2/(r4+r5) -F2/(d2m+d3m) <5.0.
According to an exemplary embodiment of the present application, the effective focal length F3 of the third element group, the radius of curvature R6 of the second side of the third lens, the inner diameter D3s of the first side of the third spacer and the outer diameter D3s of the first side of the third spacer satisfy: -3.0< (F3/R6) × (D3 s/D3 s) <0.
According to an exemplary embodiment of the present application, the effective focal length F4 of the fourth element group, the radius of curvature R8 of the second side surface of the fourth lens, the inner diameter D0m of the second side end surface of the lens barrel, and the outer diameter D0m of the second side end surface of the lens barrel satisfy: -7.0mm < - (D0 m-D0 m)/(F4/R8) < -2.0mm.
According to an exemplary embodiment of the present application, an inner diameter d0s of the first side end surface of the lens barrel, a minimum inner diameter d0 of the lens barrel min The total effective focal length f of the optical system is as follows: 3.0<(d0s+d0 min )/f<6.0。
According to an exemplary embodiment of the present application, the radius of curvature R8 of the second side surface of the fourth lens, the center thickness CT4 of the fourth lens on the optical axis, and the interval EP30 along the optical axis between the third spacer and the second side end surface of the lens barrel satisfy: -5.0< R8/(EP 30+ CT 4) < -2.0.
According to an exemplary embodiment of the present application, at least two sides of the first side and the second side of the first lens, the second lens are configured as a plane.
The optical system provided by the application is configured as a catadioptric optical system, and the length of the body of the optical system can be within a reasonable level under the condition that the optical system meets an imaging focal length by restraining the ratio of the length of the lens barrel in the direction of the optical axis to the total effective focal length of the optical system, so that the miniaturization of the optical system is facilitated; meanwhile, the ratio of the effective focal length of the third element group to the inner diameter of the first side surface of the third spacer and the ratio of the effective focal length of the fourth element group to the inner diameter of the second side surface of the third spacer are controlled to indirectly control the ratio of the effective focal length of the first element group and the second element group to the total effective focal length of the optical system, so that the focal power of each lens in the optical system can be reasonably distributed, the architecture of the optical system can be reasonably selected, and in addition, the application can restrict light beams by controlling the inner diameters of the first side surface and the second side surface of the third spacer, and further, the influence of stray light can be reduced under the condition that the optical system obtains the view angle meeting the design requirement.
Drawings
Other features, objects and advantages of the present application will become more apparent upon reading of the detailed description of non-limiting embodiments, made with reference to the accompanying drawings in which:
fig. 1 shows a schematic structural view of an optical system according to the present application;
fig. 2 shows a schematic configuration of an optical system according to embodiment 1 of the present application;
fig. 3 shows a schematic configuration of an optical system according to embodiment 2 of the present application;
fig. 4A to 4C show on-axis chromatic aberration curves, astigmatism curves, and distortion curves of the optical systems according to embodiments 1, 2, respectively;
fig. 5 shows a schematic configuration diagram of an optical system according to embodiment 3 of the present application;
fig. 6 shows a schematic structural view of an optical system according to embodiment 4 of the present application;
fig. 7A to 7C show on-axis chromatic aberration curves, astigmatism curves, and distortion curves of the optical systems according to embodiments 3, 4, respectively;
fig. 8 shows a schematic structural view of an optical system according to embodiment 5 of the present application;
fig. 9 shows a schematic configuration of an optical system according to embodiment 6 of the present application;
fig. 10A to 10C show on-axis chromatic aberration curves, astigmatism curves, and distortion curves of the optical systems according to embodiments 5, 6, respectively;
Fig. 11 shows a schematic structural view of an optical system according to embodiment 7 of the present application;
fig. 12 shows a schematic configuration diagram of an optical system according to embodiment 8 of the present application; and
fig. 13A to 13C show on-axis chromatic aberration curves, astigmatism curves, and distortion curves of the optical systems according to embodiments 7, 8 of the present application, respectively.
Detailed Description
For a better understanding of the application, various aspects of the 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 application and is not intended to limit the scope of the application in any way. Like reference numerals refer to like elements throughout the specification.
It should be noted that in the present specification, the expressions of first, second, third, etc. are only used to distinguish one feature from another feature, and do not represent any limitation on the feature. Accordingly, a first lens discussed below may also be referred to as a second lens or a third 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. Specifically, 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 closest to the first side (e.g., the human eye side) is referred to as the first side of the lens, and the surface of each lens closest to the second side (e.g., the display side) is referred to as the second 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 describing embodiments of the application, use of "may" means "one or more embodiments of the 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, without conflict, the embodiments of the present application and features of the embodiments may be combined with each other. The application will be described in detail below with reference to the drawings in connection with embodiments.
The features, principles, and other aspects of the present application are described in detail below.
Referring to fig. 1, a first aspect of the present application provides an optical system that may include a lens barrel and an optical element group disposed within the lens barrel, and the optical element group may include a first element group, a second element group, a third element group, and a fourth element group sequentially arranged along an optical axis from a first side to a second side. The first element group may include a reflective polarizing element, a first quarter wave plate, and a first lens. The second element group may include a second quarter wave plate and a second lens. The third element group may include a third lens. The fourth element group may include a fourth lens. Adjacent ones of the first through fourth element groups may have an air space therebetween.
In an exemplary embodiment, the optical system may further include a spacer group disposed within the lens barrel, and the spacer group may include one or more of a first spacer, a second spacer, and a third spacer. Wherein the first spacer may be disposed on and at least partially in contact with the second side of the first lens; the second spacer may be disposed on and at least partially in contact with the second side of the second lens; the third spacer may be disposed on and at least partially in contact with the second side of the third lens. The spacer is reasonably used, so that the stray light risk can be effectively avoided, the interference on the image quality is reduced, and the imaging quality of the optical system is further improved.
In an exemplary embodiment, the first side may be a human eye side and the second side may be a display side. Accordingly, the first side of each element (first lens, second lens, third lens, fourth lens, reflective polarizer, first quarter wave plate, second quarter wave plate) may be referred to as the near-eye side, and the second side may be referred to as the near-display side.
In an exemplary embodiment, the optical system may further include a diaphragm disposed between the first side and the first lens. The image light on the display is refracted and reflected for many times by the fourth lens, the third lens, the second quarter wave plate, the first lens, the first quarter wave plate, the reflective polarizing element and the like, and finally projected to eyes of a user.
In an exemplary embodiment, the second side of the optical system may be provided with an image surface, which may be provided with a display, for example. The image light from the display can sequentially pass through the fourth lens, the third lens, the second quarter wave plate, the first lens and the first quarter wave plate to reach the reflective polarizing element, and then be reflected at the reflective polarizing element to form first reflected image light. The first reflected image light passes through the first quarter wave plate, the first lens and reaches the partially reflective layer, and then is reflected at the partially reflective layer to form second reflected image light. The second reflected image light passes through the first lens, the first quarter wave plate, the reflective polarizing element to the diaphragm in sequence and finally is projected into eyes of a user. In other examples, the order in which the image light passes through the second lens and the second quarter wave plate may be interchanged in forming the first reflected image light. The optical system provided by the application folds the required optical path on the premise of not influencing the projection quality in a light reflection and refraction combined mode, and the length of the body of the optical system is effectively shortened.
In an exemplary embodiment, at least two of the first side and the second side of the first lens, the second lens are configured as planar surfaces. Wherein the first side of the first lens is configured to be planar, the first side or the second side of the second lens is configured to be planar, and the planar configured side of the second lens is provided with a second quarter wave plate. According to the optical system provided by the application, the first lens to the fourth lens are provided with two planes, and the aspheric designs of the third lens and the fourth lens are matched, so that the external visual field performance of the optical system can be improved.
The reflective polarizing element is bonded with the first quarter wave plate and forms a film layer, and the bonded film layer is attached to the first side face of the first lens, wherein the reflective polarizing element is located on the first side face of the first quarter wave plate. The reflective polarizing element and the first quarter wave plate are compounded together to form one film layer, so that the number of attached surfaces of the film layer can be reduced, the attaching yield of the film layer is improved, the compounded film layer is attached to a plane, the stability of the film layer after attachment is improved, and the external view field performance of an optical system is improved.
In an exemplary embodiment, the optical system may further include a partially reflective layer, which may be attached to the second side of the first lens, for example. The partially reflective layer has a transflective effect on light. The second side surface of the first lens is provided with the partial reflecting layer, and the reflecting polarizing element of the first side surface of the first lens and the first quarter wave plate are combined, so that light rays can be reflected repeatedly, and the length of the body of the optical system is effectively reduced.
In the exemplary embodiment, the length L of the lens barrel in the direction of the optical axis and the total effective focal length f of the optical system may satisfy: L/F <1.5, and the effective focal length F3 of the third element group, the effective focal length F4 of the fourth element group, the inner diameter d3s of the first side of the third spacer, and the inner diameter d3m of the second side of the third spacer may satisfy: 0< F3/d3s+F4/d3m <5.0. In an example, 1.0< L/F <1.4,2.0< F3/d3s+F4/d3m <4.0. The length of the lens barrel in the direction of the optical axis and the total effective focal length of the optical system are restrained, so that the length of the body of the optical system is in a reasonable level under the condition that the optical system meets the imaging focal length, and the miniaturization of the optical system is facilitated; meanwhile, the ratio of the effective focal length of the third element group to the inner diameter of the first side surface of the third spacer and the ratio of the effective focal length of the fourth element group to the inner diameter of the second side surface of the third spacer are controlled to indirectly control the ratio of the effective focal length of the first element group and the second element group to the total effective focal length of the optical system, so that the focal power of each lens in the optical system can be reasonably distributed, the architecture of the optical system can be reasonably selected, in addition, the application can restrict the light beam by controlling the inner diameters of the first side surface and the second side surface of the third spacer, and the influence of stray light can be reduced under the condition that the optical system obtains the view angle meeting the design requirement.
In an exemplary embodiment, the radius of curvature R2 of the second side of the first lens, the inner diameter D1s of the first side of the first spacer, and the outer diameter D1s of the first side of the first spacer may satisfy: -30.0< R2/(D1 s-D1 s) < -10.0. The ratio of the curvature radius of the second side surface of the first lens to the difference value of the inner diameter and the outer diameter of the first side surface of the first spacer is limited within a reasonable range, so that the center thickness of the first lens and the size of the first spacer are restrained, and the first lens and the first spacer are formed conveniently.
In an exemplary embodiment, the effective focal length F1 of the first element group, the refractive index N1 of the first lens, the refractive index NR of the reflective polarizing element, the refractive index NQ1 of the first quarter wave plate, the air interval T12 of the first element group and the second element group on the optical axis, and the maximum thickness CP1 of the first spacer may satisfy: 10.0< F1× (N1+NR+NQ1)/(CP1+T12) <30.0. By controlling the conditions, the center distance of the optical system and the chromatic dispersion quantity introduced by the first quarter wave plate can be restrained, and chromatic aberration of the optical system can be corrected; and meanwhile, the air interval between the first element group and the second element group on the optical axis is in a reasonable range by limiting the maximum thickness of the first spacer, so that the multiband light transmission capability of the optical system is improved.
In an exemplary embodiment, the interval EP01 of the first side end face of the lens barrel and the first spacer along the optical axis, the center thickness CT1 of the first lens on the optical axis, the dispersion coefficient V1 of the first lens, the dispersion coefficient VR of the reflective polarizing element, the dispersion coefficient VQ1 of the first quarter wave plate, and the radius of curvature R2 of the second side face of the first lens may satisfy: -32.0< (EP 01+ CT 1) × (v1 + VR + VQ 1)/R2 < -22.0. By controlling the conditional expression, the overall dimension of the first lens can be restrained, so that the effective focal length of the first lens is in a reasonable range, and meanwhile, the position of the first side end face of the lens barrel and the position of human eyes are in a reasonable condition by matching with the reasonable interval between the first side end face of the lens barrel and the first spacer along the optical axis, so that wearing comfort of a user is improved; in addition, the dispersion coefficients of the first lens, the reflective polarizing element and the first quarter wave plate can be limited, so that the second side light ray can be bent, and the optical system can obtain a good field angle.
In an exemplary embodiment, the effective focal length F2 of the second element group, the center thickness CT2 of the second lens on the optical axis, the center thickness CTQ2 of the second quarter wave plate on the optical axis, the dispersion coefficient V2 of the second lens, and the intervals EP12 of the first spacer and the second spacer along the optical axis may satisfy: -5.0< f 2/((EP 12+ CT2+ CTQ 2) x V2) <100.0. In examples, -5.0< f 2/((EP 12+ CT2+ CTQ 2) x V2) <0, or 90.0< f 2/((EP 12+ CT2+ CTQ 2) x V2) <100.0. By controlling the above conditions, the thickness of the second lens and the first spacer can be restrained, which is beneficial to improving the molding yield of the second lens and the first spacer; meanwhile, the dispersion coefficient of the second lens can be limited, so that the dispersion coefficients of other lenses of the optical system can be reasonably distributed, chromatic aberration of the optical system can be conveniently controlled, and the performance yield of the optical system is improved.
In an exemplary embodiment, the effective focal length F3 of the third element group, the abbe number V2 of the second lens, the abbe number V3 of the third lens, the air interval T23 of the second element group and the third element group on the optical axis, and the maximum thickness CP2 of the second spacer may satisfy: 0< (V3-V2) × (CP2+T23)/F3 <5.0. By controlling the above conditional expression, the optical power of the third lens can be made proportional to the air interval on the optical axis of the second element group and the third element group so as to restrict the focal length of the optical system by the air interval.
In an exemplary embodiment, the effective focal length F3 of the third element group, the refractive index N2 of the second lens, the refractive index N3 of the third lens, the inner diameter d2m of the second side surface of the second spacer, and the inner diameter d3m of the second side surface of the third spacer may satisfy: 1.0< (N2+N3) × (d2m+d3m)/F3 <5.0. The refractive index of the second lens, the refractive index of the third lens and the effective focal length of the third element group are restrained, so that the optical power of the second lens and the optical power of the third lens are at a reasonable level, and meanwhile, the inner diameters of the second side surfaces of the second spacer and the third spacer are matched reasonably, so that the focal length of the optical system can be in a certain range under the condition that the optical system obtains a large field angle, the overlong length of a body of the optical system is avoided, and the miniaturization of the optical system is facilitated.
In an exemplary embodiment, the radius of curvature R6 of the second side of the third lens, the radius of curvature R8 of the second side of the fourth lens, the air interval T34 of the third element group and the fourth element group on the optical axis, the interval EP23 of the second spacer and the third spacer along the optical axis, and the maximum thickness CP3 of the third spacer may satisfy: -25.0< (r6+r8)/(t34+ep23+cp 3) < -5.0. By controlling the conditional expression, the thickness of the third lens and the fourth lens can be in a reasonable range, and the forming of the third lens and the fourth lens is facilitated; meanwhile, the air interval of the third element group and the fourth element group on the optical axis, the edge thickness of the third lens and the maximum thickness of the third spacer can be restrained, so that the focal power of the third lens and the focal power of the fourth lens are in a reasonable range, and the good beam-converging performance of the optical system can be realized.
In an exemplary embodiment, the effective focal length F2 of the second element group, the radius of curvature R4 of the second side surface of the second lens, the radius of curvature R5 of the first side surface of the third lens, the outer diameter D2m of the second side surface of the second spacer, and the outer diameter D3m of the second side surface of the third spacer may satisfy: f2/(r4+r5) -F2/(d2m+d3m) <5.0. In an example, -140.0< F2/(r4+r5) -F2/(d2m+d3m) <5.0, or, 3.0< F2/(r4+r5) -F2/(d2m+d3m) <5.0. By controlling the above conditions, the optical powers of the second lens and the third lens can be reasonably distributed, and the overlong length of the body of the optical system is avoided under the condition that the optical system obtains a sufficient angle of view; and meanwhile, the outer diameters of the second side surfaces of the second spacer and the third spacer can be restrained, so that the oversized external dimensions of the second lens and the third lens are avoided, and the assembly stability of the optical system is improved.
In an exemplary embodiment, the effective focal length F3 of the third element group, the radius of curvature R6 of the second side surface of the third lens, the inner diameter D3s of the first side surface of the third spacer, and the outer diameter D3s of the first side surface of the third spacer may satisfy: -3.0< (F3/R6) × (D3 s/D3 s) <0. The effective focal length of the third element group and the curvature radius of the second side surface of the third lens are restrained, so that the light converging capacity of the third lens is at a reasonable level, the optical system is ensured to realize a large view field, and meanwhile, the inner diameter and the outer diameter of the first side surface of the third spacer are matched reasonably, so that the light converging capacity is improved, the convergence of a large view angle is increased, and the overlong length of the optical system body is avoided.
In an exemplary embodiment, the effective focal length F4 of the fourth element group, the radius of curvature R8 of the second side surface of the fourth lens, the inner diameter D0m of the second side end surface of the lens barrel, and the outer diameter D0m of the second side end surface of the lens barrel may satisfy: -7.0mm < - (D0 m-D0 m)/(F4/R8) < -2.0mm. The effective focal length of the fourth element group and the curvature radius of the second side face of the fourth lens are restrained, so that the light beam converging capability is improved, meanwhile, the inner diameter and the outer diameter of the second side end face of the lens barrel are matched reasonably, the size of the second side end face of the lens barrel is enabled to be as small as possible on the premise that the processability of the lens barrel and the fourth lens is ensured, the size of the whole machine at the position is further reduced, and the attractive appearance of the whole machine is ensured.
In an exemplary embodiment, the inner diameter d0s of the first side end surface of the lens barrel, the minimum inner diameter d0 of the lens barrel min The total effective focal length f with the optical system can be as follows: 3.0<(d0s+d0 min )/f<6.0. The total effective focal length of the optical system is restrained, so that the imaging quality of the optical system is improved, and meanwhile, the inner diameter of the first side end face of the lens barrel and the minimum inner diameter of the lens barrel are matched reasonably, so that the restraint of light beams is facilitated, and the influence of stray light in the lens barrel and on the lens structure part is reduced.
In an exemplary embodiment, the radius of curvature R8 of the second side surface of the fourth lens, the center thickness CT4 of the fourth lens on the optical axis, and the interval EP30 along the optical axis between the third spacer and the second side end surface of the lens barrel may satisfy: -5.0< R8/(EP 30+ CT 4) < -2.0. The shape and the size of the second side face of the fourth lens are restrained, so that the fourth lens is formed, meanwhile, the reasonable interval between the third spacer and the second side end face of the lens barrel along the optical axis is matched, the proportion of the axial distance of the optical system, which is relatively close to the second side part, to the whole length of the optical system is in a reasonable range, and the miniaturization of the optical system is facilitated.
The optical system according to the above embodiment of the present application may employ a plurality of lenses, for example, four lenses as described above. By reasonably distributing parameters of the reflective polarizing element, the first quarter wave plate, each lens, the lens barrel and each spacer, the length of the body of the optical system can be reduced, and the processability and imaging quality of the optical system can be improved. The optical system with the configuration has the characteristics of miniaturization, large field angle, good imaging quality and the like, and can well meet the use requirements of various portable electronic products in projection scenes.
In an embodiment of the present application, at least one of the surfaces of each of the first to fourth lenses is an aspherical surface. 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 during 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 scope of the application as claimed.
A second aspect of the present application provides an optical system that may include a lens barrel, and an optical element group and a spacer group disposed within the lens barrel. The optical element group may include a first element group, a second element group, a third element group, and a fourth element group sequentially arranged from the first side to the second side along the optical axis. The first element group may include a reflective polarizing element, a first quarter wave plate, and a first lens. The second element group may include a second quarter wave plate and a second lens. The third element group may include a third lens. The fourth element group may include a fourth lens. The spacer group may include a third spacer disposed on and at least partially in contact with the second side of the third lens.
Wherein the effective focal length F3 of the third element group, the radius of curvature R6 of the second side surface of the third lens, the inner diameter D3s of the first side surface of the third spacer, and the outer diameter D3s of the first side surface of the third spacer may satisfy: -3.0< (F3/R6) × (D3 s/D3 s) <0. The effective focal length of the third element group and the curvature radius of the second side surface of the third lens are restrained, so that the light converging capacity of the third lens is at a reasonable level, the optical system is ensured to realize a large view field, and meanwhile, the inner diameter and the outer diameter of the first side surface of the third spacer are matched reasonably, so that the light converging capacity is improved, the convergence of a large view angle is increased, and the overlong length of the optical system body is avoided.
A third aspect of the present application provides an optical system that may include a lens barrel, and an optical element group and a spacer group disposed within the lens barrel. The optical element group may include a first element group, a second element group, a third element group, and a fourth element group sequentially arranged from the first side to the second side along the optical axis. The first element group may include a reflective polarizing element, a first quarter wave plate, and a first lens. The second element group may include a second quarter wave plate and a second lens. The third element group may include a third lens. The fourth element group may include a fourth lens. The spacer group may include a third spacer disposed on and at least partially in contact with the second side of the third lens.
The radius of curvature R8 of the second side surface of the fourth lens, the center thickness CT4 of the fourth lens on the optical axis, and the interval EP30 between the third spacer and the second side end surface of the lens barrel along the optical axis may satisfy: -5.0< R8/(EP 30+ CT 4) < -2.0. The shape and the size of the second side face of the fourth lens are restrained, so that the fourth lens is formed, meanwhile, the reasonable interval between the third spacer and the second side end face of the lens barrel along the optical axis is matched, the proportion of the axial distance of the optical system, which is relatively close to the second side part, to the whole length of the optical system is in a reasonable range, and the miniaturization of the optical system is facilitated.
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. 2.
As shown in fig. 2, the optical system 100 includes a lens barrel, and an optical element group and a spacer group disposed within the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3. In this embodiment, the first side refers to the human eye side and the second side refers to the display side. The first side of each element (first lens E1, second lens E2, third lens E3, fourth lens E4, reflective polarizing element RP, first quarter wave plate QWP1 and second quarter wave plate QWP 2) is referred to as the near-eye side, and the second side is referred to as the near-display side.
The first lens E1 has positive optical power, its near-human-eye side surface S3 is a plane, the near-display side surface S4 is a convex surface, and a partially reflective layer BS is attached. The reflective polarizing element RP has a near-eye side S1 and a near-display side, the first quarter wave plate QWP1 has a near-eye side S2 and a near-display side, the near-display side of the reflective polarizing element RP is attached to the near-eye side S2 of the first quarter wave plate QWP1, and the near-display side of the first quarter wave plate QWP1 is attached to the near-eye side S3 of the first lens E1. The second lens E2 has positive optical power, and its near-human-eye side S6 is a plane and near-display side S7 is a convex surface. The second quarter wave plate QWP2 has a near-eye side S5 and a near-display side, which is attached to the near-eye side S6 of the second lens E2. The third lens E3 has positive power, and its near-eye side S8 is concave and near-display side S9 is convex. The fourth lens E4 has positive power, and its near-eye side S10 is convex and its near-display side S11 is convex.
In this example, the second side of the optical system may be provided with an image surface S14, and the image surface S14 may be provided with a display, for example. The optical system further comprises a third quarter wave plate QWP3, the third quarter wave plate QWP3 having a near-eye side S12 and a near-display side, the near-display side being attached to the near-eye side S13 of the display. After the image light from the display passes through the fourth lens E4, the third lens E3, the second lens E2, the second quarter wave plate QWP2, the first lens E1, the first quarter wave plate QWP1 in order and reaches the reflective polarizing element RP, the first reflection occurs at the reflective polarizing element RP. After the light reflected for the first time passes through the first quarter wave plate QWP1, the first lens E1, and reaches the partially reflective layer BS, the second reflection occurs at the partially reflective layer BS. The light reflected the second time passes through the first lens E1, the first quarter wave plate QWP1, the reflective polarizing element RP, and finally, the target object (not shown) in the projection space in this order. For example, the light reflected by the optical system twice is finally projected into eyes of a user.
Table 1 shows the basic parameter table of the optical system of example 1, in which the unit of radius of curvature, thickness/distance is millimeter (mm). Image light from the display passes through the elements in the order of number 20 to number 2 and is finally projected into the human eye.
TABLE 1
In the present embodiment, the near-display side S4 of the first lens E1, the near-display side S7 of the second lens E2, the near-eye side S8 and the near-display side S9 of the third lens E3, the near-eye side S10 and the near-display side S11 of the fourth lens E4 are all aspheric, and the surface profile x of each aspheric lens can be defined by, but not limited to, the following aspheric formula:
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 a conic coefficient; ai is the aspheric surfacei-th order correction coefficient. Table 2 shows the higher order coefficients A that can be used for the respective aspherical surfaces S4, S7-S11 in example 1 4 、A 6 、A 8 、A 10 、A 12 、A 14 、A 16 、A 18 、A 20 、A 22 、A 24 、A 26 、A 28 And A 30 。
TABLE 2
Example 2
An optical system according to embodiment 2 of the present application is described below with reference to fig. 3.
As shown in fig. 3, the optical system 200 includes a lens barrel, and an optical element group and a spacer group disposed within the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3.
The optical element group of this embodiment has the same structure as that of the optical element group of embodiment 1, that is, the basic parameter table of the optical system of this embodiment is the same as that of table 1, and the aspherical coefficient table is the same as that of table 2. This embodiment differs from embodiment 1 in that: the barrel, the first spacer P1, the second spacer P2, and the third spacer P3 are different in structural size. For example, the length L of the lens barrel in the direction of the optical axis, the first side of the first spacerAn inner diameter D1s, an outer diameter D1s of the first side surface of the first spacer, an inner diameter D2m of the second side surface of the second spacer, an outer diameter D2m of the second side surface of the second spacer, an inner diameter D3s of the first side surface of the third spacer, an outer diameter D3s of the first side surface of the third spacer, an inner diameter D3m of the second side surface of the third spacer, an outer diameter D3m of the second side surface of the third spacer, an inner diameter D0s of the first side end surface of the lens barrel, an inner diameter D0m of the second side end surface of the lens barrel, an outer diameter D0m of the second side end surface of the lens barrel, a minimum inner diameter D0 of the lens barrel min Parameters such as a spacing EP01 of the first side end face of the lens barrel and the first spacer along the optical axis, a maximum thickness CP1 of the first spacer, a spacing EP12 of the first spacer and the second spacer along the optical axis, a maximum thickness CP2 of the second spacer, a spacing EP23 of the second spacer and the third spacer along the optical axis, a maximum thickness CP3 of the third spacer, a spacing EP30 of the third spacer and the second side end face of the lens barrel along the optical axis, and the like are different.
Table 3 shows some basic parameters of the lens barrel, the first spacer P1, the second spacer P2, and the third spacer P3 of examples 1 and 2, such as L, D s, D1s, D2m, D2m, D3s, D3s, D3m, D3m, D0s, D0m, D0m, D0m min Some of the basic parameters listed in Table 3 were measured according to the labeling method shown in FIG. 1 and the basic parameters listed in Table 3 were all in millimeters (mm), EP01, CP1, EP12, CP2, EP23, CP3, EP30, etc.
TABLE 3 Table 3
Fig. 4A shows on-axis chromatic aberration curves of the optical systems of examples 1, 2, which represent the deviation of the converging focus after light rays of different wavelengths pass through the optical systems. Fig. 4B shows astigmatism curves of the optical systems of embodiments 1, 2, which represent meridional image surface curvature and sagittal image surface curvature corresponding to different angles of view. Fig. 4C shows distortion curves of the optical systems of examples 1, 2, which represent distortion magnitude values corresponding to different angles of view. As can be seen from fig. 4A to 4C, the optical systems according to embodiments 1 and 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.
As shown in fig. 5, the optical system 300 includes a lens barrel, and an optical element group and a spacer group disposed in the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3. In this embodiment, the first side refers to the human eye side and the second side refers to the display side. The first side of each element (first lens E1, second lens E2, third lens E3, fourth lens E4, reflective polarizing element RP, first quarter wave plate QWP1 and second quarter wave plate QWP 2) is referred to as the near-eye side, and the second side is referred to as the near-display side.
The first lens E1 has positive optical power, its near-human-eye side surface S3 is a plane, the near-display side surface S4 is a convex surface, and a partially reflective layer BS is attached. The reflective polarizing element RP has a near-eye side S1 and a near-display side, the first quarter wave plate QWP1 has a near-eye side S2 and a near-display side, the near-display side of the reflective polarizing element RP is attached to the near-eye side S2 of the first quarter wave plate QWP1, and the near-display side of the first quarter wave plate QWP1 is attached to the near-eye side S3 of the first lens E1. The second lens E2 has negative power, and its near-eye side S6 is a plane and near-display side S7 is a concave surface. The second quarter wave plate QWP2 has a near-eye side S5 and a near-display side, which is attached to the near-eye side S6 of the second lens E2. The third lens E3 has positive power, and its near-eye side S8 is convex and near-display side S9 is convex. The fourth lens E4 has positive power, and its near-eye side S10 is convex and its near-display side S11 is convex.
In this example, the second side of the optical system may be provided with an image surface S14, and the image surface S14 may be provided with a display, for example. The optical system further comprises a third quarter wave plate QWP3, the third quarter wave plate QWP3 having a near-eye side S12 and a near-display side, the near-display side being attached to the near-eye side S13 of the display. After the image light from the display passes through the fourth lens E4, the third lens E3, the second lens E2, the second quarter wave plate QWP2, the first lens E1, the first quarter wave plate QWP1 in order and reaches the reflective polarizing element RP, the first reflection occurs at the reflective polarizing element RP. After the light reflected for the first time passes through the first quarter wave plate QWP1, the first lens E1, and reaches the partially reflective layer BS, the second reflection occurs at the partially reflective layer BS. The light reflected the second time passes through the first lens E1, the first quarter wave plate QWP1, the reflective polarizing element RP, and finally, the target object (not shown) in the projection space in this order. For example, the light reflected by the optical system twice is finally projected into eyes of a user.
Table 4 shows the basic parameter table of the optical system of example 3, in which the unit of radius of curvature, thickness/distance is millimeter (mm). Image light from the display passes through the elements in the order of number 20 to number 2 and is finally projected into the human eye.
TABLE 4 Table 4
In the present embodiment, the near-display side S4 of the first lens E1, the near-display side S7 of the second lens E2, the near-human-eye side S8 and the near-display side S9 of the third lens E3, the near-human-eye side S10 and the near-display side S11 of the fourth lens E4 are all non-identicalAnd (3) a spherical surface. Table 5 shows the higher order coefficients A that can be used for each of the aspherical surfaces S4, S7-S11 in example 3 4 、A 6 、A 8 、A 10 、A 12 、A 14 、A 16 、A 18 、A 20 、A 22 、A 24 、A 26 、A 28 And A 30 。
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TABLE 5
Example 4
An optical system according to embodiment 4 of the present application is described below with reference to fig. 6.
As shown in fig. 6, the optical system 400 includes a lens barrel, and an optical element group and a spacer group disposed within the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3.
The optical element group of this embodiment has the same structure as that of the optical element group of embodiment 3, that is, the basic parameter table of the optical system of this embodiment is the same as table 4, and the aspherical coefficient table is the same as table 5. This embodiment differs from embodiment 3 in that: the barrel, the first spacer P1, the second spacer P2, and the third spacer P3 are different in structural size. For example, the length L of the lens barrel in the direction of the optical axis, the inner diameter d1s of the first side surface of the first spacer, the firstAn outer diameter D1s of the first side of the spacer, an inner diameter D2m of the second side of the second spacer, an outer diameter D2m of the second side of the second spacer, an inner diameter D3s of the first side of the third spacer, an outer diameter D3s of the first side of the third spacer, an inner diameter D3m of the second side of the third spacer, an outer diameter D3m of the second side of the third spacer, an inner diameter D0s of the first side end surface of the lens barrel, an inner diameter D0m of the second side end surface of the lens barrel, an outer diameter D0m of the second side end surface of the lens barrel, a minimum inner diameter D0 of the lens barrel min Parameters such as a spacing EP01 of the first side end face of the lens barrel and the first spacer along the optical axis, a maximum thickness CP1 of the first spacer, a spacing EP12 of the first spacer and the second spacer along the optical axis, a maximum thickness CP2 of the second spacer, a spacing EP23 of the second spacer and the third spacer along the optical axis, a maximum thickness CP3 of the third spacer, a spacing EP30 of the third spacer and the second side end face of the lens barrel along the optical axis, and the like are different.
Table 6 shows some basic parameters of the lens barrels, the first spacer P1, the second spacer P2, and the third spacer P3 of examples 3 and 4, such as L, D s, D1s, D2m, D2m, D3s, D3s, D3m, D3m, D0s, D0m, D0m, D0m min Some of the basic parameters listed in Table 6 were measured according to the labeling method shown in FIG. 1 and the basic parameters listed in Table 6 were all in millimeters (mm), EP01, CP1, EP12, CP2, EP23, CP3, EP30, etc.
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TABLE 6
Fig. 7A shows on-axis chromatic aberration curves of the optical systems of examples 3, 4, which represent the convergent focus deviation of light rays of different wavelengths after passing through the optical systems. Fig. 7B shows astigmatism curves of the optical systems of examples 3, 4, which represent meridional image surface curvature and sagittal image surface curvature corresponding to different angles of view. Fig. 7C shows distortion curves of the optical systems of examples 3, 4, which represent distortion magnitude values corresponding to different angles of view. As can be seen from fig. 7A to 7C, the optical systems according to embodiments 3 and 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. 8.
As shown in fig. 8, the optical system 500 includes a lens barrel, and an optical element group and a spacer group disposed within the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3. In this embodiment, the first side refers to the human eye side and the second side refers to the display side. The first side of each element (first lens E1, second lens E2, third lens E3, fourth lens E4, reflective polarizing element RP, first quarter wave plate QWP1 and second quarter wave plate QWP 2) is referred to as the near-eye side, and the second side is referred to as the near-display side.
The first lens E1 has positive optical power, its near-human-eye side surface S3 is a plane, the near-display side surface S4 is a convex surface, and a partially reflective layer BS is attached. The reflective polarizing element RP has a near-eye side S1 and a near-display side, the first quarter wave plate QWP1 has a near-eye side S2 and a near-display side, the near-display side of the reflective polarizing element RP is attached to the near-eye side S2 of the first quarter wave plate QWP1, and the near-display side of the first quarter wave plate QWP1 is attached to the near-eye side S3 of the first lens E1. The second lens E2 has negative power, and its near-eye side S6 is a plane and near-display side S7 is a concave surface. The second quarter wave plate QWP2 has a near-eye side S5 and a near-display side, which is attached to the near-eye side S6 of the second lens E2. The third lens E3 has positive power, and its near-eye side S8 is convex and near-display side S9 is convex. The fourth lens E4 has positive power, and its near-eye side S10 is convex and its near-display side S11 is convex.
In this example, the second side of the optical system may be provided with an image surface S14, and the image surface S14 may be provided with a display, for example. The optical system further comprises a third quarter wave plate QWP3, the third quarter wave plate QWP3 having a near-eye side S12 and a near-display side, the near-display side being attached to the near-eye side S13 of the display. After the image light from the display passes through the fourth lens E4, the third lens E3, the second lens E2, the second quarter wave plate QWP2, the first lens E1, the first quarter wave plate QWP1 in order and reaches the reflective polarizing element RP, the first reflection occurs at the reflective polarizing element RP. After the light reflected for the first time passes through the first quarter wave plate QWP1, the first lens E1, and reaches the partially reflective layer BS, the second reflection occurs at the partially reflective layer BS. The light reflected the second time passes through the first lens E1, the first quarter wave plate QWP1, the reflective polarizing element RP, and finally, the target object (not shown) in the projection space in this order. For example, the light reflected by the optical system twice is finally projected into eyes of a user.
Table 7 shows the basic parameter table of the optical system of example 5, in which the unit of radius of curvature, thickness/distance is millimeter (mm). Image light from the display passes through the elements in the order of number 20 to number 2 and is finally projected into the human eye.
TABLE 7
In the present embodiment, the near-display side S4 of the first lens E1, the near-display side S7 of the second lens E2, the near-eye side S8 and the near-display side S9 of the third lens E3, and the near-eye side S10 and the near-display side S11 of the fourth lens E4 are aspherical surfaces. Table 8 showsHigher order term coefficients A usable for the respective aspherical surfaces S4, S7-S11 in example 5 4 、A 6 、A 8 、A 10 、A 12 、A 14 、A 16 、A 18 、A 20 、A 22 、A 24 、A 26 、A 28 And A 30 。
Face number A4 A6 A8 A10 A12 A14 A16
S4 3.9853E-01 3.6868E-02 -2.3897E-02 -1.4437E-02 5.2343E-03 4.8731E-03 -4.1553E-04
S7 1.7625E+00 -2.4982E+00 8.3879E-01 9.2019E-02 3.8925E-03 -1.2092E-01 1.9140E-02
S8 5.5421E+00 -2.2720E+00 7.2018E-01 -5.5594E-02 9.8185E-02 -9.2562E-02 -1.4617E-02
S9 1.2405E+00 6.0795E-01 -1.8747E-01 -2.3203E-02 -2.5749E-01 1.8481E-01 -2.2571E-02
S10 -2.1849E+00 1.5124E+00 -2.5105E-01 1.2802E-01 -1.0776E-01 1.5629E-01 -1.6604E-01
S11 6.7664E+00 -5.6466E-01 5.3134E-01 -7.6836E-01 2.5238E-01 -6.0800E-02 1.3065E-01
Face number A18 A20 A22 A24 A26 A28 A30
S4 -2.0884E-03 6.0780E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
S7 2.5528E-02 -3.7337E-02 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
S8 1.2071E-03 -1.0614E-02 4.1488E-02 1.7877E-02 -9.5941E-03 -4.8533E-03 -2.2292E-03
S9 7.3176E-02 -4.1220E-02 9.7475E-02 -1.1009E-01 -6.8528E-03 3.2752E-02 -6.1950E-03
S10 6.2257E-02 3.7105E-02 9.0051E-02 -1.4378E-01 -4.9431E-02 6.4252E-02 7.7923E-03
S11 -1.6456E-01 5.5236E-02 4.7793E-02 2.1940E-02 -7.5710E-02 2.8269E-02 1.1505E-03
TABLE 8
Example 6
An optical system according to embodiment 6 of the present application is described below with reference to fig. 9.
As shown in fig. 9, the optical system 600 includes a lens barrel, and an optical element group and a spacer group disposed within the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3.
The optical element group of this embodiment has the same structure as that of the optical element group of embodiment 5, that is, the basic parameter table of the optical system of this embodiment is the same as table 7, and the aspherical coefficient table is the same as table 8. This embodiment differs from embodiment 5 in that: the barrel, the first spacer P1, the second spacer P2, and the third spacer P3 are different in structural size. For example, the length L of the lens barrel in the direction of the optical axis, the inner diameter D1s of the first side surface of the first spacer, the outer diameter D1s of the first side surface of the first spacer, the inner diameter D2m of the second side surface of the second spacer, the outer diameter D2m of the second side surface of the second spacer, the inner diameter D3s of the first side surface of the third spacer, the outer diameter D3s of the first side surface of the third spacer, the inner diameter D3m of the second side surface of the third spacer, the outer diameter D3m of the second side surface of the third spacer, the inner diameter D0s of the first side end surface of the lens barrel, the inner diameter D0m of the second side end surface of the lens barrel, the outer diameter D0m of the second side end surface of the lens barrel, the minimum inner diameter D0m of the lens barrel min Between the first side end face of the lens barrel and the first spacer along the optical axisThe parameters of the interval EP01, the maximum thickness CP1 of the first spacer, the interval EP12 of the first spacer and the second spacer along the optical axis, the maximum thickness CP2 of the second spacer, the interval EP23 of the second spacer and the third spacer along the optical axis, the maximum thickness CP3 of the third spacer, the interval EP30 of the third spacer and the second side end face of the lens barrel along the optical axis, and the like are different.
Table 9 shows some basic parameters of the lens barrel, the first spacer P1, the second spacer P2, and the third spacer P3 of examples 5 and 6, such as L, D s, D1s, D2m, D2m, D3s, D3s, D3m, D3m, D0s, D0m, D0m, D0m min Some of the basic parameters listed in Table 9 were measured according to the labeling method shown in FIG. 1, and all of the basic parameters listed in Table 9 were in millimeters (mm), EP01, CP1, EP12, CP2, EP23, CP3, EP30, etc.
TABLE 9
Fig. 10A shows on-axis chromatic aberration curves of the optical systems of examples 5, 6, which represent the convergent focus deviation of light rays of different wavelengths after passing through the optical systems. Fig. 10B shows astigmatism curves of the optical systems of examples 5, 6, which represent meridional image surface curvature and sagittal image surface curvature corresponding to different angles of view. Fig. 10C shows distortion curves of the optical systems of examples 5 and 6, which represent distortion magnitude values corresponding to different angles of view. As can be seen from fig. 10A to 10C, the optical systems according to embodiments 5 and 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. 11.
As shown in fig. 11, the optical system 700 includes a lens barrel, and an optical element group and a spacer group disposed in the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3. In this embodiment, the first side refers to the human eye side and the second side refers to the display side. The first side of each element (first lens E1, second lens E2, third lens E3, fourth lens E4, reflective polarizing element RP, first quarter wave plate QWP1 and second quarter wave plate QWP 2) is referred to as the near-eye side, and the second side is referred to as the near-display side.
The first lens E1 has positive optical power, its near-human-eye side surface S3 is a plane, the near-display side surface S4 is a convex surface, and a partially reflective layer BS is attached. The reflective polarizing element RP has a near-eye side S1 and a near-display side, the first quarter wave plate QWP1 has a near-eye side S2 and a near-display side, the near-display side of the reflective polarizing element RP is attached to the near-eye side S2 of the first quarter wave plate QWP1, and the near-display side of the first quarter wave plate QWP1 is attached to the near-eye side S3 of the first lens E1. The second lens E2 has negative power, and its near-eye side S6 is a plane and near-display side S7 is a concave surface. The second quarter wave plate QWP2 has a near-eye side S5 and a near-display side, which is attached to the near-eye side S6 of the second lens E2. The third lens E3 has positive power, and its near-eye side S8 is concave and near-display side S9 is convex. The fourth lens E4 has positive power, and its near-eye side S10 is concave and near-display side S11 is convex.
In this example, the second side of the optical system may be provided with an image surface S14, and the image surface S14 may be provided with a display, for example. The optical system further comprises a third quarter wave plate QWP3, the third quarter wave plate QWP3 having a near-eye side S12 and a near-display side, the near-display side being attached to the near-eye side S13 of the display. After the image light from the display passes through the fourth lens E4, the third lens E3, the second lens E2, the second quarter wave plate QWP2, the first lens E1, the first quarter wave plate QWP1 in order and reaches the reflective polarizing element RP, the first reflection occurs at the reflective polarizing element RP. After the light reflected for the first time passes through the first quarter wave plate QWP1, the first lens E1, and reaches the partially reflective layer BS, the second reflection occurs at the partially reflective layer BS. The light reflected the second time passes through the first lens E1, the first quarter wave plate QWP1, the reflective polarizing element RP, and finally, the target object (not shown) in the projection space in this order. For example, the light reflected by the optical system twice is finally projected into eyes of a user.
Table 10 shows the basic parameter table of the optical system of example 7, in which the unit of radius of curvature, thickness/distance is millimeter (mm). Image light from the display passes through the elements in the order of number 20 to number 2 and is finally projected into the human eye.
Table 10
In the present embodiment, the near-display side S4 of the first lens E1, the near-display side S7 of the second lens E2, the near-eye side S8 and the near-display side S9 of the third lens E3, and the near-eye side S10 and the near-display side S11 of the fourth lens E4 are aspherical surfaces. Table 11 shows the higher order coefficients A that can be used for each of the aspherical surfaces S4, S7-S11 in example 7 4 、A 6 、A 8 、A 10 、A 12 、A 14 、A 16 、A 18 、A 20 、A 22 、A 24 、A 26 、A 28 And A 30 。
Face number A4 A6 A8 A10 A12 A14 A16
S4 4.0017E-01 2.9386E-02 -2.1659E-02 -1.3859E-02 5.4608E-03 4.2744E-03 -5.5103E-04
S7 1.7575E+00 -2.4378E+00 8.2224E-01 9.0045E-02 -1.2067E-02 -1.2852E-01 1.7684E-02
S8 5.7081E+00 -2.2307E+00 7.0447E-01 -8.7826E-02 8.5295E-02 -9.7380E-02 -7.1900E-03
S9 1.2912E+00 6.4868E-01 -2.0322E-01 -4.0536E-02 -2.5076E-01 1.8791E-01 -2.0268E-02
S10 -1.1249E+00 1.4141E+00 -2.1631E-01 1.3206E-01 -9.7595E-02 1.6532E-01 -1.6258E-01
S11 6.8546E+00 -5.4365E-01 5.3568E-01 -7.6830E-01 2.5110E-01 -6.2553E-02 1.3107E-01
Face number A18 A20 A22 A24 A26 A28 A30
S4 -2.0190E-03 1.7068E-04 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
S7 2.4864E-02 -3.3764E-02 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
S8 2.7921E-03 1.7930E-03 4.9466E-02 1.6235E-02 -1.5635E-02 -7.7696E-03 -2.1536E-03
S9 6.7769E-02 -4.1022E-02 1.0253E-01 -1.1052E-01 -9.7613E-03 3.0456E-02 -4.1535E-03
S10 5.8768E-02 3.5340E-02 9.5911E-02 -1.4360E-01 -5.1471E-02 6.3893E-02 5.5005E-03
S11 -1.6520E-01 5.5943E-02 4.8244E-02 2.2513E-02 -7.6176E-02 2.8475E-02 1.0187E-03
TABLE 11
Example 8
An optical system according to embodiment 8 of the present application is described below with reference to fig. 12.
As shown in fig. 12, the optical system 800 includes a lens barrel, and an optical element group and a spacer group disposed inside the lens barrel. The optical element group includes a first element group, a second element group, a third element group, and a fourth element group arranged in order from a first side to a second side along the optical axis. The first element group includes a reflective polarizing element RP, a first quarter wave plate QWP1, and a first lens E1, and in other examples, the first element group further includes a partially reflective layer BS (not shown). The second element group includes a second quarter wave plate QWP2 and a second lens E2. The third element group includes a third lens E3. The fourth element group includes a fourth lens E4. The spacer group includes a first spacer P1, a second spacer P2, and a third spacer P3.
The optical element group of this embodiment has the same structure as that of the optical element group of embodiment 7, that is, the basic parameter table of the optical system of this embodiment is the same as table 10, and the aspherical parameter table is the same as table 11. This embodiment differs from embodiment 7 in that: the barrel, the first spacer P1, the second spacer P2, and the third spacer P3 are different in structural size. For example, the length L of the lens barrel in the direction of the optical axis, the inner diameter D1s of the first side surface of the first spacer, the outer diameter D1s of the first side surface of the first spacer, the inner diameter D2m of the second side surface of the second spacer, the outer diameter D2m of the second side surface of the second spacer, the inner diameter D3s of the first side surface of the third spacer, the outer diameter D3s of the first side surface of the third spacer, the inner diameter D3m of the second side surface of the third spacer, the outer diameter D3m of the second side surface of the third spacer, the inner diameter D0s of the first side end surface of the lens barrel, the inner diameter D0m of the second side end surface of the lens barrel, the outer diameter D0m of the second side end surface of the lens barrel, the minimum inner diameter D0m of the lens barrel min Parameters such as a spacing EP01 of the first side end face of the lens barrel and the first spacer along the optical axis, a maximum thickness CP1 of the first spacer, a spacing EP12 of the first spacer and the second spacer along the optical axis, a maximum thickness CP2 of the second spacer, a spacing EP23 of the second spacer and the third spacer along the optical axis, a maximum thickness CP3 of the third spacer, a spacing EP30 of the third spacer and the second side end face of the lens barrel along the optical axis, and the like are different.
Table 12 shows some basic parameters of the lens barrel, the first spacer P1, the second spacer P2, and the third spacer P3 of examples 7 and 8, such as L, D s, D1s, D2m, D2m, D3s, D3s, D3m, D3m, D0s, D0m, D0m, D0m min EP01, CP1, EP12, CP2, EP23, CP3, EP30, etc., and some of the basic parameters listed in Table 12 were measured according to the labeling method shown in FIG. 1, andand the basic parameters listed in table 12 are all in millimeters (mm).
Table 12
Fig. 13A shows on-axis chromatic aberration curves of the optical systems of examples 7, 8, which represent the convergent focus deviation of light rays of different wavelengths after passing through the optical systems. Fig. 13B shows astigmatism curves of the optical systems of examples 7, 8, which represent meridional image surface curvature and sagittal image surface curvature corresponding to different angles of view. Fig. 13C shows distortion curves of the optical systems of examples 7 and 8, which represent distortion magnitude values corresponding to different angles of view. As can be seen from fig. 13A to 13C, the optical systems according to embodiments 7 and 8 can achieve good imaging quality.
Table 13 gives the values of the basic parameters of each of examples 1 to 8.
Condition/example 1 2 3 4 5 6 7 8
f(mm) 13.94 13.94 14.27 14.27 13.96 13.96 14.06 14.06
F1(mm) 15.26 15.26 16.06 16.06 15.25 15.25 15.18 15.18
F2(mm) 10000.00 10000.00 -236.97 -236.97 -240.29 -240.29 -240.16 -240.16
F3(mm) 57.17 57.17 86.27 86.27 54.18 54.18 44.30 44.30
F4(mm) 22.61 22.61 17.15 17.15 21.38 21.38 24.52 24.52
FOV(°) 110.0 110.0 86.0 86.0 110.0 110.0 110.0 110.0
TABLE 13
In summary, table 14 shows the values of the conditional expressions of each of examples 1 to 8.
TABLE 14
The present application also provides an optical apparatus, which may be a stand-alone projection device such as a projector, or may be a projection module integrated on a mobile electronic device such as a virtual reality device. The optical device is equipped with the optical system described above.
The above description is only illustrative of the preferred embodiments of the present application and of the principles of the technology employed. It will be appreciated by persons skilled in the art that the scope of the application referred to in the present application is not limited to the specific combinations of the technical features described above, but also covers other technical features formed by any combination of the technical features described above or their equivalents without departing from the inventive concept. Such as the above-mentioned features and the technical features disclosed in the present application (but not limited to) having similar functions are replaced with each other.

Claims (10)

1. An optical system, comprising:
an optical element group including, in order from a first side to a second side along an optical axis, a first element group including a reflective polarizing element, a first quarter wave plate, and a first lens, a second element group including a second quarter wave plate and a second lens, a third element group including a third lens, and a fourth element group including a fourth lens;
A spacer group including a third spacer disposed on and in contact with the second side of the third lens;
a lens barrel in which the optical element group and the spacer group are disposed,
wherein, the length L of the lens barrel in the direction of the optical axis and the total effective focal length f of the optical system satisfy the following conditions: l/f <1.5, and
the effective focal length F3 of the third element group, the effective focal length F4 of the fourth element group, the inner diameter d3s of the first side surface of the third spacer, and the inner diameter d3m of the second side surface of the third spacer satisfy: 0< F3/d3s+F4/d3m <5.0.
2. The optical system of claim 1, wherein the spacer group further comprises a first spacer disposed on and in contact with the second side of the first lens,
wherein a radius of curvature R2 of the second side surface of the first lens, an inner diameter D1s of the first side surface of the first spacer, and an outer diameter D1s of the first side surface of the first spacer satisfy: -30.0< R2/(D1 s-D1 s) < -10.0.
3. The optical system of claim 1, wherein the spacer group further comprises a first spacer disposed on and in contact with the second side of the first lens,
Wherein an effective focal length F1 of the first element group, a refractive index N1 of the first lens, a refractive index NR of the reflective polarizing element, a refractive index NQ1 of the first quarter wave plate, an air interval T12 of the first element group and the second element group on the optical axis, and a maximum thickness CP1 of the first spacer satisfy: 10.0< F1× (N1+NR+NQ1)/(CP1+T12) <30.0.
4. The optical system of claim 1, wherein the spacer group further comprises a first spacer disposed on and in contact with the second side of the first lens,
wherein a spacing EP01 between the first side end surface of the lens barrel and the first spacer along the optical axis, a center thickness CT1 of the first lens on the optical axis, an abbe number V1 of the first lens, an abbe number VR of the reflective polarizing element, an abbe number VQ1 of the first quarter wave plate, and a curvature radius R2 of the second side surface of the first lens satisfy: -32.0< (EP 01+ CT 1) × (v1 + VR + VQ 1)/R2 < -22.0.
5. The optical system of claim 1, wherein the spacer group further comprises a first spacer disposed on and in contact with the second side of the first lens and a second spacer disposed on and in contact with the second side of the second lens,
Wherein an effective focal length F2 of the second element group, a center thickness CT2 of the second lens on the optical axis, a center thickness CTQ2 of the second quarter-wave plate on the optical axis, an abbe number V2 of the second lens, and a spacing EP12 of the first spacer and the second spacer along the optical axis satisfy: -5.0< f 2/((EP 12+ CT2+ CTQ 2) x V2) <100.0.
6. The optical system of claim 1, wherein the spacer group further comprises a second spacer disposed on and in contact with the second side of the second lens,
wherein an effective focal length F3 of the third element group, an abbe number V2 of the second lens, an abbe number V3 of the third lens, an air interval T23 of the second element group and the third element group on the optical axis, and a maximum thickness CP2 of the second spacer satisfy: 0< (V3-V2) × (CP2+T23)/F3 <5.0.
7. The optical system of claim 1, wherein the spacer group further comprises a second spacer disposed on and in contact with the second side of the second lens,
wherein an effective focal length F3 of the third element group, a refractive index N2 of the second lens, a refractive index N3 of the third lens, an inner diameter d2m of the second side surface of the second spacer, and an inner diameter d3m of the second side surface of the third spacer satisfy: 1.0< (N2+N3) × (d2m+d3m)/F3 <5.0.
8. The optical system of claim 1, wherein the spacer group further comprises a second spacer disposed on and in contact with the second side of the second lens,
wherein a radius of curvature R6 of the second side surface of the third lens, a radius of curvature R8 of the second side surface of the fourth lens, an air interval T34 of the third element group and the fourth element group on the optical axis, an interval EP23 of the second spacer and the third spacer along the optical axis, and a maximum thickness CP3 of the third spacer satisfy: -25.0< (r6+r8)/(t34+ep23+cp 3) < -5.0.
9. The optical system of claim 1, wherein the spacer group further comprises a second spacer disposed on and in contact with the second side of the second lens,
wherein an effective focal length F2 of the second element group, a radius of curvature R4 of the second side surface of the second lens, a radius of curvature R5 of the first side surface of the third lens, an outer diameter D2m of the second side surface of the second spacer, and an outer diameter D3m of the second side surface of the third spacer satisfy: f2/(r4+r5) -F2/(d2m+d3m) <5.0.
10. The optical system according to any one of claims 1-9, wherein an effective focal length F3 of the third element group, a radius of curvature R6 of the second side of the third lens, an inner diameter D3s of the first side of the third spacer, and an outer diameter D3s of the first side of the third spacer satisfy: -3.0< (F3/R6) × (D3 s/D3 s) <0.
CN202310982001.XA 2023-08-04 2023-08-04 Optical system Pending CN117031707A (en)

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