CN220154725U - Optical system - Google Patents
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- CN220154725U CN220154725U CN202321106137.6U CN202321106137U CN220154725U CN 220154725 U CN220154725 U CN 220154725U CN 202321106137 U CN202321106137 U CN 202321106137U CN 220154725 U CN220154725 U CN 220154725U
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- 230000003287 optical effect Effects 0.000 title claims abstract description 217
- 125000006850 spacer group Chemical group 0.000 claims description 70
- 230000004075 alteration Effects 0.000 description 25
- 238000003384 imaging method Methods 0.000 description 22
- 230000014509 gene expression Effects 0.000 description 9
- 238000007654 immersion Methods 0.000 description 6
- 238000002955 isolation Methods 0.000 description 6
- 238000010586 diagram Methods 0.000 description 5
- 201000009310 astigmatism Diseases 0.000 description 3
- 238000012937 correction Methods 0.000 description 3
- 238000002372 labelling Methods 0.000 description 3
- VZSRBBMJRBPUNF-UHFFFAOYSA-N 2-(2,3-dihydro-1H-inden-2-ylamino)-N-[3-oxo-3-(2,4,6,7-tetrahydrotriazolo[4,5-c]pyridin-5-yl)propyl]pyrimidine-5-carboxamide Chemical compound C1C(CC2=CC=CC=C12)NC1=NC=C(C=N1)C(=O)NCCC(N1CC2=C(CC1)NN=N2)=O VZSRBBMJRBPUNF-UHFFFAOYSA-N 0.000 description 1
- 239000013256 coordination polymer Substances 0.000 description 1
- 238000012938 design process Methods 0.000 description 1
- 239000006185 dispersion Substances 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000004907 flux Effects 0.000 description 1
- 230000003071 parasitic effect Effects 0.000 description 1
- 230000010287 polarization Effects 0.000 description 1
- 238000012545 processing Methods 0.000 description 1
- 230000035945 sensitivity Effects 0.000 description 1
- 230000001953 sensory effect Effects 0.000 description 1
- 238000012549 training Methods 0.000 description 1
- 238000002834 transmittance Methods 0.000 description 1
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Abstract
The application discloses an optical system, which comprises a lens barrel, and a first element group, a second element group and a third element group which are arranged in the lens barrel in sequence from a first side to a second side along an optical axis, wherein the first element group comprises a first lens and a reflective polarizing element; the second element group comprises a second lens and a quarter wave plate; the third element group comprises a third lens, and the refractive power sign of the third lens is positive; at least one of the first lens, the second lens, and the third lens has an aspherical surface; and an inner diameter of the first side end surface of the lens barrel is smaller than 45.0mm, and an inner diameter d0s of the first side end surface of the lens barrel, a total effective focal length f of the optical system and a maximum field angle FOV of the optical system satisfy: 2.0< d0 s/(f×tan (FOV/2)) <3.0.
Description
Technical Field
The application relates to the field of optical devices, in particular to a three-piece optical system.
Background
Virtual Reality (VR) technology is a technology that simulates a real scene through computer graphics, sound and other sensory inputs and provides a high level of immersion, and has great application prospects in the fields of entertainment, educational training, artistic culture, teleoffice collaboration, medical treatment, and the like. Among other things, the resolution of VR devices is an important factor affecting the user's immersion. However, in the practical design process of the optical system of the VR device, there may be irrational issues of the end face opening and the angle of view of the optical system, which may result in the optical system having poor resolution, and the irrational issue of the end face opening may result in an irrational radial dimension and a low degree of matching with the user, thereby affecting the immersion feeling of the user using the optical system.
Disclosure of Invention
The present utility model 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 utility model provides an optical system including a lens barrel, and first, second, and third element groups disposed within the lens barrel and sequentially arranged from a first side to a second side along an optical axis, wherein the first element group includes a first lens and a reflective polarizing element; the second element group comprises a second lens and a quarter wave plate; the third element group comprises a third lens, and the refractive power sign of the third lens is positive; at least one of the first lens, the second lens, and the third lens has an aspherical surface; and an inner diameter of the first side end surface of the lens barrel is smaller than 45.0mm, and an inner diameter d0s of the first side end surface of the lens barrel, a total effective focal length f of the optical system and a maximum field angle FOV of the optical system satisfy: 2.0< d0 s/(f×tan (FOV/2)) <3.0.
According to an exemplary embodiment of the present utility model, the inner diameter D0s of the first side end surface of the lens barrel, the outer diameter D0s of the first side end surface of the lens barrel, and the total effective focal length f of the optical system satisfy: 0.5<π×((D0s/2) 2 -(d0s/2) 2 )/f 2 <5.0。
According to an exemplary embodiment of the present utility model, the inner diameter D0s of the first side end surface of the lens barrel, the outer diameter D0s of the first side end surface of the lens barrel, and the length L of the lens barrel in the direction of the optical axis satisfy: 0.3< (D0 s-D0 s)/L <2.0.
According to an exemplary embodiment of the present application, the opening slope angle α of the lens barrel relatively close to the first side end face satisfies: 50.0 < alpha < 150.0.
According to an exemplary embodiment of the present application, the opening slope angle α of the lens barrel relatively close to the first side end face satisfies with the maximum field angle FOV of the optical system: 1.0< alpha/FOV <6.0.
According to an exemplary embodiment of the present application, the minimum inner diameter ds of the lens barrel and the total effective focal length f of the optical system satisfy: 1.0< ds/f <3.0.
According to an exemplary embodiment of the present application, the optical system further comprises a second spacer disposed on and in contact with the second side of the second lens, wherein the effective focal length f2 of the second element group, the refractive index N2 of the second lens, the refractive index N of the quarter wave plate Q The interval EP02 along the optical axis with the first side end face of the lens barrel and the second spacer satisfies: -35.0<f2×(N2+N Q )/EP02<30.0。
According to an exemplary embodiment of the present application, the optical system further includes a second spacer disposed at and in contact with the second side surface of the second lens, wherein a radius of curvature R3 of the first side surface of the second lens, a radius of curvature R4 of the second side surface of the second lens, an inner diameter D2s of the first side surface of the second spacer, and an outer diameter D2s of the first side surface of the second spacer satisfy: R3-R4/(d2s+D2s) <10.0.
According to an exemplary embodiment of the present application, the optical system further includes a second spacer disposed at and in contact with the second side surface of the second lens, and a center thickness CT3 of the third lens on the optical axis, 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: 1.0< CT3/(CP2+T23) <10.0.
According to an exemplary embodiment of the present application, the optical system 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, an effective focal length f3 of the third element group, an inner diameter d2s of the first side of the second spacer, and an inner diameter d2m of the second side of the second spacer satisfy: -5.0< f2/d2s-f3/d2m <0.
According to an exemplary embodiment of the present application, the optical system further includes 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 the second lens has an Abbe number V2 and an Abbe number V of the quarter wave plate Q The interval EP12 along the optical axis of the first spacer and the second spacer and the effective focal length f2 of the second element group satisfy: -5.0<(V2+V Q )×EP12/f2<0。
According to an exemplary embodiment of the present application, the optical system further includes a first spacer disposed on and in contact with the second side surface of the first lens, a center thickness CT1 of the first lens on the optical axis, a center thickness CT2 of the second lens on the optical axis, a refractive index N1 of the first lens, a refractive index N of the reflective polarizing element R And a first side of the lens barrelThe spacing EP01 between the end face and the first spacer along the optical axis satisfies: 3.0<(CT1+CT2)×(N1+N R )/EP01<6.0。
According to an exemplary embodiment of the present application, the optical system further comprises a first spacer disposed at and in contact with the second side of the first lens, wherein an effective focal length f1 of the first element group and an inner diameter d1s of the first side of the first spacer satisfy: 1.0< f1/d1s <3.0.
The optical system provided by the application is configured into a three-piece type foldback system, which can reasonably distribute the refractive power of each element group, reduce the length of projection equipment adopting the optical system, improve the aberration correction capability of the optical system and improve the imaging quality of the optical system; the application can also restrict the opening size of the first side end surface of the lens barrel within the range smaller than 45.0mm while ensuring the view angle of the optical system to meet the requirement, reduce the radial size of the opening of the first side end surface of the lens barrel so as to better match with eyes of a user, improve the resolution of the optical system and further enhance the immersion feeling of the user; in addition, the present application also improves spherical aberration of the optical system by configuring at least one surface of at least one of the first lens, the second lens, and the third lens as an aspherical surface, and corrects curvature of field and distortion aberration.
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 parametric diagram of an optical system according to the application;
fig. 2 shows a schematic configuration of an optical system of example 1 according to a first embodiment of the present application;
fig. 3 shows a schematic configuration of an optical system of example 2 according to a first embodiment of the present application;
fig. 4 shows a schematic structural view of an optical system of example 3 according to a first embodiment of the present application;
fig. 5A to 5C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of the optical system according to the first embodiment of the present application;
fig. 6 shows a schematic structural view of an optical system of example 1 according to a second embodiment of the present application;
fig. 7 shows a schematic configuration of an optical system of example 2 according to a second embodiment of the present application;
fig. 8 shows a schematic structural view of an optical system of example 3 according to a second embodiment of the present application;
fig. 9A to 9C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of an optical system according to a second embodiment of the present application;
Fig. 10 shows a schematic structural view of an optical system of example 1 according to a third embodiment of the present application;
fig. 11 shows a schematic structural view of an optical system of example 2 according to a third embodiment of the present application;
fig. 12 is a schematic view showing the structure of an optical system of example 3 according to a third embodiment of the present application; and
fig. 13A to 13C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of an optical system according to a third embodiment of the present application.
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.
As shown in fig. 2 to 4, 6 to 8, and 10 to 12, the optical system according to the exemplary embodiment of the present application may include a lens barrel, and a first element group, a second element group, and a third element group disposed within the lens barrel and sequentially arranged along an optical axis from a first side to a second side, wherein the first element group may include, for example, a first lens and a reflective polarizing element, the second element group may include, for example, a second lens and a quarter wave plate, and the third element group may include, for example, a third lens. The quarter wave plate is matched with the reflective polarizing element, so that the refraction and reflection of the light path can be realized, the length of the body of the optical system is reduced, and the volume of the optical system is reduced.
In an exemplary embodiment, the optical system may further include a partially reflective layer, which may be attached to, for example, the first side or the second side of the third lens. The partially reflective layer has a transflective effect on light.
In an exemplary embodiment, the first side may be, for example, a human eye side and the second side may be, for example, a display side. Accordingly, the first side of each element (first lens, second lens, third lens, reflective polarizing element, quarter wave plate, or partially reflective layer) 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 first side and/or the second side of the first lens is configured as a plane. The shape of the first lens is restrained, so that the assembling and attaching difficulty of the reflective polarizing element can be reduced, the light path refraction and reflection are conveniently realized, the length of the body of the optical system is reduced, and the miniaturization of the optical system is facilitated.
In an exemplary embodiment, at least one of the first lens, the second lens, and the third lens has an aspherical surface. By arranging at least one surface of at least one of the first lens, the second lens, and the third lens as an aspherical surface, spherical aberration of the optical system can be improved, and image surface curvature and distortion aberration can be corrected.
In an exemplary embodiment, the optical system may further include a second spacer disposed within the lens barrel, wherein the second spacer is disposed at and at least partially in contact with the second side of the second lens. The reasonable use of the spacer can effectively avoid the stray light risk, reduce the interference to the image quality, and further improve the imaging quality of the optical system.
In other examples, the optical system may further include a first spacer disposed within the barrel, wherein the first spacer is disposed on and at least partially in contact with the second side of the first lens.
In an exemplary embodiment, the optical system may further comprise a stop, which may be arranged, for example, between the first side and the first lens. The eyes of the user can watch the image projected by the display on the second side at the position of the diaphragm, namely, the image light on the display is finally projected to the eyes of the user after being refracted and reflected for a plurality of times by the third lens, the quarter wave plate, the second lens, the reflective polarizing element, the first lens and the like.
In an exemplary embodiment, the second side of the optical system may be provided with a display. The image light from the display may pass through the third lens, the quarter wave plate, the second lens in order, 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 second lens, the quarter wave plate, and reaches the partially reflective layer on the first side of the third lens, and then is reflected at the partially reflective layer to form second reflected image light. The second reflected image light passes through the quarter wave plate, the second lens, the reflective polarizing element, the first lens and the diaphragm in sequence (i.e. the position where the user's eyes watch the image). In other examples, the first reflected image light passes through the second lens, the quarter wave plate, the third lens, and reaches the partially reflective layer, and then is reflected at the partially reflective layer to form second reflected image light, which passes through the third lens, the quarter wave plate, the second lens, the reflective polarizing element, and the first lens to the stop (i.e., a position where the user's eyes view the image) in that order. 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, the refractive power sign of the third lens is positive. The inner diameter of the first side end surface of the lens barrel is smaller than 45.0mm, and the inner diameter d0s of the first side end surface of the lens barrel, the total effective focal length f of the optical system and the maximum field angle FOV of the optical system can meet the following conditions: 2.0< d0 s/(f×tan (FOV/2)) <3.0. The optical system provided by the application can reasonably distribute the refractive power of each element group, reduce the length of projection equipment adopting the optical system, improve the aberration correction capability of the optical system and improve the imaging quality of the optical system; the size of the opening of the first side end face of the lens barrel can be restrained within the range smaller than 45.0mm while the view angle of the optical system is ensured to meet the requirement, the radial size of the opening of the first side end face of the lens barrel is reduced, the lens barrel is better matched with eyes of a user, the resolution of the optical system is improved, and the immersion feeling of the user is further enhanced.
In an exemplary embodiment, the effective focal length f2 of the second element group, the refractive index N2 of the second lens, the refractive index N of the quarter wave plate Q The interval EP02 along the optical axis with the first side end face of the lens barrel and the second spacer can satisfy: -35.0<f2×(N2+N Q )/EP02<30.0. The effective focal length of the second element group can be limited by controlling the conditional expression, the shape of the second lens is effectively restrained, the processing and forming of the second lens are facilitated, the polarization state of light can be changed by the quarter wave plate, the refraction and reflection of the light path can be realized by the cooperation of the quarter wave plate and the reflective polarizing element, and therefore the length of a body of the optical system is reduced; meanwhile, the edge thickness of the first lens, the second lens and/or the first spacer can be controlled by limiting the interval between the first side end face of the lens barrel and the second spacer along the optical axis, so that the first lens, the second lens and/or the first spacer can be formed easily.
In an exemplary embodiment, the radius of curvature R3 of the first side of the second lens, the radius of curvature R4 of the second side of the second lens, the inner diameter D2s of the first side of the second spacer, and the outer diameter D2s of the first side of the second spacer may satisfy: R3-R4/(d2s+D2s) <10.0. In an example, 1.5< |r3-r4|/(d2s+d2s) <7.0. By controlling the conditional expression, the refractive power of the second element group can be limited, so that the distortion of the optical system is in a reasonable interval, the imaging quality of the optical system is improved, the surface type of the second lens is restrained to control the deflection angle of light at the second lens, and the sensitivity of the second lens is reduced; meanwhile, the inner diameter and the outer diameter of the first side face of the second isolation piece can be limited, the second lens and the second isolation piece are ensured to be stably supported, and the assembly stability of the optical system is improved.
In an exemplary embodiment, the center thickness CT3 of the third lens on the optical axis, 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: 1.0< CT3/(CP2+T23) <10.0. In an example, 1.2< ct3/(CP 2+ T23) <6.5. By controlling the conditional expression, the positions and the sizes of the second lens, the second isolating piece and the third lens in space can be reasonably distributed, so that the spherical aberration and the axial chromatic aberration introduced by the third lens can be controlled, and the ghost image risk caused by internal reflection of the third lens can be reduced.
In an exemplary embodiment, the second lens has an Abbe number V2, the quarter wave plate has an Abbe number V Q The interval EP12 along the optical axis of the first spacer and the second spacer and the effective focal length f2 of the second element group may satisfy: -5.0<(V2+V Q )×EP12/f2<0. In the example, -4.1<(V2+V Q )×EP12/f2<-2.5. By controlling the conditions, the contribution of the second lens and the quarter wave plate to the chromatic dispersion of the optical system can be reasonably distributed, and the color purity of the imaging of the optical system and the sharpness of the indirect imaging can be improved; meanwhile, the effective focal length of the second element group and the edge thickness of the second lens can be limited, the shape of the second lens is effectively restrained, the light ray trend is optimized, and the imaging quality of the optical system is improved.
In an exemplary embodiment, the inner diameter D0s of the first side end surface of the lens barrel, the outer diameter D0s of the first side end surface of the lens barrel, and the total effective focal length f of the optical system may satisfy: 0.5<π×((D0s/2) 2 -(d0s/2) 2 )/f 2 <5.0. In the example, 1.4<π×((D0s/2) 2 -(d0s/2) 2 )/f 2 <4.5. By controlling the conditional expression, the imaging size and the imaging position of the optical system can be restricted in a reasonable interval, and the immersion feeling of a user using the optical system can be improved.
In an exemplary embodiment, the inner diameter D0s of the first side end surface of the lens barrel, the outer diameter D0s of the first side end surface of the lens barrel, and the length L of the lens barrel in the direction of the optical axis may satisfy: 0.3< (D0 s-D0 s)/L <2.0. In an example, 0.5< (D0 s-D0 s)/L <1.0. By controlling the conditions, the inner diameter and the outer diameter of the first side end face of the lens barrel can be limited, so that the wall thickness of the first side end face of the lens barrel is in a reasonable interval, and the lens barrel is formed; meanwhile, the length of the lens barrel in the direction of the optical axis can be limited within a certain range, and the miniaturization of the optical system is facilitated.
In an exemplary embodiment, the effective focal length f2 of the second element group, the effective focal length f3 of the third element group, the inner diameter d2s of the first side surface of the second spacer, and the inner diameter d2m of the second side surface of the second spacer may satisfy: -5.0< f2/d2s-f3/d2m <0. In the example, -4.5< f2/d2s-f3/d2m < -3.0. By controlling the conditional expressions, the effective focal lengths of the second element group and the third element group can be respectively limited in a reasonable interval, and spherical aberration generated by the second element group and the third element group can be balanced with spherical aberration generated by other element groups in the optical system, so that the optical system has good imaging quality; meanwhile, the inner diameters of the first side face and the second side face of the second isolation piece can be restrained in a reasonable section, stray light of the optical system is improved, the second isolation piece is ensured to be stably supported by the second lens and the third lens respectively, and assembly stability of the optical system is improved.
In an exemplary embodiment, the center thickness CT1 of the first lens on the optical axis, the center thickness CT2 of the second lens on the optical axis, the refractive index N1 of the first lens, the refractive index N of the reflective polarizing element R The interval EP01 along the optical axis with the first side end face of the lens barrel and the first spacer may satisfy: 3.0 <(CT1+CT2)×(N1+N R )/EP01<6.0. By controlling the conditional expressions, the refractive powers of the first lens and the second lens can be reasonably distributed, the contribution of the aberrations of the two lenses can be controlled, the aberrations of the two lenses and the aberrations of other elements are balanced, and the aberrations of the optical system are ensured to be at a reasonable level; the refractive index and the center thickness of the first lens can be limited in a certain range, the refractive index of the reflective polarizing element is restrained, and the light transmittance of the optical system is at a reasonable level under the condition of ensuring the formability of the first lens, so that the imaging definition of the optical system is improved; the interval between the first side end face of the lens barrel and the first spacer along the optical axis can be limited, and the processability of the lens barrel is improved.
In an exemplary embodiment, the effective focal length f1 of the first element group and the inner diameter d1s of the first side surface of the first spacer may satisfy: 1.0< f1/d1s <3.0. In the example, 1.5.ltoreq.f1/d 1s <2.1. By controlling the conditional expression, the effective focal length of the first element group can be limited in a reasonable interval, and the spherical aberration generated by the first element group is balanced with the spherical aberration generated by other element groups in the optical system, so that the optical system has good imaging quality; and meanwhile, the inner diameter of the first side face of the first isolation piece can be limited, and the first isolation piece is shaped beneficially.
In an exemplary embodiment, the opening slope angle α of the lens barrel relatively close to the first side end surface may satisfy: 50.0 < alpha < 150.0. In an example, 75.0 ° < α+.125.0 °. The opening inclined plane angle of the lens barrel, which is relatively close to the end face of the first side, is limited, so that the clear aperture of the optical system can be restrained, the brightness of the optical system is ensured to be in a reasonable interval, and the comfort of a user for using the optical system for a long time is improved.
In an exemplary embodiment, the opening slope angle α of the lens barrel relatively close to the first side end surface and the maximum field angle FOV of the optical system may satisfy: 1.0< alpha/FOV <6.0. In an example, 1.1< α/FOV <2.0. By controlling the above conditions, the opening inclined plane angle of the lens barrel, which is relatively close to the end face of the first side, can be limited, so that the clear aperture of the optical system is restrained, the brightness of the optical system is ensured to be in a reasonable interval, and the comfort of a user in using the optical system for a long time is improved; and meanwhile, the maximum field angle of the optical system can be limited, so that the imaging range of the optical system can cover the whole photosensitive element, the imaging ring is prevented from being seen, and serious edge dark angles are avoided.
In an exemplary embodiment, the minimum inner diameter ds of the lens barrel and the total effective focal length f of the optical system may satisfy: 1.0< ds/f <3.0. In an example, 1.3< ds/f <2.0. By limiting the ratio of the minimum inner diameter of the lens barrel to the total effective focal length of the optical system, the light flux of the optical system can be in a reasonable interval, the imaging brightness of the optical system is ensured to be in a range acceptable to eyes of a user, and the comfort of the user in using the optical system is improved.
The optical system according to the above-described embodiment of the present application may employ a plurality of lenses and at least one spacer, for example, three lenses and one spacer or two spacers as described above. By reasonably distributing parameters of the lens barrel, the reflective polarizing element, the quarter wave plate, each lens and each spacer, the length of the body of the optical system can be reduced, the stray light phenomenon of the optical system can be improved, and the imaging quality of the optical system can be improved. The optical system with the configuration has the characteristics of miniaturization, less parasitic light, compact structure, 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 mirrors of each of the first to third lenses is an aspherical mirror. 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 and spacers making up the 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.
Specific examples of the optical system applicable to the above-described embodiments are further described below with reference to the drawings.
First embodiment
An optical system according to a first embodiment of the present application is described below with reference to fig. 2 to 5C. Fig. 2 shows a schematic configuration diagram of an optical system 110 of example 1 according to a first embodiment of the present application; fig. 3 shows a schematic structural view of an optical system 120 of example 2 according to the first embodiment of the present application; fig. 4 shows a schematic configuration of an optical system 130 according to example 3 of the first embodiment of the present application.
As shown in fig. 2 to 4, the optical system 110, 120, 130 includes a lens barrel P0, and a first element group, a second element group, and a third element group disposed in the lens barrel P0 and sequentially arranged from a first side to a second side along an optical axis. The first element group includes a first lens E1 and a reflective polarizing element RP. The second element group includes a second lens E2 and a quarter wave plate QWP. The third element group includes a third lens E3, and in other examples, the third element group may further include a partially reflective layer BS (not shown). The optical system may further include a second spacer P2. 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, reflective polarizing element RP, and quarter wave plate QWP) is referred to as the near-eye side, and the second side is referred to as the near-display side.
The near-eye side S1 and the near-display side S2 of the first lens E1 are both planar. The second lens E2 has positive refractive power, and its near-eye side S4 is convex and near-display side S5 is convex. The third lens E3 has positive refractive power, and has a concave near-eye side S7 and a convex near-display side S8. The reflective polarizer RP has a near-eye side and a near-display side S3, and the near-eye side is attached to the near-display side S2 of the first lens E1. The quarter wave plate QWP has a near-human eye side and a near-display side S6, which near-human eye side is attachable to the near-display side S5 of the second lens E2. The partially reflective layer BS may be attached to the near-eye side S7 of the third lens E3.
In this example, the second side of the optical system is provided with an image surface S9, and the image surface S9 may be provided with a display. After the image light from the display passes through the third lens E3, the quarter wave plate QWP, the second lens E2 in order and reaches the reflective polarizing element RP, the first reflection occurs at the reflective polarizing element RP. After the light reflected once passes through the second lens E2, the quarter wave plate QWP and reaches the partially reflective layer BS on the near-human eye side of the third lens E3, a second reflection occurs at the partially reflective layer BS. The light reflected the second time passes through the quarter wave plate QWP, the second lens E2, the reflective polarizing element RP, the first lens E1, 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 a basic parameter table of the optical system of the first embodiment, in which the unit of curvature radius, thickness/distance is millimeter (mm).
TABLE 1
In the present embodiment, the total effective focal length f of the optical system has a value of 13.15mm, the effective focal length f2 of the second element group has a value of 54.94mm, the effective focal length f3 of the third element group has a value of 159.34mm, and the half of the maximum field angle Semi-FOV of the optical system has a value of 35.0 °.
In the first embodiment, the near-eye side surface S4 and the near-display side surface S5 of the second lens E2, and the near-eye side surface S7 and the near-display side surface S8 of the third lens E3 are all aspherical surfaces, and the surface shape x of each aspherical lens can be defined by, but not limited to, the following aspherical 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 correction coefficient of the aspherical i-th order. Table 2 shows the higher order coefficients A that can be used for the aspherical mirror surfaces S4, S5, S7, S8 in the first embodiment 4 、A 6 、A 8 、A 10 、A 12 、A 14 、A 16 、A 20 、A 22 And A 24 。
| Face number | A4 | A6 | A8 | A10 | A12 |
| S4 | -4.5689E+00 | 2.1917E+00 | -8.2672E-01 | 1.5855E-01 | 6.7580E-02 |
| S5 | -4.0306E-01 | 1.7775E-01 | -1.0358E-02 | -6.6249E-03 | -5.2413E-03 |
| S7 | -4.7622E-01 | 6.2482E-03 | 1.9122E-03 | 1.2440E-03 | -2.8663E-05 |
| S8 | -3.1175E-01 | 6.7362E-03 | 3.0391E-03 | 6.6065E-03 | 1.2821E-03 |
| Face number | A14 | A16 | A20 | A22 | A24 |
| S4 | -1.5456E-03 | -3.6351E-02 | -7.3175E-05 | 1.1985E-07 | 2.9121E-08 |
| S5 | -1.7742E-03 | -1.9705E-05 | -1.0928E-06 | 0.0000E+00 | 0.0000E+00 |
| S7 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 |
| S8 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 | 0.0000E+00 |
TABLE 2
The optical systems 110, 120, and 130 in examples 1, 2, and 3 of the first embodiment are different in the structural dimensions of the lens barrel P0 and the spacer included. Table 3 shows some basic parameters of the lens barrel P0, the spacer, such as D1s, D2m, D2s, D0s, EP01, EP12, EP02, L, α, CP2, ds, and the like, of each example in the first embodiment. 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 measured in millimeters (mm).
TABLE 3 Table 3
Fig. 5A shows on-axis chromatic aberration curves of the optical systems 110, 120, and 130 of the first embodiment, which represent the convergent focus deviation of light rays of different wavelengths after passing through the optical systems 110, 120, and 130. Fig. 5B shows astigmatism curves of the optical systems 110, 120, and 130 of the first embodiment, which represent meridional image surface curvature and sagittal image surface curvature corresponding to different angles of view. Fig. 5C shows distortion curves of the optical systems 110, 120, and 130 of the first embodiment, which represent distortion magnitude values corresponding to different angles of view. As can be seen from fig. 5A to 5C, the optical systems 110, 120, and 130 according to the first embodiment can achieve good imaging quality.
Second embodiment
An optical system according to a second embodiment of the present application is described below with reference to fig. 6 to 9C. Fig. 6 shows a schematic structural diagram of an optical system 210 of example 1 according to a second embodiment of the present application; fig. 7 shows a schematic structural diagram of an optical system 220 of example 2 according to a second embodiment of the present application; fig. 8 shows a schematic structural diagram of an optical system 230 according to example 3 of the second embodiment of the present application.
As shown in fig. 6 to 8, the optical system 210, 220, 230 includes a lens barrel P0, and a first element group, a second element group, and a third element group disposed in the lens barrel P0 and sequentially arranged from a first side to a second side along an optical axis. The first element group includes a first lens E1 and a reflective polarizing element RP. The second element group includes a second lens E2 and a quarter wave plate QWP. The third element group includes a third lens E3, and in other examples, the third element group may further include a partially reflective layer BS (not shown). The optical system may further include a first spacer P1 and a second spacer P2. 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, reflective polarizing element RP, and quarter wave plate QWP) 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 refractive power, and its near-human-eye side S1 is convex and near-display side S2 is planar. The second lens E2 has a negative refractive power, and has a concave near-eye side S4 and a concave near-display side S5. The third lens E3 has positive refractive power, and has a convex near-eye side surface S7 and a convex near-display side surface S8. The reflective polarizer RP has a near-eye side and a near-display side S3, and the near-eye side is attached to the near-display side S2 of the first lens E1. The quarter wave plate QWP has a near-human eye side and a near-display side S6, which near-human eye side is attachable to the near-display side S5 of the second lens E2. The partially reflective layer BS may be attached to the near display side S8 of the third lens E3.
In this example, the second side of the optical system is provided with an image surface S9, and the image surface S9 may be provided with a display. After the image light from the display passes through the third lens E3, the quarter wave plate QWP, the second lens E2 in order and reaches the reflective polarizing element RP, the first reflection occurs at the reflective polarizing element RP. After the light reflected once passes through the second lens E2, the quarter wave plate QWP, the third lens E3 and reaches the partially reflective layer BS, a second reflection occurs at the partially reflective layer BS. The light reflected the second time passes through the third lens E3, the quarter wave plate QWP, the second lens E2, the reflective polarizing element RP, the first lens E1, 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 a basic parameter table of the optical system of the second embodiment, in which the unit of curvature radius, thickness/distance is millimeter (mm).
TABLE 4 Table 4
In this embodiment, the total effective focal length f of the optical system is 18.40mm, the effective focal length f1 of the first element group is 55.59mm, the effective focal length f2 of the second element group is-102.30 mm, the effective focal length f3 of the third element group is 50.96mm, and the half of the maximum field angle Semi-FOV of the optical system is 35.0 °.
In the second embodiment, the near-eye side surface S4 and the near-display side surface S5 of the second lens E2, and the near-eye side surface S7 and the near-display side surface of the third lens E3S8 is an aspheric surface. Table 5 shows the higher order coefficients A that can be used for the aspherical mirror surfaces S4, S5, S7, S8 in the second embodiment 4 、A 6 、A 8 、A 10 、A 12 、A 14 、A 16 And A 20 。
| Face number | A4 | A6 | A8 | A10 | A12 | A14 | A16 | A20 |
| S4 | 1.8698E+00 | -2.2390E-01 | 3.0356E-02 | -2.6764E-02 | 1.5301E-02 | -2.3687E-03 | 0.0000E+00 | 1.8698E+00 |
| S5 | 2.2666E+00 | -2.6616E-01 | 2.6185E-02 | -4.9176E-02 | 1.8551E-02 | -1.3268E-03 | -1.6676E-04 | 2.2666E+00 |
| S7 | -1.5332E+00 | 2.0392E-01 | -1.3379E-01 | -6.0260E-03 | -9.5070E-04 | 0.0000E+00 | 0.0000E+00 | -1.5332E+00 |
| S8 | -2.1592E-01 | 9.6586E-02 | -3.1165E-02 | 1.9019E-03 | 8.8640E-04 | 0.0000E+00 | 0.0000E+00 | -2.1592E-01 |
TABLE 5
The optical systems 210, 220, and 230 in examples 1, 2, and 3 of the second embodiment are different in the structural dimensions of the lens barrel P0 and the spacer included. Table 6 shows some basic parameters of the lens barrel P0, the spacer, such as D1s, D2m, D2s, D0s, EP01, EP12, EP02, L, α, CP2, ds, and the like, of each example in the second embodiment. 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 measured in millimeters (mm).
TABLE 6
Fig. 9A shows on-axis chromatic aberration curves of the optical systems 210, 220, and 230 of the second embodiment, which represent the convergent focus deviation of light rays of different wavelengths after passing through the optical systems 210, 220, and 230. Fig. 9B shows astigmatism curves of the optical systems 210, 220, and 230 of the second embodiment, which represent meridional image surface curvature and sagittal image surface curvature corresponding to different angles of view. Fig. 9C shows distortion curves of the optical systems 210, 220, and 230 of the second embodiment, which represent distortion magnitude values corresponding to different angles of view. As can be seen from fig. 9A to 9C, the optical systems 210, 220, and 230 according to the second embodiment can achieve good imaging quality.
Third embodiment
An optical system according to a third embodiment of the present application is described below with reference to fig. 10 to 13C. Fig. 10 shows a schematic structural view of an optical system 310 of example 1 according to a third embodiment of the present application; fig. 11 shows a schematic structural view of an optical system 320 according to example 2 of the third embodiment of the present application; fig. 12 shows a schematic configuration of an optical system 330 according to example 3 of the third embodiment of the present application.
As shown in fig. 10 to 12, the optical system 310, 320, 330 includes a lens barrel P0, and a first element group, a second element group, and a third element group disposed in the lens barrel P0 and sequentially arranged from a first side to a second side along an optical axis. The first element group includes a first lens E1 and a reflective polarizing element RP. The second element group includes a second lens E2 and a quarter wave plate QWP. The third element group includes a third lens E3, and in other examples, the third element group may further include a partially reflective layer BS (not shown). The optical system may further include a first spacer P1 and a second spacer P2. 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, reflective polarizing element RP, and quarter wave plate QWP) 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 refractive power, and its near-human-eye side S1 is convex and near-display side S2 is concave. The second lens E2 has a negative refractive power, and has a concave near-eye side S4 and a convex near-display side S5. The third lens E3 has positive refractive power, and has a convex near-eye side surface S7 and a convex near-display side surface S8. The reflective polarizer RP has a near-eye side and a near-display side S3, and the near-eye side is attached to the near-display side S2 of the first lens E1. The quarter wave plate QWP has a near-human eye side and a near-display side S6, which near-human eye side is attachable to the near-display side S5 of the second lens E2. The partially reflective layer BS may be attached to the near display side S8 of the third lens E3.
In this example, the second side of the optical system is provided with an image surface S9, and the image surface S9 may be provided with a display. After the image light from the display passes through the third lens E3, the quarter wave plate QWP, the second lens E2 in order and reaches the reflective polarizing element RP, the first reflection occurs at the reflective polarizing element RP. After the light reflected once passes through the second lens E2, the quarter wave plate QWP, the third lens E3 and reaches the partially reflective layer BS, a second reflection occurs at the partially reflective layer BS. The light reflected the second time passes through the third lens E3, the quarter wave plate QWP, the second lens E2, the reflective polarizing element RP, the first lens E1, 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 a basic parameter table of the optical system of the third embodiment, in which the unit of curvature radius, thickness/distance is millimeter (mm).
TABLE 7
In this embodiment, the total effective focal length f of the optical system is 22.80mm, the effective focal length f1 of the first element group is 71.59mm, the effective focal length f2 of the second element group is-96.26 mm, the effective focal length f3 of the third element group is 52.03mm, and the half of the maximum field angle Semi-FOV of the optical system is 35.0 °.
In the third embodiment, the near-display side surface S2 of the first lens E1, the near-eye side surface S4 of the second lens E2, the near-eye side surface S7 of the third lens E3, and the near-display side surface S8 are aspherical surfaces. Table 8 shows the higher order coefficients A that can be used for the aspherical mirror surfaces S2, S4, S7, S8 in the second embodiment 4 、A 6 、A 8 、A 10 、A 12 And A 14 。
| Face number | A4 | A6 | A8 | A10 | A12 | A14 |
| S2 | -5.3549E-01 | -4.2967E-02 | -5.2176E-03 | 6.5835E-04 | 3.0534E-04 | 0.0000E+00 |
| S4 | -3.7100E-01 | -1.0986E-01 | 9.6748E-03 | 5.9110E-03 | 1.5600E-02 | 5.5160E-03 |
| S7 | -2.6410E+00 | 1.2461E-01 | -9.3740E-03 | 5.1072E-02 | 3.0073E-03 | 0.0000E+00 |
| S8 | -3.0864E-01 | 3.9291E-02 | 7.4035E-03 | 1.7330E-02 | 2.8613E-03 | 0.0000E+00 |
TABLE 8
The optical systems 310, 320, and 330 in examples 1, 2, and 3 of the third embodiment are different in the structural dimensions of the lens barrel P0 and the spacer included. Table 9 shows some basic parameters of the lens barrel P0, the spacer, such as D1s, D2m, D2s, D0s, EP01, EP12, EP02, L, α, CP2, ds, and the like, of each example in the third embodiment. Some of the basic parameters listed in Table 9 were measured according to the labeling method shown in FIG. 1, and the basic parameters listed in Table 9 were all measured in millimeters (mm).
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TABLE 9
Fig. 13A shows on-axis chromatic aberration curves of the optical systems 310, 320, and 330 of the third embodiment, which represent the convergent focus deviation of light rays of different wavelengths after passing through the optical systems 310, 320, and 330. Fig. 13B shows astigmatism curves of the optical systems 310, 320, and 330 of the third embodiment, which represent meridional image plane curvature and sagittal image plane curvature corresponding to different angles of view. Fig. 13C shows distortion curves of the optical systems 310, 320, and 330 of the third embodiment, which represent distortion magnitude values corresponding to different angles of view. As can be seen from fig. 13A to 13C, the optical systems 310, 320, and 330 according to the third embodiment can achieve good imaging quality.
In summary, table 10 shows the values of the conditional expressions of the examples in the first to third embodiments.
| Condition/example | 1-1 | 1-2 | 1-3 | 2-1 | 2-2 | 2-3 | 3-1 | 3-2 | 3-3 |
| d0s/(f×tan(FOV/2)) | 2.98 | 2.98 | 2.98 | 2.82 | 2.82 | 2.74 | 2.15 | 2.15 | 2.15 |
| f2×(N2+N Q )/EP02 | 22.54 | 25.27 | 28.69 | -26.18 | -29.28 | -30.38 | -28.23 | -32.82 | -32.82 |
| |R3-R4|/(d2s+D2s) | 1.75 | 1.78 | 1.76 | 6.45 | 6.40 | 6.53 | 2.44 | 2.46 | 2.43 |
| CT3/(CP2+T23) | 5.37 | 6.31 | 2.30 | 4.90 | 2.74 | 2.51 | 1.30 | 6.09 | 6.09 |
| (V2+V Q )×EP12/f2 | / | / | / | -4.07 | -3.29 | -2.66 | -3.41 | -2.99 | -2.58 |
| π×((D0s/2) 2 -(d0s/2) 2 )/f 2 | 4.37 | 3.69 | 3.69 | 2.73 | 2.28 | 2.24 | 1.70 | 1.55 | 1.48 |
| (D0s-d0s)/L | 0.93 | 0.87 | 0.87 | 0.75 | 0.68 | 0.72 | 0.72 | 0.73 | 0.69 |
| f2/d2s-f3/d2m | -3.38 | -3.39 | -3.11 | -4.43 | -4.14 | -4.14 | -3.91 | -4.13 | -4.12 |
| (CT1+CT2)×(N1+N R )/EP01 | / | / | / | 4.85 | 5.14 | 5.80 | 3.91 | 4.69 | 5.61 |
| f1/d1s | / | / | / | 1.53 | 1.59 | 1.50 | 2.09 | 2.09 | 1.93 |
| α/FOV | 1.44 | 1.79 | 1.79 | 1.24 | 1.64 | 1.19 | 1.24 | 1.11 | 1.11 |
| ds/f | 1.87 | 1.92 | 1.92 | 1.82 | 1.82 | 1.80 | 1.38 | 1.42 | 1.42 |
Table 10
The present utility model also provides an optical apparatus that 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 VR/AR. The optical device is equipped with the optical system described above.
The above description is only illustrative of the preferred embodiments of the present utility model and of the principles of the technology employed. It will be appreciated by persons skilled in the art that the scope of the utility model referred to in the present utility model 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 utility model (but not limited to) having similar functions are replaced with each other.
Claims (13)
1. An optical system characterized by comprising a lens barrel, and a first element group, a second element group and a third element group which are arranged in the lens barrel in sequence from a first side to a second side along an optical axis, wherein,
the first element group comprises a first lens and a reflective polarizing element;
the second element group comprises a second lens and a quarter wave plate;
the third element group comprises a third lens, and the refractive power sign of the third lens is positive;
at least one of the first lens, the second lens, and the third lens has an aspherical surface; and
an inner diameter of the first side end surface of the lens barrel is smaller than 45.0mm, and an inner diameter d0s of the first side end surface of the lens barrel, a total effective focal length f of the optical system and a maximum field angle FOV of the optical system satisfy: 2.0< d0 s/(f×tan (FOV/2)) <3.0.
2. The optical system of claim 1, wherein an inner diameter D0s of the first side end surface of the lens barrel, an outer diameter D0s of the first side end surface of the lens barrel, and a total effective focal length f of the optical system satisfy: 0.5<π×((D0s/2) 2 -(d0s/2) 2 )/f 2 <5.0。
3. The optical system according to claim 1, wherein an inner diameter D0s of the first side end surface of the lens barrel, an outer diameter D0s of the first side end surface of the lens barrel, and a length L of the lens barrel in a direction in which the optical axis is located satisfy: 0.3< (D0 s-D0 s)/L <2.0.
4. The optical system of claim 1, wherein the barrel has an opening bevel angle α relatively close to the first side end face that satisfies: 50.0 < alpha < 150.0.
5. The optical system of claim 4, wherein the opening bevel angle α of the barrel relatively near the first side end face satisfies the maximum field angle FOV of the optical system: 1.0< alpha/FOV <6.0.
6. The optical system of claim 1, wherein a minimum inner diameter ds of the barrel and a total effective focal length f of the optical system satisfy: 1.0< ds/f <3.0.
7. The optical system of any one of claims 1 to 6, further comprising a second spacer disposed on and in contact with the second side of the second lens,
wherein the effective focal length f2 of the second element group, the refractive index N2 of the second lens, and the refractive index N of the quarter wave plate Q The interval EP02 between the first side end surface of the lens barrel and the second spacer along the optical axis satisfies: -35.0<f2×(N2+N Q )/EP02<30.0。
8. The optical system of any one of claims 1 to 6, further comprising a second spacer disposed on and in contact with the second side of the second lens,
Wherein a radius of curvature R3 of the first side surface of the second lens, a radius of curvature R4 of the second side surface of the second lens, an inner diameter D2s of the first side surface of the second spacer, and an outer diameter D2s of the first side surface of the second spacer satisfy: R3-R4/(d2s+D2s) <10.0.
9. The optical system of any one of claims 1 to 6, further comprising a second spacer disposed on and in contact with the second side of the second lens,
wherein a center thickness CT3 of the third lens on the optical axis, 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: 1.0< CT3/(CP2+T23) <10.0.
10. The optical system of any one of claims 1 to 6, further comprising a second spacer disposed on and in contact with the second side of the second lens,
wherein the effective focal length f2 of the second element group, the effective focal length f3 of the third element group, the inner diameter d2s of the first side surface of the second spacer, and the inner diameter d2m of the second side surface of the second spacer satisfy: -5.0< f2/d2s-f3/d2m <0.
11. The optical system of any one of claims 1 to 6, further comprising 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 the second lens has an Abbe number V2 and the quarter-wave plate has an Abbe number V Q The first separatorAnd an effective focal length f2 of the second element group and a spacing EP12 of the second spacer along the optical axis satisfy: -5.0<(V2+V Q )×EP12/f2<0。
12. The optical system of any one of claims 1 to 6, further comprising a first spacer disposed on and in contact with the second side of the first lens,
wherein the center thickness CT1 of the first lens on the optical axis, the center thickness CT2 of the second lens on the optical axis, the refractive index N1 of the first lens, and the refractive index N of the reflective polarizing element R The interval EP01 between the first side end surface of the lens barrel and the first spacer along the optical axis satisfies: 3.0 <(CT1+CT2)×(N1+N R )/EP01<6.0。
13. The optical system of any one of claims 1 to 6, further comprising a first spacer disposed on and in contact with the second side of the first lens,
wherein the effective focal length f1 of the first element group and the inner diameter d1s of the first side face of the first spacer satisfy: 1.0< f1/d1s <3.0.
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