CN220626779U - Virtual reality system - Google Patents

Virtual reality system Download PDF

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Publication number
CN220626779U
CN220626779U CN202322087889.9U CN202322087889U CN220626779U CN 220626779 U CN220626779 U CN 220626779U CN 202322087889 U CN202322087889 U CN 202322087889U CN 220626779 U CN220626779 U CN 220626779U
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lens
optical system
virtual reality
element group
optical axis
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梁宁
龚停停
张步康
张晓彬
王丽
金银芳
赵烈烽
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Zhejiang Sunny Optics Co Ltd
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Zhejiang Sunny Optics Co Ltd
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Abstract

The application discloses a virtual reality system, which comprises a visual optical system and a positioning optical system, wherein the visual optical system sequentially comprises a first element group, a second element group, a third element group and an image surface from a first side to a second side along a first optical axis, the first element group comprises a first lens, the second element group comprises a second lens with positive focal power, the third element group comprises a third lens with negative focal power, the visual optical system further comprises a reflective polarizing element and a quarter wave plate, and the reflective polarizing element and the quarter wave plate are respectively arranged in the first element group or the second element group; the positioning optical system sequentially comprises a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens and an eighth lens along a second optical axis from an object side to an image side, wherein the first lens has negative focal power, and the eighth lens has positive focal power.

Description

Virtual reality system
Technical Field
The present application relates to the field of optics, and in particular, to a virtual reality system.
Background
In a virtual reality system, the degree of human-machine interaction affects the immersion experience of the user. The spatial localization technique plays an important role in realizing the immersion characteristic of the virtual reality system. Currently, spatial positioning techniques can be categorized into outside-in positioning and inside-out positioning. The outside-in positioning means that the positioning is achieved by means of positioning means arranged in the external environment. Although this positioning technique is accurate, it involves a number of inconveniences due to the need for positioning means arranged in an external environment. Inside-out positioning refers to positioning by means of a positioning optical system that implements the configuration of the virtual reality system itself. The positioning technology does not need an additionally arranged positioning device, and becomes the currently mainstream space positioning technology.
The virtual reality system can immerse a user in the virtual world through the cooperation of the visual optical system and the positioning optical system, and how to optimize the visual optical system and the positioning optical system is one of technical problems that a person skilled in the art aims to solve.
Disclosure of Invention
The embodiment of the application provides a virtual reality system, which comprises a visual optical system and a positioning optical system, wherein the visual optical system sequentially comprises a first element group, a second element group, a third element group and an image surface from a first side to a second side along a first optical axis, the first element group comprises a first lens, the second element group comprises a second lens with positive focal power, the third element group comprises a third lens with negative focal power, the visual optical system further comprises a reflective polarizing element and a quarter wave plate, and the reflective polarizing element and the quarter wave plate are respectively arranged in the first element group or the second element group; the positioning optical system sequentially comprises a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens and an eighth lens from the object side to the image side along a second optical axis, wherein the first lens has negative focal power, the eighth lens has positive focal power, and the total effective focal length f of the visual optical system a The total effective focal length f of the positioning optical system is as follows: 9.0<f a /f<15.0; and the distance TTL from the first side surface of the first element group to the image surface on the first optical axis a The distance TTL between the object side surface of the first lens and the imaging surface of the positioning optical system on the second optical axis is as follows: 1.0<TTL a /TTL<1.5。
In some embodiments, the maximum half field angle Semi-FOV of the positioning optical system satisfies: semi-FOV > 100 °; maximum half field angle Semi-FOV of visual optical system a The method meets the following conditions: f (f) a ×tan(Semi-FOV a )>12.0mm。
In some embodiments, the entrance pupil diameter EPD of the positioning optical system satisfies: f/EPD<1.30; and a first side of the first element group to a second side of the third element groupDistance TD on the first optical axis a The method meets the following conditions: 0.3<TD a /f a <1.0。
In some embodiments, the first side of the first element group to the second side of the third element group are at a distance TD on the first optical axis a The distance TD between the object side surface of the first lens element and the image side surface of the eighth lens element on the second optical axis satisfies the following conditions: TD (time division) a /TD<1.5。
In some embodiments, the effective focal length f3 of the third lens a Refractive index N3 with third lens a The method meets the following conditions: -56.0mm<f3 a /N3 a <-50.0mm。
In some embodiments, the effective focal length f2 of the second lens a Radius of curvature R3 of the first side of the second lens a And a radius of curvature R4 of the second side of the second lens a The method meets the following conditions: -1.0 < f2 a /(R3 a +R4 a )≤0。
In some embodiments, the radius of curvature R5 of the first side of the third lens a Coefficient of dispersion V3 with third lens a The method meets the following conditions: -3.0mm < R5 a /V3 a <0mm。
In some embodiments, the first element group and the second element group are spaced apart by a distance T12 on the first optical axis a Center thickness CT2 of the second lens on the first optical axis a Refractive index N2 of the second lens a Effective focal length f2 of the second lens a The method meets the following conditions: 0<(T12 a +CT2 a )×N2 a /f2 a <1.0。
In some embodiments, the second lens has an Abbe's number V2 a The dispersion coefficient VR of the reflective polarizing element and the dispersion coefficient VQ of the quarter wave plate satisfy: 3.0mm -1 <1/3×(V2 a +VR+VQ)/f a <4.0mm -1
In some embodiments, the maximum effective radius DT31 of the first side of the third lens a Maximum effective radius DT32 with the second side of the third lens a The method meets the following conditions: 0.5<DT32 a /DT31 a <1.5。
In some embodiments, the center thickness CT1 of the first lens on the second optical axis, the separation distance T12 of the first lens and the second lens on the second optical axis, the center thickness CT2 of the second lens on the second optical axis, the separation distance T23 of the second lens and the third lens on the second optical axis, and the combined focal length f123 of the first lens, the second lens, and the third lens satisfy: -2.5< (cT1+t12+cT2+t23+cT3)/f123 < -0.5.
In some embodiments, the refractive index N1 of the first lens satisfies: n1 is more than 1.6; and the refractive index N2 of the second lens, the effective focal length f1 of the first lens, and the effective focal length f2 of the second lens satisfy: -1.5mm -1 <(N1+N2)/(f1-f2)<0mm -1
In some embodiments, the optical power of at least two of the fifth lens, the sixth lens, and the seventh lens is positive; and the combined focal length f567 of the fifth lens, the sixth lens, and the seventh lens, the effective focal length f5 of the fifth lens, the effective focal length f6 of the sixth lens, and the effective focal length f7 of the seventh lens satisfy: 0.5< f 567/(f5+f6-f 7) <1.5.
In some embodiments, the radius of curvature R1 of the object-side surface of the first lens, the radius of curvature R2 of the image-side surface of the first lens, the radius of curvature R3 of the object-side surface of the second lens, and the radius of curvature R4 of the image-side surface of the second lens satisfy: r1> R2> R4>0 and-2.0 < (R1+R2)/(R3+R4) <2.0.
In some embodiments, the first lens 'abbe number V1 and the second lens' abbe number V2 satisfy: V1/V2>0.85; and the separation distance T12 of the first lens and the second lens on the second optical axis satisfies: -3.5mm -1 <(V1-V2)/T12<3.0mm -1
In some embodiments, the distance TD on the second optical axis between half the diagonal length ImgH of the effective pixel region on the imaging plane and the object side surface of the first lens element to the image side surface of the eighth lens element satisfies the following conditions: 0< ImgH/TD <0.5.
The virtual reality system provided by the application is in a structural form that a visual optical system and a positioning optical system are combined. The visual optical system can adopt a three-lens framework, and the positioning optical system can adopt an eight-lens framework. The virtual immersion of the visual optical system is combined with the positioning function of the positioning optical system, the space limitation of the virtual reality system is broken through, and the interaction between the real world and the virtual world of the virtual optical system is realized.
By reasonably distributing optical parameters of each lens in the visual optical system and arranging the reflective polarizing element and the quarter wave plate, light rays in the visual optical system can be folded back for a plurality of times, the length of a body of the visual optical system is effectively reduced, the spherical aberration of the visual optical system can be minimized, and the trend of the light rays in the visual optical system is optimized. The optical parameters of the lenses in the positioning optical system are reasonably distributed, so that the balance and the correction of aberration of the positioning optical system are facilitated, and the positioning optical system has the characteristics of short focal length and large view field.
By constraining the total effective focal length f of the visual optical system a Ratio to total effective focal length f of positioning optical system, and distance TTL between first side surface of first element group and image surface on first optical axis is limited a The distance TTL between the object side surface of the first lens and the imaging surface of the positioning optical system on the second optical axis can reasonably distribute the sizes and optical performances of the visual optical system and the positioning optical system, ensure the compactness and integration of the virtual reality system and improve the optical performance of the virtual reality system.
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 following drawings, in which:
FIG. 1 shows a schematic diagram of a virtual reality system according to this application;
FIG. 2 shows a schematic structural diagram of a visual optical system according to embodiment 1 of the present application;
fig. 3A to 3C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of the visual optical system according to embodiment 1 of the present application;
FIG. 4 shows a schematic structural diagram of a visual optical system according to embodiment 2 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 visual optical system according to embodiment 2 of the present application;
FIG. 6 shows a schematic structural diagram of a visual optical system according to embodiment 3 of the present application;
Fig. 7A to 7C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of the visual optical system according to embodiment 3 of the present application;
fig. 8 shows a schematic structural view of a positioning optical system according to embodiment 4 of the present application;
fig. 9A to 9C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of the positioning optical system according to embodiment 4 of the present application;
fig. 10 shows a schematic structural view of a positioning optical system according to embodiment 5 of the present application;
fig. 11A to 11C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of the positioning optical system according to embodiment 5 of the present application;
fig. 12 shows a schematic structural view of a positioning optical system according to embodiment 6 of the present application;
fig. 13A to 13C show an on-axis chromatic aberration curve, an astigmatic curve, and a distortion curve, respectively, of the positioning optical system according to embodiment 6 of the present application;
fig. 14 shows a schematic structural view of a positioning optical system according to embodiment 7 of the present application; and
fig. 15A to 15C show an on-axis chromatic aberration curve, an astigmatism curve, and a distortion curve, respectively, of the positioning optical system according to embodiment 7 of the present application.
Detailed Description
For a better understanding of the present application, various aspects of the present application will be described in more detail with reference to the accompanying drawings. It should be understood that these detailed description are merely illustrative of exemplary embodiments of the application and are not intended to limit the scope of the application in any way. Like reference numerals refer to like elements throughout the specification.
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 and/or lenses have been slightly exaggerated for convenience of illustration. 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 and/or lens surface is convex and the convex location is not defined, then it is meant that the lens and/or lens surface is convex at least in the paraxial region; if the lens and/or lens surface is concave and the concave position is not defined, it is meant that the lens and/or lens surface is concave to at least the paraxial region. The surface of each lens closest to the first side (e.g., the 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 image side) is referred to as the second side of the lens. The surface of each lens closest to the object is referred to as the object side of the lens, and the surface of each lens closest to the imaging plane is referred to as the image side of the lens.
It will be further understood that the terms "comprises," "comprising," "includes," "including," "having," "containing," and/or "including," when used in this specification, specify the presence of stated features, elements, and/or components, but do not preclude the presence or addition of one or more other features, elements, components, and/or groups thereof. Furthermore, when describing embodiments of the present application, use of "may" means "one or more embodiments of the present application. Also, the term "exemplary" is intended to refer to an example or illustration.
Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
It should be noted that, in the case of no conflict, the embodiments and features in the embodiments may be combined with each other. The present application will be described in detail below with reference to the accompanying drawings in conjunction with embodiments.
The features, principles, and other aspects of the present application are described in detail below.
As shown in fig. 1, the virtual reality system 10 includes a visual optical system 11 and a positioning optical system 12. The positioning optical system 12 is used to capture the external environment of the virtual implementation system 10. The image of the external environment captured by the positioning optical system 12 is subjected to a visual algorithm (e.g., SLAM algorithm) to calculate the spatial position of the virtual reality system 10, so as to implement positioning of human-computer interaction. Based on the above positioning result, the visual optical system 11 can dynamically adjust the virtual image content of the image surface and project the virtual image into the eyes of the user, so that the user can feel as if he is in the scene. It should be noted that the number of the visual optical systems 11 may be one or more, and the number of the positioning optical systems 12 may be one or more. For example, the virtual reality system 10 may include two visual optical systems 11 symmetrically arranged.
The visual optical system comprises a first element group, a second element group, a third element group and an image surface which are sequentially arranged from a first side to a second side along a first optical axis. The first element group comprises a first lens, the second element group comprises a second lens with positive focal power, the third element group comprises a third lens with negative focal power, the visual optical system further comprises a reflective polarizing element and a quarter wave plate, and the reflective polarizing element and the quarter wave plate are respectively arranged in the first element group or the second element group.
In an exemplary embodiment, at least one of the first side and the second side of the second lens is convex to provide a primary positive power of the visual optical system. One of the first side and the second side of the third lens is convex, and the other is concave, and the spherical aberration of the visual optical system can be minimized by matching the negative focal power of the third lens. For example, the first side of the third lens is concave, and the second element group is matched to optimize the light ray direction of the visual optical system.
In an exemplary embodiment, the visual optical system may further include a partially reflective layer. For example, a partially reflective layer may be attached to the second side of the third lens. The second side surface of the third lens is provided with a partial reflecting layer, and the reflecting polarizing element and the quarter wave plate are combined, so that the light rays of the visual optical system are reflected for multiple times, and the length of the body of the visual optical system is effectively reduced.
In an exemplary embodiment, the reflective polarizing element is disposed in the first element group and the quarter wave plate is disposed in the second element group. For example, the second side of the first lens is a plane, and the reflective polarizing element is attached to the second side of the first lens. In another exemplary embodiment, the reflective polarizing element and the quarter wave plate are both disposed in the second element group, and the reflective polarizing element is bonded to the quarter wave plate to form one film layer. For example, the first side surface of the second lens is a plane, and the attached reflective polarizing element and the quarter-wave plate are attached to the first side surface of the second lens. The reflective polarizing element is attached to the plane, so that the difficulty of a film attaching process can be effectively reduced, and the film attaching efficiency is improved.
The positioning optical system comprises a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens and an eighth lens which are sequentially arranged from the object side to the image side along a second optical axis. The first lens has negative optical power, and the eighth lens has positive optical power. For example, adjacent two lenses of the first to eighth lenses may have an air space therebetween. The powers of the first lens and the eighth lens are set to negative and positive, respectively, to provide the primary power of the positioning optical system. By reasonably configuring the power and the surface shape of the second lens to the seventh lens, it is advantageous for the positioning optical system to balance and correct aberrations, so that the positioning optical system has characteristics of short focal length and large field of view.
In an exemplary embodiment, the second lens may have negative optical power, and an image side surface thereof may be concave. The third lens may have positive optical power. The fifth lens may have positive optical power, and an image side surface thereof may be convex.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: 9.0<f a /f<15.0 and 1.0<TTL a /TTL<1.5, wherein f a Is the total effective focal length of the visual optical system, f is the total effective focal length of the positioning optical system, TTL a The distance from the first side surface of the first element group to the image surface on the first optical axis, and the TTL is the distance from the object side surface of the first lens element to the imaging surface of the positioning optical system on the second optical axis. The virtual reality system satisfies 9.0<f a /f<15.0 and 1.0<TTL a /TTL<1.5, the reasonable distribution of the sizes and the optical performances of the visual optical system and the positioning optical system can be realized, the compactness and the integration of the virtual reality system are ensured, and the optical performances of the virtual reality system are improved.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: semi-FOV > 100 DEG and f a ×tan(Semi-FOV a )>12.0mm, wherein the Semi-FOV is the maximum half field angle of the positioning optical system, semi-FOV a Is the maximum half field angle f of the visual optical system a Is the total effective focal length of the visual optical system. The virtual reality system satisfies that the Semi-FOV is more than 100 degrees, can ensure that the positioning optical system has the performance of a large field of view, and is beneficial to quickly and accurately realizing the positioning function of the virtual reality system. The virtual reality system satisfies f a ×tan(Semi-FOV a )>12.0mm, and the total effective focal length of the visual optical system can be in a reasonable range under the condition of ensuring the field angle of the visual optical system.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: f/EPD <1.30 and 0.3<TD a /f a <1.0, wherein EPD is the entrance pupil diameter of the positioning optical system, TD a Is a first side of the first element group to a second side of the third element groupA distance on the optical axis f a Is the total effective focal length of the visual optical system. The virtual reality system satisfies f/EPD<1.30, the positioning optical system can be ensured to have the performance and the light flux of a large aperture, and the response of the positioning optical system to a high-speed shutter is facilitated. The virtual reality system satisfies 0.3<TD a /f a <1.0, the size of the visual optical system can be restrained, so that the structure of the visual optical system is more compact.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: TD (time division) a /TD<1.5, wherein TD a The distance between the first side of the first element group and the second side of the third element group on the first optical axis, and the distance between the object side of the first lens element and the image side of the eighth lens element on the second optical axis. The virtual reality system satisfies TD a /TD<1.5, the sizes of the visual optical system and the positioning optical system can be ensured to have reasonable proportion, and the virtual reality system is more compact on the whole.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: -56.0mm <f3 a /N3 a <-50.0mm, where f3 a Is the effective focal length of the third lens, N3 a Is the refractive index of the third lens. The virtual reality system meets-56.0 mm<f3 a /N3 a <50.0mm, proper screening of the third lens material and rational distribution of the optical power assumed by the third lens can be achieved.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: -1.0 < f2 a /(R3 a +R4 a ) Less than or equal to 0, wherein f2 a Is the effective focal length of the second lens, R3 a Is the radius of curvature of the first side of the second lens, R4 a Is the radius of curvature of the second side of the second lens. The virtual reality system satisfies that f2 is less than-1.0 a /(R3 a +R4 a ) And the lens is less than or equal to 0, positive focal power can be provided for the second lens, the shape of the second lens can be restrained, the overlarge curvature of the mirror surface is avoided, and the process performance of the lens is improved.
In an exemplary embodiment, according to the present disclosurePlease the virtual reality system can satisfy: -3.0mm < R5 a /V3 a < 0mm, wherein R5 a Is the radius of curvature of the first side of the third lens, V3 a Is the dispersion coefficient of the third lens. The virtual reality system satisfies R5 with the thickness of-3.0 mm a /V3 a The curvature radius of the first side surface of the third lens can be restricted less than 0mm, the proper screening of the third lens material can be realized, the overlarge curvature of the first side surface of the third lens can be avoided, and the process performance of the lens can be improved. More specifically, R5 a And V3 a Further can satisfy: -1.42mm < R5 a /V3 a <0mm。
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: 0<(T12 a +CT2 a )×N2 a /f2 a <1.0, wherein T12 a Is the distance between the first element group and the second element group on the first optical axis, CT2 a Is the center thickness of the second lens on the first optical axis, N2 a Is the refractive index of the second lens, f2 a Is the effective focal length of the second lens. Virtual reality system satisfies 0<(T12 a +CT2 a )×N2 a /f2 a <1.0, the center thickness, the position distribution and the material of the second lens can be optimized on the premise of ensuring the focal power. The condition can realize the main positive focal power of the visual optical system and the structural rationality of the second lens.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: 3.0mm -1 <1/3×(V2 a +VR+VQ)/f a <4.0mm -1 Wherein V2 a Is the dispersion coefficient of the second lens, VR is the dispersion coefficient of the reflective polarizing element, VQ is the dispersion coefficient of the quarter wave plate, f a Is the total effective focal length of the visual optical system. The virtual reality system satisfies 3.0mm -1 <1/3×(V2 a +VR+VQ)/f a <4.0mm -1 The whole dispersion amount of the visual optical system can be controlled, and the imaging quality of the visual optical system can be ensured.
In an exemplary embodiment, a virtual reality system according to the present applicationThe system can meet the following conditions: 0.5 <DT32 a /DT31 a <1.5, wherein DT31 a Is the maximum effective radius of the first side of the third lens, DT32 a Is the maximum effective radius of the second side of the third lens. The virtual reality system satisfies 0.5<DT32 a /DT31 a <1.5, the light height in the third lens can be controlled, the light trend is optimized, the resolution of the visual optical system is improved, and stray light generated due to overlarge light deflection angle can be avoided.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: -2.5< (CT 1+ T12+ CT2+ T23+ CT 3)/f123 < -0.5, wherein CT1 is the center thickness of the first lens on the second optical axis, T12 is the separation distance of the first lens and the second lens on the second optical axis, CT2 is the center thickness of the second lens on the second optical axis, T23 is the separation distance of the second lens and the third lens on the second optical axis, and f123 is the combined focal length of the first lens, the second lens and the third lens. The virtual reality system satisfies-2.5 < (CT1+T12+CT2+T23+CT3)/f123 < -0.5, and can realize reasonable distribution of the center thickness and the interval distance from the first lens to the third lens, ensure the integral focal power of the positioning optical system, and avoid unreasonable lens shape and structure.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: n1 > 1.6 and-1.5 mm -1 <(N1+N2)/(f1-f2)<0mm -1 Where N1 is the refractive index of the first lens, N2 is the refractive index of the second lens, f1 is the effective focal length of the first lens, and f2 is the effective focal length of the second lens. The virtual reality system satisfies: n1 > 1.6 and-1.5 mm -1 <(N1+N2)/(f1-f2)<0mm -1 The materials of the first lens and the second lens can be limited, the difference of refractive indexes of the first lens and the second lens is limited while the focal length of the lenses is ensured, and the reasonable configuration of the structures and the materials of the first lens and the second lens is facilitated.
In an exemplary embodiment, the optical power of at least two lenses of the fifth lens, the sixth lens, and the seventh lens is positive, and the virtual reality system according to this application can satisfy: 0.5< f 567/(f5+f6-f 7) <1.5, where f567 is a combined focal length of the fifth lens, the sixth lens, and the seventh lens, f5 is an effective focal length of the fifth lens, f6 is an effective focal length f6 of the sixth lens, and f7 is an effective focal length of the seventh lens. The virtual reality system satisfies the power configurations of the fifth lens to the seventh lens, and satisfies 0.5< f 567/(f5+f6-f 7) <1.5, which is beneficial to balancing and correcting aberrations of the positioning optical system and optimizing light ray trend of the positioning optical system.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: r1> R2> R4>0 and-2.0 < (R1+R2)/(R3+R4) <2.0, wherein R1 is the radius of curvature of the object side of the first lens, R2 is the radius of curvature of the image side of the first lens, R3 is the radius of curvature of the object side of the second lens, and R4 is the radius of curvature of the image side of the second lens. The virtual reality system satisfies R1> R2> R4>0 and-2.0 < (R1+R2)/(R3+R4) <2.0, can restrict the mirror surface morphology of the first lens and the second lens, avoids overlarge difference of mirror surface curvatures, and is favorable for reducing the processing difficulty and the assembly difficulty of the lenses.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: V1/V2>0.85 and-3.5 mm -1 <(V1-V2)/T12<3.0mm -1 Where V1 is the abbe number of the first lens, V2 is the abbe number of the second lens, and T12 is the separation distance of the first lens and the second lens on the second optical axis. The virtual reality system satisfies V1/V2>0.85 and-3.5 mm -1 <(V1-V2)/T12<3.0mm -1 The chromatic dispersion quantity introduced by the first lens and the second lens can be controlled, and chromatic aberration of the positioning optical system can be corrected.
In an exemplary embodiment, a virtual reality system according to the present application may satisfy: 0< ImgH/TD <0.5, where ImgH is half the diagonal length of the effective pixel region on the imaging plane, and TD is the distance on the second optical axis from the object side surface of the first lens element to the image side surface of the eighth lens element. The virtual reality system satisfies 0< ImgH/TD <0.5, the size of the positioning optical system can be controlled, the structure of the positioning optical system is more compact, and the applicability of the positioning optical system in the compact virtual reality system is improved.
In an exemplary embodiment, at least one of the surfaces of each of the first to third lenses is an aspherical surface. At least one of the surfaces of each of the first to eighth 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, it will be appreciated by those skilled in the art that the number of lenses making up the visual optical system and/or the number of lenses of the positioning optical system may be varied to achieve the various results and advantages described in this specification without departing from the technical solutions claimed herein. For example, although in the embodiment, the visual optical system is described by taking three lenses as an example and the positioning optical system is described by taking eight lenses as an example, the virtual reality system is not limited to including three lenses and/or eight lenses. The visual and positioning optics in the virtual reality system may also include other numbers of lenses and/or lenses, respectively, if desired.
Specific examples of the visual optical system applicable to the above-described embodiments are further described below with reference to the accompanying drawings.
Example 1
The following describes a visual optical system according to embodiment 1 of the present application with reference to fig. 2 to 3C.
As shown in fig. 2, the visual optical system 101 includes a first element group, a second element group, a third element group, and an image surface S9 (e.g., a display) sequentially arranged from a first side to a second side along a first optical axis. The first element group comprises a first lens E1 a And a reflective polarizing element RP, a first lens E1 a Has a first side S1 and a second side, and a reflective polarizerThe member RP has a first side S2 and a second side S3, and the first side S2 of the reflective polarizer RP is attached to the first lens E1 a Is provided. The second element group comprises a second lens E2 a And a quarter wave plate QWP, a second lens E2 a Having a first side S4 and a second side, the quarter wave plate QWP has a first side S5 and a second side S6, the first side S5 of the quarter wave plate QWP being attached to the second lens E2 a Is provided. The third element group comprises a third lens E3 a Third lens E3 a Having a first side S7 and a second side S8. For example, a third lens E3 a Is provided with a partially reflective layer BS (not shown).
First lens E1 a Is a plane, the first side S1 of the first lens E1 a The second side surface (i.e., the first side surface S2 of the reflective polarizing element RP) is a plane. Second lens E2 a Having positive optical power, a second lens E2 a The second side of the second lens (i.e., the first side S5 of the quarter wave plate QWP) is convex. Third lens E3 a Has negative optical power, and a third lens E3 a The first side S7 of the lens is concave, and the third lens E3 a Is convex.
In embodiment 1, the light from the image surface S9 sequentially passes through the third lens E3 a Quarter wave plate QWP, second lens E2 a And reaches the reflective polarizing element RP, and then first reflection occurs at the reflective polarizing element RP. The light after the first reflection sequentially passes through the second lens E2 a Quarter wave plate QWP, third lens E3 a And reach the third lens E3 a In the third lens E3 at the second side S8 of (2) a A second reflection takes place at the partially reflecting layer BS of the second side S8 of (b). The light reflected for the second time sequentially passes through the third lens E3 a Quarter wave plate QWP, second lens E2 a Reflection type polarizing element RP and first lens E1 a And reaches the human eye. The visual optical system 101 projects the light of the image surface S9 into the human eye by two reflections.
Table 1 shows the basic parameter table of the visual optical system of example 1, in which the unit of curvature radius, thickness/distance is millimeter (mm). The light from the image surface S9 passes through the elements in the order of the number 20 to the number 2 and is projected into the human eye.
TABLE 1
In example 1, a second lens E2 a Effective focal length f2 of (2) a 17.70mm, third lens E3 a Effective focal length f3 of (2) a The total effective focal length f of the visual optical system 101 is-91.24 mm a 18.36mm maximum half field angle Semi-FOV of visual optical system a A distance TTL between the first side surface S1 of the first element group and the image surface S9 on the first optical axis of 35.0 DEG a 14.17mm.
In example 1, a second lens E2 a And a second side (i.e., quarter wave plate QWP has a first side S5) and a second lens E3 a The first side S7 and the second side S8 of each aspherical lens are aspherical, 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 first 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. The higher order coefficients A4, A6, A8, a10, a12, a14, a16, a20, a22 and a24 that can be used for each of the aspherical surfaces S4, S5, S7 and S8 in example 1 are given in table 2.
Face number A4 A6 A8 A10 A12
S4 -9.39E-02 -8.58E-02 4.63E-02 1.48E-02 -2.20E-03
S7 4.89E-01 -2.97E-02 4.48E-02 -2.00E-02 -5.96E-03
S8 1.87E-01 7.99E-02 -2.75E-02 -6.41E-03 -8.40E-04
S9 1.94E-01 2.08E-02 -3.04E-02 3.78E-03 9.56E-04
Face number A14 A16 A20 A22 A24
S4 -2.69E-03 -3.15E-03 -1.22E-04 -7.10E-06 -4.40E-07
S7 -3.89E-04 2.49E-04 1.18E-06 0.00E+00 0.00E+00
S8 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
S9 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
TABLE 2
Fig. 3A shows an on-axis chromatic aberration curve of the visual optical system 101 of example 1, which indicates the convergent focus deviation of light rays of different wavelengths after passing through the visual optical system 101. Fig. 3B shows an astigmatism curve of the visual optical system 101 of embodiment 1, which represents a meridional image surface curvature and a sagittal image surface curvature corresponding to different angles of view. Fig. 3C shows a distortion curve of the visual optical system 101 of example 1, which represents distortion magnitude values corresponding to different angles of view. As can be seen from fig. 3A to 3C, the visual optical system 101 provided in embodiment 1 can achieve good imaging quality.
Example 2
A visual optical system according to a second embodiment of the present application is described below with reference to fig. 4 to 5C.
As shown in fig. 4, the visual optical system 201 includes a first element group, a second element group, a third element group, and an image surface S9 (e.g., a display) sequentially arranged from a first side to a second side along a first optical axis. The first element group comprises a first lens E1 a And a reflective polarizing element RP, a first lens E1 a Having a first side S1 and a second side, the reflective polarizing element RP has a first side S2 and a second side S3, and the first side S2 of the reflective polarizing element RP is attached to the first lens E1 a Is provided. The second element group comprises a quarter wave plate QWP and a second lens E2 a The quarter wave plate QWP has a first side S4 and a second side, a second lens E2 a The second side of the quarter wave plate QWP is attached to the second lens E2 with a first side S5 and a second side S6 a Is provided (a) is provided (S) a first side S5. The third element group comprises a third lens E3 a Third lens E3 a Having a first side S7 and a second side S8. For example, a third lens E3 a Is provided with a partially reflective layer BS (not shown).
First lens E1 a Having positive optical power, a first lens E1 a Is convex and the first side S1 of the first lens E1 a The second side surface (i.e., the first side surface S2 of the reflective polarizing element RP) is a plane. Second lens E2 a Having positive optical power, a second lens E2 a The first side S5 of the lens is a plane, and the second lens E2 a Is convex. Third lens E3 a Having negative optical power, a third lens E3 a The first side S7 of the lens is concave, and the third lens E3 a Is convex.
In embodiment 2, the light from the image surface S9 sequentially passes through the third lens E3 a Second lens E2 a After reaching the reflective polarizing element RP, the quarter wave plate QWP undergoes a first reflection at the reflective polarizing element RP. The light reflected for the first time passes through the quarter wave plate QWP and the second lens E2 in sequence a Third lens E3 a And reach the third lens E3 a In the third lens E3 at the second side S8 of (2) a A second reflection takes place at the partially reflecting layer BS of the second side S8 of (b). The light reflected for the second time sequentially passes through the third lens E3 a Second lens E2 a Quarter wave plate QWP, reflective polarizer RP and first lens E1 a And reaches the human eye. The visual optical system 201 projects the light of the image surface S9 into the human eye by two reflections.
In example 2, a first lens E1 a Effective focal length f1 of (2) a 176.24mm, second lens E2 a Effective focal length f2 of (2) a 16.74mm, a third lens E3 a Effective focal length f3 of (2) a The total effective focal length f of the visual optical system 201 is-87.41 mm a Maximum half field angle Semi-FOV of the visual optical system 201 of 17.03mm a A distance TTL between the first side surface S1 of the first element group and the image surface S9 on the first optical axis of 35.0 DEG a 14.65mm.
Table 3 shows a basic parameter table of the visual optical system 201 of example 2, in which the unit of curvature radius, thickness/distance is millimeter (mm). The light from the image surface S9 passes through the elements in the order of the number 20 to the number 2 and is projected into the human eye. Table 4 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 2, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
TABLE 3 Table 3
Face number A4 A6 A8 A10 A12 A14 A16 A20
S1 1.67E-01 9.16E-02 5.44E-02 2.67E-02 3.43E-03 0.00E+00 0.00E+00 0.00E+00
S6 6.66E+00 9.80E-01 2.38E-02 -2.89E-01 1.92E-01 -5.45E-02 -9.11E-03 -9.16E-04
S7 -1.61E-02 -1.60E-01 -5.72E-02 -8.13E-03 -8.21E-04 0.00E+00 0.00E+00 0.00E+00
S8 -2.99E-01 6.27E-03 -3.29E-02 4.55E-03 1.12E-03 0.00E+00 0.00E+00 0.00E+00
TABLE 4 Table 4
Fig. 5A shows an on-axis chromatic aberration curve of the visual optical system 201 of example 2, which indicates the convergent focus deviation of light rays of different wavelengths after passing through the visual optical system 201. Fig. 5B shows an astigmatism curve of the visual optical system 201 of embodiment 2, which represents a meridional image surface curvature and a sagittal image surface curvature corresponding to different angles of view. Fig. 5C shows a distortion curve of the visual optical system 201 of example 2, which represents distortion magnitude values corresponding to different angles of view. As can be seen from fig. 5A to 5C, the visual optical system 201 given in embodiment 2 can achieve good imaging quality.
Example 3
A visual optical system according to embodiment 3 of the present application is described below with reference to fig. 6 to 7C.
As shown in fig. 6, the visual optical system 301 includes a first element group, a second element group, a third element group, and an image surface S9 (e.g., a display) sequentially arranged from a first side to a second side along a first optical axis. The first element group comprises a first lens E1 a First lens E1 a Having a first side S1 and a second side S2, the second element group comprises a reflective polarizer RP, a quarter wave plate QWP and a second lens E2 a The reflective polarizer RP has a first side S3 and a second side, the quarter wave plate QWP has a first side S4 and a second side, and the second lens E2 a Has a first side S5 and a second side S6, wherein the second side of the reflective polarizer RP and the first side S4 of the quarter wave plate QWP are attached to each other, and the second side of the quarter wave plate QWP is attached to the second lens E2 a Is provided (a) is provided (S) a first side S5. The third element group comprises a third lens E3 a Third lens E3 a Having a first side S7 and a second side S8. For example, a third lens E3 a Is provided with a partially reflective layer BS (not shown).
First lens E1 a Having positive optical power, a first lens E1 a Is convex and the first side S1 of the first lens E1 a Is the first of (2)The two side surfaces S2 are concave surfaces. Second lens E2 a Having positive optical power, a second lens E2 a The first side S5 of the lens is a plane, and the second lens E2 a Is convex. Third lens E3 a Has negative optical power, and a third lens E3 a The first side S7 of the lens is concave, and the third lens E3 a Is convex.
In embodiment 3, the light from the image surface S9 sequentially passes through the third lens E3 a Second lens E2 a After reaching the reflective polarizing element RP, the quarter wave plate QWP undergoes a first reflection at the reflective polarizing element RP. The light reflected for the first time passes through the quarter wave plate QWP and the second lens E2 in sequence a Third lens E3 a And reach the third lens E3 a In the third lens E3 at the second side S8 of (2) a A second reflection takes place at the partially reflecting layer BS of the second side S8 of (b). The light reflected for the second time sequentially passes through the third lens E3 a Second lens E2 a Quarter wave plate QWP, reflective polarizer RP and first lens E1 a And reaches the human eye. The visual optical system 301 projects the light of the image surface S9 into the human eye by two reflections.
In example 3, a first lens E1 a Effective focal length f1 of (2) a 99.58mm, second lens E2 a Effective focal length f2 of (2) a 38.67mm, third lens E3 a Effective focal length f3 of (2) a The total effective focal length f of the visual optical system 301 is-85.57 mm a Maximum half field angle Semi-FOV of the visual optical system 301 of 15.94mm a A distance TTL between the first side surface S1 of the first element group and the image surface S9 on the first optical axis of 35.0 DEG a 14.83mm.
Table 5 shows a basic parameter table of the visual optical system 301 of example 3, in which the unit of curvature radius, thickness/distance is millimeter (mm). The light from the image surface S9 passes through the elements in the order of the number 18 to the number 2 and is projected into the human eye. Table 6 shows the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 3, wherein each of the aspherical surface types can be defined by the formula (1) given in example 1 above.
TABLE 5
Face number A4 A6 A8 A10 A12 A14 A16 A20
S1 -8.19E-02 5.63E-02 8.73E-02 4.98E-02 6.22E-03 0.00E+00 0.00E+00 0.00E+00
S2 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
S6 9.23E+00 1.07E+00 -3.27E-01 -1.79E-01 1.96E-01 -3.12E-02 -3.70E-02 -5.97E-04
S7 -8.40E-02 -4.34E-02 -1.46E-02 4.98E-04 -6.82E-05 0.00E+00 0.00E+00 0.00E+00
S8 -2.66E-01 4.01E-02 -2.81E-02 3.27E-03 8.80E-04 0.00E+00 0.00E+00 0.00E+00
TABLE 6
Fig. 7A shows an on-axis chromatic aberration curve of the visual optical system 301 of example 3, which indicates the convergent focus deviation of light rays of different wavelengths after passing through the visual optical system 301. Fig. 7B shows an astigmatism curve of the visual optical system 301 of embodiment 3, which represents a meridional image surface curvature and a sagittal image surface curvature corresponding to different angles of view. Fig. 7C shows a distortion curve of the visual optical system 301 of example 3, which represents distortion magnitude values corresponding to different angles of view. As can be seen from fig. 7A to 7C, the visual optical system 301 given in embodiment 3 can achieve good imaging quality.
Specific examples of the positioning optical system applicable to the above-described embodiments are further described below with reference to the drawings.
Example 4
A positioning optical system according to embodiment 4 of the present application is described below with reference to fig. 8 to 9C.
As shown in fig. 8, the positioning optical system 402 includes a first lens E1, a second lens E2, a third lens E3, a stop STO, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7, an eighth lens E8, a filter E9, and an imaging surface S19, which are sequentially arranged from the object side to the image side along the second optical axis.
The first lens element E1 has negative refractive power, wherein an object-side surface S1 thereof is convex, and an image-side surface S2 thereof is concave.
The second lens element E2 has negative refractive power, wherein an object-side surface S3 thereof is concave, and an image-side surface S4 thereof is concave.
The third lens element E3 has positive refractive power, wherein an object-side surface S5 thereof is convex, and an image-side surface S6 thereof is concave.
The fourth lens element E4 has positive refractive power, wherein an object-side surface S7 thereof is concave and an image-side surface S8 thereof is convex.
The fifth lens element E5 has positive refractive power, wherein an object-side surface S9 thereof is convex, and an image-side surface S10 thereof is convex.
The sixth lens element E6 has negative refractive power, wherein an object-side surface S11 thereof is concave and an image-side surface S12 thereof is convex.
The seventh lens element E7 has positive refractive power, wherein an object-side surface S13 thereof is convex, and an image-side surface S14 thereof is convex.
The eighth lens element E8 has positive refractive power, and its object-side surface S15 is convex and its image-side surface S16 is concave.
The filter E9 has an object side surface S17 and an image side surface S18. Light from the object sequentially passes through the respective surfaces S1 to S18 and is finally imaged on the imaging surface S19.
In embodiment 4, the total effective focal length f of the positioning optical system 402 is 1.36mm, the maximum half field angle Semi-FOV of the positioning optical system 402 is 107.0 °, the distance TTL between the object side surface S1 of the first lens E1 and the imaging surface S19 on the second optical axis is 11.87mm, and the half of the diagonal length ImgH of the effective pixel area on the imaging surface S19 is 2.58mm.
Table 7 shows a basic parameter table of the positioning optical system 402 of embodiment 4, in which the unit of curvature radius, thickness/distance is millimeter (mm).
TABLE 7
In embodiment 4, the object side surface and the image side surface of any one of the second lens element E2 to the eighth lens element E8 are aspheric, and the surface profile x of each aspheric lens element 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 second 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 7 above); k is a conic coefficient; ai is the correction coefficient of the aspherical i-th order. The higher order coefficients A4, A6, A8, A10, A12, A14, A16, A18, A20, A22, A24, A26, A30 and A32 that can be used for each of the aspherical surfaces S3 to S16 in example 4 are given in tables 8-1 and 8-2.
TABLE 8-1
Face number A18 A20 A22 A24 A26 A30 A32
S3 4.9160E-04 -8.1050E-05 9.6251E-06 -8.0151E-07 4.4393E-08 -1.4681E-09 2.1929E-11
S4 4.9966E+01 -2.9858E+01 1.2751E+01 -3.7938E+00 7.4669E-01 -8.7354E-02 4.5977E-03
S5 3.2781E+01 -2.1358E+01 9.8780E+00 -3.1655E+00 6.6809E-01 -8.3507E-02 4.6816E-03
S6 -1.0923E+03 1.0057E+03 -6.6325E+02 3.0538E+02 -9.3199E+01 1.6939E+01 -1.3875E+00
S7 -9.1656E+00 3.7550E+00 -9.8434E-01 1.4808E-01 -9.6225E-03 0.0000E+00 0.0000E+00
S8 3.8620E-02 -8.1559E-03 9.8556E-04 -5.1723E-05 0.0000E+00 0.0000E+00 0.0000E+00
S9 3.4098E-02 -1.1154E-02 2.6603E-03 -4.4822E-04 5.0402E-05 -3.3850E-06 1.0243E-07
S10 4.5006E-01 -1.4782E-01 3.4456E-02 -5.5595E-03 5.9005E-04 -3.7042E-05 1.0419E-06
S11 4.1805E-01 -1.3710E-01 3.1851E-02 -5.1109E-03 5.3814E-04 -3.3425E-05 9.2740E-07
S12 -4.5449E-02 1.1617E-02 -2.1684E-03 2.8805E-04 -2.5829E-05 1.4021E-06 -3.4793E-08
S13 -3.4315E-02 8.0939E-03 -1.3807E-03 1.6538E-04 -1.3143E-05 6.1916E-07 -1.2993E-08
S14 -3.9808E-02 9.5007E-03 -1.6445E-03 2.0055E-04 -1.6315E-05 7.9396E-07 -1.7466E-08
S15 -9.7443E-03 1.8846E-03 -2.6371E-04 2.5963E-05 -1.7045E-06 6.6941E-08 -1.1892E-09
S16 -4.7297E-03 9.0156E-04 -1.2305E-04 1.1698E-05 -7.3438E-07 2.7332E-08 -4.5620E-10
TABLE 8-2
Fig. 9A shows an on-axis chromatic aberration curve of the positioning optical system 402 of embodiment 4, which indicates the deviation of the converging focus of light rays of different wavelengths through the positioning optical system after 402. Fig. 9B shows an astigmatism curve of the positioning optical system 402 of embodiment 4, which represents a meridional image surface curvature and a sagittal image surface curvature corresponding to different angles of view. Fig. 9C shows a distortion curve of the positioning optical system 402 of embodiment 4, which represents distortion magnitude values corresponding to different angles of view. As can be seen from fig. 9A to 9C, the positioning optical system 402 provided in embodiment 4 can achieve good imaging quality.
Example 5
A positioning optical system according to embodiment 5 of the present application is described below with reference to fig. 10 to 11C.
As shown in fig. 10, the positioning optical system 502 includes a first lens E1, a second lens E2, a third lens E3, a stop STO, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7, an eighth lens E8, a filter E9, and an imaging surface S19, which are sequentially arranged from the object side to the image side along the second optical axis.
The first lens element E1 has negative refractive power, wherein an object-side surface S1 thereof is convex, and an image-side surface S2 thereof is concave.
The second lens element E2 has negative refractive power, wherein an object-side surface S3 thereof is concave, and an image-side surface S4 thereof is concave.
The third lens element E3 has positive refractive power, wherein an object-side surface S5 thereof is convex, and an image-side surface S6 thereof is concave.
The fourth lens element E4 has positive refractive power, wherein an object-side surface S7 thereof is concave and an image-side surface S8 thereof is convex.
The fifth lens element E5 has positive refractive power, wherein an object-side surface S9 thereof is convex, and an image-side surface S10 thereof is convex.
The sixth lens element E6 has negative refractive power, wherein an object-side surface S11 thereof is concave and an image-side surface S12 thereof is convex.
The seventh lens element E7 has positive refractive power, wherein an object-side surface S13 thereof is convex, and an image-side surface S14 thereof is convex.
The eighth lens element E8 has positive refractive power, and its object-side surface S15 is convex and its image-side surface S16 is concave.
The filter E9 has an object side surface S17 and an image side surface S18. Light from the object sequentially passes through the respective surfaces S1 to S18 and is finally imaged on the imaging surface S19.
In embodiment 5, the total effective focal length f of the positioning optical system 502 is 1.39mm, the maximum half field angle Semi-FOV of the positioning optical system 502 is 107.0 °, the distance TTL between the object side surface S1 of the first lens E1 and the imaging surface S19 on the second optical axis is 12.13mm, and the half of the diagonal length ImgH of the effective pixel area on the imaging surface S19 is 2.67mm.
Table 9 shows a basic parameter table of the positioning optical system 502 of embodiment 5, in which the unit of curvature radius, thickness/distance is millimeter (mm). Tables 10-1 and 10-2 show the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 5, wherein each of the aspherical surface profiles can be defined by the formula (1) given in example 1 above.
TABLE 9
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TABLE 10-1
Face number A18 A20 A22 A24 A26 A30 A32
S3 3.6688E-04 -5.4973E-05 5.9763E-06 -4.5819E-07 2.3469E-08 -7.2037E-10 1.0015E-11
S4 3.0642E+01 -1.7035E+01 6.7603E+00 -1.8676E+00 3.4114E-01 -3.7030E-02 1.8086E-03
S5 1.2121E+01 -7.3550E+00 3.1681E+00 -9.4524E-01 1.8569E-01 -2.1601E-02 1.1273E-03
S6 -3.0211E+02 2.7552E+02 -1.8029E+02 8.2525E+01 -2.5088E+01 4.5503E+00 -3.7258E-01
S7 -6.3399E+00 2.4926E+00 -6.3125E-01 9.2664E-02 -5.9682E-03 0.0000E+00 0.0000E+00
S8 3.1888E-02 -6.1704E-03 6.7982E-04 -3.2238E-05 0.0000E+00 0.0000E+00 0.0000E+00
S9 2.9001E-02 -8.5549E-03 1.7837E-03 -2.5264E-04 2.2605E-05 -1.1044E-06 2.0212E-08
S10 2.4572E-01 -8.9402E-02 2.2689E-02 -3.9510E-03 4.5093E-04 -3.0433E-05 9.2215E-07
S11 2.3693E-01 -8.6582E-02 2.1975E-02 -3.8102E-03 4.3116E-04 -2.8738E-05 8.5684E-07
S12 3.2090E-02 -1.0379E-02 2.3268E-03 -3.5558E-04 3.5376E-05 -2.0670E-06 5.3846E-08
S13 2.3813E-02 -7.2107E-03 1.5222E-03 -2.2094E-04 2.1075E-05 -1.1918E-06 3.0320E-08
S14 -4.6074E-02 1.1576E-02 -2.1148E-03 2.7237E-04 -2.3390E-05 1.2000E-06 -2.7782E-08
S15 -7.5631E-03 1.4517E-03 -2.0315E-04 2.0120E-05 -1.3347E-06 5.3155E-08 -9.6007E-10
S16 1.5263E-05 -6.8840E-05 1.9286E-05 -2.8929E-06 2.5783E-07 -1.2880E-08 2.7881E-10
TABLE 10-2
Fig. 11A shows an on-axis chromatic aberration curve of the positioning optical system 502 of embodiment 5, which indicates the convergent focus deviation of light rays of different wavelengths after passing through the positioning optical system 502. Fig. 11B shows an astigmatism curve of the positioning optical system 502 of embodiment 5, which represents a meridional image surface curvature and a sagittal image surface curvature corresponding to different angles of view. Fig. 11C shows a distortion curve of the positioning optical system 502 of embodiment 5, which represents distortion magnitude values corresponding to different angles of view. As can be seen from fig. 11A to 11C, the positioning optical system 502 given in embodiment 5 can achieve good imaging quality.
Example 6
A positioning optical system according to embodiment 6 of the present application is described below with reference to fig. 12 to 13C.
As shown in fig. 12, the positioning optical system 602 includes a first lens E1, a second lens E2, a third lens E3, a stop STO, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7, an eighth lens E8, a filter E9, and an imaging surface S19, which are sequentially arranged from the object side to the image side along the second optical axis.
The first lens element E1 has negative refractive power, wherein an object-side surface S1 thereof is convex, and an image-side surface S2 thereof is concave.
The second lens element E2 has negative refractive power, wherein an object-side surface S3 thereof is convex, and an image-side surface S4 thereof is concave.
The third lens element E3 has positive refractive power, wherein an object-side surface S5 thereof is concave, and an image-side surface S6 thereof is convex.
The fourth lens element E4 has negative refractive power, wherein an object-side surface S7 thereof is concave and an image-side surface S8 thereof is convex.
The fifth lens element E5 has positive refractive power, wherein an object-side surface S9 thereof is concave and an image-side surface S10 thereof is convex.
The sixth lens element E6 has positive refractive power, wherein an object-side surface S11 thereof is convex, and an image-side surface S12 thereof is convex.
The seventh lens element E7 has negative refractive power, wherein the object-side surface S13 is concave, and the image-side surface S14 is concave.
The eighth lens element E8 has positive refractive power, wherein an object-side surface S15 thereof is convex, and an image-side surface S16 thereof is convex.
The filter E9 has an object side surface S17 and an image side surface S18. Light from the object sequentially passes through the respective surfaces S1 to S18 and is finally imaged on the imaging surface S19.
In embodiment 6, the total effective focal length f of the positioning optical system 602 is 1.64mm, the maximum half field angle Semi-FOV of the positioning optical system 602 is 107.0 °, the distance TTL between the object side surface S1 of the first lens E1 and the imaging surface S19 on the second optical axis is 13.66mm, and the half of the diagonal length ImgH of the effective pixel area on the imaging surface S19 is 3.15mm.
Table 11 shows a basic parameter table of the positioning optical system 602 of embodiment 6, in which the unit of curvature radius, thickness/distance is millimeter (mm). Tables 12-1 and 12-2 show the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 6, wherein each of the aspherical surface profiles can be defined by the formula (1) given in example 1 above.
TABLE 11
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TABLE 12-1
Face number A14 A16 A18 A20
S3 -1.6075E-04 1.4681E-05 -7.8457E-07 1.8717E-08
S4 2.0187E-01 -7.5197E-02 1.5576E-02 -1.3652E-03
S5 5.3583E-02 -2.1439E-02 4.7339E-03 -4.4370E-04
S6 1.3350E-01 -5.6904E-02 1.3365E-02 -1.3215E-03
S7 -1.0950E-01 4.1709E-02 -8.7164E-03 7.6660E-04
S8 -2.9088E-01 1.0092E-01 -1.9440E-02 1.6242E-03
S9 -2.0559E-01 5.6046E-02 -7.4701E-03 3.2348E-04
S10 -3.7418E-02 1.1284E-02 -1.7636E-03 1.0858E-04
S11 4.3912E-03 -8.1941E-04 7.4601E-05 -1.7818E-06
S12 3.7126E-02 -6.2383E-03 5.6864E-04 -2.0272E-05
S13 4.8628E-02 -9.4028E-03 1.0368E-03 -4.9536E-05
S14 2.9579E-03 -5.3604E-04 5.5947E-05 -2.5775E-06
S15 6.9567E-05 -4.2799E-05 9.4356E-06 -7.1055E-07
S16 -1.3720E-03 2.5631E-04 -2.7273E-05 1.2681E-06
TABLE 12-2
Fig. 13A shows an on-axis chromatic aberration curve of the positioning optical system 602 of embodiment 6, which indicates the convergent focus deviation of light rays of different wavelengths after passing through the positioning optical system 602. Fig. 13B shows an astigmatism curve of the positioning optical system 602 of embodiment 6, which represents meridional image surface curvature and sagittal image surface curvature corresponding to different angles of view. Fig. 13C shows a distortion curve of the positioning optical system 602 of embodiment 6, which represents distortion magnitude values corresponding to different angles of view. As can be seen from fig. 13A to 13C, the positioning optical system 602 provided in embodiment 6 can achieve good imaging quality.
Example 7
A positioning optical system according to embodiment 7 of the present application is described below with reference to fig. 14 to 15C.
As shown in fig. 14, the positioning optical system 702 includes a first lens E1, a second lens E2, a third lens E3, a stop STO, a fourth lens E4, a fifth lens E5, a sixth lens E6, a seventh lens E7, an eighth lens E8, a filter E9, and an imaging surface S19, which are sequentially arranged from the object side to the image side along the second optical axis.
The first lens element E1 has negative refractive power, wherein an object-side surface S1 thereof is convex, and an image-side surface S2 thereof is concave.
The second lens element E2 has negative refractive power, wherein an object-side surface S3 thereof is concave, and an image-side surface S4 thereof is concave.
The third lens element E3 has positive refractive power, wherein an object-side surface S5 thereof is convex, and an image-side surface S6 thereof is concave.
The fourth lens element E4 has positive refractive power, wherein an object-side surface S7 thereof is concave and an image-side surface S8 thereof is convex.
The fifth lens element E5 has positive refractive power, wherein an object-side surface S9 thereof is convex, and an image-side surface S10 thereof is convex.
The sixth lens element E6 has negative refractive power, wherein an object-side surface S11 thereof is concave and an image-side surface S12 thereof is convex.
The seventh lens element E7 has positive refractive power, wherein an object-side surface S13 thereof is convex, and an image-side surface S14 thereof is concave.
The eighth lens element E8 has positive refractive power, and its object-side surface S15 is convex and its image-side surface S16 is concave.
The filter E9 has an object side surface S17 and an image side surface S18. Light from the object sequentially passes through the respective surfaces S1 to S18 and is finally imaged on the imaging surface S19.
In embodiment 7, the total effective focal length f of the positioning optical system 702 is 1.31mm, the maximum half field angle Semi-FOV of the positioning optical system 702 is 107.0 °, the distance TTL between the object side surface S1 of the first lens E1 and the imaging surface S19 on the second optical axis is 13.45mm, and the half of the diagonal length ImgH of the effective pixel area on the imaging surface S19 is 2.49mm.
Table 13 shows a basic parameter table of the positioning optical system 702 of embodiment 7, in which the unit of curvature radius, thickness/distance is millimeter (mm). Tables 14-1 and 14-2 show the higher order coefficients that can be used for each of the aspherical mirror surfaces in example 7, wherein each of the aspherical surface profiles can be defined by the formula (1) given in example 1 above.
TABLE 13
TABLE 14-1
Face number A18 A20 A22 A24 A26 A30 A32
S3 1.3055E-04 -3.0210E-05 4.6995E-06 -4.9362E-07 3.3693E-08 -1.3521E-09 2.4239E-11
S4 1.2935E+01 -7.7174E+00 3.3291E+00 -1.0093E+00 2.0369E-01 -2.4548E-02 1.3352E-03
S5 1.6578E+00 -1.2994E+00 7.1956E-01 -2.7396E-01 6.8151E-02 -9.9655E-03 6.4898E-04
S6 -8.5821E+02 8.4801E+02 -6.0150E+02 2.9833E+02 -9.8180E+01 1.9256E+01 -1.7030E+00
S7 5.3226E+00 -3.2052E+00 1.2123E+00 -2.6223E-01 2.4770E-02 0.0000E+00 0.0000E+00
S8 9.3008E-03 -1.8716E-03 2.1703E-04 -1.1027E-05 0.0000E+00 0.0000E+00 0.0000E+00
S9 6.4417E-03 -1.5595E-03 2.7176E-04 -3.3177E-05 2.6914E-06 -1.3022E-07 2.8424E-09
S10 -7.6849E-02 1.7283E-02 -2.6910E-03 2.7910E-04 -1.7752E-05 5.7291E-07 -4.9393E-09
S11 -9.5521E-02 2.4136E-02 -4.3468E-03 5.4631E-04 -4.5587E-05 2.2704E-06 -5.1053E-08
S12 -4.3221E-02 1.1387E-02 -2.1537E-03 2.8563E-04 -2.5235E-05 1.3345E-06 -3.1969E-08
S13 -1.6230E-02 3.7657E-03 -6.3550E-04 7.5887E-05 -6.0786E-06 2.9308E-07 -6.4315E-09
S14 -1.3015E-02 2.0947E-03 -2.2225E-04 1.3400E-05 -2.0082E-07 -2.4595E-08 1.1385E-09
S15 -1.0459E-02 1.9115E-03 -2.5395E-04 2.3833E-05 -1.4967E-06 5.6406E-08 -9.6406E-10
S16 1.5205E-03 -2.4705E-04 2.8378E-05 -2.2189E-06 1.0987E-07 -2.9753E-09 3.0137E-11
TABLE 14-2
Fig. 15A shows an on-axis chromatic aberration curve of the positioning optical system 702 of embodiment 7, which indicates the convergent focus deviation of light rays of different wavelengths after passing through the positioning optical system 702. Fig. 15B shows an astigmatism curve of the positioning optical system 702 of embodiment 7, which represents a meridional image surface curvature and a sagittal image surface curvature corresponding to different angles of view. Fig. 15C shows a distortion curve of the positioning optical system 702 of embodiment 7, which represents distortion magnitude values corresponding to different angles of view. As can be seen from fig. 15A to 15C, the positioning optical system 702 provided in embodiment 7 can achieve good imaging quality.
Referring to fig. 1, the virtual reality system 10 provided in the present application may be composed of any one of the visual optical systems 101 to 301 in the above embodiments 1 to 3, any one of the positioning optical systems 402 to 702 in the above embodiments 4 to 7, and the visual optical system (e.g., any one of the visual optical systems 101 to 301) and the positioning optical system (e.g., any one of the positioning optical systems 402 to 702) in combination two by two to form an example of 12 virtual reality systems 10.
The virtual reality system corresponding to example 1 is composed of and constituted by the visual optical system 101 of example 1 and the positioning optical system 402 of example 4;
the virtual reality system corresponding to example 2 is composed of and constituted by the visual optical system 201 of example 2 and the positioning optical system 402 of example 4;
the virtual reality system corresponding to example 3 is composed of and constituted by the visual optical system 301 of example 3 and the positioning optical system 402 of example 4;
the virtual reality system corresponding to example 4 is composed of and constituted by the visual optical system 101 of example 1 and the positioning optical system 502 of example 5;
the virtual reality system corresponding to example 5 is composed of and constituted by the visual optical system 201 of example 2 and the positioning optical system 502 of example 5;
The virtual reality system corresponding to example 6 is composed of and consisting of the visual optical system 301 of example 3 and the positioning optical system 502 of example 5;
the virtual reality system corresponding to example 7 is composed of and constituted by the visual optical system 101 of embodiment 1 and the positioning optical system 602 of embodiment 6;
the virtual reality system corresponding to example 8 is composed of and constituted by the visual optical system 201 of example 2 and the positioning optical system 602 of example 6;
the virtual reality system corresponding to example 9 is composed of and constituted by the visual optical system 301 of example 3 and the positioning optical system 602 of example 6;
the virtual reality system corresponding to example 10 is composed of and constituted by the visual optical system 101 of embodiment 1 and the positioning optical system 702 of embodiment 7;
the virtual reality system corresponding to example 11 is composed of and consists of the visual optical system 201 of example 2 and the positioning optical system 702 of example 7; and
the virtual reality system corresponding to example 12 is composed of and constituted of the visual optical system 301 of example 3 and the positioning optical system 702 of example 7.
In summary, examples 1 to 12 satisfy the relationships shown in tables 15-1 and 15-2, respectively.
Condition/example 1 2 3 4 5 6
f a /f 13.50 12.53 11.72 13.22 12.27 11.48
TTL a /TTL 1.19 1.23 1.25 1.17 1.21 1.22
f a ×tan(Semi-FOV a ) 12.85 11.93 11.16 12.85 11.93 11.16
f/EPD 1.10 1.10 1.10 1.10 1.10 1.10
TD a /f a 0.67 0.83 0.88 0.67 0.83 0.88
TD a /TD 1.16 1.34 1.31 1.14 1.32 1.30
f3 a /N3 a -55.43 -53.10 -51.98 -55.43 -53.10 -51.98
f2 a /(R3 a +R4 a ) -0.89 0.00 0.00 -0.89 0.00 0.00
R5 a /V3 a -1.41 -1.33 -1.28 -1.41 -1.33 -1.28
(T12 a +CT2 a )×N2 a /f2 a 0.60 0.89 0.36 0.60 0.89 0.36
1/3×(V2 a +VR+VQ)/f a 3.09 3.33 3.56 3.09 3.33 3.56
DT32 a /DT31 a 1.06 1.09 1.08 1.06 1.09 1.08
(CT1+T12+CT2+T23+CT3)/f123 -1.44 -1.44 -1.44 -1.49 -1.49 -1.49
(N1+N2)/(f1-f2) -0.59 -0.59 -0.59 -0.57 -0.57 -0.57
0.5<f567/(f5+f6-f7) 0.74 0.74 0.74 0.76 0.76 0.76
(R1+R2)/(R3+R4) -0.67 -0.67 -0.67 -0.71 -0.71 -0.71
V1/V2 0.88 0.88 0.88 0.99 0.99 0.99
(V1-V2)/T12 -3.12 -3.12 -3.12 -0.29 -0.29 -0.29
ImgH/TD 0.24 0.24 0.24 0.25 0.25 0.25
TABLE 15-1
Condition/example 7 8 9 10 11 12
f a /f 11.23 10.42 9.75 14.06 13.05 12.21
TTL a /TTL 1.04 1.07 1.09 1.05 1.09 1.10
f a ×tan(Semi-FOV a ) 12.85 11.93 11.16 12.85 11.93 11.16
f/EPD 1.26 1.26 1.26 1.15 1.15 1.15
TD a /f a 0.67 0.83 0.88 0.67 0.83 0.88
TD a /TD 1.07 1.24 1.22 1.03 1.19 1.17
f3 a /N3 a -55.43 -53.10 -51.98 -55.43 -53.10 -51.98
f2 a /(R3 a +R4 a ) -0.89 0.00 0.00 -0.89 0.00 0.00
R5 a /V3 a -1.41 -1.33 -1.28 -1.41 -1.33 -1.28
(T12 a +CT2 a )×N2 a /f2 a 0.60 0.89 0.36 0.60 0.89 0.36
1/3×(V2 a +VR+VQ)/f a 3.09 3.33 3.56 3.09 3.33 3.56
DT32 a /DT31 a 1.06 1.09 1.08 1.06 1.09 1.08
(CT1+T12+CT2+T23+CT3)/f123 -0.94 -0.94 -0.94 -2.02 -2.02 -2.02
(N1+N2)/(f1-f2) -0.67 -0.67 -0.67 -1.00 -1.00 -1.00
0.5<f567/(f5+f6-f7) 1.31 1.31 1.31 0.89 0.89 0.89
(R1+R2)/(R3+R4) 1.85 1.85 1.85 -1.65 -1.65 -1.65
V1/V2 1.08 1.08 1.08 0.88 0.88 0.88
(V1-V2)/T12 2.90 2.90 2.90 -2.93 -2.93 -2.93
ImgH/TD 0.28 0.28 0.28 0.21 0.21 0.21
TABLE 15-2
The foregoing description is only of the preferred embodiments of the present application and is presented as a description of the principles of the technology being utilized. It will be appreciated by persons skilled in the art that the scope of the invention referred to in this application is not limited to the specific combinations of features described above, but also covers other technical solutions which may be formed by any combination of the features described above or their equivalents without departing from the inventive concept. Such as the above-described features and technical features having similar functions (but not limited to) disclosed in the present application are replaced with each other.

Claims (16)

1. A virtual reality system comprises a visual optical system and a positioning optical system, and is characterized in that,
the visual optical system sequentially comprises a first element group, a second element group, a third element group and an image surface from a first side to a second side along a first optical axis, wherein the first element group comprises a first lens, the second element group comprises a second lens with positive focal power, the third element group comprises a third lens with negative focal power, the visual optical system further comprises a reflective polarizing element and a quarter wave plate, and the reflective polarizing element and the quarter wave plate are respectively arranged in the first element group or the second element group;
the positioning optical system comprises a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens and an eighth lens in sequence from an object side to an image side along a second optical axis, wherein the first lens has negative focal power, and the eighth lens has positive focal power;
wherein the total effective focal length f of the visual optical system a The total effective focal length f of the positioning optical system is as follows: 9.0<f a /f<15.0; and
the distance TTL from the first side of the first element group to the image surface on the first optical axis a The distance TTL between the object side surface of the first lens and the imaging surface of the positioning optical system on the second optical axis is as follows: 1.0<TTL a /TTL<1.5。
2. The virtual reality system of claim 1, wherein a maximum half field angle Semi-FOV of the localization optical system satisfies: semi-FOV > 100 °; and
the maximum half field angle Semi-FOV of the visual optical system a The method meets the following conditions: f (f) a ×tan(Semi-FOV a )>12.0mm。
3. The virtual reality system of claim 1, wherein an entrance pupil diameter EPD of the positioning optical system satisfies: f/EPD <1.30; and
a distance TD between a first side of the first element group and a second side of the third element group on the first optical axis a The method meets the following conditions: 0.3<TD a /f a <1.0。
4. The virtual reality system of claim 1, wherein a distance TD on the first optical axis from a first side of the first element set to a second side of the third element set a The distance TD between the object side surface of the first lens element and the image side surface of the eighth lens element on the second optical axis satisfies the following conditions: TD (time division) a /TD<1.5。
5. The virtual reality system of any one of claims 1-4, wherein an effective focal length f3 of the third lens a Refractive index N3 with the third lens a The method meets the following conditions: -56.0mm<f3 a /N3 a <-50.0mm。
6. The virtual reality system of any one of claims 1-4, wherein an effective focal length f2 of the second lens a Radius of curvature R3 of the first side of the second lens a And a radius of curvature R4 of the second side of the second lens a The method meets the following conditions: -1.0 < f2 a /(R3 a +R4 a )≤0。
7. The virtual reality system of any one of claims 1-4, wherein a radius of curvature R5 of the first side of the third lens a Coefficient of dispersion V3 with the third lens a The method meets the following conditions: -3.0mm < R5 a /V3 a <0mm。
8. The virtual reality system of any one of claims 1-4, wherein the first element group and the second element group are separated by a distance T12 on the first optical axis a The center thickness CT2 of the second lens on the first optical axis a Refractive index N2 of the second lens a An effective focal length f2 of the second lens a The method meets the following conditions: 0<(T12 a +CT2 a )×N2 a /f2 a <1.0。
9. The virtual reality system of any one of claims 1-4, wherein an abbe number V2 of the second lens a The dispersion coefficient VR of the reflective polarizing element and the dispersion coefficient VQ of the quarter-wave plate satisfy the following conditions: 3.0mm -1 <1/3×(V2 a +VR+VQ)/f a <4.0mm -1
10. The virtual reality system of any one of claims 1-4, wherein a maximum effective radius DT31 of the first side of the third lens a Maximum effective radius DT32 with the second side of the third lens a The method meets the following conditions: 0.5<DT32 a /DT31 a <1.5。
11. The virtual reality system of any of claims 1-4, wherein a center thickness CT1 of the first lens on the second optical axis, a separation distance T12 of the first lens and the second lens on the second optical axis, a center thickness CT2 of the second lens on the second optical axis, a separation distance T23 of the second lens and the third lens on the second optical axis, and a combined focal length f123 of the first lens, the second lens, and the third lens satisfy: -2.5< (cT1+t12+cT2+t23+cT3)/f123 < -0.5.
12. The virtual reality system of any one of claims 1-4, wherein the refractive index N1 of the first lens satisfies: n1 is more than 1.6; and
the refractive index N2 of the second lens, the effective focal length f1 of the first lens, and the effective focal length f2 of the second lens satisfy: -1.5mm -1 <(N1+N2)/(f1-f2)<0mm -1
13. The virtual reality system of any one of claims 1-4, wherein an optical power of at least two of the fifth lens, the sixth lens, and the seventh lens is positive; and
The combined focal length f567 of the fifth lens, the sixth lens, and the seventh lens, the effective focal length f5 of the fifth lens, the effective focal length f6 of the sixth lens, and the effective focal length f7 of the seventh lens satisfy: 0.5< f 567/(f5+f6-f 7) <1.5.
14. The virtual reality system of any one of claims 1-4, wherein a radius of curvature R1 of an object-side surface of the first lens, a radius of curvature R2 of an image-side surface of the first lens, a radius of curvature R3 of an object-side surface of the second lens, and a radius of curvature R4 of an image-side surface of the second lens satisfy: r1> R2> R4>0 and-2.0 < (R1+R2)/(R3+R4) <2.0.
15. The virtual reality system of any one of claims 1-4, wherein a dispersion coefficient V1 of the first lens and a dispersion coefficient V2 of the second lens satisfy: V1/V2>0.85; and
the separation distance T12 of the first lens and the second lens on the second optical axis satisfies: -3.5mm -1 <(V1-V2)/T12<3.0mm -1
16. The virtual reality system of any one of claims 1-4, wherein a distance TD on the second optical axis between an object side surface of the first lens and an image side surface of the eighth lens is the half of a diagonal length of an effective pixel area on the imaging plane: 0< ImgH/TD <0.5.
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