TWI755954B - Optical system of head mounted display - Google Patents

Optical system of head mounted display Download PDF

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TWI755954B
TWI755954B TW109142278A TW109142278A TWI755954B TW I755954 B TWI755954 B TW I755954B TW 109142278 A TW109142278 A TW 109142278A TW 109142278 A TW109142278 A TW 109142278A TW I755954 B TWI755954 B TW I755954B
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lens
optical system
mounted display
fresnel
head
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TW109142278A
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TW202223493A (en
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洪淩桂
施富斌
游鴻文
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雙瑩科技股份有限公司
大陸商東莞雙瑩光電科技有限公司
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Abstract

一種頭戴型顯示器之光學系統，包括從人眼到顯示屏依次排列的第一透鏡和第二透鏡，第一透鏡和第二透鏡分別為具有第一折射率和第二折射率的透鏡，且第一透鏡和第二透鏡中只有其中一者為菲涅爾透鏡，並滿足

Figure 01_image001
，
Figure 01_image003
、
Figure 01_image005
分別為第一透鏡與第二透鏡之焦距。本發明透過菲涅爾透鏡的設置，可以在小屏幕實行大視場角設計上達到校正場曲，有助於週邊影像品質的提昇，能縮減鏡組的重量與體積，同時，因為只使用單片菲涅爾透鏡，將可以有效的抑制雜散光，以提高實境體驗的觀看效果。 An optical system of a head-mounted display, comprising a first lens and a second lens arranged in sequence from the human eye to a display screen, the first lens and the second lens are respectively lenses with a first refractive index and a second refractive index, and Only one of the first lens and the second lens is a Fresnel lens and satisfies the
Figure 01_image001
,
Figure 01_image003
,
Figure 01_image005
are the focal lengths of the first lens and the second lens, respectively. The present invention can correct the curvature of field in the design of a large field of view on a small screen through the setting of the Fresnel lens, which is conducive to the improvement of the surrounding image quality, and can reduce the weight and volume of the lens group. The Fresnel lens can effectively suppress stray light to improve the viewing effect of the real experience.

Description

頭戴型顯示器之光學系統Optical system of head mounted display

本發明係有關一種光學元件之技術，特別是指一種頭戴型顯示器之光學系統。The present invention relates to a technology of an optical element, in particular to an optical system of a head-mounted display.

虛擬實境（virtual reality，VR）是一種利用電腦技術產生一個三維空間的虛擬影像，並將其影像投射至使用者眼中，令使用者感受到身臨其境的技術。目前用來實現虛擬實境之技術，多半是令使用者將虛擬實境裝置穿戴在頭部，同時令虛擬實境裝置中的顯示螢幕貼近使用者的眼部，使用者即可在一個短距離看到放大數倍的顯示影像。Virtual reality (VR) is a technology that uses computer technology to generate a virtual image of a three-dimensional space, and projects the image to the user's eyes, making the user feel immersive. At present, most of the technologies used to realize virtual reality are to make the user wear the virtual reality device on the head, and at the same time make the display screen in the virtual reality device close to the user's eyes, so that the user can be in a short distance See the displayed image at several times magnification.

一般的頭戴型顯示器（Head-mounted display，HMD）是將具有兩眼視差的立體效果訊號，即雙眼不同的影像資料，分別傳送到設置於雙眼前方的顯示屏並投射在光學系統上後，光學系統能調整影像的聚焦位置，以將影像近距離投射在使用者的眼睛，令使用者透過頭戴型顯示器觀賞到一個廣視角的畫面，產生虛擬實境影像。A general head-mounted display (HMD) transmits a stereoscopic effect signal with binocular parallax, that is, the image data of different eyes, respectively, to a display screen set in front of the eyes and projects on the optical system Afterwards, the optical system can adjust the focus position of the image to project the image on the user's eyes at a close distance, so that the user can view a picture with a wide viewing angle through the head-mounted display, thereby generating a virtual reality image.

但目前虛擬實境裝置的缺點在於，其光學系統在實行大視場角（Field of View, FOV）設計上，要配合加大屏幕尺寸才能保證影像品質，導致虛擬實境裝置的體積就會加大許多，較為笨重，造成使用者穿戴上的不適，產生使用者無法長時間穿戴等問題。為此，由菲涅爾透鏡所構成的光學系統具有較大視場角，且兼顧虛擬實境裝置的微小化。然而，一般單片式菲涅爾透鏡的光學系統視場角越大，像差則越大；另外，現有使用多片式菲涅爾透鏡的光學系統，則因為雜散光交互影響較為嚴重，而影響觀看體驗，因此不易設計及實行於虛擬實境裝置上。However, the disadvantage of the current virtual reality device is that in the design of its optical system with a large field of view (FOV), it is necessary to increase the screen size to ensure the image quality, which leads to an increase in the volume of the virtual reality device. It is much larger and bulkier, causing discomfort for users to wear, and problems such as users being unable to wear for a long time. For this reason, the optical system constituted by the Fresnel lens has a large angle of view, and takes into account the miniaturization of the virtual reality device. However, in general, the larger the field angle of the optical system of a single-piece Fresnel lens, the larger the aberration; in addition, the existing optical system using a multi-piece Fresnel lens has serious interaction effects due to stray light, and It affects the viewing experience, so it is not easy to design and implement on virtual reality devices.

有鑑於此，本發明之主要目的在提供一種頭戴型顯示器之光學系統，具有雙片式的透鏡設計，可大幅降低大視場處的像差及校正場曲，有助於周邊影像品質的提昇，可降低鏡組重量與體積，而兩透鏡僅其中一者採用菲涅爾透鏡，能有效避免雜散光的產生，令成像更為清晰。In view of this, the main purpose of the present invention is to provide an optical system of a head-mounted display, which has a double-piece lens design, which can greatly reduce the aberration and correct the field curvature at a large field of view, which is conducive to the improvement of the surrounding image quality. The improvement can reduce the weight and volume of the lens group, and only one of the two lenses uses a Fresnel lens, which can effectively avoid the generation of stray light and make the image clearer.

為達上述之目的，本發明提供一種頭戴型顯示器之光學系統，其包括第一透鏡和第二透鏡，第一透鏡為具有第一折射率之透鏡，第一透鏡之第一側面朝向人眼，而第二透鏡為具有第二折射率之透鏡，第二透鏡之第一側面朝向第一透鏡之第二側面，第二透鏡之第二側面朝向顯示屏；其中，頭戴型顯示器之光學系統滿足以下條件： 第一透鏡與第二透鏡中只有其中一者為菲涅爾透鏡，且

Figure 02_image001
，
Figure 02_image003
、
Figure 02_image005
分別為第一透鏡與第二透鏡之焦距。 In order to achieve the above object, the present invention provides an optical system of a head-mounted display, which includes a first lens and a second lens, the first lens is a lens with a first refractive index, and the first side of the first lens faces the human eye , and the second lens is a lens with a second refractive index, the first side of the second lens faces the second side of the first lens, and the second side of the second lens faces the display screen; wherein, the optical system of the head-mounted display The following conditions are met: Only one of the first lens and the second lens is a Fresnel lens, and
Figure 02_image001
,
Figure 02_image003
,
Figure 02_image005
are the focal lengths of the first lens and the second lens, respectively.

根據本發明之實施例，其中第二透鏡之第二側面為菲涅爾面，第二透鏡之第一側面以及第一透鏡之第一側面和第二側面為球面或非球面。According to an embodiment of the present invention, the second side surface of the second lens is a Fresnel surface, and the first side surface of the second lens and the first and second side surfaces of the first lens are spherical or aspherical surfaces.

根據本發明之實施例，其中第一透鏡之第二側面為菲涅爾面，第一透鏡之第一側面以及第二透鏡之第一側面和第二側面為球面或非球面。According to an embodiment of the present invention, the second side surface of the first lens is a Fresnel surface, and the first side surface of the first lens and the first and second side surfaces of the second lens are spherical or aspherical surfaces.

根據本發明之實施例，其中第二透鏡之第一側面和第二側面為菲涅爾面，第一透鏡之第一側面和第二側面為球面或非球面。According to an embodiment of the present invention, the first side surface and the second side surface of the second lens are Fresnel surfaces, and the first side surface and the second side surface of the first lens are spherical or aspherical surfaces.

根據本發明之實施例，其中光學系統更滿足

Figure 02_image019
，
Figure 02_image021
為第一折射率，
Figure 02_image023
為第二折射率。 According to an embodiment of the present invention, wherein the optical system further satisfies
Figure 02_image019
,
Figure 02_image021
is the first refractive index,
Figure 02_image023
is the second refractive index.

根據本發明之實施例，其中光學系統更滿足

Figure 02_image025
，S為第一透鏡和第二透鏡之間的間距。 According to an embodiment of the present invention, wherein the optical system further satisfies
Figure 02_image025
, S is the distance between the first lens and the second lens.

根據本發明之實施例，其中光學系統更滿足

Figure 02_image027
，
Figure 02_image011
為第一透鏡之第二側面的光學有效半徑，
Figure 02_image029
為第二透鏡之第一側面的光學有效半徑。 According to an embodiment of the present invention, wherein the optical system further satisfies
Figure 02_image027
,
Figure 02_image011
is the optical effective radius of the second side of the first lens,
Figure 02_image029
is the optical effective radius of the first side surface of the second lens.

根據本發明之實施例，其中光學系統更滿足

Figure 02_image031
，
Figure 02_image033
為光學系統之有效焦距，
Figure 02_image007
為可視範圍半徑。 According to an embodiment of the present invention, wherein the optical system further satisfies
Figure 02_image031
,
Figure 02_image033
is the effective focal length of the optical system,
Figure 02_image007
is the visible range radius.

根據本發明之實施例，其中光學系統更滿足

Figure 02_image035
，
Figure 02_image033
為光學系統之有效焦距，
Figure 02_image011
為第一透鏡之第二側面的光學有效半徑。 According to an embodiment of the present invention, wherein the optical system further satisfies
Figure 02_image035
,
Figure 02_image033
is the effective focal length of the optical system,
Figure 02_image011
is the optical effective radius of the second side surface of the first lens.

根據本發明之實施例，其中光學系統更滿足

Figure 02_image037
，
Figure 02_image039
為第一透鏡之色散係數，
Figure 02_image041
為第二透鏡之色散係數。 According to an embodiment of the present invention, wherein the optical system further satisfies
Figure 02_image037
,
Figure 02_image039
is the dispersion coefficient of the first lens,
Figure 02_image041
is the dispersion coefficient of the second lens.

底下藉由具體實施例詳加說明，當更容易瞭解本發明之目的、技術內容、特點及其所達成之功效。The following describes in detail with specific embodiments, when it is easier to understand the purpose, technical content, characteristics and effects of the present invention.

請參照第1圖，其繪示本發明頭戴型顯示器之光學系統之第一實施例之示意圖。本實施例的光學系統1包括並排設置於人眼52和顯示屏50之間的第一透鏡10和第二透鏡12。其中，第一透鏡10靠近人眼52側，其為具有第一折射率

Figure 02_image021
之透鏡，第二透鏡20靠近顯示屏50側，其為具有第二折射率
Figure 02_image023
之透鏡。具體而言，光學系統1之第一折射率
Figure 02_image021
和第二折射率
Figure 02_image023
滿足
Figure 02_image019
。再者，光學系統1之第一透鏡10和第二透鏡12之間的間距
Figure 02_image009
可滿足
Figure 02_image025
公厘(mm)。 Please refer to FIG. 1 , which shows a schematic diagram of a first embodiment of the optical system of the head-mounted display of the present invention. The optical system 1 of this embodiment includes a first lens 10 and a second lens 12 which are arranged side by side between the human eye 52 and the display screen 50 . The first lens 10 is close to the human eye 52 and has a first refractive index
Figure 02_image021
The second lens 20 is close to the display screen 50 and has a second refractive index
Figure 02_image023
the lens. Specifically, the first refractive index of the optical system 1
Figure 02_image021
and the second index of refraction
Figure 02_image023
satisfy
Figure 02_image019
. Furthermore, the distance between the first lens 10 and the second lens 12 of the optical system 1
Figure 02_image009
Satisfied
Figure 02_image025
millimeters (mm).

本發明中，第一透鏡10包括第一側面101和第二側面102，第一側面101為朝向人眼52的表面，第二側面102為朝向顯示屏50方的表面；第二透鏡12包括第一側面121和第二側面122，第一側面121為朝向第一透鏡10之第二側面102的表面，第二側面122為朝向顯示屏50方的表面。本發明中，第一透鏡10與第二透鏡12中只有其中一者為菲涅爾透鏡（Fresnel lens）；舉例而言，第二透鏡12之第二側面122可為菲涅爾面，其餘三面非菲涅爾面之表面，也就是第二透鏡12之第一側面121以及第一透鏡10之第一側面101和第二側面102為球面或非球面；或者，第一透鏡10之第二側面102為菲涅爾面，其餘三面非菲涅爾面之表面，也就是第一透鏡10之第一側面101以及第二透鏡12之第一側面121和第二側面122為球面或非球面；又或者，第二透鏡12之第一側面121和第二側面122同時為菲涅爾面，其餘兩面非菲涅爾面之表面，也就是第一透鏡10之第一側面101和第二側面102為球面或非球面。In the present invention, the first lens 10 includes a first side 101 and a second side 102, the first side 101 is a surface facing the human eye 52, and the second side 102 is a surface facing the display screen 50; the second lens 12 includes a A side surface 121 and a second side surface 122 . The first side surface 121 is the surface facing the second side surface 102 of the first lens 10 , and the second side surface 122 is the surface facing the display screen 50 . In the present invention, only one of the first lens 10 and the second lens 12 is a Fresnel lens; for example, the second side 122 of the second lens 12 can be a Fresnel surface, and the other three surfaces The surface of the non-Fresnel surface, that is, the first side 121 of the second lens 12 and the first side 101 and the second side 102 of the first lens 10 are spherical or aspheric; or, the second side of the first lens 10 102 is a Fresnel surface, and the other three surfaces are not Fresnel surfaces, that is, the first side 101 of the first lens 10 and the first side 121 and the second side 122 of the second lens 12 are spherical or aspherical; Alternatively, the first side 121 and the second side 122 of the second lens 12 are both Fresnel surfaces, and the surfaces of the other two surfaces that are not Fresnel surfaces, that is, the first side 101 and the second side 102 of the first lens 10 are spherical or aspherical.

本發明之光學系統1的結構較佳為滿足以下條件（1）～（5）中任一者或多者： （1）

Figure 02_image001
； 其中
Figure 02_image003
、
Figure 02_image005
分別為第一透鏡10與第二透鏡12之焦距。 （2）
Figure 02_image027
； 其中
Figure 02_image011
為第一透鏡10之第二側面102的光學有效半徑，
Figure 02_image029
為第二透鏡12之第一側面121的光學有效半徑。 （3）
Figure 02_image031
； 其中
Figure 02_image033
為光學系統1之有效焦距，
Figure 02_image007
為可視範圍半徑。
Figure 02_image043
； 其中
Figure 02_image033
為光學系統1之有效焦距，
Figure 02_image011
為第一透鏡之第二側面的光學有效半徑。 （5）
Figure 02_image037
； 其中
Figure 02_image039
為第一透鏡10之色散係數(或阿貝數)，
Figure 02_image041
為第二透鏡12之色散係數(或阿貝數)。 The structure of the optical system 1 of the present invention preferably satisfies any one or more of the following conditions (1) to (5): (1)
Figure 02_image001
; in
Figure 02_image003
,
Figure 02_image005
are the focal lengths of the first lens 10 and the second lens 12, respectively. (2)
Figure 02_image027
; in
Figure 02_image011
is the optical effective radius of the second side surface 102 of the first lens 10,
Figure 02_image029
is the optical effective radius of the first side surface 121 of the second lens 12 . (3)
Figure 02_image031
; in
Figure 02_image033
is the effective focal length of optical system 1,
Figure 02_image007
is the visible range radius.
Figure 02_image043
; in
Figure 02_image033
is the effective focal length of optical system 1,
Figure 02_image011
is the optical effective radius of the second side surface of the first lens. (5)
Figure 02_image037
; in
Figure 02_image039
is the dispersion coefficient (or Abbe number) of the first lens 10,
Figure 02_image041
is the dispersion coefficient (or Abbe number) of the second lens 12 .

上述條件（1），條件(2)、(3)可以有效增大視角，並達到良好的像差平衡，條件(4)可增大視角，並達到輕薄化，而條件(5)則可產生良好的色差修正，並有效提高觀影對比度。The above conditions (1), conditions (2) and (3) can effectively increase the viewing angle and achieve good aberration balance, condition (4) can increase the viewing angle and achieve thinning, and condition (5) can produce Good chromatic aberration correction and effectively improve viewing contrast.

接著，請參照以下實驗數據，以證明本發明之光學系統具有良好的成像效果。Next, please refer to the following experimental data to prove that the optical system of the present invention has a good imaging effect.

在第1圖之第一實施例中，第二透鏡12為菲涅爾透鏡，且第二透鏡12之第二側面122為菲涅爾面，其餘三面非菲涅爾面之表面為非球面。此實施例之光學系統1的有效焦距

Figure 02_image045
mm，兩倍水平方向上的半視場角2ω=100°，第一透鏡10之有效焦距f1 = 765 mm，第二透鏡12之有效焦距f2 = 21.6 mm，光學系統1的總長
Figure 02_image047
mm，可視範圍半徑
Figure 02_image049
mm的條件下，第一透鏡10及第二透鏡12分別表示為L1、L2，透鏡參數(表一)以及非球面係數(表二)如下： 表面 表面型態 曲率半徑 厚度 折射率 阿貝數 半徑 透鏡 光圈 球面 無限 15 　 　 2 　 2 非球面 2500 6.7 1.53000 56.0 20.4 L1 3 非球面 -488.240299 1 　 　 21.2 4 非球面 220.7268123 6.7 1.49000 57.4 25 L2 5 菲涅爾面 -11.1019216 20.1 　 　 25 6 球面 無限         　 表一、透鏡參數 透鏡面 K A B C D E 2 0.000 -1.606E-05 7.241E-08 -9.589E-11 3.453E-14 0.000E+00 3 46.949 -1.699E-05 8.694E-08 -4.692E-10 5.471E-13 0.000E+00 4 0.000 1.020E-05 -2.574E-09 1.420E-12 3.320E-16 0.000E+00 5 -0.976 1.087E-05 -4.975E-09 1.955E-10 -2.023E-13 0.000E+00 表二、非球面係數 In the first embodiment of FIG. 1 , the second lens 12 is a Fresnel lens, the second side 122 of the second lens 12 is a Fresnel surface, and the surfaces of the other three non-Fresnel surfaces are aspherical. Effective focal length of the optical system 1 of this embodiment
Figure 02_image045
mm, twice the half angle of view in the horizontal direction 2ω=100°, the effective focal length of the first lens 10 is f1 = 765 mm, the effective focal length of the second lens 12 is f2 = 21.6 mm, the total length of the optical system 1
Figure 02_image047
mm, radius of visible range
Figure 02_image049
Under the condition of mm, the first lens 10 and the second lens 12 are denoted as L1 and L2 respectively, and the lens parameters (Table 1) and aspheric coefficients (Table 2) are as follows: surface surface pattern Radius of curvature thickness refractive index Abbe number radius lens aperture spherical unlimited 15 2 2 Aspherical 2500 6.7 1.53000 56.0 20.4 L1 3 Aspherical -488.240299 1 21.2 4 Aspherical 220.7268123 6.7 1.49000 57.4 25 L2 5 Fresnel surface -11.1019216 20.1 25 6 spherical unlimited Table 1. Lens parameters lens surface K A B C D E 2 0.000 -1.606E-05 7.241E-08 -9.589E-11 3.453E-14 0.000E+00 3 46.949 -1.699E-05 8.694E-08 -4.692E-10 5.471E-13 0.000E+00 4 0.000 1.020E-05 -2.574E-09 1.420E-12 3.320E-16 0.000E+00 5 -0.976 1.087E-05 -4.975E-09 1.955E-10 -2.023E-13 0.000E+00 Table 2. Aspheric coefficients

上表二中之A、B、C、D、E、K等為非球面公式中之參數，非球面公式為

Figure 02_image051
，其中C=1/R，R為曲率半徑，K為圓錐係數。 A, B, C, D, E, K, etc. in the above table 2 are the parameters in the aspheric formula, and the aspheric formula is
Figure 02_image051
, where C=1/R, R is the radius of curvature, and K is the cone coefficient.

第2圖所示為本發明之第二實施例的光學系統1’，第一透鏡10為菲涅爾透鏡，且第一透鏡10之第二側面102為菲涅爾面，其餘三面非菲涅爾面之表面為非球面。此實施例之光學系統1’的有效焦距

Figure 02_image053
mm，兩倍水平方向上的半視場角2ω=100°，第一透鏡10之有效焦距f1 = 27.9 mm，第二透鏡12之有效焦距f2 = 119.8mm，光學系統1’的總長
Figure 02_image055
mm，可視範圍半徑
Figure 02_image049
mm的條件下，透鏡參數(表三)以及非球面係數(表四)如下： 表面 表面型態 曲率半徑 厚度 折射率 阿貝數 半徑 透鏡 光圈 球面 無限 15 　 　 2 　 2 非球面 248.7265058 5.5 1.49000 57.4 22 L1 3 菲涅爾面 -14.48924042 1 　 　 22 4 非球面 79.43953969 3 1.64000 22.4 22.5 L2 5 非球面 -3851.704485 19.1     22.5 6 球面 無限         　 表三、透鏡參數 透鏡面 K A B C D E F 2 82.492 1.360E-08 3.434E-09 2.342E-11 -5.449E-14 7.438E-17 0.000E+00 3 -0.707 -3.312E-08 -3.691E-08 2.035E-11 6.881E-14 2.022E-16 0.000E+00 4 9.171 4.608E-08 -3.033E-10 -3.999E-13 5.419E-17 1.692E-18 0.000E+00 5 0.000 3.398E-06 2.502E-08 4.134E-11 -6.001E-16 -1.135E-16 0.000E+00 表四、非球面係數 FIG. 2 shows the optical system 1 ′ according to the second embodiment of the present invention, the first lens 10 is a Fresnel lens, the second side 102 of the first lens 10 is a Fresnel surface, and the other three surfaces are not Fresnel The surface of the surface is aspherical. The effective focal length of the optical system 1' of this embodiment
Figure 02_image053
mm, twice the half angle of view in the horizontal direction 2ω=100°, the effective focal length of the first lens 10 is f1 = 27.9 mm, the effective focal length of the second lens 12 is f2 = 119.8 mm, the total length of the optical system 1'
Figure 02_image055
mm, radius of visible range
Figure 02_image049
Under the condition of mm, the lens parameters (Table 3) and aspheric coefficients (Table 4) are as follows: surface surface pattern Radius of curvature thickness refractive index Abbe number radius lens aperture spherical unlimited 15 2 2 Aspherical 248.7265058 5.5 1.49000 57.4 twenty two L1 3 Fresnel surface -14.48924042 1 twenty two 4 Aspherical 79.43953969 3 1.64000 22.4 22.5 L2 5 Aspherical -3851.704485 19.1 22.5 6 spherical unlimited Table 3. Lens parameters lens surface K A B C D E F 2 82.492 1.360E-08 3.434E-09 2.342E-11 -5.449E-14 7.438E-17 0.000E+00 3 -0.707 -3.312E-08 -3.691E-08 2.035E-11 6.881E-14 2.022E-16 0.000E+00 4 9.171 4.608E-08 -3.033E-10 -3.999E-13 5.419E-17 1.692E-18 0.000E+00 5 0.000 3.398E-06 2.502E-08 4.134E-11 -6.001E-16 -1.135E-16 0.000E+00 Table 4. Aspheric coefficients

第3圖所示為本發明之第三實施例的光學系統1’’，第二透鏡12為菲涅爾透鏡，且第二透鏡12之第一側面121和第二側面122同時為菲涅爾面，其餘兩面非菲涅爾面之表面為非球面。此實施例之光學系統1’’的有效焦距

Figure 02_image057
mm，兩倍水平方向上的半視場角2ω=110°，第一透鏡10之有效焦距f1 =83.2 mm，第二透鏡12之有效焦距f2 = 36.6mm，光學系統1’’的總長
Figure 02_image059
mm，可視範圍半徑
Figure 02_image061
mm的條件下，透鏡參數(表五)以及非球面係數(表六)如下： 表面 表面型態 曲率半徑 厚度 折射率 阿貝數 半徑 透鏡 光圈 球面 無限 15 　 　 2 　 2 非球面 -30.49115768 8.6 1.53000 56.0 21.4 L1 3 非球面 -19.85066873 1 　 　 23.2 4 菲涅爾面 217.7681922 2 1.49000 57.4 29.2 L2 5 菲涅爾面 -19.67147398 24.6     28.8 6 球面 無限         　 表五、透鏡參數 透鏡面 K A B C D E F 2 -76.413 4.897E-06 9.814E-10 -4.692E-12 -9.310E-15 0.000E+00 0.000E+00 3 -6.789 3.181E-06 -9.423E-09 2.552E-12 -3.199E-15 0.000E+00 0.000E+00 4 0.000 -3.554E-06 -6.227E-10 3.257E-12 7.712E-15 0.000E+00 0.000E+00 5 -0.658 -1.155E-05 8.124E-09 1.245E-11 1.286E-14 0.000E+00 0.000E+00 表六、非球面係數 FIG. 3 shows the optical system 1 ″ according to the third embodiment of the present invention, the second lens 12 is a Fresnel lens, and the first side 121 and the second side 122 of the second lens 12 are both Fresnel The surfaces of the other two non-Fresnel surfaces are aspherical. Effective focal length of the optical system 1 ″ of this embodiment
Figure 02_image057
mm, twice the half angle of view in the horizontal direction 2ω=110°, the effective focal length of the first lens 10 is f1 = 83.2 mm, the effective focal length of the second lens 12 is f2 = 36.6 mm, the total length of the optical system 1″
Figure 02_image059
mm, radius of visible range
Figure 02_image061
Under the condition of mm, the lens parameters (Table 5) and aspheric coefficients (Table 6) are as follows: surface surface pattern Radius of curvature thickness refractive index Abbe number radius lens aperture spherical unlimited 15 2 2 Aspherical -30.49115768 8.6 1.53000 56.0 21.4 L1 3 Aspherical -19.85066873 1 23.2 4 Fresnel surface 217.7681922 2 1.49000 57.4 29.2 L2 5 Fresnel surface -19.67147398 24.6 28.8 6 spherical unlimited Table 5. Lens parameters lens surface K A B C D E F 2 -76.413 4.897E-06 9.814E-10 -4.692E-12 -9.310E-15 0.000E+00 0.000E+00 3 -6.789 3.181E-06 -9.423E-09 2.552E-12 -3.199E-15 0.000E+00 0.000E+00 4 0.000 -3.554E-06 -6.227E-10 3.257E-12 7.712E-15 0.000E+00 0.000E+00 5 -0.658 -1.155E-05 8.124E-09 1.245E-11 1.286E-14 0.000E+00 0.000E+00 Table 6. Aspheric coefficients

本發明之第一至第三實施例的結構於各項條件公式中的數據彙整如下表七： 條件 第一實施例 第二實施例 第三實施例

Figure 02_image063
0.047 0.044 0.039
Figure 02_image065
 1.18 1.02 1.26
Figure 02_image067
 0.93 1.00 0.94
Figure 02_image069
 0.50 0.52 0.52
Figure 02_image071
 7.53 6.32 7.53
Figure 02_image073
 1.32 1.28 1.32
Figure 02_image075
 1.00 1.00 1.00 表七、數據彙整列表 The data of the structures of the first to third embodiments of the present invention in each conditional formula are summarized in Table 7 below: condition first embodiment Second Embodiment Third Embodiment
Figure 02_image063
 0.047 0.044 0.039
Figure 02_image065
 1.18 1.02 1.26
Figure 02_image067
 0.93 1.00 0.94
Figure 02_image069
 0.50 0.52 0.52
Figure 02_image071
 7.53 6.32 7.53
Figure 02_image073
 1.32 1.28 1.32
Figure 02_image075
 1.00 1.00 1.00 Table 7. Data summary list

綜上所述，本發明所提供之頭戴型顯示器之光學系統利用二透鏡之組合，並僅將其中一透鏡設置為菲涅爾透鏡來進行焦距調節，可在小屏幕、大視場角的設計下達到良好之像差校正，且可降低鏡組之重量與體積，同時，可以有效地抑制雜散光，從而令影像品質獲得優化，可以提昇使用者實境體驗的視覺感受。再者，本發明所提供之頭戴型顯示器之光學系統的可視範圍為：Ф28mm～Ф52mm，適用屏幕 2 吋～3 吋，且特別可適用於頭戴型顯示器、遊戲機等產品上的廣角鏡頭或廣角目鏡。To sum up, the optical system of the head-mounted display provided by the present invention utilizes a combination of two lenses, and only one of the lenses is set as a Fresnel lens to adjust the focal length, which can be used in small screens and large viewing angles. The design achieves good aberration correction, and can reduce the weight and volume of the lens group. At the same time, it can effectively suppress stray light, thereby optimizing the image quality and improving the visual experience of the user's real-world experience. Furthermore, the visual range of the optical system of the head-mounted display provided by the present invention is: Ф28mm～Ф52mm, suitable for screens of 2 inches to 3 inches, and especially suitable for wide-angle lenses or wide-angle lenses on products such as head-mounted displays and game consoles. Wide angle eyepiece.

唯以上所述者，僅為本發明之較佳實施例而已，並非用來限定本發明實施之範圍。故即凡依本發明申請範圍所述之特徵及精神所為之均等變化或修飾，均應包括於本發明之申請專利範圍內。Only the above descriptions are only preferred embodiments of the present invention, and are not intended to limit the scope of the present invention. Therefore, all equivalent changes or modifications made in accordance with the features and spirits described in the scope of the application of the present invention shall be included in the scope of the application for patent of the present invention.

1、1’、1’’ :光學系統 10:第一透鏡 101:第一側面 102:第二側面 12:第二透鏡 121:第一側面 122:第二側面 50:顯示屏 52:人眼

Figure 02_image007
:可視範圍半徑
Figure 02_image009
:間距
Figure 02_image011
:光學有效半徑
Figure 02_image029
:光學有效半徑
Figure 02_image077
:光學系統之半視場角
Figure 02_image079
:光學系統的總長 1, 1', 1'': optical system 10: first lens 101: first side 102: second side 12: second lens 121: first side 122: second side 50: display screen 52: human eye
Figure 02_image007
: Visible range radius
Figure 02_image009
:spacing
Figure 02_image011
: Optical effective radius
Figure 02_image029
: Optical effective radius
Figure 02_image077
: Half field of view of the optical system
Figure 02_image079
: total length of the optical system

第1圖為本發明頭戴型顯示器之光學系統之第一實施例之示意圖。 第2圖為本發明頭戴型顯示器之光學系統之第二實施例之示意圖。 第3圖為本發明頭戴型顯示器之光學系統之第三實施例之示意圖。 FIG. 1 is a schematic diagram of a first embodiment of the optical system of the head-mounted display of the present invention. FIG. 2 is a schematic diagram of a second embodiment of the optical system of the head-mounted display of the present invention. FIG. 3 is a schematic diagram of a third embodiment of the optical system of the head-mounted display of the present invention.

1:光學系統 1: Optical system

10:第一透鏡 10: The first lens

101:第一側面 101: The first side

102:第二側面 102: Second side

12:第二透鏡 12: Second lens

121:第一側面 121: The first side

122:第二側面 122: Second side

50:顯示屏 50: Display

52:人眼 52: Human Eye

H:可視範圍半徑 H : Visible range radius

S:間距 S: Spacing

SD 2:光學有效半徑 SD 2 : Optical Effective Radius

SD 3:光學有效半徑 SD 3 : Optical Effective Radius

ω:光學系統之半視場角 ω : Half field of view of the optical system

TTL:光學系統的總長 TTL : Total length of optical system

Claims (8)

一種頭戴型顯示器之光學系統，其包括：一第一透鏡，為具有一第一折射率之透鏡，該第一透鏡之一第一側面朝向一人眼；以及一第二透鏡，為具有一第二折射率之透鏡，該第二透鏡之一第一側面朝向該第一透鏡之一第二側面，該第二透鏡之一第二側面朝向一顯示屏；其中，該頭戴型顯示器之光學系統滿足以下條件：該第一透鏡與該第二透鏡中只有其中一者為菲涅爾透鏡，且0<
Figure 109142278-A0305-02-0012-2
+
Figure 109142278-A0305-02-0012-3
0.05，該f 1、f 2分別為該第一透鏡與該第二透鏡之焦距；0.85
Figure 109142278-A0305-02-0012-5
1.7，SD 2為該第一透鏡之該第二側面的光學有效半徑，SD 3為該第二透鏡之該第一側面的光學有效半徑；及0.85
Figure 109142278-A0305-02-0012-6
1.6，F為該光學系統之有效焦距，H為可視範圍半徑。 An optical system of a head-mounted display, comprising: a first lens, which is a lens with a first refractive index, a first side surface of the first lens faces an eye; and a second lens, which has a first A lens with two refractive indices, a first side of the second lens faces a second side of the first lens, and a second side of the second lens faces a display screen; wherein, the optical system of the head-mounted display The following conditions are met: only one of the first lens and the second lens is a Fresnel lens, and 0<
Figure 109142278-A0305-02-0012-2
+
Figure 109142278-A0305-02-0012-3
0.05, the f 1 and f 2 are the focal lengths of the first lens and the second lens respectively; 0.85
Figure 109142278-A0305-02-0012-5
1.7, SD 2 is the optically effective radius of the second side of the first lens, SD 3 is the optically effective radius of the first side of the second lens; and 0.85
Figure 109142278-A0305-02-0012-6
1.6, F is the effective focal length of the optical system, and H is the radius of the visible range. 如請求項1所述之頭戴型顯示器之光學系統，其中該第二透鏡之該第二側面為菲涅爾面，該第二透鏡之該第一側面以及該第一透鏡之該第一側面和該第二側面為球面或非球面。 The optical system of the head-mounted display according to claim 1, wherein the second side surface of the second lens is a Fresnel surface, the first side surface of the second lens and the first side surface of the first lens and the second side surface is spherical or aspherical. 如請求項1所述之頭戴型顯示器之光學系統，其中該第一透鏡之該第二側面為菲涅爾面，該第一透鏡之該第一側面以及該第二透鏡之該第一側面和該第二側面為球面或非球面。 The optical system of the head-mounted display according to claim 1, wherein the second side surface of the first lens is a Fresnel surface, the first side surface of the first lens and the first side surface of the second lens and the second side surface is spherical or aspherical. 如請求項1所述之頭戴型顯示器之光學系統，其中該第二透鏡之該第一側面和該第二側面為菲涅爾面，該第一透鏡之該第一側面和該第二側面 為球面或非球面。 The optical system of the head-mounted display according to claim 1, wherein the first side surface and the second side surface of the second lens are Fresnel surfaces, and the first side surface and the second side surface of the first lens are Fresnel surfaces. be spherical or aspherical. 如請求項1所述之頭戴型顯示器之光學系統，其中該光學系統更滿足1.15
Figure 109142278-A0305-02-0013-8
1.41，n 1為該第一折射率，n 2為該第二折射率。 The optical system of the head-mounted display according to claim 1, wherein the optical system further satisfies 1.15
Figure 109142278-A0305-02-0013-8
1.41, n 1 is the first refractive index, and n 2 is the second refractive index. 如請求項1所述之頭戴型顯示器之光學系統，其中該光學系統更滿足0
Figure 109142278-A0305-02-0013-11
S
Figure 109142278-A0305-02-0013-12
20公厘(mm)，S為該第一透鏡和該第二透鏡之間的間距。 The optical system of the head-mounted display as claimed in claim 1, wherein the optical system further satisfies 0
Figure 109142278-A0305-02-0013-11
S
Figure 109142278-A0305-02-0013-12
20 millimeters (mm), S is the distance between the first lens and the second lens. 如請求項1所述之頭戴型顯示器之光學系統，其中該光學系統更滿足0.35
Figure 109142278-A0305-02-0013-9
0.85，F為該光學系統之有效焦距，SD 2該為第一透鏡之該第二側面的光學有效半徑。 The optical system of the head-mounted display according to claim 1, wherein the optical system further satisfies 0.35
Figure 109142278-A0305-02-0013-9
0.85, F is the effective focal length of the optical system, SD 2 is the optical effective radius of the second side surface of the first lens. 如請求項1所述之頭戴型顯示器之光學系統，其中該光學系統更滿足5.85
Figure 109142278-A0305-02-0013-10
7.8，Vd 1為該第一透鏡之色散係數，Vd 2為該第二透鏡之色散係數。 The optical system of the head-mounted display according to claim 1, wherein the optical system further satisfies 5.85
Figure 109142278-A0305-02-0013-10
7.8, V d 1 is the dispersion coefficient of the first lens, and V d 2 is the dispersion coefficient of the second lens.
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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI585462B (en) * 2015-12-01 2017-06-01 中強光電股份有限公司 Head mounted display device
CN206960773U (en) * 2017-01-24 2018-02-02 上海欢米光学科技有限公司 A kind of optical system of virtual reality device
WO2019196865A1 (en) * 2018-04-12 2019-10-17 京东方科技集团股份有限公司 Vr lens structure and display device
US10705340B2 (en) * 2017-02-14 2020-07-07 Facebook Technologies, Llc Lens assembly including a silicone fresnel lens

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI585462B (en) * 2015-12-01 2017-06-01 中強光電股份有限公司 Head mounted display device
CN206960773U (en) * 2017-01-24 2018-02-02 上海欢米光学科技有限公司 A kind of optical system of virtual reality device
US10705340B2 (en) * 2017-02-14 2020-07-07 Facebook Technologies, Llc Lens assembly including a silicone fresnel lens
WO2019196865A1 (en) * 2018-04-12 2019-10-17 京东方科技集团股份有限公司 Vr lens structure and display device

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