TWI597522B - Magnified lens set for virtual reality - Google Patents

Magnified lens set for virtual reality Download PDF

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TWI597522B
TWI597522B TW105121169A TW105121169A TWI597522B TW I597522 B TWI597522 B TW I597522B TW 105121169 A TW105121169 A TW 105121169A TW 105121169 A TW105121169 A TW 105121169A TW I597522 B TWI597522 B TW I597522B
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lens
image side
focal length
virtual reality
lens group
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TW105121169A
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TW201802534A (en
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Shih Yuang Chang
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Tan Cian Technology Co Ltd
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Description

虛擬實境用的放大透鏡組Magnifying lens group for virtual reality

本發明是有關於一種透鏡組合,特別是指一種虛擬實境用的放大透鏡組。The present invention relates to a lens assembly, and more particularly to a magnifying lens group for virtual reality.

虛擬實境(Virtual Reality,VR)是利用電腦模擬產生一個三維空間的虛擬世界,提供使用者關於視覺等感官的模擬,讓使用者感覺仿佛身歷其境。Virtual Reality (VR) is a virtual world that uses computer simulation to generate a three-dimensional space, providing users with a simulation of the senses such as vision, making the user feel as if they are immersed.

頭戴式顯示器(Head Mount Display,HMD)為一種穿戴於使用者頭上的影像顯示器,以用來提供虛擬實境的視覺感官模擬呈現平台裝置。頭戴式顯示器主要是將一微小尺寸的顯示元件,以眼鏡或頭盔等形式放置於使用者眼前,且透過一光學透鏡組近距離對使用者眼睛投射該顯示元件所顯示的影像。A Head Mount Display (HMD) is an image display that is worn on the user's head to provide a visually realistic visual presentation platform device for virtual reality. The head-mounted display mainly places a small-sized display element in front of the user's eyes in the form of glasses or a helmet, and projects an image displayed by the display element to the user's eyes through an optical lens group at a close distance.

然而,上述光學透鏡組必須能將上述顯示元件的影像放大後,並以一較大視場角對於使用者的眼睛產生較廣視角影像投射,盡可能涵蓋使用者眼睛的視場角範圍,且上述光學透鏡組同時須具有良好的成像品質,從而能讓投射進使用者眼睛的影像模擬更接近眼睛實際上所接受到的環境影像,以讓使用者身歷其境的視覺感受能有所提升。However, the above optical lens group must be capable of magnifying the image of the display element and generating a wider viewing angle image projection for the user's eyes at a larger angle of view, covering as much as possible the range of the field of view of the user's eyes, and The optical lens assembly described above must also have good image quality, so that the image projected into the user's eyes can be simulated closer to the environmental image actually received by the eye, so that the visual experience of the user can be improved.

經由上述說明可知,如何製作出符合虛擬實境用的頭帶式顯示器所需求的光學透鏡組,並持續提升其成像品質,長久以來一直是本領域產、官、學界所熱切追求的目標。According to the above description, how to produce an optical lens group required for a head-mounted display for virtual reality and to continuously improve its image quality has long been a target pursued by the industry, the official, and the academic community.

因此,本發明之目的,即在提供一種具有廣視場角、能有效校正系統像差及校正系統色差的虛擬實境用的放大透鏡組。Accordingly, it is an object of the present invention to provide a magnifying lens group for a virtual reality having a wide angle of view, effective correction of system aberrations, and correction of system chromatic aberration.

於是,本發明虛擬實境用的放大透鏡組,從物側至像側沿一光軸依序包含一孔徑光欄、一第一透鏡、一第二透鏡,及一第三透鏡。Therefore, the magnifying lens group for virtual reality of the present invention sequentially includes an aperture stop, a first lens, a second lens, and a third lens along an optical axis from the object side to the image side.

該第一透鏡具正屈折力且包括一朝向物側且使成像光線通過的物側面及一朝向像側且使成像光線通過的像側面。該第一透鏡的該像側面為凸向像側的凸面。The first lens has a positive refractive power and includes an object side that faces the object side and passes imaging light and an image side that faces the image side and passes imaging light. The image side surface of the first lens is a convex surface that is convex toward the image side.

該第二透鏡具負屈折力且包括一朝向物側且使成像光線通過的物側面及一朝向像側且使成像光線通過的像側面。The second lens has a negative refractive power and includes an object side that faces the object side and passes imaging light and an image side that faces the image side and allows imaging light to pass.

該第三透鏡具負屈折力且包括一朝向物側且使成像光線通過的物側面及一朝向像側且使成像光線通過的像側面。該第三透鏡的該像側面為凸向像側的非球面凸面且從該光軸至非球面終止點具有至少一反曲點。The third lens has a negative refractive power and includes an object side facing the object side and passing the imaging light and an image side facing the image side and passing the imaging light. The image side surface of the third lens is an aspherical convex surface convex toward the image side and has at least one inflection point from the optical axis to the aspheric end point.

其中,該放大透鏡組滿足0.26<f1/f<0.65、0.57<|f2|/f<2.29、0.36<|f3|/f<0.77及FOV>100˚,f1為該第一透鏡的焦距,f2為該第二透鏡的焦距,f3為該第三透鏡的焦距,f為該放大透鏡組的系統總焦距,FOV為該放大透鏡組的系統總視場角。Wherein, the magnifying lens group satisfies 0.26<f1/f<0.65, 0.57<|f2|/f<2.29, 0.36<|f3|/f<0.77, and FOV>100 ̊, f1 is the focal length of the first lens, f2 For the focal length of the second lens, f3 is the focal length of the third lens, f is the total focal length of the system of the magnifying lens group, and FOV is the total field of view of the system of the magnifying lens group.

本發明之功效在於:透過該第一透鏡具正屈折力及其像側面為凸面、該第二透鏡具負屈折力,且該第三透鏡具有負屈折力及其像側面為凸面的透鏡屈折力及面結構配置,且該放大透鏡組的各項光學參數間的關係式滿足上述條件式時,本發明虛擬實境用的放大透鏡組能有效校正系統像差,同時達到具有較廣系統總視場角的目的。The effect of the present invention is that the first lens has a positive refractive power and a side surface thereof is a convex surface, the second lens has a negative refractive power, and the third lens has a negative refractive power and a lens refractive power of the convex side of the image side. When the relationship between the optical parameters of the magnifying lens group satisfies the above conditional expression, the magnifying lens group for virtual reality of the present invention can effectively correct system aberrations and achieve a wider system total view. The purpose of the field corner.

在本發明被詳細描述之前,應當注意在以下的說明內容中,類似的元件是以相同的編號來表示。Before the present invention is described in detail, it should be noted that in the following description, similar elements are denoted by the same reference numerals.

參閱圖1,本發明虛擬實境用的放大透鏡組之一第一實施例,從物側至像側沿一光軸I依序包含一孔徑光欄10、一第一透鏡1、一第二透鏡2、一第三透鏡3,及一保護玻璃片4。此外,為了滿足產品輕量化的需求,該第一透鏡1、該第二透鏡2及該第三透鏡3皆為塑膠材質所製成,但該第一透鏡1、該第二透鏡2及該第三透鏡3的材質仍不以此為限制。Referring to FIG. 1, a first embodiment of a magnifying lens group for virtual reality according to the present invention includes an aperture stop 10, a first lens 1, and a second along an optical axis I from the object side to the image side. The lens 2, a third lens 3, and a protective glass sheet 4. In addition, in order to meet the demand for light weight of the product, the first lens 1, the second lens 2, and the third lens 3 are all made of a plastic material, but the first lens 1, the second lens 2, and the first The material of the three lenses 3 is not limited thereto.

該第一透鏡1具有正屈折力且包括一朝向物側且使成像光線通過的物側面11及一朝向像側且使成像光線通過的像側面12。該第一透鏡1的該物側面11為凸向物側的凸面,該第一透鏡1的該像側面12為凸向像側的凸面。該第一透鏡1的焦距為17.7200mm,該第一透鏡1的阿貝數(Abbe number)為56。The first lens 1 has a positive refractive power and includes an object side 11 facing the object side and passing imaging light, and an image side surface 12 facing the image side and passing imaging light. The object side surface 11 of the first lens 1 is a convex surface on the convex object side, and the image side surface 12 of the first lens 1 is a convex surface convex toward the image side. The focal length of the first lens 1 is 17.720 mm, and the Abbe number of the first lens 1 is 56.

該第二透鏡2具有負屈折力且包括一朝向物側且使成像光線通過的物側面21及一朝向像側且使成像光線通過的像側面22。該第二透鏡2的該物側面21為凹向物側的凹面,該第二透鏡2的該像側面22為凸向像側的凸面。該第二透鏡2的焦距為-62.2120mm,該第二透鏡2的阿貝數為56。The second lens 2 has a negative refractive power and includes an object side 21 facing the object side and passing the imaging light, and an image side 22 facing the image side and passing the imaging light. The object side surface 21 of the second lens 2 is a concave surface on the concave object side, and the image side surface 22 of the second lens 2 is a convex surface convex toward the image side. The focal length of the second lens 2 is -62.2120 mm, and the Abbe number of the second lens 2 is 56.

該第三透鏡3具有負屈折力且包括一朝向物側且使成像光線通過的物側面31及一朝向像側且使成像光線通過的像側面32。該第三透鏡3的該物側面31為凹向物側的凹面,該第三透鏡3的該像側面32為凸向像側的非球面凸面且從該光軸I至非球面終止點具有一反曲點,但不以此為限,也可視不同凹凸變化而具有兩個以上的反曲點。該第三透鏡3的焦距為-20.9150mm,該第三透鏡3的阿貝數為22.4。The third lens 3 has a negative refractive power and includes an object side 31 facing the object side and passing the imaging light, and an image side 32 facing the image side and passing the imaging light. The object side surface 31 of the third lens 3 is a concave surface on the concave object side, and the image side surface 32 of the third lens 3 is an aspherical convex surface on the convex image side and has a point from the optical axis I to the aspheric end point. The inflection point, but not limited to this, can also have more than two inflection points depending on the unevenness. The focal length of the third lens 3 is -20.9150 mm, and the Abbe number of the third lens 3 is 22.4.

該保護玻璃片4不具有屈折力且包括一朝向物側且使成像光線通過的物側面41及一朝向像側且使成像光線通過的像側面42。The protective glass sheet 4 does not have a refractive power and includes an object side surface 41 that faces the object side and allows imaging light to pass therethrough, and an image side surface 42 that faces the image side and allows imaging light to pass therethrough.

在本實施例中,一用於虛擬實境的頭戴式顯示器的顯示螢幕100是設置於該保護玻璃片4的像側,而使用者的眼睛(圖未示)是位於該放大透鏡組的物側,也就是鄰近該孔徑光欄10。In this embodiment, a display screen 100 for a virtual reality head mounted display is disposed on the image side of the protective glass sheet 4, and a user's eyes (not shown) are located in the magnifying lens group. The object side, that is, adjacent to the aperture stop 10 is located.

在本實施例中,只有上述透鏡具有屈折力。該第一實施例的其他詳細光學數據如圖3所示,且該第一實施例的該放大透鏡組的系統總焦距(effective focal length,簡稱EFL)為35.3578mm,系統總視場角(field of view,簡稱FOV)為125∘,系統長度為58.604mm,該孔徑光欄10的光圈值(Fno)為4.4。其中,該放大透鏡組的系統長度是指由該孔徑光欄10到該顯示螢幕100在光軸I上之間的距離。In the present embodiment, only the above lens has a refractive power. The other detailed optical data of the first embodiment is shown in FIG. 3, and the effective focal length (EFL) of the magnifying lens group of the first embodiment is 35.3578 mm, and the total field of view of the system (field) The view, referred to as FOV, is 125 ∘, the system length is 58.604 mm, and the aperture value (Fno) of the aperture stop 10 is 4.4. The system length of the magnifying lens group refers to the distance between the aperture stop 10 and the display screen 100 on the optical axis I.

該第一透鏡1、該第二透鏡2,及該第三透鏡3的物側面11、21、31及像側面12、22、32,共計六個面均是非球面,而非球面是依下列公式定義:The first lens 1, the second lens 2, and the object side faces 11, 21, 31 and the image side faces 12, 22, 32 of the third lens 3 are aspherical in total, and the non-spherical surface is according to the following formula definition:

-----------(1) -----------(1)

其中:among them:

Y:非球面曲線上的點與光軸I的距離;Y: the distance between the point on the aspheric curve and the optical axis I;

Z:非球面之深度(非球面上距離光軸I為Y的點,與相切於非球面光軸I上頂點之切面,兩者間的垂直距離);Z: the depth of the aspherical surface (the point on the aspherical surface from which the optical axis I is Y, and the tangent plane tangent to the vertex on the aspherical optical axis I, the vertical distance between the two);

R:透鏡表面的曲率半徑;R: radius of curvature of the surface of the lens;

K:錐面係數(conic constant);K: cone constant (conic constant);

:第2i階非球面係數。 : 2ith order aspheric coefficient.

該第一透鏡1、該第二透鏡2,及該第三透鏡3的物側面11、21、31及像側面12、22、32在公式(1)中的錐面係數及各項非球面係數如圖4所示。The first lens 1, the second lens 2, and the object side faces 11, 21, 31 and the image side faces 12, 22, 32 of the third lens 3 have a taper coefficient and various aspheric coefficients in the formula (1) As shown in Figure 4.

參閱圖2,(a)的圖式說明該第一實施例的縱向球差(longitudinal spherical aberration),(b)與(c)的圖式則分別說明該第一實施例有關弧矢(sagittal)方向的像散像差(astigmatism aberration),及子午(tangential)方向的像散像差,(d)的圖式則說明該第一實施例的畸變像差(distortion aberration)。本第一實施例的縱向球差圖式圖2(a)中,每一種波長所成的曲線皆很靠近並向中間靠近,說明每一種波長不同高度的離軸光線皆集中在成像點附近,由每一波長的曲線的偏斜幅度可看出,不同高度的離軸光線的成像點偏差控制在-0.4mm至+0.6mm範圍內,故本實施例確實明顯改善相同波長的球差,此外,三種代表波長彼此間的距離也相當接近,代表不同波長光線的成像位置已相當集中,因而使色像差也獲得明顯改善。Referring to Fig. 2, the diagram of (a) illustrates the longitudinal spherical aberration of the first embodiment, and the patterns of (b) and (c) respectively illustrate the sagittal of the first embodiment. The astigmatism aberration of the direction and the astigmatic aberration in the tangential direction, and the pattern of (d) illustrate the distortion aberration of the first embodiment. In the longitudinal spherical aberration diagram of the first embodiment, in Fig. 2(a), the curves formed by each of the wavelengths are close to each other and are close to the middle, indicating that the off-axis rays of different heights of each wavelength are concentrated near the imaging point. It can be seen from the deflection amplitude of the curve of each wavelength that the imaging point deviation of the off-axis rays of different heights is controlled within the range of -0.4 mm to +0.6 mm, so this embodiment does significantly improve the spherical aberration of the same wavelength, The distances between the three representative wavelengths are also relatively close to each other, and the imaging positions representing the different wavelengths of light are already concentrated, so that the chromatic aberration is also significantly improved.

在圖2(b)與2(c)的二個像散像差圖式中,顯示弧矢方向的像散像差在整個視場範圍內的焦距變化量落在±2.0mm內,及子午方向的像散像差在一大角度以下的視場範圍內的焦距變化量落在±2.0mm內,說明本第一實施例的光學系統能有效校正像差。而圖2(d)的畸變像差圖式則顯示本第一實施例的畸變像差維持在-50%至0%的範圍內,說明本第一實施例的畸變像差已符合光學系統的成像品質要求,故本第一實施例能在擴大系統總視場角之條件下,維持良好光學性能,以符合虛擬實境用的頭帶式顯示器的光學條件需求。In the two astigmatic aberration diagrams of Figs. 2(b) and 2(c), the amount of change in the focal length of the astigmatic aberration in the sagittal direction over the entire field of view falls within ±2.0 mm, and the meridian The amount of change in the focal length of the astigmatic aberration of the direction within a field of view below a large angle falls within ±2.0 mm, indicating that the optical system of the first embodiment can effectively correct the aberration. The distortion aberration diagram of FIG. 2(d) shows that the distortion aberration of the first embodiment is maintained in the range of -50% to 0%, indicating that the distortion aberration of the first embodiment has been consistent with the optical system. The image quality requirements, so the first embodiment can maintain good optical performance under the condition of expanding the total viewing angle of the system to meet the optical condition requirements of the headband display for virtual reality.

參閱圖5,為本發明虛擬實境用的放大透鏡組的一第二實施例,其與該第一實施例大致相似,僅各光學數據、錐面係數、各項非球面係數及元件間的間距參數或多或少有些不同。Referring to FIG. 5, a second embodiment of a magnifying lens group for virtual reality according to the present invention is substantially similar to the first embodiment except for each optical data, a cone coefficient, each aspheric coefficient, and between components. The spacing parameters are somewhat different.

該第一透鏡1的焦距為13.8850mm,該第一透鏡1的阿貝數為56,該第二透鏡2的焦距為-30.4890mm,該第二透鏡2的阿貝數為56,該第三透鏡3的焦距為-18.5750mm,該第三透鏡3的阿貝數為22.4。The focal length of the first lens 1 is 13.8850 mm, the Abbe number of the first lens 1 is 56, the focal length of the second lens 2 is -30.4890 mm, and the Abbe number of the second lens 2 is 56, the third The focal length of the lens 3 is -18.5750 mm, and the Abbe number of the third lens 3 is 22.4.

該第二實施例的其他詳細光學及元件間的間距參數數據如圖7所示,且該第二實施例的該放大透鏡組的系統總焦距為35.9746mm,系統總視場角為120∘,系統長度為67.838mm,該孔徑光欄10的光圈值(Fno)為4.49。The other detailed optical and inter-element spacing parameter data of the second embodiment is shown in FIG. 7, and the total focal length of the system of the magnifying lens group of the second embodiment is 35.9746 mm, and the total viewing angle of the system is 120 ∘. The system length is 67.838 mm, and the aperture value (Fno) of the aperture diaphragm 10 is 4.49.

該第二實施例的該第一透鏡1、該第二透鏡2,及該第三透鏡3的物側面11、21、31及像側面12、22、32在公式(1)中的錐面係數及各項非球面係數如圖8所示。The first lens 1 of the second embodiment, the second lens 2, and the object side faces 11, 21, 31 of the third lens 3 and the image side faces 12, 22, 32 have a taper coefficient in the formula (1) And various aspherical coefficients are shown in Figure 8.

參閱圖6,由(a)的縱向球差、(b)、(c)的像散像差,以及(d)的畸變像差圖式可看出本第二實施例也能維持良好光學性能。Referring to FIG. 6, it can be seen from the longitudinal spherical aberration of (a), the astigmatic aberration of (b), (c), and the distortion aberration diagram of (d) that the second embodiment can also maintain good optical performance. .

參閱圖9,為本發明虛擬實境用的放大透鏡組的一第三實施例,其與該第一實施例大致相似,僅各光學數據、錐面係數、各項非球面係數及元件間的間距參數或多或少有些不同。Referring to FIG. 9, a third embodiment of a magnifying lens group for virtual reality according to the present invention is substantially similar to the first embodiment, except for each optical data, a cone coefficient, each aspheric coefficient, and between components. The spacing parameters are somewhat different.

該第一透鏡1的焦距為13.9320mm,該第一透鏡1的阿貝數為56,該第二透鏡2的焦距為-31.8170mm,該第二透鏡2的阿貝數為56,該第三透鏡3的焦距為-19.3110mm,該第三透鏡3的阿貝數為30.5。The focal length of the first lens 1 is 13.9302 mm, the Abbe number of the first lens 1 is 56, the focal length of the second lens 2 is -31.8170 mm, and the Abbe number of the second lens 2 is 56. The focal length of the lens 3 is -19.3110 mm, and the Abbe number of the third lens 3 is 30.5.

該第三實施例的其他詳細光學及元件間的間距參數數據如圖11所示,且該第三實施例的該放大透鏡組的系統總焦距為36.1157mm,系統總視場角為120∘,系統長度為68.262mm,該孔徑光欄10的光圈值(Fno)為4.51。The other detailed optical and inter-element spacing parameter data of the third embodiment is as shown in FIG. 11, and the total focal length of the system of the magnifying lens group of the third embodiment is 36.1157 mm, and the total viewing angle of the system is 120 ∘. The system length is 68.262 mm, and the aperture value (Fno) of the aperture diaphragm 10 is 4.51.

該第三實施例的該第一透鏡1、該第二透鏡2,及該第三透鏡3的物側面11、21、31及像側面12、22、32在公式(1)中的錐面係數及各項非球面係數如圖12所示。The first lens 1 of the third embodiment, the second lens 2, and the object side faces 11, 21, 31 of the third lens 3 and the image side faces 12, 22, 32 have a taper coefficient in the formula (1) And the aspherical coefficients are shown in Figure 12.

參閱圖10,由(a)的縱向球差、(b)、(c)的像散像差,以及(d)的畸變像差圖式可看出本第三實施例也能維持良好光學性能。Referring to Fig. 10, it can be seen from the longitudinal spherical aberration of (a), the astigmatic aberration of (b), (c), and the distortion aberration diagram of (d) that the third embodiment can also maintain good optical performance. .

參閱圖13,為本發明虛擬實境用的放大透鏡組的一第四實施例,其與該第一實施例大致相似,僅各光學數據、錐面係數、各項非球面係數及元件間的間距參數或多或少有些不同。Referring to FIG. 13, a fourth embodiment of a magnifying lens group for virtual reality according to the present invention is substantially similar to the first embodiment except that each optical data, a taper coefficient, each aspherical coefficient, and between components are The spacing parameters are somewhat different.

該第一透鏡1的焦距為13.3880mm,該第一透鏡1的阿貝數為56,該第二透鏡2的焦距為-29.4270mm,該第二透鏡2的阿貝數為56,該第三透鏡3的焦距為-18.8640mm,該第三透鏡3的阿貝數為30.5。The focal length of the first lens 1 is 13.3880 mm, the Abbe number of the first lens 1 is 56, the focal length of the second lens 2 is -29.4270 mm, and the Abbe number of the second lens 2 is 56, the third The focal length of the lens 3 is -18.8640 mm, and the Abbe number of the third lens 3 is 30.5.

該第四實施例的其他詳細光學及元件間的間距參數數據如圖15所示,且該第四實施例的該放大透鏡組的系統總焦距為36.0273mm,系統總視場角為120∘,系統長度為67.932mm,該孔徑光欄10的光圈值(Fno)為4.5。The other detailed optical and inter-element spacing parameter data of the fourth embodiment is as shown in FIG. 15, and the total focal length of the system of the magnifying lens group of the fourth embodiment is 36.0273 mm, and the total viewing angle of the system is 120 ∘. The system length is 67.932 mm, and the aperture value (Fno) of the aperture diaphragm 10 is 4.5.

該第四實施例的該第一透鏡1、該第二透鏡2,及該第三透鏡3的物側面11、21、31及像側面12、22、32在公式(1)中的錐面係數及各項非球面係數如圖16所示。The first lens 1 of the fourth embodiment, the second lens 2, and the object side faces 11, 21, 31 of the third lens 3 and the image side faces 12, 22, 32 have a taper coefficient in the formula (1) And the various aspherical coefficients are shown in Figure 16.

參閱圖14,由(a)的縱向球差、(b)、(c)的像散像差,以及(d)的畸變像差圖式可看出本第四實施例也能維持良好光學性能。Referring to Fig. 14, it can be seen from the longitudinal spherical aberration of (a), the astigmatic aberration of (b), (c), and the distortion aberration diagram of (d) that the fourth embodiment can also maintain good optical performance. .

參閱圖17,為上述四個實施例的各項光學參數的表格圖,本發明虛擬實境用的放大透鏡組透過該第一透鏡1具正屈折力及其像側面12為凸面、該第二透鏡2具負屈折力,且該第三透鏡3具有負屈折力及其像側面32為凸面的透鏡屈折力及面結構配置,且該放大透鏡組的各項光學參數間的關係式滿足下列條件式時,本發明虛擬實境用的放大透鏡組能有效校正系統像差,同時達到具有較廣系統總視場角的目的:0.26<f1/f<0.65、0.57<|f2|/f<2.29、及0.36<|f3|/f<0.77,其中,f1為該第一透鏡1的焦距,f2為該第二透鏡2的焦距,f3為該第三透鏡3的焦距,f為該放大透鏡組的系統總焦距。Referring to FIG. 17, which is a table diagram of optical parameters of the above four embodiments, the magnifying lens group for virtual reality of the present invention has a positive refractive power through the first lens 1 and a side surface 12 thereof is convex, and the second The lens 2 has a negative refractive power, and the third lens 3 has a negative refractive power and a lens refractive power and a surface structure configuration in which the image side surface 32 is convex, and the relationship between the optical parameters of the magnifying lens group satisfies the following conditions. In the formula, the magnifying lens group for the virtual reality of the present invention can effectively correct the system aberration while achieving the purpose of having a wider system total field of view: 0.26<f1/f<0.65, 0.57<|f2|/f<2.29 And 0.36<|f3|/f<0.77, where f1 is the focal length of the first lens 1, f2 is the focal length of the second lens 2, f3 is the focal length of the third lens 3, and f is the magnifying lens group The total focal length of the system.

當f1/f 小於上述端點值時,像差越大,特別是場曲與像散越嚴重。當f1/f大於上述端點值時,該孔徑光欄10與該第一透鏡1的距離越短,使用上眼睛容易與該第一透鏡1接觸,造成不適。當|f2|/f小於上述端點值時,像差越大,包括球差、慧差、場曲和像散都越嚴重。|f2|/f大於上述端點值時,因系統總焦距f的匹配關係,則f1/f也隨之越大,則會發生上述f1/f問題。當|f3|/f小於上述端點值時,像差越大,特別是光軸上與光軸外色差的越難補償。|f3|/f大於上述端點值時,因系統總焦距f的匹配關係,則f1/f也隨之越大,則會發生上述f1/f問題。When f1/f is less than the above endpoint value, the larger the aberration, especially the field curvature and astigmatism. When f1/f is greater than the above-mentioned endpoint value, the shorter the distance between the aperture stop 10 and the first lens 1, the easier the contact with the first lens 1 is due to the use of the upper eye, causing discomfort. When |f2|/f is smaller than the above endpoint value, the larger the aberration, the more serious the spherical aberration, coma, field curvature and astigmatism are. When |f2|/f is larger than the above endpoint value, the f1/f problem will occur as the matching relationship of the total focal length f of the system increases, and the above f1/f problem occurs. When |f3|/f is smaller than the above-mentioned endpoint value, the larger the aberration, especially the more uneven the color difference from the optical axis on the optical axis. When |f3|/f is larger than the above endpoint value, due to the matching relationship of the total focal length f of the system, f1/f also increases, and the above f1/f problem occurs.

此外,透過該第三透鏡3具有高色散(低阿貝數),也就是該第三透鏡3、該第一透鏡1及該第二透鏡2三者的阿貝數滿足下列條件式時,本發明虛擬實境用的放大透鏡組能有效校正系統色差:20<V1-V3<40及20<V2-V3<40,其中,V1為該第一透鏡1的阿貝數,V2為該第二透鏡2的阿貝數,V3為該第三透鏡3的阿貝數。當V1-V3或V2-V3小於上述端點值時,該放大透鏡組的系統色差會校正不足。當V1-V3或V2-V3大於上述端點值時,該放大透鏡組的系統色差會校正過度。In addition, the third lens 3 has a high dispersion (low Abbe number), that is, when the Abbe number of the third lens 3, the first lens 1 and the second lens 2 satisfies the following conditional expression, The magnifying lens group for inventing the virtual reality can effectively correct the system color difference: 20<V1-V3<40 and 20<V2-V3<40, wherein V1 is the Abbe number of the first lens 1, and V2 is the second The Abbe number of the lens 2, V3 is the Abbe number of the third lens 3. When V1-V3 or V2-V3 is less than the above endpoint value, the system chromatic aberration of the magnifying lens group may be insufficiently corrected. When V1-V3 or V2-V3 is greater than the above endpoint value, the system chromatic aberration of the magnifying lens group is overcorrected.

經由上述說明可知,本發明虛擬實境用的放大透鏡組確實能達成本發明之目的。As apparent from the above description, the magnifying lens group for virtual reality of the present invention can achieve the object of the present invention.

惟以上所述者,僅為本發明之實施例而已,當不能以此限定本發明實施之範圍,凡是依本發明申請專利範圍及專利說明書內容所作之簡單的等效變化與修飾,皆仍屬本發明專利涵蓋之範圍內。However, the above is only the embodiment of the present invention, and the scope of the invention is not limited thereto, and all the equivalent equivalent changes and modifications according to the scope of the patent application and the patent specification of the present invention are still The scope of the invention is covered.

10‧‧‧孔徑光欄
100‧‧‧顯示螢幕
1‧‧‧第一透鏡
11‧‧‧物側面
12‧‧‧像側面
2‧‧‧第二透鏡
21‧‧‧物側面
22‧‧‧像側面
3‧‧‧第三透鏡
31‧‧‧物側面
32‧‧‧像側面
4‧‧‧保護玻璃片
I‧‧‧光軸
10‧‧‧ aperture diaphragm
100‧‧‧ display screen
1‧‧‧first lens
11‧‧‧ ‧ side
12‧‧‧like side
2‧‧‧second lens
21‧‧‧ ‧ side
22‧‧‧like side
3‧‧‧ third lens
31‧‧‧ ‧ side
32‧‧‧like side
4‧‧‧Protective glass
I‧‧‧ optical axis

本發明之其他的特徵及功效,將於參照圖式的實施方式中清楚地呈現,其中: 圖1是本發明虛擬實境用的放大透鏡組的一第一實施例的透鏡配置示意圖; 圖2是該第一實施例的縱向球差、像散場曲曲線及畸變像差圖; 圖3是一表格圖,說明該第一實施例的各透鏡的光學數據; 圖4是一表格圖,說明該第一實施例的各透鏡的錐面係數及非球面係數; 圖5是本發明虛擬實境用的放大透鏡組的一第二實施例的透鏡配置示意圖; 圖6是該第二實施例的縱向球差、像散場曲曲線及畸變像差圖; 圖7是一表格圖,說明該第二實施例的各透鏡的光學數據; 圖8是一表格圖,說明該第二實施例的各透鏡的錐面係數及非球面係數; 圖9是本發明虛擬實境用的放大透鏡組的一第三實施例的透鏡配置示意圖; 圖10是該第三實施例的縱向球差、像散場曲曲線及畸變像差圖; 圖11是一表格圖,說明該第三實施例的各透鏡的光學數據; 圖12是一表格圖,說明該第三實施例的各透鏡的錐面係數及非球面係數; 圖13是本發明虛擬實境用的放大透鏡組的一第四實施例的透鏡配置示意圖; 圖14是該第四實施例的縱向球差、像散場曲曲線及畸變像差圖; 圖15是一表格圖,說明該第四實施例的各透鏡的光學數據; 圖16是一表格圖,說明該第四實施例的各透鏡的錐面係數及非球面係數;及 圖17是一表格圖,說明本發明虛擬實境用的放大透鏡組的該第一實施例至該第四實施例的光學參數。Other features and effects of the present invention will be apparent from the following description of the drawings. FIG. 1 is a schematic diagram of a lens configuration of a first embodiment of a magnifying lens group for virtual reality of the present invention; It is a longitudinal spherical aberration, an astigmatic field curvature curve and a distortion aberration diagram of the first embodiment; FIG. 3 is a table diagram showing optical data of each lens of the first embodiment; FIG. 4 is a table diagram illustrating the FIG. 5 is a schematic view showing a lens configuration of a second embodiment of the magnifying lens group for virtual reality of the present invention; FIG. 6 is a longitudinal view of the second embodiment; FIG. 7 is a table diagram showing optical data of each lens of the second embodiment; FIG. 8 is a table showing the lenses of the second embodiment; FIG. 9 is a schematic view showing a lens arrangement of a third embodiment of the magnifying lens group for virtual reality of the present invention; FIG. 10 is a longitudinal spherical aberration and astigmatic field curvature curve of the third embodiment; Distortion aberration diagram; Figure 11 is FIG. 12 is a table diagram illustrating the taper coefficient and the aspherical coefficient of each lens of the third embodiment; FIG. 13 is a virtual reality for the present invention. FIG. 14 is a longitudinal spherical aberration, an astigmatic field curvature curve and a distortion aberration diagram of the fourth embodiment; FIG. 15 is a table diagram illustrating the fourth implementation; FIG. 16 is a table showing a tapered coefficient and an aspherical coefficient of each lens of the fourth embodiment; and FIG. 17 is a table showing an enlargement of the virtual reality of the present invention. The optical parameters of this first embodiment to the fourth embodiment of the lens group.

10‧‧‧孔徑光欄 10‧‧‧ aperture diaphragm

22‧‧‧像側面 22‧‧‧like side

100‧‧‧顯示螢幕 100‧‧‧ display screen

3‧‧‧第三透鏡 3‧‧‧ third lens

1‧‧‧第一透鏡 1‧‧‧first lens

31‧‧‧物側面 31‧‧‧ ‧ side

11‧‧‧物側面 11‧‧‧ ‧ side

32‧‧‧像側面 32‧‧‧like side

12‧‧‧像側面 12‧‧‧like side

4‧‧‧保護玻璃片 4‧‧‧Protective glass

2‧‧‧第二透鏡 2‧‧‧second lens

I‧‧‧光軸 I‧‧‧ optical axis

21‧‧‧物側面 21‧‧‧ ‧ side

Claims (3)

一種虛擬實境用的放大透鏡組,從物側至像側沿一光軸依序包含一孔徑光欄、一第一透鏡、一第二透鏡,及一第三透鏡; 該第一透鏡,具正屈折力且包括一朝向物側且使成像光線通過的物側面及一朝向像側且使成像光線通過的像側面,該第一透鏡的該像側面為凸向像側的凸面; 該第二透鏡,具負屈折力且包括一朝向物側且使成像光線通過的物側面及一朝向像側且使成像光線通過的像側面; 該第三透鏡,具負屈折力且包括一朝向物側且使成像光線通過的物側面及一朝向像側且使成像光線通過的像側面,該第三透鏡的該像側面為凸向像側的非球面凸面且從該光軸至非球面終止點具有至少一反曲點; 其中,該放大透鏡組滿足0.26<f1/f<0.65、0.57<|f2|/f<2.29、0.36<|f3|/f<0.77及FOV>100˚,f1為該第一透鏡的焦距,f2為該第二透鏡的焦距,f3為該第三透鏡的焦距,f為該放大透鏡組的系統總焦距,FOV為該放大透鏡組的系統總視場角。A magnifying lens group for virtual reality, comprising an aperture diaphragm, a first lens, a second lens, and a third lens sequentially along an optical axis from the object side to the image side; the first lens a positive refractive power and includes a side of the object facing the object side and passing the imaging light and an image side facing the image side and passing the imaging light, the image side of the first lens being a convex surface convex toward the image side; a lens having a negative refractive power and including a side of the object facing the object side and passing the imaging light and an image side facing the image side and passing the imaging light; the third lens having a negative refractive power and including an object side a side surface of the object through which the imaging light passes and an image side surface facing the image side and passing the imaging light, the image side of the third lens being an aspheric convex surface convex toward the image side and having at least a point from the optical axis to the aspheric end point An inflection point; wherein the magnifying lens group satisfies 0.26<f1/f<0.65, 0.57<|f2|/f<2.29, 0.36<|f3|/f<0.77, and FOV>100 ̊, f1 is the first The focal length of the lens, f2 is the focal length of the second lens, and f3 is the focal length of the third lens The distance f is the total focal length of the system of the magnifying lens group, and the FOV is the total field of view of the system of the magnifying lens group. 如請求項1所述的虛擬實境用的放大透鏡組,還滿足20<V1-V3<40,其中,V1為該第一透鏡的阿貝數,V3為該第三透鏡的阿貝數。The magnifying lens group for virtual reality according to claim 1 further satisfies 20<V1 - V3<40, wherein V1 is the Abbe number of the first lens, and V3 is the Abbe number of the third lens. 如請求項1所述的虛擬實境用的放大透鏡組,還滿足20<V2-V3<40,其中,V2為該第二透鏡的阿貝數,V3為該第三透鏡的阿貝數。The magnifying lens group for virtual reality according to claim 1 further satisfies 20<V2-V3<40, wherein V2 is the Abbe number of the second lens, and V3 is the Abbe number of the third lens.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US10139592B2 (en) 2016-11-18 2018-11-27 Genius Electronic Optical Co., Ltd. Ocular optical system

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US10139592B2 (en) 2016-11-18 2018-11-27 Genius Electronic Optical Co., Ltd. Ocular optical system

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