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CN1327261C - An optical aspheric surface detection qausi-universal compensating mirror - Google Patents

An optical aspheric surface detection qausi-universal compensating mirror Download PDF

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CN1327261C
CN1327261C CNB2005100982788A CN200510098278A CN1327261C CN 1327261 C CN1327261 C CN 1327261C CN B2005100982788 A CNB2005100982788 A CN B2005100982788A CN 200510098278 A CN200510098278 A CN 200510098278A CN 1327261 C CN1327261 C CN 1327261C
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quasi
convex
spherical lens
universal
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CN1731232A (en
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王文生
王冕
王波
王晶晶
陈宇
苗华
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Changchun University of Science and Technology
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Abstract

The present invention relates to a quasi-universal compensating lens for optical aspherical surface detection, which belongs to the technical field of optical aspherical surface detection. A universal compensating lens of an existing dual lens has the defects of larger volume, difficult fabrication, assembly and adjustment, only detection of aspherical surfaces with large paraxial radiuses, small variation range of eccentricity and low detection precision. The quasi-universal compensating lens of the present invention is composed of three spherical lenses which are arranged coaxially in sequence. The three spherical lenses are respectively a convex plano lens, a plano-concave lens and a biconvex lens. The curvature radiuses of the convex surface of the convex plano lens and the concave surface of the plano-concave lens are equal. The front focus of the convex plano lens is coincident with the rear focus of a standard spherical lens. Light between the convex plano lens and the plano-concave lens is parallel light. The initial position of the quasi-universal compensating lens is determined by utilizing the light adjustment correction and the positioning of plane surface reflection by an optical autocollimation method. The spherical aberration of the quasi-universal compensating lens is adjusted to be equal to the normal aberration of the detected aspherical surface. The defects of the prior art are overcome overall, and quadric and high order aspherical surfaces can be detected within a larger range on higher accuracy.

Description

一种光学非球面检测准万能补偿镜A quasi-universal compensating mirror for optical aspheric surface detection

技术领域technical field

本发明属于光学非球面检测技术领域。The invention belongs to the technical field of optical aspheric surface detection.

背景技术Background technique

通过检测光学非球面波像差来检测其面形精度,在现有技术中,与本发明有关的检测方法是干涉图法,所采用的检测装置包括干涉仪、标准球面镜、补偿镜三大部分,干涉仪一般采用泰曼——格林干涉仪,光源为氦氖激光器,提供波长为632.8纳米的激光,经标准球面镜、补偿镜出射后,由补偿镜产生的球差与被检非球面的法向像差相补偿,当补偿精度满足瑞利准则,即波像差小于十分之一波长时,所得到的检测结果才准确地反映被检非球面面形精度。在这样的装置中干涉仪和标准球面镜是通用仪器和部件,而补偿镜则是为检测非球面而专门设计的光学部件。已知补偿镜由苏联普里亚耶夫在科学出版社(中国)于1982年出版的一本名为《光学非球面检验》的书中作了介绍。其中一种称为双透镜万能补偿镜,见图1所示,补偿镜1由两个透镜组成,透镜2是一个具有相等球面半径的弯月透镜,透镜3是一个双凸透镜,二者同轴安置,之间有空气间隔。补偿镜1安放于光源与被检非球面4之间,三者同轴。激光经补偿镜1后由被检非球面4反射。这种检测装置的检测能力及效果一方面取决于补偿镜1本身的形状、结构和光学参数,如补偿镜1由何种、几个透镜组成,排列顺序与间隔距离dn值,每个透镜各面的曲率半径rn值,每个透镜的厚度Dn值,补偿镜1厚度d值;另一方面取决于补偿镜1在检测装置中的位置,如补偿镜1至其前焦点O的距离-S0值,补偿镜1与被检非球面4之间的距离d0值。通过上述因素的调整,补偿镜1可以适应不同种类非球面,如抛物面、双曲面以及椭球面等二次回转曲面甚至高次曲面的检测,还可以检测近轴半径r0值、离心率e值、口径D值在一定范围内变化的每种曲面,由于这一点,这种补偿镜的发明者称其为万能补偿镜。当检测结果波像差ΔW小于十分之一波长,根据瑞利准则,该被检非球面4符合使用要求。The accuracy of its surface shape is detected by detecting optical aspheric wave aberration. In the prior art, the detection method related to the present invention is the interferogram method. The detection device used includes three parts: interferometer, standard spherical mirror and compensation mirror. , the interferometer generally uses a Tieman-Green interferometer, the light source is a helium-neon laser, and the laser with a wavelength of 632.8 nanometers is provided. When the compensation accuracy meets the Rayleigh criterion, that is, when the wave aberration is less than one-tenth of the wavelength, the obtained detection results can accurately reflect the accuracy of the tested aspheric surface. In such a device, the interferometer and the standard spherical mirror are common instruments and components, while the compensating mirror is an optical component specially designed for the detection of aspheric surfaces. The known compensating mirror was introduced by Priyaev of the Soviet Union in a book called "Optical Aspheric Surface Inspection" published by Science Publishing House (China) in 1982. One of them is called dual-lens universal compensation mirror, as shown in Figure 1, compensation mirror 1 is composed of two lenses, lens 2 is a meniscus lens with equal spherical radius, lens 3 is a biconvex lens, and the two are coaxial Placement with air space in between. The compensation mirror 1 is placed between the light source and the tested aspheric surface 4, and the three are coaxial. The laser light is reflected by the aspherical surface 4 to be inspected after passing through the compensation mirror 1 . The detection ability and effect of this detection device depend on the shape, structure and optical parameters of the compensating mirror 1 itself on the one hand, such as what kind and how many lenses the compensating mirror 1 consists of, the order of arrangement and the value of the distance dn , each lens The radius of curvature r n value of each surface, the thickness D n value of each lens, and the thickness d value of the compensation mirror 1; on the other hand, it depends on the position of the compensation mirror 1 in the detection device, such as the distance from the compensation mirror 1 to its front focus O Distance-S 0 value, the distance d 0 value between the compensation mirror 1 and the tested aspheric surface 4. Through the adjustment of the above factors, the compensation mirror 1 can adapt to the detection of different types of aspheric surfaces, such as paraboloids, hyperboloids, ellipsoids and other quadratic surfaces of revolution and even high-order surfaces, and can also detect the paraxial radius r 0 value and eccentricity e value , Every kind of curved surface whose caliber D value changes within a certain range, because of this, the inventor of this compensating mirror calls it a universal compensating mirror. When the wave aberration ΔW of the detection result is less than one-tenth of the wavelength, according to the Rayleigh criterion, the tested aspheric surface 4 meets the requirements for use.

发明内容Contents of the invention

已知技术中的双透镜万能补偿镜1中透镜2厚度达141毫米,补偿镜总重量达5.655公斤,不易制造,不便于装调和使用。并且,检测范围仅限于大近轴半径r0非球面,r0值最低也在3440mm以上;而且对应每一个近轴半径r0的离心率e值变化范围很小,例如,双曲面近轴半径r0从14729.83mm到6160.949mm,其离心率e值均为1.4;再有,检测精度不高,对非球面的补偿精度只有0.28~1.11微米,即波像差仅为0.4~1.7个波长,此检测结果并不满足瑞利准则小于0.1个波长的要求。为了克服已知技术的上述不足,我们发明了本发明之一种光学非球面检测准万能补偿器。The thickness of the lens 2 in the dual-lens universal compensating mirror 1 in the known technology reaches 141 millimeters, and the total weight of the compensating mirror reaches 5.655 kilograms, which is not easy to manufacture, and is inconvenient to assemble and use. Moreover, the detection range is limited to aspheric surfaces with large paraxial radius r 0 , and the minimum r 0 value is above 3440mm; and the range of eccentricity e corresponding to each paraxial radius r 0 is very small, for example, hyperboloid paraxial radius r 0 ranges from 14729.83mm to 6160.949mm, and its eccentricity e value is 1.4; moreover, the detection accuracy is not high, and the compensation accuracy of the aspheric surface is only 0.28-1.11 microns, that is, the wave aberration is only 0.4-1.7 wavelengths, This detection result does not meet the requirement of less than 0.1 wavelength of the Rayleigh criterion. In order to overcome the above-mentioned shortcomings of the known technology, we have invented a quasi-universal compensator for optical aspheric surface detection of the present invention.

本发明是这样实现的,见图2、图3所示,本发明之光学非球面检测准万能补偿镜5(以下简称准万能补偿镜)的组成为,凸平球面透镜6、平凹球面透镜7、双凸球面透镜8同轴依次排列,凸平球面透镜6的第一个面的曲率半径r1和平凹球面透镜7的第二个面的曲率半径r4相等,凸平球面透镜6第二个面的曲率半径r2和平凹球面透镜7的第一个面的曲率半径r3均为无穷大,凸平球面透镜6的前焦点与标准球面镜10的后焦点F重合,凸平球面透镜6、平凹球面透镜7之间的光是平行光,由光学自准直法利用平面反射的光调校和定位,使准万能补偿镜5的前焦点O与标准球面镜的后焦点F重合,该点也是光源位置,它与准万能补偿镜5的距离为-S0,由此确定了准万能补偿镜5的初始位置,准万能补偿镜5中的双凸球面透镜8补偿了凸平球面透镜6和平凹球面透镜7的高级像差,准万能补偿镜5的球差与被检非球面4的法向像差相等。The present invention is realized like this, see shown in Fig. 2, Fig. 3, the composition of optical aspheric surface detection quasi-universal compensating mirror 5 (hereinafter referred to as quasi-universal compensating mirror) of the present invention is, convex-flat spherical lens 6, plano-concave spherical lens 7, double-convex spherical lenses 8 are coaxially arranged in sequence, the radius of curvature r 1 of the first surface of the convex-flat spherical lens 6 is equal to the radius of curvature r 4 of the second surface of the flat-concave spherical lens 7, and the convex-flat spherical lens 6 is the first The radius of curvature r 2 of two surfaces and the radius of curvature r 3 of the first surface of the plano-concave spherical lens 7 are infinite, and the front focal point of the convex-flat spherical lens 6 coincides with the back focus F of the standard spherical mirror 10, and the convex-flat spherical lens 6 1. The light between the plano-concave spherical lenses 7 is parallel light, and the optical self-collimation method utilizes the light adjustment and positioning of plane reflection, so that the front focus O of the quasi-universal compensating mirror 5 coincides with the rear focus F of the standard spherical mirror. The point is also the position of the light source, and the distance between it and the quasi-universal compensating mirror 5 is -S 0 , thereby determining the initial position of the quasi-universal compensating mirror 5, and the biconvex spherical lens 8 in the quasi-universal compensating mirror 5 compensates the convex-flat spherical lens 6. The high-level aberration of the plano-concave spherical lens 7 and the spherical aberration of the quasi-universal compensating mirror 5 are equal to the normal aberration of the tested aspheric surface 4.

当用该准万能补偿镜5检测被检非球面4时,把该准万能补偿镜5与泰曼——格林干涉仪9、标准球面镜10相结合,见图3所示,泰曼——格林干涉仪9测试光路的平行光束经标准球面镜10后聚焦于后焦点F′,再经准万能补偿镜5后,其近轴光束会聚于被检非球面4的近轴球心C,即近轴光束与被检非球面4的法线重合;而其他各带的光束分别与被检非球面4的各带法线重合。当检测其它各类不同非球面时,沿光轴移动准万能补偿镜5至某位置,使经准万能补偿镜5出射后的光束的球差与被检非球面4的法向像差相补偿,补偿精度满足瑞利准则,即检测结果波像差ΔW小于十分之一波长。该准万能补偿镜5电可以检测各种凸型非球面,原理、装置相同,只需把凸面对向该准万能补偿镜5即可。对于未在该准万能补偿镜5检测范围内的非球面,可按本发明就准万能补偿镜结构参数做常规调整,即可检测其他参数范围的非球面。按照上述方式使用准万能补偿镜5,可检测的非球面范围大,可检测近轴半径r0从300到25000的抛物面,近轴半径r0从10至50000的双曲面,近轴半径r0从400至50000的椭球面。其离心率e值变化大,例如近轴半径r0为-700的双曲面,离心率e在-1~-21.6之间变化。补偿精度高,补偿精度满足理想成像的瑞利准则,均小于十分之一波长。检测效果详见表1、表2、表3、表4、表5。该准万能补偿镜5也可以检测各种高次非球面。本发明之准万能补偿镜5各组成部分均为球面镜,体积小,重量轻,通光口径Dk为30,凸平球面透镜6、平凹球面透镜7、双凸球面透镜8最大中心厚度是4.5,所以设计、制造、装调等都能够实现,并且比较容易和方便。When the quasi-universal compensating mirror 5 is used to detect the tested aspheric surface 4, the quasi-universal compensating mirror 5 is combined with the Teiman-Green interferometer 9 and the standard spherical mirror 10, as shown in Figure 3, Teiman-Green The parallel light beam of the test optical path of the interferometer 9 is focused on the rear focus F' after passing through the standard spherical mirror 10, and then after passing through the quasi-universal compensation mirror 5, its paraxial beam converges on the paraxial spherical center C of the tested aspheric surface 4, that is, the paraxial The light beam coincides with the normal of the tested aspheric surface 4; When testing other kinds of different aspheric surfaces, move the quasi-universal compensation mirror 5 to a certain position along the optical axis, so that the spherical aberration of the beam emitted by the quasi-universal compensation mirror 5 and the normal aberration of the tested aspheric surface 4 are compensated , the compensation accuracy satisfies the Rayleigh criterion, that is, the wave aberration ΔW of the detection result is less than one-tenth of the wavelength. The quasi-universal compensating mirror 5 can electrically detect various convex aspheric surfaces, and the principle and device are the same, only the convex surface needs to face the quasi-universal compensating mirror 5. For the aspheric surfaces not within the detection range of the quasi-universal compensating mirror 5, conventional adjustments can be made to the structural parameters of the quasi-universal compensating mirror according to the present invention, so aspheric surfaces in other parameter ranges can be detected. Using the quasi-universal compensating mirror 5 in the above-mentioned manner, the range of detectable aspheric surfaces is large, and it is possible to detect paraboloids with paraxial radius r0 from 300 to 25000, hyperboloids with paraxial radius r0 from 10 to 50000, and paraxial radius r0 Ellipsoids from 400 to 50,000. The value of the eccentricity e varies greatly. For example, for a hyperboloid with a paraxial radius r 0 of -700, the eccentricity e varies between -1 and -21.6. The compensation accuracy is high, and the compensation accuracy meets the Rayleigh criterion of ideal imaging, which is less than one-tenth of the wavelength. See Table 1, Table 2, Table 3, Table 4, and Table 5 for the detection results. The quasi-universal compensating mirror 5 can also detect various high-order aspheric surfaces. Each component of the quasi-universal compensating mirror 5 of the present invention is a spherical mirror, which is small in size and light in weight. 4.5, so the design, manufacture, assembly, etc. can be realized, and it is relatively easy and convenient.

表1利用准万能补偿镜检测抛物面的结果Table 1 The results of using the quasi-universal compensating mirror to detect the paraboloid

    D(mm) D(mm)     r0(mm)r 0 (mm)     -S0(mm)-S 0 (mm)     S0′(mm)S 0 '(mm)     ΔW ΔW     47.34 47.34     -300.00 -300.00     2680.280   2680.280     187.892   187.892     0.060λ 0.060λ     53.94 53.94     -350.00 -350.00     1987.123   1987.123     192.774 192.774     0.016λ 0.016λ     59.53 59.53     -400.00 -400.00     1449.432   1449.432     272.088 272.088     0.011λ 0.011λ     66.25 66.25     -457.56 -457.56     1200.000   1200.000     206.272 206.272     0.010λ 0.010λ     70.95 70.95     -501.64 -501.64     1050.000   1050.000     211.579 211.579     0.021λ 0.021λ     78.15 78.15     -570.60 -570.60     900.000 900.000     219.060   219.060     0.020λ 0.020λ     85.47 85.47     -642.31 -642.31     800.000 800.000     226.021 226.021     0.019λ 0.019λ     90.66 90.66     -693.49 -693.49     750.000 750.000     230.399   230.399     0.022λ 0.022λ     97.12 97.12     -758.44 -758.44     700.000 700.000     235.601 235.601     0.023λ 0.023λ     105.46 105.46     -843.96 -843.96     650.000 650.000     241.881 241.881     0.023λ 0.023λ     106.72 106.72     -961.72 -961.72     600.000 600.000     249.617 249.617     0.023λ 0.023λ     156.12 156.12     -1393.55 -1393.55     500.000 500.000     272.082 272.082     0.028λ 0.028λ     163.60 163.60     -1500.00 -1500.00     474.869 474.869     280.032   280.032     0.023λ 0.023λ     190.584 190.584     -1800.00 -1800.00     450.531 450.531     289.080 289.080     0.014λ 0.014λ     205.81 205.81     -2000.00 -2000.00     429.913  429.913     298.061 298.061     0.017λ 0.017λ     245.758 245.758     -2500.00 -2500.00     401.493 401.493     313.044 313.044     0.016λ 0.016λ     283.046 283.046     -3000.00 -3000.00     379.889 379.889     327.125 327.125     0.029λ 0.029λ     323.111 323.111     -3500.00 -3500.00     369.667 369.667     334.840 334.840     0.013λ 0.013λ     361.198 361.198     -4000.00 -4000.00     360.060 360.060     342.841 342.841     0.033λ 0.033λ     396.382 396.382     -4500.00 -4500.00     350.050 350.050     352.076 352.076     0.016λ 0.016λ     428.368   428.368     -5000.00 -5000.00     339.758 339.758     362.695 362.695     0.008λ 0.008λ     457.160 457.160     -5500.00 -5500.00     329.493 329.493     374.639 374.639     0.044λ 0.044λ     522.986 522.986     -6500.00 -6500.00     319.440 319.440     387.903 387.903     0.038λ 0.038λ     584.389 584.389     -7500.00 -7500.00     310.390 310.390     401.450 401.450     0.049λ 0.049λ     621.228 621.228     -8000.00 -8000.00     309.480 309.480     402.909 402.909     0.009λ 0.009λ     687.884 687.884     -9000.00 -9000.00     305.335 305.335     409.796 409.796     0.043λ 0.043λ     745.998 745.998     -10000.00 -10000.00     299.317 299.317     420.570 420.570     0.026λ 0.026λ     1018.858   1018.858     -15000.00 -15000.00     279.243 279.243     464.956 464.956     0.030λ 0.030λ     1284.242   1284.242     -20000.00 -20000.00     269.198  269.198     493.792 493.792     0.016λ 0.016λ     1502.688   1502.688     -25000.00 -25000.00     258.888 258.888     530.032 530.032     0.100λ 0.100λ

该表中各被检抛物面的离心率为:e=-1,近轴半径可检测范围为:-25000mm≤r0≤-300mm,这只是一个大致的范围,近轴半径在该范围以外的抛物面也同样能被检测出来。其波像差:Δw ≤λ/10。The eccentricity of each tested paraboloid in the table is: e=-1, and the detectable range of the paraxial radius is: -25000mm≤r 0 ≤-300mm, which is only a rough range, and the paraboloid with the paraxial radius outside this range can also be detected. Its wave aberration: Δw ≤ λ/10.

表2利用准万能补偿镜检测双曲面的结果Table 2 The results of detecting hyperboloids using quasi-universal compensating mirrors

r0(mm)r 0 (mm) ee D(mm)D(mm) -S0(mm)-S 0 (mm) S0′(mm)S 0 '(mm) ΔWΔW     -10 -10     -33.6 -33.6     1.686 1.686     1800 1800     194.803 194.803   0.044λ 0.044λ     -20 -20     -19.0 -19.0     3.152 3.152     1520 1520     198.889   198.889   0.027λ 0.027λ     -40 -40     -10.0 -10.0     6.094 6.094     1430 1430     200.587 200.587   0.012λ 0.012λ     -60 -60     -7.00 -7.00     8.961 8.961     1320 1320     203.023 203.023   0.011λ 0.011λ     -80 -80     -5.50 -5.50     11.782 11.782     1240 1240     205.109 205.109   0.013λ 0.013λ     -200 -200     -2.50 -2.50     28.288 28.288     1030 1030     212.426 212.426   0.005λ 0.005λ     -250 -250     -2.52 -2.52     33.378 33.378     800 800     226.021 226.021   0.009λ 0.009λ     -300 -300     -2.28 -2.28     39.324 39.324     750 750     230.399   230.399   0.008λ 0.008λ     -350 -350     -3.20 -3.20     41.145 41.145     550 550     259.378 259.378   0.020λ 0.020λ     -335.81 -335.81     -2.2 -2.2     43.108 43.108     700 700     235.601 235.601   0.039λ 0.039λ     -446.79 -446.79     -2.5 -2.5     52.462 52.462     550 550     259.378 259.378   0.011λ 0.011λ     -542.398 -542.398     -2.5 -2.5     60.908 60.908     500 500     272.082 272.082   0.041λ 0.041λ     -562.27 -562.27     -3.2 -3.2     59.675 59.675     450 450     289.294   289.294   0.014λ 0.014λ     -814.489 -814.489     -3.2 -3.2     80.063 80.063     400 400     313.932 313.932   0.013λ 0.013λ     -500 -500     -2.22 -2.22     58.682 58.682     500 500     259.378 259.378   0.009λ 0.009λ     -700 -700     -2.57 -2.57     74.226 74.226     450 450     289.294   289.294   0.009λ 0.009λ     -900 -900     -1.22 -1.22     105.861   105.861     555 555     258.289   258.289   0.007λ 0.007λ     -1100 -1100     -1.87 -1.87     113.338   113.338     430 430     298.020   298.020   0.008λ 0.008λ     -1300 -1300     -3.37 -3.37     114.758 114.758     350 350     352.125 352.125   0.013λ 0.013λ     -1500 -1500     -6.49 -6.49     112.643   112.643     300 300     419.298  419.298   0.019λ 0.019λ     -2000 -2000     -4.87 -4.87     150.023   150.023     300 300     419.298  419.298   0.019λ 0.019λ     -2500 -2500     -1.32 -1.32     233.551 233.551     375 375     330.720 330.720   0.009λ 0.009λ     -3000 -3000     -1.93 -1.93     249.943 249.943     330 330     374.001 374.001   0.012λ 0.012λ     -3500 -3500     -4.37 -4.37     239.133 239.133     280 280     462.993 462.993   0.024λ 0.024λ     -4000 -4000     -2.82 -2.82     290.731 290.731     293 293     432.998 432.998   0.022λ 0.022λ     -6000 -6000     -1.77 -1.77     281.871 281.871     305 305     410.371 410.371   0.017λ 0.017λ     -8000 -8000     -1.22 -1.22     598.585 598.585     300 300     419.298  419.298   0.019λ 0.019λ     -9000 -9000     -1.62 -1.62     620.288 620.288     282 282     457.932 457.932   0.023λ 0.023λ     -10000 -10000     -1.65 -1.65     671.419 671.419     277 277     470.993 470.993   0.054λ 0.054λ     -15000 -15000     -1.54 -1.54     938.917 938.917     265 265     507.616 507.616   0.033λ 0.033λ     -20000 -20000     -1.60 -1.60     1169.737   1169.737     255 255     545.935 545.935   0.035λ 0.035λ     -25000 -25000     -1.20 -1.20     1483.093   1483.093     257 257     537.580 537.580   0.039λ 0.039λ     -30000 -30000     -1.15 -1.15     1728.475   1728.475     253 253     554.683 554.683   0.044λ 0.044λ     -40000 -40000     -1.32 -1.32     2105.525 2105.525     242 242     611.277 611.277   0.046λ 0.046λ     -50000 -50000     -1.15 -1.15     2584.033   2584.033     240 240     623.431 623.431   0.046λ 0.046λ

近轴半径可检测范围为:-50000mm≤r0≤-10mm。其波像差:Δw<λ/10。离心率e的变化范围很大。The detectable range of paraxial radius is: -50000mm≤r 0 ≤-10mm. Its wave aberration: Δw<λ/10. The eccentricity e varies widely.

不同的近轴半径r0及离心率e可构造不同的双曲面,为了详细描述准万能补偿镜5所能检测的双曲面的范围,我们对不同的双曲面用光学设计软件Zemax进行了分析,并在表3中给出了当近轴半径r0一定时所能检测的双曲面离心率e的变化范围。根据离心率e的变化趋势,可大致判断出哪些双曲面可被准万能补偿镜5检测。Different paraxial radii r 0 and eccentricities e can construct different hyperboloids. In order to describe in detail the range of hyperboloids that can be detected by the quasi-universal compensating mirror 5, we have analyzed different hyperboloids with the optical design software Zemax. And in Table 3, the variation range of hyperboloid eccentricity e that can be detected when the paraxial radius r 0 is constant is given. According to the variation trend of the eccentricity e, it can be roughly judged which hyperboloids can be detected by the quasi-universal compensating mirror 5 .

表3准万能补偿镜可检测的双曲面其离心率e的变化范围Table 3 Variation range of the eccentricity e of the hyperboloid detectable by the quasi-universal compensating mirror

    r0(mm)r 0 (mm)     离心率e的变化范围 Variation range of eccentricity e     -10 -10     在-32.5和-40之间 Between -32.5 and -40     -20 -20     在-17和-61.8之间 Between -17 and -61.8     -40 -40     在-8.8和-60之间 Between -8.8 and -60     -60 -60     在-6.0和-41之间 Between -6.0 and -41     -80 -80     在-4.5和-31之间 Between -4.5 and -31     -200 -200     在-1.8和-47之间 Between -1.8 and -47     -250 -250     在-1.4和-59之间 Between -1.4 and -59     -300 -300     在-1.2和-49.8之间 Between -1.2 and -49.8     -350 -350     在-1和-42.7之间 Between -1 and -42.7     -500 -500     在-1和-30.1之间 Between -1 and -30.1     -700 -700     在-1和-21.6之间 Between -1 and -21.6     -900 -900     在-1和-19.2之间 Between -1 and -19.2     -1100 -1100     在-1和-15.7之间 Between -1 and -15.7     -1300 -1300     在-1和-20.7之间 Between -1 and -20.7     -1500 -1500     在-1和-25.3之间 Between -1 and -25.3     -2000 -2000     在-1和-19之间 Between -1 and -19     -2500 -2500     在-1和-15.3之间 Between -1 and -15.3     -3000 -3000     在-1和-12.7之间 Between -1 and -12.7     -3500 -3500     在-1和-10.9之间 Between -1 and -10.9     -4000 -4000     在-1和-9.55之间 Between -1 and -9.55     -5000 -5000     在-1和-7.65之间 Between -1 and -7.65     -6000 -6000     在-1和-6.4之间 Between -1 and -6.4     -8000 -8000     在-1和-4.8之间 Between -1 and -4.8     -9000 -9000     在-1和-4.25之间 Between -1 and -4.25     -10000 -10000     在-1和-3.84之间 Between -1 and -3.84     -15000 -15000     在-1和-2.55之间 Between -1 and -2.55     -20000 -20000     在-1和-1.92之间 Between -1 and -1.92     -25000 -25000     在-1和-1.53之间 Between -1 and -1.53     -30000 -30000     在-1和-1.28之间 Between -1 and -1.28     -40000 -40000     在-1和-1.44之间 Between -1 and -1.44     -50000 -50000     在-1和-1.15之间 Between -1 and -1.15

表中所给的离心率e的变化范围不是精确的,还可在边缘小范围拓展。The variation range of the eccentricity e given in the table is not exact, and can also be expanded in a small range on the edge.

表4准万能补偿镜检测椭球面的结果Table 4 The results of quasi-universal compensation mirror detection ellipsoidal surface

    r0(mm)r 0 (mm) e e    D(mm) D(mm)     -S0(mm)-S 0 (mm)     S0′(mm)S 0 '(mm)  ΔW ΔW     -400 -400 -0.9 -0.9     61.65 61.65     2000 2000     192.65 192.65  0.004375λ 0.004375λ     -500 -500 -0.85 -0.85     73.35 73.35     1310 1310     203.27 203.27  0.02715λ 0.02715λ     -700 -700 -0.64 -0.64     101.26 101.26     1200 1200     206.27 206.27  0.0246λ 0.0246λ     -900 -900 -0.8 -0.8     116.00 116.00     716 716     233.83 233.83  0.02025λ 0.02025λ     -1000 -1000 -0.36 -0.36     153.89   153.89     2000 2000     192.65 192.65  0.0014λ 0.0014λ     -1200 -1200 -0.5 -0.5     161.03 161.03     830 830     223.71 223.71  0.0423λ 0.0423λ     -1500 -1500 -0.3 -0.3     216.78 216.78     1200 1200     206.27 206.27  0.01595λ 0.01595λ     -1789.17 -1789.17 -0.36 -0.36     223.646 223.646     800 800     226.02 226.02  0.0331λ 0.0331λ     -2000 -2000 -0.82 -0.82     216.34 216.34     468 468     282.44 282.44  0.0352λ 0.0352λ     -2112.223 -2112.223 -0.36 -0.36     270.11 270.11     700 700     235.60 235.60  0.0379λ 0.0379λ     -2500 -2500 -0.143 -0.143     384.48 384.48     2000 2000     192.65 192.65  0.0192λ 0.0192λ     -2862.468 -2862.468 -0.63 -0.63     302.71 302.71     450 450     289.29   289.29  0.0065λ 0.0065λ     -3000 -3000 -0.38 -0.38     348.17 348.17     540 540     261.65 261.65  0.0491λ 0.0491λ     -3148.225 -3148.225 -0.15 -0.15     448.1452 448.1452     1100 1100     209.60  209.60  0.0383λ 0.0383λ     -4000 -4000 -0.7 -0.7     385.61 385.61     391 391     319.54 319.54  0.02385λ 0.02385λ     -4143.15 -4143.15 -0.25 -0.25     492.01 492.01     570 570     255.18 255.18  0.0166λ 0.0166λ     -5000 -5000 -0.48 -0.48     498.41 498.41     410 410     308.19 308.19  0.00965λ 0.00965λ     -8000 -8000 -0.24 -0.24     293.50 293.50     440 440     834.29 834.29  0.0077λ 0.0077λ     -10000 -10000 -0.75 -0.75     789.33 789.33     314 314     395.84 395.84  0.0175λ 0.0175λ     -15000 -15000 -0.5 -0.5     1183.76   1183.76     314 314     395.84 395.84  0.01785λ 0.01785λ     -30000 -30000 -0.57 -0.57     1996.69 1996.69     275.5 275.5     475.07 475.07  0.0371λ 0.0371λ     -50000 -50000 -0.95 -0.95     2690.12   2690.12     244.5 244.5     596.98 596.98  0.04195λ 0.04195λ

表5准万能补偿镜可检测的椭球面其离心率e的变化范围Table 5 Variation range of the eccentricity e of the ellipsoid surface detectable by the quasi-universal compensating mirror

  r0(mm)r 0 (mm)  离心率e Eccentricity e   r0<400r 0 <400  e≤-0.9 e≤-0.9   r0<-500r 0 <-500  e≤-0.72 e≤-0.72   r0<-700r 0 <-700  e≤-0.51 e≤-0.51   r0<-900r 0 <-900  e≤-0.4 e≤-0.4   r0<-1000r 0 <-1000  e≤-0.36 e≤-0.36   r0<-1200r 0 <-1200  e≤-0.3 e≤-0.3   r0<-1500r 0 <-1500  e≤-0.24 e≤-0.24   r0<-2000r 0 <-2000  e≤-0.18 e≤-0.18   r0<-2500r 0 <-2500  e≤-0.143 e≤-0.143   r0<-3000r 0 <-3000  e≤-0.12 e≤-0.12   -50000<r0<-4000-50000< r0 <-4000  e≤-0.09 e≤-0.09

表5中给出的r0的值从-400到-50000并非是一个精确的可检测的近轴半径值范围,在这两值之外的半径也可被检测出来。The value of r 0 given in Table 5 from -400 to -50000 is not an accurate range of detectable paraxial radius values, and radii outside these two values can also be detected.

附图说明Description of drawings

图1是已知技术之万能补偿镜以及其与光源和被检非球面相互位置关系示意图。图2是本发明之准万能补偿镜以及其与光源和被检非球面相互位置关系示意图。图3是本发明之准万能补偿镜在检测装置中的位置及检测过程示意图。图4是本发明之准万能补偿镜球差曲线图和被检抛物面法向像差曲线图。图5是本发明之准万能补偿镜补偿被检抛物面后波像差曲线图。Fig. 1 is a schematic diagram of the universal compensating mirror and its positional relationship with the light source and the tested aspheric surface in the known technology. Fig. 2 is a schematic diagram of the quasi-universal compensating mirror of the present invention and its mutual positional relationship with the light source and the tested aspheric surface. Fig. 3 is a schematic diagram of the position and detection process of the quasi-universal compensating mirror of the present invention in the detection device. Fig. 4 is a curve diagram of the spherical aberration of the quasi-universal compensating mirror of the present invention and a curve diagram of the normal aberration of the tested paraboloid. Fig. 5 is a curve diagram of the quasi-universal compensating mirror of the present invention for compensating the rear wave aberration of the inspected parabola.

具体实施方式Detailed ways

见图3所示,该准万能补偿镜5是配合氦氖激光光源而设计,激光波长为632.8nm。被检非球面4为抛物面反射镜,口径D为100mm,相对口径D/f′为1/4,所设计的准万能补偿镜5其光学结构参数在表6中示出,如此设计可使准万能补偿镜5补偿该被检非球面4的波像差ΔW小于十分之一激光波长。As shown in Fig. 3, the quasi-universal compensating mirror 5 is designed in conjunction with a He-Ne laser light source, and the laser wavelength is 632.8nm. The tested aspheric surface 4 is a parabolic reflector, the diameter D is 100mm, and the relative diameter D/f' is 1/4. The optical structure parameters of the designed quasi-universal compensating mirror 5 are shown in Table 6. Such a design can make the quasi-universal compensating mirror 5 The universal compensating mirror 5 compensates the wave aberration ΔW of the tested aspheric surface 4 which is less than one-tenth of the laser wavelength.

表6准万能补偿镜的光学结构参数Table 6 Optical structure parameters of quasi-universal compensating mirror

补偿镜组成Composition of compensating mirror 透镜种类Lens Type 曲率半径rn(mm)Radius of curvature r n (mm)   厚度Dn(mm) Thickness Dn(mm)   间隔dn(mm) Interval dn(mm) 折射率nRefractive index n 玻璃牌号Glass grade 通光口径Dk(mm)Clear aperture D k (mm) 凸平球面透镜6Convex Planar Spherical Lens 6 凸平convex flat r1=325.2r 1 =325.2 D1=4.0D 1 =4.0 d1=4.0d 1 =4.0 1.485981.48598 QK3QK3 3030 r2=∞r 2 =∞ 平凹球面透镜7Plano-concave spherical lens 7 平凹flat concave r3=∞r 3 =∞ D2=3.0D 2 =3.0 1.485981.48598 QK3QK3 r4=325.2r 4 =325.2 d2=4.0d 2 =4.0 双凸球面透镜8Bi-convex spherical lens 8 双凸biconvex r5=174.3r 5 =174.3 D3=4.5D 3 =4.5 1.749701.74970 ZF6ZF6 r6=-558.6 r6 = -558.6

准万能补偿镜5的厚度d为:The thickness d of the quasi-universal compensation mirror 5 is:

dd == &Sigma;&Sigma; nno == 11 33 DD. nno ++ &Sigma;&Sigma; nno == 11 22 dd nno

根据该式及表6可得所设计的准万能补偿镜5的厚度d为19.5mm。当准万能补偿镜5至标准球面镜10的后焦点F′的距离为S0=-673.25mm时,其补偿效果由图4示出,补偿精度由图5示出,可以看出补偿后最大波像差只有0.021λ。According to the formula and Table 6, the thickness d of the designed quasi-universal compensating mirror 5 can be obtained as 19.5mm. When the distance between the quasi-universal compensating mirror 5 and the back focus F' of the standard spherical mirror 10 is S 0 =-673.25mm, its compensation effect is shown in Fig. 4, and the compensation accuracy is shown in Fig. 5. It can be seen that the maximum wave after compensation is The aberration is only 0.021λ.

当检测其它非球面时,只需相对标准球面镜10的后焦点F′沿光学系统的光轴移动准万能补偿镜5至某距离,使准万能补偿镜5的球差与被检非球面4的法向像差相等,其补偿精度即可满足瑞利准则,即波像差ΔW小于十分之一波长,表1、表2、表3、表4、表5分别示出利用该准万能补偿镜5检测部分其它种类和同一种类不同光学参数的非球面的结果。各表中的波像差ΔW是用Zemax光学设计软件按泰曼——格林干涉仪自准光路计算出的。光源与准万能补偿镜5的距离为-S0,它也是检测被检非球面4时准万能补偿镜5的第一个面至标准球面镜10的后焦点F′的距离,测量时必须按此距离确定准万能补偿镜5的位置。When detecting other aspheric surfaces, it is only necessary to move the quasi-universal compensating mirror 5 to a certain distance along the optical axis of the optical system relative to the back focus F' of the standard spherical mirror 10, so that the spherical aberration of the quasi-universal compensating mirror 5 is consistent with that of the tested aspheric surface 4 The normal aberrations are equal, and the compensation accuracy can meet the Rayleigh criterion, that is, the wave aberration ΔW is less than one-tenth of the wavelength. Table 1, Table 2, Table 3, Table 4, and Table 5 respectively show that the quasi-universal compensation Mirror 5 is the result of detecting some other types and aspheric surfaces of the same type with different optical parameters. The wave aberration ΔW in each table is calculated by using the Zemax optical design software according to the self-collimating optical path of the Tyman-Green interferometer. The distance between the light source and the quasi-universal compensating mirror 5 is -S 0 , which is also the distance from the first surface of the quasi-universal compensating mirror 5 to the back focus F' of the standard spherical mirror 10 when testing the aspheric surface 4 to be tested. The distance determines the position of the quasi-universal compensating mirror 5 .

对于高次非球面,按补偿镜的补偿原理,只需调整准万能补偿镜5相对标准球面镜10的距离-S0,也可以检测。For high-order aspheric surfaces, according to the compensating principle of compensating mirrors, only the distance -S 0 between the quasi-universal compensating mirror 5 and the standard spherical mirror 10 needs to be adjusted, and it can also be detected.

对于未在准万能补偿镜5补偿范围内的非球面,例如近轴半径r0为100mm的抛物面,可对准万能补偿镜5的部分光学参数进行适当的修正,设计出具有另一组光学参数的准万能补偿镜5,则可适应该范围的非球面检测。For the aspheric surface that is not within the compensation range of the quasi-universal compensating mirror 5, such as a paraboloid with a paraxial radius r0 of 100 mm, some optical parameters of the quasi-universal compensating mirror 5 can be properly corrected, and another set of optical parameters can be designed. The quasi-universal compensating mirror 5 can adapt to the detection of aspheric surfaces in this range.

距离-S0的确定:Determination of distance-S 0 :

(1)由被测非球面4的光学参数包括近轴半径r0、口径D和离心率e,根据设计经验确定准万能补偿镜5距标准球面镜10的后焦点F′的初始距离;(1) The optical parameters of the measured aspheric surface 4 include paraxial radius r 0 , aperture D and eccentricity e, and determine the initial distance of the quasi-universal compensating mirror 5 from the back focus F' of the standard spherical mirror 10 according to design experience;

(2)利用光学设计软件,例如Zemax软件,用逐步逼近法,按准万能补偿镜5在泰曼——格林干涉仪9中的工作光路计算准万能补偿镜5补偿被检非球面4的波像差ΔW;(2) Utilize optical design software, such as Zemax software, with stepwise approximation method, calculate quasi-universal compensating mirror 5 to compensate the wave of tested aspheric surface 4 by quasi-universal compensating mirror 5 in the working light path of Teiman-Green interferometer 9 Aberration ΔW;

(3)当准万能补偿镜5补偿被检非球面4的波像差ΔW小于十分之一光源的波长时,认为所对应的-S0是准万能补偿镜5距标准球面镜10的后焦点F′的精确距离;(3) When the wave aberration ΔW of the tested aspheric surface 4 compensated by the quasi-universal compensating mirror 5 is less than one-tenth of the wavelength of the light source, it is considered that the corresponding -S0 is the back focus of the quasi-universal compensating mirror 5 from the standard spherical mirror 10 The exact distance of F';

(4)实际检测被检非球面4的面形时,按-S0、S0′、r0来确定准万能补偿镜5、被检非球面4在检测装置中的位置。S0′是准万能补偿镜5的像距,根据-S0以及准万能补偿镜5的光学参数,由Zemax软件计算确定。(4) When actually testing the surface shape of the tested aspheric surface 4, the positions of the quasi-universal compensating mirror 5 and the tested aspheric surface 4 in the testing device are determined according to -S 0 , S 0 ′, r 0 . S 0 ′ is the image distance of the quasi-universal compensating mirror 5, which is calculated and determined by Zemax software according to -S 0 and the optical parameters of the quasi-universal compensating mirror 5.

Claims (2)

1、一种光学非球面检测准万能补偿镜,由同轴球面透镜组成,其特征在于,凸平球面透镜(6)、平凹球面透镜(7)、双凸球面透镜(8)同轴依次排列,凸平球面透镜(6)的第一个面的曲率半径r1和平凹球面透镜(7)的第二个面的曲率半径r4相等,凸平球面透镜(6)第二个面的曲率半径r2和平凹球面透镜(7)的第一个面的曲率半径r3均为无穷大,凸平球面透镜(6)的前焦点与标准球面镜(10)的后焦点F重合,凸平球面透镜(6)、平凹球面透镜(7)之间的光是平行光,由光学自准直法利用平面反射的光调校和定位,使准万能补偿镜(5)的前焦点O与标准球面镜的后焦点F重合,该点也是光源位置,它与准万能补偿镜(5)的距离为-S0,由此确定了准万能补偿镜(5)的初始位置,准万能补偿镜(5)中的双凸球面透镜(8)补偿了凸平球面透镜(6)和平凹球面透镜(7)的高级像差,准万能补偿镜(5)的球差与被检非球面(4)的法向像差相等。1. A quasi-universal compensating mirror for optical aspheric detection, consisting of coaxial spherical lenses, characterized in that the convex-planar spherical lens (6), the plano-concave spherical lens (7), and the double-convex spherical lens (8) are coaxial sequentially Arrangement, the radius of curvature r 1 of the first surface of the convex-flat spherical lens (6) is equal to the radius of curvature r 4 of the second surface of the flat-concave spherical lens (7), the second surface of the convex-flat spherical lens (6) The radius of curvature r 2 of the first surface of the plano-concave spherical lens ( 7 ) is infinite, the front focal point of the convex-planar spherical lens (6) coincides with the rear focal point F of the standard spherical mirror (10), and the convex-planar spherical The light between the lens (6) and the plano-concave spherical lens (7) is parallel light, and the optical self-collimation method utilizes the light adjustment and positioning of plane reflection, so that the front focus O of the quasi-universal compensating mirror (5) is in line with the standard The back focus F of the spherical mirror coincides, and this point is also the position of the light source. The distance between it and the quasi-universal compensating mirror (5) is -S 0 , thus determining the initial position of the quasi-universal compensating mirror (5), and the quasi-universal compensating mirror (5) ) in the double-convex spherical lens (8) compensates the advanced aberration of the convex-planar spherical lens (6) and the plano-concave spherical lens (7), and the spherical aberration of the quasi-universal compensating mirror (5) is the same as that of the tested aspheric surface (4). Normal aberrations are equal. 2、根据权利要求1所述的准万能补偿镜,其特征在于,2. The quasi-universal compensating mirror according to claim 1, characterized in that, 凸平球面透镜(6):Convex Planar Spherical Lens (6): r1=325.2,r2=∞,厚度D1=4.0,所采用的光学玻璃的牌号为QK3;r 1 =325.2, r 2 =∞, thickness D 1 =4.0, the grade of optical glass used is QK3; 平凹球面透镜(7):Plano-concave spherical lens (7): r3=∞,r4=325.2,厚度D2=3.0,所采用的光学玻璃的牌号为QK3;r 3 =∞, r 4 =325.2, thickness D 2 =3.0, the grade of optical glass used is QK3; 双凸球面透镜(8):Bi-convex spherical lens (8): 第一个面的曲率半径r5=174.3,第二个面的曲率半径r6=-558.6,厚度D3=4.5,所采用的光学玻璃的牌号为ZF6;The radius of curvature of the first surface r 5 =174.3, the radius of curvature of the second surface r 6 =-558.6, the thickness D 3 =4.5, and the grade of optical glass used is ZF6; 凸平球面透镜(6)与平凹球面透镜(7)之间的距离:The distance between the convex-planar spherical lens (6) and the plano-concave spherical lens (7): d1=4.0;d 1 =4.0; 平凹球面透镜(7)与双凸球面透镜(8)之间的距离:The distance between the plano-concave spherical lens (7) and the double-convex spherical lens (8): d2=4.0;d 2 =4.0; 单位:mm。Unit: mm.
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