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干涉仪标准面非旋转对称误差的消除 被引量:3

Rotational Variant Error Removal of the Reference Flat
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摘要 提出了一种测量干涉仪参考镜非旋转对称面形误差的方法。测量波面用36项Zemike多项式来表示,利用Zemike多项式形式的旋转不变性,求解出参考面非旋转对称误差的Zernike多项式系数。测得了Zygo干涉仪参考镜不同装夹应力下的非旋转对称面形误差分布。比对了该方法和N次相对旋转测量法对同一参考面的测量结果,符合较好。分析了测量误差。该方法仅需两次测量,可有效消除干涉仪标准面低频非旋转对称面形误差。 A method to measure rotational variant error of the reference surface is described. The measured wavefronts are fitted by Zernike polynomials. Zernike coefficients of rotational invariant part of the reference surface are obtained utilizing the properties of Zernike polynomials. Rotational invariant reference surface errors of Zygo interferometer under different mounting stress are measured. The same sufrace is tested by this method and N-position rotation method, the results are in close agreement. The measuring error is analyzed. The proposed method could be used to remove the low frequency rotational variant error of the reference surface only by two measurements.
出处 《计量学报》 CSCD 北大核心 2010年第3期219-222,共4页 Acta Metrologica Sinica
基金 江苏省六大人才高峰项目(06-E-030) 教育部博士点基金(20070288010)
关键词 计量学 非旋转对称误差 Zernike多项式拟合 旋转不变性 绝对检验 Metrology Rotational variant error Zernike polynomial fitting Property of rotational invariant Absolute test
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参考文献8

  • 1朱郁葱,杨国光,董太和.标准光学面形的建立与绝对检测[J].计量学报,1989,10(4):285-289. 被引量:9
  • 2徐晨,陈磊.光学平面绝对检验方法的研究[J].光学技术,2006,32(5):775-778. 被引量:15
  • 3Evans C J,Kestner R N.Test optics error removal[J].Appl Opt,1996,35(7):1015-1021.
  • 4Hariharan P.Interferometric testing of optical surfaces:absolute measurements of flatness[J].Opt Eng,1997,36(9):2478-2481.
  • 5Evans C J.Comment on the paper"Interferometric testing of optical surfaces:absolute measurements of flatness"[J].Opt Eng,1998,37(6):1880-1882.
  • 6Seung-Woo Kim,Hyug-Gyo Rhee.Self-Calibration of High Frequency Errors of Test Optics by Arbitrary N-step Rotation[J].Internotional Journal of the Korean Society of Precision Engineering,2000,1(2):115-123.
  • 7Griesmann U.Three-flat test solutions based on simple mirror symmetry[J].Appl Opt,2006,45(23):5856-5865.
  • 8Gubin V B,Sharonov V N.Algorithm for reconstructing the shape of optical surfaces from the results of experimental data[J].Sov J Opt Technol,1990,57(3):147-148.

二级参考文献14

  • 1董大年,仪器仪表学报,1987年,8卷,3期,253页
  • 2Rayleigh L.Interference bands and their applications[J].Nature,1893,48:212-214.
  • 3Schulz G,Schwider J.Interferometric testing of smooth surfaces,Progress in Optics XⅢ[M].E.wolf,ed.Ch4 North-Holland,Amsterdam,1976.96-127.
  • 4Schulz G,Schwider J.Precise measurement of planness[J].Applied optics,1967,6(6):1077-1084.
  • 5Schulz G,Schwider J.Establishing an optical flatness[J].Applied optics,1971,10(4):929-934.
  • 6Fritz B S.Absolute calibration of an optical flat[J].Optical Engineering,1984,23(4):379-383.
  • 7Keenan P B.Pseudo-ShearInterferometry[J].SPIE,1984,123(4):2-9.
  • 8Grzanna J,Schulz G.Absolute testingof flatness standards at square-grid points[J].Optics communication,1990,77 (2,3):107-112.
  • 9Schulz G,Grzanna J.Absolute flatness testing by the rotation method with optimal measuring-error compensation[J].Applied Optics,1992,31(19):3767-3780.
  • 10Schulz G.Absolute flatness testing by an extended rotation method using two angle of roation[J].Applied Optics,1993,32(7):1055-1059.

共引文献20

同被引文献30

  • 1王方,朱启华,徐冰,张清泉,蒋东镔,邓武,黄征,唐晓东.离轴多程放大系统中光学设计的初步研究[J].强激光与粒子束,2005,17(12):1843-1846. 被引量:8
  • 2王方,朱启华,蒋东镔,胡东霞,邓武,刘华,黄征,景峰.多程放大系统中透镜倾斜对系统像差的影响分析[J].激光技术,2007,31(3):333-336. 被引量:4
  • 3陈磊.光学平面的绝对检测[D】.南京:南京理工大学,2006:3-5.
  • 4CHRIS J Evans, ROBERT N Kestner. Test optics error removal [J]. Applied Optics(S1539-4522), 1996, 35(7): 1015-1021.
  • 5Otaki K, Yamamoto T, Fukuda Y, et al. Accuracy evaluation of the point diffraction interferometer for extreme ultraviolet lithography aspheric mirror [J]. J.Vav.Sci.Technol(S1520-8567), 2002, 20(1): 295-300.
  • 6VINCENZO Greco, RICCARDO Tronconi, CIRO Del Veuhio, et al. Absolute Calibration of an Optical Flat [J]. Applied Optics(S1539-4522), 1999, 38(10): 2018-2027.
  • 7KATHERINE Creath, JAMES C Wyant. Absolute measurement of spherical surface [J]. Proc.of SPIE(S0277-786X), 1990, 1332: 1-7.
  • 8XU Chen, CHEN Lei, YI Jia-yi. Method for absolute flatness measurement of optical surfaces [J]. Applied Optics (S1539-4522), 2009, 48(13): 2536-2541.
  • 9C. J. Evans, R. N. Kestner. Test optics error removal [J].Appl. Opt., 1996, 35(7): 1015-1021.
  • 10Guenther Seitz, Wolfgang Otto. Method for the Interferometric Measurement of Non-Rotationally Symmetric Wavefront Errors EP-. US Patent, 7277186 B2, [2007-10-02].

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