REN Huan MA Li LIU Xu HE Yong ZHENG Wan-guo ZHU Ri-hong. Optical element test with multiple surface interference[J]. Editorial Office of Optics and Precision Engineering, 2013,21(5): 1144-1150
REN Huan MA Li LIU Xu HE Yong ZHENG Wan-guo ZHU Ri-hong. Optical element test with multiple surface interference[J]. Editorial Office of Optics and Precision Engineering, 2013,21(5): 1144-1150 DOI: 10.3788/OPE.20132105.1144.
Optical element test with multiple surface interference
To eliminate the effect of multi-surface interferometric effect on the profile measurement of transparent elements
an interferometric fringe measuring method was proposed based on wavelength tuning and Fourier transfer. Firstly
according to the principle of wavelength-tuned phase shifing and the thickness of the element to be measured
the element was put a proper position in the test accordance with the proportional relation between cavity length and element thickness. And then
a group of interferograms were captured by the wavelength phase-shifting technology. Finally
with disperse Fourier transform for the group of interferograms
the frequency information for the front surface
back surface and thickness variation of the measured element was extracted and the accurate surface information and thickness information were obtained through a reconstruction algorithm. Experimental results indicate that the differences of PV and RMS for the front surface are 0.003 and 0.001
and those for the back surface are 0 and 0.001 respectively as compared with the traditional 13-step phase-shifting interferometry. These results satisfy the system requirements of the high precision test and the lustration test of the elements.
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MALACARA D. Optical Shop Testing \[M\]. New York:John Wiley& Sons,1992.[2]于瀛洁,韦春龙,陈明仪. 移相式数字波面干涉仪中的几个技术问题\[J\]. 光学 精密工程,2001,9(6): 584-587.YU Y J, WEI CH L, CHEN M Y. Technical problems in digital phase-stepping flatness interferometers\[J\]. Opt. Precision Eng., 2001, 9(6): 584-587. (in Chinese)[3]徐建程. 相位干涉测量的信息理论分析\[D\].四川:中国工程物理研究院,2009.XU J CH. Information theory analysis of the phase-measurement interferometry\[D\]. Sichuan: CAEP,2009. (in Chinese)[4]朱日宏,陈磊,王青,等. 移相干涉测量术及其应用\[J\]. 应用光学,2006,27(2):85-88.ZHU R H, CHEN L, WANG Q,et al.. Phase-shift interferometry and its application \[J\]. Journal of Applied Optics, 2006,27(2):85-88. (in Chinese)[5]苏大图.光学测试技术\[M\].北京:北京理工大学出版社,1996.SU D T. Optical Testing Technology\[M\].Beijing: Beijing Institute of Technology Press,1996. (in Chinese)[6]从方勇. 平行平板干涉测量技术研究\[D\].南京:南京理工大学,2008.CONG F Y. Research of testing the parallel plates\[D\].Nanjing:Nanjing University of Science and Technology, 2008. (in Chinese)[7]黄玫瑰. 基于变波长激光器测量平行平板的平行度\[D\]. 南京:南京理工大学,2009.HUANG M G. The measuring of the parallel plates via wavelength phase-shifting interferometry \[D\]. Nanjing:Nanjing University of Science and Technology, 2009. (in Chinese)[8]郝晶晶.波长移相干涉测量技术研究 \[D\]. 南京:南京理工大学,2007.HAO J J. Reasearch of the wavelength phase-shifting interferometry \[D\]. Nanjing:Nanjing University of Science and Technology, 2007. (in Chinese)[9]李文喆. 波长移相干涉的标定方法研究 \[D\]. 南京:南京理工大学,2009.LI W ZH. Reasearch of phase shifting calibration of the wavelength phase-shifting interferometery\[D\]. Nanjing:Nanjing University of Science and Technology,2009. (in Chinese)[10]de GROOT P. Measurement of transparent plates with wavelength-tuned phase-shifting interferometry \[J\].Applied Optics, 2000,39(16):2658-2663.[11]de GROOT P. Optical thickness measurement of substrates using a transmitted wavefront test at two wavelengths to average out multiple reflection errors \[J\]. SPIE, 2002, 4777: 177-183.[12]de GROOT P. Method and system for profiling objects having multiple reflective surfaces using wavelength-tuning phase-shifting interfereometry: US,No6359692 [P]. 2002.[13]徐建程,石琦凯,柴立群,等. 三表面干涉条纹空域傅里叶分析 \[J\] . 中国激光, 2006, 33(9):1260-1264.XU J CH, SHI Q K, CHAI L Q, et al.. Spatial fourier fringe analysis with single three surface interferogram\[J\]. Chinese Journal Of Lasers, 2006, 33 (9): 1260-1264. (in Chinese)[14]郭仁慧,李建欣,朱日宏,等. 波长调谐随机移相算法的研究\[J\]. 中国激光,2012,39(5): 0508002-1-0508002-6.GUO R H, LI J X, ZHU R H, et al.. Research on the randomly phase shifting algorithm with wavelength tuning\[J\]. Chinese Journal of Lasers, 2012,39(5): 0508002-1-0508002-6. (in Chinese)[15]于瀛洁,张本好,焦云芳. 波长移相干涉仪的算法研究\[J\]. 光学 精密工程, 2003, 11(6): 560-566. (in Chinese)YU Y J, ZHANG B H, JIAO Y F. Algorithms of the phase-shifting interferometer via wavelength tuning\[J\]. Opt. Precision Eng., 2003,11(6):560-566.[16]DECK L L. Fourier-transform phase-shifting interferometry \[J\]. Applied Optics, 2003, 42(13):2354-2365.[17]KENICHI H, et al.. Improved algorithms for wavelength scanning interferometry:application to the simultaneous measurement of surface topography and optical thickness variation in a transparent parallel plate\[J\]. SPIE,2002,4777:212-219.[18]孙流星,于瀛洁. 基于波长移相的改进加权多步算法\[J\]. 中国计量学院学报,2004,4(15):294-298.SUN L X, YU Y J. Weighted multi-step phase-shifting algorithm developed via wavelength tunning\[J\]. Journal of China Jiliang University, 2004,4(15):294-298. (in Chinese)[19]刘艳,苏东奇,杨怀江,等.高精度干涉检验移相算法对振动误差的免疫能力\[J\]. 中国光学与应用光学,2010,3(5): 500-508.LIU Y, SU D Q, YANG H J, et al.. Immunity of phase shifting algorithms to vibration errors in high-accuracy interferometry\[J\]. Chinese Journal of Optics and Applied Optics,2010,3(5):500-508. (in Chinese)[20]亓波,陈洪斌,刘顺发. Zernike多项式波面拟合的回归分析方法\[J\]. 光学 精密工程, 2007, 15(3):396-400.QI B, CHEN H B, LIU SH F. Regression analysis of wavefront fitting using Zernike polynomial[J]. Opt. Precision Eng., 2007,15(3):396-400. (in Chinese)