Accelerated phase-measuring algorithm of least squares for phase-shifting interferometry

被引:34
作者
Kim, SW
Kang, MG
Han, GS
机构
[1] Korea Adv. Inst. Sci. and Technol., Department of Mechanical Engineering, Lab. for Prec. Eng. and Metrology, Yusong-gu, Taejon
关键词
phase-shifting interferometry; phase-measuring algorithms; least squares; phase shift errors;
D O I
10.1117/1.601546
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
One important issue in phase-shifting interferometry is to eliminate or compensate for phase shift errors. One solution is to adopt a least-squares technique in that actual reference values of phase shifts are readily identified directly from interferograms. This however, requires a relatively long computation time since a considerable amount of intensity information must be processed in an iterative way. To cope with this problem, we present an accelerated version of a least-squares phase-measuring algorithm that can drastically reduce computation time. (C) 1997 Society of Photo-Optical Instrumentation Engineers.
引用
收藏
页码:3101 / 3106
页数:6
相关论文
共 8 条
[1]   DIGITAL WAVEFRONT MEASURING INTERFEROMETER FOR TESTING OPTICAL SURFACES AND LENSES [J].
BRUNING, JH ;
HERRIOTT, DR ;
GALLAGHER, JE ;
ROSENFELD, DP ;
WHITE, AD ;
BRANGACCIO, DJ .
APPLIED OPTICS, 1974, 13 (11) :2693-2703
[2]   GENERALIZED DATA REDUCTION FOR HETERODYNE INTERFEROMETRY [J].
GREIVENKAMP, JE .
OPTICAL ENGINEERING, 1984, 23 (04) :350-352
[3]   NUMERICAL CORRECTION OF REFERENCE PHASES IN PHASE-SHIFTING INTERFEROMETRY BY ITERATIVE LEAST-SQUARES FITTING [J].
HAN, GS ;
KIM, SW .
APPLIED OPTICS, 1994, 33 (31) :7321-7325
[4]   GENERAL ALGORITHM OF PHASE-SHIFTING INTERFEROMETRY BY ITERATIVE LEAST-SQUARES FITTING [J].
KONG, IB ;
KIM, SW .
OPTICAL ENGINEERING, 1995, 34 (01) :183-188
[5]  
Malacara D., 1992, Optical Shop Testing, P501
[6]   SIMULTANEOUS CALCULATION OF PHASE DISTRIBUTION AND SCANNING PHASE-SHIFT IN PHASE-SHIFTING INTERFEROMETRY [J].
OKADA, K ;
SATO, A ;
TSUJIUCHI, J .
OPTICS COMMUNICATIONS, 1991, 84 (3-4) :118-124
[7]   EXTENDED AVERAGING TECHNIQUE FOR DERIVATION OF ERROR-COMPENSATING ALGORITHMS IN PHASE-SHIFTING INTERFEROMETRY [J].
SCHMIT, J ;
CREATH, K .
APPLIED OPTICS, 1995, 34 (19) :3610-3619
[8]   PHASE-STEPPING - A NEW SELF-CALIBRATING ALGORITHM [J].
SURREL, Y .
APPLIED OPTICS, 1993, 32 (19) :3598-3600