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Proceedings Paper

General phase-stepping algorithm using a Lissajous figure technique
Author(s): Chunlong Wei; Mingyi Chen; Hongwei Guo; Zhijiang Wang
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Paper Abstract

Many phase-stepping algorithms have been developed for last decade. Some of them may be more attractive to practical measurement because of the insensitivity to phase-stepping errors. But it should be noticed that all existing phase- stepping algorithm need to know or calculate the phase steps. Why cannot we extract the measured phase without knowing or calculating phase steps. A new phase-stepping algorithm is proposed by our group. The algorithm can be implemented without knowing or calculating the phase steps. Actually, the new algorithm gives important improvements for the algorithms developed by C.T. Farrell and M.A. Player. Based on using Lissajous figures and ellipse fitting, the new algorithm introduces a simple transform for the intensity of the interferograms. New phase extraction expressions are derived. The simulating results indicate that the new algorithm is insensitive to phase-stepping errors and the accuracy of the new algorithm is only limited by the computation truncation errors.

Paper Details

Date Published: 30 June 1998
PDF: 6 pages
Proc. SPIE 3478, Laser Interferometry IX: Techniques and Analysis, (30 June 1998); doi: 10.1117/12.312963
Show Author Affiliations
Chunlong Wei, Shanghai Univ. (China)
Mingyi Chen, Shanghai Univ. (China)
Hongwei Guo, Shanghai Univ. (China)
Zhijiang Wang, Shanghai Institute of Optics and Fine Mechanics (China)

Published in SPIE Proceedings Vol. 3478:
Laser Interferometry IX: Techniques and Analysis
Malgorzata Kujawinska; Gordon M. Brown; Mitsuo Takeda, Editor(s)

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