Coordinate transform method for closed fringe analysis

Zongtao Ge; Fumio Kobayashi; Shinichi Matsuda; Mitsuo Takeda

doi:10.1117/12.498424

7 March 2006 Coordinate transform method for closed fringe analysis

Zongtao Ge, Fumio Kobayashi, Shinichi Matsuda, Mitsuo Takeda

Proceedings Volume 4101, Laser Interferometry X: Techniques and Analysis; (2006) https://doi.org/10.1117/12.498424
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

A coordinate transform method is proposed which enables the Fourier transform method to analyze interferograms including closed fringe patterns. According to the principle of the proposed method, closed fringe patterns in an interferogram can be converted to open fringe patterns by transforming the Cartesian coordinate system to a polar coordinate system. Phases corresponding to the open fringe interferograms can be obtained by analyzing the open fringe interferograms using the conventional Fourier transform method. Subsequently, the original phases corresponding to the closed fringe interferograms can be acquired by inverse coordinate transform. Computer simulation and experiments show that spherical wave fronts are accurately recovered by using the proposed method.

Citation Download Citation

Zongtao Ge, Fumio Kobayashi, Shinichi Matsuda, and Mitsuo Takeda "Coordinate transform method for closed fringe analysis", Proc. SPIE 4101, Laser Interferometry X: Techniques and Analysis, (7 March 2006); https://doi.org/10.1117/12.498424

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