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Proceedings Paper

Two-dimensional Fourier transform algorithm analyzing the interferogram and the fringe shift
Author(s): Jinbang Chen; Rihong Zhu; Liandu Liu; Daojiong Chen; Mingyi Chen
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Paper Abstract

A 2-D fast Fourier transform (FFT) algorithm for analyzing interferograms and the fringe shift is described. The phase errors caused by nonlinear response of a detector and by a random noise are analyzed theoretically. From the analysis, it is concluded that (1) the phase error due to the nonlinear response of a detector can be canceled by the proper filter window in the transform plane, and (2) the 2-D transform permits better separation of the desired information components from unwanted components than a 1-D transform. The relationship of 2-D FFT algorithm accuracy with factors such as the quantization of grey levels, spatial carrier frequency, spatial scanning direction, pixel array, form of the wavefront to be tested, etc., are discussed by analyzing a simulated ideal interferogram. An example of analyzing an actual interferogram and measuring the displacement of a piezoelectric transducer (PZT) device is given. In principle, the 2-D FFT algorithm can attain to an accuracy of (lambda) /100 approximately (lambda) /200 under optimum parameter conditions.

Paper Details

Date Published: 1 January 1992
PDF: 10 pages
Proc. SPIE 1553, Laser Interferometry IV: Computer-Aided Interferometry, (1 January 1992); doi: 10.1117/12.135356
Show Author Affiliations
Jinbang Chen, East China Institute of Technology (China)
Rihong Zhu, East China Institute of Technology (China)
Liandu Liu, East China Institute of Technology (China)
Daojiong Chen, East China Institute of Technology (China)
Mingyi Chen, Shanghai Univ. of Science and Technology (China)


Published in SPIE Proceedings Vol. 1553:
Laser Interferometry IV: Computer-Aided Interferometry
Ryszard J. Pryputniewicz, Editor(s)

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