Abstract

A least-squares method of transforming interferograms into spectra is compared with the traditional fast Fourier transform (FFT) for varying degree of point-spacing unevenness. A Gaussian distribution is assumed for the deviations from even spacing. FFT gives inferior spectra quality above a critical unevenness, which decreases as more interferograms are averaged.

Fast Fourier transform, iteration, and least-squares-fit demodulation image processing for analysis of single-carrier fringe pattern

Jie Gu and Fang Chen
J. Opt. Soc. Am. A 12(10) 2159-2164 (1995)

Phase extraction from randomly phase-shifted interferograms by combining principal component analysis and least squares method

Jiancheng Xu, Weimin Jin, Liqun Chai, and Qiao Xu
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D. E. Aspnes and H. Arwin
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V. G. Cooper
Appl. Opt. 10(3) 525-530 (1971)

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David L. Ederer
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