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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 23 — Nov. 10, 2008
  • pp: 18922–18932

Algorithm for multiple-beam Fizeau interferograms with arbitrary phase shifts

Jiancheng Xu, Qiao Xu, Liqun Chai, and Hansheng Peng  »View Author Affiliations

Optics Express, Vol. 16, Issue 23, pp. 18922-18932 (2008)

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The objective of this paper is to describe a novel method for phase extraction from multiple-beam Fizeau interferograms with arbitrary phase shifts. The approach begins with applying FFT method to estimate the phase shifts and then utilizes least-squares iterative algorithm to extract phase and phase shifts simultaneously. If the spatial carrier frequency of the fringes is high enough to separate the phase of the first-order maximum in the Fourier domain, the proposed method requires only two iterative cycles to accurately extract phase information from seven multiple-beam Fizeau interferograms with arbitrary phase shifts. Numerical simulations and experiments demonstrate the effectiveness of the proposed algorithm. A comprehensive analysis of the influences of systematic errors (spatial carrier frequency, reflectivity coefficient, and random noise) on the evaluation of phase shifts and phase is presented. The method has applications in high precision interferometry.

© 2008 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: July 24, 2008
Revised Manuscript: September 5, 2008
Manuscript Accepted: October 20, 2008
Published: November 3, 2008

Jiancheng Xu, Qiao Xu, Liqun Chai, and Hansheng Peng, "Algorithm for multiple-beam Fizeau interferograms with arbitrary phase shifts," Opt. Express 16, 18922-18932 (2008)

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