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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1227–1233

Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts: comment

Yves Surrel  »View Author Affiliations


JOSA A, Vol. 15, Issue 5, pp. 1227-1233 (1998)
http://dx.doi.org/10.1364/JOSAA.15.001227


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Abstract

In the framework of phase-shifting interferometry, the characteristic polynomial theory is extended to deal with nonlinear and nonuniform phase-shift miscalibration. A general procedure for designing algorithms that are insensitive to those errors is presented. It is also shown how analytical expressions for the residual phase errors can be obtained. Finally, it is demonstrated that the coefficients of any algorithm can be given a Hermitian symmetry.

© 1998 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

History
Original Manuscript: May 2, 1997
Revised Manuscript: August 19, 1997
Manuscript Accepted: July 15, 1997
Published: May 1, 1998

Citation
Yves Surrel, "Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts: comment," J. Opt. Soc. Am. A 15, 1227-1233 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1227

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