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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. 14, Iss. 4 — Apr. 1, 1997
  • pp: 918–930

Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts

Kenichi Hibino, Bob F. Oreb, David I. Farrant, and Kieran G. Larkin  »View Author Affiliations


JOSA A, Vol. 14, Issue 4, pp. 918-930 (1997)
http://dx.doi.org/10.1364/JOSAA.14.000918


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Abstract

In phase-shifting interferometry spatial nonuniformity of the phase shift gives a significant error in the evaluated phase when the phase shift is nonlinear. However, current error-compensating algorithms can counteract the spatial nonuniformity only in linear miscalibrations of the phase shift. We describe an error-expansion method to construct phase-shifting algorithms that can compensate for nonlinear and spatially nonuniform phase shifts. The condition for eliminating the effect of nonlinear and spatially nonuniform phase shifts is given as a set of linear equations of the sampling amplitudes. As examples, three new algorithms (six-sample, eight-sample, and nine-sample algorithms) are given to show the method of compensation for a quadratic and spatially nonuniform phase shift.

© 1997 Optical Society of America

History
Original Manuscript: September 24, 1996
Manuscript Accepted: November 4, 1996
Published: April 1, 1997

Citation
Kenichi Hibino, Bob F. Oreb, David I. Farrant, and Kieran G. Larkin, "Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts," J. Opt. Soc. Am. A 14, 918-930 (1997)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-14-4-918

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