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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. 16, Iss. 3 — Mar. 1, 1999
  • pp: 475–480

Phase-shifted interferometry without phase unwrapping: reconstruction of a decentered wave front

Gonzalo Páez and Marija Strojnik  »View Author Affiliations


JOSA A, Vol. 16, Issue 3, pp. 475-480 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000475


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Abstract

We apply the method of the line integration of the phase gradient to determine unambiguously the phase from several phase-shifted interferograms (intensity fringe patterns) without phase unwrapping. The ambiguities introduced owing to the multiple values of the arctangent function and to the necessity to invoke a priori knowledge in the regions of high-intensity gradients are avoided. A decentered wave front with circular boundaries is reconstructed from high-fringe-density interferograms with an error of less than 0.1 percent, thus demonstrating the feasibility of testing the off-axis optical elements with approximate reference components.

© 1999 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.4610) Instrumentation, measurement, and metrology : Optical fabrication
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

History
Original Manuscript: October 12, 1998
Manuscript Accepted: November 9, 1998
Published: March 1, 1999

Citation
Gonzalo Páez and Marija Strojnik, "Phase-shifted interferometry without phase unwrapping: reconstruction of a decentered wave front," J. Opt. Soc. Am. A 16, 475-480 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-3-475

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