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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 14 — May. 10, 2013
  • pp: 3381–3386

Iterative phase-shifting algorithm immune to random phase shifts and tilts

Yi-Chun Chen, Po-Chih Lin, Chung-Min Lee, and Chao-Wen Liang  »View Author Affiliations


Applied Optics, Vol. 52, Issue 14, pp. 3381-3386 (2013)
http://dx.doi.org/10.1364/AO.52.003381


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Abstract

An iterative phase-shifting algorithm based on the least-squares principle is developed to overcome the random piston and tilt wavefront errors generated from the phase shifter. The algorithm iteratively calculates the phase distribution and the phase-shifting map to minimize the sum of squared errors in the interferograms. The performance of the algorithm is evaluated via computer simulations and validated by the Fizeau interferometer measurements. The results show that the proposed algorithm has a fast convergence rate and satisfactory phase-estimation accuracy, improving the measurement precision of the phase-shifting interferometers with significant phase-shifter errors.

© 2013 Optical Society of America

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

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: November 21, 2012
Revised Manuscript: March 20, 2013
Manuscript Accepted: April 15, 2013
Published: May 9, 2013

Virtual Issues
Vol. 8, Iss. 6 Virtual Journal for Biomedical Optics

Citation
Yi-Chun Chen, Po-Chih Lin, Chung-Min Lee, and Chao-Wen Liang, "Iterative phase-shifting algorithm immune to random phase shifts and tilts," Appl. Opt. 52, 3381-3386 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-14-3381

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