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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. 19, Iss. 5 — May. 1, 2002
  • pp: 992–1004

Optimization approach to the suppression of vibration errors in phase-shifting interferometry

Mark Milman  »View Author Affiliations


JOSA A, Vol. 19, Issue 5, pp. 992-1004 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000992


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Abstract

An optimization-based strategy is introduced for suppressing errors due to vibration in phase-shifting-interferometry algorithms. A norm-square integral criterion of the error as a function of vibration frequency is used as the basis of the optimization procedure. Analytical results are obtained for certain classes of problems, and numerical algorithms are used when these are not available. It is also shown that the effect of vibration-induced errors in the computation of a time-averaged phase estimate diminishes as the measurements are averaged. Simulations are used to validate the analysis and demonstrate the overall efficacy of the approach. Generalizations to multiple objective optimization problems are briefly discussed.

© 2002 Optical Society of America

OCIS Codes
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(120.7280) Instrumentation, measurement, and metrology : Vibration analysis

History
Original Manuscript: September 20, 2001
Revised Manuscript: November 1, 2001
Manuscript Accepted: November 7, 2001
Published: May 1, 2002

Citation
Mark Milman, "Optimization approach to the suppression of vibration errors in phase-shifting interferometry," J. Opt. Soc. Am. A 19, 992-1004 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-5-992

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