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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 34, Iss. 22 — Aug. 1, 1995
  • pp: 4723–4730

Derivation of algorithms for phase-shifting interferometry using the concept of a data-sampling window

Peter de Groot  »View Author Affiliations


Applied Optics, Vol. 34, Issue 22, pp. 4723-4730 (1995)
http://dx.doi.org/10.1364/AO.34.004723


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Abstract

I propose a systematic way to derive efficient, error-compensating algorithms for phase-shifting interferometry by integer approximation of well-known data-sampling windows. The theoretical basis of the approach is the observation that many of the common sources of phase-estimation error can be related to the frequency-domain characteristics of the sampling window. Improving these characteristics can therefore improve the overall performance of the algorithm. Analysis of a seven-frame example algorithm demonstrates an exceptionally good resistance to first- and second-order distortions in the phase shift and a much reduced sensitivity to low-frequency mechanical vibration.

© 1995 Optical Society of America

History
Original Manuscript: May 20, 1994
Revised Manuscript: September 29, 1994
Published: August 1, 1995

Citation
Peter de Groot, "Derivation of algorithms for phase-shifting interferometry using the concept of a data-sampling window," Appl. Opt. 34, 4723-4730 (1995)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-34-22-4723

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