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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 33 — Nov. 20, 2007
  • pp: 8007–8014

Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry

Rajesh Langoju, Abhijit Patil, and Pramod Rastogi  »View Author Affiliations


Applied Optics, Vol. 46, Issue 33, pp. 8007-8014 (2007)
http://dx.doi.org/10.1364/AO.46.008007


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Abstract

Signal processing methods based on maximum-likelihood theory, discrete chirp Fourier transform, and spectral estimation methods have enabled accurate measurement of phase in phase-shifting interferometry in the presence of nonlinear response of the piezoelectric transducer to the applied voltage. We present the statistical study of these generalized nonlinear phase step estimation methods to identify the best method by deriving the Cramér–Rao bound. We also address important aspects of these methods for implementation in practical applications and compare the performance of the best-identified method with other bench marking algorithms in the presence of harmonics and noise.

© 2007 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: May 30, 2007
Revised Manuscript: September 9, 2007
Manuscript Accepted: September 10, 2007
Published: November 15, 2007

Citation
Rajesh Langoju, Abhijit Patil, and Pramod Rastogi, "Statistical study of generalized nonlinear phase step estimation methods in phase-shifting interferometry," Appl. Opt. 46, 8007-8014 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-33-8007

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