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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 9 — Mar. 20, 2012
  • pp: 1257–1265

Phase recovering without phase unwrapping in phase-shifting interferometry by cubic and average interpolation

Alejandro Téllez-Quiñones and Daniel Malacara-Doblado  »View Author Affiliations


Applied Optics, Vol. 51, Issue 9, pp. 1257-1265 (2012)
http://dx.doi.org/10.1364/AO.51.001257


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Abstract

A simple phase estimation employing cubic and average interpolations to solve the oversampling problem in smooth modulated phase images is described. In the context of a general phase-shifting process, without phase-unwrapping, the modulated phase images are employed to recover wavefront shapes with high fringe density. The problem of the phase reconstruction by line integration of its gradient requires a form appropriate to the calculation of partial derivatives, especially when the phase to recover has higher-order aberration values. This is achieved by oversampling the modulated phase images, and many interpolations can be implemented. Here an oversampling procedure based on the analysis of a quadratic cost functional for phase recovery, in a particular case, is proposed.

© 2012 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: September 14, 2011
Revised Manuscript: October 31, 2011
Manuscript Accepted: October 31, 2011
Published: March 15, 2012

Citation
Alejandro Téllez-Quiñones and Daniel Malacara-Doblado, "Phase recovering without phase unwrapping in phase-shifting interferometry by cubic and average interpolation," Appl. Opt. 51, 1257-1265 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-9-1257

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