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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 34 — Dec. 1, 2003
  • pp: 6846–6852

Phase recovery from a single undersampled interferogram

Jesús Muñoz, Marija Strojnik, and Gonzalo Páez  »View Author Affiliations


Applied Optics, Vol. 42, Issue 34, pp. 6846-6852 (2003)
http://dx.doi.org/10.1364/AO.42.006846


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Abstract

A new method of phase determination from a single undersampled interferogram is described. Two low-fringe-density synthetic interferograms corresponding to the phase differences along orthogonal directions are obtained from neighboring pixels of the aliased measured data. The only assumption is that the illumination background, the modulation intensity, and the searched phase are smooth and continuous functions. The synthetic interferograms are demodulated by use of either standard frequency or spatial-domain procedures to obtain the phase differences. The phase is then recovered by integration of the phase differences with a least-squares method. The proposed method is demonstrated to be noise tolerant.

© 2003 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(220.4840) Optical design and fabrication : Testing

History
Original Manuscript: July 31, 2003
Published: December 1, 2003

Citation
Jesús Muñoz, Marija Strojnik, and Gonzalo Páez, "Phase recovery from a single undersampled interferogram," Appl. Opt. 42, 6846-6852 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-34-6846


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