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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 20 — Oct. 15, 2012
  • pp: 4278–4280

Fringe demodulation using the two-dimensional phase differencing operator

Gannavarpu Rajshekhar and Pramod Rastogi  »View Author Affiliations


Optics Letters, Vol. 37, Issue 20, pp. 4278-4280 (2012)
http://dx.doi.org/10.1364/OL.37.004278


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Abstract

The Letter proposes a method for phase estimation from a fringe pattern. The proposed method relies on a parametric approach where the phase is locally approximated as a two-dimensional (2D) polynomial, with the ensuing polynomial coefficients as the respective parameters. These coefficients are then estimated using the phase differencing operator. Because of the 2D formulation, the proposed method simultaneously analyzes signal samples along the horizontal and vertical dimensions, which enables robust estimation in the presence of noise. In addition, the method directly provides the desired phase without the requirement of complex unwrapping algorithms. Simulation and experimental results are presented to validate the method’s potential.

© 2012 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 22, 2012
Revised Manuscript: September 4, 2012
Manuscript Accepted: September 4, 2012
Published: October 11, 2012

Citation
Gannavarpu Rajshekhar and Pramod Rastogi, "Fringe demodulation using the two-dimensional phase differencing operator," Opt. Lett. 37, 4278-4280 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-20-4278


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References

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