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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 37, Iss. 18 — Sep. 15, 2012
  • pp: 3843–3845

Phase-recovery improvement using analytic wavelet transform analysis of a noisy interferogram cepstrum

Pablo Etchepareborda, Ana Laura Vadnjal, Alejandro Federico, and Guillermo H. Kaufmann  »View Author Affiliations


Optics Letters, Vol. 37, Issue 18, pp. 3843-3845 (2012)
http://dx.doi.org/10.1364/OL.37.003843


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Abstract

We evaluate the extension of the exact nonlinear reconstruction technique developed for digital holography to the phase-recovery problems presented by other optical interferometric methods, which use carrier modulation. It is shown that the introduction of an analytic wavelet analysis in the ridge of the cepstrum transformation corresponding to the analyzed interferogram can be closely related to the well-known wavelet analysis of the interferometric intensity. Subsequently, the phase-recovery process is improved. The advantages and limitations of this framework are analyzed and discussed using numerical simulations in singular scalar light fields and in temporal speckle pattern interferometry.

© 2012 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6150) Instrumentation, measurement, and metrology : Speckle imaging
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: April 27, 2012
Revised Manuscript: August 14, 2012
Manuscript Accepted: August 14, 2012
Published: September 12, 2012

Citation
Pablo Etchepareborda, Ana Laura Vadnjal, Alejandro Federico, and Guillermo H. Kaufmann, "Phase-recovery improvement using analytic wavelet transform analysis of a noisy interferogram cepstrum," Opt. Lett. 37, 3843-3845 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-18-3843

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