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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 28, Iss. 14 — Jul. 15, 2003
  • pp: 1194–1196

Fast phase unwrapping algorithm for interferometric applications

Marvin A. Schofield and Yimei Zhu  »View Author Affiliations


Optics Letters, Vol. 28, Issue 14, pp. 1194-1196 (2003)
http://dx.doi.org/10.1364/OL.28.001194


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Abstract

A wide range of interferometric techniques recover phase information that is mathematically wrapped on the interval (-π,π] . Obtaining the true unwrapped phase is a longstanding problem. We present an algorithm that solves the phase unwrapping problem, using a combination of Fourier techniques. The execution time for our algorithm is equivalent to the computation time required for performing eight fast Fourier transforms and is stable against noise and residues present in the wrapped phase. We have extended the algorithm to handle data of arbitrary size. We expect the state of the art of existing interferometric applications, including the possibility for real-time phase recovery, to benefit from our algorithm.

© 2003 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(070.2590) Fourier optics and signal processing : ABCD transforms
(090.2880) Holography : Holographic interferometry
(100.2000) Image processing : Digital image processing
(100.5070) Image processing : Phase retrieval
(350.5030) Other areas of optics : Phase

Citation
Marvin A. Schofield and Yimei Zhu, "Fast phase unwrapping algorithm for interferometric applications," Opt. Lett. 28, 1194-1196 (2003)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-28-14-1194


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