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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 2 — Jan. 10, 2010
  • pp: 170–179

Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique

Chao Tian, Yongying Yang, Dong Liu, Yongjie Luo, and Yongmo Zhuo  »View Author Affiliations


Applied Optics, Vol. 49, Issue 2, pp. 170-179 (2010)
http://dx.doi.org/10.1364/AO.49.000170


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Abstract

The two-dimensional regularized phase-tracking (RPT) technique is one of the most powerful approaches to demodulate a single interferogram with either open or closed fringes. However, it often fails in the cases of complex interferograms and needs well-defined scanning strategies. An improved algorithm based on the RPT is presented in this paper. We use a paraboloid phase model to approximate the phase function and modify the cost functional to search the smoothest phase solutions in the function space C 2 . With these modifications, the phase tracker preserves the robustness of the RPT while at the same time it is no more sensitive to stationary points and is capable of demodulating complex interferograms with arbitrary scanning schemes. Moreover, the phase reconstructed by the proposed algorithm is normally more accurate than that of the RPT both for noiseless and noisy interferograms under the same conditions. Computer simulations and experimental results are both presented.

© 2010 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Image Processing

History
Original Manuscript: July 29, 2009
Revised Manuscript: November 15, 2009
Manuscript Accepted: November 30, 2009
Published: January 7, 2010

Citation
Chao Tian, Yongying Yang, Dong Liu, Yongjie Luo, and Yongmo Zhuo, "Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique," Appl. Opt. 49, 170-179 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-2-170

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