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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 26 — Sep. 10, 2000
  • pp: 4817–4825

Unwrapping circular interferograms

Igor Lyuboshenko  »View Author Affiliations


Applied Optics, Vol. 39, Issue 26, pp. 4817-4825 (2000)
http://dx.doi.org/10.1364/AO.39.004817


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Abstract

The Green’s formulation for phase unwrapping is generalized to the case of circular phase-support regions. A phase-unwrapping method, believed to be new, is developed in which two forms of the Green’s function are used, one in a closed form and the other in the form of a series of Helmholtz equation eigenfunctions to satisfy homogeneous Neumann boundary conditions in a circular domain. The contribution of the rotational part of the wrapped phase gradient that is due to phase-gradient inconsistencies (residues) is accounted for in the unwrapped phase. Computational results on the reconstruction of a simulated wave front in the presence of aberrations, and on unwrapping real synthetic aperture radar interferograms, show the usefulness and reliability of the method when applied to regions where the conventional rectangular support regions are impractical.

© 2000 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.5070) Image processing : Phase retrieval
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(280.6730) Remote sensing and sensors : Synthetic aperture radar

History
Original Manuscript: January 3, 2000
Revised Manuscript: June 12, 2000
Published: September 10, 2000

Citation
Igor Lyuboshenko, "Unwrapping circular interferograms," Appl. Opt. 39, 4817-4825 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-26-4817

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