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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 2 — Feb. 1, 1999
  • pp: 378–395

Phase unwrapping for interferometric synthetic aperture radar by use of Helmholtz equation eigenfunctions and the first Green’s identity

Igor Lyuboshenko and Henri Maı̂tre  »View Author Affiliations


JOSA A, Vol. 16, Issue 2, pp. 378-395 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000378


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Abstract

We develop a new algorithm for interferometric synthetic aperture radar (SAR) phase unwrapping based on the first Green’s identity with the Green’s function representing a series in the eigenfunctions of the two-dimensional Helmholtz homogeneous differential equation. This provides closed-form solutions with use of one- or two-dimensional fast Fourier transforms. The algorithm is elaborated by using adaptive regularization of the interferometric phase gradient estimation. To diminish underestimation of the unwrapped phase typical of the linear phase unwrapping algorithms, the bias in the measured interferometric SAR phase is calculated in terms of the probability density function of the error in the processed interferometric SAR phase.

© 1999 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(280.6730) Remote sensing and sensors : Synthetic aperture radar
(350.5030) Other areas of optics : Phase

History
Original Manuscript: April 29, 1998
Revised Manuscript: September 8, 1998
Manuscript Accepted: September 29, 1998
Published: February 1, 1999

Citation
Igor Lyuboshenko and Henri Maı̂tre, "Phase unwrapping for interferometric synthetic aperture radar by use of Helmholtz equation eigenfunctions and the first Green’s identity," J. Opt. Soc. Am. A 16, 378-395 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-2-378

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