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
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