Unwrapping circular interferograms

The Green's formulation for phase unwrapping is generalized to the case of circular phase-support regions. A phase-unwrapping method, believed to be n ew, is developed in which two forms of the Green's function are used, one i n a closed form and the other in the form of a series of Helmholtz equation eigenfunctions to satisfy homogeneous Neumann boundary conditions in a cir cular domain. The contribution of the rotational part of the wrapped phase gradient that is due to phase-gradient inconsistencies (residues) is accoun ted for in the unwrapped phase. Computational results on the reconstruction of a simulated wave front in the presence of aberrations, and on unwrappin g real synthetic aperture radar interferograms, show the usefulness and rel iability of the method when applied to regions where the conventional recta ngular support regions are impractical. (C) 2000 Optical Society of America OCIS codes: 100.5070, 120.3180, 120.0280, 100.3010, 280.6730.