The analytic properties of multidimensional band-limited functions are described, with particular emphasis on the occurrence of zeros in the intensity distribution. It is shown that zeros at isolated points lead to ambiguities in the phase that have implications for phase retrieval, phase unwrapping, and phase-only reconstruction.
© 1985 Optical Society of America
Original Manuscript: June 25, 1984
Manuscript Accepted: December 14, 1984
Published: May 1, 1985
M. S. Scivier and M. A. Fiddy, "Phase ambiguities and the zeros of multidimensional band-limited functions," J. Opt. Soc. Am. A 2, 693-697 (1985)