Necessary conditions for a unique solution to two-dimensional phase recovery
- 1 November 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (11) , 3190-3193
- https://doi.org/10.1063/1.526089
Abstract
In this paper we show that although in one dimension multiplicity of solutions to the phase reconstruction problem presents a serious problem, in two or more dimensions multiplicity is pathologically rare. We derive from a given solution pair (g,G) necessary conditions for the existence of alternative solution pairs (h,H), and a characterization of their form. The mathematical tools employed are from the theory of functions of two complex variables.Keywords
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