title: Phase-space interpretation of deterministic phase retrieval.
abstract: Deterministic phase retrieval is reinterpreted in terms of phase-space optics. A novel derivation of the transport-of-intensity equation is presented based on the Wigner distribution function and the ambiguity function. The phase retrieval problem is formulated as estimating the local first-order moment of the Wigner function from intensity information. A comparison with phase-space tomography suggests a generalization of deterministic phase retrieval that provides larger flexibility for signal recovery. In addition, one particular numerical implementation of generalized deterministic phase retrieval is presented. Simulated intensity data are used to validate the method.
authors.affiliation: University of Massachusetts-Lowell, Department of Electrical and Computer Engineering, One University Avenue, Lowell, Massachusetts 01854, USA. a_semichaevsky@yahoo.com
authors.forename: Andrey
authors.initials: A
authors.lastname: Semichaevsky
authors.forename: Markus
authors.initials: M
authors.lastname: Testorf