title: Ambiguity of the phase-reconstruction problem.
abstract: Is it possible to determine a function with a finite support from the modulus of its Fourier transform? This problem, the so-called phase problem, is studied theoretically and numerically. It is shown theoretically that, at least for a wide class of functions, such determination is not possible. The theory developed in this Letter is essentially two dimensional. Examples are given and studied numerically.
authors.affiliation: Department of Applied Physics, State University at Groningen, Universiteitscomplex Paddepoel, Nijenborgh 18, 9747 AG Groningen, The Netherlands.
authors.forename: A M
authors.initials: AM
authors.lastname: Huiser
authors.forename: P
authors.initials: P
authors.lastname: van Toorn