title: Iterative retrieval of one-dimensional x ray wave field using a single intensity                 measurement.
abstract: The problem of retrieving a complex function from the modulus of its Fourier transform has non-unique solutions in one dimension. Therefore iterative phase retrieval methods cannot in general be confidently applied to one-dimensional problems, due to the presence of ambiguities. We present a method for a posteriori reduction of the ambiguities based on the correlation analysis of the solution of a large number of runs of an iterative phase retrieval algorithm with different random starting phases. The method is applied to experimentally measured diffraction patterns from an x ray waveguide illuminated by hard x rays. We demonstrate the possibility of retrieving the complex wave field at the exit face of the waveguide and compare the result with theoretical prediction.
authors.affiliation: School of Physics, Monash University, Clayton, Victoria, Australia.
authors.forename: D
authors.initials: D
authors.lastname: Pelliccia
authors.forename: D M
authors.initials: DM
authors.lastname: Paganin
authors.forename: A
authors.initials: A
authors.lastname: Sorrentino
authors.forename: I
authors.initials: I
authors.lastname: Bukreeva
authors.forename: A
authors.initials: A
authors.lastname: Cedola
authors.forename: S
authors.initials: S
authors.lastname: Lagomarsino