Abstract

We introduce the binary superposed phase retrieval problem that aims at reconstructing multiple 0/1-valued functions with nonoverlapping bounded supports from moduli of superpositions of several displaced copies of their individual Fourier transforms. We discuss an application in coherent diffraction imaging of crystalline objects, propose two algorithms, and evaluate their performance by means of simulations.

© 2010 Optical Society of America

Phase retrieval for multiple objects from their averaged diffraction

Rick P. Millane and Joe P. J. Chen
J. Opt. Soc. Am. A 32(7) 1317-1329 (2015)

Phase retrieval from the power spectrum of a periodic object

M. J. Pérez-Ilzarbe
J. Opt. Soc. Am. A 9(12) 2138-2148 (1992)

Phase retrieval with Fourier-weighted projections

Manuel Guizar-Sicairos and James R. Fienup
J. Opt. Soc. Am. A 25(3) 701-709 (2008)

Improved bounds on object support from autocorrelation support and application to phase retrieval

T. R. Crimmins, J. R. Fienup, and B. J. Thelen
J. Opt. Soc. Am. A 7(1) 3-13 (1990)

Sparsity-assisted solution to the twin image problem in phase retrieval

Charu Gaur, Baranidharan Mohan, and Kedar Khare
J. Opt. Soc. Am. A 32(11) 1922-1927 (2015)