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.
©2012 Optical Society of America
Full Article | PDF ArticleMore Like This
Manuel Guizar-Sicairos, Kenneth Evans-Lutterodt, Abdel F. Isakovic, Aaron Stein, John B. Warren, Alec R. Sandy, Suresh Narayanan, and James R. Fienup
Opt. Express 18(17) 18374-18382 (2010)
A. Pein, S. Loock, G. Plonka, and T. Salditt
Opt. Express 24(8) 8332-8343 (2016)
Hyon Chol Kang, Hyung Taek Kim, Sang Soo Kim, Chan Kim, Tae Jun Yu, Seong Ku Lee, Chul Min Kim, I Jong Kim, Jae Hee Sung, Karol A. Janulewicz, Jongmin Lee, and Do Young Noh
Opt. Lett. 37(10) 1688-1690 (2012)