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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 37, Iss. 2 — Jan. 15, 2012
  • pp: 262–264

Iterative retrieval of one-dimensional x ray wave field using a single intensity measurement

D. Pelliccia, D. M. Paganin, A. Sorrentino, I. Bukreeva, A. Cedola, and S. Lagomarsino  »View Author Affiliations

Optics Letters, Vol. 37, Issue 2, pp. 262-264 (2012)

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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

OCIS Codes
(100.5070) Image processing : Phase retrieval
(340.0340) X-ray optics : X-ray optics
(340.7440) X-ray optics : X-ray imaging

ToC Category:
X-ray Optics

Original Manuscript: July 22, 2011
Revised Manuscript: November 21, 2011
Manuscript Accepted: December 2, 2011
Published: January 13, 2012

D. Pelliccia, D. M. Paganin, A. Sorrentino, I. Bukreeva, A. Cedola, and S. Lagomarsino, "Iterative retrieval of one-dimensional x ray wave field using a single intensity measurement," Opt. Lett. 37, 262-264 (2012)

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