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Computer Optics, 2019, Volume 43, Issue 6, Pages 1088–1092 (Mi co735)  

SHORT MESSAGE

Investigation of the tolerance of the phase retrieval algorithm to missing information at the center of a detector in the case of coherent scattering from an ordered structure

V. A. Ukleev

Laboratory for Neutron Scattering and Imaging (LNS), Paul Scherrer Institute (PSI), CH-5232 Villigen, Switzerland

Abstract: The hybrid input-output algorithm is a phase retrieval method that provides solution for the phase problem of coherent X-ray diffraction imaging of micro- and nano-objects from the diffraction pattern alone without using any focusing optics. In this paper, we have studied a tolerance of this algorithm to missing information at the center of the diffraction pattern, which is a frequent problem in problems of small-angle scattering. We considered the particular problem of the stability of the algorithm in the case of scattering from an ordered structure and provided a qualitative and quantitative description of the degradation of image reconstruction with an increase in the amount of missing information.

Keywords: coherent diffraction imaging, phase retrieval, small-angle scattering.

Funding Agency Grant Number
SNF Sinergia NanoSkyrmionics CRSII5-171003
This work was supported by the project SNF Sinergia CRSII5-171003 NanoSkyrmionics.


DOI: https://doi.org/10.18287/2412-6179-2019-43-6-1088-1092

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Full text: http://www.computeroptics.smr.ru/.../430620.html
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Received: 17.07.2018
Accepted:17.09.2019

Citation: V. A. Ukleev, “Investigation of the tolerance of the phase retrieval algorithm to missing information at the center of a detector in the case of coherent scattering from an ordered structure”, Computer Optics, 43:6 (2019), 1088–1092

Citation in format AMSBIB
\Bibitem{Ukl19}
\by V.~A.~Ukleev
\paper Investigation of the tolerance of the phase retrieval algorithm to missing information at the center of a detector in the case of coherent scattering from an ordered structure
\jour Computer Optics
\yr 2019
\vol 43
\issue 6
\pages 1088--1092
\mathnet{http://mi.mathnet.ru/co735}
\crossref{https://doi.org/10.18287/2412-6179-2019-43-6-1088-1092}


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