Deterministic Bragg Coherent Diffraction Imaging

Abstract A deterministic variant of Bragg Coherent Diffraction Imaging is introduced in its kinematical approximation, for X-ray scattering from an imperfect crystal whose imperfections span no more than half of the volume of the crystal. This approach provides a unique analytical reconstruction of...

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Autores principales: Konstantin M. Pavlov, Vasily I. Punegov, Kaye S. Morgan, Gerd Schmalz, David M. Paganin
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/c8c8409e5a3446e8b38e5f379b7f0828
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spelling oai:doaj.org-article:c8c8409e5a3446e8b38e5f379b7f08282021-12-02T11:40:33ZDeterministic Bragg Coherent Diffraction Imaging10.1038/s41598-017-01164-x2045-2322https://doaj.org/article/c8c8409e5a3446e8b38e5f379b7f08282017-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01164-xhttps://doaj.org/toc/2045-2322Abstract A deterministic variant of Bragg Coherent Diffraction Imaging is introduced in its kinematical approximation, for X-ray scattering from an imperfect crystal whose imperfections span no more than half of the volume of the crystal. This approach provides a unique analytical reconstruction of the object’s structure factor and displacement fields from the 3D diffracted intensity distribution centred around any particular reciprocal lattice vector. The simple closed-form reconstruction algorithm, which requires only one multiplication and one Fourier transformation, is not restricted by assumptions of smallness of the displacement field. The algorithm performs well in simulations incorporating a variety of conditions, including both realistic levels of noise and departures from ideality in the reference (i.e. imperfection-free) part of the crystal.Konstantin M. PavlovVasily I. PunegovKaye S. MorganGerd SchmalzDavid M. PaganinNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-15 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Konstantin M. Pavlov
Vasily I. Punegov
Kaye S. Morgan
Gerd Schmalz
David M. Paganin
Deterministic Bragg Coherent Diffraction Imaging
description Abstract A deterministic variant of Bragg Coherent Diffraction Imaging is introduced in its kinematical approximation, for X-ray scattering from an imperfect crystal whose imperfections span no more than half of the volume of the crystal. This approach provides a unique analytical reconstruction of the object’s structure factor and displacement fields from the 3D diffracted intensity distribution centred around any particular reciprocal lattice vector. The simple closed-form reconstruction algorithm, which requires only one multiplication and one Fourier transformation, is not restricted by assumptions of smallness of the displacement field. The algorithm performs well in simulations incorporating a variety of conditions, including both realistic levels of noise and departures from ideality in the reference (i.e. imperfection-free) part of the crystal.
format article
author Konstantin M. Pavlov
Vasily I. Punegov
Kaye S. Morgan
Gerd Schmalz
David M. Paganin
author_facet Konstantin M. Pavlov
Vasily I. Punegov
Kaye S. Morgan
Gerd Schmalz
David M. Paganin
author_sort Konstantin M. Pavlov
title Deterministic Bragg Coherent Diffraction Imaging
title_short Deterministic Bragg Coherent Diffraction Imaging
title_full Deterministic Bragg Coherent Diffraction Imaging
title_fullStr Deterministic Bragg Coherent Diffraction Imaging
title_full_unstemmed Deterministic Bragg Coherent Diffraction Imaging
title_sort deterministic bragg coherent diffraction imaging
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/c8c8409e5a3446e8b38e5f379b7f0828
work_keys_str_mv AT konstantinmpavlov deterministicbraggcoherentdiffractionimaging
AT vasilyipunegov deterministicbraggcoherentdiffractionimaging
AT kayesmorgan deterministicbraggcoherentdiffractionimaging
AT gerdschmalz deterministicbraggcoherentdiffractionimaging
AT davidmpaganin deterministicbraggcoherentdiffractionimaging
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