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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Nature Portfolio
2017
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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) |
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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 |
_version_ |
1718395606244786176 |