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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Bibliographic Details
Main Authors: Konstantin M. Pavlov, Vasily I. Punegov, Kaye S. Morgan, Gerd Schmalz, David M. Paganin
Format: article
Language:EN
Published: Nature Portfolio 2017
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Q
Online Access:https://doaj.org/article/c8c8409e5a3446e8b38e5f379b7f0828
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Summary: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.