Deterministic Bragg Coherent Diffraction Imaging

Konstantin M. Pavlov, Vasily I Punegov, Kaye S. Morgan, Gerd Schmalz, David M. Paganin

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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.

Original languageEnglish
Article number1132
Number of pages15
JournalScientific Reports
Issue number1
Publication statusPublished - 1 Dec 2017

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