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General approaches for shear-correcting coordinate transformations in Bragg coherent diffraction imaging: Part 2 by Li, Peng; Maddali, Siddharth; Pateras, Anastasios; Calvo-Almazan, Irene; Hruszkewycz, Stephan O.; Chamard, Virginie; Allain, Marc is a scholarly article available to read on EtoBox.

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X-ray Bragg coherent diffraction imaging has been demonstrated as a powerful three-dimensional (3D) microscopy approach for the investigation of sub-micrometer-scale crystalline particles. It is based on the measurement of a series of coherent diffraction intensity patterns that are numerically inverted to retrieve an image of the spatial distribution of relative phase and amplitude of the Bragg structure factor of the scatterer. This 3D information, which is collected through an angular rotation of the sample, is necessarily obtained in a non-orthogonal frame in Fourier space that must be eventually reconciled. To deal with this, the currently favored approach (detailed in Part I) is to perform the entire inversion in conjugate non-orthogonal real and Fourier space frames, and to transform the 3D sample image into an orthogonal frame as a post-processing step for result analysis. In this article, a direct follow-up of Part I, we demonstrate two different transformation strategies that enable the entire inversion procedure of the measured data set to be performed in an orthogonal frame. The new approaches described here build mathematical and numerical frameworks that apply to the

Author

Li, Peng; Maddali, Siddharth; Pateras, Anastasios; Calvo-Almazan, Irene; Hruszkewycz, Stephan O.; Chamard, Virginie; Allain, Marc

Published

2019

Language

EN