Extending the Takagi-Taupin equations for x-ray nanobeam Bragg coherent diffraction

2024/07/11 by Tao Zhou, Mathew J. Cherukara, Zhou, T. +17 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Electron Microscopy Techniques and Applications #Advanced X-ray Imaging Techniques #Crystallography and Radiation Phenomena #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

paper · pdf · doi:10.48550/arxiv.2407.08146

openalex publication_date 2024/07/11 · openalex created_date 2024/07/14 · openalex updated_date 2026/07/31

Abstract

We present a new approach for simulating x-ray nanobeam Bragg coherent diffraction patterns based on the Takagi-Taupin equations. Compared to conventional methods, the current approach can be universally applied to any weakly strained system including semi-infinite crystals that diffract dynamically. It addresses issues such as the curved wavefront and re-divergence of the focused incident beam. We show excellent agreement against experimental data on a strained La0.7Sr0.3MnO3 thin film on SrTiO3 substrate, and a path to extracting physical information using automatic differentiation.

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