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

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… Click to show full 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.

Keywords: coherent diffraction; ray nanobeam; takagi taupin; bragg coherent; nanobeam bragg; taupin equations

Journal Title: Physical Review B
Year Published: 2024

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