Extending the Takagi-Taupin equations for x-ray nanobeam Bragg coherent diffraction
We present an 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 wave front and redivergence of the focused incident beam. We show excellent agreement with experimental data for a strained ${\mathrm{La}}_{0.7}{\mathrm{Sr}}_{0.3}{\mathrm{MnO}}_{3}$ thin film on a ${\mathrm{SrTiO}}_{3}$ substrate and a path to extracting physical information using automatic differentiation.
Authors
- Tao Zhou (ORCID: https://orcid.org/0000-0002-8093-7666)
- Oleg Shpyrko (ORCID: https://orcid.org/0000-0001-7838-214X)
- Saugat Kandel (ORCID: https://orcid.org/0000-0002-7324-2559)
- Martin Victor Holt (ORCID: https://orcid.org/0000-0003-2640-7100)
- Zhonghou Cai (ORCID: https://orcid.org/0000-0001-8158-6186)
- Marc Allain (ORCID: https://orcid.org/0000-0002-4922-7092)
- Mathew J. Cherukara (ORCID: https://orcid.org/0000-0002-1475-6998)
- S. O. Hruszkewycz (ORCID: https://orcid.org/0000-0002-9394-9252)
- Yayoi Takamura (ORCID: https://orcid.org/0000-0002-7946-9279)
- Nelson Hua (ORCID: https://orcid.org/0000-0002-4642-3821)
Institutions
- Argonne National Laboratory (US)
- Aix-Marseille Université (FR)
- University of California San Diego (US)
- Institut Fresnel (FR)
- Centrale Méditerranée (FR)
- University of California, Davis (US)
Publication Details
- Journal
- Physical review. B./Physical review. B
- Published
- 2024-08-30
- DOI
- https://doi.org/10.1103/physrevb.110.054116
- Citations
- 5
- Primary Topic
- Advanced X-ray Imaging Techniques
- Type
- article
- Field-Weighted Citation Impact
- 3.04
Funders
- National Science Foundation
- U.S. Department of Energy
- Office of Science
- Basic Energy Sciences