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Formulation of perfect-crystal diffraction from Takagi-Taupin equations. Numerical implementation in the crystalpy library

Computational Physics 2024-06-26 v1 Materials Science Optics

Abstract

The Takagi-Taupin equations are solved in their simplest form (zero deformation) to obtain the Bragg-diffracted and transmitted complex amplitudes. The case of plane-parallel crystal plates is discussed using a matrix model. The equations are implemented in an open-source python library crystalpy adapted for numerical applications such as crystal reflectivity calculations and ray tracing.

Keywords

Cite

@article{arxiv.2406.16960,
  title  = {Formulation of perfect-crystal diffraction from Takagi-Taupin equations. Numerical implementation in the crystalpy library},
  author = {Jean-Pierre Guigay and Manuel Sanchez del Rio},
  journal= {arXiv preprint arXiv:2406.16960},
  year   = {2024}
}

Comments

11 pages, 6 figures