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

Jean-Pierre Guigay; Manuel Sanchez del Rio

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arXiv · 2406.16960

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

Jean-Pierre Guigay·Manuel Sanchez del Rio

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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.

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Jean-Pierre Guigay, Manuel Sanchez del Rio. 2024-06-21. Formulation of perfect-crystal diffraction from Takagi-Taupin equations. Numerical implementation in the crystalpy library. https://arxiv.org/abs/2406.16960

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