English

A fast and accurate computation method for reflective diffraction simulations

Numerical Analysis 2023-06-02 v1 Numerical Analysis

Abstract

We present a new computation method for simulating reflection high-energy electron diffraction and the total-reflection high-energy positron diffraction experiments. The two experiments are used commonly for the structural analysis of material surface. The present paper improves the conventional numerical method, the multi-slice method, for faster computation, since the present method avoids the matrix-eigenvalue solver for the computation of matrix exponentials and can adopt higher-order ordinary differential equation solvers. Moreover, we propose a high-performance implementation based on multi-thread parallelization and cache-reusable subroutines. In our tests, this new method performs up to 2,000 times faster than the conventional method.

Keywords

Cite

@article{arxiv.2306.00271,
  title  = {A fast and accurate computation method for reflective diffraction simulations},
  author = {Shuhei Kudo and Yusaku Yamamoto and Takeo Hoshi},
  journal= {arXiv preprint arXiv:2306.00271},
  year   = {2023}
}
R2 v1 2026-06-28T10:52:45.813Z