Papers › A finite difference scheme for integrating the Takagi-Taupin equations on an arbitrary...
A finite difference scheme for integrating the Takagi-Taupin equations on an arbitrary orthogonal grid
Mads Carlsen, Hugh Simons
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
Calculating dynamical diffraction patterns for X-ray topography and similar x-ray scattering-imaging techniques require the numerical integration of the Takagi-Taupin equations. This is usually performed with a simple second order finite difference scheme on a sheared computational grid with two of the axes aligned with the wave vectors of the incident and scattered beams respectively. This dictates, especially at low scattering angles, an oblique grid of uneven step-sizes. Here we present a finite difference scheme that carries out this integration in slab-shaped samples on an arbitrary orthogonal grid by implicitly utilizing Fourier interpolation. The scheme achieves the expected second order convergence and a similar error to the traditional approach on similarly dense grids.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections