Time-dependent dynamical Bragg diffraction in deformed crystals by beam propagation method (BPM)

Abstract

This paper describes how to efficiently solve time-dependent x-ray dynamic diffraction problems in distorted crystals with an FFT-based beam propagation method (FFT BPM). We show examples of using the technique to simulate the propagation of x-ray beams in deformed crystals in space and time domains relevant to the cavity-based x-ray Free Electron Lasers (CBXFELs) and XFEL self-seeding systems.

we have corrected typos in Eq. 9 and 10 and in the caption of Fig. 5