A simple time-splitting pseudospectral method for the computation of the Dirac equation with Perfectly Matched Layers is proposed. Within this approach, basic and widely used FFT-based solvers can be adapted without much effort to compute Initial Boundary Value Problems for the time-dependent Dirac equation with absorbing boundary layers. Some numerical examples from laser-physics are proposed to illustrate the method.

Additional Metadata
Keywords Dirac equation, High-order accuracy, Perfectly Matched Layers, Pseudospectral approximation, Time-splitting
Persistent URL dx.doi.org/10.1016/j.jcp.2019.06.020
Journal Journal of Computational Physics
Citation
Antoine, X. (Xavier), & Lorin, E. (2019). A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. Journal of Computational Physics, 395, 583–601. doi:10.1016/j.jcp.2019.06.020