A Space-Time Approach for the Time-Domain Simulation in a Rotating Reference Frame
Computational Physics
2017-06-20 v1 Computational Engineering, Finance, and Science
Abstract
We approach the discretisation of Maxwell's equations directly in space-time without making any non-relativistic assumptions with the particular focus on simulations in rotating reference frames. As a research example we study Sagnac's effect in a rotating ring resonator. After the discretisation, we express the numerical scheme in a form resembling 3D FIT with leapfrog. We compare the stability and convergence properties of two 4D approaches, namely FIT and FEM, both using Whitney interpolation.
Cite
@article{arxiv.1706.05748,
title = {A Space-Time Approach for the Time-Domain Simulation in a Rotating Reference Frame},
author = {Marius Klimek and Stefan Kurz and Sebastian Schöps and Thomas Weiland},
journal= {arXiv preprint arXiv:1706.05748},
year = {2017}
}