A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media
Computational Physics
2023-07-25 v1 Numerical Analysis
Numerical Analysis
Optics
Abstract
We develop a finite volume method for Maxwell's equations in materials whose electromagnetic properties vary in space and time. We investigate both conservative and non-conservative numerical formulations. High-order methods accurately resolve fine structures that develop due to the varying material properties. Numerical examples demonstrate the effectiveness of the proposed method in handling temporal variation and its efficiency relative to traditional 2nd-order FDTD.
Keywords
Cite
@article{arxiv.2307.11842,
title = {A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media},
author = {Damian P. San Roman Alerigi and David I. Ketcheson and Boon S. Ooi},
journal= {arXiv preprint arXiv:2307.11842},
year = {2023}
}
Comments
15 pages, 8 figures