Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations
Computational Physics
2009-11-07 v1 Optics
Abstract
Based on the Suzuki product-formula approach, we construct a family of unconditionally stable algorithms to solve the time-dependent Maxwell equations. We describe a practical implementation of these algorithms for one-, two-, and three-dimensional systems with spatially varying permittivity and permeability. The salient features of the algorithms are illustrated by computing selected eigenmodes and the full density of states of one-, two-, and three-dimensional models and by simulating the propagation of light in slabs of photonic band-gap materials.
Keywords
Cite
@article{arxiv.physics/0107023,
title = {Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations},
author = {J. S. Kole and M. T. Figge and H. De Raedt},
journal= {arXiv preprint arXiv:physics/0107023},
year = {2009}
}
Comments
18 pages, 13 figures