Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations

Preprint

12 July 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.physics/0107023

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

MODELS AND BY SIMULATING
UNCONDITIONALLY STABLE
DENSITY OF STATES
DEPENDENT MAXWELL
STABLE ALGORITHMS
PHOTONIC BAND GAP
PERMEABILITY
MAXWELL

All Related Versions

Version 1, 2001-07-12, ArXiv
Published version: Physical Review E, 64 (6), 066705.

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