Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations

Details Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations

2001-07-12

arxiv.org/abs/physics/0107023v1

Physics

Computational Physics

18 pages, 13 figures

Scientific paper

10.1103/PhysRevE.64.066705

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.

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