Unconditionally stable algorithms to solve the time-dependent Maxwell equations
- 27 November 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (6) , 066705
- https://doi.org/10.1103/physreve.64.066705
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
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