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Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations

J. S. Kole·M. T. Figge·H. De Raedt
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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.

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J. S. Kole, M. T. Figge, H. De Raedt. 2001-07-12. Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations. https://doi.org/10.1103/physreve.64.066705

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