Unconditionally stable algorithms to solve the time-dependent Maxwell equations.

Kole JS, Figge MT, De Raedt H (2001) Unconditionally stable algorithms to solve the time-dependent Maxwell equations. Phys Rev E Stat Nonlin Soft Matter Phys 64(6 Pt 2), 066705. PubMed

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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doi: 10.1103/PhysRevE.64.066705 PMID: 11736311