title: Unconditionally stable algorithms to solve the time-dependent Maxwell equations.
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.
authors.affiliation: Centre for Theoretical Physics and Materials Science Centre, University of Groningen, Nijenborgh 4, NL-9747 AG Groningen, The Netherlands. j.s.kole@phys.rug.nl
authors.forename: J S
authors.initials: JS
authors.lastname: Kole
authors.forename: M T
authors.initials: MT
authors.lastname: Figge
authors.forename: H
authors.initials: H
authors.lastname: De Raedt