Unconditionally stable algorithms to solve the time-dependent Maxwell equations

作     者：J. S. Kole M. T. Figge H. De Raedt 

作者机构：[]Centre for Theoretical Physics and Materials Science Centre University of Groningen Nijenborgh 4 NL-9747 AG Groningen The Netherlands 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2001年第64卷第6期

页      面：066705-066705页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：.Maxwell equations eigenmodes photonic band-gap stable algorithms EM fields varying permittivity 

摘      要：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.