A unified ADE-FDTD-CPML scheme is proposed for one-stop simulation of electromagnetic (EM) wave propagation in different electrically dispersive media with isotropic,linear and nonmagnetic properties.This unification is manifested from two aspects.One aspect is unified FDTD treatment of problem space and its absorbing boundaries,the other is unified implementation of frequency-dependent properties for several types of media such as single Havriliak-Negami (H-N),Davidson-Cole (D-C),Cole-Cole (C-C),Debye dispersive media,ordinary media or their arbitrary combination,which are lossless or lossy with single pole or multiple relaxation times.The main difficulty in the presented scheme is appearance of fractional derivatives.This difficulty is overcomed by using the Padé approximant method,resulting in a set of auxiliary differential equations (ADEs) of integer order.The feasibility,validity,good generality and low complexity of the scheme is preliminarily demonstrated by the comparisons between analytic and calculated results from several one-dimensional (1-D) and three-dimensional (3-D) examples.
刘广东. 基于帕德近似法模拟一般色散媒质电波传播的ADE-FDTD-CPML统一实现方案[J]. 电子学报, 2015, 43(7): 1382-1387.
LIU Guang-dong. Unified Implementation of ADE-FDTD-CPML Scheme Based on Padé Approximant Method for Simulation of EM Wave Propagation in General Dispersive Media. Chinese Journal of Electronics, 2015, 43(7): 1382-1387.
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2015, Vol. 43 
