Open AccessA general method for finite difference time domain modeling of wave propagation in frequency-dispersive media
Author(s) -
Bing Wei,
Debiao Ge,
Wang Fei
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.6290
Subject(s) - finite difference time domain method , debye , operator (biology) , mie scattering , lorentz transformation , physics , mathematical analysis , dispersion (optics) , hyperboloid model , scattering , mathematics , optics , light scattering , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , minkowski space , gene
The analysis of electromagnetic scattering and propagation in dispersive media is complicated in time domainbecause its dielectric property is frequency-dependent. A disadvantage of the prevailing algorithms is the need to deduce different formulations for each dispersion model. In this paperthe shift operator finite difference time domain (SO-FDTD) method is developed. Firstwe prove that the complex permittivity of three kinds of general dispersive media modelsi.e. Debye modelthe Lorentz model and the Drude model, may be described by rational polynomial functions in jω. By introducing a shift operator ztthe constitutive relation between D and E is derived in discretised time domain. The shift operator method is then applied to the general dispersive medium case. The recursive formulation for D and E available for FDTD computation is obtained. Finallythe scatterings by a dispersive sphere and a PEC object covered with dispersive media are computed. The computed results are in good agreement with the literature and the one obtained by Mies series solution. This illustrates the generality and the feasibility of the presented scheme.