Open AccessPadé-finite-difference time-domain analysis of electromagnetic scattering in magnetic anisotropic medium
Author(s) -
Lixia Yang,
Debiao Ge
Publication year - 2006
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.55.1751
Subject(s) - mathematical analysis , physics , time domain , tensor (intrinsic definition) , operator (biology) , computation , mathematics , computer science , algorithm , geometry , biochemistry , chemistry , repressor , transcription factor , computer vision , gene
Based on the matrix Padé approximation theory, the complex relative permeability tensor of magnetized dispersive media is described by a matrix function expansion with respect to jω in frequency domain. By substituting the operator of /t into jω, the expansion is then transferred into the time-domain. In order to derive the formulation of the matrix expansion of complex relative permeability tensor in discretised time domain, a shifted operator in discretised time domain is introduced as a replacement of time differential operator /t. Therefore the dispersion relation between B and H in discretised time domain can be obtained, which is then implemented to the gyrotropic medium, yielding the time iterative formulation for finite-difference time-domain computation. To verify the feasibility of the presented scheme, we apply the above-mentioned method to the electromagnetic scattering by a magnetized ferrite sphere. The computed result is in good agreement with the one obtained by recursive convolution technique. The analysis and example show the feasibility of the proposed scheme.