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Simulation of general linear dielectric properties in TLM
Author(s) -
Paul John,
Christopoulos Christos,
Thomas David W.P.
Publication year - 2002
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.475
Subject(s) - dielectric , isotropy , debye , frequency domain , computer science , generality , lorentz transformation , basis (linear algebra) , time domain , scattering , process (computing) , series (stratigraphy) , algorithm , mathematics , mathematical analysis , physics , optics , classical mechanics , quantum mechanics , geometry , psychology , paleontology , computer vision , psychotherapist , biology , operating system
The simulation of linear dispersive dielectric materials in time‐domain TLM requires the inclusion of frequency‐dependent material properties in the scattering process. For media having frequency dependencies described by a single pole or a pair of complex poles, for example Debye, Drude or Lorentz, it is straightforward to develop individual algorithms on a case‐by‐case basis. However, this approach lacks generality and when applied to the modelling of media displaying more complicated frequency dependencies, somewhat lengthy calculations need to be evaluated each time a new material is required. To address this difficulty, this paper describes methods for obtaining the iteration algorithm for general linear isotropic dielectric media. The results obtained using different ‐transform methods are compared and an example of a frequency‐dependent structure is simulated. Copyright © 2002 John Wiley & Sons, Ltd.