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Forcing term discretization techniques in the external field‐to‐MTL coupling problems
Author(s) -
Lapohos Tibor,
LoVetri Joe
Publication year - 2001
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 - 10.1002/1099-1204(200101/02)14:1<31::aid-jnm394>3.0.co;2-q
Subject(s) - discretization , coupling (piping) , computation , forcing (mathematics) , transformation (genetics) , time domain , plane (geometry) , frequency domain , mathematics , computer science , mathematical analysis , algorithm , engineering , geometry , mechanical engineering , biochemistry , chemistry , computer vision , gene
In this paper, two, under certain conditions, equivalent models of electromagnetic plane wave coupling to multiconductor transmission lines (MTLs) are described. The ‘frequency‐to‐time domain’ (FTD) model incorporates the effect of the impinging electromagnetic waves by means of distributed voltage and current sources whose expressions are found through mathematical approximations made in the frequency domain followed by a transformation to the time domain. The approximations were made in order to gain an advantage in computation time in the discrete FTD (DFTD) model. In contrast to this approach, the same distributed sources of the ‘approximate analytic’ (AA) model are derived by directly evaluating the corresponding integral formulas. It is shown that, although the same second‐order‐accurate discretization technique has been employed to create both the DFTD and the discrete AA (DAA) models, the simulation results are not the same. In the case of the DFTD model, significant numerical error can be seen in the simulation results, whereas the DAA model does not show such a behaviour. It is shown that time averaging of the forcing terms in the DFTD model helps to reduce the numerical errors significantly at no extra computational cost. Copyright © 2001 Crown in the right of Canada. Published by John Wiley & Sons, Ltd.