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Accuracy of the frequency‐domain TLM method and its application to microwave circuits
Author(s) -
Hesselbarth J.,
Vahldieck R.
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.459
Subject(s) - discretization , gravitational singularity , frequency domain , convergence (economics) , domain (mathematical analysis) , microwave , field (mathematics) , computer science , dispersion (optics) , mathematics , algorithm , mathematical analysis , physics , telecommunications , optics , pure mathematics , economics , economic growth
This paper investigates the accuracy and convergence of frequency‐domain (FD) TLM solutions and describes a method to identify non‐physical solutions. The numerical dispersion characteristics of various discretization schemes (‘nodes’) are compared. The occurrence of non‐physical solutions when solving three‐dimensional problems is discussed and a method to identify the non‐physical solutions is described. The accuracy of the FDTLM method is shown to be of second order as long as singularities are absent, whereas it is between first and second order if the computational domain includes field singularities. Copyright © 2002 John Wiley & Sons, Ltd.