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Absorbing boundary conditions for the FD‐TLM method : the perfectly matched layer and the one‐way equation technique
Author(s) -
Attia M.,
Ney M.,
Aguili T.
Publication year - 2013
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.1891
Subject(s) - perfectly matched layer , transmission line , boundary (topology) , frequency domain , boundary value problem , return loss , matrix (chemical analysis) , transmission (telecommunications) , mathematical analysis , domain (mathematical analysis) , operator (biology) , time domain , line (geometry) , mathematics , computer science , telecommunications , geometry , materials science , biochemistry , chemistry , repressor , transcription factor , antenna (radio) , composite material , computer vision , gene
SUMMARY This paper investigates the absorbing boundary conditions for the frequency domain transmission line matrix method. Two approaches are presented, namely the perfectly matched layer (PML) technique and the one‐way wave equation. Concerning the PML technique, two‐dimensional and three‐dimensional transmission line matrix (TLM) nodes, already used in time domain, are exploited in frequency domain where a rigorous formulation of these PML–TLM nodes is presented. In addition, two types of one‐way wave operators are also transposed from time to frequency domain TLM approach: Taylor expansion and Higdon's boundary conditions. The simulation of a wideband matched load WR‐28 rectangular waveguide is presented for validation. Excellent results are obtained with a very thin PML layer. Results concerning one‐way operator techniques also show very good return loss performances. For instance, Higdon's boundary condition was extended beyond third‐order approximation, and a return loss better than 160 dB was obtained. Copyright © 2013 John Wiley & Sons, Ltd.