Absorbing-boundary conditions using perfectly matched-layer (PML) technique for three-dimensional TLM simulations

Author

Peña, Nestor ; Ney, Michel M.

Author_Institution

Lab. for Electron. & Commun. Syst., Ecole Nat. Superieure des Telecommun. de Bretagne, Brest, France

Volume

45

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

1749

Lastpage

1755

Abstract

This paper describes the algorithm that interfaces the three-dimensional (3-D) transmission-line matrix (TLM) with an absorbing-boundary condition (ABC) based on the perfectly matched-layer (PML) approach. The algorithm uses a coupling between the TLM symmetrical condensed node (SCN) network and a finite-difference approximation of the PML equations. Examples are presented in scattering problems and S-parameter characterization of discontinuities. Excellent results are found even with absorbing walls located in the region of evanescent waves. Absorption performances obtained are significantly superior to ABC´s based on the one-way equation approach and currently used for TLM simulations. Finally, it is found that for all tested situations, the algorithm is numerically stable

Keywords

S-parameters; electromagnetic wave absorption; electromagnetic wave scattering; finite difference time-domain analysis; numerical stability; transmission line matrix methods; 3D TLM simulations; 3D transmission-line matrix method; EM waves; FDTD; PML technique; S-parameter characterization; TLM SCN network; TLM symmetrical condensed node network; absorbing walls; absorbing-boundary conditions; absorption performance; discontinuities; evanescent waves; finite-difference approximation; numerically stable algorithm; perfectly matched-layer technique; scattering problems; three-dimensional TLM simulations; Absorption; Approximation algorithms; Couplings; Equations; Finite difference methods; Scattering parameters; Symmetric matrices; Testing; Transmission line matrix methods; Transmission lines;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.641722

Filename

641722