Development of a general symmetrical condensed node for the TLM method

Author

Trenkic, Vladica ; Christopoulos, Christos ; Benson, Trevor M.

Author_Institution

Dept. of Electr. & Electron. Eng., Nottingham Univ., UK

Volume

44

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

2129

Lastpage

2135

Abstract

A general symmetrical condensed node (GSCN) for the transmission line modeling (TLM) method, with six different link line characteristic impedances, six stubs, and six lossy elements is described for the first time. It unifies all the currently available condensed nodes into a single formulation and provides the basis for the derivation of an infinite set of new nodes, including nodes with improved numerical characteristics. The GSCN is derived in two ways: (1) from an equivalent network model and (2) directly from Maxwell´s equations using central differencing and averaging. The direct correspondence established between the GSCN TLM and a finite difference scheme for Maxwell´s equations provides a rigorous theoretical foundation for all available TLM methods with condensed nodes

Keywords

Maxwell equations; S-matrix theory; equivalent circuits; transmission line matrix methods; Maxwell equations; TLM method; equivalent network model; finite difference scheme; general symmetrical condensed node; link line characteristic impedances; lossy elements; stubs; transmission line modeling method; Capacitance; Difference equations; Finite difference methods; Impedance; Inductance; Magnetic losses; Maxwell equations; Propagation losses; Scattering; Transmission line theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.556439

Filename

556439