A class of symmetrical condensed node TLM methods derived directly from Maxwell´s equations

Author

LoVetri, Joe ; Simons, Neil R S

Author_Institution

Dept. of Electr. Eng., Univ. of Western Ontario, London, Ont., Canada

Volume

41

Issue

8

fYear

1993

fDate

8/1/1993 12:00:00 AM

Firstpage

1419

Lastpage

1428

Abstract

A series of general transmission line matrix (TLM)-type methods, which include the symmetrical condensed node method, are derived directly from Maxwell´s curl equations without recourse to transmission line models. Written as a system of conservation laws, Maxwell´s equations in 3-D plus time are decomposed along the orthogonal characteristic directions of a rectangular grid. The Riemann invariants in this method correspond to the voltage pulses of the TLM method. A new method of handling inhomogeneous media is proposed based on a new transfer event. The dispersive nature of these schemes is also investigated

Keywords

Maxwell equations; dispersion (wave); finite difference methods; matrix algebra; transmission line theory; Gaussian plane wave pulses; Maxwell equations; Riemann invariants; conservation laws; curl equations; dispersive nature; equivalent finite difference schemes; inhomogeneous media; orthogonal characteristic directions; rectangular grid; symmetrical condensed node TLM methods; transfer event; transmission line matrix; Differential equations; Dispersion; Electromagnetic fields; Helium; Matrix decomposition; Maxwell equations; Nonhomogeneous media; Symmetric matrices; Transmission line matrix methods; Voltage;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.241684

Filename

241684