A total-variation-diminishing finite-difference scheme for the transient response of a lossless transmission line

Author

Hwang, Kyu-Pyung ; Jin, Jian-Ming

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

46

Issue

8

fYear

1998

fDate

8/1/1998 12:00:00 AM

Firstpage

1193

Lastpage

1196

Abstract

Total-variation-diminishing (TVD) finite-difference schemes have been used in computational fluid dynamics for accurate solutions of fluid problems involving shock phenomena. This paper investigates the possibility of their application in transient electromagnetic-wave problems. A lossless transmission line with a resistive load is considered to illustrate the application. A TVD Lax-Wendroff finite-difference scheme is presented for the numerical solution of transmission-line equations in time domain. Numerical results show that the TVD scheme can approximate the discontinuous waveforms with remarkable accuracy

Keywords

finite difference methods; transient response; transmission line theory; TVD algorithm; electromagnetic wave propagation; lossless transmission line; numerical method; resistive load; total-variation-diminishing Lax-Wendroff finite-difference method; transient response; Capacitance; Computational electromagnetics; Eigenvalues and eigenfunctions; Finite difference methods; Inductance; Partial differential equations; Propagation losses; TV; 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

10.1109/22.704968

Filename

704968