The 1D ADI-FDTD Method in Lossy Media

Author

Pereda, José A. ; Grande, Ana ; González, Oscar ; Vegas, Ángel

Author_Institution

Dept. de Ing. de Comun., Univ. de Cantabria, Santander

Volume

7

fYear

2008

fDate

6/30/1905 12:00:00 AM

Firstpage

477

Lastpage

480

Abstract

A stability and numerical dispersion analysis for the one-dimensional alternating-direction implicit finite-difference time-domain method in lossy media is presented. To conduct a general study, the conduction term is approximated by a weighted average in time. The stability analysis is based on the von Neumann method and the numerical dispersion relation is derived in a closed-form. The analytical results are validated by numerical simulations, showing that errors for both the attenuation and phase constants can be very high if the weighted-average coefficients are not properly selected.

Keywords

absorbing media; approximation theory; electromagnetic wave absorption; electromagnetic wave scattering; finite difference time-domain analysis; numerical stability; 1D alternating-direction implicit finite-difference time-domain method; approximation theory; attenuation; lossy media; numerical dispersion analysis; numerical stability; phase constant; von Neumann method; Alternating-direction implicit finite-difference time-domain (ADI-FDTD) method; lossy media; numerical dispersion; stability;

fLanguage

English

Journal_Title

Antennas and Wireless Propagation Letters, IEEE

Publisher

ieee

ISSN

1536-1225

Type

jour

DOI

10.1109/LAWP.2008.2000482

Filename

4519950