Numerical dispersion and stability analysis of the FDTD technique in lossy dielectrics

Author

Pereda, José A. ; García, Oscar ; Vegas, Angel ; Prieto, Andrés

Author_Institution

Dept. Ingenieria de Comunicaciones, Cantabria Univ., Santander, Spain

Volume

8

Issue

7

fYear

1998

fDate

7/1/1998 12:00:00 AM

Firstpage

245

Lastpage

247

Abstract

Two different extensions of the finite-difference time-domain (FDTD) method for the treatment of lossy dielectrics are considered: the time-average (TA) and the time-forward (TF) difference schemes. An analytical study of the stability properties and numerical dispersion of these schemes is presented. The stability analysis is based on the Von Neumann (Fourier series) method, while the numerical dispersion properties are established in terms of the numerical permittivity of discrete lossy dielectrics. The analytical stability limits are compared with those obtained numerically in previous works. The accuracy of the two schemes is compared by computing the reflection coefficient of a lossy dielectric slab

Keywords

Fourier series; finite difference time-domain analysis; numerical stability; permittivity; FDTD technique; Fourier series; Von Neumann method; dielectric slab; finite-difference time-domain method; lossy dielectrics; numerical dispersion analysis; numerical permittivity; numerical stability analysis; reflection coefficient; time-average difference scheme; time-forward difference scheme; Dielectric losses; Difference equations; Finite difference methods; Maxwell equations; Numerical stability; Permittivity; Reflection; Slabs; Stability analysis; Time domain analysis;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.701379

Filename

701379