Stability criterion for finite-difference time-domain algorithm [EM theory]

Author

Sadiku, M.O. ; Agbo, S. ; Bemmel, V.

Author_Institution

Dept. of Electr. Eng., Temple Univ., Philadelphia, PA, USA

fYear

1990

fDate

1-4 Apr 1990

Firstpage

48

Abstract

The stability criterion for the finite-difference time-domain algorithm is derived using the Neumman technique. This derivation is considered to be more rigorous and should be more mathematically acceptable compared with the derivation by A. Taflove and M.E. Brodwin (see IEEE Trans. Micro. Theo. and Tech., vol.MTT-23, no.8, p.623-30, 1975). A subtle error in a derivation by A. Taflove (see IEEE Trans. Electro. Comp., vol.EMC-22, no.3, p.191-202, 1980) is pointed out. The stability criterion presented agrees with that of Taflove and Brodwin for n=1. They required that r⩽0.707 and r⩽0.5777 for n=2 and n=3, respectively, while it is required here that r⩽0.5 for both n=2 and n=3

Keywords

difference equations; electrical engineering computing; electromagnetic fields; stability criteria; FD-TD; Neumman technique; electromagnetic wave scattering; finite-difference time-domain algorithm; mathematically acceptable; stability criterion; Computer errors; Electromagnetic fields; Electromagnetic scattering; Finite difference methods; Finite element methods; Light scattering; Maxwell equations; Nonhomogeneous media; Stability criteria; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon '90. Proceedings., IEEE

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/SECON.1990.117767

Filename

117767