Title :
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
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;
Conference_Titel :
Southeastcon '90. Proceedings., IEEE
Conference_Location :
New Orleans, LA
DOI :
10.1109/SECON.1990.117767
