Title :
Study on the stability of the higher-order FDTD (2, 4) including lumped inductors
Author :
Yang, X.-X. ; Cai, P. ; Zhang, W.-J. ; Ma, Z.-W.
Author_Institution :
Sch. of Commun. & Inf. Eng., Shanghai Univ., China
Abstract :
The paper presents a study of the numerical stability of the higher-order finite-difference time domain FDTD (2, 4) technique for calculating the lumped-inductor-loaded region. Six different cases including explicit, implicit and semi-implicit schemes based on the differential and integral equations including the lumped inductor´s current-voltage characteristics are analysed in detail. Five stability condition formulas and an unconditional instability conclusion are obtained using the Routh-Hurwitz criterion. The theoretical results are validated by the numerical results gained by means of actual FDTD (2, 4) simulations.
Keywords :
Routh methods; differential equations; finite difference time-domain analysis; inductors; integral equations; numerical stability; Routh-Hurwitz criterion; current-voltage characteristics; differential equation; explicit scheme; finite difference time-domain; higher-order FDTD; implicit scheme; integral equation; lumped inductor loaded region; numerical stability; semiimplicit scheme; unconditional instability;
Journal_Title :
Microwaves, Antennas and Propagation, IEE Proceedings
DOI :
10.1049/ip-map:20050037
