Stability analysis of the CE-FDTD method

Author

Ma, Changning ; Chen, Zhizhang

Author_Institution

Dept. of Electr. & Computer Engineering, Dalhousie Univ., Halifax, NS, Canada

Volume

14

Issue

5

fYear

2004

fDate

5/1/2004 12:00:00 AM

Firstpage

243

Lastpage

245

Abstract

The stability condition is derived for the Complex-Envelope Finite-Difference Time-Domain (FDTD) method. It is shown that the maximum time step allowed for numerical stability is strongly dependent on the carrier frequency and cell sizes. In particular, if the carrier frequency is lower than a threshold value or cell sizes are adequately small, the time step is bounded by an upper limit similar to that with the conventional FDTD. However, if the carrier frequency is higher than the threshold value or the cell sizes are adequately large, the time step is no long a factor affecting the numerical stability. It can be chosen arbitrarily without causing numerical instability. Numerical experiments validate the derived condition.

Keywords

cavity resonators; finite difference time-domain analysis; numerical stability; CE-FDTD method; complex-envelope finite-difference time-domain method; numerical dispersion; numerical stability; stability analysis; stability condition; Bandwidth; Finite difference methods; Maxwell equations; Numerical stability; Optical modulation; RF signals; Radio frequency; Stability analysis; Stimulated emission; Time domain analysis; CE-FDTD; Complex-Envelope Finite-Difference Time-Domain; numerical dispersion; stability;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2004.827099

Filename

1296674