Title :
Stability analysis of the CE-FDTD method
Author :
Ma, Changning ; Chen, Zhizhang
Author_Institution :
Dept. of Electr. & Computer Engineering, Dalhousie Univ., Halifax, NS, Canada
fDate :
5/1/2004 12:00:00 AM
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;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2004.827099
