A finite-difference time-domain method without the Courant stability conditions

Author

Zheng, Fenghua ; Chen, Zhizhang ; Zhang, Jiazong

Author_Institution

Dept. of Electr. & Comput. Eng., Dalhousie Univ., Halifax, NS, Canada

Volume

9

Issue

11

fYear

1999

fDate

11/1/1999 12:00:00 AM

Firstpage

441

Lastpage

443

Abstract

In this paper, a finite-difference time-domain method that is free of the constraint of the Courant stability condition is presented for solving electromagnetic problems. In it, the alternating direction implicit (ADI) technique is applied in formulating the finite-difference time-domain (FDTD) algorithm. Although the resulting formulations are computationally more complicated than the conventional FDTD, the proposed FDTD is very appealing since the time step used in the simulation is no longer restricted by stability but by accuracy. As a result, computation speed can be improved. It is found that the number of iterations with the proposed FDTD can be at least three times less than that with the conventional FDTD with the same numerical accuracy

Keywords

electromagnetic wave propagation; finite difference time-domain analysis; iterative methods; numerical stability; alternating direction implicit technique; computation speed; electromagnetic problems; finite-difference time-domain method; iterations; numerical accuracy; time step; Computational modeling; Discrete wavelet transforms; Fast Fourier transforms; Finite difference methods; Helium; Large-scale systems; Maxwell equations; Spatial resolution; Stability; Time domain analysis;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.808026

Filename

808026