Analysis of the numerical dispersion of the 2-D ADI-FDTD method with higher order scheme

Author

Sun, M.K. ; Tam, W.Y.

Author_Institution

Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Kowloon, China

Volume

4

fYear

2003

fDate

22-27 June 2003

Firstpage

348

Abstract

The alternating direction implicit (ADI) FDTD method is an unconditionally stable method. The maximum time-step size is not limited by the Courant-Friedrich-Levy (CFL) condition. However, the numerical error such as numerical dispersion increases, when the ADI method is applied. It was proven that higher order scheme could reduce the numerical dispersion error in the conventional FDTD method. In this paper, we investigate the numerical dispersion property of the ADI-FDTD method with higher order scheme. It is found that the numerical dispersion error of the ADI-FDTD method with higher order scheme is smaller than the original ADI-FDTD method.

Keywords

computational electromagnetics; error analysis; finite difference time-domain analysis; numerical stability; alternating direction implicit FDTD method; finite-difference approximation; higher order scheme; numerical dispersion; numerical error; unconditionally stable method; Dispersion; Equations; Finite difference methods; Frequency; Spatial resolution; Stability; Sun; Tellurium; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2003. IEEE

Conference_Location

Columbus, OH, USA

Print_ISBN

0-7803-7846-6

Type

conf

DOI

10.1109/APS.2003.1220191

Filename

1220191