An unconditionally stable high-order 2-D ADI-FDTD method

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

352

Abstract

The alternating-direction implicit (ADI) FDTD method is free of the Courant-Friedrich-Levy (CFL) stability condition, however the numerical dispersion error increases after the ADI method is applied. In this paper, a high-order ADI-FDTD method, which using higher order accurate approximation at the spatial derivative, is formulated. The new scheme reduces the numerical dispersion error and is still unconditionally stable. Besides, the sixth-order 2-D ADI-FDTD method is used to study the effect of different time-step sizes on stability and numerical dispersion.

Keywords

computational electromagnetics; error analysis; finite difference time-domain analysis; numerical stability; alternating-direction implicit FDTD method; electromagnetic problems; high-order method; numerical dispersion; numerical error; numerical stability; parallel-plate waveguide model; sixth-order method; unconditionally stable method; Computational modeling; Differential equations; Dispersion; Electromagnetic waveguides; Finite difference methods; Numerical stability; Sun; Tellurium; Time domain analysis; Transmission line matrix methods;

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.2003.1220192

Filename

1220192