Dispersion and asymmetry effects of ADI-FDTD

Author

Darms, Michael ; Schuhmann, Rolf ; Spachmann, Holger ; Weiland, Thomas

Author_Institution

Computational Electromagn. Lab. (TEMF), Tech. Univ. Darmstadt, Germany

Volume

12

Issue

12

fYear

2002

Firstpage

491

Lastpage

493

Abstract

In this paper, a generalized derivation of the alternating direction implicit finite-difference time-domain algorithm based on operator splitting is proposed. The formulation follows the notation of the finite integration technique. A straightforward proof of stability is given and the numerical dispersion formula is presented and verified by numerical experiments. As an additional parasitic effect, the asymmetric behavior of the algorithm even for exactly symmetric setups is revealed. Both the dispersion error and the asymmetry error are discussed in terms of the applicability of ADI for low-frequency problems.

Keywords

cavity resonators; dispersion (wave); finite difference time-domain analysis; integration; ADI-FDTD; alternating direction implicit algorithm; asymmetric behavior; asymmetry effects; dispersion effects; dispersion error; electromagnetic problems; exactly symmetric setups; finite integration technique; low-frequency problems; numerical dispersion formula; operator splitting; parasitic effect; proof of stability; rectangular cavity; resonance frequencies; Algorithm design and analysis; Difference equations; Dispersion; Finite difference methods; Grid computing; Magnetic materials; Maxwell equations; Stability; Time domain analysis; Voltage;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2002.805951

Filename

1146696