Numerical dispersion analysis of the unconditionally stable 3-D ADI-FDTD method

Author

Zheng, Fenghua ; Chen, Zhizhang

Author_Institution

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

Volume

49

Issue

5

fYear

2001

fDate

5/1/2001 12:00:00 AM

Firstpage

1006

Lastpage

1009

Abstract

This paper presents a comprehensive analysis of numerical dispersion of the recently developed unconditionally stable three-dimensional finite-difference time-domain (FDTD) method where the alternating-direction-implicit technique is applied. The dispersion relation is derived analytically and the effects of spatial and temporal steps on the numerical dispersion are investigated. It is found that the unconditionally stable FDTD scheme has advantages over the conventional FDTD of the Yee´s scheme in modeling structures of fine geometry where a graded mesh is required. The unconditionally stable FDTD allows the use of a large time step in a region of fine meshes while maintaining numerical dispersion errors smaller than those associated with the region of coarse meshes

Keywords

electromagnetic wave propagation; finite difference time-domain analysis; numerical stability; alternating-direction-implicit technique; fine geometry; graded mesh; numerical dispersion analysis; numerical dispersion errors; spatial steps; temporal steps; unconditionally stable 3D ADI-FDTD method; Dispersion; Electromagnetic propagation; Electromagnetic transients; Finite difference methods; Geometry; Maxwell equations; Numerical stability; Robustness; Solid modeling; Time domain analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.920165

Filename

920165