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

被引：208

作者：

Zheng, FH ^{[1
]}

Chen, ZZ ^{[1
]}

机构：

[1] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3J 2X4, Canada

来源：

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES | 2001年 / 49卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

CFL stability conditions; numerical dispersion; unconditionally stable FDTD;

D O I：

10.1109/22.920165

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：1006 / 1009

页数：4

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[3]

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[4]

Ozisik MN., 1994, FINITE DIFFERENCE ME

[5]

YEE KS, 1966, IEEE T ANTENN PROPAG, VAP14, P302

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IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2000, 48 (09) :1550-1558

[7] A finite-difference time-domain method without the Courant stability conditions [J].

Zheng, FH ;

Chen, ZZ ;

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IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1999, 9 (11) :441-443

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