Numerical dispersion and stability condition of the nonstandard FDTD method

被引：6

作者：

Kudo, H ^{[1
]}

Kashiwa, T

Ohtani, T

机构：

[1] Kitami Inst Technol, Kitami, Hokkaido 0908507, Japan

[2] Mitsubishi Heavy Ind Co Ltd, Nagoya, Aichi 4558515, Japan

来源：

ELECTRONICS AND COMMUNICATIONS IN JAPAN PART II-ELECTRONICS | 2002年 / 85卷 / 01期

关键词：

NS-FDTD method; FDTD method; numerical dispersion; stability condition; rectangular lattice;

D O I：

10.1002/ecjb.1083

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：

In order to reduce the phase error in the FDTD analysis, Cole proposed the NS-FDTD method. However, in the paper by Cole, numerical dispersion characteristics and accurate stability condition were not presented. Also, definition was given only for cubic lattices. In this paper, the NS-FDTD method is extended to the rectangular lattices and the numerical dispersion characteristic and the stability condition are derived. From the analysis for the stability condition, it is found that the stability condition in the present method is larger than those for the FDTD method and the FDTD(2, 4) method. From the analysis of the dispersion characteristic, it is shown that the present method has much higher accuracy than the FDTD method whether the lattices are cubic or rectangular. An analysis of a waveguide model is carried out in which the NS-FDTD method and the FDTD method are mixed. (C) 2001 Scripta Technica.

引用

页码：22 / 30

页数：9

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