Unconditionally Stable One-Step Leapfrog ADI-FDTD for Dispersive Media

被引：16

作者：

Wang, Xiang-Hua ^{[1
,2
]}

Gao, Jian-Yun ^{[3
]}

Chen, Zhizhang ^{[4
]}

Teixeira, Fernando L. ^{[2
]}

机构：

[1] Tianjin Univ Technol & Educ, Sch Sci, Tianjin 300222, Peoples R China

[2] Ohio State Univ, Dept Elect & Comp Engn, ElectroSci Lab, Columbus, OH 43212 USA

[3] Tianjin Vocat Inst, Dept Basic Courses, Tianjin 300410, Peoples R China

[4] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3H 4R2, Canada

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2019年 / 67卷 / 04期

基金：

美国国家科学基金会;

关键词：

Alternating-direction-implicit finite-difference time domain (ADI-FDTD); auxiliary differential equation (ADE); graphene; stability; surface plasmon polaritons (SPPs); STABILITY;

D O I：

10.1109/TAP.2019.2896651

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：

A novel unconditionally stable one-step leapfrog alternatingdirection- implicit finite-difference time domain is developed for modeling dispersive media. In contrast to previous approaches, the proposed method uses a vector fitting technique to incorporate various types of dispersive media through electric polarization terms governed by an auxiliary differential equation (ADE). Moreover, a semi-implicit finite-difference scheme is applied to the ADE to maintain the unconditional stability of the method. The stability is verified analytically by von Neumann analysis with the Jury criterion. Numerical experiments are carried out to illustrate the stability and accuracy. The proposed method is used to investigate surface plasmon polaritons (SPPs) on graphene sheets biased by an electrostatic field.

引用

页码：2829 / 2834

页数：6

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