Stability condition of the dispersive HIE-FDTD method for the simulation of graphene

被引：6
|
作者：
Xu, Ning [1 ]
Chen, Juan [1 ,2 ]
Wang, Jianguo [1 ,3 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 710049, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Shenzhen Res Sch, Shenzhen 518057, Peoples R China
[3] Northwest Inst Nucl Technol, Xian 710024, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS | 2019年 / 32卷 / 03期
关键词：
dispersive HIE-FDTD method; Routh-Hurwitz criterion; stability; time increment; TIME-DOMAIN METHOD; SCHEME;
D O I：
10.1002/jnm.2536
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 derives exactly the stability condition of the dispersive hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method used for the simulations of the graphene-based devices. Combining with the Routh-Hurwitz criterion, an analytical closed-form stability expression is obtained. The result shows that the maximum time increment of the dispersive HIE-FDTD method is only associated with two spatial discretizations instead of the smallest one inside the graphene layer. Numerical example validates this stability condition.
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页数：10
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