A Convolution-Free Finite-Element Time-Domain Method for the Nonlinear Dispersive Vector Wave Equation

被引：4

作者：

Abraham, David S. ^{[1
]}

Giannacopoulos, Dennis D. ^{[1
]}

机构：

[1] McGill Univ, Dept Elect & Comp Engn, Montreal, PQ H3A 0E9, Canada

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2019年 / 55卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Dispersive media; finite-element methods; nonlinear media; time-domain analysis;

D O I：

10.1109/TMAG.2019.2935681

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 this article, a finite-element time-domain method is presented for the solution of the second-order vector wave equation (VWE) subject to electrically complex materials, including general combinations of linear dispersion, instantaneous nonlinearity, and dispersive nonlinearity. The presented method is novel in that it offers greater geometric flexibility than existing finite-difference methods, incorporates both instantaneous and dispersive nonlinearity, scales to arbitrary dispersive and nonlinear orders, and is simpler, faster, and requires less computational complexity than existing mixed formulations due to the use of edge elements only.

引用

页数：4

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