Semi-analytical recursive convolution finite-element time-domain method for electromagnetic analysis of dispersive media

被引：2

作者：

Li, Linqian ^{[1
,2
]}

Wei, Bing ^{[1
,2
]}

Yang, Qian ^{[1
,2
]}

Ge, Debiao ^{[1
,2
]}

机构：

[1] Xidian Univ, Sch Phys & Optoelect Engn, Xian 710071, Peoples R China

[2] Xidian Univ, Collaborat Innovat Ctr Informat Sensing & Underst, Xian 710071, Peoples R China

来源：

OPTIK | 2020年 / 206卷

关键词：

Semi-analytical recursive-convolution; Finite-element time-domain; Dispersive media; ALGORITHMS; SIMULATION; FETD;

D O I：

10.1016/j.ijleo.2019.163754

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Based on the idea of semi-analytical convolution in digital signal processing (DSP), a new technique of finite-element time-domain (FETD) for dealing with dispersive media is presented. By comparison with semi-analytical convolution in DSP, a unified recursive formulation of semi-analytical convolution for three kinds of dispersive media models i.e. Drude model, Debye model and Lorentz model is described. This formulation includes electric field E and complex polarization vector psi. On the other hand, the weak form solution of the FETD equation on account of the idea of DSP and the iteration equation including E and psi are obtained. Then the achievement of semi-analytical recursive convolution finite-element time-domain (SARC-FETD) method is developed by combining the above two equations. Finally, the feasibility of this algorithm is validated with three-dimension numerical examples.

引用

页数：7

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