Piecewise linear recursive convolution finite element time domain method for electromagnetic analysis of dispersive media
Piecewise linear recursive convolution finite element time domain method for electromagnetic analysis of dispersive media
复制标题
色散介质电磁分析的分段线性递归卷积有限元时域法
DOI：
10.1016/j.ijleo.2019.163196
复制
发表时间：
2019-12-01
期刊：
影响因子：
3.1
通讯作者：
Ge, Debiao
中科院分区：
文献类型：
--
作者：
Li, Linqian;Wei, Bing;Ge, Debiao
时域色散介质位移矢量与电场之间的本构关系是复杂的卷积关系，很难直接计算。本文基于有限元时域、全场和散射场组合分解技术，描述了色散介质的电场E和卷积函数psi的弱形式解方程，然后引入了包含色散介质的全场区域中的平面波。推导了处理色散介质本构关系的分段线性递归卷积时域有限元迭代公式。实现了Drude模型、Debye模型和Lorentz模型三种通用色散介质模型的分段线性递归卷积远散射场计算。
The constitutive relation of dispersive media between displacement vector and electric field in time domain is complicated convolution which is hardly to calculate directly. In this paper, based on finite-element time-domain, combined total-field and scattered-field decomposition technique, the weak form solution equations including electric field E and convolution function psi for dispersive media are described, and then the plane wave in total-field region containing dispersive media is introduced. The iterative formulas of piecewise linear recursive convolution finite element time domain dealing with constitutive relation for dispersive media are derived. The far scattering field calculation of piecewise-linear recursive convolution for three kinds of general dispersive media models, i.e. Drude model, Debye model and Lorentz model is implemented.