利用时域间断伽辽金算法求解Tellegen介质中的电磁波

Solution to Electromagnetic Waves in Tellegen Media with Time-Domain Discontinuous Galerkin Method

目前,利用时域间断伽辽金方法(DGTD)求解各类介质中的电磁传播问题时,通常考虑求解普通介质本构关系的麦克斯韦方程组。然而,具有非互易性本构关系的Tellegen介质中的电磁传播非常复杂,且少有研究。基于Tellegen介质的本构关系,推导出了一种适用于该介质的时域间断伽辽金系统矩阵离散方案,准确模拟了平面波在Tellegen介质中的时域传播特性。利用所提出的算法,计算了空气与Tellegen介质的分层空间模型,分析了Tellegen介质对电磁波极化偏转角度的影响;同时,针对不同电磁参数的Tel-legen介质,计算了反射波与透射波的电场偏转角度,并将时域间断伽辽金方案计算的结果与文献[1]以及解析解进行了对比,验证了该方法的有效性与可行性。

At present, when the time-domain discontinuous Galerkin (DGTD) method is utilizedfor solving the electromagnetic propagation problem in various media, Maxwell's equations of constitutive relation of ordinary media are usually considered. Aimed at the problems thatelectromagnet in Tellegen media with non-reciprocity constitutive relation is very complex in propagation, and few researchers care to ask about something,a matrix discrete scheme of DGTD system is derived for Tellegen medium, and the time-domain propagation characteristics of plane waves in Tellegen medium are accurately simulated based on the constitutive relation of Tellegen medium.The proposed algorithm is utilized for calculating the layered space model of air and Tellegenmedium, andanalyzing the influence of Tellegen medium on electromagnetic polarization deflection angles. Simultaneously, in view ofTellegen media with different electromagnetic parameters, the electric field deflection angles of reflected and transmitted waves are calculated, and the results calculated by the DGTD scheme are compared with the literature [1]and the analytical solutions. And the effectiveness and feasibility of the proposed method are verified.