Ziaee Bideskan Mehri, Forooraghi Keyvan, Atlasbaf Zahra
Department of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, 14115-194, Iran.
Sci Rep. 2021 Apr 7;11(1):7588. doi: 10.1038/s41598-021-86882-z.
In this paper, efficient analysis of the plane wave scattering by periodic arrays of magnetically-biased graphene strips (PAMGS) is performed using the semi-numerical, semi-analytical method of lines (MoL). In MoL, all but one independent variable is discretized to reduce a system of partial differential equations to a system of ordinary differential equations. Since the solution in one coordinate direction is obtained analytically, this method is time effective with a fast convergence rate. In the case of a multi-layered PAMGS, the governing equations of the problem are discretized concerning periodic boundary conditions (PBCs) in the transverse direction. The reflection coefficient transformation approach is then used to obtain an analytical solution in the longitudinal direction. Here, magnetically-biased graphene strips are modeled as conductive strips with a tensor surface conductivity which is electromagnetically characterized with tensor graphene boundary condition (TGBC). The reflectance and transmittance of different multi-layered PAMGS are carefully obtained and compared with those of other methods reported in the literature. Very good accordance between the results is observed which confirms the accuracy and efficiency of the proposed method.
本文采用半数值、半解析的线方法（MoL）对磁偏置石墨烯条带周期阵列（PAMGS）的平面波散射进行了有效分析。在线方法中，除一个自变量外的所有自变量都被离散化，以将偏微分方程组简化为常微分方程组。由于在一个坐标方向上的解是通过解析方法获得的，所以该方法具有时间有效性和快速收敛速度。对于多层PAMGS的情况，关于横向的周期边界条件（PBCs）对问题的控制方程进行离散化。然后使用反射系数变换方法在纵向方向上获得解析解。在这里，磁偏置石墨烯条带被建模为具有张量表面电导率的导电条带，该张量表面电导率通过张量石墨烯边界条件（TGBC）进行电磁表征。仔细获得了不同多层PAMGS的反射率和透射率，并与文献中报道的其他方法的结果进行了比较。观察到结果之间有很好的一致性，这证实了所提方法的准确性和有效性。
