Discontinuous Galerkin time domain analysis of electromagnetic scattering from dispersive periodic nanostructures at oblique incidence.
Discontinuous Galerkin time domain analysis of electromagnetic scattering from dispersive periodic nanostructures at oblique incidence.
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DOI：
10.1364/oe.27.013116
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发表时间：
2019-04
期刊：
影响因子：
3.8
通讯作者：
H. Bao;L. Kang;S. Campbell;D. Werner
中科院分区：
文献类型：
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作者：
H. Bao;L. Kang;S. Campbell;D. Werner
提出了一种具有广义色散材料 (GDM) 模型和周期性边界条件 (PBC) 的高效不连续伽辽金时域 (DGTD) 方法（本文称为 DGTD-GDM-PBC），用于分析色散周期性纳米结构的电磁散射。 GDM 模型用于为任意色散材料实现稳健且准确的通用模型。使用变换场变量技术，引入 PBC 来有效地截断垂直入射和倾斜入射照明情况下周期性方向的计算域。基于用 PBC 变换的麦克斯韦方程组，推导了带有 GDM 模型的 DGTD 方法的公式。此外，提出了一种龙格-库塔时间步进方案，以高阶精度更新半离散变换麦克斯韦方程组和辅助微分方程（ADE）。给出了具有色散元素的周期性纳米结构的数值例子，例如薄膜的反射和透射、金属孔阵列结构界面处的表面等离子体以及双波段红外吸收体的吸收特性，以证明该方法的准确性和能力。
An efficient discontinuous Galerkin time domain (DGTD) method with a generalized dispersive material (GDM) model and periodic boundary conditions (PBCs), hereto referred to as DGTD-GDM-PBCs, is proposed to analyze the electromagnetic scattering from dispersive periodic nanostructures. The GDM model is utilized to achieve a robust and accurate universal model for arbitrary dispersive materials. Using a transformed field variable technique, PBCs are introduced to efficiently truncate the computational domain in the periodic directions for both normally and obliquely incident illumination cases. Based on the transformed Maxwell's equations with PBCs, the formulation of the DGTD method with a GDM model is derived. Furthermore, a Runge-Kutta time-stepping scheme is proposed to update the semi-discrete transformed Maxwell's equations and auxiliary differential equations (ADEs) with high order accuracy. Numerical examples for periodic nanostructures with dispersive elements, such as reflection and transmission of a thin film, surface plasmon at the interfaces of a metallic hole array structure, and absorption properties of a dual-band infrared absorber are presented to demonstrate the accuracy and capability of the proposed method.