A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets
A new time-domain finite element method for simulating surface plasmon polaritons on graphene sheets
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DOI：
10.1016/j.camwa.2023.05.003
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发表时间：
2023-07
期刊：
影响因子：
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通讯作者：
Jichun Li;Li Zhu;T. Arbogast
中科院分区：
文献类型：
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作者：
Jichun Li;Li Zhu;T. Arbogast
在本文中，我们发展了一种新的变分形式来模拟表面等离子体激元在石墨烯片上的传播。在这里，石墨烯被视为具有有效导电性的电流薄片，并建模为低维界面。提出了一种新的时域有限元方法来求解该石墨烯模型，该方法将界面上的常微分方程与物理域中的麦克斯韦方程相耦合。证明了该方法的离散稳定性和误差估计。数值结果表明，这种石墨烯模型的有效性，用于模拟表面等离子体极化激元在石墨烯片上传播。
In this paper, we develop a new variational form to simulate the propagation of surface plasmon polaritons on graphene sheets. Here the graphene is treated as a thin sheet of current with an effective conductivity, and modeled as a lower-dimensional interface. A novel time-domain finite element method is proposed for solving this graphene model, which coupled an ordinary differential equation on the interface with Maxwell's equations in the physical domain. Discrete stability and error estimate are proved for our proposed method. Numerical results are presented to demonstrate the effectiveness of this graphene model for simulating the surface plasmon polaritons propagating on graphene sheets.