Abstract In this paper, we formulate a time-dependent model for simulating surface plasmon polaritons (SPPs) in graphene. The stability for the governing equations of the model is established. Then we propose a time-domain finite element method for solving the system of the governing equations. The discrete stability similar to the continuous level is proved. Numerical results are presented to demonstrate the effectiveness of our model for simulating SPPs along graphene slabs. To the best of our knowledge, this is the first time-domain finite element analysis and simulation obtained for SPPs in graphene.

中文翻译：

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表面等离子体激元建模的时域有限元方法与分析

摘要 在本文中，我们制定了一个瞬态模型来模拟石墨烯中的表面等离子体激元 (SPP)。建立了模型控制方程的稳定性。然后我们提出了求解控制方程组的时域有限元方法。证明了类似于连续水平的离散稳定性。数值结果证明了我们的模型沿石墨烯板模拟 SPP 的有效性。据我们所知，这是首次对石墨烯中的 SPP 进行时域有限元分析和模拟。