An Interior Penalty Discontinuous Galerkin Time Domain Method for Nanophotonic Applications

Hao Wang, Li Xu, Bin Li, S. Descombes, Stéphane Lanteril
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Abstract

In this work, an interior penalty discontinuous galerkin time domain method is developed for the discretization of the 3D time-domain Maxwell's equations coupled to a Drude dispersion model for nanophotonic applications. High order hierarchical vector basis and high order explicit Low-Storage Runge-Kutta scheme is applied for the space and time discretization, respectively. Numerical experiment is implemented to demonstrate the accuracy of the proposed method.
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应用于纳米光子的内罚不连续伽辽金时域方法
本文提出了一种内罚不连续伽辽金时域方法,用于纳米光子应用中耦合到Drude色散模型的三维时域Maxwell方程组的离散化。分别采用高阶层次向量基和高阶显式低存储龙格-库塔格式进行空间离散和时间离散。通过数值实验验证了该方法的准确性。
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