An Interior Penalty Discontinuous Galerkin Time Domain Method for Nanophotonic Applications

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.