Development of discontinuous Galerkin methods for Maxwell’s equations in metamaterials and perfectly matched layers

The discontinuous Galerkin method has proved to be an accurate and efficient way to numerically solve many differential equations. In this paper, we extend this method to solve the time-dependent Maxwell’s equations when metamaterials and perfectly matched layers are involved. Numerical results are presented to demonstrate that our method is not only simple to implement, but also quite effective in solving Maxwell’s equations in complex media.