A New Application to the Discontinuous Galerkin Time-Domain Method for the Surface Plasmons

Abstract

Nowadays, there are lots of research on surface plasmons (SPs) due to a series of novel electromagnetic characteristics, such as remarkable near field enhancement effect, high sensitivity to dielectric environment. However, there are still great challenges for electromagnetic algorithms and commercial softwares to realize high precision and efficiency electromagnetic modeling for the SPs devices. It is necessary to deal with the complicated electromagnetic response mechanism of the metal materials in the SPs devices. Especially, the multiscale model has an important effect on time schemes. Although the discontinuous Galerkin time domain (DGTD) method has many advantages now, the explicit time scheme is constrained by the stability condition due to small size of fine meshes. Therefore, we propose three methods to improve present drawbacks of the discontinuous Galerkin time domain (DGTD) method in this paper. Firstly, we introduce the Generalized Nonlocal Optical Response (GNOR) mode into the DGTD method, then a new explicit time scheme by combining the Lawson method with a low-storage Runge-Kutta (LSRK) is used, finally, non-conformal region decomposition is used to realize the efficient electromagnetic modeling of the SPs device. Some numerical results show that the methods are feasible.