Discontinuous Galerkin Time Domain Method with Dispersive Modified Debye Model and its Application to the Analysis of Optical Frequency Selective Surfaces

摘要

We develop a discontinuous Galerkin timedomain (DGTD) algorithm with an experimentallyvalidated modified Debye model (MDM) to take metaldispersion into consideration. The MDM equation iscoupled with Maxwell’s equations and solved togetherthrough the auxiliary differential equation (ADE) method.A Runge-Kutta time-stepping scheme is proposed toupdate the semi-discrete transformed Maxwell’sequations and ADEs with high order accuracy. Then weemploy the proposed algorithm to analyze an infinitedoubly periodic frequency selective surface (FSS)operating in the optical regime that exhibits transmissionenhancement due to the surface plasmatic effect. Theaccuracy and the efficiency enhancements are validatedthrough a comparison with commercial simulationsoftware. This work represents the first integration ofMDM with DGTD, which enables the DGTD algorithmto efficiently analyze metallic structures in the opticalregime.