A New Numerical Flux for the DGTD-GSTC Method in Simulation of Metasurfaces

Over the past decade, metasurfaces have demonstrated their unique properties and potential in electromagnetics ranging from microwave to optical frequencies. Having the advantages in complex geometry modeling and broadband/nonlinear analysis response analysis, the discontinuous Galerkin time-domain method incorporating generalized sheet transition conditions (DGTD-GSTC) is particularly suited for simulating practical metasurfaces. Different from the ‘virtual edge’ approach in the previous work, this paper proposes a new rigorous numerical flux for DGTD-GSTC method, which makes the algorithm more concise and easy to implement.