Stability Analysis of the SBC Modeling of Graphene in the FDTD Method

In this communication, we study the stability of the surface boundary condition (SBC) modeling of graphene in the finite-difference time-domain (FDTD) method. We analyze the eigenvalue problem for the FDTD equations using Gershgorin's circle theorem. The theorem proves that the importing of graphene as an SBC does not lead to a more restrictive bound than the Courant-Friedrich-Levy (CFL) condition in the stability limit of the FDTD method.