In this article, a two-dimensional (2D) unconditionally stable finite-difference time-domain (FDTD) approach is proposed for graphene electromagnetic (EM) device simulation. The weighted Laguerre polynomials (WLPs) are utilized to resolve stability concerns, and graphene is modelled as a thin conductive layer incorporating the surface boundary condition (SBC) in WLP-FDTD scheme. The transmittance of EM signal propagating through two graphene layers is calculated for 0-10 THz to verify the effectiveness of the proposed method. The simulation results agree excellently with the results calculated from the analytical and other numerical models. The proposed SBC-WLP-FDTD method provides an alternative numerical approach to simulate graphene-like materials with improved computing efficiency.
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