FDTD algorithm for subcell model with cells containing layers of graphene thin sheets

The present study proposes a frequency-dependent subcell technique for modeling Graphene thin sheet layers in the finite-difference time-domain method (FDTD). By employing the integral form of the Maxwell-Ampere equation, update equations are derived to accurately simulate electric fields within each subcell containing a Graphene thin layer. This innovative approach significantly reduces computational time and memory requirements. To validate its effectiveness, a numerical example is conducted to investigate wave propagation through a graphene thin layer.