Efficient Modeling of Nonlinear Graphene as a Surface Boundary Condition in the Finite-Difference Time-Domain Method

We propose an approach for the finite-difference time-domain (FDTD) modeling of nonlinear graphene sheets as a surface boundary condition (SBC). According to earlier experimental studies, the third-order Kerr type nonlinearity is considered for the graphene sheet. A nonlinear SBC is obtained, and subsequently, it is implemented in the FDTD method for the first time. A numerical example is presented to validate the proposed approach.