Stability study of the modified HIE-FDTD method for modeling graphene as a surface boundary condition

Abstract

An impressive approach to model graphene in the finite-difference time-domain (FDTD) method is using a surface boundary condition (SBC). In our previous work, a method for modeling graphene as an SBC in the hybrid implicit–explicit finite-difference time-domain (HIE-FDTD) was extracted. In this paper, the impact of applying an SBC on the stability of the HIE-FDTD method is numerically analyzed using an amplification matrix method. We show that the application of the SBC does not degrade the stability of the original HIE-FDTD algorithm.