Optical dispersion models for graphene: Integration-free formulations

Abstract

Kubo's formalism for graphene surface conductivity is so far the most popular technique to model graphene in optics. However, its original integral form makes it inefficient for numerical evaluation and coupling to electromagnetic solvers since numerical integration shall be employed. In this paper we propose a Kubo-equivalent integration-free formulation for the computationally efficient modeling of the surface conductivity of graphene in time and frequency domains.