Abstract

We present a theoretical model that can be implemented to study the electromagnetic scattering problem in graphene structure arrays efficiently. The graphene structure arrays are treated as a uniform two-dimensional sheet, and accordingly the optical response is characterized by an equivalent surface conductivity. In the homogenization procedure, the surface conductivity of an infinite graphene sheet are used to depict the local resonances, and the interaction between structures is described by the depolarization factor. The method can be easily extended to investigate the optical properties of multilayer graphene structures by combining the transfer matrix method (TMM), in which the full wave simulations (such as finite element method) are very time- and resource-consuming. Our work provides an alternative solution to optoelectronic devices design based on layered graphene structures.

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