Equivalent Circuit for Electromagnetic Interaction and Transmission Through Graphene Sheets

An equivalent circuit for the analysis of the interaction between an electromagnetic field and a thin graphene sheet is derived, based on a local anisotropic model of the graphene conductivity, valid at frequencies below the THz range. Due to the anisotropic properties, the equivalent circuit is a four-port network which couples the fundamental TE and TM polarizations. The possible effects of electrostatic and/or magnetostatic bias are included and the equivalent circuit is next used to investigate the shielding properties of graphene layers against impinging plane waves. While the possibility of tuning the graphene conductivity leads to interesting properties of electronic control of shielding perfomance, the proposed equivalent circuit represents a very simple tool for the relevant analysis and design.