Gyrotropic, Shielding and Sensing Low-Gigahertz Properties of Graphene Sheet Biased with Magnetic and Electric Static Fields

Closed-form expressions describing the tensorial conductivity of an electrically or magnetically biased monolayer graphene are provided in order to highlight the low-gigahertz gyrotropic, shielding and sensing properties. The longitudinal and transverse (Hall) conductivities are given as explicit functions of the fundamental electromagnetic quantities, i.e. the magnetic and electric field bias, B-0 and E-0, and the carrier charge mobility mu. The developed simple expressions of the components of the electric field transmission coefficient are utilized to compute the polarization rotation angle theta and the shielding effectiveness (SE), in case of normally incident plane wave. The dependence of theta on B-0 is investigated, and the magnetic field value providing the maximum theta is found. The simulation model is applied to compute gyrotropic, SE and sensing performances of the biased graphene sheet at low-gigahertz regime. Moreover, exploiting the sensing properties of the biased graphene sheet, the measured value of theta is used to evaluate B-0, E-0 and mu.