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The theoretical description for the reflectivity properties of dielectric,metal and semiconductor plates coated with graphene is developed in theframework of the Dirac model. Graphene is described by the polarization tensorallowing the analytic continuation to the real frequency axis. The platematerials are described by the frequency-dependent dielectric permittivities.The general formulas for the reflection coefficients and reflectivities of thegraphene-coated plates, as well as their asymptotic expressions at high and lowfrequencies, are derived. The developed theory is applied to thegraphene-coated dielectric (fused silica), metal (Au and Ni), and semiconductor(Si with various charge carrier concentrations) plates. In all these cases theimpact of graphene coating on the plate reflectivity properties is calculatedover the wide frequency ranges. The obtained results can be used in manyapplications exploiting the graphene coatings, such as the optical detectors,transparent conductors, anti-reflection surfaces etc.

Theory of reflectivity properties of graphene-coated material plates