Theory of reflectivity properties of graphene-coated material plates

TL;DR

This paper develops a theoretical framework based on the Dirac model to analyze how graphene coatings affect the reflectivity of various material plates across different frequencies.

Contribution

It provides general formulas and asymptotic expressions for the reflectivity of graphene-coated plates, extending understanding to dielectric, metal, and semiconductor materials.

Findings

Graphene coating significantly alters reflectivity across frequency ranges.

Derived formulas applicable to various materials and conditions.

Results useful for designing optical devices with graphene coatings.

Abstract

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