Theory of reflectivity properties of graphene-coated material plates

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.

arXiv comment17 pages, 9 figures. Several typos in Eqs. (8), (10), (19)-(22) and Fig. 3 are corrected

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• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
• Reflectivity properties of graphene with nonzero mass-gap parameter
• Impact of chemical potential on the reflectance of graphene in the infrared and microwave domains
• Nernst heat theorem for the thermal Casimir interaction between two graphene sheets
• Optical properties of dielectric plates coated with gapped graphene
• The van der Waals and Casimir energy of anisotropic atomically thin metallic films
• Quantum field theory of the Casimir force for graphene
• Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
• TE resonances in graphene-dielectric structures
• The Casimir-Polder interaction of an atom and real graphene sheet: Verification of the Nernst heat theorem
• Maximum reflectance and transmittance of films coated with gapped graphene in the context of Dirac model
• Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential