Optical properties of dielectric plates coated with gapped graphene

Abstract

The optical properties of dielectric plates coated with gapped graphene are investigated on the basis of first principles of quantum electrodynamics. The reflection coefficients and reflectivities of graphene-coated plates are expressed in terms of the polarization tensor of gapped graphene and the dielectric permittivity of plate material. Simple approximate expressions for the required combinations of components of the polarization tensor applicable in the wide frequency region, where the presence of a gap influences the optical properties, are found. Numerical computations of the reflectivities of graphene-coated SiO${}_2$ plates are performed for different values of the mass-gap parameter at different temperatures. It is shown that with an increasing gap width the reflectivity of a graphene-coated plate at the normal incidence decreases by up to a factor of 8 depending on the values of frequency and mass-gap parameter. The angle dependences of reflectivities for both polarizations of the incident electromagnetic waves have been computed for Si and SiO${}_2$ plates coated with gapped graphene. We demonstrate that the TM reflectivity has a minimum value at some angle of incidence depending on the mass-gap parameter, frequency and temperature, whereas the TE reflectivity depends on the angle of incidence monotonously. However, for the graphene coatings with a nonzero mass-gap parameter the reflected light cannot be fully polarized. Possible applications of the obtained results are discussed.

arXiv comment16 pages, 6 figures; accepted for publication in Phys. Rev. B

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Cited by in corpus (11)

• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• 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
• Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
• Impact of chemical potential on the reflectance of graphene in the infrared and microwave domains
• On the convergence of the polarization tensor in space-time of three dimensions
• Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
• 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