Maximum reflectance and transmittance of films coated with gapped graphene in the context of Dirac model

Abstract

The analytic expressions for the maximum and minimum reflectance of optical films coated with gapped graphene are derived in the application region of the Dirac model with account of multiple reflections. The respective film thicknesses are also found. In so doing the film material is described by the frequency-dependent index of refraction and graphene by the polarization tensor defined along the real frequency axis. The developed formalism is illustrated by an example of the graphene-coated film made of amorphous silica. Numerical computations of the maximum and minimum reflectances and respective film thicknesses are performed at room temperature in two frequency regions belonging to the near-infrared and far-infrared domains. It is shown that in the far-infrared domain the graphene coating makes a profound effect on the values of maximum reflectance and respective film thickness leading to a relative increase of their values by up to 65% and 50%, respectively. The maximum transmittance of a graphene-coated film of appropriately chosen thickness is shown to exceed 90%. Possible applications of the obtained results are discussed.

17 pages, 3 figures; accepted for publication in Phys. Rev. A

References in corpus (23)

• The electronic properties of graphene
• Measurement of the Optical Conductivity of Graphene
• Optical properties of graphene
• Colloquium: The transport properties of graphene: An introduction
• Optical far-infrared properties of graphene monolayer and multilayers
• The optical conductivity of graphene in the visible region of the spectrum
• Colloquium: Graphene spectroscopy
• Dynamical polarization, screening, and plasmons in gapped graphene
• Anomalous Absorption Line in the Magneto-Optical Response of Graphene
• Retarded interactions in Graphene systems
• Van der Waals and Casimir interactions between two graphene sheets
• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• Origin of large thermal effect in the Casimir interaction between two graphene sheets
• Emending thermal dispersion interactions of Li, Na, K and Rb alkali metal-atoms with graphene in the Dirac model
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Dynamical current-current susceptibility of gapped graphene
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• How to observe the giant thermal effect in the Casimir force for graphene systems
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Reflectivity properties of graphene with nonzero mass-gap parameter
• Nernst heat theorem for the thermal Casimir interaction between two graphene sheets
• Optical properties of dielectric plates coated with gapped graphene

Cited by in corpus (4)

• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• 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
• Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential