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We investigate the reflectance of a dielectric plate coated with a graphenesheet which possesses the nonzero energy gap and chemical potential at anytemperature. The general formalism for the reflectance using the polarizationtensor is presented in the framework of Dirac model. It allows calculation ofthe reflectivity properties for any material plate coated with real graphenesheet on the basis offirst principles of quantum electrodynamics. Numericalcomputations of the reflectance are performed for the graphene-coated SiO$_2$plate at room, liquid-nitrogen, and liquid-helium temperatures. We demonstratethat there is a nontrivial interplay between the chemical potential, energygap, frequency, and temperature in their joint action on the reflectance of agraphene-coated plate. Specifically, it is shown that at the fixed frequency ofan incident light an increase of the chemical potential and the energy gapaffect the reflectance in opposite directions by increasing and decreasing it,respectively. According to our results, the reflectance approaches unity atsufficiently low frequencies and drops to that of an uncoated plate at highfrequencies for any values of the chemical potential and energy gap. The impactof temperature on the reflectance is found to be more pronounced for graphenecoatings with smaller chemical potentials. The obtained results could beapplied for optimization of optical detectors and other devices exploitinggraphene coatings.

Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential