Electromagnetic Wave Reflectance, Transmittance, and Absorption in a Graphene-Covered Uniaxial Crystal Slab

Abstract

A theoretical investigation of the interaction of electromagnetic plane waves with a uniaxial crystal slab bounded by two graphene layers from both sides placed in free space is presented in this paper. An 8×8 matrix method is developed using boundary conditions at a grapheneuniaxial anisotropic crystal interface and a uniaxial anisotropic crystal-graphene interface. The developed matrix is used to find reflection and transmission coefficients by Crammer's rule. Numerical results are presented to demonstrate the effect of frequency of the incident wave, thickness of the uniaxial crystal slab, and Fermi energy of the graphene on the reflected and transmitted energies. The presented formulations and results are confirmed by published results of some limited cases.