Electromagnetic wave scattering by a graphene-sandwiched thin dielectric disk analyzed using the generalized boundary conditions

To study the electromagnetic wave scattering by a thin dielectric disk covered by graphene it is necessary to couple the Maxwell boundary value problem for a thin disk with a phenomenological model of graphene conductivity. One of the main challenges of such an approach is to involve the near-zero thickness of the graphene cover into the model. Another difficulty is to find a numerically effective and stable method to solve this boundary problem. We propose to couple the equivalent resistive boundary conditions as a model of each graphene cover with two-side generalized boundary conditions (GBS) as a model of a thin dielectric disk and then obtain effective GBS for a sandwich-like disk. To reduce the problem to a matrix equation we follow the method of analytical regularization developed for a thin dielectric disk scattering problem.