Dyadic Green’s function for the graphene-dielectric stack with arbitrary field and source points

Abstract

In this paper, the dyadic Green's function for a graphene-dielectric stack is formulated based on the scattering superposition method. To this end, the scattering Green's function in each layer is expanded in terms of cylindrical vector wave functions with unknown coefficients. Using the Kronecker delta function in the field expansion, it is considered that the field and source points lie in the arbitrary layers. Afterward, recurrence relations to calculate the unknown expansion coefficients are derived by applying the impedance boundary condition at the interface of a graphene sheet surrounded by two adjacent dielectric layers. The verification of the calculated coefficients is conducted by using them in the analysis of graphene-based structures with different numbers of layers, including (1) free-standing frequency-selective surfaces and (2) parallel plates with graphene walls. A potential application of our proposed structure is investigating the interaction of donor-acceptor pairs residing in the arbitrary layers of the graphene-dielectric stack with a desired number of layers.