  In this paper, dyadic Green's function for a graphene-dielectric stack is
formulated based on the scattering superposition method. To this end,
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 for
calculating the unknown expansion coefficients are derived by applying the
impedance boundary conditions at the interface of a graphene sheet surrounded
by two adjacent dielectric layers. The verification of the calculated
coefficients is conducted by utilizing them in the analysis of graphene-based
structures with different numbers of layers, including 1) free-standing
frequency-selective surfaces (FSSs) and 2) parallel plates (PPs) with graphene
walls. A potential application of our proposed structure is investigating the
interaction of donor-acceptor pairs resided in the arbitrary layers of the
graphene-dielectric stack with a desired number of layers.
