Two-Dimensional Analogies to Frequency-Selective Surfaces (FSS) on the Graphene Sheet

In this paper we propose that two-dimensional analogies to frequency selective surfaces (FSS) can be achieved on graphene surfaces based on transformation optics. The analogies to representative FSS structures, including the anti-reflecting coating (ARC) and the high-reflecting coating (Bragg reflector) have been investigated through both the analytical Effective Index Method (EIM)/Transfer Matrix Method (TMM) and numerical simulations. Both analytical and numerical solutions have shown that the propagation of plasmons on graphene surface with periodic chemical potentials can be an analogy to the interact of incident light with traditional FSS multilayer dielectric media in which the transmission or reflection can be obtained by EIM/TMM. Combined with the tunability of graphene, the transmission or reflection of plasmons can be tuned by adjusting the bias voltage. The proposed structures and theoretical methods may provide new visions for achieving two-dimensional analogies to traditional structures on graphene.