Analysis of Graphene-based Multilayer Structures Using Spectral Domain Technique

In this paper, a generic multilayer structure containing metals, dielectrics and graphene sheets is considered and analyzed. The spectral domain techniques (SDTs) have been known as an efficient method for analysis of planar structures. But since the existence of graphene sheet imposes a new boundary condition; the conventional SDTs cannot deal with it. Therefore, a spectral-based method is proposed by applying the two dimensional Fourier transform to the fields equations. First, without loss of generality, a graphene sheet described with a conductivity tensor is assumed to be placed between two arbitrary dielectric layers. A generalized transformation matrix is then calculated where relates the electromagnetic fields of the top layer in terms of the ones of the bottom layer. It is shown that considering the tangential electric fields as supporting field components makes an easier analysis and results in more simplified expressions. The proposed method is evaluated through some examples. Some novel characteristics are observed which are promising in providing new applications.