A Novel Analytical Study of Anisotropic Multi-Layer Elliptical Structures Containing Graphene Layers

This article aims to propose a novel analytical model for anisotropic multi-layer elliptical structures incorporating graphene layers. The multi-layer structure is formed of various magnetic materials, and each one has the permittivity and permeability tensors of \overline {\overline {\varepsilon }} and \overline {\overline {\mu }} , respectively. An external magnetic bias has been applied in the axial direction. A graphene layer, with isotropic surface conductivity of {\sigma } , has been sandwiched between the two adjacent anisotropic materials. A novel matrix representation has been derived to find the propagation parameters of the multi-layer structure. Two exemplary important cases of the proposed general structure, as waveguides, have been investigated to show, first, the validity of our proposed analytical model and second, the richness of the general structure. The analytical and simulation results show an excellent agreement. A very large value of figure of merit (FOM), e.g., FOM = 110, is achieved for the second structure for the chemical potential and external magnetic bias of {\mu }_{\text{c}}={0.9} eV and {B}_{0}=1 T, respectively. Our general structure and its analytical model can be exploited to design innovative terahertz devices such as absorbers, couplers, and cloaks.