Novel analytical model of anisotropic multi-layer cylindrical waveguides incorporating graphene layers

We propose a novel analytical model for anisotropic multi-layer cylindrical structures containing graphene layers. The general structure is formed by the aperiodic repetition of a three-layer sub-structure, where a graphene layer with isotropic surface conductivity of sigma is sandwiched between two adjacent magnetic materials. Each anisotropic material has permittivity and permeability tensors of epsilon and mu, respectively. An external magnetic bias is applied in the axial direction. The general matrix representation is obtained for our proposed analytical model to determine the dispersion relation. The relation is used to find the effective index of the structure and its other propagation parameters. Two special exemplary structures are introduced and employed to illustrate the richness of the proposed general structure in terms of the related specific plasmonic wave phenomena and effects. Several simulations were conducted to demonstrate the notable wave-guiding properties of the structure in the 10-40 THz band. Very good agreement was obtained between the analytical and simulation results. The proposed structure can be utilized to design novel plasmonic devices, such as absorbers, modulators, plasmonic sensors, and tunable antennas in the THz frequencies.