Analytical Investigation of Magneto-Plasmons in Anisotropic Multi-layer Planar Waveguides Incorporating Magnetically Biased Graphene Sheets

This article proposes a novel analytical model for the anisotropic multi-layer structures containing magnetically biased graphene sheets. The multi-layer structure is composed of various magnetic materials. An external magnetic field is applied, normal to the structure surface. Each graphene sheet, with an anisotropic conductivity tensor, has been sandwiched between two adjacent magnetic materials. Our model is used to find the dispersion relation of the structure. Now, obtaining plasmonic features of the structure, such as the effective index and propagation loss is straightforward. Four exemplary structural variants have been investigated to show the richness of the proposed general structure regarding the related specific plasmonic wave phenomena and effects. These aspects are essential to form our structural design platform to propose novel plasmonic devices such as biosensors, modulators, absorbers, transparent electrodes, and tunable metamaterials in THz frequencies. A very good agreement between the analytical and full-wave simulation results is seen.