  We propose a novel analytical model for anisotropic multi-layer cylindrical
structures containing graphene layers. The general structure is formed by an
aperiodic repetition of a three-layer sub-structure, where a graphene layer,
with an isotropic surface conductivity, has been sandwiched between two
adjacent magnetic materials. An external magnetic bias has been applied in the
axial direction. General matrix representation is obtained in our proposed
analytical model to find the dispersion relation. The relation will be used to
find the effective index of the structure and its other propagation parameters.
Two special exemplary structures have been introduced and studied to show the
richness of the proposed general structure regarding the related specific
plasmonic wave phenomena and effects. A series of simulations have been
conducted to demonstrate the noticeable wave-guiding properties of the
structure in the 10-40 THz band. A very good agreement between the analytical
and simulation results is observed. The proposed structure can be utilized to
design novel plasmonic devices such as absorbers, modulators, plasmonic sensors
and tunable antennas in the THz frequencies.
