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 σ is sandwiched between two adjacent magnetic materials. Each anisotropic material has permittivity and permeability tensors of $\stackrel{̿}{\epsilon }$ and $\stackrel{̿}{\mu }$, 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.

我们提出了一种新的包含石墨烯层的各向异性多层圆柱结构的分析模型。一般结构由三层子结构的非周期性重复形成，其中各向同性表面电导率为σ的石墨烯层夹在两个相邻的磁性材料之间。每种各向异性材料的介电常数和磁导率张量为$\stackrel{̿}{\epsilon }$ 和 $\stackrel{̿}{\mu }$， 分别。沿轴向施加外部磁偏置。对于我们提出的分析模型，可以确定矩阵的色散关系。该关系用于查找结构的有效索引及其其他传播参数。介绍了两个特殊的示例性结构，并根据相关的特定等离激元波现象和效应来说明所提出的常规结构的丰富性。进行了几次模拟，以证明该结构在10–40 THz频带中具有显着的波导特性。在分析和仿真结果之间取得了很好的一致性。拟议的结构可用于设计新颖的等离激元器件，例如吸收器，调制器，等离激元传感器，