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.

中文翻译：

---

含有石墨烯层的各向异性多层椭圆结构的新分析研究

本文旨在为包含石墨烯层的各向异性多层椭圆结构提出一种新的分析模型。多层结构由各种磁性材料构成，每一种材料的介电常数和磁导率张量分别为 $\overline {\overline {\varepsilon }}$ 和 $\overline {\overline {\mu }}$ ， 分别。在轴向上施加了外部磁偏压。石墨烯层，具有各向同性的表面电导率 ${\sigma }$ ，夹在两个相邻的各向异性材料之间。已经导出了一种新的矩阵表示来找到多层结构的传播参数。已经研究了所提出的一般结构的两个示例性重要情况，如波导，以表明，首先，我们提出的分析模型的有效性，第二，一般结构的丰富性。分析和模拟结果显示出极好的一致性。对于第二个结构的化学势和外部磁偏，实现了非常大的品质因数 (FOM)，例如 FOM = 110 ${\mu }_{\text{c}}={0.9}$ eV 和 ${B}_{0}=1$ 分别为 T。我们的一般结构及其分析模型可用于设计创新的太赫兹设备，例如吸收器、耦合器和斗篷。