This paper presents an analytical study of transverse-magnetic-polarized surface plasmon polaritons (SPPs) in nonlinear multi-layer structures containing graphene sheets. In the general structure, each graphene sheet has been sandwiched between two different nonlinear magnetic materials. To show the richness of the proposed general waveguide, two novel nonlinear structures have been introduced and investigated as special cases of the general structure. It will be shown that the propagation features of these structures can be tuned by changing the chemical potential of the graphene and the incident mode power. A large value of the effective index, i.e., \({n}_{\mathrm{eff}}=240\) for the chemical potential of \({\mu }_{c}=0.2 ev\) and the incident power of \(\alpha {\left|{H}_{y,0}\right|}^{2}=3\) is obtained for the second structure at the frequency of 40 THz. The analytical results confirm that the integration of nonlinear magnetic materials with graphene sheets can control and enhance the propagating features and the self-focused of the field in the nonlinear layer. This integration gives more degrees of freedom to the designer to propose new THz components such as lasers and switches in the THz region.

本文对包含石墨烯片的非线性多层结构中的横向磁极化表面等离振子极化子（SPPs）进行了分析研究。在一般结构中，每个石墨烯片都夹在两种不同的非线性磁性材料之间。为了展示所提出的通用波导的丰富性，引入了两种新颖的非线性结构，并作为通用结构的特殊情况进行了研究。将显示，可以通过改变石墨烯的化学势和入射模式功率来调整这些结构的传播特征。有效指数\（{n} _ {\ mathrm {eff}} = 240 \）的大数值，即\（{\ mu} _ {c} = 0.2 ev \）和事件的化学势的力量对于第二结构，以40 THz的频率获得\（\ alpha {\ left | {H} _ {y，0} \ right |} ^ {2} = 3 \）。分析结果证实，非线性磁性材料与石墨烯片的集成可以控制和增强非线性层中场的传播特性和自聚焦。这种集成为设计人员提供了更多的自由度，使其可以提出新的THz组件，例如THz区域中的激光器和开关。