对比研究石墨烯薄层在等离激元纳米光波导有限元计算中的两种处理方法，即表面电流法和薄层法。基于上述两种方法，分别研究石墨烯平面波导结构和曲面波导结构中基模的场分布以及基模在不同频率和几何等参数作用下的等效模式系数。仿真结果表明，表面电流法与薄层法对上述问题均具有高度的适用性。特别的是，表面电流法与理论计算结果的偏差非常小（小于1%），而且该方法更节省计算资源。相关研究结果可用于简化石墨烯层在有限元计算中的处理方式，并且可以提高计算效率。

In this study,we consider two processing methods of graphene thin layers in plasmonic nano-optical waveguides analyzed by the finite element calculation. More specifically,we employ surface current and thin layer methods. We obtain the field distributions and effective mode indices of the fundamental modes in planar and curved graphene waveguides for different frequencies and geometric parameters. The simulation results show that both methods can efficiently tackle the problems in question. In particular, the difference between the surface current methods and the theoretical calculation results is less than 1%, and this method saves computing resources. Our results can be used to simplify the processing of graphene layers in finite element calculations and improve calculation efficiency.