Theoretical Study of Plasmonically Induced Transparency Effect in Arrays of Graphene-Based Double Disk Resonators

Abstract In this paper, we consider coupled disk-shaped resonators separated by a thin dielectric substrate that can be used as frequency-tunable filters or as electromagnetic switches in the terahertz frequency band. The two disks are electromagnetically coupled and resonate with dipole plasmonic modes. By using a Temporal Coupled-Mode Theory based approach, we show how to analytically calculate the frequency response of such structures.The analytical results are in good agreement with those obtained from computational simulations based on the finite element method.

摘要 本文针对以薄介质基板（thin dielectric substrate）分隔的耦合盘状谐振器（coupled disk-shaped resonators）展开研究，此类结构可作为太赫兹频段（terahertz frequency band）内的频率可调滤波器（frequency-tunable filters）或电磁开关（electromagnetic switches）。两个盘片间存在电磁耦合，并以偶极等离子模式（dipole plasmonic modes）共振。本文采用基于时域耦合模理论（Temporal Coupled-Mode Theory）的分析方法，解析计算了此类结构的频率响应。所得解析结果与基于有限元法（finite element method）的数值仿真结果吻合良好。