辛体系下碳纳米管阵列中太赫兹波传播特性研究  

Study of Terahertz Wave Propagation in Carbon Nanotube Arrays Based on the Symplectic Formulation

作　　者：张宇[1] 邓子辰[1] 赵鹏[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,西安710072

出　　处：《应用数学和力学》2016年第9期889-900,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11372252)~~

摘　　要：应用有效介质理论,研究了周期碳纳米管阵列中电磁波在太赫兹频段的传播特性.考虑碳纳米管阵列的非局部准静态模型,将其导入Hamilton系统的辛几何理论框架下,通过求解本征值问题得到了电磁波在碳纳米管阵列中传播的色散关系.数值计算结果给出了垂直和倾斜排列的碳纳米管阵列中电磁波传输特性.研究表明在太赫兹频段,轴向非局部空间色散对电磁波传播特性影响较小.相关研究可对太赫兹频段碳纳米管阵列波传播器件的设计提供理论参考.With the effective medium model, the properties of terahertz wave propagation in the periodic arrays of carbon nanotubes were investigated. In view of the nonlocal quasistatic model, the relative permittivity was derived. The symplectic formulation was used to solve the eigenvalue problem of the electromagnetic wave propagation in the periodic arrays of carbon nanotubes and the dispersion relation was obtained. The properties of electromagnetic wave propagation in arrays of vertical and tilted carbon nanotubes were given through the numerical calculation. The numerical simulation shows that the effective medium model without nonlocal spatial dispersion gives results in good agreement with those from the electrodynamical model at the frequencies within the terahertz range, thus the spatial dispersion can be ignored. The re- search makes a theoretical reference for the design of the propagation devices for terahertz waves.

关 键 词：太赫兹波 辛几何 碳纳米管阵列 非局部空间色散 

分 类 号：O441.4[理学—电磁学] O29[理学—物理]