辛体系下THz波在碳纳米管阵列中的传播  

THz Wave Propagation in Carbon Nanotube Arrays Under the Symplectic System

作　　者：赵鹏[1] 邓子辰[1] 张宇[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,西安710129

出　　处：《应用数学和力学》2015年第9期905-913,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11372252);中央高校基本科研业务费(310201401JCQ01001)~~

摘　　要：对于一个被周期性平行有限长碳纳米管阵列填充的平面波导,基于平行碳纳米管阵列的等效介质模型,忽略其空间色散,考虑了电磁波的损耗,从而得到填充介质的介电特性.并将电磁波在波导中的传播导入到Hamilton体系,同时考虑两侧边界条件均为理想导电边界条件,从而在辛理论框架下求解本征值方程,得到了电磁波传播色散关系.分析可知,存在一个窄的频段,电磁波基模无法传播,然而在频段外,电磁波基模传播具有极其低的损耗,这使得碳纳米管阵列具有宽频带传播的特性,这些特性使得碳纳米管阵列相比于传统材料具有更优的传播特性.For a planar waveguide filled with periodic parallel finite-length carbon nanotube ar- ray, the authors got the dielectric properties of the parallel carbon nanotube array based on the equivalent medium model for parallel carbon nanotube arrays while ignoring the spatial disper- sion but considering the electromagnetic wave propagation loss, respectively, and led the elec- tromagnetic wave propagation in the waveguide into the Hamilton system with the ideal conduc- tive boundary conditions, then the authors used the symplectic theory framework to solve the eigenvalue equations for the electromagnetic wave propagation and obtain the dispersion rela- tionships. According to the analysis, it shows that the fundamental mode for the electromagnet- ic waveguide can＇ t propagate within a narrow spectrum, however, the fundamental mode propagates smoothly with very low loss elsewhere, which makes the carbon nanotube array a waveguide material with better propagation characteristics in a wide spectrum than traditional materials.

关 键 词：碳纳米管阵列 太赫兹 辛体系 波导 

分 类 号：O441.4[理学—电磁学] O29[理学—物理]