中文摘要：

基于平行碳纳米管阵列的等效介质模型,将碳纳米管阵列的平行波导问题导入到Hamilton体系.首先,应用等效介质理论,得到了倾斜碳纳米管阵列的介电特性;随后,假设波导两侧边界条件为理想导电边界条件,通过在辛几何理论框架下的研究,得到了倾斜碳纳米管介质中波导传播的色散关系.数值模拟表明：对碳纳米管阵列来说,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低的损耗.通过优化设计,可找到最佳倾斜角,使得全频段内的传播特性得到极大的增强.对碳纳米管阵列波导的相关研究可为太赫兹频段内的波传导器件的设计提供理论参考.

英文摘要：

W ith the equivalent medium model,the problem of planar waveguides filled with periodic parallel finite-length carbon nanotube arrays was introduced into the Hamilton system. Firstly,based on the equivalent medium theory,the dielectric property of the tilted carbon nanotubes was derived. Then,in viewof the ideal conductive boundary conditions,the symplectic formulation was used to solve the eigenvalue problem of electromagnetic wave propagation and the dispersion relation was obtained. The numerical results showthat,the dominant mode of the electromagnetic waves can hardly propagate in the carbon nanotube arrays in a narrowfrequency band,while in the rest frequency bands it propagates well with very lowloss,which means the carbon nanotube arrays have excellent transmission characteristics compared with the traditional materials. Through the optimization design,the best tilt angle was given to greatly enhance the transmission characteristics in the whole frequency range. The present research of THz wave propagation in carbon nanotube arrays makes a theoretical reference for the design of waveguide devices in the THz frequency bands.