辛体系下THz波在碳纳米管阵列中的传播

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，本文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.

THz Wave Propagation in Carbon Nanotube Arrays Under the Symplectic System

For a planar waveguide filled with periodic parallel finite-length carbon nanotube array, we 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 dispersion but considering the electromagnetic wave propagation loss, respectively, and led the electromagnetic wave propagation in the waveguide into the Hamilton system with the ideal conductive boundary conditions, then we used the symplectic theory framework to solve the eigenvalue equations for the electromagnetic wave propagation and obtain the dispersion relationships. According to the analysis, it shows that the fundamental mode for the electromagnetic 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.