各向异性超常媒质矩形波导的导波特性研究

研究中通过建立和求解填充各向异性超常媒质的矩形波导TE模式和TM模式的波动方程和场分布方程，讨论了各向异性超常媒质矩形波导的有效介电常数、有效磁导率、相位常数以及传输系数与所填充超常媒质本构参数之间的变化关系.研究发现，填充了各向异性超常媒质的矩形波导的导波特性在截止频率之上的频率区域，其导波特性由所填充超常媒质的横向本构参数决定，而与超常媒质的纵向本构参数无关.但是，在截止频率之下的频率区域，该矩形波导的导波特性则由所填充超常媒质的横向本构参数和纵向本构参数共同决定.研究中通过典型的计算实例对所得到的结 关键词： 各向异性 超常媒质 矩形波导 导波特性

Transmission characteristics of a rectangular waveguide filled with anisotropic metamaterial

The effective permittivity, effective permeability and the phase factor of a rectangular waveguide filled with an anisotropic metamaterial is derived through solving the wave equation. A group of important conclusions is obtained through discussing the relations between transmission characteristics of the waveguide and constitutive parameters of the filling metamaterial. It is shown that characteristics of the waveguide are determined by the transversal constitutive parameters when the operating frequency is higher than the cut_off frequency, and they are independent on the longitudinal constitutive parameters. However, below the cut off frequency, the characteristics of the waveguide are determined by both the transversal and longitudinal constitutive parameters. Two examples are calculated to demonstrate the above conclusions, and it is shown that calculated results are in a good agreement with the theoretical predictions. These results play important role in the applications of metamaterials to waveguide.