有径向导体板的多层介质同轴线传播性

采用分离变量方法，推导了有径向导体板、填充均匀的多层各向同性介质的同轴线各层电磁场之间的递推关系，得到了第1层与第N层介质中电磁场的关系方程．利用电磁场的系数递推关系，进一步推出了此种同轴线的特征方程．将其用于只有1种各向同性介质填充情况，得到此种特殊情形下的特征方程．在内导体半径等于零的情形下，同轴线即变成具有径向导体板的圆波导，得到圆波导的特征方程．为展示其传播特性，给出了填充2层介质的同轴线及圆波导中一些模式传播特性的数值计算结果．     

填充多层互易手征介质金属圆波导的传播特性

采用分离变量法,导出了填充多层互易手征介质的圆波导的模式特征方程,进而可得填充普通介质的圆波导的模式特征方程．为揭示填充多层互易手征介质圆波导的传播特性,给出了填充1层和2层互易手征介质圆波导部分模式的色散特性数值计算结果．结果表明,影响圆波导传播特性的主要因素是互易手征介质的折射率;当互易手征介质的磁导率变化,而折射率、手征参数和2层介质的半径之比不变时,其归一化截止频率明显变化;当2层互易手征介质参数不变,改变它们的半径之比时,对其低次模归一化截止频率影响很小,因此,想通过改变2层互易手征介质的半径之比达到显著改变其低次模归一化截止频率和归一化带宽不可取．     

Propagating Characteristics of Confocal Elliptical Waveguide Filled with Multilayered Dielectrics

Using the method of separation of variables in the elliptical coordinate system, a recursive formula for the electromagnetic fields in a confocal elliptical waveguide filled with multi-layered homogeneous isotropic media is derived; then the eigenequation for it is given. When an elliptical waveguide becomes a circular waveguide, the electromagnetic fields and the eigenequation of the circular waveguide can be obtained from the eigenequation of the elliptical waveguide using the asymptotic formulae of Mathieu and modified Mathieu functions for a large radial coordinate in the elliptical coordinate system, and the eigenequation of a circular waveguide filled with multilayered dielectrics can be treated as a special case of an elliptical waveguide.In addition, some numerical examples are presented to analyze the propagating characteristics influenced by the perrnittivity, permeability of dielectrics filled in the elliptical waveguide, etc. The results show that changing the permittivity or permeability of the dielectrics filled in the waveguide and the major semiaxis value of the i-th layer can change the propagating characteristics of an elliptical waveguide.