有径向导体板的多层介质同轴线传播性

Propagation Characteristics of Circular Coaxial Cables Filled with Multilayered Homogeneous Media and a Radial Conductor Plate

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.

By using the method of separation of variables, a recursive formula was derived for the electromagnetic fields in a circular coaxial cable with a radial conductor plate and filled with multilayered homogeneous isotropic media, and the relationship between the first and the Nth layers of the electromagnetic fields was determined. Then the eigenequations were obtained by using the recursive relations among their coefficients. The eignnequations were applied to a cable filled with one kind of medium, and a special eigenequation was derived. When the radius of the interior conductor equals zero, the circular coaxial cable becomes derived as well. Numerical results were presented coaxial cables and the circular waveguide. a circular wavegnide, and its eigenequation was to reveal the propagation characteristics of circular