偏心介质棒加载圆波导模式分析

Mode Analysis of a Circular Waveguide loaded with an Eccentric Dielectric Rod

本文基于柱谐基函数展开,对偏心介质棒加载的圆波导模式进行分析.利用Bessel函数的加法定理,在边界上进行场匹配,获得关于诸传播常数K_z的方程.对方程进行级数截断后,可以方便地解出该波导的各种传播模式,具有收敛性可靠,结果精确、计算量小的特点,比PMM和LSBRM更为可靠易行.

Based on cylindrical harmonic expansion, this paper analyses circular waveguide loaded with an eccentric dielectric rod. By using Graf's addition theorem for Bessel functions, the field on the outer conductor is matched. Thus an equation for propagating constant of each mode is obtained. Numerical results show that the convergence is reliable.