三腔分离腔振荡器高频特性分析

Analysis for the High Frequency (HF) Characteristics of the Split Cavity Oscillator with Three Cavities

本文详细研究了三腔分离腔振荡器的高频特性 ,从圆柱坐标系下的Borgnis位函数的齐次标量Helmholtz方程出发 ,引入慢波驻波概念及其场表达式 ,利用Borgnis位函数的边界条件及相邻子区公共界面上的场匹配条件 ,导出了三腔分离腔振荡器内角向均匀TM模的色散关系及场分布 。

The high frequency (HF) characteristics of the split cavity oscillator with three cavities are studied. Starting from homogeneous scalar Helmholtz equations associated with Borgnis potential function in a cylindrical coordinate system, and based on the standing wave concept of slow-wave introduced in the paper, the analytic expressions of the dispersion relation and field distribution for azimuthally symmetric transverse magnetic modes in the spilt cavity oscillator with three cavities are derived, by using boundary conditions for Borgnis potential function in conjunction with field matching conditions at the common interface between the adjacent subregions. The resonance frequency of the split cavity oscillator with three cavities calculated by this analytic method is compared with that measured in experiments and it is found that they are in agreement quite well.