三腔分离腔的结构尺寸对频率的影响
The effect of the dimensions of split cavity with three cavities on its resonant frequency
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摘要: 该文从圆柱坐标系下的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,导出了三腔分离腔内角向均匀TM模的色散关系,并利用色散关系分析了三腔分离腔的结构尺寸对谐振频率的影响。
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关键词:
- 分离腔; 色散关系; 谐振频率
Abstract: Starting from homogeneous scalar Helmholtzs 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 for azimuthally symmetric transverse magnetic modes in the split cavity 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. Besides, the effect of the high frequency structure dimensions of split cavity with three cavities on its resonant frequency is analyzed in detail. -
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