三腔分離腔的結(jié)構(gòu)尺寸對(duì)頻率的影響
The effect of the dimensions of split cavity with three cavities on its resonant frequency
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摘要: 該文從圓柱坐標(biāo)系下的Borgnis位函數(shù)的齊次標(biāo)量Helmholtz方程出發(fā),引入慢波駐波概念及其場(chǎng)表達(dá)式,利用Borgnis位函數(shù)的邊界條件及相鄰子區(qū)公共界面上的場(chǎng)匹配條件,導(dǎo)出了三腔分離腔內(nèi)角向均勻TM模的色散關(guān)系,并利用色散關(guān)系分析了三腔分離腔的結(jié)構(gòu)尺寸對(duì)諧振頻率的影響。
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關(guān)鍵詞:
- 分離腔; 色散關(guān)系; 諧振頻率
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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