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建立了带状注矩形截面Cerenkov脉塞中注波互作用的三维物理模型。采用保留金属格栅槽区内高次模式的方法,将电磁场表示为本征模级数和的形式,运用Borgnis函数法和场匹配法推导了注波互作用结构的混合模色散方程。通过数值计算,分析了热态下电子注电压、电流密度、电子注厚度以及电子注与金属格栅间隙距离等主要结构和电参数对互作用增益的影响。
A three-dimensional physical model of the interaction between the wedges in a banded rectangular Cerenkov plug was established. Using the method of preserving the high-order mode in the groove region of the metal grid, the electromagnetic field is expressed as the sum of the order of the eigenmode and the Boronis function method and the field matching method are used to derive the mixed-mode dispersion equation of the structure of the wave-injection interaction. The influence of the main structure and electrical parameters such as electron injection voltage, current density, electron injection thickness and distance between electron injection and metal grid on the interaction gain under hot state is analyzed numerically.