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本文基于介质加载光栅慢波结构,用场匹配法推导了有限厚度、填充比不为1(电子注宽度与光栅宽度比值s/w)情况下结构的热色散方程。数值计算出热色散方程的复数解,求出线性增长率。讨论了电流不变和电流密度不变两种情况下,电子注填充比s/w对峰值增长率的影响。结果表明:当电流不变时,s/w小于0.1时,峰值增长率随其增大而迅速增大;s/w大于0.1时,峰值增长率随其增大而减小。当电流密度不变时,峰值增长率随s/w的增大先增大后减小。
Based on the slow-wave structure of dielectric loading grating, the thermal dispersion equation of the structure with finite thickness and filling ratio of 1 (electron injection width to grating width ratio s / w) is deduced by field matching method. Numerically calculate the complex solution of the thermal dispersion equation and find the linear growth rate. The influence of the electron filling ratio s / w on the peak growth rate is discussed under the condition of constant current and constant current density. The results show that when s / w is less than 0.1, the peak growth rate increases rapidly when the current is constant. When s / w is greater than 0.1, the peak growth rate decreases with increasing s / w. When the current density is constant, the peak growth rate increases first and then decreases with the increase of s / w.