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介质加载光栅Smith-Purcell效应自由电子激光器三维小信号理论

Small-signal Theory of a Dielectric Loaded Grating for Free-electron Laser in Three Dimensions
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摘要 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。 In this paper,the dispersion equation of the dielectric loaded grating is derived by using the field matching method,in which the electron beam is treated with finite thickness and different ratios of beam width to grating width.The linear growth rate at synchronous point is numerically calculated from the dispersion equation.The effects of the ratio on the peak growth rate are discussed when the current or the current density is constant.The results show that when the current is constant,the peak growth rate increases with the increasing of the ratio when it small than 0.1,and it will be the opposite when it’s greater than0.1.In addition,when the current density is constant,with the increasing of the ratio,the peak growth rate increases first and then decreases.
出处 《微波学报》 CSCD 北大核心 2015年第S2期295-298,共4页 Journal of Microwaves
基金 国家自然科学基金(10905032、11275004) 国家高技术研究发展计划(2012AA8122007A)
关键词 介质加载光栅慢波结构 色散方程 线性增长率 dielectric loaded grating dispersion equation linear growth rate
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