相对论行波管非线性特性理论研究  

Nonlinear Analysis of a Relativistic Traveling Wave Tube

作　　者：邱海舰 乔建军 丁建锋 邓招 吕剑明 宋滔 QIU Hai-jian;QIAO Jian-jun;DING Jian-feng;DENG Zhao;Lv Jian-ming;SONG Tao(Department of Electromagnetic Defense,China Electronics Technology Cyber Security Co.,Ltd.,Chengdu 610041,China;96901 Forces,Beijing 100094,China)

机构地区：[1]中国电子科技网络信息安全有限公司,电磁防御事业部,四川成都610041 [2]96901部队,北京100094

出　　处：《真空电子技术》2020年第4期41-44,68,共5页Vacuum Electronics

摘　　要：在相对论行波管中,基于精确的拉格朗日理论模型,通过对其指数上的电子相位进行傅里叶分析,建立了欧拉非线性注波互作用理论模型。采用逐次逼近法对欧拉理论模型进行解析求解,进而得到欧拉理论模型场幅值的四阶逼近非线性解析解,以及场幅值与电子相位的解析关系式。以一支X波段的相对论行波管为例,将四阶逼近非线性解析模型与拉格朗日理论以及欧拉非线性理论模型进行对比。仿真结果表明:在线性区到中度互作用区,四阶逼近非线性解析模型的功率和增益的计算结果与拉格朗日理论以及欧拉非线性理论模型十分吻合;同时,四阶逼近非线性解析模型还能表现出增益压缩饱和现象;最后,就饱和位置附近,欧拉模型与拉格朗日理论模型存在的差异进行分析,并提出改进方法。For a relativistic traveling wave tube,based on the Lagrangian theory,an Eulerian nonlinear beam-wave interaction theory model is established by expanding the electrons into a series of harmonic components.The fourth order successive analytic solution of the model is achieved,and the relationship between electric field and electron phase is found.With a X-band relativistic traveling wave tube based on a single section,the fourth order successive analytic solution model is compared to Lagrangian theory and the Eulerian nonlinear model.It is found that the fourth order analytic solution agrees well with Lagrangian theory and Eulerian nonlinear model in a not deep beam-wave interaction region,and the saturation effects caused by electron overtaking can be described by the fourth order analytic solution.There is a big gain difference between analytic solution and Lagrangian theory near saturation point.The reason for the difference is analyzed and the improved schemes are put forward.

关 键 词：相对论行波管 欧拉理论 逐次逼近 非线性 拉朗朗日 物理机制 

分 类 号：TN124.4[电子电信—物理电子学]