真空电子技术Issue(6)：52-61,10.DOI:10.16540/j.cnki.cn11-2485/tn.2021.06.10
螺旋线行波管欧拉非线性注波互作用理论
An Analytic Model for Eulerian Large-Signal Beam-Wave Interaction Theory of Helix Traveling Wave Tubes
邱海舰 1乔建军 2牛吉凌 1张飞正 1张亘1
作者信息
- 1. 中国电子科技集团公司第三十研究所,四川成都610041
- 2. 北京96901部队,北京100094
- 折叠
摘要
Abstract
Determining how to achieve an analytic solution of Eulerian large-signal beam-wave interac-tion model of a traveling wave tube is a key point to study nonlinear effects.In this paper,we detailed de-rived the analytic solutions of an Eulerian large-signal beam-wave interaction theory of a helix traveling wave tube by the method of successive approximation.The analytic relationship between electric field and electron phase is also found.Then,the successive analytic solutions are compared to Lagrangian theory and traditional Eulerian models.C-and Ku-bands helix traveling wave tubes based on a single pitch section are included in the simulation.It is found that the fourth order analytic solution agrees well with Lagrang-ian theory and gains more accuracy than the first,second or third order analytic solution in nonlinear re-gion.The saturation effects caused by electron overtaking cannot be found by traditional Eulerian analysis,but can be described by the fourth order analytic solution.Moreover,the fourth order analytic solution is simpler than existing approaches,and thus allow analytical progress.The study confirms that the fourth order analytic solution can outperform previous proposals.关键词
解析解/欧拉模型/非线性分析/螺旋线行波管Key words
Analytic solution/Eulerian model/Nonlinear analysis/Helix traveling wave tubes分类
信息技术与安全科学引用本文复制引用
邱海舰,乔建军,牛吉凌,张飞正,张亘..螺旋线行波管欧拉非线性注波互作用理论[J].真空电子技术,2021,(6):52-61,10.
