任意时间分布电子束与单间隙微波腔的非线性自洽过程研究

将电子束作为激励源，根据Maxwell方程和电子受到的洛伦兹力，给出了描述工作模式在电 子束作用下的激励方程和电子束电子在工作模式作用下的运动方程（即微波谐振腔中电子束 与微波场相互作用的自洽方程组）.根据该自洽方程组，进一步研究了任意时间分布电子束 与单间隙微波腔的相互作用.通过分析微波腔中电子束与微波作用的线性和非线性过程，给 出了电子束调制深度、微波腔作用间隙对微波输出功率的影响.最后从理论上给出了影响微 波输出功率的综合物理参量. 关键词： 微波腔 模式 自洽方程 单间隙微波腔

Investigation of nonlinear self-consistent interaction progress between microwa ve and electron beam in RF cavity

The motion of electrons is affected by microwave in RF cavity. Meanwhile electrons can also generate radiation and have influence on microwave in the cavity. Ac cording to Maxwell theory, RF field in the RF cavity can be expressed by modes. So equations about such actions are established according to Maxwell theory and Lorentz force acting on electrons in the cavity. These equations are also called self-consistent equations for action between microwave and electron beam in RF cavity. Based on the equations, the single-gap RF cavity is investigated one- dimensionally (including how microwave increases and saturates in the cavity) an d the factors influencing the output power are also studied. It is concluded tha t nonlinear action is very important, and that output power is not only determin ed by cavity structure but also by the beam modulation.