驻波腔内电子运动过程的解析分析

ANALYSIS OF ELECTRON BEAM MOVEMENT IN STAND-WAVE CAVITY

考虑了加速电场的高次谐波的影响，解析地分析了电子在驻波腔内的运动过程，给出了电场分布，与数值模拟计算的电场分布比较吻合。讨论了高次谐波对电子束横向运动的影响，利用此解析解可选择高亮度注入器腔的最优电场分布。并得出射频驻波腔内电子束在β趋于１时射频场效应趋于零的结论。

This paper discusses the electrom bean movement in the stand-wave cavity by the addition of a spacial third-harmonic component to the field.The analytic electric field distribution,which we give out,is well agree with real electric field.The paper also discusses the contribution of the third-haimonic component to the energy spread and emittance and uses the result of analysis to select the optimal electric field in high-brightness injector.By the analytic result, we give out a conclusion that RF effect will tends to zero when electron moving speed tends to light velocity.