摘要
在经典力学框架内,考虑了束流冷却对同步运动的影响,在周期冷却情况下,把粒子的同步运动方程化为Mathieu方程。由于参数激励,系统呈现出了一系列稳定区和不稳定区(禁带);对可能存在的一阶不稳定区进行了讨论,用摄动法导出了它的边界曲线和禁带宽度,并讨论了粒子的禁带穿越和临界条件,导出了一次谐波振幅的临界值。
This paper considered the effect on the synchrotron motion by the cooling effect;in the classical mechanics frame and the periodic cooling case, the synchrotron motion equation of the particle is reduced to the Mathieu equation. There is the series stable and instable zone in the system by the parameter activation. We discussed 1-order instable zone and its width of the stop band, studied crossing over the stop band and the critical condition in the system, and derived the critical value for 1-order harmonic amplitude.
出处
《东莞理工学院学报》
2012年第3期25-30,共6页
Journal of Dongguan University of Technology
