储存环的束流冷却与系统的共振穿越  

The Beam Cooling and the Resonance Cross Over in Storage Rings

作　　者：罗诗裕[1] 邵明珠[1] 

机构地区：[1]东莞理工学院

出　　处：《东莞理工学院学报》2005年第1期1-6,共6页Journal of Dongguan University of Technology

摘　　要：考虑了储存环的束流冷却,把粒子运动方程化为Mathieu方程,在一级近似下,用多尺度法讨论了Mathieu方程的一阶不稳定区;求出了系统的禁带宽度和粒子穿越禁带所需要的时间。结果表明,禁带穿越时间大约在微秒量级,为储存环的束流冷却提供了理论分析。As the electron cooling effect in a storage rings is considered , the motion equation of particles is reduced to Mathieu equation . In the first order approximation the equation of the boundary curve is found by the multi-scale techniques. The width of the stop-band and time of crossing over this stop-band are calculated, whose result shows that the time of a particle crossing over the stop-bund is within a range of macro-seconds. Which provides the theoretical analysis of the beam cooling in storage rings.

关 键 词：MATHIEU方程 束流 禁带宽度 近似 多尺度法 粒子运动 共振 穿越 冷却 

分 类 号：O321[理学—一般力学与力学基础] TU996[理学—力学]