非线性相移因子与渡越能量附近粒子的动力学行为  

Nonlinear phase shift factors and particle dynamical behavior in the vicinity of transition energy

作　　者：吴木营[1] 李洪涛[1] 陈少文[1] 刘敏霞[1] 陈桂华[1] 罗诗裕[1] 

机构地区：[1]东莞理工学院电子工程学院,东莞523808

出　　处：《核技术》2013年第5期41-45,共5页Nuclear Techniques

基　　金：东莞市科技计划项目(200910814032)资助

摘　　要：束流穿越渡越能量后动量分散增加,束流品质退化。在经典力学框架内和小振幅近似下,考虑到相移因子的二阶非线性、射频噪声和辐射衰减的影响,把同步加速器的粒子同步运动方程化为具有阻尼项、受迫项的二阶非线性微分方程。对系统的相平面特征和振幅响应进行了数值分析;用摄动法讨论了系统的稳定性及1/3共振线附近粒子的运动行为:分析了系统的跳跃现象和系统的临界条件。结果表明,零次相移因子越大和三阶非线性越小系统越稳定。Background： After crossing the transition energy, the momentum dispersion of the beam increases, and its quality is degraded. Purpose： Considering the 2-order nonlinearity of the phase slip factor, the RF noise and the synchrotron radiation damping, the synchrotron motion equation of the particle in the synchrotron is reduced to the 3-order nonlinear differential equation with a damping term and a forced term in the classical mechanics frame and small amplitude approximation. Methods： Analysed the phase plane properties and the amplitude response of the system by the numerical method; discussed the stability and the motion behavior of the particle in the vicinity of the 1/3 resonance by the perturbed method. Results： Derived the jumping phenomena and the critical condition for the system. Conclusions： The greater zero-order phase shift factor and the smaller the third-order nonlienearity, the more stable the system becomes.

关 键 词：同步运动 相移因子 渡越能量 多尺度法 稳定性 

分 类 号：TL1[核科学技术—核能科学] TL5