用逐次线性化法对储存环动力学孔径的解析研究  

Analytical Study of Dynamic Aperture for Storage Ring by Using Successive Linearization Method

作　　者：杨建成[1] 夏佳文[1] 武军霞[1] 夏国兴[1] 刘伟[1] 殷学军[1] 

机构地区：[1]中国科学院近代物理研究所

出　　处：《高能物理与核物理》2004年第1期82-87,共6页High Energy Physics and Nuclear Physics

基　　金：国家九五重大科学工程--兰州重离子加速器冷却储存环 (HIRFL CSR)项目资助~~

摘　　要：从逐次线性化法解粒子非线性Betatron振荡方程出发 ,对存在非线性六极场、八极场及六极场与八极场共存的粒子Betatron振荡方程进行研究 .应用线性理论得出了粒子非线性Betatron振荡稳定性的判据 ,得到了动力学孔径的半解析表达式 ,分析了在小振幅下 ,导致粒子非线性不稳定性的另外一种机制———小振幅下 ,参量共振所引起的自激振荡 .用此方法对实际lattice的动力学孔径进行了研究 。The determination of dynamic aperture is a critical issue in circular accelerator. In this paper, we solved the equation of motion including non-linear forces by using successive linearization method and got a criterion for the determining of the dynamic aperture of the machine. Applying this criterion, a storage ring with FODO lattice has been studied. The results are agree well with the tracking results in a large range of linear turn(Q). The purpose is to improve our understanding of the mechanisms driving the particle motion in the presence of non-linear forces and got another mechanism driving instability of particle in storage ring-parametric resonance caused by “fluctuating transfer matrices” at small amplification.

关 键 词：非线性Betatron振荡 逐次线性化 储存环 动力学孔径 储存环设计 哈密顿函数 

分 类 号：O572.2[理学—粒子物理与原子核物理]