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.
出处
《高能物理与核物理》
CSCD
北大核心
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~~
