电子储存环中插入元件的非线性束流动力学的Lie代数方法  

Study of Insertion Device's Influence on Nonlinear Beam Dynamics in Electron Storage Ring Using Lie Algebra

作　　者：李永军[1] 王琳[1] 冯光耀[1] 徐宏亮[1] 李为民[1] 刘祖平[1] 

机构地区：[1]中国科学技术大学国家同步辐射实验室,合肥230029

出　　处：《高能物理与核物理》2003年第9期819-823,共5页High Energy Physics and Nuclear Physics

基　　金：国家重大科学工程 (NSRL二期工程 )基金;中国科学院创新工程支持项目资助~~

摘　　要：介绍了用能保证哈密顿系统“辛”性质的Lie映射方法来研究电子储存环中的插入元件对束流动力学的影响 .并以此方法对合肥光源中将要安装的波荡器UD -In designing the 3rd generation synchrotron radiation light source, many long, and dispersion free straight sections are left for installing undulators to produce coherent radiation. For the damping ring used as pre-injector of next generation linear collider, many wigglers are used to increase radiation damping rate. So it is important to understand those Insertion devices'(ID) influence on beam dynamics in design and optimization stage. This paper introduces the study of insertion device's influence on beam dynamics in electron storage ring using the symplectic Lie mapping. Firstly the Hamiltonian of charged particle's motion along ID axis is given, then two methods are adopted to analyse ID's influence on beam dynamics. One method is expanding Hamiltonian to 4th order Taylor series, then all kinds of multipole components (till to octupole) can be obtained; another is constructing a second order symmetrical, symplectic integrator using Lie map product by similar transformation directly. The simulation results show those two methods are consistent. The primary results of influence on beam dynamics of UD-1, a new undulator which will be installed in Hefei Light Source storage ring soon, are also given. The tune-shift and decrease of dynamic aperture caused by UD-1 can be found in simulation results.

关 键 词：电子储存环 插入元件 非线性束流动力学 LIE代数 Lie映射 哈密顿系统 波荡器 

分 类 号：TL594[核科学技术—核技术及应用] TL501.5