强流束在二极磁铁中的非线性传输—Lie代数分析

Nonlinear transport of intense beams in dipole magnets—Lie algebraic analysis

摘要: 用Lie代数方法分析了带电粒子束在二极磁铁中的非线性传输，包含了空间电荷效应。粒子在相空间中的分布采用KV分布。轨迹分析的结果做到二级近似，根据需要，还可以扩展到三级或更高级近似。在分析中，将磁铁沿中心轨道分成若干小段。在每个小段上利用所得公式进行轨迹计算，得到自洽的解。然后重复此过程，作下一小段的计算，直到最后一个小段为止。

Abstract: Lie algebraic methods are used in the analysis of nonlinear transport of charged particle beams in dipole magnets. Space charge forces are included. The particle distribution used is of KV type. Second order terms of particle rays are obtained, and higher orders could be approached if necessary.