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
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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KV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 KV type. Second order terms of particle rays are obtained, and higher orders could be approached if necessary.
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Key words:
- dipole magnets /
- intense beams /
- nonlinear /
- lie map
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