强激光与粒子束, 2003, 15 (7): 717, 网络出版: 2006-04-28
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.
参考文献
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吕建钦, 李金海, 李超龙. 强流束在二极磁铁中的非线性传输-Lie代数分析[J]. 强激光与粒子束, 2003, 15(7): 717. 吕建钦, 李金海, 李超龙. Nonlinear transport of intense beams in dipole magnets-Lie algebraic analysis[J]. High Power Laser and Particle Beams, 2003, 15(7): 717.
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