Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

中国物理C, 2008, 32(3): 209-214.

^1, , ^2,

1.Institute of Heavy Ion Physics, Peking University, Beijing 100871, China;Institute of Fluid Physics,China Academy of Engineering Physics,Mianyang 621900,china

2.Institute of Heavy Ion Physics, Peking University, Beijing 100871, China

基金项目: 国家自然科学基金(1057009)

Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

ZHANG Zhuo ^1, , L(U) Jian-Qin ^2,

1.Institute of Heavy Ion Physics, Peking University, Beijing 100871, China;Institute of Fluid Physics,China Academy of Engineering Physics,Mianyang 621900,china

2.Institute of Heavy Ion Physics, Peking University, Beijing 100871, China

Keywords： electrostatic quadrupole

In this paper, the nonlinear transport of intense bunched beams in electrostatic quadrupoles is analyzed using the Lie algebraic method, and the results are briefly presented of the linear matrix approximation and the second order correction of particle trajectory in the state space. Beam having K-V distribution and Gaussian distribution approximation are respectively considered. A brief discussion is also given of the total effects of the quadrupole and the space charge forces on the evolution of the beam envelope.

参考文献

[1]	Dragt A J.Physics of High Energy Particle Accelerators[A].New York:Am.Inst.Phys,1987:147.
[2]	Golclstein H.Classical Mechanics[M].Massachusetts:addison-wesley,1980:378.
[3]	Takayama K .[J].Lettere ai Nuovo Cimento,1982,34(07):190.
[4]	LI Jin-Hai .Lie Algebraic Analysis and Program Design for the Nonlinear Transport of Beam in Accelerators[D].北京:北京大学,2005.

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Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

参考文献