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

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ZHANG Zhuo and Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles[J]. Chinese Physics C, 2008, 32(3): 209-214. doi: 10.1088/1674-1137/32/3/010
ZHANG Zhuo and Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles[J]. Chinese Physics C, 2008, 32(3): 209-214.  doi: 10.1088/1674-1137/32/3/010 shu
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Received: 2007-02-25
Revised: 2007-05-14
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Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles

    Corresponding author: ZHANG Zhuo,

Abstract: 

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.

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