| Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles |
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| 作者姓名： | 张卓 吕建钦 |
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| 作者单位： | [1]Institute of Heavy Ion Physics, Peking University, Beijing 100871, China [2]Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China |
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| 基金项目： | Supported by National Natural Science Foundation of China （1057009）. |
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| 摘 要： | 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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| 关 键 词： | electrostatic quadrupole space charge effect Lie algebraic nonlinearity |
| 收稿时间： | 2007-02-25 |
| 修稿时间： | 2007-5-14 |
Lie algebraic analysis for intense bunched beam in the nonlinear transport of electrostatic quadrupoles |
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| ZHANG Zhuo,LU Jian-Qin.Lie algebraic analysis for the nonlinear transport of intense bunched beam in electrostatic quadrupoles[J].High Energy Physics and Nuclear Physics,2008,32(3):209-214. |
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| Authors: | ZHANG Zhuo LU Jian-Qin |
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| 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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| Keywords: | electrostatic quadrupole space charge effect Lie algebraic nonlinearity |
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