Lie Map for the Intense dc Beam Transport in Solenoids

  • The intense dc beam transport in the solenoid lenses is analyzed with the Lie algebraic method, and the transfer matrix with space charge effects is obtained. Two cases are considered: one of them is that the external focusing force is greater than the space charge force; another is that the external force is less than the space charge force. The theoretical results are coded and used in the calculations of a low energy beam transport after the ECR ion source.
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  • [1] . Dragt A J. AIP Conference proceedings, 1982, 87: 147-3102. L Jian-Qin, LI Jin-Hai. Progress in Natural Science, 2004, 16(6): 667-672
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LÜ Jian-Qin, ZHAO Xiao-Song and ZHANG Zhuo. Lie Map for the Intense dc Beam Transport in Solenoids[J]. Chinese Physics C, 2008, 32(S1): 241-243.
LÜ Jian-Qin, ZHAO Xiao-Song and ZHANG Zhuo. Lie Map for the Intense dc Beam Transport in Solenoids[J]. Chinese Physics C, 2008, 32(S1): 241-243. shu
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Received: 2008-01-10
Revised: 1900-01-01
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Lie Map for the Intense dc Beam Transport in Solenoids

    Corresponding author: LÜ Jian-Qin,

Abstract: The intense dc beam transport in the solenoid lenses is analyzed with the Lie algebraic method, and the transfer matrix with space charge effects is obtained. Two cases are considered: one of them is that the external focusing force is greater than the space charge force; another is that the external force is less than the space charge force. The theoretical results are coded and used in the calculations of a low energy beam transport after the ECR ion source.

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