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                                 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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                        References
	
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