Lie map for the nonlinear transport of continuous intense beams in the axial-symmetric electrostatic fields

作     者：Jianqin L*, Xiaosong Zhao Institute of Heavy Ion Physics, Peking University, Beijing 100871, China 

作者机构：Institute of Heavy Ion Physics Peking University Beijing 100871 China 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2008年第18卷第7期

页      面：795-800页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：National Natural Science Foundation of China,NSFC: 10075005 Specialized Research Fund for the Doctoral Program of Higher Education of China,SRFDP: 20070001001 

主　　题：Intense continuous beam Lie algebraic analysis Nonlinearity 

摘      要：Nonlinear transport of intense continuous beam in the axial-symmetric electrostatic fields is analyzed with the Lie algebraic method. The K-V particle distribution is adopted in the analysis. The results obtained can be used in the calculations of the intense continuous beam dynamics in the beam optical systems consisting of drift spaces, electrostatic lenses, and DC electrostatic accelerating tubes. A com- puter code has been designed for practical simulations. To meet the needs of accurate calculation, all the elements are divided into many small segments, the electric fields in each segment are regarded as uniform fields, and the dividing points are treated as thin lenses. Iter- ation procedures are adopted in the code to obtain self-consistent solutions. The code can be used to design low energy dc beam transport systems, electrostatic accelerators, and ion implantation machines.