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Chinese Physics, 2007, Vol. 16(5): 1280-1284    DOI: 10.1088/1009-1963/16/5/019

Lie algebraic analysis for the beam transport in the spherical electrostatic analyser

Lü Jian-Qin(吕建钦) and Zhang Zhuo(张卓)
Institute of Heavy Ion Physics, Peking University, Beijing 100871, China
Abstract  This paper uses the Lie algebraic method to analyse the charged particle trajectories in the spherical electrostatic analyser, and obtains the nonlinear solutions. The results show that the focusing abilities both in the x and y directions of the analyser are almost the same. Moreover, there exist dispersion effects in the x direction, and no dispersion effects in the y direction.
Keywords:  Lie algebraic method      spherical electrostatic analyser      optical properties      nonlinearity  
Received:  21 August 2006      Revised:  08 September 2006      Accepted manuscript online: 
PACS:  41.85.Ja (Particle beam transport)  
  02.10.Ud (Linear algebra)  
  41.75.Lx (Other advanced accelerator concepts)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 1057009).

Cite this article: 

Lü Jian-Qin(吕建钦) and Zhang Zhuo(张卓) Lie algebraic analysis for the beam transport in the spherical electrostatic analyser 2007 Chinese Physics 16 1280

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