中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1280-1284.doi: 10.1088/1009-1963/16/5/019

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

吕建钦, 张卓   

  1. Institute of Heavy Ion Physics, Peking University, Beijing 100871, China
  • 收稿日期:2006-08-21 修回日期:2006-09-08 出版日期:2007-05-20 发布日期:2007-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 1057009).

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

Lü Jian-Qin(吕建钦)† and Zhang Zhuo(张卓)   

  1. Institute of Heavy Ion Physics, Peking University, Beijing 100871, China
  • Received:2006-08-21 Revised:2006-09-08 Online:2007-05-20 Published:2007-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 1057009).

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摘要： 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.

关键词: Lie algebraic method, spherical electrostatic analyser, optical properties, nonlinearity

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.

Key words: Lie algebraic method, spherical electrostatic analyser, optical properties, nonlinearity

中图分类号:  (Particle beam transport)

  • 41.85.Ja
02.10.Ud (Linear algebra) 41.75.Lx (Other advanced accelerator concepts)