中国物理B ›› 2006, Vol. 15 ›› Issue (3): 496-501.doi: 10.1088/1009-1963/15/3/008

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Gaussian wave formalism model for propagation of charged-particle beam through a first-order optical systems

陈宝信   

  1. School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
  • 收稿日期:2005-08-15 修回日期:2005-11-01 出版日期:2006-03-20 发布日期:2006-03-20
  • 基金资助:
    Project supported by the Scientific Research Foundation of Zhejiang University of Science and Technology, China.

Gaussian wave formalism model for propagation of charged-particle beam through a first-order optical system

Chen Bao-Xin (陈宝信)   

  1. School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
  • Received:2005-08-15 Revised:2005-11-01 Online:2006-03-20 Published:2006-03-20
  • Supported by:
    Project supported by the Scientific Research Foundation of Zhejiang University of Science and Technology, China.

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摘要： An elliptical Gaussian wave formalism model of a charged-particle beam is proposed by analogy with an elliptical Gaussian light beam. In the paraxial approximation, the charged-particle beam can be described as a whole by a complex radius of curvature in the real space domains. Therefore, the propagation and transform of charged-particle beam passing through a first-order optical system is represented by the \textit{ABCD}-like law.As an example of the application of this model, the relation between the beam waist and the minimum beam spot at a fixed target is discussed. The result, well matches that from conventional phase space model, and proves that the Gaussian wave formalism model is highly effective and reasonable.

关键词: complex radius of curvature, transfer matrix, \textit{ABCD}-like law, charged-particle beam

Abstract: An elliptical Gaussian wave formalism model of a charged-particle beam is proposed by analogy with an elliptical Gaussian light beam. In the paraxial approximation, the charged-particle beam can be described as a whole by a complex radius of curvature in the real space domains. Therefore, the propagation and transform of charged-particle beam passing through a first-order optical system is represented by the ABCD-like law.As an example of the application of this model, the relation between the beam waist and the minimum beam spot at a fixed target is discussed. The result, well matches that from conventional phase space model, and proves that the Gaussian wave formalism model is highly effective and reasonable.

Key words: complex radius of curvature, transfer matrix, ABCD-like law, charged-particle beam

中图分类号:  (Charged-particle beams)

  • 41.75.-i
41.85.Ja (Particle beam transport) 41.85.Ew (Particle beam profile, beam intensity) 42.25.Bs (Wave propagation, transmission and absorption)