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.
Received: 15 August 2005
Revised: 01 November 2005
Accepted manuscript online:
Fund: Project supported by the Scientific Research Foundation of Zhejiang University of Science and Technology, China.
Cite this article:
Chen Bao-Xin (陈宝信) Gaussian wave formalism model for propagation of charged-particle beam through a first-order optical system 2006 Chinese Physics 15 496
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