Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-18T07:46:07.958Z Has data issue: false hasContentIssue false
  • English
  • Français

Analytical method for determining at equilibrium the envelope and emittance of initially mismatched beams

Published online by Cambridge University Press:  03 June 2009

R. P. NUNES  and
F. B. RIZZATO
R. P. NUNES
Affiliation:
CTI, Universidade Federal do Rio Grande, Rua Eng. Alfredo Huch 475, CEP 96201-900, Rio Grande, RS, Brasil ([email protected], [email protected])
F. B. RIZZATO
Affiliation:
Instituto de Física, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves, 9500, Caixa Postal 15051, CEP 91501-970, Porto Alegre, RS, Brasil
Get access Rights & Permissions [Opens in a new window]

Abstract

This work presents a fully analytic way of determining relevant equilibrium quantities of a high-intensity charged particle beam submitted to magnetic focusing while inside a linear channel. Through the current approach, some intermediate steps of our original hybrid model which had to be solved numerically can now be eliminated, leading to the obtainment of a fully analytic expression. This expression relates the initial beam parameters with those at equilibrium, allowing beam macroscopic quantities such as envelope and emittance to be naturally and analytically determined. For validation, full self-consistent N-particle beam numerical simulations have been carried out and the results compared with the predictions supplied by the full analytical model. The agreement is shown to be good with the simulations and also with the original hybrid numerical-analytical version of the model.

Type
Papers
Information
Journal of Plasma Physics , Volume 75 , Issue 6 , December 2009 , pp. 829 - 839
Copyright
Copyright © Cambridge University Press 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Nunes, R. P., Pakter, R. and Rizzato, F. B. 2007 Phys. Plasmas 14 (2), 023104.CrossRefGoogle Scholar
[2]Allen, C. K. et al. 2002 Phys. Rev. Lett. 89 (21).Google Scholar
[3]Lichtenberg, A. J. and Lieberman, M. A. 1992 Regular and Stochastic Motion. New York: Springer-Verlag, p. 115.Google Scholar
[4]Gluckstern, R. L. 1994 Phys. Rev. Lett. 73, 1247.CrossRefGoogle Scholar
[5]Nunes, R. P., Pakter, R. and Rizzato, F. B. 2008 J. Appl. Phys. 104 (1).CrossRefGoogle Scholar
[6]Nunes, R. P. 2008 Technical Report, UFRGS.Google Scholar
[7]Nunes, R. P. and Rizzato, F. B. 2008 Proceedings of 11th European Particle Accelerator Conference, Genoa, Italy. Mulhouse: EPS-AG, p. 3206.Google Scholar
[8]Davidson, R. C. and Qin, H. 2001 Physics of Intense Charged Particle Beams in High Energy Accelerators. Singapore: World Scientific, p. 269 (Energy Conservation).CrossRefGoogle Scholar
[9]Benammar, M. 2005 IEEE Transactions on Circuits and Systems 52 (2), 263.Google Scholar