Summary
In this paper we perform a charged-beam evolution analytical calculation by a perturbative analysis of the single-particle equation of motion. The model takes into account the correction induced by the space charge effect in the emittance-dominated regime. The goal is that of avoiding numerical treatment of the envelope equation providing dimensionless analytical expressions for the envelope and the divergence as a function of the propagation coordinate. The introduction of higher-order perturbative terms has been found not necessary at least within the range of the values considered in the paper. To check the validity of the method, a comparison has been made with the Kapchinskij-Vladimirskij model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. M. Kapchinskij andV. V. Vladimirskij:Proceedings of the International Conference on High Energy Accelerators, CERN, Geneva 1959, p. 274.
F. Sannibale: Thesis, University of Rome (1990).
G. Dattoli et al.:Nuovo Cimento B,106 697 (1991) and ENEA Report RT/INN/90/16.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dattoli, G., Giubileo, G., Mezi, L. et al. Dimensionless perturbative theory of electron-beam propagation in the emittance-dominated regime. Nuov Cim B 107, 1119–1125 (1992). https://doi.org/10.1007/BF02727196
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02727196