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. © 1992 Società Italiana di Fisica.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Dattoli, G., Giubileo, G., Mezi, L., Ronsivalle, C., & Torre, A. (1992). Dimensionless perturbative theory of electron-beam propagation in the emittance-dominated regime. Nuovo Cimento della Societa Italiana di Fisica B, 107(10), 1119 - 1125. https://doi.org/10.1007/BF02727196