https://doi.org/10.1140/epjd/e2014-50219-y
Regular Article
Transverse evolution of a long relativistic electron beam governed by the Vlasov-Poisson-type pair of equations within the plasma wake field dynamics in the local regime*
1
Dipartimento di Fisica, Università di Napoli “Federico
II”, Napoli,
Italy
2
INFN Sezione di Napoli, Napoli, Italy
3 Institute of Physics, University of Belgrade, Belgrade,
Serbia
4
SPIN-CNR Napoli, Napoli, Italy
5 Dipartimento di Matematica e Fisica, Seconda Università degli
Studi di Napoli, Italy
a
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received: 17 March 2014
Received in final form: 12 May 2014
Published online: 29 July 2014
Abstract
An analysis of the transverse plasma wake field dynamics excited by a long relativistic electron beam is carried out in a purely local regime, in which the transverse beam spot-size is much bigger than the plasma wavelength. This is done by using the Vlasov equation, that governs the kinetic spatiotemporal evolution of the transverse paraxial beam transport. A self-consistent description of the beam dynamics is then provided by coupling the Vlasov equation with a Poisson-type equation. Furthermore, the latter relates the beam density with the plasma wake potential energy. Remarkably, the approach here proposed seems to be suitable for describing the beam self-modulation and the prediction of the beam collapse.
Contribution to the Topical Issue “Theory and Applications of the Vlasov Equation”, edited by Francesco Pegoraro, Francesco Califano, Giovanni Manfredi and Philip J. Morrison.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014
