Self modulated dynamics of a relativistic charged particle beam in plasma wake field excitation

TL;DR

This paper reviews the self-modulated dynamics of relativistic charged particle beams in plasma wakefield excitation, focusing on the theoretical framework and criteria for instability onset.

Contribution

It provides a self-consistent theoretical description coupling the Vlasov and Poisson equations for beam dynamics in plasma wakefields.

Findings

Analysis of beam envelope self-modulation

Criteria for instability occurrence

Theoretical framework for beam-plasma interactions

Abstract

Self modulated dynamics of a relativistic charged particle beam is reviewed within the context of the theory of plasma wake field excitation. The self-consistent description of the beam dynamics is provided by coupling the Vlasov equation with a Poisson-type equation relating the plasma wake potential to the beam density. An analysis of the beam envelope self-modulation is then carried out and the criteria for the occurrence of the instability are discussed thereby.