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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

  • Renato Fedele
  • Tahmina Akhter
  • Dušan Jovanović
  • Sergio De Nicola
  • Abdul Mannan
Regular Article
Part of the following topical collections:
  1. Topical issue: Theory and Applications of the Vlasov Equation

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.

Keywords

Free Electron Laser Vlasov Equation Relativistic Electron Beam Beam Density Betatron Oscillation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Renato Fedele
    • 1
    • 2
  • Tahmina Akhter
    • 1
    • 2
  • Dušan Jovanović
    • 2
    • 3
  • Sergio De Nicola
    • 2
    • 4
  • Abdul Mannan
    • 2
    • 5
  1. 1.Dipartimento di FisicaUniversità di Napoli “Federico II”NapoliItaly
  2. 2.INFN Sezione di NapoliNapoliItaly
  3. 3.Institute of PhysicsUniversity of BelgradeBelgradeSerbia
  4. 4.SPIN-CNR NapoliNapoliItaly
  5. 5.Dipartimento di Matematica e FisicaSeconda Università degli Studi di NapoliNapoliItaly

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