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Coherent quantum hollow beam creation in a plasma wakefield accelerator

Published online by Cambridge University Press:  21 February 2013

D. JOVANOVIĆ ,
R. FEDELE ,
F. TANJIA ,
S. DE NICOLA  and
M. BELIĆ
D. JOVANOVIĆ
Affiliation:
Institute of Physics, University of Belgrade, Belgrade, Serbia (dusan.jovanovic@ipb.ac.rs)
R. FEDELE
Affiliation:
Dipartimento di Scienze Fisiche, Universitá “Federico II” and INFN Sezione di Napoli, Italy
F. TANJIA
Affiliation:
Dipartimento di Scienze Fisiche, Universitá “Federico II” and INFN Sezione di Napoli, Italy
S. DE NICOLA
Affiliation:
Dipartimento di Scienze Fisiche, Universitá “Federico II” and INFN Sezione di Napoli, Italy Istituto Nazionale di Ottica – C.N.R., Pozzuoli (NA), Italy
M. BELIĆ
Affiliation:
Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar
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Abstract

A theoretical investigation of the propagation of a relativistic electron (or positron) particle beam in an overdense magnetoactive plasma is carried out within a fluid plasma model, taking into account the individual quantum properties of beam particles. It is demonstrated that the collective character of the particle beam manifests mostly through the self-consistent macroscopic plasma wakefield created by the charge and the current densities of the beam. The transverse dynamics of the beam–plasma system is governed by the Schrödinger equation for a single-particle wavefunction derived under the Hartree mean field approximation, coupled with a Poisson-like equation for the wake potential. These two coupled equations are subsequently reduced to a nonlinear, non-local Schrödinger equation and solved in a strongly non-local regime. An approximate Glauber solution is found analytically in the form of a Hermite–Gauss ring soliton. Such non-stationary (‘breathing’ and ‘wiggling’) coherent structure may be parametrically unstable and the corresponding growth rates are estimated analytically.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Special Issue 4: Advanced Plasma Concepts , August 2013 , pp. 397 - 403
Copyright
Copyright © Cambridge University Press 2013 

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