Coherent quantum hollow beam creation in a plasma wakefield accelerator

Year: 2013

Authors: Jovanovic D., Fedele R., Tanjia F., De Nicola S., Belic M.

Autors Affiliation: Institute of Physics, University of Belgrade, Belgrade, Serbia; Dipartimento di Scienze Fisiche, Università “Federico II” and INFN Sezione di Napoli, Italy; Istituto Nazionale di Ottica – C.N.R., Pozzuoli (NA), Italy; Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

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 Schrodinger 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 Schrodinger 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.


Volume: 79      Pages from: 397  to: 403

More Information: This work was supported in part by the grant 171006 of the Serbian MPNTR. One of the authors (DJ) acknowledges the support from FAI of the Italian INFN and the kind hospitality of Dipartimento di Scienze Fisiche, Universita Federico II, Napoli. Support by the Qatar National Research Fund NPRP 09-462-1-074 project is also acknowledged.
DOI: 10.1017/S0022377813000111

Citations: 3
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