Coherent quantum hollow beam creation in a plasma wakefield accelerator
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.
Journal/Review: JOURNAL OF PLASMA PHYSICS
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/S0022377813000111Citations: 3data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-06-26References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here