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Coherent quantum hollow beam creation in a plasma wakefield accelerator
Published online by Cambridge University Press: 21 February 2013
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.
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- 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
References
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