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Temporal and spatial expansion of a multi-dimensional model for electron acceleration in the bubble regime

Published online by Cambridge University Press:  25 March 2014

J. Thomas*
Affiliation:
Institut für Theoretische Physik I, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany
A. Pukhov
Affiliation:
Institut für Theoretische Physik I, Heinrich-Heine-Universität Düsseldorf, Düsseldorf, Germany Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia
I.Yu. Kostyukov
Affiliation:
Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia
*
Address correspondence and reprint requests to: J. Thomas, Institut für Theoretische Physik I, Heinrich-Heine-Universität Düsseldorf, Düsseldorf D-40225, Germany. E-mail: thomas@tpl.uni-duesseldorf.de

Abstract

An extended analytical model for particle dynamics in fields of a highly-nonlinear plasma wakefield (the bubble or blow out regime) is derived. A recently proposed piecewise model is generalized to include a time dependent bubble radius and full field solution in the acceleration direction. Incorporation of the cavity dynamics in the model is required to simulate the particle trapping properly. On the other hand, it is shown that the previously reported piecewise model does not reproduce the formation of a mono energetic peak in the particle spectrum. The mono energetic electron beams are recovered only when the full longitudinal field gradient is included in the model.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2014 

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References

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