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Uphill acceleration in a spatially modulated electrostatic field particle accelerator

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I Almansa, David Burton, Robert Alan Cairns, S Marini, Eduardo Peter, Felipe Rizzato, F Russman

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Abstract

Spatially modulated electrostatic fields can be designed to efficiently accelerate particles by exploring the relations between the amplitude, the phase velocity, the shape of the potential and the initial velocity of the particle. The acceleration process occurs when the value of the velocity excursions of the particle surpass the phase velocity of the carrier, as a resonant mechanism. The ponderomotive approximation based on the Lagrangian average is usually applied in this kind of system in non accelerating regimes. The mean dynamics of the particle is well described by this approximation far from resonance. However, the approximation fails to predict some interesting features of the model near resonance, such as the uphill acceleration phenomenon. A canonical perturbation theory is more accurate in these conditions. In this work we compare the results from the Lagrangian average and from a canonical perturbation theory, focusing in regions where the results of these two approaches differ from each other.
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Original languageEnglish
Article number113107
Number of pages7
JournalPhysics of Plasmas
Volume25
Issue number11
Early online date12 Nov 2018
DOIs
Publication statusPublished - Nov 2018

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