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    Rights statement: Copyright 2018 American Institute of Physics. The following article appeared in Physics of Plasmas, 25, 2018 and may be found at http://dx.doi.org/10.1063/1.5049711 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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Uphill acceleration in a spatially modulated electrostatic field particle accelerator

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Article number113107
<mark>Journal publication date</mark>30/11/2018
<mark>Journal</mark>Physics of Plasmas
Issue number11
Volume25
Number of pages6
Publication StatusPublished
Early online date12/11/18
<mark>Original language</mark>English

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.

Bibliographic note

Copyright 2018 American Institute of Physics. The following article appeared in Physics of Plasmas, 25, 2018 and may be found at http://dx.doi.org/10.1063/1.5049711 This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.