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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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Uphill acceleration in a spatially modulated electrostatic field particle accelerator
AU - Almansa, I.
AU - Burton, David Antony
AU - Cairns, R. A.
AU - Marini, S.
AU - Peter, E.
AU - Rizzato, F. B.
AU - Russman, F.
N1 - 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.
PY - 2018/11/30
Y1 - 2018/11/30
N2 - 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.
AB - 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.
U2 - 10.1063/1.5049711
DO - 10.1063/1.5049711
M3 - Journal article
VL - 25
JO - Physics of Plasmas
JF - Physics of Plasmas
SN - 1070-664X
IS - 11
M1 - 113107
ER -