Uphill acceleration in a spatially modulated electrostatic field particle accelerator
Abstract
Spatially modulated electrostatic fields can be designed to efficiently accelerate particles by exploring the relationships 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 surpasses 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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Nov 01, 2018
- Source ID
- 10.1063/1.5049711
Entities
People
- David A. Burton
- E. Peter
- F. B. Rizzato
- F. Russman
- I. Almansa
- R. A. Cairns
- S. Marini
Organizations
- Agence Nationale de la Recherche
- Air Force Office of Scientific Research
- Coordenação de Aperfeicoamento de Pessoal de Nível Superior
- Engineering and Physical Sciences Research Council
- Federal University of Rio Grande do Sul
- LULI
- National Council for Scientific and Technological Development
- University of Lancaster
- University of St Andrews