1. Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap
- Author
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D. A. Ovsyannikov, M. K. Eseev, Alexander Ovsyannikov, and Igor Meshkov
- Subjects
Lyapunov function ,Physics ,Nuclear and High Energy Physics ,Radiation ,01 natural sciences ,Atomic and Molecular Physics, and Optics ,Charged particle ,010305 fluids & plasmas ,Trap (computing) ,symbols.namesake ,Classical mechanics ,Exponential stability ,Electric field ,0103 physical sciences ,symbols ,Radiology, Nuclear Medicine and imaging ,010306 general physics ,Particle beam ,Charged particle beam ,Envelope (waves) - Abstract
The dynamics of charged particles in the Penning–Malmberg–Surco trap with a rotating electric field [1–3] (the Charlton trap) is investigated. Two different algorithms for determining Lyapunov characteristic exponents for solutions of a nonstationary system describing the dynamics of particles in a trap are constructed and realized. This allows us to construct approximate analytical solutions and analyze the behavior of the envelope of the particle beam, and not only of individual trajectories. The asymptotic stability of motions of charged particles is checked for a different choice of the system parameters and their relations.
- Published
- 2018
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