Dynamics of charged particles in an adiabatic thermal beam equilibrium

Abstract

Charged-particle motion is studied in the self-electric and self-magnetic fields of a well-matched, intense charged-particle beam and an applied periodic solenoidal magnetic focusing field. The beam is assumed to be in a state of adiabatic thermal equilibrium. The phase space is analyzed and compared with that of the well-known Kapchinskij-Vladimirskij (KV)-type beam equilibrium. It is found that the widths of nonlinear resonances in the adiabatic thermal beam equilibrium are narrower than those in the KV-type beam equilibrium. Numerical evidence is presented, indicating almost complete elimination of chaotic particle motion in the adiabatic thermal beam equilibrium.

Simulation of adiabatic thermal beams in a periodic solenoidal magnetic focusing field

“…It was shown in a numerical study that chaotic particle motion is almost completely eliminated in the adiabatic thermal beam equilibrium [14]. The importance of this result is twofold: First, the elimination of chaotic particle motion provides a further numerical proof that the scaled transverse Hamiltonian is a very good approximate constant of motion.…”

Optimization of magnet sorting in a storage ring using genetic algorithms

“…Considering the similarity between TSP and the magnet sorting problem, the GAs are adopted as optimization algorithm to find the best sorting scheme. Compared with the traditional mathematical methods, GAs have stronger global optimization capability and have been used in accelerator physics research in recent years, such as linear lattice and nonlinear performance of storage ring optimization [12][13][14][15].…”