Application of a Localized Chaos Generated by RF-Phase Modulations in Phase-Space Dilution

TL;DR

This paper explores how localized chaos generated through RF-phase modulations can be used to achieve uniform beam distribution in phase space, with theoretical and numerical analysis of its origin, stability, and practical applications.

Contribution

It introduces a novel method of phase-space dilution using localized chaos via RF-phase modulations, expanding the tools for beam uniformization.

Findings

Localized chaos can be generated by RF-phase modulations in a double-rf system.

The stability and conditions for chaos are analyzed theoretically.

Applications include high-power beam uniformization and industrial irradiation.

Abstract

Physics of chaos in a localized phase-space region is exploited to produce a longitudinally uniformly distributed beam. Theoretical study and %numerical simulations are used to study its origin and applicability in phase-space dilution of beam bunch. Through phase modulation to a double-rf system, a central region of localized chaos bounded by invariant tori are generated by overlapping parametric resonances. Condition and stability of the chaos will be analyzed. Applications include high-power beam, beam distribution uniformization, and industrial beam irradiation.