Efficient control of accelerator maps

TL;DR

This paper demonstrates that simplified control methods based on Hamiltonian Control Theory can significantly enhance the dynamic aperture of particle accelerators, even with minimal control applied to a single degree of freedom.

Contribution

It extends previous work by showing that a simplified control term improves accelerator dynamics and can be effectively applied with minimal intervention.

Findings

Simplified control terms significantly increase dynamic aperture.

Control applied to one degree of freedom yields substantial improvements.

Results extend previous Hamiltonian Control Theory applications.

Abstract

Recently, the Hamiltonian Control Theory was used in [Boreux et al.] to increase the dynamic aperture of a ring particle accelerator having a localized thin sextupole magnet. In this letter, these results are extended by proving that a simplified version of the obtained general control term leads to significant improvements of the dynamic aperture of the uncontrolled model. In addition, the dynamics of flat beams based on the same accelerator model can be significantly improved by a reduced controlled term applied in only 1 degree of freedom.