Improving beam stability in particle accelerator models by using Hamiltonian control
Accelerator Physics
2011-09-22 v3 Chaotic Dynamics
Abstract
We derive a Hamiltonian control theory which can be applied to a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed to exhibit a more regular orbital behavior than the uncontrolled one. Using the Smaller Alignement Index (SALI) chaos indicator, we are able to show that the controlled system has a dynamical aperture up to 1.7 times larger than the original mode
Cite
@article{arxiv.1007.1565,
title = {Improving beam stability in particle accelerator models by using Hamiltonian control},
author = {J. Boreux and T. Carletti and Ch. Skokos and M. Vittot},
journal= {arXiv preprint arXiv:1007.1565},
year = {2011}
}
Comments
22 pages, 6 figures. Minor corrections in the text