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arXiv · 1007.1565

Improving beam stability in particle accelerator models by using Hamiltonian control

J. Boreux·T. Carletti·Ch. Skokos·M. Vittot
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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

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J. Boreux, T. Carletti, Ch. Skokos, M. Vittot. 2010-07-09. Improving beam stability in particle accelerator models by using Hamiltonian control. https://arxiv.org/abs/1007.1565

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