Improving beam stability in particle accelerator models by using Hamiltonian control

Details Improving beam stability in particle accelerator models by using Hamiltonian control Improving beam stability in particle accelerator models by using Hamiltonian control

2010-07-09

arxiv.org/abs/1007.1565v3

Physics

Accelerator Physics

22 pages, 6 figures. Minor corrections in the text

Scientific paper

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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