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| THPRO079 |
Quantitative Analysis of Trapping Probability for Quasi-integrable Two-degree of Freedom Maps |
3065 |
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- M. Giovannozzi, C. Hernalsteens, J. Williams
CERN, Geneva, Switzerland
- A. Bazzani
Bologna University, Bologna, Italy
- C. Hernalsteens
EPFL, Lausanne, Switzerland
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A key ingredient for the Multi-Turn Extraction (MTE) at the CERN Proton Synchrotron is the beam trapping in stable islands of transverse phase space. In a previous paper a method allowing analytical estimation of the fraction of beam trapped into resonance islands as a function of the Hamiltonian parameters has been presented. Such a method applies to one-degree of freedom models of betatronic motion. In this paper, the analysis is extended to the more realistic and challenging case of two-degree of freedom systems, in which the interplay between the horizontal and vertical motion is fully included. Numerical simulations are presented and the results are discussed in detail.
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| DOI • |
reference for this paper
※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO079
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