| Title |
Quantitative Analysis of Trapping Probability for Quasi-integrable Two-degree of Freedom Maps |
| Authors |
- M. Giovannozzi, C. Hernalsteens, J. Williams
CERN, Geneva, Switzerland
- A. Bazzani
Bologna University, Bologna, Italy
- C. Hernalsteens
EPFL, Lausanne, Switzerland
|
| Abstract |
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.
|
| Paper |
download THPRO079.PDF [0.189 MB / 4 pages] |
| Export |
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| Conference |
IPAC2014, Dresden, Germany |
| Series |
International Particle Accelerator Conference (5th) |
| Proceedings |
Link to full IPAC2014 Proccedings |
| Session |
Poster Session, Ronaldo Area |
| Date |
19-Jun-14 16:00–18:00 |
| Main Classification |
05 Beam Dynamics and Electromagnetic Fields |
| Sub Classification |
D02 Non-linear Dynamics - Resonances, Tracking, Higher Order |
| Keywords |
resonance, simulation, extraction, coupling, synchrotron |
| Publisher |
JACoW Publishing, Geneva, Switzerland |
| Editors |
Christine Petit-Jean-Genaz (CERN, Geneva, Switzerland); Gianluigi Arduini (CERN, Geneva, Switzerland); Peter Michel (HZDR, Dresden, Germany); Volker RW Schaa (GSI, Darmstadt, Germany) |
| ISBN |
978-3-95450-132-8 |
| Published |
July 2014 |
| Copyright |
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