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TY - CONF AU - Giovannozzi, M. AU - Bazzani, A. AU - Hernalsteens, C. AU - Williams, J. ED - Petit-Jean-Genaz, Christine ED - Arduini, Gianluigi ED - Michel, Peter ED - Schaa, Volker RW TI - Quantitative Analysis of Trapping Probability for Quasi-integrable Two-degree of Freedom Maps J2 - Proc. of IPAC2014, Dresden, Germany, June 15-20, 2014 C1 - Dresden, Germany T2 - International Particle Accelerator Conference T3 - 5 LA - english AB - 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. PB - JACoW CP - Geneva, Switzerland SP - 3065 EP - 3068 KW - resonance KW - simulation KW - extraction KW - coupling KW - synchrotron DA - 2014/07 PY - 2014 SN - 978-3-95450-132-8 DO - 10.18429/JACoW-IPAC2014-THPRO079 UR - http://jacow.org/ipac2014/papers/thpro079.pdf ER -