NUMERICAL-METHODS TO ESTIMATE THE DYNAMIC APERTURE

Authors
GIOVANNOZZI M TODESCO E
Citation
M. Giovannozzi et E. Todesco, NUMERICAL-METHODS TO ESTIMATE THE DYNAMIC APERTURE, Particle accelerators, 55(1-4), 1996, pp. 203-212
Citations number
17
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Nuclear Sciences & Tecnology
Journal title
Particle accelerators → ACNP
ISSN journal
00312460
Volume
55
Issue
1-4
Year of publication
1996
Pages
203 - 212
Database
ISI
SICI code
0031-2460(1996)55:1-4<203:NTETDA>2.0.ZU;2-S
Abstract
Symplectic mappings that describe the 3D betatronic motion in a magnet ic lattice are considered. We define the dynamic aperture in terms of the connected volume in phase space of initial conditions that are bou nded for a given number of iterations. Different methods for a fast es timate of this quantity are given; the analysis of the associated erro rs and the optimization of the integration steps are outlined. A compa rison of the accuracy of these methods is given for both simple models and more realistic lattices.