Saw-tooth instability in storage rings: simulations and dynamical model

Citation
M. Migliorati et al., Saw-tooth instability in storage rings: simulations and dynamical model, NUCL INST A, 437(1), 1999, pp. 134-140
Citations number
11
Categorie Soggetti
Spectroscopy /Instrumentation/Analytical Sciences","Instrumentation & Measurement
Journal title
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT
ISSN journal
01689002 → ACNP
Volume
437
Issue
1
Year of publication
1999
Pages
134 - 140
Database
ISI
SICI code
0168-9002(19991111)437:1<134:SIISRS>2.0.ZU;2-9
Abstract
The saw-tooth instability in storage rings is studied by means of a time-do main simulation code which takes into account the self-induced wake fields. The results are compared with those from a dynamical heuristic model explo iting two coupled non-linear differential equations, accounting for the tim e behavior of the instability growth rate and for the anomalous growth of t he energy spread. This model is shown to reproduce the characteristic featu res of the instability in a fairly satisfactory way. (C) 1999 Elsevier Scie nce B.V. All rights reserved.