EFFECT OF LINEAR COUPLING ON NONLINEAR RESONANCES IN BETATRON MOTION

Authors
DENINNO G TODESCO E
Citation
G. Deninno et E. Todesco, EFFECT OF LINEAR COUPLING ON NONLINEAR RESONANCES IN BETATRON MOTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 2059-2062
Citations number
28
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
2
Year of publication
1997
Pages
2059 - 2062
Database
ISI
SICI code
1063-651X(1997)55:2<2059:EOLCON>2.0.ZU;2-O
Abstract
The influence of linear coupling on nonlinear resonances in betatron m otion is considered. A model of lattice with a single sextupole and a linearly coupled one-turn matrix is analyzed. The perturbative approac h based on normal forms is considered, and the relation of the first r esonant coefficient of the interpolating Hamiltonian with the island w idth or with the unstable separatrices is outlined. The dependence of the first resonant coefficient on the coupling angle is worked out for generic resonances. The analytical results are in very good agreement with the numerical simulations based on tracking and frequency analys is.