DETERMINATION OF THE LINEAR COUPLING RESONANCE STRENGTH USING 2-DIMENSIONAL INVARIANT TORI

Authors
LIU JY BALL M BRABSON B BUDNICK J CAUSSYN DD DERENCHUK V EAST G ELLISON M FRIESEL D HAMILTON B HUANG H JONES WP LEE SY LI D NG KY RIABKO A SLOAN T WANG Y
Citation
Jy. Liu et al., DETERMINATION OF THE LINEAR COUPLING RESONANCE STRENGTH USING 2-DIMENSIONAL INVARIANT TORI, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(3), 1994, pp. 2347-2352
Citations number
8
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
49
Issue
3
Year of publication
1994
Pages
2347 - 2352
Database
ISI
SICI code
1063-651X(1994)49:3<2347:DOTLCR>2.0.ZU;2-I
Abstract
Experimentally obtained Poincare maps in the resonant rotating frame f or particle motion with linear coupling revealed invariant tori of the two-dimensional Hamiltonian. Using these tori, we obtained the linear coupling strength, the tune shift with betatron amplitude coefficient s, and the proximity parameter to the resonance. The coupling strength obtained with this method agreed well with that obtained from measuri ng the beatatron tune separation of the normal modes.