The effect of radiation damping and noise on the transverse mode coupling instability due to localized structures

Conference · Tue Oct 01 04:00:00 EDT 1985 · IEEE Trans. Nucl. Sci.; (United States)

OSTI ID:5947719

Ruggiero, F

The transverse mode coupling instability due to localized structures of a storage ring, like RF-cavities, is investigated in presence of radiation damping and quantum excitation for both synchrotron and betatron oscillations. Replacing the Vlasov equation by the Fokker-Planck equation, the longitudinal dynamics can only be described in terms of transition probabilities, whereas the transverse motion of the bunch barycenter remains deterministic. By a numerical solution of the associated integral equation, we obtain better estimates of the instability growth rates and we show the disappearence of the stop-bands associated with very high order dipole modes, which turn out to be damped proportionally to their mode number.

• Research Organization: CERN, Geneva
• OSTI ID: 5947719
• Report Number(s): CONF-850504-
• Conference Information: Journal Name: IEEE Trans. Nucl. Sci.; (United States) Journal Volume: NS-32:5
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430400* -- Particle Accelerators-- Storage Rings
BEAM DYNAMICS
BETATRON OSCILLATIONS
CALCULATION METHODS
COUPLING
DAMPING
DIFFERENTIAL EQUATIONS
EQUATIONS
FOKKER-PLANCK EQUATION
INSTABILITY
INSTABILITY GROWTH RATES
NOISE
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
STORAGE RINGS
SYNCHROTRON OSCILLATIONS