Longitudinal instabilities of long Gaussian bunches

Conference · Mon Aug 01 04:00:00 EDT 1983 · IEEE Trans. Nucl. Sci.; (United States)

OSTI ID:5444792

Krinsky, S; Wang, J M

The authors present an overview of the longitudinal instabilities of Gaussian bunches subject to a harmonic RF potential. Their emphasis is on the behavior of long bunches having lengths greater than the wavelength of the perturbinG electromagnetic fields. The authors exhibit the crossover between the dominance of the synchrotron modes and the coasting-beam-like distortions of the bunch distribution, which occurs as the real or imaginary part of the coherent oscillation frequency becomes large compared to the synchrotron oscillation frequency. For a narrow band impedance the growth rate of the coasting-beam-like modes is determined by the average beam current, and for a broad band impedance the growth rate is determined by the peak current. The authors discuss the transition between these two regimes by considering the growth rate as a function of the bandwidth of the impedance.

• Research Organization: Brookhaven Nat.'l Lab., Upton, NY 11973
• OSTI ID: 5444792
• Report Number(s): CONF-830311-
• Conference Information: Journal Name: IEEE Trans. Nucl. Sci.; (United States) Journal Volume: NS-30:4
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
430200* -- Particle Accelerators-- Beam Dynamics
Field Calculations
& Ion Optics
BEAM BUNCHING
BEAM CURRENTS
BEAM DYNAMICS
BEAMS
CURRENTS
ELECTROMAGNETIC FIELDS
GAUSSIAN PROCESSES
INSTABILITY
OSCILLATIONS
PARAMETRIC INSTABILITIES
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
RF SYSTEMS
SYNCHROTRON OSCILLATIONS
WAVELENGTHS