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Saturation of a longitudinal instability due to nonlinearity of the wake field

Author
Krinsky, S.
Published
United States : [publisher not identified], 1985
Springfield, Va.: National Technical Information Service, [approximately 1985]
Physical Description
microfiche : negative ; 11 x 15 cm

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Summary
Self-sustained synchrotron oscillations are observed in electron storage rings. In general the theoretical description of the saturation of an instability for large oscillation amplitude is a difficult problem, and techniques have not yet been developed which yield analytic approximations to the appropriate nonlinear Vlasov or Fokker-Planck equations. In this paper, a single point bunch interacting with the wake field from a single resonant mode of an rf cavity is considered, and the averaging method of Bogoliubov and Mitropolsky is used to study the saturation of the initial exponential growth of the oscillation amplitude, due to the nonlinearity of the wake field. The determination of the limiting amplitude of oscillation is discussed both in the presence and in the absence of radiation damping.
Report Numbers
DE85012514; BNL-36430; CONF-850504-82
Other Subject(s)
Collection
NTIS collection.
Note
DOE contract number: AC02-76CH00016
OSTI Identifier 5735188
Research organization: Brookhaven National Lab., Upton, NY (USA).
View MARC record | catkey: 47354149