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Longitudinal relaxation oscillations induced by HOMs

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.1301897· OSTI ID:21207650
;  [1]
  1. SSRL/SLAC, Stanford, California 94309 (United States)
Taking advantage of the vastly different time scales of the problem, a simple analytical model of HOM induced relaxation oscillations has been developed. First a continuous approximation of the impulsive discrete forces is made. Then only the components of the force with the synchrotron frequency are retained to describe the slowly varying amplitude and frequency of the relaxation oscillation. A two particle version of this model reproduces the main characteristics of the system.
OSTI ID:
21207650
Journal Information:
AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 496; ISSN 0094-243X; ISSN APCPCS
Country of Publication:
United States
Language:
English

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