LONGITUDINAL RELAXATION OSCILLATIONS BEYOND THE THRESHOLD OF HOM INDUCED INSTABILITIES

Technical Report · Wed Apr 30 00:00:00 EDT 2003

DOI:https://doi.org/10.2172/813049· OSTI ID:813049

Limborg, Cecile ^[1]

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1. SLAC

Observations, measurements, and analysis of longitudinal oscillations that exhibit singular perturbations are presented. While the standard perturbation technique adequately describes instability thresholds, it fails to describe the behavior of the electron beam beyond threshold. In the presence of narrow band impedance, at threshold current, an instability develops in which the amplitude of the synchrotron sidebands undergoes a sawtooth oscillation. Since the impedance can be accurately controlled, and since both the beam current and energy can be varied, the damping time and the growth time of the instability, and the amplitude and phase of the non-linear driving term can be changed. The mechanism is explained analytically. Results from simulations give insights to details that are difficult to measure experimentally and to derive analytically.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (US)
• Sponsoring Organization: USDOE Office of Science (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 813049
• Report Number(s): SLAC-PUB-9745
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
AMPLITUDES
BEAM CURRENTS
DAMPING
ELECTRON BEAMS
IMPEDANCE
INSTABILITY
OSCILLATIONS
RELAXATION
SAWTOOTH OSCILLATIONS
SYNCHROTRONS
THRESHOLD CURRENT