LONGITUDINAL RELAXATION OSCILLATIONS BEYOND THE THRESHOLD OF HOM INDUCED INSTABILITIES [electronic resource].
- Washington, D.C. : United States. Dept. of Energy, 2003. and Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- 3 pages : digital, PDF file
- Additional Creators:
- Stanford Linear Accelerator Center, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- 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.
- Published through SciTech Connect., 04/30/2003., "slac-pub-9745", and Limborg, Cecile.
- Type of Report and Period Covered Note:
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