Nonlinear Dynamics of Single Bunch Instability in Accelerators*
نویسنده
چکیده
We develop a nonlinear theory of the weak single bunch instability in electron and positron circular accelerators and damping rings. A nonlinear equation is derived that governs the evolution of the amplitude of unstable oscillations with account of quantum diffusion effects due to the synchrotron radiation. Numerical solutions to this equation show a large variety of nonlinear regimes depending on the growth rate of the instability and the diffusion coefficient. Comparison with the observation in the SLC Damping Ring at SLAC shows qualitative agreement with the patterns observed in the experiment. Submitted to Physical Review E * Work supported by the Department of Energy contracts DE-AC03-76SF00515 and DE-FG03-96ER54346.
منابع مشابه
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تاریخ انتشار 1996