Nonlinear regime of a single-mode CSR instability
نویسنده
چکیده
Close to the shielding threshold of synchrotron radiation in a toroidal waveguide the coherent synchrotron radiation (CSR) instability may be driven by a single synchronous mode. The linear analysis of the problem is presented elsewhere. In this paper we study a nonlinear regime of the single-mode CSR instability. We show that in the nonlinear regime the instability is described by a system of equations which, after a proper scaling, coincides with the 1D FEL instability theory. We present numeric and analytic analysis of the non-linear regime for the time interval large compared with the damping time taking into account radiation damping and diffusion due to the quantum fluctuations. Presented at the 2003 Particle Accelerator Conference (PAC 03) Portland, Oregon, May 12-16, 2003 ∗Work supported by Department of Energy contract DE–AC03–76SF00515. Nonlinear regime of a single-mode CSR instability S. Heifets and G. Stupakov Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309
منابع مشابه
Single-mode coherent synchrotron radiation instability
The microwave instability driven by the coherent synchrotron radiation (CSR) has been previously studied [G. Stupakov, S. Heifets, Phys. Rev. ST Accel. Beams 5, 054402 (2002)] neglecting effect of the shielding caused by the finite beam pipe aperture. The growth rate of the instability is large and, at low bunch density, is dominated by the long wavelength modes. Such modes may be close to the ...
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