Coherent synchrotron radiation and bunch stability in a compact storage ring

Details Coherent synchrotron radiation and bunch stability in a compact storage ring Coherent synchrotron radiation and bunch stability in a compact storage ring

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phrvs...8a4202v&link_type=abstract

Physical Review Special Topics - Accelerators and Beams, vol. 8, Issue 1, id. 014202

Statistics

Computation

14

Synchrotron Radiation, Beam Dynamics, Collective Effects And Instabilities, Fokker-Planck And Vlasov Equation

Scientific paper

We examine the effect of the collective force due to coherent synchrotron radiation (CSR) in an electron storage ring with small bending radius. In a computation based on time-domain integration of the nonlinear Vlasov equation, we find the threshold current for a longitudinal microwave instability induced by CSR alone. The model accounts for suppression of radiation at long wavelengths due to shielding by the vacuum chamber. In a calculation just above threshold, small ripples in the charge distribution build up over a fraction of a synchrotron period, but then die out to yield a relatively smooth but altered distribution with eventual oscillations in bunch length. The instability evolves from small noise on an initial smooth bunch of rms length much greater than the shielding cutoff.

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