Coherent synchrotron radiation and bunch stability in a compact storage ring

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Coherent synchrotron radiation and bunch stability in a compact storage ring

Marco Venturini, Robert Warnock, Ronald Ruth, and James A. Ellison

Phys. Rev. ST Accel. Beams 8, 014202 – Published 28 January 2005

Abstract

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.

Received 26 March 2004

DOI:https://doi.org/10.1103/PhysRevSTAB.8.014202

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Authors & Affiliations

Marco Venturini^*

Lawrence Berkeley National Laboratory, University of California, Berkeley, California, 94720, USA

Robert Warnock^† and Ronald Ruth^‡

Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, USA

James A. Ellison^§

Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico, 87131, USA

^*Electronic address: mventurini@lbl.gov
^†Electronic address: warnock@slac.stanford.edu
^‡Electronic address: rruth@slac.stanford.edu
^§Electronic address: ellison@math.unm.edu

Impedance description of coherent synchrotron radiation with account of bunch deformation

Robert Warnock, Ronald Ruth, Marco Venturini, and James A. Ellison

Phys. Rev. ST Accel. Beams 8, 014402 (2005)

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Vol. 8, Iss. 1 — January 2005

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