Phys. Rev. ST Accel. Beams 6, 084402 (2003) [17 pages]

Cumulative beam breakup in linear accelerators with arbitrary beam current profile

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J. R. Delayen *
Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA

Received 17 June 2003; published 27 August 2003

An analytical formalism for the solution of cumulative beam breakup in linear accelerators with arbitrary time dependence of beam current is presented, and a closed-form expression for the time and position dependence of the transverse displacement is obtained. It is applied to the behavior of a single bunch and to the steady-state and transient behavior of dc beams and beams composed of pointlike and finite-length bunches. This formalism is also applied to the problem of cumulative beam breakup in the presence of random displacement of cavities and focusing elements, and a general solution is presented.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevSTAB.6.084402
DOI: 10.1103/PhysRevSTAB.6.084402
PACS: 29.27.Bd, 41.75.–i, 52.35.–g

* Electronic address: delayen@jlab.org

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