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Cumulative beam breakup in linear accelerators with random displacement of cavities and focusing elements

J. R. Delayen*

  • Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA

  • *Electronic address: delayen@jlab.org

Phys. Rev. ST Accel. Beams 7, 074402 – Published 14 July, 2004Erratum Phys. Rev. ST Accel. Beams 7, 079901 (2004)

DOI: https://doi.org/10.1103/PhysRevSTAB.7.074402

Abstract

A formalism presented in a previous paper for the analysis of cumulative beam breakup with arbitrary time dependence of the beam current [J. R. Delayen, Phys. Rev. ST Accel. Beams 6, 084402 (2003)] is applied to the problem of beam breakup in the presence of random displacements of cavities and focusing elements. A closed-form solution is obtained and 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 bunches.

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16 July, 2004

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References (11)

  1. J. R. Delayen, Phys. Rev. ST Accel. Beams 6, 084402 (2003).
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  10. S. De Santis and A. Zholents, in Proceedings of the Eighth European Particle Accelerator Conference, Paris, France, 2002 (EPS-IGA/CERN, Geneva, 2002), p. 674.
  11. K. Y. Ng and C. L. Bohn, in Proceedings of the Second Asian Particle Accelerator Conference, Beijing, 2001 (IHEP, Beijing, 2001), p. 372. Equation (5) of that paper includes a typographical error and should read ⟨xQ,A(σ1)xQ,A(σ2)⟩=dg2NgΣ(1)(dΣ(σ1)dσ1)−1δ(σ1−σ2). This is identical to our Eqs. (A9) and (A10) with the exception of the additional factor Σ(1)=∫01dσ′γ(0)/γ(σ′). This extra factor is due to the fact that Ng and Bohn assume that the length of the displaced elements scales along the accelerator as the betatron wavelength while we assume that it remains constant.

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