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  • Open Access

Cumulative beam breakup in linear accelerators with arbitrary beam current profile

J. R. Delayen*

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

  • *Electronic address: delayen@jlab.org
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Phys. Rev. ST Accel. Beams 6, 084402 – Published 27 August, 2003

DOI: https://doi.org/10.1103/PhysRevSTAB.6.084402

Abstract

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.

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References (23)

  1. A. W. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators (John Wiley and Sons, New York, 1993). This book includes many references to work on BBU.
  2. R. L. Gluckstern, R. K. Cooper, and P. J. Channel, Part. Accel. 16, 125 (1985).
  3. G. Decker and J. M. Wang, in Proceedings of the 1987 Particle Accelerator Conference, Washington, D.C. (IEEE, Piscataway, NJ, 1987), p. 1210.
  4. G. Decker and J. M. Wang, Phys. Rev. D 38, 980 (1988).
  5. K. Yokoya, DESY Technical Report No. 86-084, 1986 (unpublished).
  6. R. L. Gluckstern, F. Neri, and R. K. Cooper, Part. Accel. 23, 53 (1988).
  7. K. A. Thompson and R. D. Ruth, Phys. Rev. D 41, 964 (1990).
  8. F. Neri and R. L. Gluckstern, in Proceedings of the 1989 Particle Accelerator Conference, Chicago, IL (IEEE, New York, 1989), p. 812.
  9. W. K. H. Panofsky and M. Bander, Rev. Sci. Instrum. 39, 206 (1968).
  10. V. K. Neil and R. K. Cooper, Part. Accel. 1, 111 (1970).
  11. V. K. Neil, L. S. Hall, and R. K. Cooper, Part. Accel. 9, 213 (1979).
  12. Y. Y. Lau, Phys. Rev. Lett. 63, 1141 (1989).
  13. K. Takayama, Phys. Rev. A 45, 1157 (1992).
  14. C. L. Bohn and J. R. Delayen, Phys. Rev. A 45, 5964 (1992).
  15. M. White, in Proceedings of the XXI International LINAC Conference, Gyeongju, Korea, 2002 (to be published).
  16. A. W. Chao, B. Richter, and C.-Y. Yao, Nucl. Instrum. Methods 178, 1 (1980).
  17. R. A. Bosh, P. R. Menge, and R. M. Gilgenbach, J. Appl. Phys. 71, 3091 (1992).
  18. T. Houck and S. Lidia, Phys. Rev. ST Accel. Beams 6, 030101 (2003).
  19. D. G. Colombant and Y. Y. Lau, Appl. Phys. Lett. 55, 27 (1989).
  20. C. L. Bohn and J. R. Delayen, in Proceedings of the 1992 Linear Accelerator Conference, Ottawa, Canada (AECL Report No. AECL-10728, 1992), p. 474.
  21. C. L. Bohn and K.-Y. Ng, Phys. Rev. Lett. 85, 984 (2000).
  22. C. L. Bohn and K.-Y. Ng, in Proceedings of the XX International LINAC Conference, Monterey, CA, 2000 (SLAC Report No. SLAC-R-561, eConf: C000821, 2000), p. 31.
  23. A. P. Prudnikov, Y. A. Brychkov, and O. I. Marichev, Integrals and Series, Special Functions Vol. 2 (Gordon and Breach Science Publishers, New York, 1988).

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Phys. Rev. ST Accel. Beams 6, 084402– Published 27 August, 2003
  • Received 17 June 2003
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