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  • Open Access

Inverse stability problem in beam dynamics

Alexey Burov*

  • Fermilab, PO Box 500, Batavia, Illinois 60510-5011, USA

  • *burov@fnal.gov
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Phys. Rev. Accel. Beams 26, 082801 – Published 17 August, 2023

DOI: https://doi.org/10.1103/PhysRevAccelBeams.26.082801

Abstract

Beam stability is conventionally described by means of the stability diagram, which is a threshold line in a complex plane of a particular intensity parameter, the coherent tune shift; the diagram separates stable and unstable states. The incoherent tune spread of the beam particles normally causes the transverse stability diagram to be an asymmetric bell-shaped curve above the real axis; for a given optical nonlinearity, the diagram is determined by the beam distribution function only. Recently, such a diagram was measured by means of an antidamper, see Antipov et al., Phys. Rev. Lett. 126, 164801 (2021). Such measurements open the door to a new method of beam diagnostics, finding the beam phase space density as a solution of an inverse stability problem. The main idea, methods of its implementation, possible obstacles and optimizations are discussed.

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References (10)

  1. H. Hereward, Landau damping by non-linearity, CERN, Geneva, Technical Report No. CERN-MPS-DL-69-11, 1969.
  2. A. Ruggiero and V. Vaccaro, Solution of the dispersion relation for longitudinal stability of an intense coasting beam in a circular accelerator (application to the ISR), CERN, Geneva, Technical Report No. CERN-ISR-TH/68-33, 1968.
  3. I appreciate historical investigations made by Elias Metral in this respect (2018).
  4. J. Scott Berg and F. Ruggiero, in Proceedings of the Particle Accelerator Conference, Vancouver, BC, Canada, 1997 (IEEE, New York, 1997), Vol. 2, pp. 1712–1714.
  5. A. Burov, Phys. Rev. ST Accel. Beams 17, 021007 (2014).
  6. E. Lifshitz and L. Pitaevskii, Physical Kinetics (Elsevier, New York, 1981), p. 268.
  7. A. W. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators (Wiley, New York, 1993).
  8. S. A. Antipov, D. Amorim, N. Biancacci, X. Buffat, E. Métral, N. Mounet, A. Oeftiger, and D. Valuch, Phys. Rev. Lett. 126, 164801 (2021).
  9. Wikipedia, Inverse Problem, July 9, 2022, https://en.wikipedia.org/wiki/Inverse_problem.
  10. A. Burov, Phys. Rev. Accel. Beams 21, 114401 (2018).

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Phys. Rev. Accel. Beams 26, 082801– Published 17 August, 2023
  • Received 22 July 2022
  • Revised 29 June 2023
  • Accepted 3 August 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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