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Damping of coherent betatron oscillations of a charged particle beam in synchrotrons with a feedback system

  • Physics and Technique of Accelerators
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Abstract

Decisions of a delay differential equation which describes the dynamics of a charged particle beam in the smoothed approach in synchrotrons with a feedback system are analyzed. Features of the decisions for frequency shifts and decrements of coherent betatron oscillation damping caused by a signal delay in the feedback loop are revealed.

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References

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, 141980, Russia

    V. M. Zhabitsky

  2. Saint Petersburg State University, Saint Petersburg, 199034, Russia

    O. N. Chizhova

Authors
  1. V. M. Zhabitsky
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  2. O. N. Chizhova
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Correspondence to V. M. Zhabitsky.

Additional information

Original Russian Text © V.M. Zhabitsky, O.N. Chizhova, 2014, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2014.

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Zhabitsky, V.M., Chizhova, O.N. Damping of coherent betatron oscillations of a charged particle beam in synchrotrons with a feedback system. Phys. Part. Nuclei Lett. 11, 581–583 (2014). https://doi.org/10.1134/S154747711405029X

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  • DOI: https://doi.org/10.1134/S154747711405029X

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