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Landau damping effects and evolutions of energy spread in small isochronous ring

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Abstract

This paper presents the Landau damping effects on the microwave instability of a coasting long bunch in an isochronous ring due to finite energy spread and emittance. Our two-dimensional (2D) dispersion relation gives more accurate predictions of the microwave instability growth rates of short-wavelength perturbations than the conventional 1D formula. The long-term evolution of energy spread is also studied by measurements and simulations.

Original languageEnglish
Pages (from-to)674-687
Number of pages14
JournalNuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume763
DOIs
StatePublished - Nov 1 2014
Externally publishedYes

Funding

We would like to thank Prof. F. Marti and T. P. Wangler for their guidance. We are also grateful to Y.C. Wang, S. Y. Lee, K. Y. Ng, G. Stupakov, E. Pozdeyev, A. W. Chao, R. York, M. Syphers, V. Zelevinsky, J. Baldwin, and J. A. Rodriguez for their fruitful discussions and suggestions. This work was supported by NSF Grant # PHY 0606007 .

Keywords

  • 2D dispersion relation
  • Energy spread
  • Isochronous ring
  • Landau damping
  • Microwave instability
  • Space charge field

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