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Dispersion-Induced Beam Instability in Circular Accelerators.

Y S Yuan1, O Boine-Frankenheim1,2, G Franchetti2

  • 1Technische Universität Darmstadt, Schlossgartenstrasse 8, 64289 Darmstadt, Germany.

Physical Review Letters
|April 29, 2017
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Summary
This summary is machine-generated.

A new stop band in particle accelerators is identified, modifying beam instabilities in circular machines. This discovery impacts the characterization of intense beams in accelerators with bending magnets.

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Area of Science:

  • Accelerator physics
  • Beam dynamics
  • Plasma physics

Background:

  • The envelope instability in periodically focused, space charge dominated beams is a known issue in linear accelerators.
  • This instability, occurring near 90° phase advance, leads to beam loss and is typically avoided.

Purpose of the Study:

  • To investigate the modification of the envelope instability in circular accelerators due to the effect of dispersion.
  • To identify new stop bands and understand their underlying mechanisms in the presence of bending magnets.

Main Methods:

  • Utilizing two-dimensional envelope equations extended by the dispersion equation.
  • Comparing results from perturbation theory, the full envelope model, and particle-in-cell simulations.

Main Results:

  • An additional stop band was identified above 120° phase advance in circular accelerators.
  • This new stop band arises from the confluence of an envelope mode and a newly identified coherent dispersion mode.
  • Perturbation theory, envelope model, and particle-in-cell simulations showed good agreement.

Conclusions:

  • The presence of dispersion in circular accelerators significantly modifies the envelope instability.
  • The newly identified coherent dispersion mode and its interaction with envelope modes create a new stop band.
  • This finding has implications for intense beam characterization in circular machines.