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Paper   IPM / Physic / 7790
School of Physics
  Title:   Collective Emittance Exchange with Linear Space Charge Forces and Linear Coupling
1.  G. Franchetti
2.  I. Hofmann
3.  M. Aslaninejad
  Status:   Published
  Journal: Phys. Rev. Lett.
  Vol.:  94
  Year:  2005
  Pages:   194801
  Supported by:  IPM
We show that pronounced collective nonlinear behavior is present in a beam with linear coupling and space charge as described by the complete second order moment equations. The collective effects result in a shifted and broadened resonance condition as well as saturation effects in the emittance transfer. For slow stop-band crossing either the beam evolves along a skewed matched solution with full emittance exchange or the exchange is hindered by collective space charge effects, depending on the emittance ratio and direction of crossing.

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