Phys. Rev. Lett. 94, 194801 (2005) [4 pages]Collective Emittance Exchange with Linear Space Charge Forces and Linear CouplingReceived 16 March 2004; published 16 May 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.194801
DOI:
10.1103/PhysRevLett.94.194801
PACS:
41.75.-i, 29.17.+w, 29.27.Bd
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