Phys. Rev. Lett. 93, 244801 (2004) [4 pages]Equilibrium and Stability of Off-Axis Periodically Focused Particle BeamsReceived 14 September 2004; published 7 December 2004 A general equation for the centroid motion of free, continuous, intense beams propagating off axis in solenoidal periodic focusing fields is derived. The centroid equation is found to be independent of the specific beam distribution and may exhibit unstable solutions. A new Vlasov equilibrium for off-axis beam propagation is also obtained. The properties of the equilibrium and the relevance of centroid motion to beam confinement are discussed. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.244801
DOI:
10.1103/PhysRevLett.93.244801
PACS:
41.85.Ja, 05.45.–a
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