| Paper | Title | Page |
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| TPAT045 | Equilibrium and Stability in the Transport of Intense Off-Axis Beams in Periodic Focusing Systems | |
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Funding: Work supported by Brazilian agencies CNPq, CAPES, and FAPERGS. 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. Properties of the equilibrium and the relevance of centroid motion to beam confinement are discussed. The effects of a conducting pipe encapsulating the beam are also investigated.** It is shown that the charge induced at the pipe may generate chaotic orbits which can be detrimental to the beam transport. *J.S. Moraes, R. Pakter, F.B. Rizzato, Phys. Rev. Lett., accepted for publication (2004). **J.S. Moraes, R. Pakter, F.B. Rizzato, Phys. Plasmas, accepted for publication (2004). |
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| TPAT046 | Nonlinear Stability of Intense Mismatched Beams in a Uniform Focusing Field | 2941 |
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Funding: Work supported by Brazilian agencies CNPq, CAPES, and FAPERGS. We investigate the nonlinear coupling between axisymmetric and elliptic oscillations in the dynamics of intense beams propagating in a uniform magnetic focusing field. It is shown that finite amplitude mismatched oscillations of an initially round beam may destabilize elliptic oscillations, heavily affecting stability and the shape of the beam. This is a potential mechanics for beam particle loss in such systems. Self consistent simulations are performed to verify the findings. |