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Simeoni, W.

Paper Title Page
THPCH001 Nonlinear Stability in the Transport of Mismatched Beams in a Uniform Focusing Field 0
 
  • R. Pakter, F.B. Rizzato, W. Simeoni
    IF-UFRGS, Porto Alegre
 
  A nonlinear stability analysis of mismatched breathing beams considering nonaxysymmetric perturbations is performed. It is shown that breathing oscillations of an initially quasi-round beam may nonlinearly induce quadrupole-like oscillations, with a possible increase of the beam size along one direction. A simple model for the nonlinear coupling is developed to clarify the instability mechanism. Growth rates are determined and compared to that of other instabilities that affect mismatched beams, such as halo formation. Self-consistent simulations with different beam loading distributions are used to verify the findings.