Abstract

Structure mode frequency spreads are shown to have a rather different influence on beam breakup growths than betatron frequency spreads. Analytic and numerical studies show that a finite spread in the breakup mode frequency leads to an algebraic decay of the beam breakup instabilities even if the quality factor Q to infinity . Asymptotic formulas and the time scale for this phase mixing to occur are presented. Effects of stagger tuning are examined numerically. >

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