Head-tail instability and Landau damping in bunches with space charge

Head-tail instability and Landau damping in bunches with space charge

Blog Article

Head-tail modes in bunches with space charge are studied using particle tracking simulations.The eigenfrequencies and eigenfunctions of transverse coherent oscillations in a Gaussian bunch are determined and compared with theories.A model for an airbag Boy Short distribution in a barrier potential gives good predictions for the head-tail spectrum and for eigenfunctions in bunches with space charge.Using numerical simulations, space-charge induced Landau damping in a bunch is demonstrated.

The damping rates are quantified for different modes Gaming Accessories and space-charge tune shifts.Finally, the head-tail instability with space charge is studied for the resistive-wall impedance below the mode coupling threshold.Results demonstrate that space-charge induced damping can suppress the instability for moderately strong space charge; instability growth rates saturate at strong space charge, in agreement with theoretical predictions.