Hosing Instability Suppression in Self-Modulated Plasma Wakefields

Abstract

We show that the hosing instability can be suppressed after the saturation of the self-modulation instability of a long particle bunch if the plasma density perturbation is linear. We derive scalings for maximum bunch tilts and seeds for the self-modulation instability to ensure stable propagation beyond saturation of self-modulation. Numerical solutions of the reduced hosing equations and three-dimensional particle-in-cell simulations confirm our analytical findings. Our results may also apply when a train of particle bunches or laser pulses excites a linear wake.

Accepted for publication in Phys. Rev. Lett

References in corpus (6)

• Proton Driven Plasma Wakefield Acceleration
• Self-modulation instability of a long proton bunch in plasmas
• Growth and phase velocity of self-modulated beam-driven plasma waves
• Phase velocity and particle injection in a self-modulated proton-driven plasma wakefield accelerator
• The ion motion in self-modulated plasma wakefield accelerators
• Transverse self-modulation of ultra-relativistic lepton beams in the plasma wakefield accelerator

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• Stable Positron Acceleration in Thin, Warm, Hollow Plasma Channels
• Intrinsic Stabilization of the Drive Beam in Plasma Wakefield Accelerators
• Electron trapping and acceleration by the plasma wakefield of a self-modulating proton beam
• Parameter sensitivity of plasma wakefields driven by self-modulating proton beams
• Effect of beam emittance on self-modulation of long beams in plasma wakefield accelerators
• Self-modulation instability of ultra-relativistic particle bunches with finite rise times
• First fully kinetic three-dimensional simulation of the AWAKE baseline scenario
• Proton beam self-modulation seeded by electron bunch in plasma with density ramp
• Multi-proton bunch driven hollow plasma wakefield acceleration in the nonlinear regime
• Experimental study of extended timescale dynamics of a plasma wakefield driven by a self-modulated proton bunch
• Mitigation of the onset of hosing in the linear regime through plasma frequency detuning
• Signatures of the self-modulation instability of relativistic proton bunches in the AWAKE experiment