Self-modulation instability of a long proton bunch in plasmas

Abstract

An analytical model for the self-modulation instability of a long relativistic proton bunch propagating in uniform plasmas is developed. The self-modulated proton bunch resonantly excites a large amplitude plasma wave (wake field), which can be used for acceleration of plasma electrons. Analytical expressions for the linear growth rate and the number of exponentiations are given. We use the full three-dimensional particle-in-cell (PIC) simulations to study the beam self-modulation and the transition to the nonlinear stage. It is shown that the self-modulation of the proton bunch competes with the hosing instability which tends to destroy the plasma wave. A method is proposed and studied through PIC simulations to circumvent this problem which relies on the seeding of the self-modulation instability in the bunch.

Cited by in corpus (68)

• Acceleration of electrons in the plasma wakefield of a proton bunch
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• Plasma Wakefield Acceleration with a Modulated Proton Bunch
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• Path to AWAKE: Evolution of the concept
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• Staging of High-Gradient Wakefield Accelerators
• Transverse self-modulation of ultra-relativistic lepton beams in the plasma wakefield accelerator
• Hosing Instability Suppression in Self-Modulated Plasma Wakefields
• Transition between Instability and Seeded Self-Modulation of a Relativistic Particle Bunch in Plasma
• A Rubidium Vapor Source for a Plasma Source for AWAKE
• Emittance preservation of an electron beam in a loaded quasi-linear plasma wakefield
• Natural noise and external wake field seeding in a proton-driven plasma accelerator
• Excitation of two-dimensional plasma wakefields by trains of equidistant particle bunches
• Effect of plasma inhomogeneity on plasma wakefield acceleration driven by long bunches
• Electron trapping and acceleration by the plasma wakefield of a self-modulating proton beam
• Ion motion in the wake driven by long particle bunches in plasmas
• Controlled Growth of the Self-Modulation of a Relativistic Proton Bunch in Plasma
• Long-term evolution of broken wakefields in finite radius plasmas
• Radial equilibrium of relativistic particle bunches in plasma wakefield accelerators
• Spatiotemporal dynamics of ultrarelativistic beam-plasma instabilities
• Numerical Studies of Electron Acceleration Behind Self-Modulating Proton Beam in Plasma with a Density Gradient
• Proton Bunch Self-Modulation in Plasma with Density Gradient
• Parameter sensitivity of plasma wakefields driven by self-modulating proton beams
• Interferometer-based high-accuracy white light measurement of neutral rubidium density and gradient at AWAKE
• Collider design issues based on proton-driven plasma wakefield acceleration
• Experimental Study of Wakefields Driven by a Self-Modulating Proton Bunch in Plasma
• Proton Driven Plasma Wakefield Acceleration in AWAKE
• Effect of beam emittance on self-modulation of long beams in plasma wakefield accelerators
• Indirect Self-Modulation Instability Measurement Concept for the AWAKE Proton Beam
• Self-modulation instability of ultra-relativistic particle bunches with finite rise times
• Setup and Characteristics of a Timing Reference Signal with sub-ps Accuracy for AWAKE
• Response of narrow cylindrical plasmas to dense charged particle beams
• The Two-Screen Measurement Setup to Indirectly Measure Proton Beam Self-Modulation in AWAKE
• First fully kinetic three-dimensional simulation of the AWAKE baseline scenario
• Resonant excitation of very high gradient plasma wakefield accelerators by optical-period bunch trains
• Wakefield decay in a radially bounded plasma due to formation of electron halo
• Witness emittance growth caused by driver density fluctuations in plasma wakefield accelerators
• Proton beam self-modulation seeded by electron bunch in plasma with density ramp
• Upgrade of the Two-Screen Measurement Setup in the AWAKE Experiment
• Stable bunch trains for plasma wakefield acceleration
• Accelerating field enhancement due to ion motion in plasma wakefield accelerators
• Seeding of the Self-Modulation in a Long Proton Bunch by Charge Cancellation with a Short Electron Bunch
• Transverse coherent transition radiation for diagnosis of modulated proton bunches
• Novel diagnostic for precise measurement of the modulation frequency of Seeded Self-Modulation via Coherent Transition Radiation in AWAKE
• 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
• Evolution of equilibrium particle beams under external wakefields
• Mitigation of the onset of hosing in the linear regime through plasma frequency detuning
• Amplitude enhancement of the self-modulated plasma wakefields
• TeV acceleration in a Matryoshka plasma channel
• Recovery of hydrogen plasma at the sub-nanosecond timescale in a plasma-wakefield accelerator
• Characterization of the equilibrium configuration for modulated beams in a plasma wakefield accelerator
• Beam Diagnostics in the Advanced Plasma Wakefield Experiment AWAKE
• Generation of controllable plasma wakefield noise in particle-in-cell simulations
• Interaction of ultrarelativistic electron and proton bunches with dense plasmas
• Simulation Study of an LWFA-based Electron Injector for AWAKE Run 2
• Status and Prospects for the AWAKE Experiment
• Signatures of the self-modulation instability of relativistic proton bunches in the AWAKE experiment
• Optmized stability of a modulated driver in a plasma wakefield accelerator
• Simulation and Experimental Study of Proton Bunch Self-Modulation in Plasma with Linear Density Gradients
• Analysis of Proton Bunch Parameters in the AWAKE Experiment
• Quasi-stable injection channels in a wakefield accelerator