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Title: Hose Instability and Wake Generation By An Intense Electron Beam in a Self-Ionized Gas

Abstract

The propagation of an intense relativistic electron beam through a gas that is self-ionized by the beam's space charge and wakefields is examined analytically and with 3D particle-in-cell simulations. Instability arises from the coupling between a beam and the offset plasma channel it creates when it is perturbed. The traditional electron hose instability in a preformed plasma is replaced with this slower growth instability depending on the radius of the ionization channel compared to the electron blowout radius. A new regime for hose stable plasma wakefield acceleration is suggested.

Authors:
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Publication Date:
Research Org.:
Stanford Linear Accelerator Center (SLAC)
Sponsoring Org.:
USDOE
OSTI Identifier:
881128
Report Number(s):
SLAC-PUB-11813
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US0603130
DOE Contract Number:
AC02-76SF00515
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 96
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; HOSE INSTABILITY; ELECTRON BEAMS; IONIZATION; SPACE CHARGE; WAKEFIELD ACCELERATORS; Accelerators,ACCPHY

Citation Formats

Deng, S., Barnes, C.D., Clayton, C.E., O'Connell, C., Decker, F.J., Fonseca, R.A., Huang, C., Hogan, M.J., Iverson, R., Johnson, D.K., Joshi, C., Katsouleas, T., Krejcik, P., Lu, W., Mori, W.B., Muggli, P., Oz, E., Tsung, F., Walz, D., Zhou, M., and /Southern California U. /UCLA /SLAC. Hose Instability and Wake Generation By An Intense Electron Beam in a Self-Ionized Gas. United States: N. p., 2006. Web. doi:10.1103/PhysRevLett.96.045001.
Deng, S., Barnes, C.D., Clayton, C.E., O'Connell, C., Decker, F.J., Fonseca, R.A., Huang, C., Hogan, M.J., Iverson, R., Johnson, D.K., Joshi, C., Katsouleas, T., Krejcik, P., Lu, W., Mori, W.B., Muggli, P., Oz, E., Tsung, F., Walz, D., Zhou, M., & /Southern California U. /UCLA /SLAC. Hose Instability and Wake Generation By An Intense Electron Beam in a Self-Ionized Gas. United States. doi:10.1103/PhysRevLett.96.045001.
Deng, S., Barnes, C.D., Clayton, C.E., O'Connell, C., Decker, F.J., Fonseca, R.A., Huang, C., Hogan, M.J., Iverson, R., Johnson, D.K., Joshi, C., Katsouleas, T., Krejcik, P., Lu, W., Mori, W.B., Muggli, P., Oz, E., Tsung, F., Walz, D., Zhou, M., and /Southern California U. /UCLA /SLAC. Wed . "Hose Instability and Wake Generation By An Intense Electron Beam in a Self-Ionized Gas". United States. doi:10.1103/PhysRevLett.96.045001. https://www.osti.gov/servlets/purl/881128.
@article{osti_881128,
title = {Hose Instability and Wake Generation By An Intense Electron Beam in a Self-Ionized Gas},
author = {Deng, S. and Barnes, C.D. and Clayton, C.E. and O'Connell, C. and Decker, F.J. and Fonseca, R.A. and Huang, C. and Hogan, M.J. and Iverson, R. and Johnson, D.K. and Joshi, C. and Katsouleas, T. and Krejcik, P. and Lu, W. and Mori, W.B. and Muggli, P. and Oz, E. and Tsung, F. and Walz, D. and Zhou, M. and /Southern California U. /UCLA /SLAC},
abstractNote = {The propagation of an intense relativistic electron beam through a gas that is self-ionized by the beam's space charge and wakefields is examined analytically and with 3D particle-in-cell simulations. Instability arises from the coupling between a beam and the offset plasma channel it creates when it is perturbed. The traditional electron hose instability in a preformed plasma is replaced with this slower growth instability depending on the radius of the ionization channel compared to the electron blowout radius. A new regime for hose stable plasma wakefield acceleration is suggested.},
doi = {10.1103/PhysRevLett.96.045001},
journal = {Physical Review Letters},
number = ,
volume = 96,
place = {United States},
year = {Wed Apr 12 00:00:00 EDT 2006},
month = {Wed Apr 12 00:00:00 EDT 2006}
}
  • A relativistic electron beam, propagating in an underdense ion-focusing channel that is embedded within a broad region of underdense plasma, is shown to be subject to a hose instability due to coupling with plasma electrons at the edge of the pure-ion region. The instability is studied by means of linearized analytic calculations of dispersion relations and asymptotic growth, numerical integrations of the linearized dynamical equations, and three-dimensional particle simulations of the full nonlinear evolution. Three cases are considered: (1) If the plasma density [ital n][sub [ital i]0]([ital r]), prior to the introduction of the beam, is uniform, the instability ismore » absolute, grows very rapidly, and does not saturate nonlinearly until the thrashing of the beam carries it into the quasineutral plasma region. Thus the instability prevents orderly beam propagation. (2) If [ital n][sub [ital i]0]([ital r]) consists of a central channel with constant density, surrounded by lower density plasma, the instability is again absolute, but with a reduced growth rate. Over a limited range, propagation without significant disturbance is possible. If the propagation range is long, the instability is stabilized by phase mixing when the beam leaves the channel. The beam then is recentered, with consequent emittance growth. (3) If [ital n][sub [ital i]0]([ital r]) consists of a central channel with a rounded density profile, surrounded by lower density plasma, the instability is convective in the beam frame. If parameters are chosen correctly, the instability does not significantly inhibit long range propagation.« less
  • The nonlinear stage in the development of a resistive hose instability of a high-current relativistic electron beam in a finite-conductivity plasma has been studied in the rigid-beam model. The attenuation of the force of the interaction of the beam with the magnetic field of the total current for large beam displacements is shown to result in the stabilization of the instability. The stabilization time and the amplitudes of the oscillations in the saturation regime are determined as functions of the parameters of the beam in the plasma.
  • The observed disruption of a self-focused, relativistic electron beam propagating through a gas is shown to result from the growth of m=1 (''kink'' or ''hose'') perturbations. Measurements of the frequency dependence of the spatial amplification rate are presented. An upper cutoff to the frequency range for hose amplification is observed, in agreement with a theoretical model that includes the damping effects of a spread in the particle betatron frequency.
  • The results of a two-dimensional particle-in-cell simulation and of an analytical description of the propagation in an underdense plasma of a short, relativistically intense, laser pulse are presented. Self-focusing is proven in an ultrarelativistic regime for moderately long pulses. Pulses shorter than the plasma wavelength, but wider than it, excite a wake wave with a regular electric field. The electron density in the wake has a horseshoe'' shape and focuses a long pulse locally. The excitation of stimulated Raman backward scattering is observed.