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Title: Saturation of the Hosing Instability in Quasilinear Plasma Accelerators

Abstract

The beam hosing instability is analyzed theoretically for a witness beam in the quasilinear regime of plasma accelerators. In this regime, the hosing instability saturates, even for a monoenergetic bunch, at a level much less than standard scalings predict. Analytic expressions are derived for the saturation distance and amplitude and are in agreement with numerical results. Saturation is due to the natural head-to-tail variations in the focusing force, including the self-consistent transverse beam loading.

Authors:
 [1];  [1];  [1];  [1];  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1439225
Alternate Identifier(s):
OSTI ID: 1413159
Grant/Contract Number:  
AC02-05CH11231; AC0205CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 24; Related Information: © 2017 American Physical Society.; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Lehe, R., Schroeder, C. B., Vay, J. -L., Esarey, E., and Leemans, W. P. Saturation of the Hosing Instability in Quasilinear Plasma Accelerators. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.244801.
Lehe, R., Schroeder, C. B., Vay, J. -L., Esarey, E., & Leemans, W. P. Saturation of the Hosing Instability in Quasilinear Plasma Accelerators. United States. doi:10.1103/PhysRevLett.119.244801.
Lehe, R., Schroeder, C. B., Vay, J. -L., Esarey, E., and Leemans, W. P. Wed . "Saturation of the Hosing Instability in Quasilinear Plasma Accelerators". United States. doi:10.1103/PhysRevLett.119.244801. https://www.osti.gov/servlets/purl/1439225.
@article{osti_1439225,
title = {Saturation of the Hosing Instability in Quasilinear Plasma Accelerators},
author = {Lehe, R. and Schroeder, C. B. and Vay, J. -L. and Esarey, E. and Leemans, W. P.},
abstractNote = {The beam hosing instability is analyzed theoretically for a witness beam in the quasilinear regime of plasma accelerators. In this regime, the hosing instability saturates, even for a monoenergetic bunch, at a level much less than standard scalings predict. Analytic expressions are derived for the saturation distance and amplitude and are in agreement with numerical results. Saturation is due to the natural head-to-tail variations in the focusing force, including the self-consistent transverse beam loading.},
doi = {10.1103/PhysRevLett.119.244801},
journal = {Physical Review Letters},
number = 24,
volume = 119,
place = {United States},
year = {2017},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4 works
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Figures / Tables:

FIG. 1 FIG. 1: Comparison of the numerical integration of the hosing equation Eq. (1) in the case of a linear chirp (black curve) with the early-stage solution (Eq. (5); red curve) and the late-stage solution (Eq. (6) and Eq. (7) on the left and right panels respectively; blue curve), at differentmore » slices along the witness bunch (i.e. different values of κpξ). The vertical dashed line corresponds to z = Lsat(ξ), from Eq. (4). The parameters used here are k$2\atop{c}$nb,0/np = k$2\atop{β}$,0 and ∂ξkβ = 0.1 kβ,0κp (left panels) or ∂ξkβ = −0.1 kβ,0κp (right panels).« less

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    Compact Multistage Plasma-Based Accelerator Design for Correlated Energy Spread Compensation
    journal, July 2019


    Compact Multistage Plasma-Based Accelerator Design for Correlated Energy Spread Compensation
    journal, July 2019


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