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Phys. Rev. ST Accel. Beams 6, 014204 (2003) [17 pages]

Centroid theory of transverse electron-proton two-stream instability in a long proton bunch

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Tai-Sen F. Wang, Paul J. Channell, and Robert J. Macek
Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545

Ronald C. Davidson
Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543

See Also: Erratum

Received 15 September 2002; published 22 January 2003

This paper presents an analytical investigation of the transverse electron-proton (e-p) two-stream instability in a proton bunch propagating through a stationary electron background. The equations of motion, including damping effects, are derived for the centroids of the proton beam and the electron cloud by considering Lorentzian and Gaussian frequency spreads for the particles. For a Lorentzian frequency distribution, we derive the asymptotic solution of the coupled linear centroid equations in the time domain and study the e-p instability in proton bunches with nonuniform line densities. Examples are given for both uniform and parabolic proton line densities.

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.6.014204
DOI:
10.1103/PhysRevSTAB.6.014204
PACS:
29.27.Bd, 41.75.–i, 52.40.Mj, 52.35.Qz

See Also

Comment: D. V. Pestrikov, Comment on “Centroid theory of transverse electron-proton two-stream instability in a long proton bunch”, Phys. Rev. ST Accel. Beams 7, 119201 (2004).

Erratum: Tai-Sen F. Wang, Paul J. Channell, Robert J. Macek, and Ronald C. Davidson, Erratum: Centroid theory of transverse electron-proton two-stream instability in a long proton bunch [Phys. Rev. ST Accel. Beams 6, 014204 (2003)], Phys. Rev. ST Accel. Beams 7, 069901 (2004).

Reply: Tai-Sen F. Wang, Paul J. Channell, Robert J. Macek, and Ronald C. Davidson, Reply to “Comment on ‘Centroid theory of transverse electron-proton two-stream instability in a long proton bunch'”, Phys. Rev. ST Accel. Beams 7, 119202 (2004).

 
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