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Physics of Plasmas / Volume 13 / Issue 6 / ARTICLES / Basic Plasma Phenomena, Waves, Instabilities

Phys. Plasmas 13, 062108 (2006); http://dx.doi.org/10.1063/1.2212807 (8 pages)

Two-stream instability for a longitudinally compressing charged particle beam

Edward A. Startsev and Ronald C. Davidson

Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543

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(Received 28 March 2006; accepted 19 May 2006; published online 21 June 2006)

The electrostatic two-stream instability for a cold, longitudinally compressing charged particle beam propagating through a background plasma has been investigated both analytically and numerically. Small-signal coupled equations describing the evolution of the perturbations are derived, and the asymptotic solutions are obtained. The results are confirmed by direct numerical solution of the linearized fluid equations. It is found that the longitudinal beam compression strongly modifies the space-time development of the instability. In particular, the dynamic compression leads to a significant reduction in the growth rate of the two-stream instability compared to the case without an initial velocity tilt.

© 2006 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. UNPERTURBED PROPAGATION
  3. SMALL-SIGNAL EQUATIONS
  4. ASYMPTOTIC SOLUTION
  5. PHYSICAL DISCUSSION
  6. NUMERICAL SOLUTION
  7. CONCLUSIONS

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KEYWORDS and PACS

Keywords

plasma instability, electron beams, plasma-beam interactions, plasma electrostatic waves, numerical analysis

PACS

  • 52.35.Qz

    Microinstabilities (ion-acoustic, two-stream, loss-cone, beam-plasma, drift, ion- or electron-cyclotron, etc.)

  • 52.40.Mj

    Particle beam interactions in plasmas

  • 52.35.Fp

    Electrostatic waves and oscillations (e.g., ion-acoustic waves)

  • 02.60.Cb

    Numerical simulation; solution of equations

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2212807

PUBLICATION DATA

ISSN

1070-664X (print)  
1089-7674 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    E. A. Startsev and R. C. Davidson, New J. Phys. 6, 141 (2004)PHPAEN000010000005002078000001.

    P. K. Roy, S. S. Yu, E. Henestroza et al., Phys. Rev. Lett. 95, 234801 (2005).

    P. K. Roy, S. S. Yu, S. Eylon et al., Phys. Plasmas 11, 2890 (2004)PHPAEN000011000005002890000001.

    C. Thoma, D. R. Welch, S. S. Yu, E. Henestroza, P. K. Roy, S. Eylon, and E. P. Gilson, Phys. Plasmas 12, 043102 (2005)PHPAEN000012000004043102000001.

    R. C. Davidson, I. Kaganovich, H. Qin, E. A. Startsev, D. R. Welch, D. V. Rose, and H. S. Uhm, Phys. Rev. ST Accel. Beams 7, 114801 (2004).

    H. Qin, E. A. Startsev, and R. C. Davidson, Phys. Rev. ST Accel. Beams 6, 014401 (2003).

    E. P. Lee, Simon Yu, H. L. Buchanan, F. W. Chambers, and M. N. Rosenbluth, Phys. Fluids 23, 2095 (1980)PFLDAS000023000010002095000001.

    T. C. Genoni, D. V. Rose, D. R. Welch, and E. R. Lee, Phys. Plasmas 11, L73 (2004)PHPAEN000011000011000L73000001.

    I. Kaganovich, E. A. Startsev, and R. C. Davidson, Phys. Plasmas 11, 3546 (2004)PHPAEN000011000007003546000001.


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