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Physics of Plasmas / Volume 14 / Issue 3 / ARTICLES / Low-Temperature Plasmas, Plasma Applications, Plasma Sources, Sheaths

Phys. Plasmas 14, 033508 (2007); http://dx.doi.org/10.1063/1.2710464 (11 pages)

Multipactor in a coaxial transmission line. I. Analytical study

R. Udiljak1, D. Anderson1, M. Lisak1, V. E. Semenov2, and J. Puech3

1Department of Radio and Space Science, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
2Institute of Applied Physics, 603950 Nizhny Novgorod, Russia
3Centre National d’Études Spatiales, 31401 Toulouse, France

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(Received 17 November 2006; accepted 26 January 2007; published online 28 March 2007)

Theoretical considerations of the electron multipactor have mostly been restricted to the simplified case of plane-parallel geometry with a uniform field. However, a nonuniform field may not only affect the results quantitatively, but may also lead to qualitatively new effects. In the present work, the effects of a nonuniform radiofrequency field on the properties of multipactor initiation are analyzed in the case of a cylindrical coaxial transmission line. A useful approximate solution of the nonlinear differential equation of motion for the electrons is derived and simple analytical estimates are developed to show that in this system the multipactor mechanism becomes qualitatively different for sufficiently small inner coaxial radii. When the inner radius is of the order of the outer one, the multipactor properties are very similar to those of its counterpart in plane-parallel geometry. However, when the inner radius is less than a certain threshold value, single-surface multipactor becomes possible.

© 2007 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. MODEL AND APPROXIMATIONS
  3. APPLICATION OF THE MULTIPACTOR RESONANCE THEORY
    1. Double-sided multipactor
    2. Single-sided multipactor
    3. Scaling laws
  4. DISCUSSION
  5. CONCLUSIONS

EDITORIALLY RELATED

  1. Multipactor in a coaxial transmission line. II. Particle-in-cell simulations
    V. E. Semenov et al.
    Phys. Plasmas 14, 033509 (2007)PHPAEN000014000003033509000001

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KEYWORDS and PACS

Keywords

transmission lines, high-frequency discharges, plasma transport processes, nonlinear differential equations

PACS

  • 52.80.Pi

    High-frequency and RF discharges

  • 52.25.Fi

    Transport properties

  • 84.40.Az

    Waveguides, transmission lines, striplines

  • 02.30.Hq

    Ordinary differential equations

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2710464

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.
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    F. Höhn, W. Jacob, R. Beckmann, and R. Wilhelm, Phys. Plasmas 4, 940 (1997)PHPAEN000004000004000940000001.

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    R. A. Kishek, Y. Y. Lau, and D. Chernin, Phys. Plasmas 4, 863 (1997)PHPAEN000004000003000863000001.

    A. Kryazhev, M. Buyanova, V. Semenov, D. Anderson, M. Lisak, J. Puech, L. Lapierre, and J. Sombrin, Phys. Plasmas 9, 4736 (2002)PHPAEN000009000011004736000001.

    A. Sazontov, M. Buyanova, V. Semenov, E. Rakova, N. Vdovicheva, D. Anderson, M. Lisak, J. Puech, and L. Lapierre, Phys. Plasmas 12, 053102 (2005)PHPAEN000012000005053102000001.

    R. Woo, J. Appl. Phys. 39, 1528 (1968)JAPIAU000039000003001528000001.

    V. Semenov, V. Nechaev, E. Rakova, N. Zharova, D. Anderson, M. Lisak, and J. Puech, Phys. Plasmas 12, 073508 (2005)PHPAEN000012000007073508000001.


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