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Plasma Physics Reports

, Volume 33, Issue 7, pp 543–552 | Cite as

Resonant effect of the noncircular shape of the plasma surface on the dispersion properties of extraordinary azimuthal surface modes in magnetoactive waveguides

  • O. I. Girka
  • V. O. Girka
  • I. O. Girka
  • I. V. Pavlenko
Plasma Oscillations and Waves

Abstract

A theoretical study is made of the resonant effect of the shape of the cross section of the plasma column on the propagation of a packet of extraordinary electromagnetic waves with a zero axial wavenumber in a circular-cross-section cylindrical metal waveguide in an axial magnetic field. The waveguide is assumed to be partially filled with a plasma. The effect of the noncircular shape of the plasma cross section on the dispersion properties of surface eigenmodes propagating strictly transverse to the external magnetic field is investigated by the method of successive approximations for the case in which the angular period of the wave perturbations is twice the ripple period of the interface between the plasma and the dielectric. In this resonant case, the fields and eigenfrequencies of the eigenmodes are determined to second order in the small parameter describing the rippling of the plasma-dielectric interface.

PACS numbers

52.35.-g 52.40.Fd 

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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • O. I. Girka
    • 1
  • V. O. Girka
    • 1
  • I. O. Girka
    • 1
  • I. V. Pavlenko
    • 1
  1. 1.Karazin Kharkiv National UniversityKharkivUkraine

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