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Paper   IPM / Physic / 6689
School of Physics
  Title:   Theory of High-Frequency Waves in A Coaxial Plasma Waveguide
  Author(s): 
1.  B. Maraghechi
2.  B. Farrokhi
3.  J.E. Willett
  Status:   Published
  Journal: Phys. Plasmas
  No.:  55
  Vol.:  6
  Year:  1999
  Pages:   3778-3787
  Supported by:  IPM
  Abstract:
An analysis of the high-frequency eigenmodes of a coaxial waveguide containing a magnetized annular plasma column is presented. A transcendental equation is derived from the boundary conditions in the form of an eighth-order determinant equated to zero. Simultaneous solution of this determinantal equation and a polynomial equation derived from the wave equation yields the dispersion relation for the eigenmodes. By reduction of the order of the determinant the appropriate transcendental equation is easily obtained for some special cases, e.g., partially filled coaxial waveguide. The electrostatic treatment of a coaxial cylindrical waveguide is also presented. The corresponding transcendental equation is reduced to some special cases, e.g., conventional waveguide containing an annular plasma column under electrostatic approximation. Numerical solutions are obtained for some azimuthally symmetric EH (perturbed TM) and HE (perturbed TE) waveguide modes, cyclotron modes, and space-charge modes. A strong dependence of the frequencies of these electromagnetic/electrostatic waves on the radii of the coaxial waveguide and the plasma column is revealed.

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