Abstract

Electromagnetic-wave propagation for axisymmetric and dipolar modes in a circularly cylindrical waveguide containing a plasma column in an infinite axial magnetic field is studied. The plasma column is assumed to be cold, collisionless, and of uniform density, with a diameter one-half the diameter of the waveguide. Numerical solutions of the dispersion equation for typical cases at various values of the plasma density are presented. The electric field and power-flow density distribution are examined quantitatively for representative modes with reference to the existence of surface waves. It is shown that for an infinite magnetic field the high-frequency field distribution within the plasma can be a modified Bessel function of the first kind only for the superluminous phase velocities and only at plasma frequencies that exceed the lowest vacuum waveguide cutoff frequency. For slow waves of very short wavelength, ω/c≪2π/λg, the electromagnetic field and the power-flow density distribution are found to be confined to the plasma column with practically no field existing in the vacuum between the plasma and the waveguide wall.

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