An analysis of the azimuthally symmetrical, high-frequency eigenmodes of a cylindrical metallic waveguide partially filled with a magnetized plasma is presented. Equations that permit calculation of the dispersion curves for four families of electromagnetic and electrostatic modes are derived. Numerical solutions are presented to facilitate the development of devices for generation of high-power electromagnetic radiation, charged particle acceleration, and other applications of plasma waveguides. The dependence of the cutoff frequencies, and dispersion curves of various modes on the ratio of the plasma radius a to the waveguide radius R is studied in detail. Space-charge modes are found to be strongly dependent on the radius ratio a/R. The coupling of the dispersion curves of different modes and the variation of the cutoff frequencies of HE waveguide and cyclotron modes with cyclotron frequency are illustrated for the partially filled waveguide.
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