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 dispers
ion curves for four families of electromagnetic and electrostatic mode
s are derived. Numerical solutions are presented to facilitate the dev
elopment of devices for generation of high-power electromagnetic radia
tion, charged particle acceleration, and other applications of plasma
waveguides. The dependence of the cutoff frequencies, and dispersion c
urves of various modes on the ratio of the plasma radius a to the wave
guide radius R is studied in detail. Space-charge modes are found to b
e strongly dependent on the radius ratio a/R. The coupling of the disp
ersion curves of different modes and the variation of the cutoff frequ
encies of HE waveguide and cyclotron modes with cyclotron frequency ar
e illustrated for the partially filled waveguide.