The propagation of space-charge waves through a coaxial waveguide cont
aining an annular plasma in an axial magnetic field is investigated. B
oth plasma and cyclotron types of waves are analyzed in the electrosta
tic approximation. Equations for the determination of the dispersion r
elations are derived from the Poisson equation and the electron contin
uity and momentum transfer equations. A numerical study of the dispers
ion curves for azimuthally symmetrical waves is presented. A significa
nt departure from the dispersion characteristics of a cylindrical plas
ma waveguide are found to occur unless the inner radius of the wavegui
de is small compared to the outer radius. (C) 1998 American Institute
of Physics.