The theory of high-frequency guided waves in a plasma-loaded waveguide
is presented. The formulation is based on kinetic theory, The theory
Includes the effects of finite electron/ion temperatures and radial gr
adients in the plasma density and particle temperatures. The inclusion
of gradients into the formalism results in three, coupled, second-ord
er, ordinary differential equations in the plasma fields, These equati
ons show a singularity on the plasma axis (r=0); regularization of the
field equations at the singular Feint leads to constraints on the pla
sma fields that yield the necessary boundary conditions at r=0. Using
the vacuum solutions, and the boundary conditions at r=0 and the plasm
a-vacuum interface, the field equations are solved as a two-point boun
dary-value problem, The numerical methods used are also discussed. Sol
utions are presented in the form of dispersion curves (plots of upsilo
n(phase) vs omega/Omega(e)) and radial profiles of the field polarizat
ions for the m=+/-1 modes near electron cyclotron resonance (ECR). (C)
1998 American Institute of Physics.