Kinetic theory of surface wave propagation along a hot plasma column
Abstract
In this paper we propose an exact solution of Vlasov and Maxwell's equations for a bounded hot plasma in order to derive the dispersion relation of the axiallysymmetric surface waves propagating along a plasma column. Assuming specular reflexion of plasma particles from the boundary, expressions for the components of the electric displacement vector are obtained on the basis of the Vlasov equation. Their substitution in Maxwell's equations, neglecting the spatial dispersion in the transverse plasma dielectric function, allows us to determine the plasma impedance. The equating of plasma and dielectric impedances gives the wave dispersion relation which, in different limiting cases, coincides with the wellknown results.
 Publication:

Journal of Plasma Physics
 Pub Date:
 August 1976
 DOI:
 10.1017/S0022377800020031
 Bibcode:
 1976JPlPh..16...47A
 Keywords:

 Electromagnetic Surface Waves;
 High Temperature Plasmas;
 Kinetic Theory;
 Plasma Cylinders;
 PlasmaElectromagnetic Interaction;
 Wave Dispersion;
 Electrical Impedance;
 Electron Beams;
 Maxwell Equation;
 Plasma Waves;
 PlasmaParticle Interactions;
 Specular Reflection;
 Vlasov Equations;
 Plasma Physics