Kinetic theory approach of the dispersion relation of a cylindrical magnetized plasma waveguide

The effect of a magnetized plasma column in a cylindrical waveguide is considered on the basis of Vlasof equation. The dispersion relation is obtained through the solutions of the wave equation in the plasma as well as the vacuum regions and the application of the appropriate boundary conditions. The magnetized plasma is considered as collisionless and nondegenerate. The equilibrium particle distribution is assumed to be Maxwellian for nondegenerate plasma. The results of the numerical analyses of this study are compared with the previous investigations in which the MHD equations are utilized for the dispersive characteristics of the waveguide.