Theory of wave propagation along waveguide filled with plasma in finite magnetic field

Abstract

Rigorous analytical theory of wave propagation along a cylindrical waveguide filled with plasmas in a dielectric tube immersed in finite magnetic field is presented. The field components' expressions, eigenvalues, dispersion equations and complex wave power transmission equations have been obtained rigorously and discussed in detail. It is shown analytically that there is no disruption of the wave propagation in the ECR (omega = omega(oe)) case, although the electrical permittivities approach to infinite in the case, and it has been found that a real resonance takes place in this case while omega = (omega(oe)(2) + omega(pe)(2))(1/2), in which the wave propagation of any mode is broken. The effective collisions are taken into consideration in the theory. Based on the above theory, the analytical theory of corrugated plasma waveguide immersed in finite axial magnetic field is also presented. The Floquet's expansion of field components, the dispersion equations, and the coupling coefficients of the corrugated plasma waveguide have been derived rigorously and discussed in detail.