Transverse propagation of waveguide modes in a cylindrically stratified magnetoplasma

An exact solution is given for the problem of a magnetic line source in the presence of an isotropic conducting cylinder which is surrounded by a concentric stratified plasma. The d-c magnetic field is alined with the cylindrical axis. The harmonic series representation is transformed to a more highly convergent form which facilitates computation for large cylinder radii. In this case, the field is expressed as a sum of modes which propagate around the cylinder in opposing directions. The presence of the d-c magnetic field destroys the usual azimuthal symmetry in problems of this type, it is indicated that the situation is somewhat analogous to the propagation of radio waves in a spherical earth-ionosphere system.