Resonance excitation of standing Alfven waves in an axisymmetric magnetosphere (monochromatic oscillations)

A theoretical study is made of the phenomenon of standing Alfven wave resonance excitation by a monochromatic fast magnetosound in an axisymmetric model of the magnetosphere. A theory is developed which includes the Alfven and magnetosound wave relationship, transverse and longitudinal inhomogeneities of the medium, the weak transverse dispersion of Alfven waves and their dissipation on the ionosphere. General formulae are derived which describe the spatial structure of a monochromatic Alfven wave. These formulae are specified for all physically differing cases of the behaviour of magneto-spheric parameters. An analysis is made of the back influence of an Alfven wave on a magnetosound field.