Structure of magnetospheric MHD resonances for moderate 'azimuthal' asymmetry

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Atmospheric Models, Earth Magnetosphere, Magnetohydrodynamic Waves, Plasma Resonance

Scientific paper

The structure of coupled resonance solutions of the time-dependent hydromagnetic equations for an axial ('azimuthal') wavenumber m = 10 is numerically analyzed, and, by comparing with earlier results for different m values, it is shown that the properties predicted in the solutions are consistent with the qualitative results of other authors. In particular, it is clear that the separation between the 'reflection point' of the global resonance and the 'coupling point' with the local field-line resonance is dependent on m, and determines the relative importance of field-line resonances, the shapes of the coupling efficiency curves with varying m, and the damping rates of the global modes. It is also pointed out that the numerical Laplace transform inversion method used to solve the coupled equations does not give reliable results for m significantly larger than 10.

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