Theory of field line resonances of standing shear Alfven waves in three-dimensional inhomogeneous plasmas

Physics

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Cold Plasmas, Geomagnetic Pulsations, Magnetohydrodynamic Waves, Nonuniform Plasmas, Resonance Lines, Standing Waves, Eigenvectors, Magnetic Field Configurations, Plasma Density, Resonant Frequencies, Satellite Observation, Three Dimensional Models

Scientific paper

Field line resonances of Alfven waves in a rectangular box model with a straight uniform magnetic field but three-dimensionally varying density are analyzed. Field line resonances are shown to exist even with this nonuniformity. For a given wave frequency the surface on which the resonance occurs and can be constructed, to the local form of the singular solution derived. Magnetic perturbations are found to lie predominantly in the resonant surface. In the presence of azimuthal inhomogeneities the present theory could explain why some satellite measurements show geomagnetic pulsations of comparable magnitude in radial and azimuthal components.

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