Spectral characteristics of hydromagnetic waves in the magnetosphere

Physics – Plasma Physics

Scientific paper

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Earth Magnetosphere, Geomagnetism, Magnetohydrodynamic Waves, Plasma Frequencies, Spectral Signatures, Atmospheric Models, Cylindrical Plasmas, Eigenvectors, Kelvin-Helmholtz Instability, Perturbation Theory

Scientific paper

The presence of discrete frequencies in the resonant response of the magnetosphere is considered. The eigenequation characterizing the eigenmodes of the hydromagnetic waves in a cylindrical model for the outer magnetosphere is shown to have two turning points along the radial axis. The turning point locations are related to the values of the eigenperiod and the associated east-west wavenumber of the eigenmode. It is also found that only the discrete set of the magnetospheric cavity eigenmodes can efficiently couple the perturbations excited on the boundary of the magnetosphere to the field-line resonant mode excited inside the turning point of the cavity eigenmode.

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