Magnetoacoustic-gravity surface waves. II - Uniform magnetic field

Physics

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Gravity Waves, Magnetoacoustic Waves, Surface Waves, Wave Propagation, Differential Equations, Harmonics, Magnetic Fields, Magnetohydrodynamic Waves, Vibration Mode

Scientific paper

The dispersion relation is obtained for magnetoacoustic-gravity surface waves for the case of an isothermal interface and an upper region permeated by a uniform horizontal magnetic field. The Alfven speed increases exponentially with height at a rate half of that of the exponentially decreasing density. It is found that three surface modes may propagate on the interface. These modes are the fast and slow magnetoacoustic-gravity surface modes and the f-mode modified by the presence of the uniform magnetic field. Harmonic modes, somewhat akin to the usual p-modes in helioseismology but confined to the magnetic chromosphere, are also found. These modes occur again only when the field-free region is warmer than the magnetic medium. These are trapped modes resulting from the increasing Alfven speed with height into the atmosphere.

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