Magnetoacoustic-gravity surface waves. I - Constant Alfven speed

Physics

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Gravitational Fields, Magnetoacoustic Waves, Surface Waves, Wave Propagation, Brunt-Vaisala Frequency, Magnetic Fields, Magnetohydrodynamic Waves, Polynomials

Scientific paper

Magnetoacoustic surface waves in a gravitationally stratified atmosphere permeated by a magnetic field are relevant to a variety of solar studies. This paper considers the propagation of magnetoacoustic-gravity surface waves parallel to an applied horizontal magnetic field at an isothermal magnetic interface one side of which is field-free and which has a field strength which varies with height in such a manner than the Alfven speed is constant. The dispersion relation and the effect of gravity on the modes are examined and dispersion diagrams and eigenfunctions are given. In the omega-k(x) diagnostic diagram, the domain of evanescence is shown to be divided into two distinct regions determining whether a given mode will have a decaying or growing vertical velocity component. In the absence of a magnetic field the transcendental dispersion relation may be rewritten as a polynomial with two acceptable solutions. It is shown that the f-mode is related to the fast magnetoacoustic surface wave.

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