On the propagation of magneto-acoustic-gravity waves

Statistics – Computation

Scientific paper

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Gravity Waves, Magnetoacoustic Waves, Solar Atmosphere, Solar Magnetic Field, Wave Propagation, Atmospheric Temperature, Computational Astrophysics, Polarization Characteristics, Surface Waves

Scientific paper

An analysis of magnetoacoustic-gravity waves in the case of an isothermal atmosphere permeated by a uniform magnetic field is presented. The general solution is expressed in terms of generalized hypergeometric functions. It can be used in numerical simulation of oscillations in a magnetic atmosphere. It is shown that the elliptically polarized magnetoacoustic-gravity wave consist of a pair of surface waves and a pair of body waves above the cut-off frequency. The body waves along the magnetic field are similar to acoustic waves in an atmosphere, and their cut-off frequency is unaffected by magnetic field. The transverse oscillation decreases with height. For the usual boundary condition, the longitudinal oscillation decreases with height; however, in some cases, it may contain terms that increase with height. The solution is singular on a family of ellipses in the frequency - horizontal wave number plane. Near these ellipses, the wave components grow indefinitely.

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