关于磁声重力波传播性质的探讨

本文对充满垂直均匀磁场的等温大气内的磁声重力波做了严格的解析分析,并将其通解表述成广义超几何函数的形式。该解可用于对磁大气内振荡现象的进一步数值模拟研究。对解的分析澄清了若干磁声重力波的传播性质。

On the Propagation of Magneto-acoustic-gravity Waves

An analysis of magneto-acoustic-gravity waves in the case of an isothermal atmosphere permeated by a uniform magnetic field is presented here, and the general solutions are reduced to generalized hypergeometrie functions. These solutions can be used for further numerical simulations of oscillations in a magnetic atmosphere.It is shown that, the elliptically polarized magneto-acoustic-gravity waves consist of a pair of surface waves and a pair of body waves above cut-off frequency. Along the magnetic field the body waves are similar to acoustic waves in an atmosphere, and their cut-off frequency is unaffected by the magnetic field. The transverse oscillation decreases with height. At usual boundary condition the longitudinal oscillation decreases with height, however, sometimes it can contain terms which increase with height. The solution of magneto-acoustic-gravity waves possess singularities which are located on a group of ellpses in the frequency and horizontal wave number plane. For the points near the singularity ellipres the corresponding wave components will enhance tremendously.