Umbral oscillations in the presence of a spreading magnetic field

Physics

Scientific paper

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Atmospheric Models, Solar Magnetic Field, Solar Oscillations, Umbras, Boundary Value Problems, Chromosphere, Lines Of Force, Photosphere, Stellar Models

Scientific paper

A simple umbral model incorporating spreading magnetic field lines is introduced, and the equations governing Magneto-Acoustic-Gravity (MAG) and Alfvén modes are derived. In the absence of stratification analytic solutions may be found. For the MAG modes, under coronal conditions, these consist of a travelling (slow) wave and an evanescent (fast) mode, whilst the Alfvén solution may be expressed in terms of a Hankel function. These are matched onto numerical solutions in a stratified model photosphere-chromosphere, and the vertical energy fluxes are calculated. Resonant frequencies are generally found to be shifted downwards compared with the vertical field case.

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