Physics
Scientific paper
Oct 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983soph...88...77c&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 88, Oct. 1983, p. 77-102.
Physics
20
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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