Linear models of acoustic waves in sunspot umbrae

Computer Science – Sound

Scientific paper

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Atmospheric Models, Solar Atmosphere, Solar Oscillations, Sound Waves, Stellar Models, Sunspots, Umbras, Chromosphere, Temperature Gradients, Wave Propagation

Scientific paper

The 5.5 to 8.5 mHz oscillations observed in umbral chromospheres and transition regions are interpreted as acoustic waves propagating parallel, or nearly parallel, to the temperature gradient. These waves are not totally internally reflected by the steep temperature gradient, and, thus, are not trapped. Partial reflections, however, are effective in modulating the transmission as a function of frequency. In a two-dimensional, linear, adiabatic treatment, the resonant transmission mechanism is found to produce a spectrum of resonances in the transmission of acoustic waves in any plane-parallel atmosphere with a temperature minimum. Since the observed umbral oscillations display power in only a narrow range of frequencies, characteristics of the umbral models, wave propagation, and observations that would tend to suppress the higher frequency resonances are examined.

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