Numerical Modeling of the Absorption and Scattering of Acoustic Radiation by Sunspots

Astronomy and Astrophysics – Astronomy

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Sun: Magnetic Fields, Sun: Oscillations, Sun: Sunspots

Scientific paper

We present numerical calculations of the scattering of acoustic-gravity waves by a model sunspot consisting of an inhomogeneous, vertically magnetized region embedded in a polytropically stratified layer. The calculations show the transformation of incoming f-mode and p-mode power into downward-propagating, slow magnetoacoustic waves resulting in substantial absorption of incident f-modes and first-order p-modes and indicating that the slow-mode transformation model is a viable explanation for the observed absorption. In addition to absorption, we find large scattering phase shifts for the f-modes. Phase shifts are small for all p-modes. Coupling between modes of different radial order is generally small. The remaining differences between our results and the observations may constitute evidence that, if the mode transformation picture is correct, real sunspots must deviate significantly from the simple unidirectional field geometry we use here. In particular, we suggest that a sunspot consisting of a bundle of fibrils, in each of which the magnetic flux density increases rapidly with depth, would reproduce more closely the measured strong absorption and scattering of p-modes.

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