ABSORPTION OF ACOUSTIC-WAVES IN MONOLITHIC AND FIBRIL SUNSPOT MODELS

It has been hypothesized that the observation of substantial absorption of acoustic power in the vicinity of sunspots may be explained by the transformation of acoustic oscillations into highly damped shear Alfven waves in thin resonant layers. Analytical estimates of the efficiency of this process (Hollweg, 1988) are compared with direct one-dimensional numerical simulations of absorption by a magnetic barrier in a viscous medium. After slight modification, the estimate is found to give a good approximation to the numerical absorption rate. Further calculations are performed for scattering from a magnetic field of fibril structure. Such models are better able to explain the spatial structure of the absorbing region implied by the observations. It is found that the existence of a multiplicity of surfaces at which resonant absorption occurs can considerably increase the total energy absorption coefficient. Resonant effects involving the multiple reflection of acoustic waves within such structures can also lead to enhanced absorption. Fibril models, therefore, produce significantly increased absorption over a wide range of plausible parameter values, and are a more plausible explanation for the observed p-mode scattered power deficit than resonant absorption in a monolithic structure.