Flux Tubes with a Thin Transition Layer: Scattering and Absorption Properties

Physics

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Scientific paper

In this paper, we use the T-matrix formalism to discuss the scattering and absorption properties of isolated flux tubes. We give a general expression for the T-matrix of a 1D flux tube in terms of the normal acoustic impedances for the different components of the acoustic wavefield. This shows how the (leaky and non-leaky) eigenmodes are related to those frequencies at which the normal acoustic impedances for the scattered and the transmitted wavefield are equal. We specify flux tubes with a uniform core, and a thin transition layer (TTL) where the equilibrium quantities change continuously to their photospheric levels. In this layer, resonant absorption can convert some of the incident acoustic power into heat. Using the Sakurai, Goossens, and Hollweg (1991) prescription to treat the resonance analytically in linear ideal MHD, we derive the analytic expression for the T-matrix of a TTL flux tube. From this expression, we show how leaky eigenmodes associated with the kink or tube speed of the uniform core of the TTL flux tube drastically influence the scattering and absorption properties. In particular, we point out that discrete leaky modes accumulating in the range of the ideal slow continuum, within the range of the ideal Alfvén continuum, can severely alter the absorption strengths. This is of immediate importance for thin magnetic flux tubes that are hotter than their immediate surroundings (magnetic elements and clusters of magnetic elements).

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