The Physical Effects of Radiative Transfer in Multidimensional Media Including Models of the Solar Atmosphere

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Scientific paper

We review the astrophysical literature concerning radiative transfer in multidimensional media where one requires the solution of the transfer equation under scattering conditions for a medium in which some combination of boundary configuration, external illumination, and internal thermodynamic structure causes the radiation field to vary with more than one spatial dimension. In constant opacity atmospheres, the radiation field is shown to scale systematically with to a characteristic geometric scale for a wide variety of configurations and types of scattering. Some effects of radiative exchange between different regions of multidimensional media are reviewed, and the constraining influence of an exponential vertical variation of opacity is discussed. Particular emphasis is given to recent applications of multidimensional transfer to the interpretation of the fine spatial structure on the Sun.

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