Radiative transfer in cylindrical objects by the discrete ordinate method

Astronomy and Astrophysics – Astrophysics

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Cylinders, Mathematical Models, Radiative Transfer, Bessel Functions, Coronal Loops, Frequency Distribution, Solar Prominences

Scientific paper

The discrete ordinate method of Wick-Chandrasekhar may be extended to the case of radiative transfer in infinitely long cylinders, in the Eddington approximation. The only important modification consists in replacing the exponentials by modified Bessel functions. As in the cases of planar or spherical geometries, the method is restricted to homogeneous media. The method may be used to obtain a rapid insight in radiative transfer phenomena arising for instance in solar prominences or coronal loops, or to check the precision of more complicated numerical methods. It may be easily extended to partial redistribution problems.

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