Radiative transfer equation in sphericallysymmetric nonscattering media.
Abstract
We solved the equation of radiative transfer in sphericallysymmetric shells with arbitrary internal sources. We integrated the equation of transfer on the discrete grid of angle and radius given by [μ_{j1}, μ_{j}] [r_{i1}, r_{i}]. The size in the angle coordinates is determined by the roots of a quadrature formula where as the size in the radial coordinate is determined by the nonnegativity of the reflection and transmission operators. We considered two cases of variation of the Planck function. (1) Constant throughout the medium and (2) varying as 1/r ^{2}. We find that in the inner shells, the radiation directed toward the centre of the sphere is more than that directed away from the centre of the sphere. In the outer shells the converse is true.
 Publication:

Astrophysics and Space Science
 Pub Date:
 December 1984
 DOI:
 10.1007/BF00649623
 Bibcode:
 1984Ap&SS.107..177P
 Keywords:

 Radiation Distribution;
 Radiative Transfer;
 Scattering Functions;
 Spherical Shells;
 Angular Distribution;
 Computational Grids;
 Plancks Constant;
 Run Time (Computers);
 Spheres;
 Physics (General);
 Radiative Transfer