Physics – Optics
Scientific paper
Jan 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jqsrt..23...73s&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 23, Jan. 1980, p. 73-81.
Physics
Optics
4
Atmospheric Optics, Atmospheric Scattering, Radiative Transfer, Celestial Sphere, Opacity, Scale Height, Stellar Atmospheres, Transfer Functions
Scientific paper
Non-conservative transfer problems are conceptually more complicated than the conservative ones because the source function introduces a new scale height. This problem is especially important in spherical geometry, where, due to the curvature of the layers, one must also take into account the scale height of the opacity. With the introduction of the auxiliary variables mu sub c and mu sub r it has been possible to obtain very simple linear closure relations for the mu moment system; mu sub c is the cosine of the critical zenithal angle theta, from which the intensity peak appears; mu sub r is an intermediate value of mu between mu sub c and 1 which permits an explanation of the geometrical dilution and leads easily to a peaking linear relation. With these closure reactions, the moment system for different opacity laws and source functions which represent many cases of astrophysical interest has been solved. Likewise, the quality of the results is compared for different orders of approximation.
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