Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004ap.....47..412n&link_type=abstract
Astrophysics (English translation of Astrofizika), v. 47, Issue 3, p. 412-421 (2004).
Astronomy and Astrophysics
Astrophysics
Radiative Transfer, Methods Analytical, Methods Numerical, Radiative Transfer - Methods Analytical - Methods Numerical
Scientific paper
The approach proposed in the previous parts of this series of papers is used to solve the radiative transfer problem in scattering and absorbing multicomponent atmospheres. Linear recurrence relations are obtained for both the reflectance and transmittance of these kinds of atmospheres, as well as for the emerging intensities when the atmosphere contains energy sources. Spectral line formation in a one-dimensional inhomogeneous atmosphere is examined as an illustration of the possibility of generalizing our approach to the matrix case. It is shown that, in this case as well, the question reduces to solving an initial value problem for linear differential equations. Some numerical calculations are presented.
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