Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985azh....62..272s&link_type=abstract
(Astronomicheskii Zhurnal, vol. 62, Mar.-Apr. 1985, p. 272-282) Soviet Astronomy (ISSN 0038-5301), vol. 29, Mar.-Apr. 1985, p. 1
Astronomy and Astrophysics
Astrophysics
2
Astrophysics, Atmospheric Radiation, Line Spectra, Optical Thickness, Radiative Transfer, Approximation, Asymptotic Properties, Error Analysis
Scientific paper
Several approximate methods for calculating the line source function are studied for the case of a plane-parallel, homogeneous, motionless atmosphere of finite optical thickness. Complete frequency redistribution is assumed. The L2 (Ivanov), C-squared (Puetter et al.), and M (Abramov et al.) approximations are compared against numerically precise solutions of the source-function integral equation as well as the exact asymptotic solutions. For specified conditions, the L2 and M approximations ensure high accuracy (within a factor 2), whereas C-squared may yield the wrong order of magnitude, especially if the primary-source power varies rapidly with depth in the atmosphere.
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