Statistics – Computation
Scientific paper
Jul 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984sva....28..405i&link_type=abstract
(Astronomicheskii Zhurnal, vol. 61, July-Aug. 1984, p. 691-699) Soviet Astronomy (ISSN 0038-5301), vol. 28, July-Aug. 1984, p. 4
Statistics
Computation
1
Approximation, Computational Astrophysics, Line Spectra, Radiation Distribution, Radiative Transfer, Atmospheric Attenuation, Optical Thickness
Scientific paper
A critical analysis is given of several approximate solutions to the equation of line-radiation transfer in a plane, static atmosphere, assuming complete frequency redistribution. The relationship between the first- and second-order escape probability (L1, L2) approximations is explained. The F approximation of U. and H. Frisch and the C squared approximation of Puetter et al. (1982) are discussed as well. Using Rybicki's (1977) quadratic Q-integral it is shown that L1 is intimately related to F and C squared. The assumption underlying F, C squared is brought out explicitly for the first time. If the primary source function S-asterisk(pi) is indeed depth-dependent, then F, C squared, unlike L2, may introduce enormous error.
Ivanov Valentin
Serbin V. M.
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