Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984azh....61..900i&link_type=abstract
(Astronomicheskii Zhurnal, vol. 61, Sept.-Oct. 1984, p. 900-912) Soviet Astronomy (ISSN 0038-5301), vol. 28, Sept.-Oct. 1984, p.
Astronomy and Astrophysics
Astronomy
5
Approximation, Atmospheric Scattering, Line Spectra, Radiative Transfer, Doppler Effect, Exponential Functions, Kernel Functions, Spatial Filtering
Scientific paper
The transfer of line radiation in a two-level atom is investigated theoretically, continuing the analysis of Ivanov and Serbin (1984) and evaluating the second-order semiinfinite-atmosphere escape-probability approximations of Ivanov (1971) and Frisch and Frisch (1975), designated L2 and F, respectively, in detail. Topics considered include the basic equations, the filtration of spatial frequencies for multiple scattering, fundamental and standard problems, numerically exact solutions by kernel approximation, the accuracy of L2 and F, and exponential sources. Over the entire range of values of the Voigt parameter a, the error of L2 is shown to remain below 40 percent, while order-of-magnitude errors occur when F is applied at high values of tau.
Ivanov Valentin
Serbin V. M.
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