Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.121..283a&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 121, no. 2, April 1986, p. 283-300.
Astronomy and Astrophysics
Astrophysics
Anisotropic Media, Incoherent Scattering, Line Spectra, Radiative Transfer, Absorption Spectra, Albedo, Continuous Spectra, Exponential Functions, Nonlinear Equations
Scientific paper
The functional analytic method of solution is applied to investigation of the radiative transfer equation is spectral lines. A problem of scattering in the spectral line with the frequency redistribution in anisotropic-scattering infinite and semi-infinite media is considered. Continuum absorption in the line is also taken into account. The solution is presented as the exponential function of the operator A and the functional calculus is developed. The eigenfunctions and the expansion coefficients, in terms of which the explicit solution is expressed, have been found. The nonlinear equation and the explicit expressions for the X-function are derived. The albedo problem with the determined expansion coefficients and the intensity of the emergent radiation is given as an example.
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