Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978afz....14..111g&link_type=abstract
Astrofizika, vol. 14, Feb. 1978, p. 111-121. In Russian.
Astronomy and Astrophysics
Astrophysics
5
Astrophysics, Diffuse Radiation, Isotropic Media, Point Sources, Radiative Transfer, Stellar Spectrophotometry, Asymptotic Methods, Doppler Effect, Galactic Nuclei, Integral Equations, Laplace Transformation, Photonic Propulsion, Quasars, Resonance, Thermalization (Energy Absorption), Velocity Distribution
Scientific paper
Radiative transfer of resonance-line emission in an infinite homogeneous medium undergoing isotropic expansion with a constant velocity gradient of much less than unity is analyzed. It is assumed that the single-scattering albedo is equal to unity and that scattering occurs with complete frequency redistribution in the comoving frame for Doppler and power-law absorption-factor profiles. The asymptotic behavior of the resolvent function is examined for the two absorption-factor profiles; the solution of the basic integral equation is expressed in terms of this resolvent function. Asymptotic solutions to the basic equation are obtained for certain special primary-source distributions, including a spherically symmetric exponential distribution, a uniform distribution within a sphere of finite radius, and an isotropic point source.
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