Discrete frequency scattering in spherical layers surrounding a point source

Details Discrete frequency scattering in spherical layers surrounding a point source Discrete frequency scattering in spherical layers surrounding a point source

Jun 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..35..137t&link_type=abstract

Astrophysics and Space Science, vol. 35, June 1975, p. 137-149.

Mathematics

Astronomical Models, Electromagnetic Scattering, Point Sources, Solar Atmosphere, Atmospheric Stratification, Integral Equations, Isotropic Media, Kernel Functions, Series (Mathematics), Voigt Effect

Scientific paper

The scattered radiation field in homogeneously absorbing and isotropically scattering spherical layers is studied, when the isotropic point source is at the center. A complete frequency redistribution is assumed. It is shown that on the inner boundary r = R-0 of the cavity, when R-0 is much greater than 1 (all radii are expressed in path lengths), the source function B for the Doppler profile approximately equals the inverse square root of the natural log of R-0, all over R-0, and that B approximately equals R-0 to the minus 3/2 power for the Voigt and Lorentz profiles. The asymptotical behavior of the source function B(r) significantly differs from the analogous behavior of the solution for an infinite medium.

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