Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...216..310u&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 216, no. 1-2, June 1989, p. 310-314.
Astronomy and Astrophysics
Astrophysics
17
Distribution Functions, Resonance Lines, Scattering Functions, Spectral Energy Distribution, Stellar Atmospheres, Stellar Spectra, Doppler Effect, Nonequilibrium Thermodynamics, Radiative Transfer, Spectrum Analysis, Spline Functions
Scientific paper
The approximations of Gouttebroze (1986) for the frequency redistribution function RII(nu1,nu2) have been generalized to obtain a redistribution function PII(nu1,nu2) which models the coherent (in the atom's frame) scattering between two different spectral lines. Three regimes of the emission frequency are treated, a core region (where the distance, x2, from the line center in units of Doppler width is less than 2), a wing region (where x2 is greater than 4), and a transition region (where x2 is between 2 and 4, inclusively). An efficient method for evaluating the associated scattering integral is proposed which is based on these approximations, the spline representation method of Adams et al. (1971), and a Gauss-Hermite quadrature for the integration of the exponentially decaying parts of PII.
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