Line transfer with complete frequency redistribution in an absorbing medium - Scaling laws and approximation

Details Line transfer with complete frequency redistribution in an absorbing medium - Scaling laws and approximation Line transfer with complete frequency redistribution in an absorbing medium - Scaling laws and approximation

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...149..372f&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 149, no. 2, Aug. 1985, p. 372-382.

Statistics

Computation

3

Absorption Spectra, Approximation, Frequency Distribution, Planetary Nebulae, Resonance Lines, Scaling Laws, Asymptotic Methods, Computational Astrophysics, Cosmic Dust, Doppler Effect, Radiative Transfer, Spectral Line Width, Thermodynamics, Voigt Effect

Scientific paper

This paper discusses the influence of a continuous absorption produced by dust grains or photoionization on subordinate or weak resonance lines. The lines are being formed with complete Doppler or Voigt frequency redistribution in a one dimensional slab of finite thickness. An asymptotic analysis in the limit of small β (ratio of continuum to line opacity coefficient) shows that the large scale behaviour of the radiation field is described by a singular integral equation identical to that obtained by Frisch and Frisch (1977) for collisional destruction, but with an exponentially decreasing kernel in the case of the Voigt profile. Asymptotic scaling laws for the mean path length, the mean number of scatterings and the fraction of created photons which escapes the medium are given in the limits of weak and strong absorption. A first order escape probability method is used to evaluate net radiative brackets and line cooling rates, taking into account a possible emission by the continuum in the frequency domain of the line. Finally, a definition of the mean number of scatterings properly incorporating this emission term is proposed.

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