Mathematics
Scientific paper
Sep 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975a%26a....42..347c&link_type=abstract
Astronomy and Astrophysics, vol. 42, no. 3, Sept. 1975, p. 347-353. Research supported by the Australian Research Grants Commit
Mathematics
11
Angular Distribution, Perturbation Theory, Photons, Radiative Transfer, Scattering Functions, Spectral Line Width, Absorption Cross Sections, Computer Techniques, Electromagnetic Absorption, Frequency Distribution, Iterative Solution, Scattering Cross Sections, Series (Mathematics)
Scientific paper
A method referred to as redistribution perturbation technique is proposed for solving the transfer equation for spectral line radiation involving the redistribution of both photon angle and frequency at a photon scattering event. The technique is formulated for the integrodifferential and integral representations of the transfer equation. Essentially, the technique starts with a zero-order solution obtained from the equation of radiative transfer where complete redistribution holds, then the first- and higher-order terms are derived from a perturbation series which is shown to converge very quickly. The method allows a considerable saving in computer time and storage for problems in which redistribution plays an important part.
Cannon Joseph C.
Lopert P. B.
Magnan Christian
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