Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...108...42k&link_type=abstract
Astronomy and Astrophysics, vol. 108, no. 1, Apr. 1982, p. 42-48. Deutsche Forschungsgemeinschaft
Astronomy and Astrophysics
Astrophysics
5
Chromosphere, Coherent Scattering, Difference Equations, Finite Difference Theory, Radiation Transport, Radiative Transfer, Astrophysics, Transfer Functions
Scientific paper
The calculus of finite differences is used to determine analytic solutions of the discretized equation of radiative transfer for coherent scattering in a medium with plane parallel geometry. The absorption fraction is assumed constant but the run of the Planck function is arbitrary. In an actual calculation only integration constants have to be determined from the boundary conditions. The method is applied to the calculation of the radiation field in a one-dimensional medium with absorption, conservative scattering, or non-conservative scattering. For infinitesimal step size the solution to the differential equation of transfer is recovered. The character of the solutions and the implications for numerical methods are discussed, and the extension of the method to noncoherent scattering with partial redistribution is indicated.
Kalkofen Wolfgang
Wehrse Rainer
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