A Linearization Method for Solving Partial Redistribution Problems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

A linearization method for solving partial redistribution (PRD) problems is presented. The basic idea of this method, due to Cannon et al. (1975), is the evaluation of an approximate operator which corresponds to assuming that radiation is completely redistributed over the line profile. Using this approximate operator, corrections to the line-source function are obtained iteratively with very small amounts of computing time. The present method uses a Rybicki-type of elimination scheme which requires small core storage even when the number of frequency-angle points is large.
The linearization method for solving PRD problems is combined with the linearization method of Scharmer (1981) and Scharmer and Nordlund (1982), used to solve complete redistribution problems. This decreases the computing time required to solve a given problem.
These methods for solving PRD problems are particularly efficient when the number of frequency-angle points is large and can be used even on very small computers. Existing CRD programs for solving complete redistribution problems can easily be modified to incorporate PRD.

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