Operator perturbation method for multi-level line transfer with partial redistribution

Computer Science – Numerical Analysis

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Line Spectra, Perturbation Theory, Radiative Transfer, Solar Atmosphere, Absorptivity, Calcium, Iterative Solution, Numerical Analysis

Scientific paper

A numerical method for solving radiative transfer problems with partial frequency redistribution (PR) is presented. The method permits full multilevel non-LTE solutions in plane parallel atmospheres, and is based on the operator perturbation method of Scharmer and Carlsson (1985). In this paper the formalism of the method, including generalized redistribution functions is presented. As an example, line source functions and line profiles of the Ca II K and 8542 A infrared line are computed for various solar atmospheric models. A comparison is made between PR profiles obtained with and without accounting for cross-redistribution between these two lines. The method appears to be reliable and to have all the favorable properties of the CR method of Scharmer and Carlsson.

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