Determination of the relative populations from strong Fraunhofer line profiles by solving an inverse problem.

Astronomy and Astrophysics – Astrophysics

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Radiative Transfer, Methods: Numerical, Line: Profiles, Sun: Chromosphere, (Sun:) Sunspots

Scientific paper

Previous papers by the present authors suggest a technique for inversion of the measured profile of a strong chromospheric line to determine the relative populations of relevant atomic energy levels. The approximation of complete frequency redistribution was used earlier to prove the efficiency of the Tikhonov regularization method in solving such a problem. In the present paper, the inversion technique is generalized to the case of partial frequency redistribution and is verified through a numerical simulation under conditions close to the expected ones in the chromosphere above the sunspots. We find that the neglect of the PRD-effects when inverting the Ca II K-line profile gives an error of about 25-30%.

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