Tikhonov stabilizers in inverse problems of spectral studies

Physics

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Scientific paper

Results of the reproduction of parameter stratification in the solar or a star atmosphere models, which are based on Fraunhofer line profiles, depend on starting guesses. Solutions feature substantial oscillations. We suggest specific Tikhonov stabilizers substitution of which into a corresponding merit function enables one to decrease substantially the dependence of the reproduced parameters on the starting guesses, to eliminate practically solution oscillations and to obtain both LTE and non-LTE semiempirical models of inhomogeneities including those of the solar granulation. Based on profiles with a high spatial resolution, the temperature stratification in granules and intergranules was obtained. It is shown that the first temperature inversion in the solar granulation occurs at heights of 50 to 180 km.

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