Reconstruction of the brightness distribution across a stellar disk from gravitational lensing caustic passage observations |
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| Authors: | M B Bogdanov A M Cherepashchuk |
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| Institution: | (1) Chernyshevskii University, Saratoy, Russia;(2) Sternberg Astronomical Institut, Universitetskii pr. 13, Moscow, 119899, Russia |
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| Abstract: | This paper describes a method for analyzing observations of the passage of a star through a gravitational lensing caustic that enables the derivation of information about the brightness distribution across the stellar disk without knowledge of the lens parameters. The ill-posed inverse problem of reconstructing a one-dimensional strip brightness distribution across the stellar disk is solved using a regularization method, taking into account the non-negative nature of this function. Assuming the source is circularly symmetric, the search for the radial brightness distribution is carried out over compact sets of upward-convex, non-negative functions or functions that do not grow with distance from the stellar center. The method is used to analyze the gravitational microlensing event MACHO 98-SMC-1, of a star in the Small Magellanic Cloud, obtained by the PLANET international group. The resulting brightness distribution is compared with computations of limb darkening for model stellar atmospheres. |
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