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Gravitational microlensing source limb-darkening and limb-polarization,~I: angle-averaged amplification functions

Norman Gray
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Abstract

There is increasing interest in extended source effects in microlensing events, as probes of the unresolved sources. Previous work has either presumed a uniform source, or else required an approximate or numerical treatment of the amplification function averaged over the source disk. In this paper, I present analytic expressions for the angle-averaged amplification functions for the rotationally-symmetric intensity and polarization cases. These integrals will allow us to use the technology of inverse problems to study the source limb-darkening and limb-polarization functions.

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Norman Gray. 2000-01-20. Gravitational microlensing source limb-darkening and limb-polarization,~I: angle-averaged amplification functions. https://arxiv.org/abs/astro-ph/0001359

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