Microlensing of an Elliptical Source by a Point Mass

Details Microlensing of an Elliptical Source by a Point Mass Microlensing of an Elliptical Source by a Point Mass

1997-02-11

arxiv.org/abs/astro-ph/9702097v2

Astrophys.J. 490 (1997) 38-50

Astronomy and Astrophysics

Astrophysics

27 pages, 10 figures, to appear in ApJ, November 1997. Slight change in notation, added illustration of microlensing-induced r

Scientific paper

10.1086/304855

We present an efficient method for computing lightcurves of an elliptical source which is microlensed by a point mass. The amplification of an extended source involves a two-dimensional integral over its surface brightness distribution. We show that for a general surface brightness profile with an elliptical symmetry, this integral can be reduced to one dimension. We derive analytical results for the entire lightcurve in the limit of low (e.g. planetary) mass lenses, and for the wings of all microlensing lightcurves in general. In both cases, the lightcurve carries information about deviations of the source from elliptical symmetry, e.g. due to spots. The method is used to find the amplification of a circular red giant photosphere and an inclined accretion disk. We demonstrate that microlensing of an emission line from a disk can be used to infer the disk velocity structure and surface brightness profile.

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