Microlensing in phase space I: Continuous propagation of variability moments

Details Microlensing in phase space I: Continuous propagation of variability moments Microlensing in phase space I: Continuous propagation of variability moments

2006-04-13

arxiv.org/abs/astro-ph/0604302v1

Mon.Not.Roy.Astron.Soc.370:91-104,2006

Astronomy and Astrophysics

Astrophysics

Accepted for publication in MNRAS. 15 pages, 4 figures. The second part of this little series is available at http://www.arx

Scientific paper

10.1111/j.1365-2966.2006.10441.x

A method to calculate the statistical properties of microlensing light curves is developed. The approach follows works by Deguchi & Watson, Seitz & Schneider and Neindorf, attempting to clarify the ideas involved and techniques used in the calculations. The method is then modified to include scattering by multiple lensing planes along the line of sight and transition to a continuous limit of this treatment for average quantities is performed leading to a Fokker-Planck type equation. The equation is solved for a particular model of the random star field and microlensing effect on the flux temporal variability is extracted. Applications in astrophysically relevant situations are discussed.

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