Variability of microlensing light curves. 2: Magnification fluctuations, autocorrelation functions, and applications to QSO 2237+0305

Mathematics – Probability

Scientific paper

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Autocorrelation, Gravitational Lenses, Light Curve, Magnification, Quasars, Variability, Analysis (Mathematics), Deflection, Probability Distribution Functions, Probability Theory

Scientific paper

Using the method of correlated deflection probabilities of microlensed light rays, we show how to determine the magnification auto-correlation function and the magnification fluctuations in various microlensing situations. We compare our results with those obtained with other methods, and investigate the practical limitations inherent in the ray-shooting method: finite resolution, and the problem of fair sampling of the source plane. We apply our method to the observed light curve of the microlensed image A of Q2237+0305 and determine correlation times and magnification fluctuations. We conclude that it is possible to explain this light curve with low-mass lenses.

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