Astronomy and Astrophysics – Astrophysics – Galaxy Astrophysics
Scientific paper
2011-10-10
Astronomy and Astrophysics
Astrophysics
Galaxy Astrophysics
15 pages
Scientific paper
We consider wave optics effects in the case of microlensing of an extended Gaussian source by a point mass under standard assumptions about the incoherent emission of the source elements. We obtain analytical expressions for the power spectrum of the microlensed radiation, which are convenient to obtain asymptotic formulae in the case of a large source. If the source centre, the lens and the observer are on a straight line, the power spectrum is presented in a closed form in terms of the hypergeometric function. In case of a general location of the lens and the source the expression for the power spectrum is presented in a form of a series. In the high frequency limit the results lead to usual expressions of the geometric optics. Approximate expressions for the power spectrum in case of a large source and high frequencies are obtained.
Gorpinchenko D. V.
Zhdanov Valery I.
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