On calculation of microlensing light curve by gravitational lens caustic

. For an analysis of microlensing observational data in case of binary gravitational lenses as well as for an interpretation of observations of high magnification events in multiple images of a lensed quasar it is necessary to calculate for a given source the microlensing light curve by a fold caustic. This problem comes to the numerical calculation of a singular integral. We formulated the sufficient condition of a convergence of the integral sum for this singular integral. The strictly approach to the problem of a comparison of model results with the unequally sampled observational data consists in calculation of the model light curve in equidistant points of the canonical dissection of the integration segment and a following interpolation of its values at the moments of observations. of many problems of and the search for close binaries, the measurement of angular diameters of stars, the investigation of brightness distributions across the stellar disks, the study of a fine spatial structure of active galactic nuclei (AGN). A new tool to achieving of a high angular resolution has been realized recently – the observations of gravitational microlensing.