DETERMINING THE INTENSITY OF A POINT-LIKE SOURCE OBSERVED ON THE BACKGROUND OF AN EXTENDED SOURCE

Abstract

The problem of determining the time dependence of intensity of a point-like source in case of atmospheric blur is formulated and solved by using the Bayesian statistical approach. A pointlike source is supposed to be observed on the background of an extended source with constant in time though unknown brightness. The equation system for optimal statistical estimation of the sequence of intensity values in observation moments is obtained. The problem is particularly relevant for studying gravitational mirages which appear while observing a quasar through the gravitational field of a far galaxy.

Keywords

• gravitational lensing
• bayesian statistical approach
• optimum estimate