On a numerical method of a diffraction theory inverse problem solving

A method of a numerical solving of the Kirchoff scalar diffraction theory inverse problem is discussed. This technique is known as the method of a synthetic aperture and its application for the image constructing in side looking radars placed on the flying supporters is in wide use. But here it is applied for achieving images of dielectric medium inhomogeneities using the data of the subsurface scanning with the multifrequency electromagnetic pulses. In the work presented here a short description of the method and construction of the appropriate computational algorithm are given. Besides that results of some computational and natural experiments are discussed and this shoes a wide possibilities of the method suggested. Physical realization is presented of aperture synthesizing.