Localization the discontinuity lines of bottom scattering coefficient according to acoustic sounding data

The paper considers the mathematical problems of constructing sonar images of the seabed from the data of measurements of a multi-beam side-scan sonar. For the nonstationary radiative transfer equation, which describes the process of acoustic sounding in the ocean, the inverse problem is investigated, which consists in finding the discontinuity lines of the bottom scattering coefficient. A numerical algorithm for solving the inverse problem is developed and the analysis of the quality of localization the boundaries of inhomogeneities of the seabed, depending on the number of angles and the sounding range, is carried out.