Algorithms for localization of scattering inhomogeneities based on incomplete multipath ultrasound data

The considered inverse problem for a nonstationary integro-differential equation for the highfrequency acoustic radiation transport which lies in determining the discontinuity surfaces of the volume scattering coefficient from the time-angular distribution of the flow density at a given point in threedimensional space. Numerical algorithms for solving the inverse problem based on the introduction of special indicator functions that explicitly indicate the location of the scattering coefficient discontinuity lines in a given plane are proposed. Monte Carlo methods allowed simulating the process of ultrasonic sounding in the marine environment, the effectiveness of the algorithms for localization of scattering inhomogeneities was demonstrated, and the effect of the initial data incompleteness on the quality of tomographic images was numerically analyzed.