Functional-analytical solution to an acoustic tomography problem, based on data from point transducers

A two-dimensional version of the functional-analytical algorithm for solving the inverse scattering problem is considered and modeled. Acoustic fields, transmitted and received by quasi-point transducers, are used as experimental data. The algorithm is mathematically rigorous and does not require either linearization of the models or iterations, making it attractive for a variety of applications in acoustic tomography.