A stationary medium containing inhomogeneities of sound speed, density, and frequency-dependent absorption coefficient is considered. These inhomogeneous acoustic characteristics, including a power index of frequency dependence of the absorption coefficient, are unknown and must be reconstructed based on scattering data at many frequencies. First, complex scatterer function, which contains contributions from various types of the inhomogeneities, is reconstructed by solving the inverse problem. Then, method for extracting the individual spatial distributions of all the sought-for acoustic characteristics from the scatterer function is proposed. Numerical simulation results are presented, which illustrate capabilities and restrictions of the proposed method for various noise levels in initial data. It is shown that result of reconstructing the power index of the frequency dependence of the absorption coefficient has the lowest noise resistance. At the same time, the sound speed, density, and absorption coefficient are reconstructed with acceptable accuracy and high resolution.
O.D. Rumyantseva (2025) studied this question.