Special features of calculation for processes of scattering by contrast and strongly absorbing two- and three-dimensional inhomogeneities

A direct problem of scattering for refractive-absorbing scatterers of different shapes and strengths is considered. A rigorous solution for two- and three-dimensional problems and its numerical implementation are obtained on the basis of equations of the Lippmann-Schwinger type in the coordinate space and in the space of special frequencies that is Fourier-conjugate to it. Attention is given to selection of parameters for problem sampling that are fundamentally important for providing adequacy of numerical simulation. Techniques for restricting the Green’s function support and introducing a reserve band are used. The results of numerical calculation for wave fields and secondary sources are given for different scatterers. The major laws connected with the effects of sound wave rescattering are illustrated and discussed.