On plane wave scattering off a system of scatterers

The scattering of a plain wave on a system of scatterers is considered. The scatterer is described as a bounded domain Omega with the velocity of the wave propagation in the interior of Omega be different from the velocity of wave propagation in the exterior of Omega. The T-matrix formalism has been developed for description of a scattering process. The multichannel approach of Faddeev equations is applied to the problem of calculation of the T-matrix in order to obtain the multiscattering series for the scattering amplitude. The onefold and twofold rescattering amplitudes which in certain cases give the leading contribution to the overall scattering amplitude have been calculated analytically as for nonregular placement of the scatterers as well as for the periodic two dimensional grid of scatterers.