Analysis of Backscattering Data from Closely Spaced Scatterers Using the K Matrix Information

A coincident array of N transceivers is used to estimate the location of a multitude of closely spaced scatterers under arbitrary wave propagation conditions. Multiple Signal Classification (MUSIC) algorithm analyses a multitude of scatterers placed in specific geometries. The formulation of the inverse scattering problem and the multistatic data matrix K are defined in two approximations: the Foldy-Lax (FL) formulation of the full multiple scattering model and the distorted-wave Born approximation (DWBA) model. The Fréchet distances (FD) between the amplitude and phase curves derived from K matrix data and of the amplitude of the scattered signals estimates the effectiveness of the approximation methods. The numerical results showed a slight effectiveness of the Foldy-Lax approximation for scatterers location. The problem of considering the phase estimation from the K matrix is not a solution for signal reconstruction and representation.