2 MODELS OF ACOUSTIC SCATTERERS IN DIFFRACTION TOMOGRAPHY

Scattering from acoustic inhomogeneities of compression and density is analyzed in the context of diffraction tomography based an the first Born approximation, Two types of scatterers are considered: a single s catterer and a small scatterer within a large one. These scatterers ar e studied by two procedures. One involves all essential properties of projective schemes and the other is based on multifrequency schemes. T hese procedures were suggested to avoid computational errors due to a finite size of the aperture, sampling interval, and interpolation seep . A qualitative and quantitative analysis of the residual error of the Born approximation is analyzed qualitatively and quantitatively, a me chanism of scatterer image degradation in projective procedures is pre sented, and reasons for the law stability of these procedures as compa red to multifrequency procedures are given.