LINEARIZED INVERSE PROBLEM OF SCATTERING IN MONOCHROMATIC AND PULSE MODES

A procedure for the reconstruction of weak multidimensional inhomogene ities was investigated. The monochromatic-mode recovery algorithm has a number of advantages over recently reported methods both with and wi thout the use of interpolation. The algorithm was generalized for the case of plane probing pulses with an arbitrary duration and shape. In the pulse mode, the recovery of a scatterer in each cell of its spatia l quantization is reduced to the weighted summation of the scattered s ignals sampled for all directions of incidence and observation at the appropriate instants. This procedure does not appreciably increase the number of computational operations, as compared with monochromatic so unding, The probing of weak scatterers with pulses from point sources (for point-type receivers) was handled with correction factors. The re construction algorithms that have been developed allow for the elabora tion of software for acoustical ultrasound tomography.