2-DIMENSIONAL AND 3-DIMENSIONAL ACOUSTIC TOMOGRAPHY OF MULTIDIMENSIONAL SCATTERERS WITH THE USE OF INCOMPLETE DATA

A procedure for reconstructing images of weak multidimensional scatter ers is studied. A computer modeling of two-dimensional inverse scatter ing from simulated scattering data is presented. The stability of the two-dimensional algorithm to data errors is tested. Directivity functi ons for different designs of three-dimensional ultrasonic medical tomo graphs are calculated. The solution to three-dimensional inverse scatt ering problem with three-frequency insonation is analyzed. The procedu re can reconstruct basic scatterer parameters (sound velocity, density , and attenuation) from incomplete scattering data.