Mathematical simulation in diffraction acoustical tomography with multielement transceiver

The parameters of diffraction tomography methods for inhomogeneity reconstr uction is investigated. For a two-dimensional case with linear multi-elemen t transceiver one single frequency and two multi-frequency measurement sche mes are introduced. For these schemes the data regions in the spatial frequ ency domain of inhomogeneities function are presented. The new two-stage ap proach is developed for resolution investigation and image quality estimati on. In the first stage, it is proposed to find the resolution for ideal mea surement conditions (infinite measurement aperture, ideal transducers). The n in the second stage for real measurement conditions, it is enough to dete rmine only the degradation factor which is calculated for all measurement s chemes dependent on measurement parameters. For examination of this approac h also the images for complicated inhomogeneity model are calculated. It is shown that resolution and point spread functions cannot fully describe ima ge quality, especially for complicated data regions in the spatial frequenc y domain of the inhomogeneities function. Many numerical examples are prese nted.