Acoustical Imaging Volume 8, 1980, pp 615-628

A New Approach to Acoustic Tomography Using Diffraction Techniques

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A method is presented for the three-dimensional reconstruction of objects from their two-dimensional profiles obtained by ultrasonic imaging techniques. This method uses a perturbation approximation to the propagating field to solve for the ultrasonic velocity distribution based on the wave equation. In this technique, no assumptions are made about the ultrasonic ray geometries. Furthermore, the reconstruction is carried out in the frequency domain, making the method also computationally efficient. Some numerical simulation results are presented.