This paper discusses the problem of diffraction tomography, when a general bean wave is used as the excitation and the three-dimensional structure of the object is considered. The special case of a zero-order beam wave with measurements of the average of the scattered field in the z direction is detailed. It is shown that in this case a reconstruction algorithm identical to the two-dimensional geometry yields a z-averaged tomogram of the inhomogeneity.
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DevaneyA., A filtered back propagation algorithm for diffraction tomography, Ultrasonic Imaging4, 336–350 (1982).
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