Lu Z Q, Kaveh M, Mueller R K
Ultrason Imaging. 1984 Jan;6(1):95-102. doi: 10.1177/016173468400600108.
This paper discusses the problem of diffraction tomography, when a general beam 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.