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.
Bibliographical noteFunding Information:
This research was carried out while Z. Q. Lu was a visiting scholar at the University of Minnesota. The work of M. Kaveh and R. K. Mueller was supported by the National Science Foundation under Grant #ECS-7926008.
- Beam wave
- Born transformation
- Rytov transformation
- diffraction tomography
- frequency domain reconstruction