The problem of determining a two-dimensional indexof refraction profile from optical scattering experiments is treated within the Born approximation. Specific attention is devoted to the case where the data is generated in a set of scattering experiments employing monochromatic incident plane waves of varying directions of propagation. It is shown that this inverse scattering problem can be viewed as a form of computed tomography where, however, diffraction and scattering of the incident wave must be taken into account in the reconstruction algorithm. An algorithm for reconstructing the object profile from the scattered field data is presented and shown to be the generalization of the filtered backprojection algorithm of conventional tomography to the case where diffraction and scattering of the wavefields is taken into account. Reconstructions obtained by use of the algorithm on computer generated scattered field data are presented.
A. J. Devaney,
"Inverse Scattering As A Form Of Computed Tomography", Proc. SPIE 0358, Applications of Mathematics in Modern Optics, (7 December 1982); doi: 10.1117/12.934049; https://doi.org/10.1117/12.934049