It is shown that within the accuracy of the first-order Born approximation there are no bodies that are invisible for all directions of incidence, i.e. that there are neither deterministic nor random non-scattering scatterers. An alternating orthogonal projections approach is also discussed for reconstructing the structure of deterministic scatterers from the knowledge of the scattered field in the far zone.
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Wolf et al. (1993) studied this question.
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