Besides its applicative relevance, the inverse scattering problems are also challenging from a theoretical point of view. Indeed, the inverse scattering problem is ill-posed and also non-linear in the relationship between the data and unknowns. LEMMA’s researchers in the last twenty years have contributed to better understand these two basic issues. In particular, in [1] and [2] implications of ill-posedness are discussed in far field and near field cases, respectively. On the other hand, in [3] and [4] the concept of ‘degree of non-linearity’ of scattering problems with respect to parameters embedding the electromagnetic characteristics of the target is introduced and discussed as far as the scalar and vectorial 2D cases, respectively.
- O. M. Bucci and T. Isernia, “Electromagnetic inverse scattering: Retrievable nformation and measurement strategies”, Radioscience, vol. 32, pp. 2123–2138, 1997. [click here]
- O. M. Bucci, L. Crocco, and T. Isernia, “Improving the reconstruction capabilities in inverse scattering problems by exploitation of close-proximity setups,” JOSA A, vol. 16, pp. 1788-1798, 1999. [click here]
- O. M. Bucci, N. Cardace, L. Crocco, and T. Isernia, “Degree of nonlinearity and a new solution procedure in scalar two-dimensional inverse scattering problems,” JOSA A, vol. 18, pp. 1832-1843, 2001. [click here]
- O. M. Bucci, N. Cardace, L. Crocco, and T. Isernia, “2D inverse scattering: degree of nonlinearity, solution strategies, and polarization effects”, Proc. SPIE 4123, Image Reconstruction from Incomplete Data, 2000. [click here]