Reggio Calabria (RC), 89124, Italy

Basic Theory

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.

  1. O. M. Bucci and T. Isernia, “Electromagnetic inverse scattering: Retrievable nformation and measurement strategies”, Radioscience, vol. 32, pp. 2123–2138, 1997. [click here]
  2. 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]
  3. 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
  4. 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]