An iterative approach to non-overdetermined inverse scattering at fixed energy

Roman Novikov (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We propose an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy E with incomplete data in dimension d >= 2. In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for E --> +infinity.

Domaines: Physique mathématique [math-ph]; Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Roman Novikov. An iterative approach to non-overdetermined inverse scattering at fixed energy. Sbornik: Mathematics, 2015, 206 (1), pp.120-134. ⟨hal-00835735⟩