Two numerical methods for recovering small inclusions from the scattering amplitude at a fixed frequency

Habib Ammari (1) , Ekaterina Iakovleva (1) , Dominique Lesselier (2)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 DRE - Département de Recherche en Electromagnétisme ; EMG - Département Electromagnétisme - L2S

In this paper two noniterative algorithms for locating small electromagnetic inclusions from the scattering amplitude at a fixed frequency are developed. In particular, a variety of numerical results is presented to highlight their potential and their limitations.

Mots clés: inverse scattering problem; scattering amplitude; Helmholtz equation; electromag- netic inclusions; reconstruction; MUSIC algorithm; analytic continuation; FFT

Domaines: Electromagnétisme; Physique mathématique [math-ph]

Habib Ammari, Ekaterina Iakovleva, Dominique Lesselier. Two numerical methods for recovering small inclusions from the scattering amplitude at a fixed frequency. SIAM Journal on Scientific Computing, 2005, 27 (1), pp.130-158. ⟨10.1137/040612518⟩. ⟨hal-00637496⟩