Transient wave imaging of anomalies: a numerical study

Souhir Gdoura (1, 2) , Lili Guadarrama Bustos (3)

1 DRE - Département de Recherche en Electromagnétisme ; EMG - Département Electromagnétisme - L2S
2 L2S - Laboratoire des signaux et systèmes
3 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

Asymptotic formulas, time reversal, kirchhoff imaging, back-propagation imaging, MUSIC imaging. In this paper, we first numerically test the validity of the asymptotic formulas for computing the scattered acoustic pressure by a small three-dimensional anomaly in the near and far fields. We then propose three methods for detecting the anomaly from far-field measurements. We implement time reversal, back-propagation, Kirchhoff and MUSIC imaging techniques.

Mots clés: far fields; Asymptotic formulas; MUSIC imaging; near fields; far fields.; small three-dimensional anomaly; acoustics; Kirchhoff imaging; back-propagation imaging; time reversal

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Souhir Gdoura, Lili Guadarrama Bustos. Transient wave imaging of anomalies: a numerical study. H. Ammari and J. Garnier and H. Kang and K. Solna. Mathematical and Statistical Methods for Imaging, AMS, 13p., 2011, Contemporary Mathematics AMS series. ⟨hal-00651168⟩