Determining the shape of defects in non-absorbing inhomogeneous media from far-field measurements

Yann Grisel (1, 2) , Vincent Mouysset (1) , Pierre-Alain Mazet (1) , Jean-Pierre Raymond (2)

1 ONERA - The French Aerospace Lab [Toulouse]
2 IMT - Institut de Mathématiques de Toulouse UMR5219

We consider non-absorbing inhomogeneous media represented by some refraction index. We have developed a method to reconstruct, from far-field measurements, the shape of the areas where the actual index differs from a reference index. Following the principle of the Factorization Method, we present a fast reconstruction algorithm relying on far field measurements and near field values, easily computed from the reference index. Our reconstruction result is illustrated by several numerical test cases.

Mots clés: Acoustic scattering; Inhomogeneous media; Factorization method; Defect localization

Domaines: Equations aux dérivées partielles [math.AP]

Yann Grisel, Vincent Mouysset, Pierre-Alain Mazet, Jean-Pierre Raymond. Determining the shape of defects in non-absorbing inhomogeneous media from far-field measurements. Inverse Problems, 2012, 8 (5), pp.055003. ⟨10.1088/0266-5611/28/5/055003⟩. ⟨hal-00805796⟩