An optimization approach for the localization of defects in an inhomogeneous medium from acoustic far-field measurements at a fixed frequency

Yann Grisel (1, 2) , Jérémie Fourbil (3) , Vincent Mouysset (1)

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

We are interested in the localization of defects in non-absorbing inhomogeneous media with far-field measurements generated by plane waves. In localization problems, most so-called sampling methods are based on a characterization involving point-sources and the range of some implicitly defined operator. We present here a way to deal with this implicit operator by the means of an optimization approach in the lines of the well-known inf criterion for the factorization method.

Mots clés: Inhomogeneous media; Inverse acoustic scattering; Defects localization

Domaines: Analyse numérique [math.NA]

Yann Grisel, Jérémie Fourbil, Vincent Mouysset. An optimization approach for the localization of defects in an inhomogeneous medium from acoustic far-field measurements at a fixed frequency. Inverse Problems in Science and Engineering, 2016, 24 (7), pp.1162-1185. ⟨10.1080/17415977.2015.1124426⟩. ⟨hal-00804615v2⟩