Identification of small inclusions from multistatic data using the reciprocity gap concept

Houssem Haddar (1) , Ridha Mdimagh (2)

1 DeFI - Shape reconstruction and identification
2 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]

We consider the problem of identifying small inclusions (or point sources) from multistatic Cauchy data at given surface measurements associated with harmonic waves at a fixed frequency. We employ the reciprocity gap sampling method to recover the location of the inclusions and identify their equivalent dielectric properties. As opposed to the case of extended obstacles, no approximation argument is needed in the theoretical justification of the method. These aspects are numerically validated through multiple numerical experiments associated with small inclusions.

Domaines: Analyse numérique [math.NA]

Houssem Haddar, Ridha Mdimagh. Identification of small inclusions from multistatic data using the reciprocity gap concept. Inverse Problems, 2012, 28 (4), pp.045011, 19. ⟨10.1088/0266-5611/28/4/045011⟩. ⟨hal-00743911⟩