Retournement temporel avec conditions absorbantes (TRAC) et super-résolution Reconstruction du passé et application aux problèmes inverses

The time-reversed absorbing conditions (TRAC) method introduced in (Assous et al., 2010; 2011) enables one to "recreate the past" without knowing the source which has emitted the signals that are back-propagated. The method does not rely on any a priori knowledge of the physical properties of the inclusion. TRAC has been applied successfully to inverse problems. In this paper, we consider the case of the discrimination between one inclusion and two close inclusions in non-dissipative homogeneous media. The results are fairly insensitive to noise in the data.