Imaging models and reconstructions

We are interested here in the reconstruction of inclusions in highly heterogeneous unknown media. The medium is probed by using classical acoustic waves. When fluctuations become too strong, inversion methodologies based on a microscopic description of wave propagation become strongly dependent on the unknown details of the medium. In some situations, it is therefore preferable to use a macroscopic model for a quantity that is quadratic in the wave fields. Here, such macroscopic models take the form of radiative transfer equations. We then replace an inverse problem based on the microscopic wave equation by an inverse problem based on the macroscopic transport equations. In particular:

Olivier Pinaud 2010-07-30