Colloquium Series Seminar

Wave propagation in random media can be studied by multiscale and stochastic analysis. We review some recent advances and their applications. In particular, in a physically relevant regime of separation of scales, wave propagation is governed by a Schrodinger-type equation driven by a Brownian field. We study the associated moment equations and describe the propagation of coherent and incoherent waves. These results make it possible to introduce and characterize correlation-based imaging techniques. We show how these techniques can be used in random media and/or with incoherent, opportunistic, or ambient noise illumination. Speaker(s): Josselin Garnier (Ecole Polytechnique France)