Passive imaging and detection in cluttered media

In this paper we consider passive sensor imaging with ambient noise sources by suitably migrating the cross correlations of the recorded signals. We use an imaging functional that relates to the classic Kirchhoff migration functional. We analyze the properties of the imaging functional in the high-frequency regime which shows that it produces sharp images. We identify the scaling assumptions that allow us to image respectively, the support of the random sources and the medium variations when these may come in the form of clutter. Numerical simulations confirm the theoretical predictions.