Adaptive imaging in random media

George Papanicolaou
Stanford University

I will review the basic resolution theory
of array imaging with Kirchhoff migration
(seismic, sonar, ultrasonic) and I will
then introduce coherent interferometric imaging,
which is the back propagation of local
space-time correlations of the array data.
I will explain why interferometry works well
in random media and I will present a resolution theory for this kind of imaging. I will then introduce the key decoherence or smoothing parameters that depend on the random medium, are needed for stable imaging, and are related to the resolution of the images. I will illustrate the theory and its limitations with the results of
extensive numerical simulations, including the
adaptive estimation of the decoherence parameters.

Back to Workshop in Celebration of Bjorn Engquist's 60th Birthday: International Forum on Multiscale Methods and Partial Differential Equations