In seismic and ultrasound imaging, we probe an object with waves from the outside to find out what is inside. Inside the object, the propagating wave splits, reflecting and refracting at material interfaces; eventually, some waves reach the surface where they can be detected. For many imaging algorithms, the presence of multiple reflections, waves that reflected more than once, is a nuisance.
will discuss the scattering control series, which can eliminate these undesired multiple reflections, but has many other uses, too. It can create focused waves (without knowing what is inside the object), leading to new ways of solving the acoustic inverse problem. The series has a rich mathematical theory and comes with convergence results, while on the applied side, we have successfully implemented it in 1D and 2D.
This is joint work with Vitaly Katsnelson and Maarten de Hoop in CAAM, as well as Gunther Uhlmann (University of Washington).