Self-focusing arrays for imaging and therapy through inhomogeneous media

We present a method for self-focusing through inhomogeneous media, which uses the inverse scattering problem to estimate the array Green´s function. In particular, the distorted Born iterative method is used to solve the nonlinear inverse scattering problem for a region of interest. Optimal single and multiple focus field patterns can be synthesized by using the estimated Green´s function in the pseudoinverse pattern synthesis method. This approach is non-invasive. It simply requires measurements of the scattered field outside the region of interest. It can be used for high resolution imaging and enhanced therapeutic effects through inhomogeneous media without making any assumptions on the shape, size, or location of the inhomogeneity. We outline this technique, and show numerical simulations using a circular array