Breaking the Diffraction Limit via Inverse Scattering

In this talk, our recent progress on inverse surface scattering problems will be discussed. I will present new approaches to achieve subwavelength resolution for the inverse problems. The method requires only a single incident field and is realized by using the fast Fourier transform. The error estimates of the solution for the model equation will be addressed. I will also highlight ongoing projects in rough surface imaging, random medium imaging, and near-field optics modeling.