Title: Locating Multiple Multi-scale Electromagnetic Scatterers by A Single Far-field Measurement
Abstract: In this talk, I will describe an inverse scattering scheme of locating electromagnetic scatterers. The proposed method can work in an extremely general setting. The number of scatterer components is not required to be known. The physical properties of each scatterer component is not required to be known either. There might be both small-size components and regular-size components (compared to the detecting EM wavelength) presented at the same time. For the regular-size components, we need know the possible shapes in advance. Our method works to locate all the scatterer components by using only a single far-field measurement. Theoretical justifications will be briefly discussed and numerical results will be demonstrated.
Title: Regularized transformation-optics cloaking in acoustic and electromagnetic scattering
Abstract: In this talk, I will describe the recent theoretical and computational progress on our work on regularized transformation-optics cloaking. Ideal cloak makes use of singular metamaterials, posing much challenge for practical realization. Regularization is incorporated into the construction in order to avoid the singular structures.