Tomographic Imaging of Meta-Shells: Noisy Scattering Data

In this contribution, we review our recent results and some new ideas concerning both direct and (mainly) inverse wave scattering by meta-shells, i.e., closed, generally semi-transparent metasurfaces. It is shown that these meta-shells can be characterized by a singular potential. In the most general case of Huygens' metasurfaces with magneto-electric coupling, the wave scattering is described by a four-parameter family of point interactions, derived previously within 1D quantum mechanics. A linear non-iterative inversion algorithm is used to recover the support of the scattering potential, and therefore, the shape of the meta-shell. Special attention is devoted to the impact of noise on the image quality. Performing a number of 2D simulations, it is shown that the inversion algorithm is extremely robust, as the recovery of arbitrary meta-shells is achieved even when the true signal is well below the noise floor in the scattering data.