Identification of surface impedance of thin dielectric objects from far-field data

We consider the inverse scattering problem of determining pointwise the surface impedance of a thin dielectric infinite cylinder having an open arc as cross section from the knowledge of the TM-polarized scattered far-field electromagnetic field at a fixed frequency. In this work, we show that the surface impedance is uniquely determined by the far-field data. We derive a Newton-type method to reconstruct the surface impedance. Numerical examples are given showing the efficaciousness of our algorithms.