Wave scattering by one and many thin material strips: singular integral equations, Meshless Nystrom discretization, and periodicity caused resonances

Abstract

We consider the medial-line singular-integral equation technique for the analysis of the scattering by multiple thin material strips. Their discretization is performed using the Nystrom-type scheme that guarantees convergence. Numerical study of the scattering by periodic arrays of a few hundred or more strips reveals specific high-Q resonances caused by the periodicity.