The Wiener-Hopf Theory for the Scattering by an Impenetrable Polygonal Structure

The Generalized Wiener-Hopf technique and the associated Fredholm factorization method constitute powerful tools that allow to study in quasi-analytical form the diffraction by complex structures with edges. A characteristic of this technique is the possibility to break down the complexity of the diffraction problem into different homogeneous canonical subregions where the WH functional equations and their associated integral representations of Fredholm kind are deduced. The mathematical-physical model is comprehensive and it allows spectral interpretation. In this paper we consider a novel canonical scattering problem: the three face impenetrable polygon.