Diffraction of acoustic waves by edges and corners of a simple periodic material

Abstract

In diffraction theory, it is well known that the interfaces between two materials (points, lines or surfaces) play a fundamental role in wave scattering. In this talk I will explain the progress that is made into semi-analytical method to compute the wave scattering by a simple periodic material. The study of wave propagation in a periodic medium is a classical and important research direction but it is usually assumed that the material is infinite in all directions. The novelty of this approach is that the periodic material is semi-infinite and hence has edges and corners. In particular, I will consider semi-infinite arrays and wedges made of point scatters. The method will be a based on the generalisation of Wiener–Hopf techniques which has classically being used to solve scattering by one array. This is joint work with M. A. Nethercote and R. C. Assier