TE plane wave scattering and diffraction from a periodic surface with semi-infinite extent

摘要

This report studies scattering and diffraction of a TE plane wave from a periodic surface with semi-infinite extent. By means of a combination of the Wiener-Hopf technique and a perturbation method, a concrete representation of the wavefield is explicitly obtained in terms of a sum of two types of Fourier integrals. It is then found that effects of surface roughness mainly appear on the illuminated side, but weakly on the shadow side. Moreover, ripples on the angular distribution of the first-order scattering in the shadow side are newly found as an interference phenomenon between a cylindrical wave radiated from the edge and an inhomogeneous plane wave supported by the periodic surface.