Diffraction problems for an electromagnetic wave on a strip and for elastic wave on a defect in comparison

Abstract

Diffraction problems for an electromagnetic wave on an ideally conducting infinitely thin metallic strip, placed on the media interface of two homogeneous isotropic dielectric media, and diffraction problems for an elastic wave on a defect in the form of a split or a thin inclusion, disposed on the media interface of two homogeneous isotropic elastic media, in the case of the two-dimensional field are considered. The formulations and the methods of solving these problems are given in comparison. It is shown that the most similar are the diffraction problems, in which the number of the wave modes propagated in the medium coincides.