Localized Waves in a Doubly Periodic Elastic Plane with a Periodic Row of Defects

摘要

By scaling, we reduce the period along the axis x2 to unity; i.e., we make the Cartesian coordinates x dimensionless and designate the period along the axis x1 as l. According to the classical scheme (see, for example, [2]) by means of the Gelfand transform, the problem on the planewave diffraction at the periodic defect family is reduced to the problem in the band = (0, l) × with a single inclusion θ, a closed bounded set in (Fig. 1b).