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

A study was conducted to demonstrate localized waves in a doubly periodic elastic plane with a periodic row of defects. An elastic doubly periodic plane was considered with an infinite periodic row of foreign inclusions. The corresponding waves running along the extended defects and radically deforming the picture of scattering due to the reorientation of the energy-transfer direction represented an interest in diffraction theory and a large number of investigations. The study found the simple conditions of the existence of localized waves.