Effect of a surface distortion on vibration characteristics of the semi-infinite quasi-low-dimensional systems

Dynamic characteristics of a quasi-low-dimensional semi-bounded anisotropic lattice with a local defect in a subsurface region are studied. Quasi-one-dimensional and quasi-two-dimensional systems are considered. The effect of a distortion at a surface is also taken into account. Differences between 1D or 2D system and quasi-low-dimensional 3D systems are investigated. Peculiarities in the density of states of volume and surface excitations and thresholds of surface and local excitations are analyzed.