Interaction of acoustic waves with an interface in highly anisotropic layered crystals

Abstract

The scattering of acoustic waves on a planar defect in the interior of a crystal is studied by the methods of lattice dynamics. The model chosen consists of two semi-infinite, highly anisotropic crystals, the forces of interaction between which are distinct from the interactions within the crystals themselves. The model is used to study the resonant transmission of waves through an impurity monolayer. This resonant transmission effect is due to the weak coupling of the defect to the host lattice and cannot be described in the framework of the standard theory of elasticity, since the displacements of the defect layer and of the closest-lying layers of the host matrix are substantially different. For nongrazing angles of incidence the resonant transmission effect can be illustrated qualitatively by the example of an infinite linear chain containing a point impurity.

Resonance absorption, reflection, transmission of phonons and heat transfer through interface between two solids

“…Kosevich has proposed to consider basic properties of the resonance transmission with the example of one-dimensional model [9]. One-dimensional (1D) models, despite their simplicity, can give qualitative description of many physical phenomena observed in real three-dimensional (3D) systems.…”

“…To study this influence, it is necessary to elucidate the features of the interaction of phonons with the planar defect. The studies of resonance effects in the scattering of acoustic waves from and formation of localized and resonance vibrational states on a planar defect have a considerable interest [3][4][5][6][7][8][9], since such effects can give rise to the features in the kinetic phonon characteristics of the intercrystalline interfaces which can be experimentally observed.…”