Surface acoustic waves in layer – substrate structures of arbitrary anisotropy

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Resumo

The existence of surface acoustic waves in a semi-infinite substrate with a solid layer is theoretically investigated. The substrate and the layer are not piezoelectrics, but can belong to any class of crystallographic symmetry. By presenting the dispersion equation as a condition on the substrate and layer impedance matrices, it is possible to determine, using the properties of impedances, the maximum allowable number of surface waves depending on the type of contact and the ratio between the velocities of the bulk waves in the substrate and the layer materials. In addition, a dispersion equation is derived for the symmetrical orientation of an orthorhombic substrate with a deposited monoatomic layer and the possibility of a purely flexure surface acoustic wave in the case of a very hard surface layer, for example, a monolayer of graphene on a soft polymer substrate, is shown.

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Sobre autores

A. Darinskii

National Research Center “Kurchatov Institute”

Autor responsável pela correspondência
Email: Alexandre_Dar@mail.ru

Shubnikov Institute of Crystallography of the Kurchatov Complex Crystallography and Photonics

Rússia, Moscow

Yu. Kosevich

Semenov Federal Research Center for Chemical Physics of the Russian Academy of Sciences; Plekhanov Russian University of Economics

Email: yukosevich@gmail.com
Rússia, Moscow; Moscow

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2. Appendix
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3. Fig. 1. Slowness curve sx,z = kx,z/ω of the slowest body wave in the sagittal plane XZ. The dotted line is the tangent to the slowness curve. The body wave at vlim = min(sx–1) is the limiting body wave for the direction m (|m| = 1). The vector sph indicates the direction of its phase velocity, and the vector gxz is the projection of the group velocity of the limiting body wave onto the plane XZ. There are no body waves in the interval sx > vlim–1. The unit vector n is the normal to the surface of the medium.

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4. Fig. 2. Three variants (a), (b) and (c) of the dependence of the eigenvalues λ1,2,3 on the velocity v. SAWs exist at v = vsaw.

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