Computations of the acoustic-waves propagation parameters and the subsequent elastic constants derivation in a single layer on a substrate

TL;DRAbstract

The aim of this article is to present a phenomenon of acoustic waves propagation in a single layer on a semi-infinite substrate from the classical theory of elasticity point of view, and recall the description of this phenomenon by G. W. Farnell and E. L. Adler issued in 1972. Additionally, the purpose is to provide tutorial-type, step-by-step scheme for the numerical algorithm, using matrix formalism, in order to calculate frequencies, velocities and polarizations of different acoustic modes propagating within a layer. It was shown how from these calculations elastic constants of materials can be derived from fittings into dependencies between velocities and acoustic wave-vectors. The approach presented is related to Brillouin light scattering (BLS) experiments. The BLS experiments provide information about acoustic modes frequencies, velocities and wave-vectors, thus supporting the fitting procedure by reduction number of the unknown parameters.

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