Attenuation of Rayleigh waves due to surface roughness

Rayleigh waves are well known to attenuate due scattering when they propagate over a rough surface. Theoretical investigations have derived analytical expressions linking the attenuation coefficient statistical surface roughness parameters, namely, surface's root mean squared height and correlation length wave's wavenumber. In literature, three regimes been identified—the geometric (short wavelength), stochastic medium (long wavelength) regimes. This study uses high-fidelity two-dimensional finite element (FE) modelling scheme validate existing predictions provide unified approach studying problem of wave from surfaces as same model can be used obtain values regardless regime. regimes, very good agreement is found between theory FE results both in terms absolute for asymptotic power relationships. regime, relationships obtained through combination dimensional analysis simulations. The here also useful insight into verifying three-dimensional because method its derivation analogous.