On propagation of attenuated rayleigh waves along a fluid–solid interface of arbitrary shape

This paper is devoted to the quantitative description of high-frequency ‘leaky’ wave modes along an interface of arbitrary shape between a compressible fluid medium and an elastic solid, in the context of linearized elasticity. The interface is assumed to be smooth, with the typical radius of curvature much larger than the excitation wavelength. The employed technique consists of using a combination of the classical ray expansion of WKB-type and its boundary-layer version (see V. M. Babich and N.Ya. Kirpichnikova, The Boundary-Layer Method in Diffraction Problems, Springer, Berlin 1979). The main result of this work is explicit formulae for the leading-order term in the high-frequency approximation of the wave field.