On propagation of Scholte–Gogoladze surface waves along a fluid-solid interface of arbitrary shape

A high-frequency ray theory is presented for a type of small-amplitude waves (Scholte–Gogoladze waves) localised in a thin layer around an interface between elastic and fluid domains. The interface is assumed to be smooth, with the typical radius of curvature much larger than the excitation wavelength. The technique employed in the work is based on a boundary-layer version of the classical WKB expansion (see V. M. Babich and N. Ya. Kirpichnikova, The boundary-layer method in diffraction problems, Berlin; New York: Springer-Verlag, 1979).