Point source waves near the interface between elastic and liquid media

N. Ya. Kirpichnikova

Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 39, Tome 379 (2010), pp. 47-66

Résumé

Combined surface waves are under consideration, they can be presented as a combination of whispering gallery waves (concentrated near the boundary in the layer of width $O(\omega^{-2/3})$ for $\omega\to\infty$, where $\omega$ is a frequency) and standard surface waves (exponentially decaying moving away from the interface boundary with parameter proportional to $\omega$), or waves oscillating when going away from the boundary. Those waves are obtained near the boundary $z=0$ of inhomogeneous elastic medium $z>0$ (propagation velocities $a(z)$ and $b(z)$) and inhomogeneous liquid (velocity in the liquid is $a_0(z)$). In the latter case there are wave fields propagating with phase velocity close to the velocities of Stonely and Rayleigh, and also close to velocities $a_0$, $b$ and $a$ on the interface boundary. Bibl. 10 titles.