Abstract
An approach is proposed to set up the dispersion equations for surface waves in a periodically stratified half-space contacting with a layer of a perfect compressible liquid. The approach is based on the formalism of periodic Hamiltonian systems. The dispersion equations derived are valid for an arbitrary law of variation in the properties with respect to the coordinate of periodicity. The effects of the liquid layer and the inhomogeneity of the elastic medium on the dispersion spectra of surface waves are studied
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Shul'ga, N.A., Zinchuk, L.P. Surface Waves in a Stratified Periodic Medium with a Liquid Upper Layer. International Applied Mechanics 38, 1366–1370 (2002). https://doi.org/10.1023/A:1022601403575
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DOI: https://doi.org/10.1023/A:1022601403575