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Surface wave excitation and propagation in a half space with a continuous dependence of elastic properties on depth has been considered. The total wave field generated by a given surface load can be repre sented as a convolution of the Green's matrix of the medium with the vector of surface stresses, while the trav eling surface waves are described by the residues from the poles of the Green's matrix Fourier symbol. Com parison of the gradient and multilayer models shows that with a high enough number of partitions (layers), the dispersion properties and amplitude-frequency characteristics of surface waves in FGMs are described by the curves obtained upon a steplike approximation of gradient properties; however, with high contrast properties, the multilayer model can be more time consuming. The effect of the vertical inhomogeneity of the medium on the surface wave characteristics has been analyzed for a series of typical dependences occur ring in micro and nanocoatings due to diffusions or technological features of sputtering and gluing of pro tective films.

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