Elastic wave propagation in a horizontally-multilayered crust has been formulated in terms of linear systems theory. Exact linear system models, considering all possible internal reverberations, have been obtained for plane compressional and rotational waves incident at the base of a horizontally layered elastic medium. The linear system has been analyzed using Laplace and Fourier transform techniques. The Fourier transform solution corresponds to the Haskell matrix solution in terms of the elastic wave equations. The method has been extended to analyze the effects of attenuation within the crustal layers.

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