Many applications in seismics, ocean acoustics and nondestructive evaluation are framed within wave propagation in planarly-stratified media. Planar stratification means that the material properties exhibit a one-dimensional inhomogeneity namely they vary with a Cartesian coordinate, say z. For definiteness and generality, the material parameters are taken to be piecewise smooth functions of z and suffer jump discontinuities at a finite number of surfaces z = constant. Geometrically, this is a multilayer configuration, namely a sequence of a finite number of layers. Each layer is allowed to be an anisotropic and dissipative solid which is pre-stressed in the equilibrium configuration.
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