Yet another elastic plane-wave, layer-matrix algorithm

Astronomy and Astrophysics – Astronomy

Scientific paper

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Elastic-Wave Theory, Elastodynamics, Layered Media, Numerical Techniques, Seismic Anisotropy

Scientific paper

Many techniques have been developed to calculate the elastodynamic response of a stack of plane layers to a plane, spectral wave. These variations on the original propagator matrix method, commonly called the Haskell matrix method, aim to improve the efficiency and numerical stability of the algorithm. In this note, a simple variant, based on the Langer block-diagonal decomposition and second-order minors, is presented. The method is valid in isotropic media and anisotropic media with up-down symmetry on vertical planes of symmetry. The method is efficient and extremely simple to program-code in Matlab* is presented for the isotropic case.

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