Some special solutions of Rayleigh’s equation and the reflections of body waves at a free surface
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Abstract
A new representation of all roots of Rayleigh’s equation for all values of Poisson’s ratio is proposed. A new analytical expression for the double root is derived. It is found to be simply related to special Brewster angles, which occur for incident longitudinal or transversal waves at a stress-free surface. Some peculiarities of the reflection coefficients RPS and RSP are discussed.
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Malischewsky, P. G. (2000). Some special solutions of Rayleigh’s equation and the reflections of body waves at a free surface . Geofisica Internacional, 39(2), 155–160. https://doi.org/10.22201/igeof.00167169p.2000.39.2.272
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