Some special solutions of Rayleigh’s equation and the reflections of body waves at a free surface

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Published: Apr 1, 2000
DOI: https://doi.org/10.22201/igeof.00167169p.2000.39.2.272
Keywords:
Rayleigh’s equation, surface waves, body wave reflection, critical Poisson ratios

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Peter G. Malischewsky
Friedrich-Schiller-Universität Jena, Institut für Geowissenschaften, Germany ; Present address: IIMAS, UNAM, México, D. F., México

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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Vol. 39 No. 2 (2000): April 1, 2000
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Article
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