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- W1976829181 abstract "Goodier and Bishop established that there is a “critical” incident angle that a train of Sv waves makes with the traction-free surface of an elastic half-space and that as the incident angle passes through this critical value, the reflected P wave passes through grazing incidence and emerges as a Rayleigh-type wave. In this paper, we study the fate of a train of Sv waves on striking the plane interface between two elastic materials. We find that there are five critical angles associated with such a wave and the emerging wave, which passes through grazing incidence corresponding to each angle, is transformed into a Rayleigh-type wave. The wave is like a Rayleigh wave in that the magnitude of motions accompanying it decay exponentially away from the interface, particle motions have an elliptical orbit, and the wave travels with a constant phase velocity. The wave is unlike a Rayleigh wave in that its velocity is not the velocity of Rayleigh waves. Indeed, it depends on the incident angle. The method, which we use to establish the nature of the waves that emerge, seems to us to be as important as the results. The method is based on the notion of slowness surfaces developed by J. L. Synge using the solution of the field equations of elasticity. The graphical method itself is the result of a systematic exploitation of an idea introduced by M. J. P. Musgrave. [Work sponsored by the National Science Foundation.]" @default.
- W1976829181 created "2016-06-24" @default.
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- W1976829181 date "1968-07-01" @default.
- W1976829181 modified "2023-10-06" @default.
- W1976829181 title "Critical Angles Associated with the Reflection‐Refraction Problem at an Interface" @default.
- W1976829181 doi "https://doi.org/10.1121/1.1970799" @default.
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