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The Passage of Elastic Waves through an Anomalous Region—III. Transmission of obliquely incident body waves
Article first published online: 1 MAY 2007
DOI: 10.1111/j.1365-246X.1975.tb07050.x
Issue
1365-246X/asset/cover.gif?v=1&s=0b6c9ec5b881e6774f4a3cac6cee4be683535a1c "Geophysical Journal of the Royal Astronomical Society")
Geophysical Journal of the Royal Astronomical Society
Volume 40, Issue 2, pages 255–268, February 1975
Additional Information
How to Cite
Lapwood, E. R. and Hudson, J. A. (1975), The Passage of Elastic Waves through an Anomalous Region—III. Transmission of obliquely incident body waves. Geophysical Journal of the Royal Astronomical Society, 40: 255–268. doi: 10.1111/j.1365-246X.1975.tb07050.x
Publication History
- Issue published online: 6 MAY 2009
- Article first published online: 1 MAY 2007
- Received 1974 September 26
- Abstract
- References
- Cited By
Summary
The discussion of the transmission of plane harmonic elastic waves through a layer of material in which the elastic properties vary in a complex way is continued. In Parts I and II of this series, the method of Schwinger and Levine was examined and the accuracy of the solutions was tested. So that this preliminary discussion would not be obscured by detail, only normal incidence of the wave onto the layer was dealt with.
In this paper we apply the method of Schwinger and Levine to the general problem of oblique incidence of plane dilatational or shear waves. Furthermore, we derive expressions leading to approximations to the amplitudes of the reflected as well as the transmitted waves. The restriction that, in the layer, the elastic properties of the material vary in the normal direction only is retained.