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- Publisher
- Springer Journals
- Copyright
- 2000 MAIK "Nauka/Interperiodica"
- ISSN
- 1063-7710
- eISSN
- 1562-6865
- DOI
- 10.1134/1.1310388
- Publisher site
- See Article on Publisher Site
Abstract
Abstract The resonance formalism developed earlier by H. Überall for a model of a liquid layer overlying a liquid halfspace is extended to a model of an elastic layer overlying an elastic halfspace. Using the Thomson—Haskell matrix technique, an exact analytical expression is obtained for the complex reflection coefficient. Characteristic equations are derived, and their roots, which determine the positions of the resonances of the reflection coefficient for longitudinal and transverse waves, are obtained analytically. In the resonance approach, the exact expression for the reflection coefficient is replaced by an approximate one that describes the behavior of the reflection coefficient near the resonances. The comparison of the exact and approximate values of the reflection coefficient shows good agreement between the results near the frequency and angular resonances.
Journal
Acoustical Physics – Springer Journals
Published: Sep 1, 2000
Keywords: Acoustics