The Stroh formalism and the reciprocity properties of reflection-transmission problems in crystal piezo-acoustics
✍ Scribed by A.L. Shuvalov; J. Lothe
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 993 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0165-2125
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✦ Synopsis
The paper is concerned with the Helmholtz-Rayleigh reciprocity, which implies invariance of mode-into-mode transformation with respect to interchange of incident mode and reflected or transmitted mode. This concept is considered for a wide range of acoustic reflection-transmission problems in anisotropic piezoelectric media. Resorting to the ideas of the Stroh formalism and casting the wave solutions of a boundary problem into a self-orthogonal and complete set, we develop the common approach which allows us to prove the reciprocity properties in a similar fashion for reflection-transmission for various boundary conditions.