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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1994 Volume 218, Pages 166–175 (Mi znsl5980)

On conditions of the dynamical equivalence of waves in multilayer elastic media

N. S. Smirnova

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences

Abstract: Necessary and sufficient conditions of the dynamic equivalence of two waves propagating in an elastic $p$-layered medium and undergoing all kind of exchanges on the interfaces of the medium are proved. These conditions are represented in the form of identities in which powers of the reflection and refraction coefficients contained in formulas for intensities of these waves enter. Bibliography: 5 titles.

UDC: 550.344

Received: 25.07.1994


 English version:
Journal of Mathematical Sciences (New York), 1997, 86:3, 2766–2772

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© Steklov Math. Inst. of RAS, 2025