Smirnova, N. S. On conditions of the dynamic equivalence of waves in multilayer elastic media. (English. Russian original) Zbl 1071.74604 J. Math. Sci., New York 86, No. 3, 2766-2772 (1997); translation from Zap. Nauchn. Semin. POMI 218, 166-175 (1994). Summary: We formulate necessary and sufficient conditions for the dynamic equivalence of two waves that propagate in an elastic \(p\)-layered medium and that undergo all possible exchanges on the interfaces. These conditions are expressed as equalities in which powers of the reflection and refraction coefficients occur in expressions for the intensities of these waves. MSC: 74J10 Bulk waves in solid mechanics Keywords:nesscary and sufficient conditions for dynamic equivalence; elastic p-layer; powers of reflection and refraction coefficients Citations:Zbl 0924.00023 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Petrashen, G. I.; Vavilova, T. I., Calculation of the intensities of multiple sum waves in multilayer media for any arrangement of the source and detector, Vopr. Dinam., Teor. Rasprostr. Seismich. Voln, IX, 77-96 (1968) [2] Smirnova, N. S., An algorithm for determining wave fields in multilayer elastic media, Zap. Nauchn. Semin. LOMI, 186, 154-171 (1990) · Zbl 0835.73015 [3] N. S. Smirnova, “Determination of groups of dynamically equivalent waves propagating in layered elastic media,”Zap. Nauchn. Semin. LOMI, 154-160 (1991). [4] Smirnova, N. S., On the calculation of wave fields propagating in multilayer media, Zap. Nauch. Semin. POMI, 203, 156-165 (1992) · Zbl 0850.73058 [5] Smirnova, N. S., An algorithm for determining sum multiple wave fields with a source and a receiver taking up arbitrary positions in an elastic medium, Zap. Nauch. Semin. POMI, 210, 251-261 (1994) · Zbl 0872.73007 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.