Geodesic
Eigenwaves of a transversely isotropic layer interfaced to an isotropic half-plane
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 87-94 Cet article a éte moissonné depuis la source Math-Net.Ru

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The waveguide structure formed by a transversely isotropic layer interfaced to an isotropic half-plane is considered. The general solution of equations describing the elastic wave propagation in a transversely isotropic medium is obtained. The spectrum of the waveguide structure is determined. The semi-inner product is defined on the space of the eigenwaves. It is shown that the waves corresponding to the discrete spectrum form the system of orthogonal functions with respect to the semi-inner product.
Keywords: transversely isotropic layer, eigenwaves, semi-inner product. 
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A. V. Anufrieva; K. N. Stekhina; D. N. Tumakov. Eigenwaves of a transversely isotropic layer interfaced to an isotropic half-plane. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 87-94. http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a7/

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