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
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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.
@article{UZKU_2014_156_2_a7,
author = {A. V. Anufrieva and K. N. Stekhina and D. N. Tumakov},
title = {Eigenwaves of a~transversely isotropic layer interfaced to an isotropic half-plane},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {87--94},
publisher = {mathdoc},
volume = {156},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a7/}
}
TY - JOUR AU - A. V. Anufrieva AU - K. N. Stekhina AU - D. N. Tumakov TI - Eigenwaves of a transversely isotropic layer interfaced to an isotropic half-plane JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2014 SP - 87 EP - 94 VL - 156 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a7/ LA - ru ID - UZKU_2014_156_2_a7 ER -
%0 Journal Article %A A. V. Anufrieva %A K. N. Stekhina %A D. N. Tumakov %T Eigenwaves of a transversely isotropic layer interfaced to an isotropic half-plane %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2014 %P 87-94 %V 156 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a7/ %G ru %F UZKU_2014_156_2_a7
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/