Wave transmission and reflection from the boundary of phononic crystal – homogeneous medium
Eurasian journal of mathematical and computer applications, Tome 8 (2020) no. 1, pp. 62-75
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The article suggests a mathematical model describing the steady-state process of normal incidence, transmission and reflection of acoustic waves falling from a half-space filled with a homogeneous medium to the interface of a half-space filled with a layered heterogeneous 2-component one-dimensional-periodic medium, which can be considered a phonon crystal. The influence of geometrical parameters (size of inhomogeneities) and physical parameters of all media (density, speed of sound) on the coefficients of transmission and reflection is studied. For a number of materials the optimal parameter values for certain target functions are found.
Keywords:
Boundary of phononic crystal – homogeneous medium, mathematical model.
Mots-clés : wave transmission
Mots-clés : wave transmission
@article{EJMCA_2020_8_1_a3,
author = {Z. B. Saimanova and S. V. Sukhinin and A. K. Zhumadillayeva},
title = {Wave transmission and reflection from the boundary of phononic crystal {{\cyrv}{\CYRDJE}{\textquotedblleft}} homogeneous medium},
journal = {Eurasian journal of mathematical and computer applications},
pages = {62--75},
year = {2020},
volume = {8},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJMCA_2020_8_1_a3/}
}
TY - JOUR AU - Z. B. Saimanova AU - S. V. Sukhinin AU - A. K. Zhumadillayeva TI - Wave transmission and reflection from the boundary of phononic crystal – homogeneous medium JO - Eurasian journal of mathematical and computer applications PY - 2020 SP - 62 EP - 75 VL - 8 IS - 1 UR - http://geodesic.mathdoc.fr/item/EJMCA_2020_8_1_a3/ LA - en ID - EJMCA_2020_8_1_a3 ER -
%0 Journal Article %A Z. B. Saimanova %A S. V. Sukhinin %A A. K. Zhumadillayeva %T Wave transmission and reflection from the boundary of phononic crystal – homogeneous medium %J Eurasian journal of mathematical and computer applications %D 2020 %P 62-75 %V 8 %N 1 %U http://geodesic.mathdoc.fr/item/EJMCA_2020_8_1_a3/ %G en %F EJMCA_2020_8_1_a3
Z. B. Saimanova; S. V. Sukhinin; A. K. Zhumadillayeva. Wave transmission and reflection from the boundary of phononic crystal – homogeneous medium. Eurasian journal of mathematical and computer applications, Tome 8 (2020) no. 1, pp. 62-75. http://geodesic.mathdoc.fr/item/EJMCA_2020_8_1_a3/