Geodesic
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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, wave transmission, mathematical model. 
@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 {\textendash} homogeneous medium},
     journal = {Eurasian journal of mathematical and computer applications},
     pages = {62--75},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2020},
     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
PB  - mathdoc
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
%I mathdoc
%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/