WAVE TRANSMISSION AND REFLECTION FROM THE BOUNDARY OF PHONONIC CRYSTAL - HOMOGENEOUS MEDIUM

被引：3

作者：

Saimanova, Z. B. ^{[1
]}

Sukhinin, S., V ^{[2
]}

Zhumadillayeva, A. K. ^{[1
]}

机构：

[1] LN Gumilyov Eurasian Natl Univ, Nur Sultan, Kazakhstan

[2] Lavrentyev Inst Hydrodynam SB RAS, Novosibirsk, Russia

来源：

EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2020年 / 8卷 / 01期

关键词：

boundary of phononic crystal - homogeneous medium; wave transmission; mathematical model;

D O I：

10.32523/2306-6172-2020-8-1-62-75

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：62 / 75

页数：14

共 50 条

[21] Energy trapping in a phononic crystal cavity enhanced by nonreciprocal acoustic wave transmission
Dhillon, Jyotsna
Walker, Ezekiel
Krokhin, Arkadii
Neogi, Arup
APPLIED ACOUSTICS, 2023, 203
[22] REFLECTION AND TRANSMISSION OF A PLANE ELECTROMAGNETIC WAVE AT A FAST MOVING BOUNDARY
FUJITA, H
MURAMATS.H
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1968, 56 (09): : 1605 - &
[23] EFFECT OF A MOVING BOUNDARY ON REFLECTION AND TRANSMISSION OF A PLANE ELECTROMAGNETIC WAVE
FUJITA, H
YANASE, T
IUCHIDA, S
ELECTRONICS & COMMUNICATIONS IN JAPAN, 1970, 53 (10): : 87 - &
[24] Reflection and transmission of the longitudinal wave at an achiral-chiral boundary
Yang, SK
Hsia, SY
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1997, 36 (3A): : 1201 - 1208
[25] Acoustic wave transmission channel based on phononic crystal line defect state
Han, Jianning
Tang, Shuai
Wang, Rui
Wang, Wen
AIP ADVANCES, 2019, 9 (06)
[26] Bloch-wave expansion technique for predicting wave reflection and transmission in two-dimensional phononic crystals
Kulpe, Jason A.
Sabra, Karim G.
Leamy, Michael J.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2014, 135 (04): : 1808 - 1819
[27] Transmission and reflection from a disordered lasing medium
Joshi, SK
Jayannavar, AM
PHYSICAL REVIEW B, 1997, 56 (19): : 12038 - 12041
[28] Transmission characteristics of longitudinal vibration of a phononic crystal rod with concentrated mass boundary condition
Shu, Hai-Sheng
Liu, Shao-Gang
Wang, Wei-Yuan
Zhao, Dan
Zhang, Fa
Zhendong yu Chongji/Journal of Vibration and Shock, 2012, 31 (19): : 113 - 117
[29] Reflection of a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers
V. V. Shumilova
Computational Mathematics and Mathematical Physics, 2015, 55 : 1188 - 1199
[30] Reflection of a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers
Shumilova, V. V.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2015, 55 (07) : 1188 - 1199

← 1 2 3 4 5 →