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
收藏
页码:62 / 75
页数:14
相关论文
共 13 条
  • [1] [Anonymous], 1998, SIB ZH IND MAT
  • [2] Phononic crystals and elastodynamics: Some relevant points
    Aravantinos-Zafiris, N.
    Sigalas, M. M.
    Kafesaki, M.
    Economou, E. N.
    [J]. AIP ADVANCES, 2014, 4 (12)
  • [3] Ayzenberg-Stepanenko Mark, 2006, ANAL NUMERICAL MOD 1
  • [4] Brillouin L., 1959, PROPAGATION ONDES MI
  • [5] Gavrilyuk SL, 2017, LECT N GEOSYST MATH, P1, DOI 10.1007/978-3-319-49277-3
  • [6] Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook
    Hussein, Mahmoud I.
    Leamy, Michael J.
    Ruzzene, Massimo
    [J]. APPLIED MECHANICS REVIEWS, 2014, 66 (04)
  • [7] Konstantinov A.P., 2017, J PHYS IOP C SERIES, V894, P1
  • [8] Sonic crystals and sonic wave-guides
    Miyashita, T
    [J]. MEASUREMENT SCIENCE AND TECHNOLOGY, 2005, 16 (05) : R47 - R63
  • [9] Sukhinin S. V, 2015, ELECT COLLECTION REP, P13
  • [10] Sukhinin S. V., 1998, P 5 INT SEM STAB FLO, P98