This article is cited in 4 papers

Wave transmission and reflection from the boundary of phononic crystal – homogeneous medium

Z. B. Saimanova^a, S. V. Sukhinin^b, A. K. Zhumadillayeva<sup>a

a</sup> L.N.Gumilyov Eurasian National University, Nur-Sultan, Republic of Kazakhstan
^b Lavrentyev Institute for Hydrodynamics SB RAS, Novosibirsk, Russia

Abstract: 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.

MSC: 20C32, 20G05, 35J05, 58J10, 35C05, 35R05

Language: English

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

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