声波在三维周期介质中的传播:弥散、集群和局部间隙

IF 2.3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Yuri A. Godin, Boris Vainberg
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引用次数: 0

摘要

我们对声波在三维无限介质中的传播进行了理论研究,该介质包含由任意形状的相同小夹杂物组成的周期性阵列,其界面上有透射条件。夹杂物尺寸 a 远远小于阵列周期。我们提出了频散关系,并表明在一些特殊频率下,解法是沿几个不同方向传播的波群。不同的波簇可能包含方向相同的波,波的频率取决于波簇,而与波的方向无关。我们证明,如果 a 足够小,全局间隙是不存在的。我们引入并讨论了局部间隙的概念,它取决于波向量 k 的选择。我们确定了由相同夹杂物组成的简单立方晶格介质的局部间隙位置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Propagation of acoustic waves in 3D periodic media: Dispersion, clusters, and local gaps
We present a theoretical study of the propagation of acoustic waves in a 3D infinite medium containing a periodic array of small identical inclusions of arbitrary shape with transmission conditions on their interfaces. The inclusion size a is much smaller than the array period. We present the dispersion relation and show that there are exceptional frequencies for which the solution is a cluster of waves propagating in several different directions. Different clusters may contain waves with the same direction, and the frequencies of the waves depend on the clusters but not on the direction of waves. We show that global gaps do not exist if a is small enough. The notion of local gaps which depends on the choice of the wavevector k, is introduced and discussed. The location of local gaps for a medium with a simple cubic lattice of identical inclusions is determined.
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来源期刊
Physics Letters A
Physics Letters A 物理-物理:综合
CiteScore
5.10
自引率
3.80%
发文量
493
审稿时长
30 days
期刊介绍: Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.
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