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晶格中的共振波与局域化现象。

Resonant waves and localization phenomena in lattices.

作者信息

Abdukadirov Sagdulla A, Ayzenberg-Stepanenko Mark V, Osharovich Gregory G

机构信息

Institute of Architecture and Civil Engineering, Tashkent, Uzbekistan.

Ben-Gurion University of the Negev, Beer-Sheva, Israel.

出版信息

Philos Trans A Math Phys Eng Sci. 2019 Oct 21;377(2156):20190110. doi: 10.1098/rsta.2019.0110. Epub 2019 Sep 2.

Abstract

Transient wave processes in mass-spring lattices excited by point oscillating sources are studied. Dispersion properties of uniform periodic three-dimensional (3D) square-cell and two-dimensional (2D) hexagonal-cell lattices including revealed star-shaped localization phenomena are analysed. The resonant-like waves and localization-like patterns in non-uniform lattices possessing predetermined and randomly distributed defects are numerically examined in order to identify the sensitivity of star-shape forms to different types of defects. This article is part of the theme issue 'Modelling of dynamic phenomena and localization in structured media (part 1)'.

摘要

研究了由点振荡源激发的质量-弹簧晶格中的瞬态波过程。分析了均匀周期三维(3D)方胞和二维(2D)六边形胞晶格的色散特性,包括揭示的星形局域化现象。对具有预定和随机分布缺陷的非均匀晶格中的类共振波和类局域化模式进行了数值研究,以确定星形形状对不同类型缺陷的敏感性。本文是主题为“结构化介质中动态现象和局域化的建模(第1部分)”的一部分。

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本文引用的文献

1
Self-guiding in two-dimensional photonic crystals.
Opt Express. 2003 May 19;11(10):1203-11. doi: 10.1364/oe.11.001203.
2
Theory of acoustic band structure of periodic elastic composites.
Phys Rev B Condens Matter. 1994 Jan 15;49(4):2313-2322. doi: 10.1103/physrevb.49.2313.

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