Negative refraction of acoustic waves in a tow-dimensional square zigzag lattice structure

Sheng-Dong Zhao, Yuesheng Wang
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Abstract

The negative refraction behavior and imaging effect for acoustic waves in a kind of two-dimensional square zigzag lattice structure are studied in this paper. Through the finite element method based on COMSOL we calculate the band structures and the equivalent frequency surfaces (EFS) of the considered system, thereby confirming the frequency range where the negative refraction presented. Due to the existence of a rotational symmetry in the calculated structure, a phase difference can be induced to the waves generated from a point source and a deviated negative refraction imaging can be achieved. This kind of phenomenon is also demonstrated by the simulation of two Gaussian beams incident to the structure from different direction with the same angle.
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二维方形之字形晶格结构中声波的负折射
研究了声波在二维方形之字形晶格结构中的负折射行为及其成像效应。通过基于COMSOL的有限元方法计算了所考虑系统的频带结构和等效频率面(EFS),从而确定了出现负折射的频率范围。由于计算结构中存在旋转对称性,可以使点源产生的波产生相位差,从而实现偏移负折射成像。两束高斯光束以相同角度从不同方向入射到结构上的模拟也证明了这种现象。
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