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首页> 外文期刊>Optical and quantum electronics >Locally resonant phononic crystals band-gap analysis on a two dimensional phononic crystal with a square and a triangular lattice
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Locally resonant phononic crystals band-gap analysis on a two dimensional phononic crystal with a square and a triangular lattice

机译：具有正方形和三角形晶格的二维声子晶体上的局部共振声子晶体带隙分析

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摘要

Locally resonant phononic crystals (LRPC) are a new type of sound insulating material. Using the plane wave expansion method based on the Bloch theorem, we compute the band structure of two dimensional (2D) phononic crystals (PC) with square and triangular lattices. Such PC typically consists of infinitely long carbon rods coated with silicon rubber and embedded in an elastic background. Computational results show that gaps appear at the lower frequency range, which are lower than those expected from the Bragg mechanism. Those gaps are generated due to local resonances; the optimum gap is obtained by tuning the thickness ratio of the coating layer. The gap created by the LRPC depends on the filling fraction of the coating cylinders.
机译：局部共振声子晶体（LRPC）是一种新型的隔音材料。使用基于Bloch定理的平面波展开方法，我们计算了具有正方形和三角形晶格的二维（2D）声子晶体（PC）的能带结构。这种PC通常由涂有硅橡胶并嵌入弹性背景中的无限长的碳棒组成。计算结果表明，在较低的频率范围内出现间隙，该间隙低于布拉格机制所预期的间隙。这些间隙是由于局部共振而产生的。通过调整涂层的厚度比可获得最佳间隙。 LRPC产生的间隙取决于涂布滚筒的填充率。

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