Study of various periodic acoustic lattices by two methods: Transfer matrix and Green's method

Mohamed Elmalki, A. Khettabi
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引用次数: 4

Abstract

The objective of this study is to analyse two kinds of periodic infinite lattices widely used in acoustic filtering. The first network is formed by periodic close resonators and the second by periodic open resonators. Then we realize a combination of these two systems and we study and compare the effect on the band gap. Resonators are filters often used to reduce noise. We calculate the dispersion relation theoretically and numerically in this paper by using the matrix transfer method. Then, the results obtained are compared with those of the Green's function method often used in solid state physics.
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用传递矩阵法和格林法研究各种周期声晶格
本研究的目的是分析两种广泛应用于声学滤波的周期无限格。第一网络由周期闭合谐振器构成,第二网络由周期开放谐振器构成。然后我们实现了这两种系统的结合,并研究和比较了这两种系统对带隙的影响。谐振器是通常用来降低噪声的滤波器。本文采用矩阵传递法对色散关系进行了理论和数值计算。然后,将所得结果与固体物理中常用的格林函数法进行了比较。
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