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使用图厄-摩尔斯准周期横向谐振器实现声子带隙的可调谐性。

Tunability of acoustic band gaps using Thue Morse quasiperiodic lateral resonators.

作者信息

Zaky Zaky A, Antraoui Ilyas, Malki Mohamed El, Khettabi Ali, Sallah Mohammed

机构信息

Physics Department, Faculty of Science, Beni-Suef University, Beni Suef, 62514, Egypt.

Academy of Scientific Research and Technology (ASRT), Cairo, Egypt.

出版信息

Sci Rep. 2025 May 9;15(1):16183. doi: 10.1038/s41598-025-99716-z.

DOI:10.1038/s41598-025-99716-z
PMID:40346146
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12064698/
Abstract

In this paper, we have investigated the acoustic transmittance properties of a quasi-periodic waveguide structure based on generalized Thue-Morse sequences (GTMS(m,n)) using the transfer matrix method and finite element method. The structure consists of open and closed lateral resonators arranged non-periodically according to a well-defined recurrence relation. This work aims to examine the effect of the quasi-periodicity of our system on the characteristics of the acoustic band gap. The results show that varying the GTM (m, n) sequences and the parameters of successive repeats m and n control the number, position, and width of the acoustic band gap. Specifically, increasing the order of the GTMS(m,n) widens the central acoustic band gap and increases the number of band gaps between the frequency ranges of 300 Hz and 600 Hz. The creation of these acoustic band gaps is important for selectively filtering frequency intervals where the acoustic wave is completely reflected in order to control and reduce low-frequency noise. On the other hand, we have analyzed the behavior of narrow transmittance peaks localized in the central acoustic band gap. These transmittance peaks are created through the wave interference phenomena resulting from the quasi-periodicity of the GTMS.

摘要

在本文中，我们使用转移矩阵法和有限元法研究了基于广义图厄 - 摩尔斯序列（GTMS(m,n)）的准周期波导结构的声透射特性。该结构由根据明确的递归关系非周期性排列的开放和封闭横向谐振器组成。这项工作旨在研究我们系统的准周期性对声子带隙特性的影响。结果表明，改变GTM(m,n)序列以及连续重复次数m和n的参数，可以控制声子带隙的数量、位置和宽度。具体而言，增加GTMS(m,n)的阶数会拓宽中心声子带隙，并增加300Hz至600Hz频率范围内的带隙数量。这些声子带隙的产生对于选择性地过滤声波完全反射的频率区间以控制和降低低频噪声非常重要。另一方面，我们分析了位于中心声子带隙中的窄透射峰的行为。这些透射峰是由GTMS的准周期性导致的波干涉现象产生的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/ed883656e989/41598_2025_99716_Fig14_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/ed883656e989/41598_2025_99716_Fig14_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/9a6566fbfc16/41598_2025_99716_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/272d69909785/41598_2025_99716_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/09cf50b94fa5/41598_2025_99716_Fig3_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/d356ff031d53/41598_2025_99716_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/1f0cdf1c697d/41598_2025_99716_Fig8_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/bfd0bc012219/41598_2025_99716_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/0d482477d8b2/41598_2025_99716_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/2ba1b32830f3/41598_2025_99716_Fig13_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/34e9/12064698/ed883656e989/41598_2025_99716_Fig14_HTML.jpg

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