含缺陷一维声子晶体斜入射声波的透射特性研究

doi:10.16180/j.cnki.issn1007-7820.2023.11.011

摘要/Abstract

摘要：

声波在声子晶体周期结构中的传播具有能带效应,含缺陷声子晶体可在原有禁带中形成新的缺陷模式。文中通过传递矩阵法分别计算声波斜入射含缺陷和无缺陷声子晶体的全向透射谱,经对比分析发现了由固体缺陷引起的缺陷模式。在此基础上,研究了缺陷层厚度、位置对缺陷态透射率的影响。通过水下声传输实验对固体缺陷引起的缺陷模式的存在及其随角度变化的特征进行验证。实验结果表明,在含缺陷结构的全向透射谱第一Bragg禁带中存在新的透射通带,且在一定范围内随入射角度的增大,该通带对应的频率向高频方向偏移。文中完善了含缺陷一维声子晶体中斜入射声波的传播特性,为缺陷态实际应用提供了理论和实验基础。

关键词: 超声波, 流固超晶格, 缺陷态, Bragg禁带, 传递矩阵, 斜入射, 透射特性, 声能调控

Abstract:

The propagation of acoustic waves in the periodic structure of phononic crystals has energy band effects, and phononic crystals containing defects can form new defect modes in the original forbidden band. In this study, the omnidirectional transmission spectra of phononic crystals with and without defects in obliquely incident acoustic waves are calculated respectively by the transfer matrix method, and the defect modes caused by solid defects are found by comparative analysis. On this basis, the influence of the thickness and position of the defect layer on the transmittance of the defect state is studied in this study. The existence of defect modes caused by solid defects and their angle-dependent characteristics are verified by underwater acoustic transmission experiments. The experimental results show that there is a new transmission passband in the first Bragg forbidden band of the omnidirectional transmission spectrum of the defect-containing structure, and with the increase of the incident angle within a certain range, the frequency corresponding to this passband is shifted to the high frequency direction. This study improves the propagation characteristics of obliquely incident acoustic waves in one-dimensional phononic crystals containing defects, and provides a theoretical and experimental basis for the practical application of defect states.

Key words: ultrasonic, fluid-solid superlattice, defective state, Bragg forbidden band, transfer matrix, oblique incidence, transmission characteristics, sound energy regulation

中图分类号:

TN03

沈佳敏,范哲滔,徐桂东,徐晨光. 含缺陷一维声子晶体斜入射声波的透射特性研究[J]. 电子科技, 2023, 36(11): 76-82.

SHEN Jiamin,FAN Zhetao,XU Guidong,XU Chenguang. Study on the Transmission Characteristics of Oblique Incident Sound Waves in One-Dimensional Phononic Crystals with Defects[J]. Electronic Science and Technology, 2023, 36(11): 76-82.

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	密度 ρ/kg·m^-3	厚度 d/m	横波声速 c_t/m·s^-1	纵波声速 c_g/m·s^-1
A(PMMA)	1.18×10³	1.8×10^-3	1.3×10³	2.7×10³
B' (水)	1.00×10³	2.8×10^-3	-	1.5×10³
B' (水)	1.00×10³	1.8×10^-3	-	1.5×10³