Study on time-reversal focusing characteristics of the source located in periodic/ random array structures

Jia-Min  Shen; Yue-Chao  Liu; Gui-Dong  Xu; Chen-Guang  Xu; Bai-Qiang  Xu; Sai  Zhang

doi:10.6180/jase.202501_28(1).0001

Study on time-reversal focusing characteristics of the source located in periodic/ random array structures

Physics

Jia-Min Shen¹, Yue-Chao Liu²This email address is being protected from spambots. You need JavaScript enabled to view it., Gui-Dong Xu¹, Chen-Guang Xu¹, Bai-Qiang Xu¹, and Sai Zhang¹This email address is being protected from spambots. You need JavaScript enabled to view it.

¹Department of Physics, Jiangsu University, Zhenjiang 212013, China

²Dept Math & Phys, Hebei Key Lab Phys & Energy Technol, North China Electric Power University, Baoding 071003, China

Received: December 18, 2023
Accepted: January 29, 2024
Publication Date: March 8, 2024

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202501_28(1).0001

Time reversal (TR) serves as a crucial method for addressing sound source localization challenges in intricate structures. Previous studies have indicated that introducing a random scattering layer between the source and the receiving array significantly enhances the effectiveness of TR focusing. Nevertheless, the situation of a source situated within the scattering layer have not been deeply studied. In this work, the acoustic field characteristics and the effects of TR focusing for the source located in periodic phononic crystals, weakly disordered phononic crystals, and random scattering structures are investigated. To begin, employing acoustic reciprocity theory, a two-dimensional theoretical method and model are established for these structures. Subsequently, finite element simulations are executed to study the characteristics of the forward-propagating acoustic field. Building upon this foundation, the TR focusing characteristics of the source within these structures are analyzed, revealing that strong disorder is crucial for achieving high-resolution focusing. Moreover, the influence of the number of array elements on TR focusing characteristics is explored. The results indicate that random scattering structures can achieve high-resolution focusing using a single array element, which cannot be achieved in homogeneous media, periodic phononic crystals, or weakly disordered phononic crystals. This phenomenon is attributed to the degree of correlation between scattering field transmission paths. Our study demonstrates that the source within the structure can attain effective localization through TR, expanding the practical applications of TR and carrying substantial research implications for fields such as acoustic detection and source localization in complex structures.

Keywords: Periodic phononic crystals; Weakly disordered phononic crystals; Random scattering; Time reversal; Source focusing

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