Page 125 - 《应用声学》2023年第6期

第 42 卷 第 6 期 Vol. 42, No. 6
2023 年 11 月 Journal of Applied Acoustics November, 2023

⋄ 研究报告 ⋄

非均匀流体介质内部散射声场重建的逐层计算方法 ∗

唐少杰 1,2 向 宇 1,2† 石梓玉 1,2

(1 广西科技大学 广西汽车零部件与整车技术重点实验室 柳州 545006)
(2 广西科技大学机械与汽车工程学院 柳州 545006)

摘要：入射声波激励下非均匀流体介质内部散射声场的重建方法对超声层析成像具有重要意义。以往采用矩
量法求解，但该方法全域离散形成的复数满秩矩阵规模随着分辨率与计算精度的提高急剧增大，对算力具有
很高的要求，一定程度上限制了其在实际中的应用。为克服上述缺陷，以逐层离散、逐层计算为核心思想，以声
散射基本公式与近场声全息理论为基础，推导出逐层计算非均匀流体介质内部散射声场的理论公式并给出对
应的几何离散模型。为验证该方法的可行性，以矩量法为参照，对同样的介质模型进行介质内部声场重构仿
真。结果表明，逐层算法不仅可以有效地重建非均匀流体介质内部散射声场，且大幅度减小了求解规模。
关键词：逐层计算；近场声全息；非均匀流体介质内部散射声场；超声激励
中图法分类号: TB532 文献标识码: A 文章编号: 1000-310X(2023)06-1235-09
DOI: 10.11684/j.issn.1000-310X.2023.06.016

The layer-by-layer calculation method for reconstruction of scattered
sound field in inhomogeneous fluid media

TANG Shaojie 1,2 XIANG Yu 1,2 SHI Ziyu 1,2

(1 Key Laboratory of Automobile Componentand Vehicle Technology in Guangxi, Guangxi University of Science and
Technology, Liuzhou 545006, China)
(2 School of Mechanical and Traffic Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China)

Abstract: The reconstruction of scattered sound fields in inhomogeneous fluid media under the excitation of
incoming sound waves is of great importance to ultrasonic tomography. In the past, the method of moments
was used to solve the problem. However, the size of the complex full rank matrix formed by the method of
global discretization increases sharply with the improvement of resolution and calculation accuracy, which has
high requirements for computing power and limits its practical application to some extent. In order to overcome
these shortcomings, based on the basic formulas of acoustic scattering and near-field acoustic holography, the
theoretical formulas for calculating the scattered sound field in inhomogeneous fluid media layer by layer are
deduced and the corresponding geometric dispersion models are given. To verify the feasibility of this method,
the internal acoustic field reconstruction of the same media model is simulated with the method of moments
as the reference. The results show that the layer-by-layer algorithm can not only effectively reconstruct the
scattered sound field in non-uniform media, but also greatly reduce the solution size.
Keywords: Layer by layer calculation; Nearfield acoustic holography; Scattered sound field in inhomogeneous
fluid media; Ultrasonic excitation

2022-08-07 收稿; 2022-12-25 定稿
国家自然科学基金项目 (51775121)
∗
作者简介: 唐少杰 (1997– ), 男, 重庆人, 硕士研究生, 研究方向: 振动与噪声控制。
† 通信作者 E-mail: xiangyu@gxust.edu.cn