A scattering matrix method for analyzing acoustic plane-wave scattering by rigid objects in semi-infinite media

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-04-29 DOI:10.1016/j.enganabound.2025.106260

Jincheng Qin , Kei Matsushima

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Abstract

Various applications are related to the plane-wave scattering by an obstacle near the interface between two different kinds of isotropic and homogeneous media. The analysis of such a problem asks for an efficient numerical method. To this end, this study proposes a scattering matrix method for evaluating scattering fields by acoustically rigid scatterers with arbitrary shapes. The basic idea is to incorporate the scattering matrix method into the spectral analysis. In such a way we can discuss the interaction between the reflection and diffraction of waves based on the Fourier transform and the convolution theorem. Representing the interacted behaviors of waves with a scattering matrix frees us from the resource-demanding evaluations of Green’s function for solving such a problem. Instead of specifying a constant reflection coefficient, the proposed method enables characterizing the reflecting wall with the impedance boundary condition, which more accurately simulates the reflection effects of various materials. After numerically validating the proposed method with a generalized method of image. We exemplify our methods through the evaluations of acoustic waves in a half-space as well as in a waveguide.

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半无限介质中刚性物体对声平面波散射的散射矩阵法

在两种不同的各向同性和均质介质之间的界面附近，障碍物对平面波的散射有各种各样的应用。分析这类问题需要一种有效的数值方法。为此，本研究提出了一种计算任意形状声刚性散射体散射场的散射矩阵法。其基本思想是将散射矩阵法纳入光谱分析。这样，我们就可以根据傅里叶变换和卷积定理来讨论波的反射和衍射之间的相互作用。用散射矩阵表示波的相互作用行为使我们摆脱了求解此类问题所需的格林函数的资源要求评价。该方法不需要指定一个恒定的反射系数，而是用阻抗边界条件来表征反射壁，更准确地模拟了各种材料的反射效应。用广义图像方法对该方法进行了数值验证。我们通过评估半空间和波导中的声波来举例说明我们的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.