声波通过多个半无限数组的衍射 (sa)
M A Nethercote1, A V Kisil1, R C Assier1
1Department of Mathematics, University of Manchester, Manchester, M13 9PL, United Kingdom.
The Journal of the Acoustical Society of America
|September 11, 2023
概括
这项研究扩展了Wiener-Hopf方法,通过多个周期性阵列的散射器来分析声波衍射. 新的离散维纳-霍夫技术能够解决以前用传统方法难以处理的复杂几何形状.
科学领域:
- 声学 声学 在声学方面
- 波波折射的波折射方式
- 数学物理学的数学物理.
背景情况:
- 分析方法对于声学至关重要.
- 维纳-霍夫法仅限于特定的边界条件.
- 之前的工作涉及点散射器单个数组.
研究的目的:
- 将声波衍射分析概括为.
- 开发一种离散的方法,非平行边界.
- 解决涉及多个周期性半无限数组的问题.
主要方法:
- 为每个数组构建结合式方程系统.
- 使用离散的维纳-霍夫技术.
- 使用初级矩阵算法反转矩阵方程.
主要成果:
- 成功地将维纳-霍夫法概括起来.
- 开发了一种用于任意定向和多重数组的技术.
- 获得了包括数千个散射器在内的准确的数值结果.
结论:
- 离散的Wiener-Hopf技术对于复杂的声波衍射是有效的.
- 这种方法克服了传统Wiener-Hopf应用程序的局限性.
- 提供了一个强大的工具来分析周期结构的散射.
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