Acoustic Plane Wave Diffraction from a Circular Soft Ring

Q1 Arts and Humanities

Acta Acustica united with Acustica Pub Date : 2019-07-01 DOI:10.3813/aaa.919361

Victor Lysechko, D. Kuryliak

引用次数: 1

Abstract

The paper presents the implementation of the rigorous method of analytical regularization to the canonical problem of axially-symmetric diff raction from a soft ring. The series equations of the problem are reduced to an infinite series of linear algebraic equations (ISLAE) and the technique of analytical regularization is applied. Finally, the resulting matrix equation is the ISLAE of the second kind and can be solved numerically by the truncation method with any desired accuracy. The near field in the vicinity of the aperture of the ring is presented in the form of maps of the normalised total field. The far field features of the ring are obtained and discussed. The validation of our calculation is confirmed by testing of the mode matching conditions and through the comparison of the results with those for a disc.

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圆形软环声平面波衍射

本文给出了用解析正则化的严格方法求解软环轴对称微分正则问题的实现。将该问题的级数方程简化为无穷级数线性代数方程(ISLAE)，并应用解析正则化技术。最后，所得到的矩阵方程为第二类ISLAE，可以用截断法进行数值求解，精度可达任意要求。环孔附近的近场以归一化总场的映射形式表示。得到并讨论了环的远场特征。通过模态匹配条件的测试，并与圆盘的结果进行比较，证实了计算的正确性。

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

Acta Acustica united with Acustica 物理-声学

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

6.8 months

期刊介绍： Cessation. Acta Acustica united with Acustica (Acta Acust united Ac), was published together with the European Acoustics Association (EAA). It was an international, peer-reviewed journal on acoustics. It published original articles on all subjects in the field of acoustics, such as • General Linear Acoustics, • Nonlinear Acoustics, Macrosonics, • Aeroacoustics, • Atmospheric Sound, • Underwater Sound, • Ultrasonics, • Physical Acoustics, • Structural Acoustics, • Noise Control, • Active Control, • Environmental Noise, • Building Acoustics, • Room Acoustics, • Acoustic Materials and Metamaterials, • Audio Signal Processing and Transducers, • Computational and Numerical Acoustics, • Hearing, Audiology and Psychoacoustics, • Speech, • Musical Acoustics, • Virtual Acoustics, • Auditory Quality of Systems, • Animal Bioacoustics, • History of Acoustics.