{"title":"Acoustic Plane Wave Diffraction from a Circular Soft Ring","authors":"Victor Lysechko, D. Kuryliak","doi":"10.3813/aaa.919361","DOIUrl":null,"url":null,"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\n 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\n 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.","PeriodicalId":35085,"journal":{"name":"Acta Acustica united with Acustica","volume":"56 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Acustica united with Acustica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3813/aaa.919361","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
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.
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.
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