Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations
We propose a numerical surface integral method to study complex acoustic systems, for interior and exterior problems. The method is based on a parametric representation in terms of the arc’s lengths in curvilinear orthogonal coordinates. With this method, any geometry that involves quadric or higher...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2016-03-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1653 |
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| author | Juan Antonio GUEL-TAPIA Francisco VILLA-VILLA Alberto MENDOZA-SUÁREZ Héctor PÉREZ-AGUILAR |
| author_facet | Juan Antonio GUEL-TAPIA Francisco VILLA-VILLA Alberto MENDOZA-SUÁREZ Héctor PÉREZ-AGUILAR |
| author_sort | Juan Antonio GUEL-TAPIA |
| collection | DOAJ |
| description | We propose a numerical surface integral method to study complex acoustic systems, for interior and exterior problems. The method is based on a parametric representation in terms of the arc’s lengths in curvilinear orthogonal coordinates. With this method, any geometry that involves quadric or higher order surfaces, irregular objects or even randomly rough surfaces can be considered. In order to validate the method, the modes in cubic, spherical and cylindrical cavities are calculated and compared to analytical results, which produced very good agreement. In addition, as examples, we calculated the scattering in the far field and the near field by an acoustic sphere and a cylindrical structure with a rough cross-section. |
| format | Article |
| id | doaj-art-6d155d3b388f41ee957cc078bb3ec1ae |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2016-03-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-6d155d3b388f41ee957cc078bb3ec1ae2025-08-20T03:11:52ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2016-03-0141310.1515/aoa-2016-0045Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral EquationsJuan Antonio GUEL-TAPIA0Francisco VILLA-VILLA1Alberto MENDOZA-SUÁREZ2Héctor PÉREZ-AGUILAR3Centro de Investigaciones en ÓpticaCentro de Investigaciones en ÓpticaUniversidad Michoacana de San Nicolás de HidalgoUniversidad Michoacana de San Nicolás de HidalgoWe propose a numerical surface integral method to study complex acoustic systems, for interior and exterior problems. The method is based on a parametric representation in terms of the arc’s lengths in curvilinear orthogonal coordinates. With this method, any geometry that involves quadric or higher order surfaces, irregular objects or even randomly rough surfaces can be considered. In order to validate the method, the modes in cubic, spherical and cylindrical cavities are calculated and compared to analytical results, which produced very good agreement. In addition, as examples, we calculated the scattering in the far field and the near field by an acoustic sphere and a cylindrical structure with a rough cross-section.https://acoustics.ippt.pan.pl/index.php/aa/article/view/1653integral equationsHelmholtz equationacoustic scattering. |
| spellingShingle | Juan Antonio GUEL-TAPIA Francisco VILLA-VILLA Alberto MENDOZA-SUÁREZ Héctor PÉREZ-AGUILAR Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations Archives of Acoustics integral equations Helmholtz equation acoustic scattering. |
| title | Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations |
| title_full | Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations |
| title_fullStr | Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations |
| title_full_unstemmed | Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations |
| title_short | Acoustic Scattering of 3D Complex Systems Having Random Rough Surfaces by Scalar Integral Equations |
| title_sort | acoustic scattering of 3d complex systems having random rough surfaces by scalar integral equations |
| topic | integral equations Helmholtz equation acoustic scattering. |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1653 |
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