Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spot
The axisymmetric problem of scattering of a finite sound beam with an annular cross-section by an acoustically soft or immovable rigid sphere immersed in a fluid medium is considered. The pressure in the incident quasi-plane wave is represented in terms of the partial impact parameters by the superp...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2014-01-01
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| Series: | Archives of Acoustics |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/956 |
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| author | O. PIDDUBNIAK |
| author_facet | O. PIDDUBNIAK |
| author_sort | O. PIDDUBNIAK |
| collection | DOAJ |
| description | The axisymmetric problem of scattering of a finite sound beam with an annular cross-section by an acoustically soft or immovable rigid sphere immersed in a fluid medium is considered. The pressure in the incident quasi-plane wave is represented in terms of the partial impact parameters by the superposition of the spherical harmonics with the Lorentz multipole resonance distribution. The analysis of the total scattering cross-section vs frequency and wave beam parameters is performed. It is shown that a high-resolution of the total scattering cross-section resonances corresponding to the Franz creeping waves is achieved when the base rays of the incident wave are grazed on the sphere and the beam is narrowing. The particularities of these resonances are considered for the case of soft and rigid spheres. |
| format | Article |
| id | doaj-art-ef21ee97eee845eda05eb8c3ce78ca8c |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-ef21ee97eee845eda05eb8c3ce78ca8c2025-08-20T02:39:22ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-01-01223Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spotO. PIDDUBNIAK0Pidstrygach Institute of Applied Problems in Mechanics and Mathematics, National Academy of Sciences of UkraineThe axisymmetric problem of scattering of a finite sound beam with an annular cross-section by an acoustically soft or immovable rigid sphere immersed in a fluid medium is considered. The pressure in the incident quasi-plane wave is represented in terms of the partial impact parameters by the superposition of the spherical harmonics with the Lorentz multipole resonance distribution. The analysis of the total scattering cross-section vs frequency and wave beam parameters is performed. It is shown that a high-resolution of the total scattering cross-section resonances corresponding to the Franz creeping waves is achieved when the base rays of the incident wave are grazed on the sphere and the beam is narrowing. The particularities of these resonances are considered for the case of soft and rigid spheres.https://acoustics.ippt.pan.pl/index.php/aa/article/view/956 |
| spellingShingle | O. PIDDUBNIAK Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spot Archives of Acoustics |
| title | Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spot |
| title_full | Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spot |
| title_fullStr | Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spot |
| title_full_unstemmed | Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spot |
| title_short | Total scattering cross-section of a nondeformable sphere partially insonified at a circular annular spot |
| title_sort | total scattering cross section of a nondeformable sphere partially insonified at a circular annular spot |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/956 |
| work_keys_str_mv | AT opiddubniak totalscatteringcrosssectionofanondeformablespherepartiallyinsonifiedatacircularannularspot |