Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave Functions
Near-field acoustic holography (NAH) is an effective tool for realizing accurate sound field reconstruction in three-dimensional space on the prerequisite that appropriate elementary wave functions are selected or constructed to match the characteristics of the sound sources. However, for elongated...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2023/9954054 |
| _version_ | 1797690245199691776 |
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| author | Xuxin Zhang Jingjun Lou Jinfang Lu Ronghua Li Shijian Zhu |
| author_facet | Xuxin Zhang Jingjun Lou Jinfang Lu Ronghua Li Shijian Zhu |
| author_sort | Xuxin Zhang |
| collection | DOAJ |
| description | Near-field acoustic holography (NAH) is an effective tool for realizing accurate sound field reconstruction in three-dimensional space on the prerequisite that appropriate elementary wave functions are selected or constructed to match the characteristics of the sound sources. However, for elongated sources, common wave functions, i.e., plane, cylindrical, or spherical waves, sometimes do not perform well during the sound field projections. To solve this problem, statistically optimized near-field acoustical holography combined with prolate spheroidal wave functions is proposed. In the approach, the sound field is expanded by a series of prolate spheroidal wave functions, whose wavefronts can be set nearly conformal to the elongated sources. Based on these wave functions, fewer expansion terms are required to model the sound field, and the need for regularization can be reduced during the inverse solving process. Therefore, the accuracy of the reconstruction results can be further improved. Numerical simulations are conducted by two types of elongated source models, namely, spatially separated and extended. The results show that the proposed method can effectively reconstruct the sound pressures of elongated sources and perform robustly across a wide frequency range. Simultaneously, a designed experiment is carried out in an anechoic chamber, which demonstrates the feasibility of the proposed method. |
| first_indexed | 2024-03-12T01:56:47Z |
| format | Article |
| id | doaj.art-06f7df2bc0274973838fdc39e80e6880 |
| institution | Directory Open Access Journal |
| issn | 1875-9203 |
| language | English |
| last_indexed | 2024-03-12T01:56:47Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj.art-06f7df2bc0274973838fdc39e80e68802023-09-08T00:00:03ZengHindawi LimitedShock and Vibration1875-92032023-01-01202310.1155/2023/9954054Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave FunctionsXuxin Zhang0Jingjun Lou1Jinfang Lu2Ronghua Li3Shijian Zhu4College of Power EngineeringCollege of Naval Architecture and Ocean EngineeringCollege of Power EngineeringCollege of Power EngineeringCollege of Naval Architecture and Ocean EngineeringNear-field acoustic holography (NAH) is an effective tool for realizing accurate sound field reconstruction in three-dimensional space on the prerequisite that appropriate elementary wave functions are selected or constructed to match the characteristics of the sound sources. However, for elongated sources, common wave functions, i.e., plane, cylindrical, or spherical waves, sometimes do not perform well during the sound field projections. To solve this problem, statistically optimized near-field acoustical holography combined with prolate spheroidal wave functions is proposed. In the approach, the sound field is expanded by a series of prolate spheroidal wave functions, whose wavefronts can be set nearly conformal to the elongated sources. Based on these wave functions, fewer expansion terms are required to model the sound field, and the need for regularization can be reduced during the inverse solving process. Therefore, the accuracy of the reconstruction results can be further improved. Numerical simulations are conducted by two types of elongated source models, namely, spatially separated and extended. The results show that the proposed method can effectively reconstruct the sound pressures of elongated sources and perform robustly across a wide frequency range. Simultaneously, a designed experiment is carried out in an anechoic chamber, which demonstrates the feasibility of the proposed method.http://dx.doi.org/10.1155/2023/9954054 |
| spellingShingle | Xuxin Zhang Jingjun Lou Jinfang Lu Ronghua Li Shijian Zhu Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave Functions Shock and Vibration |
| title | Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave Functions |
| title_full | Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave Functions |
| title_fullStr | Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave Functions |
| title_full_unstemmed | Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave Functions |
| title_short | Statistically Optimized Near-Field Acoustic Holography Using Prolate Spheroidal Wave Functions |
| title_sort | statistically optimized near field acoustic holography using prolate spheroidal wave functions |
| url | http://dx.doi.org/10.1155/2023/9954054 |
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