dorsal/arxiv
View SchemaAcoustic scattering by periodic arrays of air-bubbles
| Authors | Zhen Ye |
|---|---|
| Categories | |
| ArXiv ID | physics/0411005 |
| URL | https://arxiv.org/abs/physics/0411005 |
| Journal | Acta Acustica 89, 435-444 (2003) |
Abstract
This paper considers acoustic scattering by and propagation through line and plane arrays of air-bubbles in liquid media. The self-consistent method is used to derive the effective scattering function of a single bubble embedded in the arrays, incorporating all multiple scattering processes. For the line case, an exact result is derived. In the plane array situation, only an approximate analytic result is possible. Numerical computations have been carried out to show the multiple scattering effects on wave scattering. It is shown that depending on the distance between bubbles the resonance peak of a single bubble can either be broadened or narrowed due to multiple scattering and it shows an oscillatory behavior as the distance changes. Meanwhile, the peak scattering amplitude is also be either enhanced or reduced. The previously predicted strong enhancement, however, is not evident. For plane arrays, the usual resonant scattering of a single bubble in absence of other bubbles can be suppressed by multiple scattering when the distance between bubbles is sufficiently small. As the distance increases, the resonant scattering starts to appear, and the resonance peak position is alternately shifted towards higher and lower values. Moreover, it is predicted that wave propagation through a plane bubble array can be significantly inhibited in a range of frequencies slightly higher than the natural frequency of a single bubble, possibly a useful feature for noise screening. The ambiguities in the previous results are pointed out.
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"abstract": "This paper considers acoustic scattering by and propagation through line and\nplane arrays of air-bubbles in liquid media. The self-consistent method is used\nto derive the effective scattering function of a single bubble embedded in the\narrays, incorporating all multiple scattering processes. For the line case, an\nexact result is derived. In the plane array situation, only an approximate\nanalytic result is possible. Numerical computations have been carried out to\nshow the multiple scattering effects on wave scattering. It is shown that\ndepending on the distance between bubbles the resonance peak of a single bubble\ncan either be broadened or narrowed due to multiple scattering and it shows an\noscillatory behavior as the distance changes. Meanwhile, the peak scattering\namplitude is also be either enhanced or reduced. The previously predicted\nstrong enhancement, however, is not evident. For plane arrays, the usual\nresonant scattering of a single bubble in absence of other bubbles can be\nsuppressed by multiple scattering when the distance between bubbles is\nsufficiently small. As the distance increases, the resonant scattering starts\nto appear, and the resonance peak position is alternately shifted towards\nhigher and lower values. Moreover, it is predicted that wave propagation\nthrough a plane bubble array can be significantly inhibited in a range of\nfrequencies slightly higher than the natural frequency of a single bubble,\npossibly a useful feature for noise screening. The ambiguities in the previous\nresults are pointed out.",
"arxiv_id": "physics/0411005",
"authors": [
"Zhen Ye"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"journal_ref": "Acta Acustica 89, 435-444 (2003)",
"title": "Acoustic scattering by periodic arrays of air-bubbles",
"url": "https://arxiv.org/abs/physics/0411005"
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