Investigation of acoustic scattering using fast-multipole Padé approximant methods
The scattering of acoustic waves from three-dimensional compressible fluid scatterers is considered. Particular attention is paid to cases where the scatterers have moderate magnitude in compressibility contrast and nondimensional wave number. The scattered field is cast in terms of asymptotic serie...
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| Published in: | The Journal of the Acoustical Society of America Vol. 137; no. 4_Supplement; p. 2295 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
01-04-2015
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| Online Access: | Get full text |
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| Summary: | The scattering of acoustic waves from three-dimensional compressible fluid scatterers is considered. Particular attention is paid to cases where the scatterers have moderate magnitude in compressibility contrast and nondimensional wave number. The scattered field is cast in terms of asymptotic series valid in the limit of small compressibility contrast. It has been shown that pointwise application Padé Approximants in the scattering volume may be used to expand the range of validity of the result. However pointwise divergence in the scattering volume can result as the magnitude of the compressibility contrasted is increased. In this work the utility of low-frequency Fast-multipole method in evaluating the Born series coefficients is examined. |
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| ISSN: | 0001-4966 1520-8524 |
| DOI: | 10.1121/1.4920378 |