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Multi-Pole Representation of Small Acoustic Sources

Published online by Cambridge University Press:  05 May 2011

Fadil Santosa  and
William W. Symes
Fadil Santosa*
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A.
William W. Symes*
Affiliation:
Department of Computational and Applied Mathematics, Rice University, Houston, TX 77251, U.S.A.
*
*Professor
*Professor
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Abstract

Band-limited acoustic sources of small spatial extent produce radiation patterns well approximated by those of multi-poles. Assumed limits on dimensionless size Ka and source efficiency lead to explicit rules for the necessary length of the multi-pole series.

Keywords

Acoustic wave propagationsource modelingmulti-pole expansionfar-field pattern
Type
Invited Paper
Information
Journal of Mechanics , Volume 16 , Issue 1 , March 2000 , pp. 15 - 21
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2000

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References

REFERENCES

1Colton, D. and Kress, R., Inverse Acoustic and Electromagnetic Scattering Theory, Springer-Verlag (1992).Google Scholar
2Dowling, A. and Ffowcs Williams, J., Sound and Sources of Sound, Ellis Horwood, Chichester pp. 150–153 (1983).Google Scholar
3Pierce, A., Acoustics: An Introduction to Its Physical Principles and Applications, Acoustical Soc. Am., pp. 169–171 (1989).Google Scholar
4Minkoff, S. and Symes, W., “Full waveform inversion of marine reflection data,” Geophysics, 62, pp. 540–553 (1997).CrossRefGoogle Scholar
5Abramowicz, M. and Stegun, I., Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables, Dover Publications (1974).Google Scholar
6Jones, D., Acoustic and Electromagnetic Waves, Oxford University Press (1986).Google Scholar