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Some Characteristics of Virtual Modes in Shallow Water with High Speed Bottom

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Ocean Seismo-Acoustics

Part of the book series: NATO Conference Series ((MARS,volume 16))

Abstract

Seismic-acoustic properties of virtual (continuous spectrum) modes in an elastic waveguide are examined. Experimental observations made in a shallow water location in the Canadian Arctic Archipelago, where bottom compressional speeds are in excess of 4.5 km/sec, indicate that significant amounts of low frequency energy (lt;50 Hz) propagate with high speed to long range. The characteristics of this high speed energy are such that propagation occurs at preferred frequencies which can be associated with normal mode cutoffs. Moreover, there is a specific depth dependence of the energy in the water column at each frequency despite a high degree of time dispersion. Numerical results have been obtained using both a fast field program (FFP) technique and a normal mode approach applied to a layered elastic waveguide model of the location. The results are consistent with the experimental data and help define this unusual feature of shallow water propagation.

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References

  1. “Acoustics and the Sea-Bed”, Proceedings of an Institute of Acoustics Underwater Acoustics Group Conference edited by N.G. Pace, Bath University Press, Bath, UK (1983).

    Google Scholar 

  2. “Bottom-Interacting Ocean Acoustics”, NATO Conference Series IV: Marine Sciences edited by W.A. Kuperman and F.B. Jensen, Plenum Press, New York (1980).

    Google Scholar 

  3. G.W. Sander and A. Overton, Deep Seismic Refraction Investigation in the Canadian Arctic Archipelago, Geophysics, 30: 87 (1965).

    Article  Google Scholar 

  4. H. Schmidt, Modelling of pulse propgation in layered media using a new Fast-Field program, in “Hybrid Formulation of Wave Propagation and Scattering” edited by L.B. Felsen, NATO ASI Series, Nijhoff, Dordrecht (1984).

    Google Scholar 

  5. A.R. Milne, Shallow water under-ice acoustics in Barrow Strait, J. Acoust. Soc. Amer., 32: 1007 (1960).

    Article  Google Scholar 

  6. A.O. Williams, Jr., Pseudoresonances and virtual modes in underwater sound propagation, J. Acoust. Soc. Amer., 64: 1487 (1978).

    Article  Google Scholar 

  7. C.T. Tindle, Virtual modes and mode amplitudes near cutoff, J. Acoust. Soc. Amer., 65: 1423 (1979).

    Article  Google Scholar 

  8. F.M. LaBianca, Normal modes, virtual modes, and alternate representations in the theory of surface-duct sound propagation, J. Acous. Soc. Amer., 53: 1137 (1973).

    Article  Google Scholar 

  9. C.B. Officer, “Introduction to the theory of sound transmission”, McGraw-Hill, New York (1958).

    Google Scholar 

  10. G.H. Brooke and M.M.Z. Kharadly, Scattering by abrupt discontinuities on planar dielectric waveguides, IEEE Trans. Microwave Theory Tech., MTT-30: 760 (1982).

    Google Scholar 

  11. C.T. Tindle, Attenuation parameters from normal mode measurements, J. Acoust. Soc. Amer., 71: 1145 (1982).

    Article  Google Scholar 

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© 1986 Plenum Press, New York

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Brooke, G.H., Thomson, D.J., MacKinnon, R.F. (1986). Some Characteristics of Virtual Modes in Shallow Water with High Speed Bottom. In: Akal, T., Berkson, J.M. (eds) Ocean Seismo-Acoustics. NATO Conference Series, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2201-6_24

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  • DOI: https://doi.org/10.1007/978-1-4613-2201-6_24

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9293-7

  • Online ISBN: 978-1-4613-2201-6

  • eBook Packages: Springer Book Archive

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