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Entropy rate defined by internal wave scattering in long-range propagation.

Andrey K Morozov1, John A Colosi2

  • 1Department of Applied Ocean Physics and Engineering, Woods Hole Oceanographic Institution, MS# 09, Woods Hole, Massachusetts 02543, USA.

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|October 3, 2015
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Summary
This summary is machine-generated.

Scattering by internal waves in ocean sound channels does not significantly limit data rates. This research clarifies the impact of internal waves on acoustic communication, finding minimal information loss.

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Area of Science:

  • Ocean acoustics
  • Wave propagation
  • Information theory

Background:

  • Internal waves are ubiquitous in oceans and can scatter acoustic signals.
  • Scattering by internal waves may reduce the information capacity of ocean sound channels, impacting acoustic communication and remote sensing.
  • Previous research has not fully clarified the influence of internal waves on data communication performance.

Purpose of the Study:

  • To rigorously calculate the entropy decrease caused by acoustic signal scattering from internal waves.
  • To assess the impact of internal wave scattering on the information capacity of ocean sound channels.
  • To determine if internal wave scattering poses a significant limitation for acoustic data transmission.

Main Methods:

  • Utilized second moment transport theory equations.
  • Modeled random sound-speed perturbations using the Garrett-Munk internal-wave model.
  • Calculated the full-wave rate of entropy for acoustic signals propagating through internal wave fields.

Main Results:

  • The calculated full-wave entropy rate is comparable to Kolmogorov-Sinai entropy and Lyapunov exponents.
  • A correspondence was found between full-wave scattering and ray chaos near statistical saturation.
  • The entropy rate was relatively small, indicating limited information loss.

Conclusions:

  • Scattering by internal waves is unlikely to be a critical limitation for acoustic data rates and channel capacity.
  • The findings suggest that ocean internal waves have a manageable impact on long-range acoustic communication.
  • Further research can build on these results to optimize underwater acoustic systems.