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Constructing acoustic timefronts using random matrix theory.

Katherine C Hegewisch1, Steven Tomsovic

  • 1Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814.

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Summary
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This study introduces random matrix theory for long-range acoustic propagation, developing an efficient method to analyze acoustic timefronts and understand ocean environments from sound data.

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Area of Science:

  • Ocean Acoustics
  • Wave Propagation
  • Statistical Physics

Background:

  • Long-range acoustic propagation in the ocean is influenced by sound speed fluctuations from internal waves.
  • Previous work introduced random matrix theory for acoustic mode scattering.

Purpose of the Study:

  • To provide a comprehensive account of random matrix theory for acoustic propagation.
  • To extend these methods for constructing ensembles of acoustic timefronts.
  • To enable efficient statistical analysis of timefronts and their relation to oceanographic data.

Main Methods:

  • Developed a random matrix theory framework using unitary propagation matrices.
  • Modeled scattering between acoustic modes with power-law decay based on mode number differences.
  • Constructed ensembles of acoustic timefronts using the developed theory.

Main Results:

  • The random matrix theory generates a power-law, banded, random unitary matrix ensemble.
  • The new method efficiently studies statistical properties of timefronts at various ranges.
  • Results show good agreement with traditional parabolic equation methods.
  • The approach facilitates deducing ocean environmental information from timefront data.

Conclusions:

  • Random matrix theory offers an efficient and accurate method for analyzing long-range acoustic propagation and timefronts.
  • This framework connects acoustic data features to specific ocean environmental information.
  • The study highlights the utility of random matrix theory in disordered waveguide contexts, building on a long history in physics.