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Scattering from layered seafloors: Comparisons between theory and integral equations.

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This study compares acoustic scattering models for layered seafloors. A new integral equation model shows the latest small slope approximation is most accurate for rough seafloors.

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Area of Science:

  • Ocean acoustics
  • Geophysics
  • Wave scattering

Background:

  • Acoustic scattering from layered seafloors depends on geoacoustic properties and interface roughness.
  • Existing theoretical models (e.g., small roughness perturbation, Kirchhoff, small slope approximations) yield differing results for scattering and reflection coefficients.
  • There is a need to validate these models against a more comprehensive theoretical framework.

Purpose of the Study:

  • To present and validate an integral equation for acoustic scattering from a layered seafloor with rough interfaces.
  • To compare the accuracy of this integral equation with the small roughness perturbation method and two versions of the small slope approximation.
  • To determine the most accurate model for different levels of seafloor roughness.

Main Methods:

  • Development of an integral equation model for acoustic scattering from rough, layered seafloor interfaces.
  • Comparison of model predictions with established methods: small roughness perturbation and small slope approximations.
  • Analysis of scattering cross section and coherent reflection coefficient under varying root-mean-square (rms) roughness conditions.

Main Results:

  • The integral equation model provides a benchmark for evaluating other scattering theories.
  • The most recent small slope approximation (Jackson and Olson, 2020) demonstrates superior accuracy for large root-mean-square (rms) roughness.
  • Agreement between different models increases as the rms roughness decreases.

Conclusions:

  • The Jackson and Olson small slope approximation is recommended for modeling acoustic scattering from rough layered seafloors.
  • Model selection for seafloor acoustic scattering should consider the degree of interface roughness.
  • Further validation of scattering models is crucial for accurate geophysical and ocean acoustic applications.