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Method of numerical Green's function determination for far-field scattering solutions from objects at a

Aaron M Gunderson1, Marcia J Isakson1, Anthony L Bonomo1

  • 1Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78758, USA.

The Journal of the Acoustical Society of America
|October 9, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a numerical method to calculate Green's functions for predicting far-field scattering from seafloor objects. The technique bypasses complex analytical solutions, enabling efficient analysis of elastic targets in various environments.

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Area of Science:

  • Acoustics
  • Computational Physics
  • Geophysics

Background:

  • Calculating far-field scattering from submerged objects is crucial for geophysical and acoustic applications.
  • Traditional methods often rely on complex analytical Green's functions, which are challenging for intricate seafloor environments.

Purpose of the Study:

  • To present a novel numerical method for determining Green's functions.
  • To enable accurate calculation of far-field scattering from objects on or within the seafloor.

Main Methods:

  • Numerically evaluating Green's functions and their spatial derivatives directly.
  • Utilizing near-field solutions from finite element analysis (FEA) as input.
  • Applying the Helmholtz-Kirchhoff integral for far-field scattering computation.

Main Results:

  • Demonstrated effectiveness for elastic targets in free-field and flat seafloor scenarios.
  • Successfully determined far-field scattering without needing difficult analytical Green's functions.
  • The numerical Green's function approach integrated with FEA provides a robust scattering solution.

Conclusions:

  • The presented numerical Green's function method offers a practical alternative to analytical approaches for complex scattering problems.
  • This technique is potentially generalizable to targets at complex interfaces, including those with roughness and inhomogeneities.
  • The method enhances the ability to model acoustic interactions in realistic seafloor environments.