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Kirchhoff approximation for backscattering from a partially exposed rigid sphere at a flat interface.

Aaron M Gunderson1, Philip L Marston1

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

The Journal of the Acoustical Society of America
|December 3, 2016
PubMed
Summary
This summary is machine-generated.

The Kirchhoff approximation models sound backscatter from spheres at interfaces, but omits Franz-type reflections. This limitation affects accuracy for partially exposed objects in acoustics and underwater acoustics.

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Area of Science:

  • Acoustics
  • Wave Scattering
  • Numerical Modeling

Background:

  • The Kirchhoff approximation (KA) is a common method for modeling sound backscatter.
  • Accurate modeling of sound scattering from objects at interfaces is crucial in various fields.

Purpose of the Study:

  • To model sound backscatter from a partially exposed, rigid sphere at a free interface using the Kirchhoff approximation.
  • To compare KA results with experimental data and an exact solution to identify limitations.

Main Methods:

  • Numerical integration of the Kirchhoff integral on the sphere's illuminated region.
  • Modeling interface reflections using an image source.
  • Comparison with experimental backscattering records and an exact partial wave series.

Main Results:

  • The Kirchhoff approximation was applied to model sound backscatter from a partially exposed sphere.
  • Comparisons revealed that KA omits Franz-type reflections, leading to discrepancies.
  • The study discusses the consequences of omitting these specific reflection types.

Conclusions:

  • The Kirchhoff approximation provides a useful framework but has limitations due to omitted Franz-type reflections.
  • The findings are relevant for understanding scattering by partially buried underwater objects.
  • The methodology can be extended to more complex boundary conditions beyond ideal free surfaces.