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Inversion of penetrable obstacles from far-field data on narrow angular apertures

Warner1, Roy, Bucaro

  • 1Naval Research Laboratory, Washington, D.C. 20375-5350, USA.

The Journal of the Acoustical Society of America
|March 30, 2000
PubMed
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This study reconstructs acoustic obstacle shapes and materials using limited-angle scattering data. The novel algebraic inversion method is efficient and parallelizable for practical applications.

Area of Science:

  • Acoustics
  • Inverse Problems
  • Computational Physics

Background:

  • Reconstructing object properties from scattered waves is crucial in many fields.
  • Traditional methods often require extensive data or complex integral equations.
  • Practical remote sensing limits data collection angles and apertures.

Purpose of the Study:

  • To develop and demonstrate a novel method for reconstructing acoustic properties of 2D obstacles.
  • To achieve accurate shape and material parameter inversions using limited far-field scattering data.
  • To validate the method under practical data acquisition constraints.

Main Methods:

  • Utilized far-field scattering patterns from multiple incident plane acoustic waves.
  • Employed "near-monostatic" (2-degree aperture) and "duostatic" (backscatter + 1 angle) data.

Related Experiment Videos

  • Developed an algebraic inversion formalism, avoiding integral equations.
  • Implemented a Gauss-Newton type inversion algorithm.

    • Main Results:

    • Successfully reconstructed shape and material parameters of homogeneous, penetrable acoustic obstacles.
    • Demonstrated effective inversion using limited angular data (less than 2π).
    • Showcased the inherent parallelizability of the developed inversion algorithm.

    Conclusions:

    • The proposed algebraic inversion method is effective for acoustic obstacle reconstruction.
    • The method performs well under practical, limited-data acquisition scenarios.
    • The parallelizable nature of the algorithm enhances its computational efficiency.