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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

Summary

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.

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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.
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.