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On multidimensional ultrasonic scattering in an inhomogeneous elastic background
E J Aymé-Bellegarda1, T M Habashy
1IBM T. J. Watson Research Center, Yorktown Heights, New York 10598.
The Journal of the Acoustical Society of America
|June 1, 1992
Summary
This study models elastic wave scattering from embedded objects using vector integral equations. An iterative inversion scheme improves reconstruction accuracy for elastic wave inverse problems.
Area of Science:
- Geophysics
- Wave Propagation
- Computational Physics
Background:
- Modeling elastic wave scattering is crucial for understanding wave phenomena in complex media.
- Previous methods often lack generality and are dependent on specific geometries or transmitter-receiver setups.
Purpose of the Study:
- To develop a general framework for modeling elastic wave scattering by embedded objects in inhomogeneous elastic backgrounds.
- To establish a unified approach for both forward and inverse scattering problems.
Main Methods:
- Utilizing vector integral equations for elastic scattering.
- Applying a Born approximation for inhomogeneous backgrounds in both forward and inverse modeling.
- Implementing an iterative inversion scheme alternating forward and inverse steps.
Main Results:
- A closed-form expression for the scattered field in the forward model.
- Linearization for multiparameter object characteristics in the inverse model.
- Demonstrated improvement in resolution and accuracy of the reconstruction algorithm.
Conclusions:
- The developed framework is independent of problem geometry and transmitter-receiver characteristics.
- The iterative inversion scheme effectively enhances the accuracy of elastic scattering reconstructions.
- This approach offers a robust method for analyzing wave interactions with embedded objects.