A. Abubakar and T.M. Habashy (USA)
Inverse Scattering, Iterative Technique, Contrast Source, Elastic Wave, Localized Approximation, Conjugate Gradi ent
This study focuses on the inverse scattering of objects em bedded in a homogeneous elastic background. The medium is probed by ultrasonic forces and the scattered fields are observed along a receiver array. The goal is to retrieve the shapes, locations, and constitutive parameters of the ob jects through an inversion procedure. The problem is for mulated using a vector integral equation. As it is known this inverse scattering problem is nonlinear and ill-posed. In a realistic configuration this nonlinear inverse scattering problem involves a large number of unknowns, hence the application of full nonlinear inversion approaches such as Gauss-Newton or nonlinear gradient methods might not be feasible even with present-day computer power. Hence in this study we employed the so-called Diagonalized Con trast Source Inversion (DCSI) method where the nonlinear problem is approximately transformed into a number of lin ear problems. We will show that by using a three-step pro cedure the nonlinear inverse problem can be solved at the cost of solving three constrained linear inverse problems. The robustness and efficiency of this approach is illustrated using a number of synthetic examples.
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