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Modified gradient approach to inverse scattering for binary objects in stratified media

Abstract : We are concerned herein with inverse scattering problems in stratified media and aspect-limited data configurations. In such configurations, the sources and receivers of the probing waves are located in a medium different from the one which contains the object under test. This results in a lack of information which enhances the inherent ill-posedness of the inverse problem. To make the problem more tractable, we assume that the test object is homogeneous with known constitutive parameters so that the inverse problem consists of reconstructing its shape and location. This non-linear inverse problem is solved using the modified gradient method in which the a priori information is introduced as a binary constraint. A cooling parameter is introduced at the same time, which allows us to control the evolution of the iterative process. The effectiveness of this algorithm is studied for three different physical applications.
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https://hal.archives-ouvertes.fr/hal-00641670
Contributor : Dominique Lesselier Connect in order to contact the contributor
Submitted on : Wednesday, November 16, 2011 - 2:03:58 PM
Last modification on : Thursday, June 17, 2021 - 3:47:08 AM

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Laurent Souriau, Bernard Duchêne, Dominique Lesselier, Ralph E. Kleinman. Modified gradient approach to inverse scattering for binary objects in stratified media. Inverse Problems, IOP Publishing, 1996, 12 (4), pp.487-508. ⟨10.1088/0266-5611/12/4/009⟩. ⟨hal-00641670⟩

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