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The main goal of the inverse scattering problems is the reconstruction of quantitative properties of the media based on measurements in set of the scattering experiments. It is supposed, that there are a background media with the known structure and a localized area of a limited volume with unknown structure (inhomogeneity) inside it. The determination of the inhomogeneity properties is required. Problems of the reconstruction or a more accurate definition of the inhomogeneity shape with the known media properties are also some types of the inverse scattering problem. The measurement data or so-called "scattering data" give the possibility to solve our task with a certain accuracy and with or without a uniqueness.
Valentin A. Burov andAlexander V. Saskovets
"Scalar inverse-scattering problems: iterative methods of solution", Proc. SPIE 1843, Analytical Methods for Optical Tomography, (3 November 1992); https://doi.org/10.1117/12.131893
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Valentin A. Burov, Alexander V. Saskovets, "Scalar inverse-scattering problems: iterative methods of solution," Proc. SPIE 1843, Analytical Methods for Optical Tomography, (3 November 1992); https://doi.org/10.1117/12.131893