Abstract
In this paper we consider problems of determining the inhomogeneities inside cylindrical and rectangular bodies from the results of measuring a scalar field. These problems are reduced to the Lippmann–Schwinger equation. Observation points are located at a short distance from the body. A two-step algorithm for solving the inverse problem is used. At the first step, we reconstruct the field inside the body using the field at the observation points. At the second step, we reconstruct the inhomogeneity parameters using the obtained field values. The ill-conditioned matrix appear when using the large computational grids. In such situations, “artifacts” can appear. The presented results show the stability of approximate solutions.
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Evstigneev, R.O., Medvedik, M.Y. (2018). Reconstruction of Inhomogeneity Parameters by Measurements of Near Field Outside the Body. In: Beilina, L., Smirnov, Y. (eds) Nonlinear and Inverse Problems in Electromagnetics. PIERS PIERS 2017 2017. Springer Proceedings in Mathematics & Statistics, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-319-94060-1_3
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DOI: https://doi.org/10.1007/978-3-319-94060-1_3
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