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Cakoni, Fioralba; Kovtunenko, Victor A, E-mail: fc292@math.rutgers.edu, E-mail: victor.kovtunenko@uni-graz.at2018
AbstractAbstract
[en] The inverse scattering problem for inhomogeneous media is considered within the topology optimization framework. Varying the complex-valued refractive index we derive a zero-order necessary optimality condition in minimizing the L 2 misfit cost functional of the far-field measurement. The topology asymptotic expansion of the optimality condition leads to an imaging operator, which is used to identify the center of the unknown inhomogeneity using few far-field measurements. Numerical tests show high precision and stability in the reconstruction using our optimality condition based imaging both in two and three dimensions. (paper)
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Available from http://dx.doi.org/10.1088/1361-6420/aaa997; Country of input: International Atomic Energy Agency (IAEA)
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