Remarks on the Born approximation and the Factorization Method |
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| Authors: | Andreas Kirsch |
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| Institution: | 1. Department of Mathematics, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany.andreas.kirsch@kit.edu |
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| Abstract: | In this paper, we compare the far-field operators for the full nonlinear inverse scattering problem with the Born approximation as its linearization. The Factorization Method shows that both operators share the same behavior with respect to illposedness of the inverse problem. The results are derived for acoustic and electromagnetic scattering problems and the corresponding problem in electrical impedance tomography. |
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| Keywords: | Born approximation Inverse scattering problem Factorization Method |
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