Journal
APPLICABLE ANALYSIS
Volume 96, Issue 1, Pages 70-84Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2016.1188286
Keywords
Born approximation; Inverse scattering problem; Factorization Method
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Funding
- Deutsche Forschungsgemeinschaft (DFG) [CRC 1173]
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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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