The inverse scattering problem from the multi-frequency backscattering data is a long-standing open problem. We advance the theory by proving a uniqueness result. Moreover, we introduce a direct sampling method for quantitatively reconstructing unknown inhomogeneities. Comprehensive numerical experiments validate the robustness, accuracy, and computational effectiveness of the proposed quantitative direct sampling method.
Publication: INVERSE PROBLEMS
http://dx.doi.org/10.1088/1361-6420/ae963b
Author:Yukun Guo,School of Mathematics, Harbin Institute of Technology, Harbin, People’s Republic of China
E-mail: ykguo@hit.edu.cn
Xiaodong Liu,State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China, Author to whom any correspondence should be addressed.
E-mail: xdliu@amt.ac.cn
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