Abstract
The reconstruction of physical properties of a medium from boundary measurements, known as inverse scattering problems, presents significant challenges. The present study aims to validate a newly developed convexification method for a 3D coefficient inverse problem in the case of buried unknown objects in a sandbox, using experimental data collected by a microwave scattering facility at The University of North Carolina at Charlotte. Our study considers the formulation of a coupled quasilinear elliptic system based on multiple frequencies. The system can be solved by minimizing a weighted Tikhonov-like functional, which forms our convexification method. Theoretical results related to the convexification are also revisited in this work.
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ACKNOWLEDGMENTS
V. A. Khoa thanks Dr. Darin Ragozzine (Brigham Young University, USA) for the recent support of his research career.
Funding
V. A. Khoa was supported by NSF grant no. DMS-2316603. L. H. Nguyen was supported by NSF Grant no. DMS-2208159.
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Le, T., Khoa, V.A., Klibanov, M.V. et al. Numerical Verification of the Convexification Method for a Frequency-Dependent Inverse Scattering Problem with Experimental Data. J. Appl. Ind. Math. 17, 908–927 (2023). https://doi.org/10.1134/S199047892304018X
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DOI: https://doi.org/10.1134/S199047892304018X