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arXiv · 2306.00761

Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data

Thuy Le·Vo Anh Khoa·Michael Victor Klibanov·Loc Hoang Nguyen·Grant Bidney·Vasily Astratov
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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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Thuy Le, Vo Anh Khoa, Michael Victor Klibanov, Loc Hoang Nguyen, Grant Bidney, Vasily Astratov. 2023-06-01. Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data. https://arxiv.org/abs/2306.00761

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