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.

翻译：从边界测量值重建介质物理性质（即逆散射问题）面临重大挑战。本研究旨在利用夏洛特北卡罗来纳大学微波散射实验设施收集的实验数据，验证一种新开发的凸化方法在沙箱中埋藏未知目标的三维系数逆问题中的应用。我们基于多频率构建了耦合拟线性椭圆系统的公式，通过最小化加权类吉洪诺夫泛函来求解该系统，这构成了我们的凸化方法。本文还重新讨论了与凸化相关的理论结果。