Numerical Verification of the Convexification Method for a Frequency-Dependent Inverse Scattering Problem with Experimental Data.

Autor: Le, T., Khoa, V. A., Klibanov, M. V., Nguyen, L. H., Bidney, G. W., Astratov, V. N.
Zdroj: Journal of Applied & Industrial Mathematics; Sep2023, Vol. 17 Issue 4, p908-927, 20p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index