On orthogonality sampling method for Maxwell’s equations and its applications to experimental data

This paper addresses the inverse scattering problem for Maxwell's equations. We first show that a bianisotropic scatterer can be uniquely determined from multi-static far-field data through the factorization analysis of the far-field operator. Next, we investigate a modified version of the orthogonality sampling method (OSM), as proposed in Le <i>et al.</i> (Le <i>et al.</i> 2022 <i>Inverse Probl.</i> <b>38</b>, 025007 (doi:10.1088/1361-6420/ac3d85)), for the numerical reconstruction of the scatterer. Finally, we apply this sampling method to invert unprocessed three-dimensional (3D) experimental data obtained from the Fresnel Institute. Numerical examples with synthetic scattering data for bianisotropic targets are also presented to demonstrate the effectiveness of the method.This article is part of the theme issue 'Frontiers of applied inverse problems in science and engineering'.