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

TL;DR

This paper develops and applies a modified orthogonality sampling method for solving inverse Maxwell scattering problems, demonstrating its effectiveness on synthetic and real experimental data for reconstructing bianisotropic targets.

Contribution

It introduces a modified orthogonality sampling method and applies it to real 3D experimental data for the first time in this context.

Findings

Successful reconstruction of bianisotropic scatterers from experimental data

Effective numerical results with synthetic scattering data

Proof of uniqueness for the inverse scattering problem

Abstract

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, as proposed in Le [2022 Inverse Problems 38 025007], for the numerical reconstruction of the scatterer. Finally, we apply this sampling method to invert unprocessed 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.