English

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

Numerical Analysis 2025-02-03 v4 Numerical Analysis

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.

Keywords

Cite

@article{arxiv.2412.11825,
  title  = {On orthogonality sampling method for Maxwell's equations and its applications to experimental data},
  author = {Thu Le and Dinh-Liem Nguyen},
  journal= {arXiv preprint arXiv:2412.11825},
  year   = {2025}
}

Comments

13 pages, 5 figures

R2 v1 2026-06-28T20:37:07.882Z