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

2024/12/16 by Thu Le, Le, Thu, Dinh-Liem Nguyen +1
Earth and Planetary Sciences · Engineering · Mathematics · #35R30 #78A46 #FOS: Mathematics #Geophysical and Geoelectrical Methods #Non-Destructive Testing Techniques #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2412.11825

openalex publication_date 2024/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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