Work

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

Year: 2025

Type: article

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 (OSM), as proposed in Le et al. (Le et al. 2022 Inverse Probl. 38 , 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’.

Source: Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rsta.2024.0051

Authors: Thu Le, Dinh-Liem Nguyen

Institutions: University of Wisconsin–Madison, Kansas State University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Novel Sampling Methods for Electromagnetic Inverse Scattering Theory