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.
翻译:本文研究麦克斯韦方程组的逆散射问题。首先,我们通过远场算子的因子分解分析证明,双各向异性散射体可由多静态远场数据唯一确定。其次,我们研究了Le [2022 Inverse Problems 38 025007]中提出的正交采样方法的改进版本,用于散射体的数值重构。最后,我们将此采样方法应用于处理由菲涅耳研究所获得的未处理三维实验数据。文中同时提供了针对双各向异性目标合成散射数据的数值算例,以验证该方法的有效性。