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 \cite{Le2022}, for the numerical reconstruction of the scatterer. Finally, we apply this sampling method to invert unprocessed 3D experimental data obtained from the Fresnel Institute \cite{Geffrin2009}. 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,通过远场算子的因子分解分析,我们证明双各向异性散射体可由多静态远场数据唯一确定。接着,我们研究\cite{Le2022}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,我们将该采样方法应用于处理来自菲涅尔研究所\cite{Geffrin2009}的未处理三维实验数据。文中还给出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。