This paper is concerned with the inverse scattering problem for the three-dimensional Maxwell's equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near field data at a fixed frequency. The Factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the Factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.

中文翻译：

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基于电磁近场数据的双各向异性周期结构成像

本文主要研究双各向异性周期结构中三维麦克斯韦方程组的逆散射问题。逆散射问题旨在根据固定频率的电磁近场数据确定双各向异性周期性散射体的形状。因式分解方法被研究作为解决逆问题的分析和数值工具。我们提供了对因子分解方法的严格证明，该方法导致周期性散射体的独特确定和快速成像算法。给出了成像三维周期结构的数值例子，以检验该方法的效率。