Imaging of bi-anisotropic periodic structures from electromagnetic near-field data
Imaging of bi-anisotropic periodic structures from electromagnetic near-field data
复制标题
电磁近场数据的双各向异性周期结构成像
DOI：
10.1515/jiip-2020-0114
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发表时间：
2020-08
影响因子：
1.1
通讯作者：
Dinh-Liem Nguyen;TrungDung Truong
中科院分区：
文献类型：
--
作者：
Dinh-Liem Nguyen;TrungDung Truong
摘要 本文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反问题的分析和数值工具。我们对因式分解方法进行了严格的论证，该方法产生了周期性散射体的独特确定和快速成像算法。给出了三维周期性结构成像的数值例子来检验该方法的效率。
Abstract This paper is concerned with the inverse scattering problem for the three-dimensional Maxwell 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.