2020/08/22 by Dinh-Liem Nguyen, Nguyen, Dinh-Liem, Trung Truong +1
Mathematics · Engineering · #Numerical methods in inverse problems #Microwave Imaging and Scattering Analysis #Geophysical Methods and Applications
paper · pdf · doi:10.48550/arxiv.2008.09920
This paper is concerned with the inverse scattering problem for the\nthree-dimensional Maxwell's equations in bi-anisotropic periodic structures.\nThe inverse scattering problem aims to determine the shape of bi-anisotropic\nperiodic scatterers from electromagnetic near field data at a fixed frequency.\nThe Factorization method is studied as an analytical and numerical tool for\nsolving the inverse problem. We provide a rigorous justification of the\nFactorization method which results in the unique determination and a fast\nimaging algorithm for the periodic scatterer. Numerical examples for imaging\nthree-dimensional periodic structures are presented to examine the efficiency\nof the method.\n