scholarly journals Uniqueness and Direct Imaging Method for Inverse Scattering by Locally Rough Surfaces with Phaseless Near-Field Data

2019 ◽  
Vol 12 (1) ◽  
pp. 119-152
Author(s):  
Xiaoxu Xu ◽  
Bo Zhang ◽  
Haiwen Zhang
Keyword(s):  
Inverse Scattering ◽  
Field Data ◽  
Rough Surfaces ◽  
Near Field ◽  
Imaging Method ◽  
Direct Imaging

scholarly journals A Direct Imaging Method for Inverse Scattering by Unbounded Rough Surfaces

2018 ◽  
Vol 11 (2) ◽  
pp. 1629-1650 ◽  
Author(s):  
Xiaoli Liu ◽  
Bo Zhang ◽  
Haiwen Zhang
Keyword(s):  
Inverse Scattering ◽  
Rough Surfaces ◽  
Imaging Method ◽  
Direct Imaging

scholarly journals Imaging of bi-anisotropic periodic structures from electromagnetic near-field data

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Dinh-Liem Nguyen ◽  
Trung Truong
Keyword(s):  
Inverse Scattering ◽  
Maxwell Equations ◽  
Field Data ◽  
Periodic Structures ◽  
Near Field ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Inverse Scattering Problem ◽  
Factorization Method ◽  
Unique Determination

AbstractThis 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.

scholarly journals Direct and Inverse Scattering Problems for Domains with Multiple Corners

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Songming Hou ◽  
Yihong Jiang ◽  
Yuan Cheng
Keyword(s):  
Inverse Scattering ◽  
Logarithmic Singularity ◽  
Near Field ◽  
Imaging Method ◽  
Far Field ◽  
Corner Singularity ◽  
Frequency Data ◽  
Multiple Frequency ◽  
Scattering Problems ◽  
Inverse Scattering Problems

We proposed numerical methods for solving the direct and inverse scattering problems for domains with multiple corners. Both the near field and far field cases are considered. For the forward problem, the challenges of logarithmic singularity from Green’s functions and corner singularity are both taken care of. For the inverse problem, an efficient and robust direct imaging method is proposed. Multiple frequency data are combined to capture details while not losing robustness.

scholarly journals A direct imaging method using far-field data

2007 ◽  
Vol 23 (4) ◽  
pp. 1533-1546 ◽  
Author(s):  
Songming Hou ◽  
Knut Solna ◽  
Hongkai Zhao
Keyword(s):  
Field Data ◽  
Imaging Method ◽  
Far Field ◽  
Direct Imaging
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