scholarly journals An inverse scattering problem for the time-dependent Maxwell equations: nonlinear optimization and model-order reduction

2013 ◽  
Vol 20 (4) ◽  
pp. 689-711 ◽  
Author(s):  
R. Mancini ◽  
S. Volkwein
Keyword(s):  
Nonlinear Optimization ◽  
Inverse Scattering ◽  
Model Order Reduction ◽  
Maxwell Equations ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Order Reduction ◽  
Time Dependent ◽  
Model Order

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.

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