scholarly journals Uniqueness in Inverse Scattering Problems with Phaseless Far-Field Data at a Fixed Frequency

2018 ◽  
Vol 78 (3) ◽  
pp. 1737-1753 ◽  
Author(s):  
Xiaoxu Xu ◽  
Bo Zhang ◽  
Haiwen Zhang
Keyword(s):  
Inverse Scattering ◽  
Field Data ◽  
Far Field ◽  
Fixed Frequency ◽  
Scattering Problems ◽  
Inverse Scattering Problems

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.

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