scholarly journals Difference Factorizations and Monotonicity in Inverse Medium Scattering for Contrasts with Fixed Sign on the Boundary

2016 ◽  
Vol 48 (6) ◽  
pp. 3688-3707 ◽  
Author(s):  
Evgeny Lakshtanov ◽  
Armin Lechleiter
Keyword(s):  
Fixed Sign ◽  
Inverse Medium ◽  
Inverse Medium Scattering

Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Nguyen Trung Thành
Keyword(s):  
Finite Number ◽  
Scattering Problem ◽  
One Dimensional ◽  
Globally Convergent ◽  
Convergent Method ◽  
Inverse Medium ◽  
Inverse Medium Scattering ◽  
Objective Functional

AbstractWe investigate a globally convergent method for solving a one-dimensional inverse medium scattering problem using backscattering data at a finite number of frequencies. The proposed method is based on the minimization of a discrete Carleman weighted objective functional. The global convexity of this objective functional is proved.

Numerical solution of an inverse medium scattering problem with a stochastic source

2010 ◽  
Vol 26 (7) ◽  
pp. 074014 ◽  
Author(s):  
Gang Bao ◽  
Shui-Nee Chow ◽  
Peijun Li ◽  
Haomin Zhou
Keyword(s):  
Numerical Solution ◽  
Scattering Problem ◽  
Inverse Medium ◽  
Inverse Medium Scattering
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