Scattering by Obstacles

1996 ◽  
pp. 145-240
Author(s):  
Michael E. Taylor
Keyword(s):  
Scattering By Obstacles

scholarly journals Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling

2019 ◽  
Vol 57 (5) ◽  
pp. 2436-2468
Author(s):  
J. Albella ◽  
H. Ben Dhia ◽  
S. Imperiale ◽  
J. Rodríguez
Keyword(s):  
Wave Scattering ◽  
Numerical Study ◽  
Transient Wave ◽  
New Class ◽  
Scattering By Obstacles

Scattering by Obstacles

Scattering ◽  
2002 ◽  
pp. 52-73
Author(s):  
R. Kress
Keyword(s):  
Scattering By Obstacles

Numerical analysis for the scattering by obstacles in a homogeneous chiral environment

2010 ◽  
Vol 36 (1) ◽  
pp. 3-20 ◽  
Author(s):  
Deyue Zhang ◽  
Yukun Guo ◽  
Chengchun Gong ◽  
Guan Wang
Keyword(s):  
Numerical Analysis ◽  
Scattering By Obstacles

scholarly journals Scattering by Obstacles of Finite Capacity

1994 ◽  
Vol 121 (2) ◽  
pp. 416-425 ◽  
Author(s):  
P. Stollmann
Keyword(s):  
Finite Capacity ◽  
Scattering By Obstacles

scholarly journals Inverse obstacle scattering with non-over-determined data

2018 ◽  
Vol 6 (1) ◽  
pp. 2
Author(s):  
Alexander G. Ramm
Keyword(s):  
Boundary Condition ◽  
Uniqueness Theorem ◽  
Inverse Scattering ◽  
Scattering Amplitude ◽  
Scattering Data ◽  
Scattering Problems ◽  
Closed Surfaces ◽  
Inverse Scattering Problems ◽  
Scattering By Obstacles ◽  
First Time

t is proved that the scattering amplitude \(A(\beta, \alpha_0, k_0)\), known for all \(\beta\in S^2\), where \(S^2\) is the unit sphere in \(\mathbb{R}^3\), and fixed \(\alpha_0\in S^2\) and \(k_0>0\), determines uniquely the surface \(S\) of the obstacle \(D\) and the boundary condition on \(S\). The boundary condition on \(S\) is assumed to be the Dirichlet, or Neumann, or the impedance one. The uniqueness theorem for the solution of multidimensional inverse scattering problems with non-over-determined data was not known for many decades.A detailed proof of such a theorem is given in this paper for inverse scattering by obstacles for the first time. It follows from our results that the scattering solution vanishing on the boundary \(S\) of the obstacle cannot have closed surfaces of zeros in the exterior of the obstacle different from \(S\). To have a uniqueness theorem for inverse scattering problems with non-over-determined data is of principal interest because these are the minimal scattering data that allow one to uniquely recover the scatterer.

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