Scattering by Obstacles and Potentials

SCATTERING BY OBSTACLES

Inhomogeneous Waves in Solids and Fluids ◽

10.1142/9789812797148_0007 ◽

1992 ◽

pp. 181-234

Keyword(s):

Scattering By Obstacles

Scattering by obstacles above or buried in a lossy ground

10.1109/aps.1976.1147674 ◽

2005 ◽

Author(s):

S. Chang ◽

K. Mei

Keyword(s):

Scattering By Obstacles

Scattering by Obstacles with Infinite Boundaries

Scattering by Obstacles and Potentials ◽

10.1142/9789813220973_0008 ◽

2017 ◽

pp. 321-357

Keyword(s):

Scattering By Obstacles

TE Wave Excitation and Scattering by Obstacles in Guiding and Surround Regions of Asymmetric Planar Dielectric Waveguide

Journal of Electromagnetic Waves and Applications ◽

10.1163/156939392x00300 ◽

1992 ◽

Vol 6 (10) ◽

pp. 1353-1379

Author(s):

B. Kzadri ◽

D.P. Nyquist

Keyword(s):

Dielectric Waveguide ◽

Wave Excitation ◽

Planar Dielectric Waveguide ◽

Scattering By Obstacles

Scattering of Plane Waves by Soft Obstacles. III. Scattering by Obstacles with Spherical and Circular Cylindrical Symmetry

Physical Review ◽

10.1103/physrev.86.889 ◽

1952 ◽

Vol 86 (6) ◽

pp. 889-898 ◽

Cited By ~ 28

Author(s):

Elliott W. Montroll ◽

J. Mayo Greenberg

Keyword(s):

Plane Waves ◽

Cylindrical Symmetry ◽

Scattering By Obstacles

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

SIAM Journal on Numerical Analysis ◽

10.1137/19m1263959 ◽

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 ◽

10.1016/b978-012613760-6/50005-x ◽

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

Advances in Computational Mathematics ◽

10.1007/s10444-010-9169-9 ◽

2010 ◽

Vol 36 (1) ◽

pp. 3-20 ◽

Cited By ~ 3

Author(s):

Deyue Zhang ◽

Yukun Guo ◽

Chengchun Gong ◽

Guan Wang

Keyword(s):

Numerical Analysis ◽

Scattering By Obstacles

Scattering by Obstacles of Finite Capacity

Journal of Functional Analysis ◽

10.1006/jfan.1994.1054 ◽

1994 ◽

Vol 121 (2) ◽

pp. 416-425 ◽

Cited By ~ 14

Author(s):

P. Stollmann

Keyword(s):

Finite Capacity ◽

Scattering By Obstacles

Inverse obstacle scattering with non-over-determined data

Global Journal of Mathematical Analysis ◽

10.14419/gjma.v6i1.8887 ◽

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.