The inverse electromagnetic scattering problem for screens

@article{Cakoni2003TheIE,
  title={The inverse electromagnetic scattering problem for screens},
  author={Fioralba Cakoni and David Colton and Eric Darrigrand},
  journal={Inverse Problems},
  year={2003},
  volume={19},
  pages={627-642}
}
We consider the inverse electromagnetic scattering problem for perfectly conducting screens. We solve this problem by modifying the linear sampling method formulated in Cakoni and Colton (2003 Math. Methods Appl. Sci. 26 413–29) for the case of scattering obstacles with nonempty interior. Numerical examples are given for screens in 3. 

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References

SHOWING 1-10 OF 20 REFERENCES
Combined far‐ield operators in electromagnetic inverse scattering theory
We consider the inverse scattering problem of determining the shape of a perfect conductor D from a knowledge of the scattered electromagnetic wave generated by a time‐harmonic plane wave incident
The linear sampling method for cracks
We consider the inverse scattering problem of determining the shape of an infinite cylinder having an open arc as cross section from a knowledge of the TM-polarized scattered electromagnetic field
The Linear Sampling Method for Solving the Electromagnetic Inverse Scattering Problem
We consider the inverse scattering problem of determining the shape of an obstacle in $\mathbb R$ from knowledge of the time harmonic incident electromagnetic wave and the far-field pattern of the
A linear sampling method for inverse scattering from an open arc Inverse Problems
In this paper, we develop a linear sampling method for the inverse scattering of time-harmonic plane waves by open arcs. We derive a characterization of the scatterer in terms of the spectral data of
Inverse Acoustic and Electromagnetic Scattering Theory
Introduction.- The Helmholtz Equation.- Direct Acoustic Obstacle Scattering.- III-Posed Problems.- Inverse Acoustic Obstacle Scattering.- The Maxwell Equations.- Inverse Electromagnetic Obstacle
The electric field integral equation on Lipschitz screens: definitions and numerical approximation
TLDR
The Galerkin method for this problem is analysed in a general setting and optimal error bounds are proved for conforming finite elements in natural norms.
Inverse scattering from an open arc
A Newton method is presented for the approximate solution of the inverse problem to determine the shape of a sound-soft or perfectly conducting arc from a knowledge of the far-field pattern for the
Boundary integral equations for screen problems in IR3
Here we present a new solution procedure for Helmholtz and Laplacian Neumann screen or Dirichlet screen problems in IR3 via boundary integral equations of the first kind having as unknown the jump of
Strongly Elliptic Systems and Boundary Integral Equations
Introduction 1. Abstract linear equations 2. Sobolev spaces 3. Strongly elliptic systems 4. Homogeneous distributions 5. Surface potentials 6. Boundary integral equations 7. The Laplace equation 8.
On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces
Let D⊂ℝ3 be a bounded domain with connected boundary δD of class C2. It is shown that Herglotz wave functions are dense in the space of solutions to the Helmholtz equation with respect to the norm in
...
...