Scattered Wave

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The Experts below are selected from a list of 23253 Experts worldwide ranked by ideXlab platform

K H Johnson - One of the best experts on this subject based on the ideXlab platform.

W Wurth - One of the best experts on this subject based on the ideXlab platform.

Peter Monk - One of the best experts on this subject based on the ideXlab platform.

  • on the use of transmission eigenvalues to estimate the index of refraction from far field data
    Inverse Problems, 2007
    Co-Authors: Fioralba Cakoni, David Colton, Peter Monk
    Abstract:

    We consider the scattering of time harmonic electromagnetic plane Waves by a bounded inhomogeneous medium and show that under certain assumptions a lower bound on the index of refraction can be obtained from a knowledge of the smallest transmission eigenvalue corresponding to the medium. It is then shown by numerical examples that this eigenvalue can be determined from a knowledge of the far field pattern of the Scattered Wave, thus providing a practical method for estimating the index of refraction from far field data.

  • the electromagnetic inverse scattering problem for partly coated lipschitz domains
    Proceedings of The Royal Society A: Mathematical Physical and Engineering Sciences, 2004
    Co-Authors: Peter Monk
    Abstract:

    We consider the inverse-scattering problem of determining the shape of a partly coated obstacle in R 3 from a knowledge of the incident time-harmonic electromagnetic plane Wave and the electric far-field pattern of the Scattered Wave. A justification is given of the linear sampling method in this case and numerical examples are provided showing the practicality of our method.

  • the linear sampling method for solving the electromagnetic inverse medium problem
    Inverse Problems, 2002
    Co-Authors: Houssem Haddar, Peter Monk
    Abstract:

    We consider the inverse scattering problem of determining the shape of an inhomogeneous scatterer in 3 from a knowledge of the time harmonic incident electromagnetic Wave and the far-field pattern of the Scattered Wave with frequency in the resonance region. The approach used is the linear sampling method which does not require a priori knowledge of the characteristics of the medium.

  • the linear sampling method for solving the electromagnetic inverse scattering problem
    SIAM Journal on Scientific Computing, 2002
    Co-Authors: Houssem Haddar, Peter Monk
    Abstract:

    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 Scattered Wave with frequency in the resonance region. The approach used is the linear sampling method which does not require a priori knowledge of either the boundary condition or the connectivity of the scattering obstacle. Numerical examples are given for the case of both a simply connected perfect conductor and multiply connected obstacles satisfying an impedance boundary condition on the boundary of one component and satisfying a perfect conducting boundary condition on the boundary of another component.

P Vaterlein - One of the best experts on this subject based on the ideXlab platform.

F Simonetti - One of the best experts on this subject based on the ideXlab platform.

  • multiple scattering the key to unravel the subWavelength world from the far field pattern of a Scattered Wave
    Physical Review E, 2006
    Co-Authors: F Simonetti
    Abstract:

    : For more than a century the possibility of imaging the structure of a medium with diffracting Wave fields has been limited by the tradeoff between resolution and imaging depth. While long Wavelengths can penetrate deep into a medium, the resolution limit precludes the possibility of observing subWavelength structures. Near-field microscopy has recently demonstrated that the resolution limit can be overcome by bringing a probing sensor within one Wavelength distance from the surface to be imaged. This paper extends the scope of near-field microscopy to the reconstruction of subWavelength structures from measurements performed in the far-field. It is shown that the distortion undergone by a Wave field as it travels through an inhomogeneous medium and the subsequent generation of local evanescent fields encode subWavelength information in the far-field due to multiple scattering within the medium. This argument is proved theoretically and supported by a limited view experiment performed with elastic Waves in which an image with a resolution better than a third of the Wavelength is achieved.