The Linear Sampling Method in Inverse Electromagnetic Scattering

Cakoni, Fioralba; Colton, David; Monk, Peter

doi:10.1137/1.9780898719406

Cited by 205 publications

(201 citation statements)

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“…Incomplete knowledge of the scattered data corresponding to very few incident waves suffices to recover an accurate approximation of the shape of the multiple obstacles by opposition to sampling methods [5]. The main drawback is that we need to know from the beginning the exact number of obstacles, their size and location.…”

Section: Resultsmentioning

confidence: 99%

A spectrally accurate method for the direct and inverse scattering problems by multiple 3D dielectric obstacles

Louër¹

2018

ANZIAMJ

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We consider fast and accurate solution methods for the direct and inverse scattering problems by a few three dimensional piecewise homogeneous dielectric obstacles around the resonance region. The forward problem is reduced to a system of second kind boundary integral equations. For the numerical solution of these coupled integral equations we modify a fast and accurate spectral algorithm, proposed by Ganesh and Hawkins [doi:10.1016/j.jcp.2008.01.016], by transporting these equations onto the unit sphere using the Piola transform of the boundary parametrisations. The computational performances of the forward solver are demonstrated on numerical examples for a variety of three-dimensional smooth and non smooth obstacles. The algorithm, that requires the knowledge of the boundary parametrisation and leads

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Section: Resultsmentioning

confidence: 99%

A spectrally accurate method for the direct and inverse scattering problems by multiple 3D dielectric obstacles

Louër¹

2018

ANZIAMJ

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“…Since the method is relatively rapid and does not need a-priori knowledge, it has attracted much research in recent years. One can find recent developments of the linear sampling method in [10,11]. The linear sampling method has been extended to inverse scattering involving periodic media, in [15,16,33].…”

Section: Introductionmentioning

confidence: 99%

Factorization Method for Electromagnetic Inverse Scattering from Biperiodic Structures

Lechleiter¹,

Nguyen²

2013

SIAM J. Imaging Sci.

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This paper is concerned with the inverse scattering problem of electromagnetic waves from penetrable biperiodic structures in three dimensions. We study the Factorization method as a tool for reconstructing the periodic media from measured data consisting of scattered electromagnetic waves for incident plane electromagnetic waves. We propose a rigorous analysis for the method. A simple criterion is provided to reconstruct the biperiodic structures. We also provide three-dimensional numerical experiments to indicate the performance of the method.

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“…With the plot of 1=kg z;s;d k as indicator function, the boundary of the unknown scatterer can be determined [17].…”

Section: Tablementioning

confidence: 99%

“…In all numerical examples, the Tikhonov regularization parameter computed by Morozov's discrepancy principle [17] is considered as k = 9.53 Â 10 À7 . With synthetic data calculated using the SFEM, the LSM's Eq.…”

Section: Synthetic Experiments Configurationmentioning

confidence: 99%

“…These methods provide an effective alternative to the classic optimization approaches. These techniques can be classified as probe or sampling methods such as linear sampling method (LSM) [17,18], topological sensitivity (TS) [19,20], the probe method [21], and point source method [22]. In this regard, the LSM and the FM introduced in the inverse scattering literature for far-field acoustics are particularly attractive.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Time domain linear sampling method for qualitative identification of buried cavities from elastodynamic over-determined boundary data

Khaji

Manshadi

2015

Computers & Structures

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The Linear Sampling Method in Inverse Electromagnetic Scattering

Cited by 205 publications

References 0 publications

A spectrally accurate method for the direct and inverse scattering problems by multiple 3D dielectric obstacles

A spectrally accurate method for the direct and inverse scattering problems by multiple 3D dielectric obstacles

Factorization Method for Electromagnetic Inverse Scattering from Biperiodic Structures

Time domain linear sampling method for qualitative identification of buried cavities from elastodynamic over-determined boundary data

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