The linear sampling method for solving the electromagnetic inverse medium problem

Houssem Haddar; Peter Monk

doi:10.1088/0266-5611/18/3/323

The linear sampling method for solving the electromagnetic inverse medium problem

Houssem Haddar
, Peter Monk

University of Delaware

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The inverse scattering problem for electromagnetic waves in the resonance region was studied. The scatterer was distinguished from the background by a refractive index. It was found that mathematical justification of the method depended on the precise scattering mechanism. The existence of a weak solution to the interior transmission problem was proved. Numerical results showed that the linear sampling method could handle simultaneous reconstruction of both penetrable and non-penetrable scatterers.

langue originale	Anglais
Pages (de - à)	891-906
Nombre de pages	16
journal	Inverse Problems
Volume	18
Numéro de publication	3
Les DOIs	https://doi.org/10.1088/0266-5611/18/3/323
état	Publié - 1 juin 2002
Modification externe	Oui

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abstract = "The inverse scattering problem for electromagnetic waves in the resonance region was studied. The scatterer was distinguished from the background by a refractive index. It was found that mathematical justification of the method depended on the precise scattering mechanism. The existence of a weak solution to the interior transmission problem was proved. Numerical results showed that the linear sampling method could handle simultaneous reconstruction of both penetrable and non-penetrable scatterers.",

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AB - The inverse scattering problem for electromagnetic waves in the resonance region was studied. The scatterer was distinguished from the background by a refractive index. It was found that mathematical justification of the method depended on the precise scattering mechanism. The existence of a weak solution to the interior transmission problem was proved. Numerical results showed that the linear sampling method could handle simultaneous reconstruction of both penetrable and non-penetrable scatterers.

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The linear sampling method for solving the electromagnetic inverse medium problem

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