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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	891-906
Number of pages	16
Journal	Inverse Problems
Volume	18
Issue number	3
DOIs	https://doi.org/10.1088/0266-5611/18/3/323
Publication status	Published - 1 Jun 2002
Externally published	Yes

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title = "The linear sampling method for solving the electromagnetic inverse medium problem",

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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DO - 10.1088/0266-5611/18/3/323

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JO - Inverse Problems

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The linear sampling method for solving the electromagnetic inverse medium problem

Abstract

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