Direct Sampling Methods for Inverse Scattering Problems

Zaalig, Al; Nahar, Ala Mahmood

doi:10.37099/mtu.dc.etdr/482

Cited by 1 publication

(2 citation statements)

References 52 publications

(92 reference statements)

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“…Motivated by the work in [17] we prove that the imaging functionals for the OSM and DSM are equivalent. The DSM was considered in [1] for the far field operator corresponding to the magnetic field. In their analysis they assume that the contrast is scalar-valued and use the factorization established in [15].…”

Section: Orthogonality Sampling Methodsmentioning

confidence: 99%

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Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem

Harris¹,

Nguyen²

2019

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This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location and shape of anisotropic scatterers from far field data (at a fixed frequency). We study the orthogonality sampling method which is a simple, fast and robust imaging method for solving the electromagnetic inverse shape problem. We first provide a theoretical foundation for the sampling method and a resolution analysis of its imaging functional. We then establish an equivalent relation between the orthogonality sampling method and direct sampling method as well as resolution analysis for the latter. The analysis uses the Factorization Method for the far field operator and it plays an important role in the justifications along with the Funk-Hecke integral identity. Finally, we present some numerical examples to validate the performance of the sampling methods for anisotropic scatterers in three dimensions.

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Section: Orthogonality Sampling Methodsmentioning

confidence: 99%

“…We want to mention that the DSM in [17] was extended to the electromagnetic case in [1]. This extension relies on the Factorization method analysis in [15] for an isotropic medium and the decay rate of the imaging functional was not established.…”

Section: Introductionmentioning

confidence: 99%

Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem

Harris¹,

Nguyen²

2019

Preprint

View full text Add to dashboard Cite

show abstract

Direct Sampling Methods for Inverse Scattering Problems

Cited by 1 publication

References 52 publications

Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem

Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem

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