Behavior of the regularized sampling inverse scattering method at internal resonance frequencies — Abstract

Shelton, N.; Warnick, Karl F.

doi:10.1163/156939303767868991

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Interpretation of linear sampling method in terms of induced multipoles

Agarwal

Chen

Zhong

2009

2009 Asia Pacific Microwave Conference

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Linear sampling method is a qualitative inversion technique employed for imaging scatterers. Although it is well understood from the perspective of mathematics, despite few good efforts, its physical interpretation still eludes the research community. This article presents a physical interpretation of the linear sampling method. We demonstrate that linear sampling method can effectively be understood as finding the locations in the domain, where the monopole current is the most significant part of the induced current. To this end, we have provided a new mathematical formulation in terms of the induced multipoles which is equivalent to LSM. We further show that this mathematical model can be used to enhance the imaging results.

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Interpretation of linear sampling method in terms of induced multipoles

Agarwal

Chen

Zhong

2009

2009 Asia Pacific Microwave Conference

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A multipole-expansion based linear sampling method for solving inverse scattering problems

Agarwal¹,

Chen²,

Zhong³

2010

Opt. Express

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Linear sampling method (LSM) is a qualitative method used to reconstruct the support of scatterers. This paper presents a modification of the LSM approach. The proposed method analyses the multipole expansion of the scattered field. Only monopole and dipole terms are used for the reconstruction of the scatterer support and all other higher order multipoles are truncated. It is shown that such modification performs better than the mathematical regularization typically used in LSM. The justification for truncation of higher order multipoles is presented. Various examples are presented to demonstrate the performance of the proposed method for dielectric as well as perfectly conducting scatterers in presence of significant amount of additive Gaussian noise.

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Behavior of the regularized sampling inverse scattering method at internal resonance frequencies — Abstract

Cited by 2 publications

References 0 publications

Interpretation of linear sampling method in terms of induced multipoles

Interpretation of linear sampling method in terms of induced multipoles

A multipole-expansion based linear sampling method for solving inverse scattering problems

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