The identification of thin dielectric objects from far field or near field scattering data

Noam Zeev; Fioralba Cakoni

doi:10.1137/070711542

The identification of thin dielectric objects from far field or near field scattering data

Noam Zeev, Fioralba Cakoni

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

18 Scopus citations

Abstract

We consider the inverse scattering problem of determining the shape and the material properties of a thin dielectric infinite cylinder having an open arc as cross section from knowledge of the TM-polarized scattered electromagnetic field at a fixed frequency. We investigate two reconstruction approaches, namely the linear sampling method and the reciprocity gap functional method, using far field or near field data, respectively. Numerical examples are given showing the efficaciousness of our algorithms.

Original language	English (US)
Pages (from-to)	1024-1042
Number of pages	19
Journal	SIAM Journal on Applied Mathematics
Volume	69
Issue number	4
DOIs	https://doi.org/10.1137/070711542
State	Published - 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics

Keywords

Direct and inverse scattering
Electromagnetic scattering
Linear sampling method
Reciprocity gap functional method
Scattering from cracks
Thin dielectric objects

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10.1137/070711542

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abstract = "We consider the inverse scattering problem of determining the shape and the material properties of a thin dielectric infinite cylinder having an open arc as cross section from knowledge of the TM-polarized scattered electromagnetic field at a fixed frequency. We investigate two reconstruction approaches, namely the linear sampling method and the reciprocity gap functional method, using far field or near field data, respectively. Numerical examples are given showing the efficaciousness of our algorithms.",

keywords = "Direct and inverse scattering, Electromagnetic scattering, Linear sampling method, Reciprocity gap functional method, Scattering from cracks, Thin dielectric objects",

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AU - Zeev, Noam

AU - Cakoni, Fioralba

PY - 2009

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N2 - We consider the inverse scattering problem of determining the shape and the material properties of a thin dielectric infinite cylinder having an open arc as cross section from knowledge of the TM-polarized scattered electromagnetic field at a fixed frequency. We investigate two reconstruction approaches, namely the linear sampling method and the reciprocity gap functional method, using far field or near field data, respectively. Numerical examples are given showing the efficaciousness of our algorithms.

AB - We consider the inverse scattering problem of determining the shape and the material properties of a thin dielectric infinite cylinder having an open arc as cross section from knowledge of the TM-polarized scattered electromagnetic field at a fixed frequency. We investigate two reconstruction approaches, namely the linear sampling method and the reciprocity gap functional method, using far field or near field data, respectively. Numerical examples are given showing the efficaciousness of our algorithms.

KW - Direct and inverse scattering

KW - Electromagnetic scattering

KW - Linear sampling method

KW - Reciprocity gap functional method

KW - Scattering from cracks

KW - Thin dielectric objects

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JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 4

ER -

The identification of thin dielectric objects from far field or near field scattering data

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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