The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data

Fioralba Cakoni; David Colton; Houssem Haddar

doi:10.1216/JIE-2009-21-2-203

The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data

Fioralba Cakoni
, David Colton
, Houssem Haddar

University of Delaware
NRIA

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

Abstract

We consider the scattering of time harmonic electromagnetic plane waves by a bounded, inhomogeneous, anisotropic dielectric medium and show that under certain assumptions a lower bound on the norm of the (matrix) index of refraction can be obtained from a knowledge of the smallest transmission eigenvalue corresponding to the medium. Numerical examples are given showing the efficaciousness of our estimates.

Original language	English
Pages (from-to)	203-227
Number of pages	25
Journal	Journal of Integral Equations and Applications
Volume	21
Issue number	2
DOIs	https://doi.org/10.1216/JIE-2009-21-2-203
Publication status	Published - 1 Dec 2009
Externally published	Yes

Keywords

Anisotropic media
Direct and inverse scattering
Far field data
Maxwell's equations
Trans- mission eigenvalues

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10.1216/JIE-2009-21-2-203

Cite this

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title = "The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data",

abstract = "We consider the scattering of time harmonic electromagnetic plane waves by a bounded, inhomogeneous, anisotropic dielectric medium and show that under certain assumptions a lower bound on the norm of the (matrix) index of refraction can be obtained from a knowledge of the smallest transmission eigenvalue corresponding to the medium. Numerical examples are given showing the efficaciousness of our estimates.",

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AU - Cakoni, Fioralba

AU - Colton, David

AU - Haddar, Houssem

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Y1 - 2009/12/1

N2 - We consider the scattering of time harmonic electromagnetic plane waves by a bounded, inhomogeneous, anisotropic dielectric medium and show that under certain assumptions a lower bound on the norm of the (matrix) index of refraction can be obtained from a knowledge of the smallest transmission eigenvalue corresponding to the medium. Numerical examples are given showing the efficaciousness of our estimates.

AB - We consider the scattering of time harmonic electromagnetic plane waves by a bounded, inhomogeneous, anisotropic dielectric medium and show that under certain assumptions a lower bound on the norm of the (matrix) index of refraction can be obtained from a knowledge of the smallest transmission eigenvalue corresponding to the medium. Numerical examples are given showing the efficaciousness of our estimates.

KW - Anisotropic media

KW - Direct and inverse scattering

KW - Far field data

KW - Maxwell's equations

KW - Trans- mission eigenvalues

U2 - 10.1216/JIE-2009-21-2-203

DO - 10.1216/JIE-2009-21-2-203

M3 - Article

AN - SCOPUS:67651213840

SN - 0897-3962

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JO - Journal of Integral Equations and Applications

JF - Journal of Integral Equations and Applications

IS - 2

ER -

The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data

Abstract

Keywords

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