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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	203-227
Nombre de pages	25
journal	Journal of Integral Equations and Applications
Volume	21
Numéro de publication	2
Les DOIs	https://doi.org/10.1216/JIE-2009-21-2-203
état	Publié - 1 déc. 2009
Modification externe	Oui

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10.1216/JIE-2009-21-2-203

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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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KW - Anisotropic media

KW - Direct and inverse scattering

KW - Far field data

KW - Maxwell's equations

KW - Trans- mission eigenvalues

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

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