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

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

33 Scopus citations

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 (US)
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
State	Published - Dec 1 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Numerical Analysis
Applied Mathematics

Keywords

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

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AU - Haddar, Houssem

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KW - Direct and inverse scattering

KW - Far field data

KW - Maxwell's equations

KW - Trans- mission eigenvalues

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