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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
Journal article   Open access  Peer reviewed

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 and Houssem Haddar
The Journal of integral equations and applications, Vol.21(2), pp.203-227
06/01/2009
DOI: https://doi.org/10.1216/JIE-2009-21-2-203

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1216/JIE-2009-21-2-203View
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