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On the refractive index for a nonmagnetic two-component medium: Resolution of a controversy

✍ Scribed by Joseph B. Geddes III; Tom G. Mackay; Akhlesh Lakhtakia

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
261 KB
Volume
280
Category
Article
ISSN
0030-4018

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✦ Synopsis

The refractive index of a dielectric medium comprising both passive and inverted components in its permittivity was determined using two methods: (i) in the time-domain, a finite-difference algorithm to compute the frequency-domain reflectance from reflection data for a pulsed plane wave that is normally incident on a dielectric half-space and (ii) in the frequency-domain, the deflection of an obliquely incident Gaussian beam on transmission through a dielectric slab. The dielectric medium was found to be an active medium with a negative real part for its refractive index. Thereby, a recent controversy in the scientific literature was resolved.

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A spatially heterogeneous two component mixed quasimonotone system of reaction diffusion equations is considered. The kinetic functions exhibit mixed quasimonotonicity and are, in general, non-autonomous, while the boundary conditions are given by one of three possibilities: homogeneous Dirichlet, h