2016
DOI: 10.1038/srep20002
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Dielectric singularity in hyperbolic metamaterials: the inversion point of coexisting anisotropies

Abstract: Hyperbolic Metamaterials are artificially engineered materials whose optical properties can be specifically tailored to manifest an extremely high level of anisotropy. Due to this remarkable anisotropy they represent a unique opportunity to realize effective bulk meta-structure with extraordinary optical properties in the visible range. A simultaneous dielectric singularity in the in plane permittivity, with respect to the propagation direction, has to lead to a complete sign inversion of the same permittivity… Show more

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Cited by 64 publications
(75 citation statements)
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References 39 publications
(51 reference statements)
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“…Figure shows that the normalized fluorescence lifetime (τ 1 ) of the dye embedded in the HMM (as a function of the emission wavelength reported as the distance from the transition wavelength Δλ) exhibits a flat trend within the effective‐dielectric range, while it is remarkably reduced within the type II region. The enhancement of the decay rate of a fluorophore positioned in proximity of an HMM has been widely studied in previous works . When entering the type II anisotropy regime, the isofrequency curves deriving from the dispersion relationship given in Equation assume the shape of an open hyperboloid.…”
Section: Resultsmentioning
confidence: 99%
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“…Figure shows that the normalized fluorescence lifetime (τ 1 ) of the dye embedded in the HMM (as a function of the emission wavelength reported as the distance from the transition wavelength Δλ) exhibits a flat trend within the effective‐dielectric range, while it is remarkably reduced within the type II region. The enhancement of the decay rate of a fluorophore positioned in proximity of an HMM has been widely studied in previous works . When entering the type II anisotropy regime, the isofrequency curves deriving from the dispersion relationship given in Equation assume the shape of an open hyperboloid.…”
Section: Resultsmentioning
confidence: 99%
“…Within this frame, the use of the so‐called metamaterials, and in particular of hyperbolic metamaterials (HMMs), represents an intriguing opportunity. HMMs are uniaxial structures manifesting a hyperbolic dispersion relation whose application range spans from hyperlensing to extreme biosensing . In order to describe their optical constants, it is convenient to homogenize the dielectric permittivity of HMMs by using the effective medium theory (EMT).…”
Section: Introductionmentioning
confidence: 99%
“…(47) and (53), together with their complex conjugates, constitute a complete set of (complexified) solutions of Maxwell equations in R 3 × I; in other words, the boundary-value problems defined by Eqs. (42,43) and Eqs. (49,50) admit solutions only for (a subset of) ω 2 > 0.…”
Section: A Instability Analysismentioning
confidence: 99%
“…Although it might be tempting not to consider these "runaway" solutions, [25,26], they are essential, if they exist, to expand an arbitrary initial field configuration satisfying the boundaryvalue problems set by Eqs. (42,43) and (49,50); in other words, the stationary modes alone do not constitute a complete set of solutions of Maxwell's equations with the given boundary conditions. And even if, on the classical level, one might want to restrict attention to initial field configurations which have no contribution coming from these unstable modes -which is certainly unnatural, for causality forbids the system to constrain its initial configuration based on its future behavior -, inevitable quantum fluctuations of these modes would grow, making them dominant some time e-foldings (t ∼ N Ω −1 , N ≫ 1) after the proper material conditions having been engineered.…”
Section: A Instability Analysismentioning
confidence: 99%
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