Suppression of Anderson localization of light and Brewster anomalies in disordered superlattices containing a dispersive metamaterial

Mogilevtsev, D.; Pinheiro, F. A.; Santos, Raimundo R. dos; Cavalcanti, S. B.; Oliveira, L. E.

doi:10.1103/physrevb.82.081105

Cited by 41 publications

(64 citation statements)

References 29 publications

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“…Furthermore, light-matter interaction in quasiperiodic RHM-LHM stacks has also resulted in the unfolding of plasmon-polariton modes in the neighborhood of the plasmon frequency, in contrast with the periodic case. [20][21][22] In this report we extend the investigations of RHM-LHM photonic 1D superlattices by considering the substitution of the dispersive isotropic LHM component by an anisotropic one 27-29 in order to answer the question of whether the physical behavior of the anisotropic metamaterial changes as compared to the isotropic ones. In the following development we show that anisotropy leads to the appearance of essentially dispersionless plasmon-polariton bands and we provide an approximate analytical expression for such bands.…”

Section: 7mentioning

confidence: 93%

Unfolding of plasmon-polariton modes in one-dimensional layered systems containing anisotropic left-handed materials

et al. 2011

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The propagation of electromagnetic waves through a 1-dimensional layered system containing alternate layers of air and a uniaxial, anisotropic, left-handed material is investigated. The optical axis of this material is along the stacking direction and the components of the electric permittivity and magnetic permeability tensors that characterize the metamaterial are described by Drude-type responses. Different plasmon frequencies are considered for directions parallel and perpendicular to the optical axis. As in the isotropic case, plasmon polariton modes are found in the neighborhood of the plasmon frequency corresponding to the optical axis. Moreover, it is shown that, depending on the relation between the two plasmon frequencies of the metamaterial, anisotropy leads to the unfolding of an infinite number of nearly dispersionless plasmon-polariton bands either above or below the parallel plasmon frequency. In the last two decades, a number of both experimental and theoretical studies have been devoted to understanding the properties of wave propagation in photonic crystals, which are artificial periodic arrays of materials with different refractive indices. As a result, interesting properties of light confinement and manipulation of electromagnetic waves in these matter structures have attracted a great deal of interest, due to potential applications to optical devices such as optical filters, [1][2][3] optical switches, 4 optical logic devices, 5 and optical buffers. 6,7By producing sophisticated microstructured materials, one may obtain artificial media with unusual features, such as simultaneous negative dielectric permittivity ε and magnetic permeability μ. These so-called metamaterials may be engineered to enhance the role played by the magnetic component of the electromagnetic field, giving rise to novel regimes of light-matter interaction. An interface between a material with positive permittivity and another with negative permittivity may support surface plasmon polaritons, 8 a result of the coupling of the incident electromagnetic radiation with the charge density of the material. Recent work on 1-dimensional (1D) photonic heterostructures formed by alternating a righthanded material (RHM), such as air, with an ideal isotropic left-handed material (LHM) has evidenced the existence of a zero-n (null average of the refractive index) band gap [9][10][11][12][13][14][15] that is insensitive to lattice parameter changes (in contrast to the behavior exhibited by Bragg gaps), and exhibited bulk plasmon polariton modes, whether the stacking arrangement is periodic, quasiperiodic, or even disordered. [16][17][18][19][20][21][22][23] However, in practice, an isotropic LHM is still a great challenge for researchers, as the available LHM structures are intrinsically anisotropic. The reflection from a 1D photonic heterostructure containing an anisotropic LHM has been investigated by Wang and Gao. 24 Moreover, Sun et al. 25 have reported on a two-dimensional (2D) complete photonic band gap in this type of structure...

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Section: 7mentioning

confidence: 93%

Unfolding of plasmon-polariton modes in one-dimensional layered systems containing anisotropic left-handed materials

et al. 2011

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“…In 1D electronic systems all eigenmodes are exponentially localised, although some exceptions do exist in the realm of optical systems [19][20][21][22] (see Introduction). The length ξ characterises the exponential decay of the eigenfunctions and is defined in terms of the reciprocal of the Lyapunov exponent λ.…”

Section: Analytical Calculation Of the Localization Lengthmentioning

confidence: 99%

“…It reveals that the presence of graphene layers has also an important effect in the so-called Brewster modes in disordered systems. In 1D disordered optical systems, the so-called Brewster modes occur at some specific frequencies and incident angles for which ξ reaches anomalously high values, larger than the system size 20,29 . For non-magnetic (µ 1 = µ 2 = 1) superlattices made of positive refractive-index media, these anomalously delocalised modes arise from the suppression of reflexion at the interfaces of a 1D disordered system illuminated by a TM incident wave 20,29 .…”

Section: Impedance Matching In Two-layered System With Structural Dismentioning

confidence: 99%

“…Dimensionality is crucial to AL, and in 1D the vast majority of states is exponentially localised on a length scale given by the localization length ξ, regardless of the disorder strength. In optical systems exceptions do exist, and delocalised modes may occur in low-dimensional systems as a result of the presence of correlations 18 , necklace modes 19 , or metamaterials with negative refraction [20][21][22] . The question of whether these anomalies occur when graphene is integrated into disordered optical superlattices remains an open question.…”

Section: Introductionmentioning

confidence: 99%

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Anderson localization of light in disordered superlattices containing graphene layers

2015

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We theoretically investigate light propagation and Anderson localization in one-dimensional disordered superlattices composed of dielectric stacks with graphene sheets in between. Disorder is introduced either on graphene material parameters (e.g. Fermi energy) or on the widths of the dielectric stacks. We derive an analytic expression for the localization length ξ, and compare it to numerical simulations using transfer matrix technique; a very good agreement is found. We demonstrate that the presence of graphene may strongly attenuate the anomalously delocalised Breswter modes, and is at the origin of a periodic dependence of ξ on frequency, in contrast to the usual asymptotic decay, ξ ∝ ω −2 . By unveiling the effects of graphene on Anderson localization of light, we pave the way for new applications of graphene-based, disordered photonic devices in the THz spectral range.

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“…Dispersion effects in M-stacks comprised by metamaterial layers separated by air layers with only positional disorder were considered in [71][72][73] . Here essential suppression of localization in the vicinity of the Brewster angle and at the very edge of the band gap was revealed 71 , influence of both quasi-periodicity and structural disorder was studied 72 and effects of some types of disorder correlation on light propagation and Anderson localization were investigated 73 .…”

Section: Suppression Of Localization In Metamaterialsmentioning

confidence: 99%

Anderson localization in metamaterials and other complex media (Review Article)

Gredeskul

Kivshar

Asatryan

et al. 2012

Low Temperature Physics

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We review some recent (mostly ours) results on the Anderson localization of light and electron waves in complex disordered systems, including: (i) left-handed metamaterials, (ii) magneto-active optical structures, (iii) graphene superlattices, and (iv) nonlinear dielectric media. First, we demonstrate that left-handed metamaterials can significantly suppress localization of light and lead to an anomalously enhanced transmission. This suppression is essential at the long-wavelength limit in the case of normal incidence, at specific angles of oblique incidence (Brewster anomaly), and in the vicinity of the zero-ε or zero-µ frequencies for dispersive metamaterials. Remarkably, in disordered samples comprised of alternating normal and left-handed metamaterials, the reciprocal Lyapunov exponent and reciprocal transmittance increment can differ from each other. Second, we study magneto-active multilayered structures, which exhibit nonreciprocal localization of light depending on the direction of propagation and on the polarization. At resonant frequencies or realizations, such nonreciprocity results in effectively unidirectional transport of light. Third, we discuss the analogy between the wave propagation through multilayered samples with metamaterials and the charge transport in graphene, which enables a simple physical explanation of unusual conductive properties of disordered graphene superlatices. We predict disorder-induced resonances of the transmission coefficient at oblique incidence of the Dirac quasiparticles. Finally, we demonstrate that an interplay of nonlinearity and disorder in dielectric media can lead to bistability of individual localized states excited inside the medium at resonant frequencies. This results in nonreciprocity of the wave transmission and unidirectional transport of light.

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Suppression of Anderson localization of light and Brewster anomalies in disordered superlattices containing a dispersive metamaterial

Cited by 41 publications

References 29 publications

Unfolding of plasmon-polariton modes in one-dimensional layered systems containing anisotropic left-handed materials

Unfolding of plasmon-polariton modes in one-dimensional layered systems containing anisotropic left-handed materials

Anderson localization of light in disordered superlattices containing graphene layers

Anderson localization in metamaterials and other complex media (Review Article)

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