Anderson localization and Brewster anomalies in photonic disordered quasiperiodic lattices

Reyes‐Gómez, E.; Bruno-Alfonso, Alexys; Cavalcanti, S. B.; Oliveira, L. E.

doi:10.1103/physreve.84.036604

Cited by 16 publications

(22 citation statements)

References 28 publications

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“…The light-transmission coefficient T of the photonic heterostructure in Eq. (1) may be computed via the transfer-matrix formalism [14], [18], [19]. For weakly disordered systems it is possible to derive an analytical expression for ξ in terms of parameters corresponding to a 1D finite photonic superlattice without disorder, with slabs A and B of widths a and b, respectively.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices

Aristizábal-Giraldo

Reyes‐Gómez

2013

ing.cienc.

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The Anderson localization of light in one-dimensional disordered photonic superlattices is theoretically studied. The system is considered to be made of alternating dispersive and nondispersive layers of different randomthickness. Dispersive slabs of the heterostructure are characterized by Drude-like frequency-dependent electric permittivities and magnetic permeabilities. Numerical results for the localization length are obtained via an analytical model, only valid in the case of weak disorder, and also through its general definition involving the transmissivity of the multilayered system. Anomalous λ 4 -and λ −4 -dependencies of the localization length in positive-negative disordered photonic superlattices are obtained, in certain cases, in the long and short wavelength limits, respectively. 141|Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices Localización anómala de la luz en superredes fotó-nicas unidimensionales desordenadas Resumen La localización de Anderson de la luz en superredes fotónicas desordenadas unidimensionales es estudiada teóricamente. El sistema se considera compuesto de capas alternadas dispersivas y no dispersivas de diferentes espesores aleatorios. Las capas dispersivas de la heteroestructura están caracterizadas por permitividades eléctricas y permeabilidades magnéticas tipo Drude dependientes de la frecuencia. Los resultados numéricos para la longitud de la localización son obtenidos mediante un modelo analítico, solo válido en caso de desorden débil, y también a través de la definición general que involucra la transmisividad del sistema multicapas. Las dependencias anómalas λ 4 y λ −4 de la longitud de localización en superredes fotónicas desordenadas son obtenidas, en ciertos casos, en los límites de longitudes de onda larga y corta, respectivamente.Palabras clave: localización de anderson; anomalías de brewster; superredes fotónicas.

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Section: Theoretical Frameworkmentioning

confidence: 99%

Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices

Aristizábal-Giraldo

Reyes‐Gómez

2013

ing.cienc.

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“…The influence of a dispersive electromagnetic response on Anderson localization in a long stack assembled by alternating a pair of materials, a dispersive one (right or left handed) and a right-handed nondispersive one, has been thoroughly investigated illustrating interesting new features that appears due to a combination of oblique incidence and dispersion. [17][18][19][20] By choosing incident light through 1D disordered structures at Brewster angles, one finds a polarization-induced delocalization effect. 21 Indeed, for specific combinations of angle of incidence and frequency, Brewster anomalies are present (for both states of polarization and not necessarily within the negative-refraction regime), thus effectively delocalizing light.…”

Section: Introductionmentioning

confidence: 99%

“…18 Investigations on a RHM-LHM Fibonacci heterostructure have illustrated the influence of the combination dispersionquasiperiodicity on the localization length. 19 The effects of the absorption on the Anderson localization of electromagnetic waves in weakly disordered systems were also theoretically investigated. 20 Such studies reveal that delocalized modes, obtained from numerical simulations in nonabsorptive media, are gradually suppressed as the absorption level is increased.…”

Section: Introductionmentioning

confidence: 99%

Suppression of Anderson localization of light in one-dimensional disordered photonic superlattices

et al. 2012

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The localization properties of electromagnetic modes in one-dimensional disordered photonic superlattices are theoretically studied. The multilayered system is considered to be composed of alternating stacks of two different random-thickness slabs, characterized by nondispersive and/or frequency-dependent electric permittivities and magnetic permeabilities. Results for the localization length are evaluated by using an analytical model for weakly disordered systems as well as its general definition through the transmissivity properties of the heterostructure. Good agreement between both results is observed only for small amplitudes of disorder. The critical frequencies at which the localization length diverges are correctly predicted in the whole frequency spectrum by the analytical model and confirmed via the corresponding numerical calculations. The λ 2 dependence of the localization length, previously observed in disordered heterostructures made of material of positive refractive indexes, are confirmed in the present work. In addition, new λ 4 and λ −4 dependencies of the localization length in positive-negative disordered photonic superlattices are obtained, under certain specific conditions, in the long and short wavelength limits, respectively. The asymptotic behavior of the localization length in these limits is essentially determined by the particular frequency dispersion that characterizes the metamaterial used in the left-handed layers. When the effects of absorption are considered, then a divergence of the localization length is still observed, under some conditions, in the short wavelength limit.

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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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Anderson localization and Brewster anomalies in photonic disordered quasiperiodic lattices

Cited by 16 publications

References 28 publications

Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices

Anomalous Localization of Light in One-Dimensional Disordered Photonic Superlattices

Suppression of Anderson localization of light in one-dimensional disordered photonic superlattices

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

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