Brewster Anomalies: A Polarization-Induced Delocalization Effect

Sipe, J. E.; Sheng, Ping; White, Bebo; Cohen, Morrel H.

doi:10.1103/physrevlett.60.108

Cited by 72 publications

(64 citation statements)

References 7 publications

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“…It is very important in the wave propagation applications because it carries the geometrical optics acoustics approximations. 20 In this section we do not use boldface for vectors, as is customary in the literature on stochastic di erential equations 21 The process z=" 2 , which e n ters through n in 2.28. For nite-dimensional systems the validity of B.9 and the form of the limit operators B.11, B.12, or B.14 is an easy consequence of the more general result B.…”

Section: 16mentioning

confidence: 99%

Frequency Content of Randomly Scattered Signals

Asch¹,

Papanicolaou²,

Postel³

et al. 1991

SIAM Rev.

153

189

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Abstract. The statistical properties of acoustic signals re ected by a randomly layered medium are analyzed when a pulsed spherical wave issuing from a point source is incident u p o n i t . The asymptotic analysis of stochastic equations and geometrical acoustics is used to arrive at a set of transport equations that characterize multiply scattered signals observed at the surface of the layered medium. The results of extensive n umerical simulations are presented, illustrating the scope of the theory. A n umber of inverse problems for randomly layered media are also formulated where we recover large scale properties of the sound speed pro le from the statistics of re ected signals.

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Section: 16mentioning

confidence: 99%

Frequency Content of Randomly Scattered Signals

Asch¹,

Papanicolaou²,

Postel³

et al. 1991

SIAM Rev.

153

189

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“…The transmission length manifests a sharp maximum at an angle close to the Brewster angle, as commented upon in Refs 27,45 . This is indeed apparent in Fig.…”

Section: F Dispersive Metamaterialsmentioning

confidence: 87%

“…These angles occupy an interval within which the stack is not completely transparent, but has anomalously large transmission lengths 27,45 .…”

Section: F Dispersive Metamaterialsmentioning

confidence: 99%

“…Random wave scattering and localization natu-rally appear in such systems, either due to technological imperfections or owing to the intentially designed random lattices. Importantly, exotic properties of the constituent materials essentially require consideration of the interplay of the Anderson localization with various additional effects: absorption and gain 9,[23][24][25][26] , polarization and spin [27][28][29][30] , nonlinearity 13,14,[31][32][33] , and magnetooptical phenomena [34][35][36] . In this review, we describe novel remarkable features of Anderson localization of waves in multilayered structures composed of non-conventional materials with unique intrinsic properties.…”

mentioning

confidence: 99%

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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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“…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%

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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Brewster Anomalies: A Polarization-Induced Delocalization Effect

Cited by 72 publications

References 7 publications

Frequency Content of Randomly Scattered Signals

Frequency Content of Randomly Scattered Signals

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

Anderson localization of light in disordered superlattices containing graphene layers

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