Brewster anomaly and transmission of light through one-dimensional random layered system

Aronov, A. G.; Gasparian, V.

doi:10.1016/0038-1098(90)90015-4

Cited by 14 publications

(20 citation statements)

References 2 publications

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“…However, in some special situations, it may happen that the localization length diverges. This phenomenon occurs for vector waves such as electromagnetic waves, and it was first predicted in [18] and then confirmed by several other papers [1,2,11,14,15]. In our paper, we reproduce the original result and extend it by considering multiscale random media and by using the more recent asymptotic techniques presented, for instance, in [7].…”

Section: Introductionsupporting

confidence: 84%

“…It has been studied in detail in the literature for scalar waves [3,12,13] and for vector electromagnetic waves [2,11,14,15,18]. It turns out (see also figure 5.1) that the localization length for the p-wave can take very large values or even diverge for a particular value of the angle, that we may call the generalized Brewster angle θ gB :…”

Section: Weak Convergence Of the Transmitted Pulsementioning

confidence: 99%

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Transmission and reflection of electromagnetic waves in randomly layered media

Garnier

Sølna

2015

Communications in Mathematical Sciences

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In this paper, the reflection of an obliquely incident electromagnetic wave on a randomly layered multiscale half-space is analyzed. By using homogenization and diffusion approximation theorems, it is possible to get a complete description of the reflectivity of the random half-space that depends on the effective reflectivity of the interface and on the random reflectivity of the bulk medium. Particular attention is devoted to the characterization of the Brewster anomalies that correspond to small or even zero reflectivity. It turns out that the interface reflectivity and the random medium reflectivity as functions of the incidence angle may both possess Brewster angles that minimize or even cancel them, but these two angles are in general different.

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Section: Introductionsupporting

confidence: 84%

Section: Weak Convergence Of the Transmitted Pulsementioning

confidence: 99%

Transmission and reflection of electromagnetic waves in randomly layered media

Garnier

Sølna

2015

Communications in Mathematical Sciences

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“…Disorder affects a wide variety of its physical properties, causes multiple light scattering, originates the extinction of coherent waves propagating through the photonic structure, and leads to a dramatic change of the localization properties of the electromagnetic modes. In this sense, the Anderson localization of light in disordered photonic crystals has been widely studied both from the experimental and theoretical points of view [6][7][8][13][14][15][16][17][18][19][20][21][22][23]. Considering the richness found in quasiperiodic RHM superlattices as compared to the periodic case, the aim of the present work is to theoretically investigate the light-localization properties in disordered Fibonacci and Thue-Morse photonic metastacks as well as the influence of both the structural disorder and quasiperiodicity on the Anderson localization length.…”

Section: Introductionmentioning

confidence: 99%

Anderson localization and Brewster anomalies in photonic disordered quasiperiodic lattices

et al. 2011

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A comprehensive study of the properties of light propagation through one-dimensional photonic disordered quasiperiodic superlattices, composed of alternating layers with random thicknesses of air and a dispersive metamaterial, is theoretically performed. The superlattices consist of the successive stacking of N quasiperiodic Fibonacci or Thue-Morse heterostructures. The width of the slabs in the photonic superlattice may randomly fluctuate around its mean value, which introduces a structural disorder into the system. It is assumed that the left-handed layers have a Drude-type dispersive response for both the dielectric permittivity and magnetic permeability, and Maxwell's equations are solved for oblique incidence by using the transfer-matrix formalism. The influence of both quasiperiodicity and structural disorder on the localization length and Brewster anomalies are thoroughly discussed.

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“…We can notice that at this angle the trmlsmission coefficient, is identically 1, independently of the frequency and of the order of the layers. The general feat.ures of the transmission coefficient are similar to those obtained for random layered systems [16] consisting of alternating layers of two materials wit,h their thickness distributed according to Poisson law. I11 Fig.…”

Section: B a A B A A B A B A A B A } With 13 Layers; And (C) To A Thumentioning

confidence: 91%