Localization and delocalization of light under oblique incidence

Du, Xu; Zhang, Dongxiang; Zhang, Xiulan; Feng, Baojie; Zhang, Daozhong

doi:10.1103/physrevb.56.28

Cited by 15 publications

(8 citation statements)

References 13 publications

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“…4,5 However, exceptions to localization occur for the stationary states of vectorial electromagnetic waves referred to as "Brewster delocalization anomalies." [6][7][8][9][10][11][12] This effect corresponds to the pronounced suppression, and in some special circumstances complete inhibition, of localization at oblique incidence for p-polarized light. It is a highly robust behavior present in both strongly disordered stacks (e.g., where there is uncorrelated layer thicknesses [6][7][8], and weakly disordered stacks (e.g., where there is uniform disorder about a mean thickness 11 ).…”

mentioning

confidence: 95%

“…We anticipate that our study will stimulate analysis of birefringent systems that have weak disorder and a wavelength dependance to their localization length, including further examples of biophotonic structures. Given the general robustness of Brewster anomaly effects in dielectric media with a range of weak and strong disorder, [6][7][8][9][10][11][12] we expect that the Brewster anomaly suppressing effects could also be achieved for many different forms of thickness disorder. In turn, this could then inform the design process of a new class of polarization-insensitive mirror based upon the averaging of the interfacial reflection coefficients in the structure.…”

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confidence: 99%

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Suppression of Brewster delocalization anomalies in an alternating isotropic-birefringent random layered medium

Jordan¹,

Partridge²,

Roberts

2013

Phys. Rev. B

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We investigate the polarization dependence of localization length in alternating isotropic-birefringent stacks with uncorrelated thickness disorder. The birefringent layers can be positive uniaxial, negative uniaxial, or a mixture of both. Stacks which contain a mixture are shown to suppress the Brewster delocalization anomalies and, over all incident angles, exhibit p-polarization localization length maxima that are of similar magnitude to normal incidence. Furthermore, we propose a parameter set that enables the p-polarization localization length to monotonically decrease with angle of incidence. This investigation was inspired by weakly polarizing mirrors on the sides of silvery fish and provides a generic means to produce polarization-insensitive, broadband reflections from a random, all-dielectric layered medium.

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confidence: 95%

mentioning

confidence: 99%

Suppression of Brewster delocalization anomalies in an alternating isotropic-birefringent random layered medium

Jordan¹,

Partridge²,

Roberts

2013

Phys. Rev. B

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“…25 while, in Ref. 26 , the polarization properties of localization have been considered experimentally.…”

Section: Introductionmentioning

confidence: 99%

Effects of polarization on the transmission and localization of classical waves in weakly scattering metamaterials

et al. 2010

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We summarize the results of our comprehensive analytical and numerical studies of the effects of polarization on the Anderson localization of classical waves in one-dimensional random stacks. We consider homogeneous stacks composed entirely of normal materials or metamaterials, and also mixed stacks composed of alternating layers of a normal material and a metamaterial. We extend the theoretical study developed earlier for the case of normal incidence ͓A. A. Asatryan et al., Phys. Rev. B 81, 075124 ͑2010͔͒ to the case of off-axis incidence. For the general case where both the refractive indices and layer thicknesses are random, we obtain the long-wave and short-wave asymptotics of the localization length over a wide range of incidence angles ͑including the Brewster "anomaly" angle͒. At the Brewster angle, we show that the long-wave localization length is proportional to the square of the wavelength, as for the case of normal incidence, but with a proportionality coefficient substantially larger than that for normal incidence. In mixed stacks with only refractive-index disorder, we demonstrate that p-polarized waves are strongly localized, while for s polarization the localization is substantially suppressed, as in the case of normal incidence. In the case of only thickness disorder, we study also the transition from localization to delocalization at the Brewster angle.

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“…For oblique incidence, the reflection coefficients for s-and p-polarized plane waves are different even for isotropic materials 17 so the localization properties of light should be different for different polarizations. [22][23][24] Indeed, it was shown in Ref. 22 that localization lengths depend upon the polarization for oblique incidence in a disordered binary system of nonmagnetic dielectric layers.…”

Section: Introductionmentioning

confidence: 99%

Effect of polarization upon light localization in random layered magnetodielectric media

et al. 2011

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Light propagation in a random system of isotropic magnetodielectric layers is studied numerically and analytically. It is shown that if the values of permittivity and permeability are randomly distributed, whereas the characteristic impedance does not change throughout the system, the Lyapunov exponent (the inverse localization length) grows with the angle of incidence and does not depend on the polarization of the incident wave. This independence appears only on the ensemble averaging because in any specific realization the transmission coefficients for sand p-polarized light are different. The numerical results confirm analytical analysis.

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Localization and delocalization of light under oblique incidence

Cited by 15 publications

References 13 publications

Suppression of Brewster delocalization anomalies in an alternating isotropic-birefringent random layered medium

Suppression of Brewster delocalization anomalies in an alternating isotropic-birefringent random layered medium

Effects of polarization on the transmission and localization of classical waves in weakly scattering metamaterials

Effect of polarization upon light localization in random layered magnetodielectric media

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