Effect of polarization upon light localization in random layered magnetodielectric media

Ignatov, A. I.; Merzlikin, A. M.; Виноградов, А. П.; Lisyansky, A. A.

doi:10.1103/physrevb.83.224205

Cited by 3 publications

(2 citation statements)

References 29 publications

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“…It is easy to see that the presence of coupling modes enhances the ξ s and reduces ξ p with respect to the values ξ s (0) and ξ p (0) obtained when the coupling modes are absent, assuming that the incident angle is not zero. It is worth noticing that, in a random system of isotropic magnetodielectric layers when characteristic impedance does not change throughout the system, the inverse localization length grows with the angle of incidence and does not depend on the polarization of the incident wave [32].…”

Section: A Localization Lengthmentioning

confidence: 99%

Light transport in one-dimensional arrays of infinitesimal magnetoactive dielectric sheets: Theory and numerical simulations

Gasparian¹,

Gevorkian²,

Barco³

2013

Phys. Rev. A

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We have provided a complete description of light propagation at an oblique angle of incidence in disordered one-dimensional (1D) ultrathin magnetophotonic crystals with an arbitrary number of sheets. We have shown that in the long-wavelength limit, when the parameter d L,R λ is much less than unity (L,R is the relative permittivity for left-and right-polarized light, d is the thickness of the sheet, and λ is the wavelength), the photon transport problem in a 1D magnetophotonic crystal is identical to Anderson's two-channel model. In our discussion we include mode conversion and derive exact and closed analytical expressions for all scattering matrix elements. We have calculated the Faraday and Kerr rotational angles for a periodic system. Our formulas predict correctly the main trends of magneto-optic effects in 1D systems. We also derived analytical expressions for photon localization lengths, in a weak disordered regime, for s and p modes and for circular polarized light. We demonstrate that the presence of coupling modes enhances ξ s and reduces ξ p with respect to the values ξ s (0) and ξ p (0) obtained when the coupling modes are absent. Presented analytical expressions for localization lengths are in good agreement with numerical calculations, exact up to order δ 2 (δ being the disorder strength), and valid up to angles of incidence of 1.56 rad.

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Section: A Localization Lengthmentioning

confidence: 99%

Light transport in one-dimensional arrays of infinitesimal magnetoactive dielectric sheets: Theory and numerical simulations

Gasparian¹,

Gevorkian²,

Barco³

2013

Phys. Rev. A

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“…Even though it has been studied extensively for over half a century, Anderson localization of quantum particles and classical waves continues to attract the interest of many researchers [1,2,3,4,5,6,7,8]. We focus especially on the unique phenomenon called Brewster anomaly (BA), which is the delocalization of p-polarized electromagnetic waves in randomly-stratified media at a special incident angle [9,10,11,12,13,14,15]. Understanding the mechanism of this phenomenon in anisotropic media, which can be encountered frequently among both naturally-occurring media and fabricated metamaterials, is crucial in the development of polarization-insensitive reflectors and polarization-sensitive optical devices, as well as in understanding some bio-optical properties [16,17,18,19,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Anderson localization and Brewster anomaly of electromagnetic waves in randomly-stratified anisotropic media

Kim

2019

Mater. Res. Express

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Anderson localization of p-polarized waves and the Brewster anomaly phenomenon, which is the delocalization of p-polarized waves at a special incident angle, in randomly-stratified anisotropic media are studied theoretically for two different random models. In the first model, the random parts of the transverse and longitudinal components of the dielectric tensor, between which the longitudinal component is the one in the stratification direction, are assumed to be uncorrelated, while, in the second model, they are proportional to each other. We calculate the localization length in a precise way using the invariant imbedding method. From analytical considerations, we provide an interpretation of the Brewster anomaly as a phenomenon arising when the wave impedance is effectively uniform. Similarly, the ordinary Brewster effect is interpreted as an impedance matching phenomenon. We derive the existence condition for the Brewster anomaly and concise analytical expressions for the localization length, which are accurate in the weak disorder regime. We find that the Brewster anomaly can arise only when disorder is sufficiently weak and only in the second model with a positive ratio of the random parts. The incident angle at which the anomaly occurs depends sensitively on the ratio of the random parts and the average values of the tensor components. In the cases where the critical angle of total reflection exists, the angle at which the anomaly occurs can be either bigger or smaller than the critical angle. When the transverse and longitudinal components are uncorrelated, localization is dominated by the the transverse component at small incident angles. When only the longitudinal component is random, the localization length diverges as θ −4 as the incident angle θ goes to zero and is also argued to diverge for all θ in the strong disorder limit.

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Anderson localization of electromagnetic waves in randomly-stratified magnetodielectric media with uniform impedance

Kim

2015

Opt. Express

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The propagation and the Anderson localization of electromagnetic waves in a randomly-stratified slab, where both the dielectric permittivity and the magnetic permeability depend on one spatial coordinate in a random manner, is theoretically studied. The case where the wave impedance is uniform, while the refractive index is random, is considered in detail. The localization length and the disorder-averaged transmittance of s and p waves incident obliquely on the slab are calculated as a function of the incident angle θ and the strength of randomness in a numerically precise manner, using the invariant imbedding method. It is found that the waves incident perpendicularly on the slab are delocalized, while those incident obliquely are localized. As the incident angle increases from zero, the localization length decreases from infinity monotonically to some finite value. The localization length is found to depend on the incident angle as θ^-4 and a simple analytical formula, which works quite well for weak disorder and small incident angles, is derived. The localization length does not depend on the wave polarization, but the disorder-averaged transmittance generally does.

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Effect of polarization upon light localization in random layered magnetodielectric media

Cited by 3 publications

References 29 publications

Light transport in one-dimensional arrays of infinitesimal magnetoactive dielectric sheets: Theory and numerical simulations

Light transport in one-dimensional arrays of infinitesimal magnetoactive dielectric sheets: Theory and numerical simulations

Anderson localization and Brewster anomaly of electromagnetic waves in randomly-stratified anisotropic media

Anderson localization of electromagnetic waves in randomly-stratified magnetodielectric media with uniform impedance

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