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Effects of polarization on the transmission and localization of classical waves in weakly scattering metamaterials | | Ara A. Asatryan
; Lindsay C. Botten
; Michael A. Byrne
; Valentin D. Freilikher
; Sergey A. Gredeskul
; Ilya V. Shadrivov
; Ross C. McPhedran
; Yuri S. Kivshar
; | | Date: |
17 Aug 2010 | | Abstract: | The results of a comprehensive analytical and numerical study of the effects
of polarization on the Anderson localization of classical waves in
one-dimensional random stacks are presented. Our treatment considers
homogeneous stacks composed entirely of natural (normal) materials or
metamaterials, and also mixed stacks composed of alternating layers of a normal
material and a metamaterial, with balanced amounts of both. The theoretical
treatment developed earlier for the case of normal incidence [Phys. Rev. B
extbf{81}, 075124 (2010)] is extended to the case of off-axis incidence. For
the general case where both refractive index and layer thickness 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’’ angle). At
the Brewster angle, it is shown that the long wave localization length is
proportional to the square of the wavelength, as for the case of normal
incidence, but with a coefficient of proportionality substantially larger than
for normal incidence. In mixed stacks with only refractive index disorder
present, 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, the transition from
localization to delocalization at the Brewster angle has also been studied. | | Source: | arXiv, 1008.2816 | | Services: | Forum | Review | PDF | Favorites | |
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