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Non-Conventional Anderson Localization in Bilayered Structures with Metamaterials | | E. J. Torres-Herrera
; F. M. Izrailev
; N. M. Makarov
; | | Date: |
15 Nov 2011 | | Abstract: | We have developed an approach allowing us to resolve the problem of
non-conventional Anderson localization emerging in bilayered
periodic-on-average structures with alternating layers of right-handed and
left-handed materials. Recently, it was numerically discovered that in such
structures with weak fluctuations of refraction indices, the localization
length $L_{loc}$ can be enormously large for small wave frequencies $omega$.
Within the fourth order of perturbation theory in disorder, $sigma^2 ll 1$,
we derive the expression for $L_{loc}$ valid for any $omega$. In the limit
$omega
ightarrow 0$ one gets a quite specific dependence, $L^{-1}_{loc}
propto sigma ^4 omega^8$. Our approach allows one to establish the
conditions under which this effect can be observed. | | Source: | arXiv, 1111.3397 | | Services: | Forum | Review | PDF | Favorites | |
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