Low Temperature Physics: 38, 570 (2012); https://doi.org/10.1063/1.4736617 (33 pages)
Физика Низких Температур: Том 38, Выпуск 7 (Июль 2012), c. 728-765    ( к оглавлению , назад )

Anderson localization in metamaterials and other complex media (Review Article)

Sergey A. Gredeskul1, Yuri S. Kivshar2, Ara A. Asatryan3, Konstantin Y. Bliokh 4,5, Yuri P. Bliokh6, Valentin D. Freilikher7, and Ilya V. Shadrivov2

1Ben Gurion University of the Negev, 84105 Beer-Sheva, Israel
E-mail: sergeyg@bgu.ac.il

2Nonlinear Physics Centre, Research School of Physics and Engineering, The Australian National University, Canberra, ACT 0200, Australia

3 Department of Mathematical Sciences, University of Technology, Sydney, NSW 2007, Australia

4Advanced Science Institute, RIKEN, Wako-shi, Saitama 351-0198, Japan

5A. Usikov Institute of Radiophysics and Electronics, 12 Ak. Proskury St., Kharkov 61085, Ukraine

6Department of Physics, Technion — Israel Institute of Technology, 32100 Haifa, Israel

7Department of Physics, Bar-Ilan University, Raman-Gan, 52900, Israel

Received March 14, 2012


We review some recent (mostly ours) results on the Anderson localization of light and electron waves in complex disordered systems, including: (i) left-handed metamaterials, (ii) magnetoactive optical structures, (iii) graphene superlattices, and (iv) nonlinear dielectric media. First, we demonstrate that left-handed metamaterials can significantly suppress localization of light and lead to an anomalously enhanced transmission. This suppression is essential at the long-wavelength limit in the case of normal incidence, at specific angles of oblique incidence (Brewster anomaly), and in the vicinity of the zero-ε or zero-μ frequencies for dispersive metamaterials. Remarkably, in disordered samples comprised of alternating normal and left-handed metamaterials, the reciprocal Lyapunov exponent and reciprocal transmittance increment can differ from each other. Second, we study magnetoactive multilayered structures, which exhibit nonreciprocal localization of light depending on the direction of propagation and on the polarization. At resonant frequencies or realizations, such nonreciprocity results in effectively unidirectional transport of light. Third, we discuss the analogy between the wave propagation through multilayered samples with metamaterials and the charge transport in graphene, which enables a simple physical explanation of unusual conductive properties of disordered graphene superlatices. We predict disorder-induced resonances of the transmission coefficient at oblique incidence of the Dirac quasiparticles. Finally, we demonstrate that an interplay of nonlinearity and disorder in dielectric media can lead to bistability of individual localized states excited inside the medium at resonant frequencies. This results in nonreciprocity of the wave transmission and unidirectional transport of light.

PACS: 42.25.Dd Wave propagation in random media;
PACS: 72.15.Rn Localization effects;
PACS: 78.67.Pt Multilayers; superlattices; photonic structures; metamaterials;
PACS: 78.20.Ls Magnetooptical effects;
PACS: 72.80.Vp Electronic transport in graphene;
PACS: 42.65.Pc Optical bistability, multistability, and switching, including local field effects.

Ключевые слова: disordered structures, Anderson localization, metamaterials, magnetoactive media, graphene, nonlinear media.