Anderson localization in metamaterials and other complex media

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 demonstr...

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Veröffentlicht in:Физика низких температур
Datum:2012
Hauptverfasser: Gredeskul, S.A., Asatryan, A.A., Bliokh, K.Y., Bliokh, Y.P., Freilikher, V.D., Shadrivov, I.V., Kivshar, Y.S.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2012
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/117269
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Anderson localization in metamaterials and other complex media / S.A. Gredeskul, Y.S. Kivshar, A.A. Asatryan, K.Y. Bliokh, Y.P. Bliokh, V.D. Freilikher, I.V. Shadrivov // Физика низких температур. — 2012. — Т. 38, № 7. — С. 728-765. — Бібліогр.: 110 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-117269
record_format dspace
spelling Gredeskul, S.A.
Asatryan, A.A.
Bliokh, K.Y.
Bliokh, Y.P.
Freilikher, V.D.
Shadrivov, I.V.
Kivshar, Y.S.
2017-05-21T17:12:45Z
2017-05-21T17:12:45Z
2012
Anderson localization in metamaterials and other complex media / S.A. Gredeskul, Y.S. Kivshar, A.A. Asatryan, K.Y. Bliokh, Y.P. Bliokh, V.D. Freilikher, I.V. Shadrivov // Физика низких температур. — 2012. — Т. 38, № 7. — С. 728-765. — Бібліогр.: 110 назв. — англ.
0132-6414
PACS: 42.25.Dd, 72.15.Rn, 78.67.Pt, 78.20.Ls, 72.80.Vp, 42.65.Pc
https://nasplib.isofts.kiev.ua/handle/123456789/117269
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.
We are pleased to dedicate this review paper to 80th anniversary of Academician Victor Valentinovich Eremenko and wish him a good health, good mood, and new scientific achievements. We also thank our co-authors especially L.C. Botten, M.A. Byrne, R.C. McPhedran, F. Nori, P. Rajan, and S. Savel'ev, for fruitful collaboration and discussions of many original results summarized in this review paper. S.G. is grateful to N.M. Makarov, P. Markos, and L.A. Pastur for useful comments and helpful discussions. This work was partially supported by the European Commission (Marie Curie Action). V.F acknowledges partial support from the Israeli Science Foundation (Grant № 894/10)
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Оптика и магнитооптика
Anderson localization in metamaterials and other complex media
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Anderson localization in metamaterials and other complex media
spellingShingle Anderson localization in metamaterials and other complex media
Gredeskul, S.A.
Asatryan, A.A.
Bliokh, K.Y.
Bliokh, Y.P.
Freilikher, V.D.
Shadrivov, I.V.
Kivshar, Y.S.
Оптика и магнитооптика
title_short Anderson localization in metamaterials and other complex media
title_full Anderson localization in metamaterials and other complex media
title_fullStr Anderson localization in metamaterials and other complex media
title_full_unstemmed Anderson localization in metamaterials and other complex media
title_sort anderson localization in metamaterials and other complex media
author Gredeskul, S.A.
Asatryan, A.A.
Bliokh, K.Y.
Bliokh, Y.P.
Freilikher, V.D.
Shadrivov, I.V.
Kivshar, Y.S.
author_facet Gredeskul, S.A.
Asatryan, A.A.
Bliokh, K.Y.
Bliokh, Y.P.
Freilikher, V.D.
Shadrivov, I.V.
Kivshar, Y.S.
topic Оптика и магнитооптика
topic_facet Оптика и магнитооптика
publishDate 2012
language English
container_title Физика низких температур
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description 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.
issn 0132-6414
url https://nasplib.isofts.kiev.ua/handle/123456789/117269
citation_txt Anderson localization in metamaterials and other complex media / S.A. Gredeskul, Y.S. Kivshar, A.A. Asatryan, K.Y. Bliokh, Y.P. Bliokh, V.D. Freilikher, I.V. Shadrivov // Физика низких температур. — 2012. — Т. 38, № 7. — С. 728-765. — Бібліогр.: 110 назв. — англ.
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