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. Fi...
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| Published in: | Физика низких температур |
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| Date: | 2012 |
| Main Authors: | , , , , , , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117269 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862707095986503680 |
|---|---|
| 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. |
| 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. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| 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.
|
| first_indexed | 2025-12-07T17:03:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117269 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T17:03:45Z |
| publishDate | 2012 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| 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 |
| 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 | 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_short | Anderson localization in metamaterials and other complex media |
| title_sort | anderson localization in metamaterials and other complex media |
| topic | Оптика и магнитооптика |
| topic_facet | Оптика и магнитооптика |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117269 |
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