Anderson localization in metamaterials with compositional disorder
We consider one-dimensional periodic-on-average bi-layered models with random perturbations in dielectric constants of both basic slabs composing the structure unit-cell. We show that when the thicknesses da and db of basic layers are essentially nonequal, da ≠ db, the localization length Lloc is de...
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| Опубліковано в: : | Физика низких температур |
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| Дата: | 2011 |
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| Формат: | Стаття |
| Мова: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Anderson localization in metamaterials with compositional disorder / E.J. Torres-Herrera, F.M. Izrailev, N.M. Makarov // Физика низких температур. — 2011. — Т. 37, № 11. — С. 1201–1208. — Бібліогр.: 38 назв. — англ. |
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Torres-Herrera, E.J. Izrailev, F.M. Makarov, N.M. 2017-05-31T09:06:28Z 2017-05-31T09:06:28Z 2011 Anderson localization in metamaterials with compositional disorder / E.J. Torres-Herrera, F.M. Izrailev, N.M. Makarov // Физика низких температур. — 2011. — Т. 37, № 11. — С. 1201–1208. — Бібліогр.: 38 назв. — англ. 0132-6414 PACS: 72.15.Rn, 42.25.Dd, 42.70.Qs https://nasplib.isofts.kiev.ua/handle/123456789/118795 We consider one-dimensional periodic-on-average bi-layered models with random perturbations in dielectric constants of both basic slabs composing the structure unit-cell. We show that when the thicknesses da and db of basic layers are essentially nonequal, da ≠ db, the localization length Lloc is described by the universal expression for two cases: (a) both layers are made from right-handed materials (the RH–RH model), (b) the a layers are of a right-handed material while the b layers are of a left-handed material (the RH–LH model). For these models the derived expression for Lloc includes all possible correlations between two disorders. However, when da = db the RH–LH model exhibits a highly nontrivial properties originated from inhomogeneous distribution of the phase of propagating wave, even in the case of white-noise disorder. We analytically show that in this case the localization length diverges in the conventional second order in perturbation parameters. Therefore, recently numerically discovered anomalies in Lloc are due to the next order of approximation. On the other hand, for the RH–RH model the general expression for Lloc remains valid for da = db as well. We dedicate this paper to the memory of Prof. E.A. Kaner on the occasion of his 80th birthday and 55th anniversary of prediction of the Azbel–Kaner resonance. F.M. Izrailev acknowledges support from VIEP grant EXC08-G of the BUAP (Mexico). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Современные проблемы низкотемпературной физики конденсированного состояния Anderson localization in metamaterials with compositional disorder Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Anderson localization in metamaterials with compositional disorder |
| spellingShingle |
Anderson localization in metamaterials with compositional disorder Torres-Herrera, E.J. Izrailev, F.M. Makarov, N.M. Современные проблемы низкотемпературной физики конденсированного состояния |
| title_short |
Anderson localization in metamaterials with compositional disorder |
| title_full |
Anderson localization in metamaterials with compositional disorder |
| title_fullStr |
Anderson localization in metamaterials with compositional disorder |
| title_full_unstemmed |
Anderson localization in metamaterials with compositional disorder |
| title_sort |
anderson localization in metamaterials with compositional disorder |
| author |
Torres-Herrera, E.J. Izrailev, F.M. Makarov, N.M. |
| author_facet |
Torres-Herrera, E.J. Izrailev, F.M. Makarov, N.M. |
| topic |
Современные проблемы низкотемпературной физики конденсированного состояния |
| topic_facet |
Современные проблемы низкотемпературной физики конденсированного состояния |
| publishDate |
2011 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We consider one-dimensional periodic-on-average bi-layered models with random perturbations in dielectric constants of both basic slabs composing the structure unit-cell. We show that when the thicknesses da and db of basic layers are essentially nonequal, da ≠ db, the localization length Lloc is described by the universal expression for two cases: (a) both layers are made from right-handed materials (the RH–RH model), (b) the a layers are of a right-handed material while the b layers are of a left-handed material (the RH–LH model). For these models the derived expression for Lloc includes all possible correlations between two disorders. However, when da = db the RH–LH model exhibits a highly nontrivial properties originated from inhomogeneous distribution of the phase of propagating wave, even in the case of white-noise disorder. We analytically show that in this case the localization length diverges in the conventional second order in perturbation parameters. Therefore, recently numerically discovered anomalies in Lloc are due to the next order of approximation. On the other hand, for the RH–RH model the general expression for Lloc remains valid for da = db as well.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/118795 |
| citation_txt |
Anderson localization in metamaterials with compositional disorder / E.J. Torres-Herrera, F.M. Izrailev, N.M. Makarov // Физика низких температур. — 2011. — Т. 37, № 11. — С. 1201–1208. — Бібліогр.: 38 назв. — англ. |
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AT torresherreraej andersonlocalizationinmetamaterialswithcompositionaldisorder AT izrailevfm andersonlocalizationinmetamaterialswithcompositionaldisorder AT makarovnm andersonlocalizationinmetamaterialswithcompositionaldisorder |
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2025-12-01T14:16:36Z |
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2025-12-01T14:16:36Z |
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