Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites
We consider the long-wavelength limit for a periodic arrangement of carbon nanotubes. Using the Fourier
 expansion method we develop an effective-medium theory for photonic crystal of aligned optically
 anisotropic cylinders. Exact analytical formulas for the effective dielectric con...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/117565 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Index of refraction of a photonic crystal of carbon
 nanotubes and homogenization of optically anisotropic
 periodic composites
 / L.N. Gumen, A.A. Krokhin
 // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1072–1080. — Бібліогр.: 47 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862537040465231872 |
|---|---|
| author | Gumen, L.N. Krokhin, A.A. |
| author_facet | Gumen, L.N. Krokhin, A.A. |
| citation_txt | Index of refraction of a photonic crystal of carbon
 nanotubes and homogenization of optically anisotropic
 periodic composites
 / L.N. Gumen, A.A. Krokhin
 // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1072–1080. — Бібліогр.: 47 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | We consider the long-wavelength limit for a periodic arrangement of carbon nanotubes. Using the Fourier
expansion method we develop an effective-medium theory for photonic crystal of aligned optically
anisotropic cylinders. Exact analytical formulas for the effective dielectric constants for the E and H
eigenmodes are obtained for arbitrary 2D Bravais lattice and arbitrary cross-section of anisotropic cylinders.
It is shown that depending on the symmetry of the unit cell photonic crystal of anisotropic cylinders behaves
in the low-frequency limit like uniaxial or biaxial optical crystal. The developed theory of homogenization
is in a good agreement with existing experimental results for the dielectric tensor of photonic crystals
of carbon nanotubes.
|
| first_indexed | 2025-11-24T11:37:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-117565 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-11-24T11:37:45Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gumen, L.N. Krokhin, A.A. 2017-05-24T18:37:57Z 2017-05-24T18:37:57Z 2008 Index of refraction of a photonic crystal of carbon
 nanotubes and homogenization of optically anisotropic
 periodic composites
 / L.N. Gumen, A.A. Krokhin
 // Физика низких температур. — 2008. — Т. 34, № 10. — С. 1072–1080. — Бібліогр.: 47 назв. — англ. 0132-6414 PACS: 42.70.Qs;41.20.Jb;42.25.Lc;78.67.Ch https://nasplib.isofts.kiev.ua/handle/123456789/117565 We consider the long-wavelength limit for a periodic arrangement of carbon nanotubes. Using the Fourier
 expansion method we develop an effective-medium theory for photonic crystal of aligned optically
 anisotropic cylinders. Exact analytical formulas for the effective dielectric constants for the E and H
 eigenmodes are obtained for arbitrary 2D Bravais lattice and arbitrary cross-section of anisotropic cylinders.
 It is shown that depending on the symmetry of the unit cell photonic crystal of anisotropic cylinders behaves
 in the low-frequency limit like uniaxial or biaxial optical crystal. The developed theory of homogenization
 is in a good agreement with existing experimental results for the dielectric tensor of photonic crystals
 of carbon nanotubes. This work is supported by the US Department of Energy
 grant # DE-FG02-06ER46312. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Carbon nanotubes, quantum wires and Luttinger liquid Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites Article published earlier |
| spellingShingle | Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites Gumen, L.N. Krokhin, A.A. Carbon nanotubes, quantum wires and Luttinger liquid |
| title | Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| title_full | Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| title_fullStr | Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| title_full_unstemmed | Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| title_short | Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| title_sort | index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| topic | Carbon nanotubes, quantum wires and Luttinger liquid |
| topic_facet | Carbon nanotubes, quantum wires and Luttinger liquid |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/117565 |
| work_keys_str_mv | AT gumenln indexofrefractionofaphotoniccrystalofcarbonnanotubesandhomogenizationofopticallyanisotropicperiodiccomposites AT krokhinaa indexofrefractionofaphotoniccrystalofcarbonnanotubesandhomogenizationofopticallyanisotropicperiodiccomposites |