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 constants for the E...
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| Published in: | Физика низких температур |
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| Date: | 2008 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117565 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| 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_short |
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_sort |
index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites |
| author |
Gumen, L.N. Krokhin, A.A. |
| author_facet |
Gumen, L.N. Krokhin, A.A. |
| topic |
Carbon nanotubes, quantum wires and Luttinger liquid |
| topic_facet |
Carbon nanotubes, quantum wires and Luttinger liquid |
| publishDate |
2008 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/117565 |
| fulltext |
|
| 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. |
| work_keys_str_mv |
AT gumenln indexofrefractionofaphotoniccrystalofcarbonnanotubesandhomogenizationofopticallyanisotropicperiodiccomposites AT krokhinaa indexofrefractionofaphotoniccrystalofcarbonnanotubesandhomogenizationofopticallyanisotropicperiodiccomposites |
| first_indexed |
2025-11-24T11:37:45Z |
| last_indexed |
2025-11-24T11:37:45Z |
| _version_ |
1850845620658503680 |