Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites

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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Datum:2008
Hauptverfasser: Gumen, L.N., Krokhin, A.A.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Schriftenreihe:Физика низких температур
Schlagworte:
Carbon nanotubes, quantum wires and Luttinger liquid
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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spelling nasplib_isofts_kiev_ua-123456789-1175652025-02-23T18:43:42Z 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 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. 2008 Article 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 en Физика низких температур application/pdf Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Carbon nanotubes, quantum wires and Luttinger liquid
Carbon nanotubes, quantum wires and Luttinger liquid
spellingShingle Carbon nanotubes, quantum wires and Luttinger liquid
Carbon nanotubes, quantum wires and Luttinger liquid
Gumen, L.N.
Krokhin, A.A.
Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites
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.
format Article
author Gumen, L.N.
Krokhin, A.A.
author_facet Gumen, L.N.
Krokhin, A.A.
author_sort Gumen, L.N.
title 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_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
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2008
topic_facet Carbon nanotubes, quantum wires and Luttinger liquid
url https://nasplib.isofts.kiev.ua/handle/123456789/117565
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.
series Физика низких температур
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AT krokhinaa indexofrefractionofaphotoniccrystalofcarbonnanotubesandhomogenizationofopticallyanisotropicperiodiccomposites
first_indexed 2025-11-24T11:37:45Z
last_indexed 2025-11-24T11:37:45Z
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