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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| Date: | 2008 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Series: | Физика низких температур |
| Subjects: | |
| 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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