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

• Дата: 2008
• Автори: Gumen, L.N., Krokhin, A.A.
• Формат: Стаття
• Мова: English
• Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
• Назва видання: Физика низких температур
• Теми: Carbon nanotubes, quantum wires and Luttinger liquid
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/117565
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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.

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.