Analysis of band gap of non-bravais lattice photonic crystal fiber

Abstract

This article designs a novel type of non-bravais lattice photonic crystal fiber. To form the nesting complex-period with positive and negative refractive index materials respectively, a cylinder with the same radius and negative refractive index is introduced into the center of each lattice unit cell in the traditional square lattice air-holes photonic crystal fiber. The photonic band-gap of the photonic crystal fiber is calculated numerically by the plane wave expansion method. The result shows that compared with the traditional square photonic band-gap fiber (PBGF), when R/\mathrm{\Lambda } is 0.35, the refractive index of the substrate, air-hole, and medium-column are 1.30, 1.0, and -\mathrm{1.0}, respectively. This new PBGF can transmit signal by the photonic band-gap effect. When the lattice constant \mathrm{\Lambda } varies from \mathrm{1.5}\mathrm{\mu }\mathrm{m} to \mathrm{3.0}\mathrm{\mu }\mathrm{m}, the range of the wavelength ranges from 880 nm to 2300 nm.

Key words： photonic crystal fiber; negative refractive index; non-bravais lattice; photonic band-gap

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