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Photonic bandgap with an index step of one percent

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Abstract

Early work suggested that very large refractive index contrasts would be needed to create photonic bandgaps in two or three dimensionally periodic photonic crystals. It was then shown that in two-dimensionally periodic structures (such as photonic crystal fibres) a non-zero wavevector component in the axial direction permits photonic bandgaps for much smaller index contrasts. Here we experimentally demonstrate a photonic bandgap fibre made from two glasses with a relative index step of only 1%.

©2005 Optical Society of America

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Figures (3)

Fig. 1.
Fig. 1. (a) Optical micrograph of the end-face of the empty photonic crystal fibre preform. (b) Optical micrograph of part of the partly-filled preform, showing some multimode fibres whose large cores will form nodes in the bandgap fibre’s cladding, and the one single-mode fibre (lower left) that will form the effectively-undoped core of the bandgap fibre. (c) Scanning electron micrograph of the end-face of fibre A drawn from a filled preform. The high-index nodes appear light in the backscattered-electron image because Ge is a stronger scatterer of electrons than Si. (A carbon coating was used under the SEM, as it is more transparent than gold.) The residual single-mode core is barely visible within the low-index bandgap-guiding core in the centre.
Fig. 2.
Fig. 2. (a) Output near-field images from 10 m of fibre A at indicated wavelengths for wide illumination (hence the nodes are lit up). A bandgap-guided mode is present in the central core for green and orange light. (b) Transmission spectra of fibre A, measured (black curve) and calculated (broken curve) for 0.2 m and measured (blue curve) for 10 m. The wavelengths of the images in (a) are marked as coloured circles on the corresponding curve.
Fig. 3.
Fig. 3. (a) Output near-field image from 1.8 m of fibre B at 650 nm wavelength for tightly-focused illumination (hence only the bandgap-guided core mode is lit up). (b) The intensity pattern calculated for fibre B at the same wavelength. Note the six faint satellite spots around the main lobe of the pattern in both images.

Equations (1)

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V = 2 π ρ λ N A ,
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