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Inverse design and fabrication tolerances of ultra-flattened dispersion holey fibers

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Abstract

We employ a Genetic Algorithm for the dispersion optimization of a range of holey fibers (HF) with a small number of air holes but good confinement loss. We demonstrate that a dispersion of 0±0.1 ps/nm/km in the wavelength range between 1.5 and 1.6µm is achievable for HFs with a range of different transversal structures, and discuss some of the trade-offs in terms of dispersion slope, nonlinearity and confinement loss. We then analyze the sensitivity of the total dispersion to small variations from the optimal value of specific structural parameters, and estimate the fabrication accuracy required for the reliable fabrication of such fibers.

©2005 Optical Society of America

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Figures (5)

Fig. 1.
Fig. 1. Fiber structures to be optimized by the GA.
Fig. 2.
Fig. 2. Solutions of the Genetic Algorithm for the 3 fibers in Fig. 1. Plot F4 is the dispersion of an 11 rings structure with constant d/Λ for all the holes. The inset zooms on the wavelength range in which the fibers have been optimized
Fig. 3.
Fig. 3. Variation of the total dispersion profile as some structural parameters are changed for fiber F2. Dotted lines indicate a ‘-’ variation, while continuous lines represent a ‘+’ variation.
Fig. 4.
Fig. 4. Variation of the total dispersion profile as all the holes in a ring are displaced from optimum position for fiber F2. Dotted lines indicate a ‘-’ variation, while continuous lines represent a ‘+’ variation.
Fig. 5.
Fig. 5. Sensitivity of the 4 fibers to an error on the dimension of the first ring of air holes: (a) average dispersion parameter and (b) dispersion slope in the interval 1.5–1.6 µm.

Tables (2)

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Table 1. Structural parameters and optical properties of the best fibers obtained through the GA

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Table 2. Fabrication tolerances for a range of structurally different fibers

Equations (1)

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F = λ i = 1.5 μ m 1.6 μ m D ( λ i )
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