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Table 2 Taylor series expansion of the propagation constant

From: Design of hexagonal chalcogenide photonic crystal fiber with ultra-flattened dispersion in mid-infrared wavelength spectrum

Coefficient

Value

\({\beta }_{2}\)

50.969 \({ps}^{2}/km\)

\({\beta }_{3}\)

0.863 \({ps}^{3}/km\)

\({\beta }_{4}\)

−0.00227 \({ps}^{4}/km\)

\({\beta }_{5}\)

−5.277 \(\times {10}^{-5}\) \({ps}^{5}/km\)

\({\beta }_{6}\)

2.502 \(\times {10}^{-6}\) \({ps}^{6}/km\)

\({\beta }_{7}\)

5.5305 \(\times {10}^{-7}\) \({ps}^{7}/km\)

\({\beta }_{8}\)

−5.341 \(\times {10}^{-9}\) \({ps}^{8}/km\)

\({\beta }_{9}\)

−8.112 \(\times {10}^{-11}\) \({ps}^{9}/km\)