Proceedings PaperMathematical approximations for the amplitude of the fundamental mode field (LP01) of a dispersion shifted fiber at six wavelengths
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Hydro-Quebec optical network includes more than 5,000 km of optical ground wires  (OPGW) using dispersion shifted fibers (SMF-DSTM) -. This paper provides a model of the index profile for a typical reference fiber and the mathematical approximations of the amplitude of the LP01 mode at six important wavelengths (1.31, 1.41, 1.45, 1.48, 1.55, 1.625 μm). The fiber model has a triangular core and a quadratic ring shape. The weakly guided mode is obtained using the variational principle  implemented using an algorithm based on a Laguerre-Gauss-Bessel approximation of the field . We modeled the wavelength dependence of the index of refraction of germanium doped silica using an experimental formula . A comprehensive algorithm was developed to compute the normalized damping factor W and the normalized propagation constant U in the variational algorithm. The mode field diameter, group velocity and chromatic dispersion were also computed at the above wavelengths.