We measure a value of N_2 = 2.45\;\times\;1016 cm2/W ({\pm}5%) by self-phase modulation (SPM) in two 20 km dispersion-shifted fibers for random polarization at 1.55 \mum. There is still some dispersive broadening and we find that an accurate determination of N_2 requires fitting the experimental (SPM) spectra with a computer simulation to account for the variation in pulse shape and fiber properties along the length of the fiber. We also show that spectral information provides information about the input pulse properties.


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