We examine the effects of optical nonlinearities that are due to the intensity-dependent index of refraction in optical fibers. The broadening of the frequency spectrum of an optical pulse will combine with the group-velocity dispersion, increasing the temporal pulse spreading, thereby limiting the information transmission rate. We derive an exact formula for the rms frequency width of a Gaussian input pulse after it undergoes self-phase modulation. This new formula gives good agreement with experimental results.
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Pinault et al. (1985) studied this question.
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