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Evolulion of solitons from nontransform-limited pulses

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Abstract

We consider the influence of chirp and noise on the formation of solitons in optical fibers. Elgin and Kaup1 have calculated the distribution of soli-tons obtained from stochastic initial profiles. They showed that the symmetric and antisymmetric parts of the noise lead, to first order, to changes in the amplitude and velocity of the soliton, respectively. Lewis2 studied the effects of a deterministic chirp on the formation of solitons. These authors showed that only some of the total energy in the pulse ended up as a soliton. Lassen et al.3 solved the evolution problem by a numerical integration of the nonlinear Schrodinger equation. They calculated the rms pulse width as a function of propagation distance and concluded, from its linear increase with distance, that solitons are unstable with respect to the addition of chirp.

© 1986 Optical Society of America

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