## Abstract

Restoration in both shape and spectrum of a (train of) 6.4-psec optical pulses has been observed at the soliton period in a single-mode fiber. The source was an F_{2}^{+} color-center laser at 1.55 *μ*m, and the fiber was 1.3 km long, which was one soliton period for this pulse width and wavelength. As predicted by the nonlinear Schrödinger equation, pulse restoration occurs despite initial spectral broadening from self-phase modulation and temporal compression as a result of negative group-velocity dispersion acting on the chirped pulse.

© 1983 Optical Society of America

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### Equations (5)

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(1)
$$i\frac{\text{d}V}{\text{d}\xi}=\frac{1}{2}\frac{{\text{d}}^{2}V}{\text{d}{s}^{2}}+\mid V{\mid}^{2}V,$$
(2)
$$\xi =\frac{\pi}{2}\frac{z}{{z}_{0}},\mathrm{\hspace{0.17em}\u200a\u200a}\mathrm{\hspace{0.17em}\u200a\u200a}\mathrm{\hspace{0.17em}\u200a\u200a}{z}_{0}=0.322\frac{{\pi}^{2}{c}^{2}{\tau}^{2}}{D(\lambda ){\lambda}_{0}},$$
(3)
$$s=\frac{t}{{t}_{0}}=\left|{t}^{\prime}-\frac{z}{{v}_{g}}\right|/{t}_{0},\mathrm{\hspace{0.17em}\u200a\u200a}\mathrm{\hspace{0.17em}\u200a\u200a}\mathrm{\hspace{0.17em}\u200a\u200a}{t}_{0}=0.568\tau ,$$
(4)
$$V(z=0,t)=A\hspace{0.17em}\text{sech}(t/{t}_{0}).$$
(5)
$${P}_{1}=\frac{{\lambda}_{0}{A}_{\text{eff}}}{4{N}_{2}{z}_{0}},$$