For a relatively long optical pulse in a fiber with a dispersion distance z0 much larger than the loss distance, a soliton cannot exist in an ideal sense. However, with a proper choice of the initial amplitude and amplifier distance za, a nonlinear pulse (a guiding-center soliton) propagates like a soliton over a distance much larger than the dispersion distance when it is periodically amplified at distances much shorter than the dispersion distance. The guiding-center soliton is shown to satisfy the nonlinear Schrödinger equation with a correction of order (za/z0)2. Numerical examples supported by analytical results are presented for distortionless propagation of the guiding-center solitons with a pulse width of 40 psec in a dispersion-shifted fiber of D = 1 psec/(nm-km).
© 1990 Optical Society of America
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