We analytically describe the effective evolution of a pulse (nonreturn-to-zero or return-to-zero) that propagates under the influence of a mean-zero dispersion map, nonlinearity, loss, and periodic amplification. On averaging, the governing equation is reduced to a set of coupled, nonlinear diffusion equations that describe the evolution of the pulse amplitude and phase and which capture the long-term interaction of dispersion and nonlinearity. The averaged equations are shown to be in good agreement with the full evolution until a predicted wave-breaking behavior is observed in the full equations.
|Original language||English (US)|
|Number of pages||9|
|Journal||Journal of the Optical Society of America B: Optical Physics|
|State||Published - Apr 1997|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics, and Optics