Abstract
An analytical description of the evolution and interaction of quasi-linear optical pulses in strongly dispersion managed transmission systems is presented. Longscale pulse dynamics in dispersion-managed optical fibers is governed by a nonlinear nonlocal equation, referred to as the dispersion managed nonlinear Schrodinger (DMNLS) equation, which is obtained by employing an appropriate multiscale expansion of the perturbed nonlinear Schrodinger equation. The role of nonlinearity in quasilinear pulse transmission is elucidated by asymptotic analysis of the DMNLS equation. In the framework of the DMNLS equation, quasi-linear pulse transmission, where nonlinearity is mitigated, can be viewed as degenerate limits of dispersion managed soliton transmission, where nonlinearity balances dispersion. The DMNLS equation also provides an analytical model that describes nonlinear intrachannel interactions between adjacent pulses in quasi-linear transmission, such as their energy exchange and frequency modulation.
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