Abstract
Speaker:
Gino Biondini
Northwestern University
Department of Applied Mathematics and Engineering Sciences
Title:
Slow dynamics of return-to-zero pulses in dispersion-managed systems
Abstract:
We consider a variational formulation of the nonlinear integro-differential
evolution equation of nonlinear Schroedinger (NLS) type that governs the
dynamics of localized pulses in a strongly dispersion-managed optical fiber
communication system. Using a Gaussian ansatz for the pulse shape, we
obtain a dynamical system that describes the slow evolution of the
characteristic pulse parameters, bypassing the complicated details of
pulse dynamics inside each dispersion map. Stationary solutions yield
analytical estimates for the parameters of dispersion-managed solitons
as a function of map strength and propagation constant. For more general,
non-stationary return-to-zero pulses, simple explicit expressions for the
evolution of the pulse parameters can be obtained in the limit of large
map strengths.
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