A variational approach with an arbitrary ansatz is used to derive the governing equations for the characteristic parameters
of dispersion-managed solitons. The Gaussian pulses are considered as a particular case. Moreover, the adiabatic
evolution equations of the dispersion-managed pulse parameters under perturbations are derived, considering an arbitrary
pulse profile. The theory is applied to the case of Gaussian pulses under different types of perturbations, such as the
amplifier noise, nonlinear interaction between pulses, and polarization-mode dispersion.
A variational approach with an arbitrary ansatz is used to derive the governing equations for the characteristic parameters of dispersion-managed solitons. The Gaussian pulses are considered as a particular case. The possibility of soliton propagation when the average dispersion is zero or normal is examined. Both polarization preserving fibers and birefringent fibers are considered.
An exact analytical solution is derived for the variance of the timing jitter of a dispersion-managed
soliton in the presence of synchronous amplitude modulators and filters. We show that, for a given
position of these control elements, a total suppression of the timing jitter is possible, which will permit
unlimited error free transmission distances of DM solitons. However, if only the modulator or the filter
is used, the asymptotic behavior of the timing jitter shows a linear dependence with distance, which is in
contrast with the cubic dependence in the uncontrolled case.
A variational approach with an arbitrary ansatz is used to derive the governing equations for the characteristic parameters of dispersion-managed solitons. Both Gaussian and super-Gaussian pulse profiles are considered as particular cases. The fundamental dynamics of DM pulses are characterized by their pulse width and frequency chirp. The possibility of soliton propagation when the average dispersion is zero or normal is examined.
In this paper we developed a simplified numerical averaging algorithm in order to obtain exactly periodic solutions of the non-linear Schrodinger equation (NLSE) with periodically varying coefficients. We calculate the pulse shape of the true dispersion-managed soliton, and show its long term stable propagation. This simplified model constitutes a variant of the original method much easier to program.
A variational method with an arbitrary ansatz is used to reduce the governing equation in the case of a periodic dispersion-managed fiber system to a coupled set of nonlinear ordinary differential equations. The phase-plane dynamics of the reduced system and the main characteristics of the dispersion managed pulses, namely the possibility of propagation when the average dispersion is zero or normal, are examined.
Dispersion-managed soliton transmission control using either synchronous amplitude modulators or narrow-band filters is examined. Exact analytical solutions are derived for the variance of the timing jitter in both cases. We show that a complete suppresion of the timing jitter is in general possible by a conventient choice of the strength and the relative position of the modulator or of the guiding filter in the dispersion map. The asymptotic behavior of the timing jitter shows a linear dependence with distance in both cases, which is in contrast wiht the cubic dependence in the uncontrolled case.
We study the optical pulse dynamics in a transmission system with periodic variation of dispersion, using the variational approach (VA). The dependence of soliton parameters on dispersion map strength is examined. We find that there is a critical map strength above which finite energy solitons can propagate at zero and normal average dispersion. The existence of two branches of soliton solutions in the normal dispersion regime for different levels of the pulse energy is observed.
In this paper we examine the dynamics of a pulse in fibers with periodic dispersion on the basis of the variational approach. Using this approach a set of two coupled differential equations for the evolution ofthe pulse width and chirp is obtained and numerically solved. We consider two different symmetric dispersion maps. The main difference is found to be on the dependence ofthe pulse energy on the map strength. It is shown that a dispersion —managed (DM) soliton can be supported in an optical fiber even when the average dispersion is in the normal regime. Our results show that the variational approach can be a useful and effective analytical method for optimization of soliton transmission systems with variable dispersion.