Integration of nonlinearity-management and dispersion-management for pulses in fiber-optic links

Multi-level optimization of a fiber transmission system via nonlinearity management

“…4, it is easy to see that the optimal pre-compensation length for the best system configuration (η 1 = 0.6, η 2 = 1, and L = 50 km) is approximately equal to 3.8 km, instead of the 2.2 km that would have been predicted by (2) . Note that Killey et al's method for calculating the pre-compensation length in lumped amplification systems is obtained under the assumption that nonlinearities are accumulated in the transmission span only, and not in the DCF.…”

“…Indeed, the possibility of exerting control over the signal power profile and perform direct nonlinearity management [1][2][3][4] allows for the balancing of the penalties originated from noise accumulation and from nonlinear impairments, thus leading to increased system reach or expanded performance margins [5].…”

Stabilization and destabilization of second-order solitons against perturbations in the nonlinear Schrödinger equation

“…It is worth noting the differences in parameter c for both cases. For ǫ < 0, positive c in the fitting set (10) means that, even for a strong perturbation, a final waiting time is required to observe the splitting of the 2-soliton, which is another manifestation of its stabilization by the quintic self-focusing term. On the contrary, for ǫ > 0, the best fit actually required to choose c < 0-in the parameter region where formula (8) with c < 0 produces T > 0.…”

“…[7,8,9], and the integration of the NLM with the DM was considered in Ref. [10]. In terms of Bose-Einstein condensates (BECs) in dilute atomic gases, which, in the mean-field approximation, is also described by the NLSE (called the Gross-Pitaevskii equation, in that context [11]), the NLM represents the application of the Feshbach-resonance technique to the BEC in the case when the resonance is induced by a variable (ac) magnetic field [12].…”

Stabilization of spatiotemporal solitons in second-harmonic-generating media

“…Another possibility is to consider periodic mismatch management, which corresponds to the situation with the QPM is implemented in the form of a superlattice, rather than a simple periodic lattice [26]. It is also relevant to mention theoretically investigated tandem systems, that offer a possibility to minimize the mismatch in a waveguide built as a periodic concatenation of linear and v ð2Þ -nonlinear segments, in the temporal [27,28] and spatiotemporal [29] domains alike (a v ð3Þ -counterpart of the tandems is represented by split-step systems [31][32][33][34]). The self-trapping of light in walkoff-compensating tandem structures was demonstrated experimentally in Ref.…”