Critical behavior with dramatic enhancement of modulational instability gain in fiber systems with periodic variation dispersion

Fourth-order dispersion mediated modulation instability in dispersion oscillating fibers

“…The latter process can be obtained from periodically varying power [4,5] or dispersion [6][7][8] causing the appearance of a virtual grating, the wave vector of which contributes to the phase matching relation. This has been widely theoretically investigated in the context of long-haul telecommunication networks [4][5][6][7]9] because this effect is highly detrimental in such settings. In fact, due to the spatial scale (in the order of a hundred kilometer) involved in these systems, MI sidebands are spectrally generated in the tens of GHz range, that typically corresponds to the bit rate of modern telecommunication systems and then leads to signal distortions.…”

Gain sideband splitting in dispersion oscillating fibers

“…7(c)), the gain of the inner sideband drops down to a few dB only, whereas the gain of the outer sub-sideband does not change significantly. Let us point out that, contrary to several other studies which were earlier carried out with reference to dispersion managed transmission systems [14], we do not consider here a periodic amplification of the field.…”

“…Nevertheless, we checked that these effects do not have a noticeable influence on the MI spectral dynamics that we are going to describe. MI induced by the longitudinal variations of chromatic dispersion has been theoretically investigated before in a wide range of configurations, ranging from sinusoidal profiles with a spatial period of a few tens of meters [5,9], up to dispersion-managed systems with periods of several kilometers [6,[12][13][14]. We consider in this contribution the specific case of DOF whose parameters are inspired by the previous numerical works which were carried out in the context of the transmission of high-speed telecommunication signals in dense dispersion managed links [15].…”

Nonlinear parametric resonances in quasiperiodic dispersion oscillating fibers

“…We neglect here the slight variations of the effective area of the fundamental mode that may appear during the drawing process of the single mode fiber and we consider the nonlinear coefficient γ as constant. MI or parametric resonance induced by the longitudinal variations of chromatic dispersion was theoretically investigated before in a wide range of configurations, ranging from sinusoidal profiles with a spatial period of a few tens of meters [17,19], up to dispersion-managed systems with periods of several kilometers [20][21][22][23]. Let us consider a fiber dispersion profile that evolves with distance z according to the following sinusoidal rule:…”