Regeneration of Airy pulses in fiber-optic links with dispersion management of the two leading dispersion terms of opposite signs

Dispersion management of periodically alternating fiber sections with opposite signs of two leading dispersion terms is applied for the regeneration of self-accelerating truncated Airy pulses. It is demonstrated that for such a dispersion management scheme, the direction of the acceleration of the pulse is reversed twice within each period. In this scheme the system features light hot spots in the center of each fiber section, where the energy of the light pulse is tightly focused in a short temporal slot. Comprehensive numerical studies demonstrate a long-lasting propagation also under the influence of a strong fiber Kerr nonlinearity.

Figure 1

(a) The dynamics of the Airy pulse in the quasilinear regime in a DM scheme with alternation of only SOD ($\epsilon =0$). (b) The dynamics of Airy pulses in five periods of the DM scheme under the action of equal-strength SOD and TOD, with $\epsilon =-1$ in Eq. (1). (c) The dynamics under the action of strongly dominant TOD with $\epsilon =-1000$. Here and below, all results are presented in normalized units. Here and Fig. 2 the absolute value of the field is shown instead of the intensity for better visibility of the low-power regions of the pulse.

Figure 2

The dynamics of Airy pulses in the strongly nonlinear regime with the amplitude $A=3$. The dynamics (a) for five periods of the DM scheme based on only SOD compensation and (b) for five periods of the DM scheme under equal action of SOD and TOD with $\epsilon =-1$. (c) Dynamics for 20 periods of the DM scheme under the dominance of TOD with $\epsilon =-1000$ and amplitude $A=10$.

Figure 3

Evolution of the peak power of the Airy pulse in the strongly nonlinear regime for 40 periods of the DM scheme under the dominant action of TOD with $\epsilon =-100$ and an amplitude of (a) $A=1$ and (b) $A=2$.

Figure 4

Reduction of the peak power enhancement in nonlinear propagation regimes with various pulse peak intensities for 20 periods of the DM scheme under the dominant action of TOD (a) with $\epsilon =-100$ and (b) with $\epsilon =-1000$. The green dashed, blue dot-dashed, red dotted, and black solid curves stand for the cases with $A=0.5,1,2$, and 5, respectively.