Effects of higher-order dispersion on resonant dispersive waves emitted by solitons

Abstract

Dispersive waves (DW) are generated owing to perturbation of solitons by higher-order dispersion (HOD) and nonlinearity during supercontinuum (SC) generation. The frequencies of these waves are governed by a phase-matching condition in the form of a polynomial whose coefficients depend on the numerical values of the properly normalized third- and HOD parameters. Our extensive numerical solutions show that all odd HOD terms generate a single peak on the blue or the red side of the carrier frequency, depending on the sign of the corresponding term. In contrast, positive even HOD terms create conjugate DW peaks, in both the blue and red sides. No radiation is observed for negative values of these parameters. The combination of all even and odd HOD coefficients may generate more than two DW peaks for some specific choice of parameters. The results predicted by the phase-matching condition agree well with extensive numerical simulations revealing interesting facts of SC generation.

Highly coherent red-shifted dispersive wave generation around 1.3 μm for efficient wavelength conversion

“…When high-order dispersion is considered, an odd order dispersion resonates with blue-shifted DW if it is positive, but a red-shifted DW if it is negative. 19 Meanwhile, the even order dispersion emits a DW in both directions if it is positive, whereas a DW does not occur if the even order dispersion is negative. A blue-shifted DW exists in the spectrum after the red DW has emerged.…”

Three octave spanning supercontinuum by red-shifted dispersive wave in photonic crystal fibers

“…11(b)), which confirms the existence of FWM and SRS effects. The weak SRS effect is dominated by the FWM process which generated a weak DW in blue regime and due to positive TOD, the DW are blue shifted with respect to the pumping wavelength [22]. At the fiber end, some peaks are observed in DW at the lower wavelength regime.…”

Dynamics of Raman soliton during supercontinuum generation near the zero-dispersion wavelength of optical fibers

“…It is well known that dispersive properties of the PCF play a governing role in producing the DW and controlling the SC generation [14]. Recent developments in PCF technology [15] have made it possible to observe new regimes of nonlinear pulse propagation because such fibers exhibit fascinating dispersion profiles with enhanced nonlinearities.…”