Spectral-temporal analysis of dispersive wave generation in photonic crystal fibers of different dispersion slope

Based on the generalized nonlinear Schrodinger equation, we present a numerical investigation of dispersive wave generation in photonic crystal fibers pumped with femtosecond pulses in the anomalous dispersion region. Both positive dispersion slope and negative dispersion slope for pump wavelength are studied. It is demonstrated that the wavelength of the dispersive wave can be blue-shifted or red-shifted relative to the center wavelength of the soliton, depending on the dispersion slope of the pump wavelength. The spectral-temporal dynamics of dispersive wave generation is shown using the cross-correlation frequency-resolved optical gating (X-FROG) technique, which is numerically computed with a windowed Fourier transform. Further, we find a phenomenon that the X-FROG spectrogram of the corresponding output signal exhibits a parabolic shape, which is consistent with the wavelength dependence of the group delay. In particular, the phenomenon of soliton trapping of the dispersive wave is observed with an increase of pump power.