Based on the dispersive Drude model in metamaterials (MMs), coupled nonlinear Schodinger equations are derived for two co-propagating optical waves with higher-order dispersions and cubic-quintic nonlinearities. And modulation instabilities induced by the cross -phase modulation (XMI) are studied. The impact of 3rd-, 4th-order of dispersion and quintic nonlinearity on the gain spectra of XMI is analyzed. It is shown that the 3rd-order dispersion has no effect on XMI and its gain spectra. With the increment of 4th-order dispersion, the gain spectra appear in higher frequency region (2nd spectrum region) and gain peaks become smaller.
We perform a study of extremely slow pulse propagation speed in densely-doped erbium fibers
by using a detuned signal. A quantum coherence effect, coherent population oscillations, produces
a very narrow spectral "hole" in the homogeneous broadened absorption profile of the
erbium-doped fiber. The resulting rapid spectral variation of the refractive index leads to a large
value of the group index. The interparticle interaction between the nearest neighboring active
particles due to the high density of erbium ions is considered. The result shows that the nonlinear
refractive index can be greatly increased which leads to the smaller group velocity and the larger
time delay.
We analyse the relationship between linewidth of emission spectra of erbium-doped fibers and electronic correlation. We
find the crosstalk from FWM and XPM in erbium-doped telluride fibers is weaker than that in erbium-doped silica
fibers.
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