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Effect of cross-phase modulation on supercontinuum generated in microstructured fibers with sub-30 fs pulses

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Abstract

We investigate the effects of cross-phase modulation between the solitons and dispersive waves present in a supercontinuum generated in microstructured fibers by sub-30 fs pulses. Cross-phase modulation is shown to have a crucial importance as it extends the supercontinuum towards shorter wavelengths. The experimental observations are confirmed through numerical simulations.

©2004 Optical Society of America

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Supplementary Material (1)

Media 1: MOV (1390 KB)     

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Figures (10)

Fig. 1.
Fig. 1. Dispersion profile of the microstructured fiber. λ ZD : zero-dispersion wavelength.
Fig. 2.
Fig. 2. Supercontinuum spectra recorded at the output of the MF for increasing average input power. Pav : average power, XPM: cross-phase modulation, and DW: dispersive wave. λP =790 nm and Δ τ=27 fs.
Fig. 3.
Fig. 3. Phase-matching condition for the generation of the dispersive wave (blue line). The SC spectrum is displayed as a black line. Pav =118 mW, λP =790 nm, and Δτ=27 fs. λDW denotes the wavelength of the dispersive wave calculated from Eq. (1).
Fig. 4.
Fig. 4. Simulated SC spectrum. The parameters of the input pulse are the same as in the experiment shown in Fig. 3. For better comparison, the simulated spectrum was averaged over the same spectral window as is the resolution bandwidth of the optical spectrum analyzer applied in the experiments, i.e., 10 nm.
Fig. 5.
Fig. 5. Simulated spectrogram of the continuum after a) 2 cm, b) 5cm, d) 15 cm and d) 50 cm of propagation along the MF. DW: dispersive wave. Pav =118 mW, λP =790 nm, and Δτ=27 fs.
Fig. 6.
Fig. 6. Spectrogram and corresponding spectrum of the blue dispersive wave after a) 2 cm, b) 5 cm, c) 10 cm, d) 20 cm, e) 30 cm and f) 50 cm of propagation in the fiber.
Fig. 7.
Fig. 7. Spectrogram animation of the soliton and dispersive wave. [Media 1]
Fig. 8.
Fig. 8. Simulated spectrum of the dispersive wave for increasing propagation length using Eq. (3). a) z = 5 cm, b) z = 10 cm, and c) z = 20 cm.
Fig. 9.
Fig. 9. Experimental spectra as a function of input power recorded at the output of 1 m of the same MF as in Fig. 2. λP =800 nm, and Δτ=140 fs. The dashed line represents the spectrum of the input pulse.
Fig. 10.
Fig. 10. Simulated spectrogram of the continuum after 50 cm of propagation. λP =800 nm, Pav =50 mW and Δτ=140 fs. The parameters of the fiber are the same as the ones of Fig. 5.

Equations (3)

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Δβ = β ( ω P ) β ( ω DW ) = ( 1 f R ) γ ( ω P ) P P n 2 ( ω DW ω P ) n n ! β n ( ω P ) = 0 ,
δ φ XPM ( T ) = 2 γ ( ω DW ) A ( T Δ β 1 z ) 2 δz = 2 γ ( ω DW ) P S ( z ) sech ( T Δ β 1 z T S ( z ) ) 2 δz ,
B z + Δ β 1 B T + i β 2 ( ω DW ) 2 2 B T 2 = i φ XPM .
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