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Modelling of high-power supercontinuum generation in highly nonlinear, dispersion shifted fibers at CW pump

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Abstract

For the first time a remarkably exact match was achieved of the results from modelling of CW-pumped SC in a highly non-linear fibre with experiment (A.K. Abeeluck et al. Opt. Lett. 29, 2163–2165 (2004)) where a wide-band SC in the 1200–1780-nm range was reported. Our simulation results show that decay of CW pump radiation into a train of sub-picosecond pulses induced by the modulation instability leads to formation of optical solitons. Energy and carrier frequency of the solitons are random parameters because of quantum noise in the pump radiation. We found that a relatively smooth SC spectrum obtained by us from modelling and observed experimentally comes from averaging of a large number of soliton spectra and the spectrum of short-wavelength non-soliton radiation that is generated because of resonant pumping of energy from solitons.

©2005 Optical Society of America

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Figures (4)

Fig. 1.
Fig. 1. Dynamics of SC generated by a CW pump radiation propagating through HNLF (simulation results). Upper graph row – spectra (smoothed spectra shown in red, unsmoothed ones, in grey), lower row – intensity vs. time after propagation over the distance z (corresponding values are given above the graphs). P 0 = 4 W, λ0 = 1486 nm, β2 = -0.17 ps2/km, β3 = 0.0393 ps3/km.
Fig. 2.
Fig. 2. Soliton frequency shift vs. soliton energy. Each point corresponds to a soliton obtained in simulations (P 0 = 4 W, λ0 = 1486 nm, z = 500 m, β2 = -0.17 ps2/km, β3 = 0.0393 ps3/km).
Fig. 3.
Fig. 3. Continuum spectra obtained by averaging of 50 results of numerical simulations (averaging time 1.5 ns). Parameters: CW pump with P 0 = 4 W, λ0 = 1486 nm, 0.5-km-long HNLF with β2 = -0.17 ps2/km, β3 = 0.0393 ps3/km
Fig. 4.
Fig. 4. Continuum spectra obtained by averaging results of numerical simulations with different averaging time (number of spectra averaged × 2T max ): 1.5, 2.4 and 19.2 ns for green, blue and black lines accordingly. Corresponding values of T max : 15, 120 and 480 ps. Simulation parameters: CW pump with P 0 = 3.5 W, λ0 = 1486 nm, 0.5-km-long HNLF with β2 = -0.17 ps2/km, β3 = 0.0393 ps3/km.

Equations (2)

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A z = i k = 2 k max i k k ! β k k A t k + ( 1 + i ω 0 t ) ( A ( z , t ) 0 R ( t ) | A ( z , t t ) | 2 d t )
Ω = 2 γ P 0 β 2 3.56 THz
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