1 May 2014 Temporal localized structures in a photonic crystal fiber resonator
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We investigate analytically and numerically the effect of the higher order dispersion on the dynamic of a photonic crystal fiber resonator pumped continuously by a coherent injected beam. The linear stability analysis shows that the fourth order dispersion bounds the zone of modulation instability between two pump power levels and predict a motion of solution induced by the broken symmetry mediated by the third order dispersion. We perform a weakly non linear analysis on the vicinity of the first threshold associated with modulation instability. The amplitude and the non linear correction of velocity of periodic structures are estimated. This analysis allowed us to determine the threshold of apparition of bright localized structures and we have also shown that dark localized structures can be stabilized on the neighborhood of the second threshold of modulation instability. Numerical solutions of the governing equations are in close agreement with analytical predictions.
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L. Bahloul, L. Bahloul, L. Cherbi, L. Cherbi, H. Hariz, H. Hariz, "Temporal localized structures in a photonic crystal fiber resonator", Proc. SPIE 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III, 91360Q (1 May 2014); doi: 10.1117/12.2051943; https://doi.org/10.1117/12.2051943

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