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Proceedings Paper

Temporal localized structures in a photonic crystal fiber resonator
Author(s): L. Bahloul; L. Cherbi; H. Hariz
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Paper Abstract

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.

Paper Details

Date Published: 1 May 2014
PDF: 7 pages
Proc. SPIE 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III, 91360Q (1 May 2014); doi: 10.1117/12.2051943
Show Author Affiliations
L. Bahloul, Univ. des Sciences et de la Technologie Houari Boumediene (Algeria)
L. Cherbi, Univ. des Sciences et de la Technologie Houari Boumediene (Algeria)
H. Hariz, Univ. des Sciences et de la Technologie Houari Boumediene (Algeria)


Published in SPIE Proceedings Vol. 9136:
Nonlinear Optics and Its Applications VIII; and Quantum Optics III
Benjamin J. Eggleton; Alexander V. Sergienko; Arno Rauschenbeutel; Alexander L. Gaeta; Neil G. R. Broderick; Thomas Durt, Editor(s)

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