Temporal localized structures in a photonic crystal fiber resonator

L. Bahloul; L. Cherbi; H. Hariz

doi:10.1117/12.2051943

1 May 2014 Temporal localized structures in a photonic crystal fiber resonator

L. Bahloul, L. Cherbi, H. Hariz

Proceedings Volume 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III; 91360Q (2014) https://doi.org/10.1117/12.2051943
Event: SPIE Photonics Europe, 2014, Brussels, Belgium

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.

Citation Download Citation

L. Bahloul, L. Cherbi, and 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); https://doi.org/10.1117/12.2051943

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available