Abstract
The dynamical evolution of the modulational instability is studied in a coherently driven passive optical fiber cavity. We show that periodic pattern generated close to the threshold experience convective and absolute Eckhaus instabilities. In addition to this splitting of the secondary instabilities into convective and absolute instabilities we have observed that the onset of the absolute regime is accompanied by the emergence of spatio-temporal chaos.
Keywords
- Secondary Instability
- Absolute Instability
- Absolute Regime
- Third-order Dispersion (TOD)
- Modulated Solution
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M. Tlidi, M. Taki, T. Kolokolnikov, Chaos 17, 037101 (2007)
N. Akhmediev, A. Ankiewicz, Dissipative Solitons: From Optics to Biology and Medicine (Springer, Berlin, 2008)
A. Mussot, E. Louvergneaux, N. Akhmediev, F. Reynaud, L. Delage, M. Taki, Phys. Rev. Lett. 101, 113904 (2008)
F. Leo, S. Coen, P. Kockaert, S.-P. Gorza, P. Emplit, M. Haelterman, Nat. Photonics 4, 471 (2010)
A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, M. Douay, Phys. Lett. A 374, 691 (2010)
F. Leo, A. Mussot, P. Kockaert, P. Emplit, M. Haelterman, M. Taki, Phys. Rev. Lett. 110, 104103 (2013)
J.A. Sherratt, M.J. Smith, J.D.M. Rademacher, Proc. Natl. Acad. Sci. USA 106, 10890 (2009)
L.A. Lugiato, R. Lefever, Phys. Rev. Lett. 58, 2209 (1987)
M. Haelterman, S. Trillo, S. Wabnitz, Opt. Commun. 91, 401 (1992)
R. Zambrini, M. San Miguel, C. Durniak, M. Taki. Phys. Rev. E 72, 025603 (2005)
P. Manneville, Instabilities, Chaos and Turbulence (Imperial College Press, London, 1994)
I.S. Aranson, L. Kramer, Rev. Mod. Phys. 74, 99 (2002)
I.S. Aranson, L. Aranson, L. Kramer, A. Weber, Phy. Rev. A 46, 2992 (1992)
P. Huerre, P.A. Monkewitz, Annu. Rev. Fluid Mech. 22, 473 (1990)
C. Bender, S. Orszag, Advanced Mathematical Methods for Scientists and Engineers (MacGraw-Hill, New York, 1978)
H. Ward, M.N. Ouarzazi, M. Taki, P. Glorieux, Phys. Rev. E 63, 016604 (2000)
G.S. Triantafyllou, Phys. Fluids 6, 164 (1993)
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Liu, Z., Leo, F., Coulibaly, S., Taki, M. (2016). Secondary Instabilities and Chaos in Optical Ring Cavities. In: Tlidi, M., Clerc, M. (eds) Nonlinear Dynamics: Materials, Theory and Experiments. Springer Proceedings in Physics, vol 173. Springer, Cham. https://doi.org/10.1007/978-3-319-24871-4_12
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DOI: https://doi.org/10.1007/978-3-319-24871-4_12
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