Influence of external phase and gain-loss modulation on bound solitons in laser systems

Year: 2009

Authors: Chang W., Akhmediev N., Wabnitz S., Taki M.

Autors Affiliation: Optical Sciences Group, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200, Australia; Dipartimento di Elettronica per l\’Automazione, University of Brescia, Via Branze 38, 25123 Brescia, Italy; Laboratoire de Physique des Lasers, Atomes et Molecules, UMR-CNRS 8523 IRCICA, Universite des Sciences et Technologies de Lille, 59655 Villeneuve d\’Ascq Cedex, France

Abstract: We study the dynamics of bound solitons of the complex cubic-quintic Ginzburg- Landau equation under the influence of external modulation. We consider periods of modulation being either smaller or larger than the soliton separation and the amplitude of modulation being either real or imaginary. For each case, we observe bifurcation and hysteresis phenomena in the parameters of the pair when changing the amplitude of modulation. Namely, soliton separation and phase difference between the solitons may take two or more values for the same modulation amplitude. In the case of gain-loss modulation, two solitons may split and be positioned in the two equilibrium states of the periodic potential. The complicated dynamics of this process is illustrated with numerical examples.


Volume: 26 (11)      Pages from: 2204  to: 2210

More Information: N. Akhmediev and W Chang gratefully acknowledge the support of the Australian Research Council (Discovery project DP0985394).
KeyWords: Solitons, Cubic-quintic Ginzburg-Landau equation; Equilibrium state; External modulation; Gain-loss modulations; Hysteresis phenomenon; Modulation amplitudes; Periodic potentials; Soliton separation, Modulation
DOI: 10.1364/JOSAB.26.002204

Citations: 16
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