Dark solitons of the power-energy saturation model: application to mode-locked lasers

The generation and dynamics of dark solitons in mode-locked lasers is studied within the framework of a nonlinear Schrödinger equation which incorporates power-saturated loss, as well as energy-saturated gain and filtering. Mode-locking into single dark solitons and multiple dark pulses are found by...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2013-03, Vol.46 (9), p.95201-18
Main Authors: Ablowitz, M J, Nixon, S D, Horikis, T P, Frantzeskakis, D J
Format: Article
Language:English
Subjects:
dark solitons
Dynamic tests
Dynamical systems
Filtering
Filtration
Gain
Lasers
Mathematical models
mode-locking
Nonlinear dynamics
optics
perturbation theory
Solitons
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Summary:The generation and dynamics of dark solitons in mode-locked lasers is studied within the framework of a nonlinear Schrödinger equation which incorporates power-saturated loss, as well as energy-saturated gain and filtering. Mode-locking into single dark solitons and multiple dark pulses are found by employing different descriptions for the energy and power of the system defined over unbounded and periodic (ring laser) systems. Treating the loss, gain and filtering terms as perturbations, it is shown that these terms induce an expanding shelf around the soliton. The dark soliton dynamics are studied analytically by means of a perturbation method that takes into regard the emergence of the shelves and reveals their importance.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/46/9/095201