Stability of the pulselike solutions of the quintic complex Ginzburg{endash}Landau equation

Journal Article · Mon Jul 01 00:00:00 EDT 1996 · Journal of the Optical Society of America, Part B: Optical Physics

DOI:https://doi.org/10.1364/JOSAB.13.001439· OSTI ID:286557

Soto-Crespo, J M ^[1]; Akhmediev, N N; Afanasjev, V V ^[2]

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1. Instituto de Optica, Consejo Superior de Investigaciones Cientificas, Serrano 121, 28006 Madrid (Spain)
2. Optical Sciences Centre, Institute of Advanced Studies, The Australian National University, Canberra, 0200 (Australia)

We performed a detailed investigation of the stability of analytic pulselike solutions of the quintic complex Ginzburg{endash}Landau equation that describes the dynamics of the field in a passively mode-locked laser. We found that in general they are unstable except in a few special cases. We also obtained regions in the parameter space in which stable pulse solutions exist. These stable solutions do not have analytical expressions and must be calculated numerically. We compared and connected the regions in which stable solitonlike solutions exist with the lines for which we had analytical solutions. {copyright} {ital 1996 Optical Society of America.}

• OSTI ID: 286557
• Journal Information: Journal of the Optical Society of America, Part B: Optical Physics, Journal Name: Journal of the Optical Society of America, Part B: Optical Physics Journal Issue: 7 Vol. 13; ISSN JOBPDE; ISSN 0740-3224
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
GINZBURG-LANDAU THEORY
LASERS
MODE LOCKING
PULSE TECHNIQUES
SOLITONS
STABILITY