Theory and simulation of the dynamics and stability of actively modelocked lasers

A new model is proposed for the active modulation component of a mode-locked laser cavity. By using Jacobi elliptic functions to capture the periodic forcing to the cavity, we are able to construct exact solutions representing a mode-locked pulse train. Two families of pulse-train solutions are gene...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 2002-10, Vol.38 (10), p.1412-1419
Main Authors: O'Neil, J.J., Kutz, J.N., Sandstede, B.
Format: Article
Language:English
Subjects:
Dynamics of nonlinear optical systems
optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
Erbium-doped fiber lasers
Exact sciences and technology
Exact solutions
Fundamental areas of phenomenology (including applications)
Holes
Laser cavities
Laser mode locking
Laser modes
Laser optical systems: design and operation
Laser stability
Laser theory
Mathematical analysis
Mathematical models
Modulation
Modulation, tuning, and mode locking
Nonlinear optics
Optical attenuators
Optical fiber polarization
Optical pulse generation
Optical pulses
Optics
Physics
Pulse amplifiers
Stability
Trains
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Summary:A new model is proposed for the active modulation component of a mode-locked laser cavity. By using Jacobi elliptic functions to capture the periodic forcing to the cavity, we are able to construct exact solutions representing a mode-locked pulse train. Two families of pulse-train solutions are generated: one in which neighboring pulses are in-phase and a second in which neighboring pulses are out-of-phase. We show that only out-of-phase solutions allow for stable mode-locked pulse trains. Further, pulse-to-pulse interactions can generate instabilities that destroy the pulse train altogether or lead to Q-switching.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.2002.802979