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Nonlinear dynamics of mode-locking optical fiber ring lasers

Spaulding, Kristin M. and Yong, Darryl H. and Kim, Arnold D. and Kutz, J. Nathan (2002) Nonlinear dynamics of mode-locking optical fiber ring lasers. Journal of the Optical Society of America B, 19 (5). pp. 1045-1054. ISSN 0740-3224. doi:10.1364/JOSAB.19.001045.

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We consider a model of a mode-locked fiber ring laser for which the evolution of a propagating pulse in a birefringent optical fiber is periodically perturbed by rotation of the polarization state owing to the presence of a passive polarizer. The stable modes of operation of this laser that correspond to pulse trains with uniform amplitudes are fully classified. Four parameters, i.e., polarization, phase, amplitude, and chirp, are essential for an understanding of the resultant pulse-train uniformity. A reduced set of four coupled nonlinear differential equations that describe the leading-order pulse dynamics is found by use of the variational nature of the governing equations. Pulse-train uniformity is achieved in three parameter regimes in which the amplitude and the chirp decouple from the polarization and the phase. Alignment of the polarizer either near the slow or the fast axis of the fiber is sufficient to establish this stable mode locking.

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Additional Information:© 2002 Optical Society of America Received April 20, 2001; revised manuscript received November 5, 2001 We especially thank David Muraki for many valuable discussions pertaining to this research. Additionally, we thank the reviewers for their helpful comments, which have helped us to clarify several modeling issues in the paper. A.D. Kim and J.N. Kutz acknowledge support from the National Science Foundation (grants DMS-0071578 and DMS-0092682, respectively).
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Issue or Number:5
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Official Citation:Kristin M. Spaulding, Darryl H. Yong, Arnold D. Kim, and J. Nathan Kutz, "Nonlinear dynamics of mode-locking optical fiber ring lasers," J. Opt. Soc. Am. B 19, 1045-1054 (2002)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5724
Deposited By: Archive Administrator
Deposited On:30 Oct 2006
Last Modified:08 Nov 2021 20:28

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