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Proceedings Paper

Stability analysis of the mode-locking dynamics in a laser cavity with a passive polarizer
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Paper Abstract

A low-dimensional model is constructed via a variational formulation which characterizes the mode-locking dynamics in a laser cavity with a passive polarizer. The theoretical model accounts explicitly for the effects of the passive polarizer with a Jones matrix. In combination with the nonlinear interaction of the orthogonally polarized electromagnetic fields, the evolution of the mode-locked state reduces to the nonlinear interaction of the amplitude, width and phase chirp. This model allows for an explicit analytic prediction of the steady-state mode-locked state (fixed point) and its corresponding stability. The stability analysis requires a center manifold reduction which reveals that the solution decays to the mode-locked state on a timescale dependent on the gain bandwidth and the net cavity gain. Quantitative and qualitative agreement is achieved between the full governing model and the low-dimensional model, thus providing for an excellent design tool for characterizing and optimizing mode-locking performance.

Paper Details

Date Published: 4 August 2009
PDF: 8 pages
Proc. SPIE 7386, Photonics North 2009, 73861Z (4 August 2009); doi: 10.1117/12.837687
Show Author Affiliations
Edwin Ding, Univ. of Washington (United States)
J. Nathan Kutz, Univ. of Washington (United States)

Published in SPIE Proceedings Vol. 7386:
Photonics North 2009
Réal Vallée, Editor(s)

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