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

Edwin Ding; J. Nathan Kutz

doi:10.1117/12.837687

4 August 2009 Stability analysis of the mode-locking dynamics in a laser cavity with a passive polarizer

Edwin Ding, J. Nathan Kutz

Proceedings Volume 7386, Photonics North 2009; 73861Z (2009) https://doi.org/10.1117/12.837687
Event: Photonics North 2009, 2009, Quebec, Canada

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.

Citation Download Citation

Edwin Ding and J. Nathan Kutz "Stability analysis of the mode-locking dynamics in a laser cavity with a passive polarizer", Proc. SPIE 7386, Photonics North 2009, 73861Z (4 August 2009); https://doi.org/10.1117/12.837687

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