Theory of mode-locking using phase-sensitive amplification for saturable absorption

Simon Hachey; Christopher R. Jones; J. Nathan Kutz

doi:10.1117/12.845099

4 August 2009 Theory of mode-locking using phase-sensitive amplification for saturable absorption

Simon Hachey, Christopher R. Jones, J. Nathan Kutz

Proceedings Volume 7386, Photonics North 2009; 73862T (2009) https://doi.org/10.1117/12.845099
Event: Photonics North 2009, 2009, Quebec, Canada

Abstract

An averaged evolution equation is presented and its dynamics studied for a mode-locked laser where the intensitydiscrimination (saturable absorption) in the cavity is provided by phase-senstitive amplification. The phasesensitive amplifier acts as a phase-filter for selecting the specific intensity dependent phase-rotation of the modelocked pulse that locks the phase to the amplifier pump phase. The resulting averaged equation is a Swift- Hohenberg type model which is a fourth-order diffusion equation with cubic-quintic nonlinearities. Additionally, the governing evolution has a new linear growth term which couples to the nonlocal cavity energy. This parameter is a standard bifurcation parameter in Swift-Hohenberg models and is controlled by the cavity saturable gain. Such a modification to the governing evolution is the first of its kind to be considered theoretically in the context of the Swift-Hohenberg equation, and its significant impact on the mode-locked pulse dynamics and multi-pulsing behavior is explored.

Citation Download Citation

Simon Hachey, Christopher R. Jones, and J. Nathan Kutz "Theory of mode-locking using phase-sensitive amplification for saturable absorption", Proc. SPIE 7386, Photonics North 2009, 73862T (4 August 2009); https://doi.org/10.1117/12.845099

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