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    Dynamics of an inhomogeneously broadened passively mode-locked laser
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2018) Pimenov, Alexander; Vladimirov, Andrei G.
    We study theoretically the effect of inhomogeneous broadening of the gain and absorption lines on the dynamics of a passively mode-locked laser. We demonstrate numerically using travelling wave equations the formation of a Lamb-dip instability and suppression of Q-switching in a laser with large inhomogeneous broadening. We derive simplified delay-differential equation model for a mode-locked laser with inhomogeneously broadened gain and absorption lines and perform numerical bifurcation analysis of this model.
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    Effect of chromatic dispersion on multimode laser dynamics: Delay differential model
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Vladimirov, Andrei G.; Huyet, Guillaume; Pimenov, Alexander
    A set of differential equations with distributed delay is derived for modeling of multimode ring lasers with intracavity chromatic dispersion. Analytical stability analysis of continuous wave regimes is performed and it is demonstrated that sufficiently strong anomalous dispersion can destabilize these regimes.