2019 Conference on Lasers and Electro-Optics Europe &Amp; European Quantum Electronics Conference (CLEO/Europe-EQEC) 2019
DOI: 10.1109/cleoe-eqec.2019.8871641
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Localized Structures in Dispersive Doubly Resonant Optical Parametric Oscillators

Abstract: We study temporally localized structures in doubly resonant degenerate optical parametric oscillators in the absence of temporal walk-off. We focus on states formed through the locking of domain walls between the zero and a non-zero continuous wave solution. We show that these states undergo collapsed snaking and we characterize their dynamics in the parameter space.

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Cited by 1 publication
(4 citation statements)
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References 65 publications
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“…Thus, dark quadratic soliton pairs can only exist in regimes (i) two upper branches (blue area in Fig. 4) where the solutions above the threshold are modulationally stable; (ii) the regime between the Maxwell point and the threshold where the upper branch solution is also modulationally stable [29]. Note that the parametric pump driving term ρA* in Eq.…”
Section: Dark Solitonmentioning
confidence: 96%
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“…Thus, dark quadratic soliton pairs can only exist in regimes (i) two upper branches (blue area in Fig. 4) where the solutions above the threshold are modulationally stable; (ii) the regime between the Maxwell point and the threshold where the upper branch solution is also modulationally stable [29]. Note that the parametric pump driving term ρA* in Eq.…”
Section: Dark Solitonmentioning
confidence: 96%
“…( 8)) is solely determined by the choice of the wave-vector mismatch ξ such that bright quadratic solitons can exist in both normal and anomalous GVD regimes as long as ξ • ks " < 0. As bright quadratic solitons are formed from locking of fronts connecting the two stable solutions (zero solution and the upper branch solution) [29], they can only exist in the bistable regime (purple area in Fig. 4) where !"…”
Section: Bright Solitonmentioning
confidence: 99%
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