Localized structures in dispersive and 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 in corpus (11)

• Influence of Stimulated Raman Scattering on Kerr domain walls and localized structures
• Optical frequency combs in quadratically nonlinear resonators
• Quadratic soliton mode-locked degenerate optical parametric oscillator
• Parametric localized patterns and breathers in dispersive quadratic cavities
• Localized structures formed through domain wall locking in cavity-enhanced second-harmonic generation
• Dark quadratic localized states and collapsed snaking in doubly resonant dispersive cavity enhanced second harmonic generation
• Sech-squared Pockels solitons in the microresonator parametric down-conversion
• Two-color flat-top solitons in microresonator-based optical parametric oscillators
• Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion
• Optical-parametric-oscillation-based ${\chi }^{(2)}$ frequency comb in a lithium niobate microresonator
• Deterministic generation of parametrically driven dissipative Kerr soliton