Dark quadratic localized states and collapsed snaking in doubly resonant dispersive cavity enhanced second harmonic generation
arXiv:2108.01367 · doi:10.1103/PhysRevA.104.063502
Abstract
We theoretically investigate the dynamics, bifurcation structure and stability of quadratic dark localized dissipative states arising in cavity enhanced second-harmonic generation. These states, formed through the locking of plane front waves, undergo collapsed homoclinic snaking and may exhibit oscillatory dynamics.
References in corpus (11)
- Temporal solitons in optical microresonators
- Dark solitons in the Lugiato-Lefever equation with normal dispersion
- Walk-off-induced modulation instability, temporal pattern formation, and frequency comb generation in cavity-enhanced second-harmonic generation
- Frequency comb formation in doubly resonant second-harmonic generation
- Quadratic Soliton Combs in Doubly-Resonant Second-Harmonic Generation
- Soliton and quasi-soliton frequency combs due to second harmonic generation in microresonators
- Localized structures in dispersive and doubly resonant optical parametric oscillators
- Quadratic soliton mode-locked degenerate optical parametric oscillator
- Localized structures on librational and rotational travelling waves in the sine-Gordon equation
- Parametric localized patterns and breathers in dispersive quadratic cavities
- Localized structures formed through domain wall locking in cavity-enhanced second-harmonic generation