Dark quadratic localized states and collapsed snaking in doubly resonant dispersive cavity enhanced second harmonic generation

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 (3)

• 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

Cited by in corpus (3)

• Bistable soliton optical frequency combs in a second harmonic generation Kerr cavity
• Emergence of collapsed snaking related dark and bright Kerr dissipative solitons with quartic-quadratic dispersion
• Approximate localised dihedral patterns near a Turing instability