Dark quadratic localized states and collapsed snaking in doubly resonant dispersive cavity-enhanced second-harmonic generation
Pedro Parra‐Rivas, Carlos Mas Arabí, François Léo
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.
Topics & Concepts
Homoclinic orbitHomoclinic bifurcationPhysicsDissipative systemQuadratic equationBifurcationClassical mechanicsHeteroclinic orbitPlane (geometry)HarmonicOpticsNonlinear systemQuantum mechanicsGeometryMathematicsAdvanced Fiber Laser TechnologiesNonlinear Photonic SystemsLaser-Matter Interactions and Applications