Localized structures in dispersive and doubly resonant optical parametric oscillators

Area of Science:

• Nonlinear Optics
• Quantum Optics
• Laser Physics

Background:

• Doubly resonant degenerate optical parametric oscillators (OPOs) are fundamental systems in nonlinear optics.
• These systems exhibit complex spatio-temporal dynamics, including localized structures.
• Understanding these structures is key to controlling light-matter interactions.

Purpose of the Study:

• To investigate temporally localized structures in OPOs without temporal walk-off.
• To analyze states formed by locking domain walls between zero and nonzero continuous-wave solutions.
• To characterize the dynamics of these localized states within the parameter space.

Main Methods:

• Theoretical analysis of OPO dynamics.
• Numerical simulations of localized structure formation and evolution.
• Phase space analysis of collapsed snaking phenomena.

Main Results:

• Temporally localized structures are identified in the studied OPO system.
• These structures are shown to arise from the locking of domain walls.
• The dynamics of these states exhibit collapsed snaking behavior.
• Characterization of the parameter space reveals the conditions for stability and evolution of these structures.

Conclusions:

• The study reveals novel temporally localized structures in OPOs.
• Collapsed snaking is a key dynamic mechanism for these structures.
• The findings contribute to a deeper understanding of nonlinear phenomena in optical systems.