Control of dissipative rogue waves in nonlinear cavity optics: Optical injection and time-delayed feedback

Area of Science:

• Nonlinear Optics
• Quantum Optics
• Laser Physics

Background:

• Dissipative optical systems can exhibit complex dynamics, including rogue waves.
• Transverse effects play a crucial role in the formation of these waves.
• Understanding rogue wave formation is vital for optical system stability and performance.

Purpose of the Study:

• To investigate the formation of two-dimensional dissipative rogue waves in nonlinear optical systems.
• To analyze the control mechanisms of rogue waves using time-delayed feedback and optical injection.
• To characterize the statistical properties of these rogue waves.

Main Methods:

• Analysis of driven Kerr optical cavities with optical injection.
• Study of broad-area surface-emitting lasers with saturable absorbers.
• Modeling of a fiber laser using the cubic-quintic Ginzburg-Landau equation.

Main Results:

• Time-delayed feedback and optical injection enable control over rogue wave formation.
• Increased feedback leads to the generation of giant, low-probability two-dimensional pulses.
• Optical injection can suppress rogue wave formation in semiconductor lasers.

Conclusions:

• Two-dimensional dissipative rogue waves are controllable in various optical systems.
• The statistical properties, including significant wave height, indicate extreme wave events.
• These findings have implications for managing wave phenomena in optical devices.