Stochastic resonance in vertical-cavity surface-emitting lasers based on a multiple time-scale analysis

Area of Science:

• Physics
• Optoelectronics
• Nonlinear Dynamics

Background:

• Polarization switching in vertical-cavity surface-emitting lasers (VCSELs) is a complex phenomenon.
• Stochastic resonance (SR) is a noise-induced effect observed in nonlinear systems.
• Understanding SR in VCSELs can lead to improved laser performance and novel applications.

Purpose of the Study:

• To provide analytical evidence of stochastic resonance in polarization switching VCSELs.
• To develop a simplified model for studying SR in VCSELs.
• To validate advanced analytical techniques for stochastic systems.

Main Methods:

• Developed a two-mode stochastic rate equation model for VCSELs.
• Applied a multiple time-scale analysis to simplify the dynamical description.
• Reduced the system to a single stochastic differential equation for analytical study.
• Validated analytical results with numerical simulations of the original rate equations.

Main Results:

• Analytical evidence for stochastic resonance in polarization switching VCSELs was established.
• A simplified stochastic differential equation accurately represents the system dynamics.
• The multiple time-scale analysis was confirmed as a valid tool for stochastic equations.

Conclusions:

• Stochastic resonance is analytically demonstrated in polarization switching VCSELs.
• The multiple time-scale analysis provides an effective method for studying noise effects in VCSELs.
• This work offers a pathway for understanding and controlling noise-induced phenomena in optoelectronic devices.